Datasets:
Codyfederer
/
synthia-tool-calling-tokenized

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
41
4.1k
attention_mask
listlengths
41
4.1k
labels
listlengths
41
4.1k
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 563, 506, 34846, 19372, 1694, 529, 506, 15852, 870, 236770, 236764, 236743, 236800, 236764, 236743, 236810, 236764, 236743, 236832, 236842, 532, 870, 236778, 236764, 236743, 236812, 236764, 236743, 236825, 236764, 236743, 236828, 95961, 106, 107, 105, 4368, 107, 818, 34846, 19372, 1694, 529, 506, 1156, 2238, 15852, 563, 870, 236770, 236764, 236743, 236778, 236764, 236743, 236800, 236764, 236743, 236812, 236764, 236743, 236810, 236764, 236743, 236825, 236764, 236743, 236832, 236764, 236743, 236828, 1619, 236743, 108, 9336, 529, 506, 3847, 6436, 659, 11955, 573, 672, 4209, 236764, 618, 66486, 19372, 15852, 563, 496, 4077, 118213, 5585, 711, 7438, 684, 506, 2487, 5151, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 563, 506, 34846, 19372, 1694, 529, 506, 15852, 870, 236770, 236764, 236743, 236800, 236764, 236743, 236810, 236764, 236743, 236832, 236842, 532, 870, 236778, 236764, 236743, 236812, 236764, 236743, 236825, 236764, 236743, 236828, 95961, 106, 107, 105, 4368, 107, 818, 34846, 19372, 1694, 529, 506, 1156, 2238, 15852, 563, 870, 236770, 236764, 236743, 236778, 236764, 236743, 236800, 236764, 236743, 236812, 236764, 236743, 236810, 236764, 236743, 236825, 236764, 236743, 236832, 236764, 236743, 236828, 1619, 236743, 108, 9336, 529, 506, 3847, 6436, 659, 11955, 573, 672, 4209, 236764, 618, 66486, 19372, 15852, 563, 496, 4077, 118213, 5585, 711, 7438, 684, 506, 2487, 5151, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 1262, 3671, 2203, 532, 1202, 531, 2426, 573, 87613, 528, 496, 15297, 236761, 5315, 236764, 12270, 7338, 30778, 7365, 699, 3104, 236743, 236778, 1699, 6757, 10387, 236764, 1299, 18840, 506, 756, 120848, 236779, 45332, 236789, 4321, 528, 600, 15297, 573, 87613, 1699, 1586, 236779, 92313, 236779, 31493, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 26898, 1083, 78493, 120848, 236779, 1735, 1083, 623, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236770, 827, 623, 3250, 1083, 623, 27286, 13768, 1366, 236770, 827, 623, 7777, 1083, 623, 98472, 5886, 25890, 607, 21931, 148407, 23179, 3714, 120848, 236779, 1735, 1083, 623, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236778, 827, 623, 3250, 1083, 623, 37625, 80135, 827, 623, 7777, 1083, 623, 20235, 236772, 2289, 2862, 11734, 607, 9690, 64470, 23179, 3714, 120848, 236779, 1735, 1083, 623, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236770, 827, 623, 3250, 1083, 623, 27286, 13768, 1366, 236770, 568, 87962, 22730, 623, 7777, 1083, 623, 81209, 4865, 529, 1366, 236770, 5886, 36112, 573, 18256, 7257, 23179, 3714, 120848, 236779, 1735, 1083, 623, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236800, 827, 623, 3250, 1083, 623, 19952, 6642, 50376, 827, 623, 7777, 1083, 623, 102711, 44751, 529, 5602, 3911, 532, 4563, 1262, 25938, 1604, 623, 4000, 236779, 3906, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236778, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236810, 236764, 623, 7633, 236779, 721, 236779, 4000, 1083, 236743, 236778, 236771, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 179826, 1083, 11058, 78277, 236770, 236778, 236800, 99471, 106, 107, 105, 4368, 107, 818, 3671, 529, 506, 756, 120848, 236779, 1735, 236789, 4321, 528, 7338, 30778, 7365, 699, 3104, 236743, 236778, 21577, 506, 2269, 36929, 236787, 108, 1018, 87962, 81396, 236779, 1735, 53121, 2165, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236770, 236929, 568, 233090, 10911, 528, 506, 15297, 236768, 108, 2094, 691, 1765, 684, 61872, 506, 2165, 120848, 236779, 1735, 236929, 2979, 699, 506, 236743, 236812, 7365, 580, 3104, 236743, 236778, 236787, 107, 2717, 107, 4119, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236770, 827, 623, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236778, 827, 623, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236770, 827, 623, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236800, 1935, 107, 2717, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 1262, 3671, 2203, 532, 1202, 531, 2426, 573, 87613, 528, 496, 15297, 236761, 5315, 236764, 12270, 7338, 30778, 7365, 699, 3104, 236743, 236778, 1699, 6757, 10387, 236764, 1299, 18840, 506, 756, 120848, 236779, 45332, 236789, 4321, 528, 600, 15297, 573, 87613, 1699, 1586, 236779, 92313, 236779, 31493, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 26898, 1083, 78493, 120848, 236779, 1735, 1083, 623, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236770, 827, 623, 3250, 1083, 623, 27286, 13768, 1366, 236770, 827, 623, 7777, 1083, 623, 98472, 5886, 25890, 607, 21931, 148407, 23179, 3714, 120848, 236779, 1735, 1083, 623, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236778, 827, 623, 3250, 1083, 623, 37625, 80135, 827, 623, 7777, 1083, 623, 20235, 236772, 2289, 2862, 11734, 607, 9690, 64470, 23179, 3714, 120848, 236779, 1735, 1083, 623, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236770, 827, 623, 3250, 1083, 623, 27286, 13768, 1366, 236770, 568, 87962, 22730, 623, 7777, 1083, 623, 81209, 4865, 529, 1366, 236770, 5886, 36112, 573, 18256, 7257, 23179, 3714, 120848, 236779, 1735, 1083, 623, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236800, 827, 623, 3250, 1083, 623, 19952, 6642, 50376, 827, 623, 7777, 1083, 623, 102711, 44751, 529, 5602, 3911, 532, 4563, 1262, 25938, 1604, 623, 4000, 236779, 3906, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236778, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236810, 236764, 623, 7633, 236779, 721, 236779, 4000, 1083, 236743, 236778, 236771, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 179826, 1083, 11058, 78277, 236770, 236778, 236800, 99471, 106, 107, 105, 4368, 107, 818, 3671, 529, 506, 756, 120848, 236779, 1735, 236789, 4321, 528, 7338, 30778, 7365, 699, 3104, 236743, 236778, 21577, 506, 2269, 36929, 236787, 108, 1018, 87962, 81396, 236779, 1735, 53121, 2165, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236770, 236929, 568, 233090, 10911, 528, 506, 15297, 236768, 108, 2094, 691, 1765, 684, 61872, 506, 2165, 120848, 236779, 1735, 236929, 2979, 699, 506, 236743, 236812, 7365, 580, 3104, 236743, 236778, 236787, 107, 2717, 107, 4119, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236770, 827, 623, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236778, 827, 623, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236770, 827, 623, 236791, 11526, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236771, 236800, 1935, 107, 2717, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6995, 496, 7946, 531, 13251, 2148, 1051, 532, 1461, 531, 11327, 1607, 9979, 236761, 3199, 611, 2583, 786, 496, 1694, 529, 9979, 528, 13251, 531, 1601, 786, 10741, 1298, 531, 3517, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53343, 1083, 11058, 85226, 4085, 827, 623, 11746, 52927, 115236, 827, 623, 228584, 8228, 827, 623, 154882, 602, 827, 623, 236806, 143204, 827, 623, 236791, 687, 56841, 827, 623, 236774, 14565, 827, 623, 236792, 236785, 236756, 236771, 236771, 236744, 236819, 236750, 2533, 827, 623, 236776, 5565, 575, 1364, 827, 623, 23243, 39037, 569, 220267, 14255, 623, 14801, 1083, 623, 85226, 827, 623, 19859, 1083, 623, 501, 25938, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 1694, 529, 9979, 528, 13251, 600, 611, 2473, 1966, 16270, 236787, 108, 236770, 236761, 5213, 85226, 4085, 1018, 1271, 669, 5279, 607, 28239, 6540, 236764, 41850, 236764, 532, 11858, 70836, 1133, 506, 1491, 236916, 161977, 532, 2474, 557, 63888, 143218, 108015, 236761, 138, 107, 236778, 236761, 5213, 11746, 52927, 115236, 1018, 1271, 64069, 573, 1061, 33849, 13217, 236764, 20080, 24914, 4252, 236764, 532, 14942, 2474, 104269, 26931, 236761, 138, 107, 236800, 236761, 5213, 228584, 8228, 1018, 1271, 562, 15039, 573, 3956, 532, 11690, 36229, 236764, 3541, 506, 35470, 118712, 13254, 236761, 138, 107, 236812, 236761, 5213, 154882, 9114, 1018, 1271, 75820, 573, 1061, 28439, 236764, 54596, 14513, 236764, 532, 45489, 117710, 236761, 138, 107, 236810, 236761, 5213, 236806, 143204, 1018, 1271, 7536, 528, 30737, 6540, 236764, 14788, 27249, 568, 5282, 6050, 779, 532, 12815, 9766, 236761, 138, 107, 236825, 236761, 5213, 236791, 687, 56841, 1018, 1271, 43902, 3207, 607, 108693, 13217, 532, 506, 22799, 180755, 569, 53324, 10041, 3432, 236761, 138, 107, 236832, 236761, 5213, 236774, 14565, 1018, 1271, 59988, 5148, 607, 12440, 118956, 45102, 532, 28597, 236772, 18865, 57046, 236761, 138, 107, 236828, 236761, 5213, 236792, 4295, 2533, 1018, 1271, 16930, 529, 220607, 236764, 9722, 33849, 28605, 532, 33417, 531, 971, 734, 3383, 1030, 120927, 236761, 138, 107, 236819, 236761, 5213, 236776, 5565, 575, 1364, 1018, 1271, 27847, 7642, 12892, 607, 19282, 96212, 532, 42383, 7584, 236761, 138, 107, 236770, 236771, 236761, 5213, 23243, 39037, 569, 220267, 1018, 1271, 2797, 2674, 236764, 15653, 236762, 5148, 607, 194163, 19244, 15729, 532, 28239, 41550, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 919, 4889, 1003, 1027, 529, 1239, 236888, 103453, 106, 107, 105, 2364, 107, 12879, 573, 506, 1694, 236888, 564, 236858, 236757, 4285, 7467, 528, 160724, 532, 5054, 39037, 569, 220267, 573, 910, 9226, 65733, 236761, 28344, 611, 2426, 768, 993, 659, 1027, 16038, 41874, 653, 41550, 528, 1724, 9979, 2148, 2297, 236881, 564, 236858, 236753, 2765, 531, 990, 1041, 3517, 607, 1070, 2263, 4749, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 100425, 236751, 1083, 78493, 5106, 236779, 1201, 1083, 623, 135673, 1162, 103493, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 6109, 1083, 623, 2740, 10787, 569, 759, 15351, 54999, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 236764, 160724, 827, 623, 96078, 1083, 11058, 18939, 6624, 236802, 6396, 827, 623, 14344, 661, 9015, 569, 2757, 162775, 569, 160724, 152254, 3714, 5106, 236779, 1201, 1083, 623, 236797, 7673, 569, 44795, 696, 862, 91367, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236778, 827, 623, 6109, 1083, 623, 5548, 15482, 67592, 15742, 118026, 236785, 236756, 236771, 236771, 236744, 236770, 827, 623, 96078, 1083, 11058, 155351, 85547, 160724, 827, 623, 141624, 1438, 14612, 236787, 24913, 555, 236785, 236756, 236771, 236771, 236744, 236770, 236749, 30350, 152254, 3714, 5106, 236779, 1201, 1083, 623, 1505, 1287, 11903, 569, 759, 2408, 122314, 203137, 236785, 236756, 236771, 236771, 236760, 236800, 47034, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 6109, 1083, 623, 40282, 74155, 153761, 25653, 536, 2275, 827, 623, 96078, 1083, 11058, 3524, 122314, 203137, 236785, 236756, 236771, 236771, 236760, 236800, 47034, 569, 160724, 827, 623, 41447, 236787, 2481, 236785, 236756, 236771, 236771, 12064, 639, 236785, 236756, 236771, 236771, 236760, 236800, 17487, 1935, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 100425, 236751, 1083, 78493, 1201, 1083, 623, 135673, 32462, 569, 5054, 39037, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 2740, 10787, 34925, 236764, 5054, 39037, 569, 220267, 827, 623, 7777, 1083, 623, 236776, 28239, 19138, 529, 2263, 4252, 236764, 12847, 236764, 532, 1610, 18482, 6672, 26135, 19575, 532, 16236, 19549, 12316, 221476, 3714, 1201, 1083, 623, 155351, 696, 759, 109619, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236778, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 223815, 58880, 236764, 5054, 39037, 569, 220267, 827, 623, 7777, 1083, 623, 112543, 32286, 14603, 3605, 58442, 10969, 532, 5251, 32286, 11421, 528, 614, 32163, 7363, 6514, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 12323, 529, 16038, 4749, 528, 160724, 532, 5054, 39037, 569, 220267, 573, 5142, 236787, 108, 10354, 5213, 236806, 143204, 1018, 568, 236778, 236771, 236778, 236812, 77151, 236768, 107, 236770, 236761, 5213, 135673, 1162, 103493, 1018, 138, 107, 139, 249460, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 139, 244343, 38578, 569, 759, 131231, 138, 107, 139, 245147, 58887, 236787, 808, 18939, 6624, 236802, 6396, 30237, 808, 14344, 661, 9015, 569, 2757, 162775, 569, 160724, 236829, 138, 108, 236778, 236761, 5213, 236797, 7673, 569, 44795, 696, 862, 91367, 1018, 138, 107, 139, 249460, 5142, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 139, 244343, 91367, 67592, 15742, 118026, 236898, 138, 107, 139, 245147, 58887, 236787, 808, 155351, 85547, 160724, 30237, 24913, 72159, 568, 18146, 15083, 236768, 138, 108, 236800, 236761, 5213, 1505, 1287, 11903, 569, 759, 2408, 122314, 203137, 49640, 1018, 138, 107, 139, 249460, 5142, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 139, 244343, 56699, 897, 153761, 25653, 536, 2275, 138, 107, 139, 245147, 58887, 236787, 808, 3524, 122314, 203137, 49640, 569, 160724, 236829, 138, 108, 7243, 108, 10354, 5213, 23243, 39037, 569, 220267, 1018, 568, 236778, 236771, 236778, 236810, 77151, 236768, 107, 236770, 236761, 5213, 135673, 32462, 569, 5054, 39037, 1018, 138, 107, 139, 249460, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 139, 244343, 38578, 34925, 138, 107, 139, 249572, 43899, 26135, 19575, 900, 16236, 19549, 236761, 138, 108, 236778, 236761, 5213, 155351, 696, 759, 109619, 1018, 138, 107, 139, 249460, 5142, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 139, 244343, 109619, 58880, 138, 107, 139, 251075, 46586, 32286, 3605, 607, 10969, 236786, 65739, 11421, 236761, 138, 108, 7243, 108, 249460, 5213, 10282, 66515, 669, 160724, 4749, 659, 9456, 573, 236743, 236778, 236771, 236778, 236812, 236764, 1651, 5054, 39037, 236858, 236751, 659, 573, 236743, 236778, 236771, 236778, 236810, 236761, 1637, 822, 7946, 563, 2148, 1051, 236764, 3972, 236772, 4256, 14069, 12532, 531, 822, 4301, 2846, 573, 10634, 236761, 10508, 9979, 2729, 28239, 9226, 9871, 237028, 1184, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 68657, 822, 76717, 236888, 103453, 106, 107, 105, 2364, 107, 12879, 573, 506, 2460, 4889, 236888, 564, 14275, 5054, 39037, 236789, 236751, 14680, 563, 9456, 573, 236743, 236778, 236771, 236778, 236810, 237028, 46052, 611, 3972, 236772, 4256, 768, 993, 659, 1027, 236743, 236778, 236771, 236778, 236812, 14069, 2487, 573, 600, 3207, 236881, 6542, 236764, 768, 564, 10741, 531, 3517, 160724, 236764, 1451, 611, 1601, 786, 1586, 4889, 1003, 506, 112472, 236743, 236778, 236771, 569, 8934, 29490, 2436, 993, 236881, 564, 236858, 236753, 2765, 531, 11327, 2263, 16746, 573, 6672, 34294, 532, 13153, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 100425, 236751, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 1201, 1083, 623, 23243, 39037, 44795, 15467, 827, 623, 6109, 1083, 623, 2740, 10787, 34925, 827, 623, 31040, 1083, 623, 18939, 39683, 3203, 9510, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236771, 236778, 827, 623, 1201, 1083, 623, 30392, 696, 862, 79942, 827, 623, 6109, 1083, 623, 3128, 1249, 154398, 16527, 236785, 236756, 236771, 236771, 236744, 236770, 12486, 827, 623, 31040, 1083, 623, 4967, 133514, 2876, 236785, 236756, 236771, 236771, 236744, 236770, 540, 1614, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236770, 236771, 827, 623, 1201, 1083, 623, 7851, 2616, 55531, 827, 623, 6109, 1083, 623, 5548, 15482, 621, 236756, 236771, 236771, 236755, 236770, 829, 4634, 226271, 827, 623, 31040, 1083, 623, 9521, 236748, 569, 5054, 39037, 25938, 1604, 623, 14210, 1083, 623, 3771, 236743, 236778, 236771, 236778, 236812, 14069, 1765, 573, 506, 236743, 236778, 236771, 236778, 236810, 14680, 6950, 236761, 669, 2787, 41874, 659, 61861, 236743, 236778, 236771, 236778, 236812, 4749, 528, 5054, 39037, 569, 220267, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 6457, 236779, 1201, 1083, 623, 91899, 1438, 236743, 236778, 236771, 569, 8934, 29490, 827, 623, 7125, 236779, 547, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236764, 623, 7720, 1083, 623, 7670, 236761, 99309, 4666, 236743, 236770, 236771, 236770, 236764, 160724, 236764, 708, 26428, 827, 623, 24392, 1083, 3714, 49381, 236772, 46325, 1083, 623, 236828, 236787, 236771, 236771, 8151, 753, 236743, 236828, 236787, 236771, 236771, 8711, 827, 623, 48049, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236778, 236787, 236771, 236771, 8711, 23179, 623, 15897, 1083, 11058, 63190, 34294, 827, 623, 13149, 13153, 827, 623, 25174, 69708, 14255, 623, 23184, 1083, 623, 69694, 2436, 573, 10969, 89857, 532, 141474, 3211, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 10448, 1938, 573, 822, 7946, 6995, 236787, 108, 7243, 108, 10354, 5213, 23243, 39037, 569, 220267, 236787, 236743, 236778, 236771, 236778, 236812, 58918, 236751, 1018, 138, 107, 818, 3530, 236743, 236778, 236771, 236778, 236810, 14680, 5889, 236858, 236745, 9456, 3819, 236764, 840, 1590, 659, 5213, 236778, 236771, 236778, 236812, 61861, 4749, 66515, 138, 107, 236770, 236761, 5213, 23243, 39037, 44795, 15467, 1018, 138, 107, 139, 249460, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 1109, 236743, 244343, 38578, 34925, 1109, 236743, 245147, 808, 18939, 39683, 3203, 9510, 236829, 138, 107, 236778, 236761, 5213, 30392, 696, 862, 79942, 1018, 138, 107, 139, 249460, 6243, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 1109, 236743, 244343, 79942, 154398, 186453, 1109, 236743, 248290, 808, 4967, 133514, 2876, 108441, 236829, 138, 107, 236800, 236761, 5213, 7851, 2616, 55531, 1018, 138, 107, 139, 249460, 6384, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 1109, 236743, 244343, 91367, 73990, 4634, 226271, 1109, 236743, 243336, 808, 9521, 236748, 569, 5054, 39037, 236829, 138, 108, 7243, 108, 10354, 5213, 236806, 143204, 236787, 112472, 236743, 236778, 236771, 569, 8934, 29490, 1018, 138, 107, 236776, 1921, 236772, 37620, 573, 2263, 6540, 236888, 138, 107, 236772, 5213, 9604, 66515, 7540, 236761, 99309, 4666, 236743, 236770, 236771, 236770, 236764, 160724, 138, 107, 236772, 5213, 35835, 66515, 138, 107, 138, 236772, 8492, 236964, 46325, 236787, 236743, 236828, 236787, 236771, 236771, 8151, 1271, 236743, 236828, 236787, 236771, 236771, 8711, 138, 107, 138, 236772, 8174, 236787, 236743, 236819, 236787, 236771, 236771, 8151, 1271, 236743, 236778, 236787, 236771, 236771, 8711, 138, 107, 236772, 5213, 126115, 66515, 138, 107, 138, 236772, 5213, 63190, 34294, 66515, 125222, 57005, 236764, 58318, 236764, 532, 10682, 236763, 11382, 507, 568, 67328, 7116, 163977, 769, 138, 107, 138, 236772, 5213, 13149, 13153, 66515, 28776, 35226, 236764, 708, 1124, 40249, 14403, 236764, 532, 28689, 1653, 236761, 138, 107, 138, 236772, 5213, 25174, 69708, 66515, 15325, 494, 7800, 93984, 236764, 6050, 236764, 532, 15542, 575, 1472, 568, 41697, 205655, 769, 138, 108, 7243, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 14227, 11221, 236764, 54472, 236764, 653, 919, 15136, 573, 3477, 3207, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6995, 496, 7946, 531, 13251, 2148, 1051, 532, 1461, 531, 11327, 1607, 9979, 236761, 3199, 611, 2583, 786, 496, 1694, 529, 9979, 528, 13251, 531, 1601, 786, 10741, 1298, 531, 3517, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 53343, 1083, 11058, 85226, 4085, 827, 623, 11746, 52927, 115236, 827, 623, 228584, 8228, 827, 623, 154882, 602, 827, 623, 236806, 143204, 827, 623, 236791, 687, 56841, 827, 623, 236774, 14565, 827, 623, 236792, 236785, 236756, 236771, 236771, 236744, 236819, 236750, 2533, 827, 623, 236776, 5565, 575, 1364, 827, 623, 23243, 39037, 569, 220267, 14255, 623, 14801, 1083, 623, 85226, 827, 623, 19859, 1083, 623, 501, 25938, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 1694, 529, 9979, 528, 13251, 600, 611, 2473, 1966, 16270, 236787, 108, 236770, 236761, 5213, 85226, 4085, 1018, 1271, 669, 5279, 607, 28239, 6540, 236764, 41850, 236764, 532, 11858, 70836, 1133, 506, 1491, 236916, 161977, 532, 2474, 557, 63888, 143218, 108015, 236761, 138, 107, 236778, 236761, 5213, 11746, 52927, 115236, 1018, 1271, 64069, 573, 1061, 33849, 13217, 236764, 20080, 24914, 4252, 236764, 532, 14942, 2474, 104269, 26931, 236761, 138, 107, 236800, 236761, 5213, 228584, 8228, 1018, 1271, 562, 15039, 573, 3956, 532, 11690, 36229, 236764, 3541, 506, 35470, 118712, 13254, 236761, 138, 107, 236812, 236761, 5213, 154882, 9114, 1018, 1271, 75820, 573, 1061, 28439, 236764, 54596, 14513, 236764, 532, 45489, 117710, 236761, 138, 107, 236810, 236761, 5213, 236806, 143204, 1018, 1271, 7536, 528, 30737, 6540, 236764, 14788, 27249, 568, 5282, 6050, 779, 532, 12815, 9766, 236761, 138, 107, 236825, 236761, 5213, 236791, 687, 56841, 1018, 1271, 43902, 3207, 607, 108693, 13217, 532, 506, 22799, 180755, 569, 53324, 10041, 3432, 236761, 138, 107, 236832, 236761, 5213, 236774, 14565, 1018, 1271, 59988, 5148, 607, 12440, 118956, 45102, 532, 28597, 236772, 18865, 57046, 236761, 138, 107, 236828, 236761, 5213, 236792, 4295, 2533, 1018, 1271, 16930, 529, 220607, 236764, 9722, 33849, 28605, 532, 33417, 531, 971, 734, 3383, 1030, 120927, 236761, 138, 107, 236819, 236761, 5213, 236776, 5565, 575, 1364, 1018, 1271, 27847, 7642, 12892, 607, 19282, 96212, 532, 42383, 7584, 236761, 138, 107, 236770, 236771, 236761, 5213, 23243, 39037, 569, 220267, 1018, 1271, 2797, 2674, 236764, 15653, 236762, 5148, 607, 194163, 19244, 15729, 532, 28239, 41550, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 919, 4889, 1003, 1027, 529, 1239, 236888, 103453, 106, 107, 105, 2364, 107, 12879, 573, 506, 1694, 236888, 564, 236858, 236757, 4285, 7467, 528, 160724, 532, 5054, 39037, 569, 220267, 573, 910, 9226, 65733, 236761, 28344, 611, 2426, 768, 993, 659, 1027, 16038, 41874, 653, 41550, 528, 1724, 9979, 2148, 2297, 236881, 564, 236858, 236753, 2765, 531, 990, 1041, 3517, 607, 1070, 2263, 4749, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 100425, 236751, 1083, 78493, 5106, 236779, 1201, 1083, 623, 135673, 1162, 103493, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 6109, 1083, 623, 2740, 10787, 569, 759, 15351, 54999, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 236764, 160724, 827, 623, 96078, 1083, 11058, 18939, 6624, 236802, 6396, 827, 623, 14344, 661, 9015, 569, 2757, 162775, 569, 160724, 152254, 3714, 5106, 236779, 1201, 1083, 623, 236797, 7673, 569, 44795, 696, 862, 91367, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236778, 827, 623, 6109, 1083, 623, 5548, 15482, 67592, 15742, 118026, 236785, 236756, 236771, 236771, 236744, 236770, 827, 623, 96078, 1083, 11058, 155351, 85547, 160724, 827, 623, 141624, 1438, 14612, 236787, 24913, 555, 236785, 236756, 236771, 236771, 236744, 236770, 236749, 30350, 152254, 3714, 5106, 236779, 1201, 1083, 623, 1505, 1287, 11903, 569, 759, 2408, 122314, 203137, 236785, 236756, 236771, 236771, 236760, 236800, 47034, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236828, 827, 623, 6109, 1083, 623, 40282, 74155, 153761, 25653, 536, 2275, 827, 623, 96078, 1083, 11058, 3524, 122314, 203137, 236785, 236756, 236771, 236771, 236760, 236800, 47034, 569, 160724, 827, 623, 41447, 236787, 2481, 236785, 236756, 236771, 236771, 12064, 639, 236785, 236756, 236771, 236771, 236760, 236800, 17487, 1935, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 100425, 236751, 1083, 78493, 1201, 1083, 623, 135673, 32462, 569, 5054, 39037, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 2740, 10787, 34925, 236764, 5054, 39037, 569, 220267, 827, 623, 7777, 1083, 623, 236776, 28239, 19138, 529, 2263, 4252, 236764, 12847, 236764, 532, 1610, 18482, 6672, 26135, 19575, 532, 16236, 19549, 12316, 221476, 3714, 1201, 1083, 623, 155351, 696, 759, 109619, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236778, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 7125, 1083, 623, 223815, 58880, 236764, 5054, 39037, 569, 220267, 827, 623, 7777, 1083, 623, 112543, 32286, 14603, 3605, 58442, 10969, 532, 5251, 32286, 11421, 528, 614, 32163, 7363, 6514, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 12323, 529, 16038, 4749, 528, 160724, 532, 5054, 39037, 569, 220267, 573, 5142, 236787, 108, 10354, 5213, 236806, 143204, 1018, 568, 236778, 236771, 236778, 236812, 77151, 236768, 107, 236770, 236761, 5213, 135673, 1162, 103493, 1018, 138, 107, 139, 249460, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 139, 244343, 38578, 569, 759, 131231, 138, 107, 139, 245147, 58887, 236787, 808, 18939, 6624, 236802, 6396, 30237, 808, 14344, 661, 9015, 569, 2757, 162775, 569, 160724, 236829, 138, 108, 236778, 236761, 5213, 236797, 7673, 569, 44795, 696, 862, 91367, 1018, 138, 107, 139, 249460, 5142, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 139, 244343, 91367, 67592, 15742, 118026, 236898, 138, 107, 139, 245147, 58887, 236787, 808, 155351, 85547, 160724, 30237, 24913, 72159, 568, 18146, 15083, 236768, 138, 108, 236800, 236761, 5213, 1505, 1287, 11903, 569, 759, 2408, 122314, 203137, 49640, 1018, 138, 107, 139, 249460, 5142, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 139, 244343, 56699, 897, 153761, 25653, 536, 2275, 138, 107, 139, 245147, 58887, 236787, 808, 3524, 122314, 203137, 49640, 569, 160724, 236829, 138, 108, 7243, 108, 10354, 5213, 23243, 39037, 569, 220267, 1018, 568, 236778, 236771, 236778, 236810, 77151, 236768, 107, 236770, 236761, 5213, 135673, 32462, 569, 5054, 39037, 1018, 138, 107, 139, 249460, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 139, 244343, 38578, 34925, 138, 107, 139, 249572, 43899, 26135, 19575, 900, 16236, 19549, 236761, 138, 108, 236778, 236761, 5213, 155351, 696, 759, 109619, 1018, 138, 107, 139, 249460, 5142, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 139, 244343, 109619, 58880, 138, 107, 139, 251075, 46586, 32286, 3605, 607, 10969, 236786, 65739, 11421, 236761, 138, 108, 7243, 108, 249460, 5213, 10282, 66515, 669, 160724, 4749, 659, 9456, 573, 236743, 236778, 236771, 236778, 236812, 236764, 1651, 5054, 39037, 236858, 236751, 659, 573, 236743, 236778, 236771, 236778, 236810, 236761, 1637, 822, 7946, 563, 2148, 1051, 236764, 3972, 236772, 4256, 14069, 12532, 531, 822, 4301, 2846, 573, 10634, 236761, 10508, 9979, 2729, 28239, 9226, 9871, 237028, 1184, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 68657, 822, 76717, 236888, 103453, 106, 107, 105, 2364, 107, 12879, 573, 506, 2460, 4889, 236888, 564, 14275, 5054, 39037, 236789, 236751, 14680, 563, 9456, 573, 236743, 236778, 236771, 236778, 236810, 237028, 46052, 611, 3972, 236772, 4256, 768, 993, 659, 1027, 236743, 236778, 236771, 236778, 236812, 14069, 2487, 573, 600, 3207, 236881, 6542, 236764, 768, 564, 10741, 531, 3517, 160724, 236764, 1451, 611, 1601, 786, 1586, 4889, 1003, 506, 112472, 236743, 236778, 236771, 569, 8934, 29490, 2436, 993, 236881, 564, 236858, 236753, 2765, 531, 11327, 2263, 16746, 573, 6672, 34294, 532, 13153, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 100425, 236751, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 1201, 1083, 623, 23243, 39037, 44795, 15467, 827, 623, 6109, 1083, 623, 2740, 10787, 34925, 827, 623, 31040, 1083, 623, 18939, 39683, 3203, 9510, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236771, 236778, 827, 623, 1201, 1083, 623, 30392, 696, 862, 79942, 827, 623, 6109, 1083, 623, 3128, 1249, 154398, 16527, 236785, 236756, 236771, 236771, 236744, 236770, 12486, 827, 623, 31040, 1083, 623, 4967, 133514, 2876, 236785, 236756, 236771, 236771, 236744, 236770, 540, 1614, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236770, 236771, 827, 623, 1201, 1083, 623, 7851, 2616, 55531, 827, 623, 6109, 1083, 623, 5548, 15482, 621, 236756, 236771, 236771, 236755, 236770, 829, 4634, 226271, 827, 623, 31040, 1083, 623, 9521, 236748, 569, 5054, 39037, 25938, 1604, 623, 14210, 1083, 623, 3771, 236743, 236778, 236771, 236778, 236812, 14069, 1765, 573, 506, 236743, 236778, 236771, 236778, 236810, 14680, 6950, 236761, 669, 2787, 41874, 659, 61861, 236743, 236778, 236771, 236778, 236812, 4749, 528, 5054, 39037, 569, 220267, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 6457, 236779, 1201, 1083, 623, 91899, 1438, 236743, 236778, 236771, 569, 8934, 29490, 827, 623, 7125, 236779, 547, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236764, 623, 7720, 1083, 623, 7670, 236761, 99309, 4666, 236743, 236770, 236771, 236770, 236764, 160724, 236764, 708, 26428, 827, 623, 24392, 1083, 3714, 49381, 236772, 46325, 1083, 623, 236828, 236787, 236771, 236771, 8151, 753, 236743, 236828, 236787, 236771, 236771, 8711, 827, 623, 48049, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236778, 236787, 236771, 236771, 8711, 23179, 623, 15897, 1083, 11058, 63190, 34294, 827, 623, 13149, 13153, 827, 623, 25174, 69708, 14255, 623, 23184, 1083, 623, 69694, 2436, 573, 10969, 89857, 532, 141474, 3211, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 10448, 1938, 573, 822, 7946, 6995, 236787, 108, 7243, 108, 10354, 5213, 23243, 39037, 569, 220267, 236787, 236743, 236778, 236771, 236778, 236812, 58918, 236751, 1018, 138, 107, 818, 3530, 236743, 236778, 236771, 236778, 236810, 14680, 5889, 236858, 236745, 9456, 3819, 236764, 840, 1590, 659, 5213, 236778, 236771, 236778, 236812, 61861, 4749, 66515, 138, 107, 236770, 236761, 5213, 23243, 39037, 44795, 15467, 1018, 138, 107, 139, 249460, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 1109, 236743, 244343, 38578, 34925, 1109, 236743, 245147, 808, 18939, 39683, 3203, 9510, 236829, 138, 107, 236778, 236761, 5213, 30392, 696, 862, 79942, 1018, 138, 107, 139, 249460, 6243, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 1109, 236743, 244343, 79942, 154398, 186453, 1109, 236743, 248290, 808, 4967, 133514, 2876, 108441, 236829, 138, 107, 236800, 236761, 5213, 7851, 2616, 55531, 1018, 138, 107, 139, 249460, 6384, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 1109, 236743, 244343, 91367, 73990, 4634, 226271, 1109, 236743, 243336, 808, 9521, 236748, 569, 5054, 39037, 236829, 138, 108, 7243, 108, 10354, 5213, 236806, 143204, 236787, 112472, 236743, 236778, 236771, 569, 8934, 29490, 1018, 138, 107, 236776, 1921, 236772, 37620, 573, 2263, 6540, 236888, 138, 107, 236772, 5213, 9604, 66515, 7540, 236761, 99309, 4666, 236743, 236770, 236771, 236770, 236764, 160724, 138, 107, 236772, 5213, 35835, 66515, 138, 107, 138, 236772, 8492, 236964, 46325, 236787, 236743, 236828, 236787, 236771, 236771, 8151, 1271, 236743, 236828, 236787, 236771, 236771, 8711, 138, 107, 138, 236772, 8174, 236787, 236743, 236819, 236787, 236771, 236771, 8151, 1271, 236743, 236778, 236787, 236771, 236771, 8711, 138, 107, 236772, 5213, 126115, 66515, 138, 107, 138, 236772, 5213, 63190, 34294, 66515, 125222, 57005, 236764, 58318, 236764, 532, 10682, 236763, 11382, 507, 568, 67328, 7116, 163977, 769, 138, 107, 138, 236772, 5213, 13149, 13153, 66515, 28776, 35226, 236764, 708, 1124, 40249, 14403, 236764, 532, 28689, 1653, 236761, 138, 107, 138, 236772, 5213, 25174, 69708, 66515, 15325, 494, 7800, 93984, 236764, 6050, 236764, 532, 15542, 575, 1472, 568, 41697, 205655, 769, 138, 108, 7243, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 14227, 11221, 236764, 54472, 236764, 653, 919, 15136, 573, 3477, 3207, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6995, 496, 7946, 531, 13531, 2148, 2069, 532, 1202, 531, 2426, 10224, 97200, 699, 19627, 531, 27071, 653, 62056, 52132, 573, 5857, 236743, 236770, 236825, 594, 236761, 3199, 611, 1601, 786, 1586, 1724, 22344, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 120177, 1083, 78493, 30861, 236779, 5640, 1083, 623, 7692, 236812, 236800, 236770, 236778, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 236774, 236771, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236862, 236771, 236778, 236787, 236771, 236771, 827, 623, 34598, 1083, 623, 177515, 568, 236796, 10669, 22730, 623, 39175, 1083, 623, 236774, 236812, 827, 623, 4818, 1083, 623, 2791, 7578, 23179, 3714, 30861, 236779, 5640, 1083, 623, 112204, 236825, 236810, 236832, 236828, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 236774, 236770, 236770, 236787, 236778, 236771, 236787, 236771, 236771, 236862, 236771, 236778, 236787, 236771, 236771, 827, 623, 34598, 1083, 623, 177515, 568, 236796, 10669, 22730, 623, 39175, 1083, 623, 236774, 236770, 827, 623, 4818, 1083, 623, 167772, 23179, 3714, 30861, 236779, 5640, 1083, 623, 5790, 236770, 236771, 236800, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 236774, 236770, 236812, 236787, 236771, 236810, 236787, 236771, 236771, 236862, 236771, 236778, 236787, 236771, 236771, 827, 623, 34598, 1083, 623, 177515, 568, 236796, 10669, 22730, 623, 39175, 1083, 623, 236774, 236812, 827, 623, 4818, 1083, 623, 2791, 7578, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 28881, 236779, 103411, 1083, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 827, 623, 34598, 1083, 623, 177515, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 120177, 1083, 78493, 30861, 236779, 5640, 1083, 623, 7692, 236778, 236800, 236812, 236810, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236862, 236771, 236778, 236787, 236771, 236771, 827, 623, 34598, 1083, 623, 175454, 827, 623, 39175, 1083, 623, 236812, 827, 623, 4818, 1083, 623, 2791, 7578, 23179, 3714, 30861, 236779, 5640, 1083, 623, 73344, 236825, 236832, 236828, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 236774, 236770, 236812, 236787, 236770, 236810, 236787, 236771, 236771, 236862, 236771, 236778, 236787, 236771, 236771, 827, 623, 34598, 1083, 623, 175454, 827, 623, 39175, 1083, 623, 236770, 827, 623, 4818, 1083, 623, 167772, 25938, 1604, 623, 2763, 37755, 1083, 623, 16904, 22344, 531, 62056, 568, 236773, 13200, 236768, 659, 3505, 236761, 1701, 27071, 568, 236796, 10669, 236768, 97200, 236764, 5091, 1386, 496, 7732, 7609, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 2487, 22344, 699, 19627, 568, 102892, 236768, 531, 13531, 580, 5857, 236743, 236770, 236825, 594, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 108, 1018, 2021, 27071, 568, 236796, 10669, 1473, 1018, 107, 236770, 236761, 5213, 7692, 236812, 236800, 236770, 236778, 1018, 753, 236743, 236771, 236828, 236787, 236812, 236810, 8151, 568, 67960, 558, 236812, 236768, 753, 113452, 2154, 7578, 138, 107, 236778, 236761, 5213, 112204, 236825, 236810, 236832, 236828, 1018, 753, 236743, 236770, 236770, 236787, 236778, 236771, 8151, 568, 67960, 558, 236770, 236768, 753, 236743, 195096, 216470, 138, 107, 236800, 236761, 5213, 5790, 236770, 236771, 236800, 1018, 753, 236743, 236771, 236778, 236787, 236771, 236810, 8711, 568, 67960, 558, 236812, 236768, 753, 113452, 2154, 7578, 138, 108, 1018, 2021, 62056, 568, 236773, 13200, 1473, 1018, 107, 236770, 236761, 5213, 7692, 236778, 236800, 236812, 236810, 1018, 753, 236743, 236771, 236819, 236787, 236800, 236771, 8151, 568, 67960, 236743, 236812, 236768, 753, 113452, 2154, 7578, 138, 107, 236778, 236761, 5213, 73344, 236825, 236832, 236828, 1018, 753, 236743, 236771, 236778, 236787, 236770, 236810, 8711, 568, 67960, 236743, 236770, 236768, 753, 236743, 195096, 216470, 138, 108, 38786, 611, 1133, 919, 4889, 1003, 1027, 3530, 10224, 653, 10686, 607, 22479, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 27197, 8283, 236761, 4224, 564, 1202, 531, 2426, 994, 22344, 699, 27071, 653, 62056, 531, 19627, 573, 5857, 236743, 236778, 236800, 7221, 236761, 3199, 611, 1161, 506, 73046, 5904, 531, 1586, 22344, 21838, 657, 19627, 4244, 32710, 580, 600, 3433, 236881, 564, 1461, 531, 1386, 2889, 993, 236789, 236751, 496, 1535, 5603, 1063, 2033, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 86614, 1083, 78493, 30861, 236779, 5640, 1083, 623, 7692, 236800, 236778, 236828, 236812, 827, 623, 144376, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236800, 236774, 236770, 236812, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 827, 623, 20055, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236800, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 39175, 1083, 623, 236774, 236812, 827, 623, 4818, 1083, 623, 2791, 7578, 827, 623, 177037, 1083, 623, 236777, 793, 722, 23179, 3714, 30861, 236779, 5640, 1083, 623, 11869, 236828, 236770, 236819, 236778, 827, 623, 144376, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236800, 236774, 236770, 236810, 236787, 236810, 236810, 236787, 236771, 236771, 236953, 827, 623, 20055, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236800, 236774, 236770, 236825, 236787, 236771, 236828, 236787, 236771, 236771, 236953, 827, 623, 39175, 1083, 623, 236774, 236770, 827, 623, 4818, 1083, 623, 167772, 827, 623, 177037, 1083, 623, 72420, 1404, 23179, 3714, 30861, 236779, 5640, 1083, 623, 112204, 236770, 236825, 236778, 236770, 827, 623, 144376, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236800, 236774, 236770, 236832, 236787, 236770, 236771, 236787, 236771, 236771, 236953, 827, 623, 20055, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236800, 236774, 236770, 236832, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 827, 623, 39175, 1083, 623, 236774, 236778, 827, 623, 4818, 1083, 623, 39403, 827, 623, 177037, 1083, 623, 236847, 110862, 25938, 1604, 623, 1896, 236779, 7212, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236800, 827, 623, 140323, 1083, 623, 133732, 4244, 32710, 568, 102892, 16291, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 16257, 22344, 21838, 657, 19627, 4244, 32710, 568, 102892, 236768, 580, 5857, 236743, 236778, 236800, 7221, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 699, 506, 5904, 236789, 236751, 3072, 236787, 108, 236770, 236761, 5213, 7692, 236800, 236778, 236828, 236812, 1018, 568, 236777, 793, 722, 236768, 753, 1572, 34958, 236743, 236778, 236787, 236778, 236778, 8711, 568, 67960, 558, 236812, 236768, 753, 113452, 2154, 7578, 138, 107, 236778, 236761, 5213, 11869, 236828, 236770, 236819, 236778, 1018, 568, 72420, 1404, 236768, 753, 1572, 34958, 236743, 236812, 236787, 236771, 236828, 8711, 568, 67960, 558, 236770, 236768, 753, 236743, 195096, 216470, 138, 107, 236800, 236761, 5213, 112204, 236770, 236825, 236778, 236770, 1018, 568, 236847, 110862, 236768, 753, 1572, 34958, 236743, 236810, 236787, 236771, 236810, 8711, 568, 67960, 558, 236778, 236768, 753, 236743, 252074, 21107, 138, 108, 1018, 10282, 53121, 669, 5904, 3072, 1677, 711, 25010, 20193, 506, 9059, 52132, 568, 177515, 236786, 236773, 13200, 236768, 573, 1239, 22344, 236761, 2282, 9128, 768, 1239, 22344, 659, 699, 13531, 236764, 611, 236858, 236753, 1202, 531, 4071, 236772, 4256, 10224, 4945, 607, 32579, 9116, 1262, 236761, 1701, 2591, 236787, 138, 107, 236772, 5213, 7692, 236800, 236778, 236828, 236812, 1018, 568, 236777, 793, 722, 236768, 3187, 22747, 27071, 236772, 133732, 236761, 138, 107, 236772, 5213, 11869, 236828, 236770, 236819, 236778, 1018, 568, 72420, 1404, 236768, 34386, 699, 1800, 27071, 532, 62056, 236761, 138, 107, 236772, 5213, 112204, 236770, 236825, 236778, 236770, 1018, 568, 236847, 110862, 236768, 11082, 14736, 27071, 236772, 133732, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 2426, 3530, 10224, 4945, 573, 4889, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 16257, 4889, 236761, 3792, 786, 9128, 506, 38320, 529, 1239, 22344, 236761, 28344, 611, 2426, 506, 10224, 4945, 42143, 236800, 236778, 236828, 236812, 236764, 18309, 236828, 236770, 236819, 236778, 236764, 532, 220191, 236770, 236825, 236778, 236770, 10916, 531, 16807, 768, 901, 236858, 500, 14812, 699, 27071, 568, 236796, 10669, 236768, 653, 62056, 568, 236773, 13200, 236768, 580, 5857, 236743, 236778, 236800, 7221, 236881, 1637, 1027, 529, 1091, 79529, 18475, 236764, 564, 236858, 859, 1202, 9302, 3835, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 6436, 653, 34438, 600, 740, 16807, 506, 5213, 20205, 52132, 1018, 529, 3530, 10224, 4945, 568, 5282, 42143, 236800, 236778, 236828, 236812, 236764, 18309, 236828, 236770, 236819, 236778, 236764, 653, 220191, 236770, 236825, 236778, 236770, 236768, 573, 496, 2238, 3433, 236761, 669, 2487, 6436, 1186, 2847, 16257, 236786, 113130, 4889, 573, 19627, 4244, 32710, 17526, 568, 102892, 236768, 840, 776, 711, 3204, 9116, 653, 9059, 1938, 573, 22344, 236761, 236743, 108, 10354, 91330, 236787, 107, 236770, 236761, 5213, 6845, 32579, 17909, 66515, 1701, 2591, 236787, 107, 139, 236772, 91704, 722, 568, 7692, 236800, 236778, 236828, 236812, 1473, 26922, 870, 6197, 722, 236761, 854, 5457, 2574, 1411, 2769, 236761, 6197, 722, 236761, 854, 236768, 531, 9128, 506, 10224, 236789, 236751, 9116, 236761, 107, 139, 236772, 221660, 568, 11869, 236828, 236770, 236819, 236778, 1473, 7179, 870, 220566, 1404, 236761, 854, 5457, 2574, 1411, 2769, 236761, 220566, 1404, 236761, 854, 769, 107, 139, 236772, 782, 110862, 568, 112204, 236770, 236825, 236778, 236770, 1473, 26922, 870, 236766, 110862, 236761, 854, 5457, 2574, 1411, 2769, 236761, 236766, 110862, 236761, 854, 769, 108, 236778, 236761, 5213, 93993, 3835, 66515, 1637, 1239, 22344, 1537, 236858, 236745, 79529, 699, 13531, 236764, 611, 1451, 236787, 107, 139, 236772, 6890, 506, 5213, 65758, 1264, 5904, 1018, 573, 19627, 531, 3927, 573, 129794, 22344, 531, 622, 10669, 236786, 236773, 13200, 568, 5503, 611, 3016, 1602, 672, 6517, 769, 107, 139, 236772, 11696, 573, 22344, 75389, 699, 27071, 653, 62056, 531, 19627, 1699, 496, 4185, 10224, 3927, 5058, 1133, 5213, 19540, 115058, 125546, 5213, 14841, 210188, 125546, 653, 5213, 61055, 10718, 236761, 854, 84750, 108, 38786, 611, 1133, 1601, 68632, 496, 3927, 7609, 573, 8398, 14175, 653, 16329, 1032, 14069, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6995, 496, 7946, 531, 13531, 2148, 2069, 532, 1202, 531, 2426, 10224, 97200, 699, 19627, 531, 27071, 653, 62056, 52132, 573, 5857, 236743, 236770, 236825, 594, 236761, 3199, 611, 1601, 786, 1586, 1724, 22344, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 120177, 1083, 78493, 30861, 236779, 5640, 1083, 623, 7692, 236812, 236800, 236770, 236778, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 236774, 236771, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236862, 236771, 236778, 236787, 236771, 236771, 827, 623, 34598, 1083, 623, 177515, 568, 236796, 10669, 22730, 623, 39175, 1083, 623, 236774, 236812, 827, 623, 4818, 1083, 623, 2791, 7578, 23179, 3714, 30861, 236779, 5640, 1083, 623, 112204, 236825, 236810, 236832, 236828, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 236774, 236770, 236770, 236787, 236778, 236771, 236787, 236771, 236771, 236862, 236771, 236778, 236787, 236771, 236771, 827, 623, 34598, 1083, 623, 177515, 568, 236796, 10669, 22730, 623, 39175, 1083, 623, 236774, 236770, 827, 623, 4818, 1083, 623, 167772, 23179, 3714, 30861, 236779, 5640, 1083, 623, 5790, 236770, 236771, 236800, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 236774, 236770, 236812, 236787, 236771, 236810, 236787, 236771, 236771, 236862, 236771, 236778, 236787, 236771, 236771, 827, 623, 34598, 1083, 623, 177515, 568, 236796, 10669, 22730, 623, 39175, 1083, 623, 236774, 236812, 827, 623, 4818, 1083, 623, 2791, 7578, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 28881, 236779, 103411, 1083, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 827, 623, 34598, 1083, 623, 177515, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 120177, 1083, 78493, 30861, 236779, 5640, 1083, 623, 7692, 236778, 236800, 236812, 236810, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236862, 236771, 236778, 236787, 236771, 236771, 827, 623, 34598, 1083, 623, 175454, 827, 623, 39175, 1083, 623, 236812, 827, 623, 4818, 1083, 623, 2791, 7578, 23179, 3714, 30861, 236779, 5640, 1083, 623, 73344, 236825, 236832, 236828, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 236774, 236770, 236812, 236787, 236770, 236810, 236787, 236771, 236771, 236862, 236771, 236778, 236787, 236771, 236771, 827, 623, 34598, 1083, 623, 175454, 827, 623, 39175, 1083, 623, 236770, 827, 623, 4818, 1083, 623, 167772, 25938, 1604, 623, 2763, 37755, 1083, 623, 16904, 22344, 531, 62056, 568, 236773, 13200, 236768, 659, 3505, 236761, 1701, 27071, 568, 236796, 10669, 236768, 97200, 236764, 5091, 1386, 496, 7732, 7609, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 2487, 22344, 699, 19627, 568, 102892, 236768, 531, 13531, 580, 5857, 236743, 236770, 236825, 594, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 108, 1018, 2021, 27071, 568, 236796, 10669, 1473, 1018, 107, 236770, 236761, 5213, 7692, 236812, 236800, 236770, 236778, 1018, 753, 236743, 236771, 236828, 236787, 236812, 236810, 8151, 568, 67960, 558, 236812, 236768, 753, 113452, 2154, 7578, 138, 107, 236778, 236761, 5213, 112204, 236825, 236810, 236832, 236828, 1018, 753, 236743, 236770, 236770, 236787, 236778, 236771, 8151, 568, 67960, 558, 236770, 236768, 753, 236743, 195096, 216470, 138, 107, 236800, 236761, 5213, 5790, 236770, 236771, 236800, 1018, 753, 236743, 236771, 236778, 236787, 236771, 236810, 8711, 568, 67960, 558, 236812, 236768, 753, 113452, 2154, 7578, 138, 108, 1018, 2021, 62056, 568, 236773, 13200, 1473, 1018, 107, 236770, 236761, 5213, 7692, 236778, 236800, 236812, 236810, 1018, 753, 236743, 236771, 236819, 236787, 236800, 236771, 8151, 568, 67960, 236743, 236812, 236768, 753, 113452, 2154, 7578, 138, 107, 236778, 236761, 5213, 73344, 236825, 236832, 236828, 1018, 753, 236743, 236771, 236778, 236787, 236770, 236810, 8711, 568, 67960, 236743, 236770, 236768, 753, 236743, 195096, 216470, 138, 108, 38786, 611, 1133, 919, 4889, 1003, 1027, 3530, 10224, 653, 10686, 607, 22479, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 27197, 8283, 236761, 4224, 564, 1202, 531, 2426, 994, 22344, 699, 27071, 653, 62056, 531, 19627, 573, 5857, 236743, 236778, 236800, 7221, 236761, 3199, 611, 1161, 506, 73046, 5904, 531, 1586, 22344, 21838, 657, 19627, 4244, 32710, 580, 600, 3433, 236881, 564, 1461, 531, 1386, 2889, 993, 236789, 236751, 496, 1535, 5603, 1063, 2033, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 86614, 1083, 78493, 30861, 236779, 5640, 1083, 623, 7692, 236800, 236778, 236828, 236812, 827, 623, 144376, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236800, 236774, 236770, 236812, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 827, 623, 20055, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236800, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 39175, 1083, 623, 236774, 236812, 827, 623, 4818, 1083, 623, 2791, 7578, 827, 623, 177037, 1083, 623, 236777, 793, 722, 23179, 3714, 30861, 236779, 5640, 1083, 623, 11869, 236828, 236770, 236819, 236778, 827, 623, 144376, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236800, 236774, 236770, 236810, 236787, 236810, 236810, 236787, 236771, 236771, 236953, 827, 623, 20055, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236800, 236774, 236770, 236825, 236787, 236771, 236828, 236787, 236771, 236771, 236953, 827, 623, 39175, 1083, 623, 236774, 236770, 827, 623, 4818, 1083, 623, 167772, 827, 623, 177037, 1083, 623, 72420, 1404, 23179, 3714, 30861, 236779, 5640, 1083, 623, 112204, 236770, 236825, 236778, 236770, 827, 623, 144376, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236800, 236774, 236770, 236832, 236787, 236770, 236771, 236787, 236771, 236771, 236953, 827, 623, 20055, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236800, 236774, 236770, 236832, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 827, 623, 39175, 1083, 623, 236774, 236778, 827, 623, 4818, 1083, 623, 39403, 827, 623, 177037, 1083, 623, 236847, 110862, 25938, 1604, 623, 1896, 236779, 7212, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236800, 827, 623, 140323, 1083, 623, 133732, 4244, 32710, 568, 102892, 16291, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 16257, 22344, 21838, 657, 19627, 4244, 32710, 568, 102892, 236768, 580, 5857, 236743, 236778, 236800, 7221, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 699, 506, 5904, 236789, 236751, 3072, 236787, 108, 236770, 236761, 5213, 7692, 236800, 236778, 236828, 236812, 1018, 568, 236777, 793, 722, 236768, 753, 1572, 34958, 236743, 236778, 236787, 236778, 236778, 8711, 568, 67960, 558, 236812, 236768, 753, 113452, 2154, 7578, 138, 107, 236778, 236761, 5213, 11869, 236828, 236770, 236819, 236778, 1018, 568, 72420, 1404, 236768, 753, 1572, 34958, 236743, 236812, 236787, 236771, 236828, 8711, 568, 67960, 558, 236770, 236768, 753, 236743, 195096, 216470, 138, 107, 236800, 236761, 5213, 112204, 236770, 236825, 236778, 236770, 1018, 568, 236847, 110862, 236768, 753, 1572, 34958, 236743, 236810, 236787, 236771, 236810, 8711, 568, 67960, 558, 236778, 236768, 753, 236743, 252074, 21107, 138, 108, 1018, 10282, 53121, 669, 5904, 3072, 1677, 711, 25010, 20193, 506, 9059, 52132, 568, 177515, 236786, 236773, 13200, 236768, 573, 1239, 22344, 236761, 2282, 9128, 768, 1239, 22344, 659, 699, 13531, 236764, 611, 236858, 236753, 1202, 531, 4071, 236772, 4256, 10224, 4945, 607, 32579, 9116, 1262, 236761, 1701, 2591, 236787, 138, 107, 236772, 5213, 7692, 236800, 236778, 236828, 236812, 1018, 568, 236777, 793, 722, 236768, 3187, 22747, 27071, 236772, 133732, 236761, 138, 107, 236772, 5213, 11869, 236828, 236770, 236819, 236778, 1018, 568, 72420, 1404, 236768, 34386, 699, 1800, 27071, 532, 62056, 236761, 138, 107, 236772, 5213, 112204, 236770, 236825, 236778, 236770, 1018, 568, 236847, 110862, 236768, 11082, 14736, 27071, 236772, 133732, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 2426, 3530, 10224, 4945, 573, 4889, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 16257, 4889, 236761, 3792, 786, 9128, 506, 38320, 529, 1239, 22344, 236761, 28344, 611, 2426, 506, 10224, 4945, 42143, 236800, 236778, 236828, 236812, 236764, 18309, 236828, 236770, 236819, 236778, 236764, 532, 220191, 236770, 236825, 236778, 236770, 10916, 531, 16807, 768, 901, 236858, 500, 14812, 699, 27071, 568, 236796, 10669, 236768, 653, 62056, 568, 236773, 13200, 236768, 580, 5857, 236743, 236778, 236800, 7221, 236881, 1637, 1027, 529, 1091, 79529, 18475, 236764, 564, 236858, 859, 1202, 9302, 3835, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 6436, 653, 34438, 600, 740, 16807, 506, 5213, 20205, 52132, 1018, 529, 3530, 10224, 4945, 568, 5282, 42143, 236800, 236778, 236828, 236812, 236764, 18309, 236828, 236770, 236819, 236778, 236764, 653, 220191, 236770, 236825, 236778, 236770, 236768, 573, 496, 2238, 3433, 236761, 669, 2487, 6436, 1186, 2847, 16257, 236786, 113130, 4889, 573, 19627, 4244, 32710, 17526, 568, 102892, 236768, 840, 776, 711, 3204, 9116, 653, 9059, 1938, 573, 22344, 236761, 236743, 108, 10354, 91330, 236787, 107, 236770, 236761, 5213, 6845, 32579, 17909, 66515, 1701, 2591, 236787, 107, 139, 236772, 91704, 722, 568, 7692, 236800, 236778, 236828, 236812, 1473, 26922, 870, 6197, 722, 236761, 854, 5457, 2574, 1411, 2769, 236761, 6197, 722, 236761, 854, 236768, 531, 9128, 506, 10224, 236789, 236751, 9116, 236761, 107, 139, 236772, 221660, 568, 11869, 236828, 236770, 236819, 236778, 1473, 7179, 870, 220566, 1404, 236761, 854, 5457, 2574, 1411, 2769, 236761, 220566, 1404, 236761, 854, 769, 107, 139, 236772, 782, 110862, 568, 112204, 236770, 236825, 236778, 236770, 1473, 26922, 870, 236766, 110862, 236761, 854, 5457, 2574, 1411, 2769, 236761, 236766, 110862, 236761, 854, 769, 108, 236778, 236761, 5213, 93993, 3835, 66515, 1637, 1239, 22344, 1537, 236858, 236745, 79529, 699, 13531, 236764, 611, 1451, 236787, 107, 139, 236772, 6890, 506, 5213, 65758, 1264, 5904, 1018, 573, 19627, 531, 3927, 573, 129794, 22344, 531, 622, 10669, 236786, 236773, 13200, 568, 5503, 611, 3016, 1602, 672, 6517, 769, 107, 139, 236772, 11696, 573, 22344, 75389, 699, 27071, 653, 62056, 531, 19627, 1699, 496, 4185, 10224, 3927, 5058, 1133, 5213, 19540, 115058, 125546, 5213, 14841, 210188, 125546, 653, 5213, 61055, 10718, 236761, 854, 84750, 108, 38786, 611, 1133, 1601, 68632, 496, 3927, 7609, 573, 8398, 14175, 653, 16329, 1032, 14069, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 236743, 236812, 236772, 14808, 26149, 2731, 531, 4006, 1041, 45228, 22703, 2290, 236761, 30235, 580, 2420, 6332, 236764, 7157, 11646, 236764, 532, 118220, 52201, 236761, 7714, 6478, 1374, 577, 236743, 236825, 236771, 4310, 532, 1161, 6079, 15346, 5842, 1133, 8047, 16573, 236764, 136914, 236764, 532, 496, 11646, 4299, 236761, 3199, 611, 8729, 672, 2731, 1651, 17096, 20958, 25430, 1041, 13181, 10368, 618, 496, 2844, 3724, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 68492, 236779, 15081, 1083, 3714, 19001, 236779, 76887, 1083, 236743, 236812, 236764, 623, 64225, 236779, 721, 236779, 14808, 1083, 236743, 236800, 236764, 623, 11757, 236779, 37311, 1083, 11058, 2273, 6332, 827, 623, 6102, 11646, 827, 623, 1321, 1730, 52201, 14255, 623, 41413, 1083, 3714, 49381, 1083, 3714, 108405, 1083, 78493, 1201, 1083, 623, 236796, 3464, 11761, 40129, 2139, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 623, 236770, 236778, 236772, 236770, 236810, 827, 623, 89149, 1083, 623, 71352, 88041, 23179, 3714, 1201, 1083, 623, 2740, 1181, 607, 69489, 14627, 827, 623, 19001, 1083, 623, 236800, 7093, 529, 236743, 236800, 236771, 236751, 827, 623, 89149, 1083, 623, 181188, 4299, 23179, 3714, 1201, 1083, 623, 165887, 15570, 7947, 1730, 565, 31303, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 623, 236770, 236810, 236772, 236778, 236771, 827, 623, 89149, 1083, 623, 82033, 16573, 25938, 1604, 623, 6725, 236779, 2289, 1083, 623, 236825, 236771, 4310, 23179, 623, 58189, 1083, 3714, 108405, 1083, 78493, 1201, 1083, 623, 227728, 507, 607, 152072, 88041, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 623, 236770, 236771, 236772, 236770, 236778, 810, 2420, 827, 623, 89149, 1083, 623, 71352, 88041, 23179, 3714, 1201, 1083, 623, 50981, 13438, 1954, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 623, 236778, 236771, 827, 623, 89149, 1083, 623, 9745, 23179, 3714, 1201, 1083, 623, 165887, 15570, 44457, 236772, 236776, 20764, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 623, 236770, 236810, 827, 623, 89149, 1083, 623, 82033, 16573, 25938, 1604, 623, 6725, 236779, 2289, 1083, 623, 236825, 236771, 4310, 23179, 623, 46325, 1083, 3714, 108405, 1083, 78493, 1201, 1083, 623, 51150, 208464, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 623, 236828, 236772, 236770, 236771, 827, 623, 89149, 1083, 623, 71352, 88041, 23179, 3714, 1201, 1083, 623, 22373, 185439, 580, 69489, 14627, 827, 623, 19001, 1083, 623, 236800, 7093, 529, 236743, 236778, 236771, 236751, 810, 2678, 827, 623, 89149, 1083, 623, 181188, 4299, 23179, 3714, 1201, 1083, 623, 199029, 103726, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 623, 236770, 236771, 827, 623, 89149, 1083, 623, 82033, 16573, 25938, 1604, 623, 6725, 236779, 2289, 1083, 623, 236825, 236771, 4310, 236775, 5237, 623, 23184, 1083, 623, 9004, 13455, 5402, 573, 990, 9286, 236761, 93141, 1161, 10615, 18560, 531, 29893, 22703, 236772, 15396, 22656, 236761, 10973, 2668, 5284, 528, 531, 25430, 13181, 30916, 221476, 623, 4818, 1083, 623, 87877, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 34037, 236743, 236812, 236772, 14808, 22703, 236772, 41889, 26149, 2731, 5402, 573, 496, 13181, 10368, 236787, 108, 1018, 97850, 23718, 568, 236800, 70097, 62902, 107, 236772, 5213, 49381, 66515, 156403, 900, 17354, 900, 7947, 29103, 107, 138, 236772, 152072, 11761, 40129, 2139, 236743, 236800, 236781, 236770, 236778, 236772, 236770, 236810, 107, 138, 236772, 185439, 607, 69489, 14627, 236743, 236800, 236781, 236800, 236771, 236751, 107, 138, 236772, 55732, 15570, 7947, 1730, 565, 31303, 236743, 236800, 236781, 236770, 236810, 236772, 236778, 236771, 107, 236772, 5213, 58189, 66515, 26959, 21307, 900, 17354, 107, 138, 236772, 80235, 507, 607, 152072, 88041, 236743, 236800, 236781, 236770, 236771, 236772, 236770, 236778, 236786, 2273, 107, 138, 236772, 9203, 13438, 1954, 236743, 236800, 236781, 236778, 236771, 107, 138, 236772, 55732, 15570, 44457, 236772, 236776, 20764, 236743, 236800, 236781, 236770, 236810, 107, 236772, 5213, 46325, 66515, 10456, 21307, 61807, 107, 138, 236772, 21918, 208464, 236743, 236800, 236781, 236828, 236772, 236770, 236771, 107, 138, 236772, 19222, 185439, 580, 69489, 14627, 236743, 236800, 236781, 236778, 236771, 236751, 236786, 2897, 107, 138, 236772, 228030, 103726, 236743, 236800, 236781, 236770, 236771, 108, 1018, 3503, 25772, 1018, 107, 240732, 236743, 236825, 236771, 236772, 20353, 14845, 607, 11893, 5842, 138, 107, 240732, 69818, 18560, 573, 22703, 236772, 15396, 22656, 138, 107, 240732, 44653, 236772, 495, 1884, 2668, 568, 198521, 236786, 120053, 236786, 18318, 236768, 573, 10941, 138, 107, 240732, 29187, 100939, 11373, 573, 19142, 138, 107, 240732, 17354, 236786, 1321, 1730, 981, 13148, 528, 1418, 6478, 138, 108, 1018, 39656, 42272, 66515, 14066, 5597, 60618, 580, 38025, 532, 9137, 14845, 580, 94140, 568, 236744, 236761, 236759, 1126, 8492, 236743, 236825, 236787, 236800, 236771, 236772, 236832, 236787, 236800, 236771, 8711, 532, 8224, 236743, 236828, 236772, 236819, 8151, 236768, 531, 30726, 2778, 4535, 2101, 64570, 3441, 10993, 236761, 236743, 108, 38786, 611, 1133, 786, 531, 6253, 1027, 20958, 653, 21238, 236881, 106, 107, 105, 2364, 107, 2094, 5724, 1822, 236888, 564, 1461, 531, 5330, 564, 740, 6568, 607, 625, 1651, 41346, 981, 532, 2523, 41716, 236761, 28344, 611, 6253, 506, 2731, 531, 3204, 236787, 236743, 236770, 236761, 5213, 236810, 236772, 20353, 6962, 236772, 1048, 236786, 62376, 48843, 1018, 3530, 531, 22703, 18560, 568, 236744, 236761, 236759, 1126, 21747, 704, 104388, 236764, 3774, 21189, 236768, 236743, 236778, 236761, 5213, 236773, 1818, 589, 24277, 1018, 573, 2668, 1056, 564, 1186, 735, 236743, 236800, 236771, 4310, 568, 236744, 236761, 236759, 1126, 26614, 2420, 900, 118220, 20958, 236768, 236743, 236800, 236761, 5213, 9435, 236772, 18865, 100939, 1018, 768, 564, 740, 236858, 236745, 974, 531, 506, 15346, 568, 236744, 236761, 236759, 1126, 1699, 1813, 22727, 618, 136914, 236768, 236743, 236812, 236761, 562, 5213, 16717, 52299, 1018, 531, 2212, 68450, 236764, 18710, 236764, 653, 30981, 2069, 236772, 1071, 236772, 14808, 236881, 6542, 236764, 740, 611, 3600, 5213, 3274, 236772, 68492, 10941, 35009, 1018, 600, 8913, 607, 1041, 49115, 236786, 135887, 66577, 568, 236744, 236761, 236759, 1126, 2613, 1699, 5756, 32070, 699, 1041, 7972, 20625, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 14051, 822, 2731, 607, 1239, 10231, 30981, 236761, 5978, 7293, 529, 506, 2487, 6436, 740, 5467, 6060, 1239, 3530, 10512, 236764, 564, 740, 2847, 34037, 5434, 236787, 108, 1018, 236770, 236761, 50798, 236772, 46163, 63311, 236772, 4674, 75027, 568, 236810, 46205, 62902, 107, 236772, 132593, 704, 104388, 568, 236778, 236771, 9093, 1546, 5281, 236768, 107, 236772, 6691, 21189, 568, 236770, 236771, 4448, 236786, 79130, 236768, 107, 236772, 4819, 40027, 607, 88335, 76589, 568, 236800, 236771, 9093, 236768, 107, 236772, 39332, 17195, 507, 607, 3774, 5370, 568, 236770, 236771, 68450, 236786, 2897, 236768, 107, 236772, 57088, 25516, 653, 13024, 59943, 568, 236770, 9641, 236768, 108, 1018, 236778, 236761, 236743, 236800, 236771, 236772, 83552, 17734, 5490, 13455, 1018, 107, 236829, 13733, 562, 568, 19770, 236751, 900, 7947, 29103, 1473, 236829, 107, 236772, 152072, 11761, 70113, 531, 2686, 568, 236800, 236781, 236770, 236778, 236768, 107, 236772, 55732, 4918, 21747, 23241, 568, 236800, 236781, 236770, 236810, 236786, 2897, 236768, 107, 236772, 69489, 4299, 138677, 90526, 568, 236800, 236781, 236770, 236810, 236768, 107, 236772, 29117, 535, 34319, 90526, 568, 236800, 236781, 236778, 236771, 236768, 108, 236829, 13733, 603, 568, 11834, 900, 7947, 29103, 1473, 236829, 107, 236772, 185439, 607, 8047, 4918, 12773, 568, 236800, 236781, 236812, 236810, 236751, 236768, 107, 236772, 9203, 76589, 607, 1813, 8029, 568, 236800, 236781, 236778, 236771, 236768, 107, 236772, 19222, 51156, 607, 5370, 236772, 17429, 236751, 568, 236800, 236781, 236800, 236771, 236751, 236786, 2897, 236768, 107, 236772, 32805, 9987, 2391, 568, 236800, 236781, 236800, 236771, 236751, 236768, 108, 1018, 236800, 236761, 6863, 236772, 83899, 210348, 3474, 1018, 107, 236772, 152072, 88041, 16130, 7768, 22727, 236786, 42016, 568, 236778, 236798, 578, 2578, 236812, 236761, 236812, 56301, 236768, 107, 236772, 69489, 4299, 16130, 152651, 43326, 568, 1708, 16240, 34679, 236768, 107, 236772, 55732, 16573, 16130, 842, 4243, 29425, 15337, 236786, 947, 12406, 23655, 107, 236772, 141258, 17195, 507, 16130, 117410, 607, 6249, 108, 1018, 236812, 236761, 22583, 80135, 33404, 1018, 107, 2717, 107, 145964, 236743, 236770, 236772, 236812, 118577, 1089, 107, 3682, 236787, 52551, 1109, 7578, 236787, 52551, 1109, 9904, 16575, 236787, 236743, 236770, 236772, 236810, 108, 2201, 176586, 144, 236909, 14775, 236773, 1109, 4769, 4502, 1109, 161858, 568, 2204, 236768, 1109, 88360, 107, 2819, 2819, 2819, 7243, 107, 55376, 2139, 146, 236909, 236743, 236800, 140, 236909, 236743, 236770, 236778, 139, 236909, 236743, 236778, 192776, 143, 236909, 900, 236810, 236751, 51156, 107, 227728, 507, 146, 236909, 236743, 236800, 140, 236909, 236743, 236770, 236771, 236786, 236751, 1109, 6249, 5693, 140, 236909, 515, 208026, 236888, 107, 51150, 208464, 143, 236909, 236743, 236800, 140, 236909, 236743, 236828, 140, 236909, 27263, 141, 236909, 2480, 1183, 107, 2717, 108, 1018, 115232, 236772, 83899, 38034, 156459, 1018, 107, 236772, 126750, 41164, 187126, 236787, 16470, 52652, 900, 22892, 900, 65051, 900, 6762, 13950, 900, 21222, 35688, 107, 236772, 19871, 20823, 27603, 204242, 236787, 229060, 236786, 4139, 978, 900, 171366, 900, 116947, 699, 7972, 107, 236772, 96294, 236772, 208248, 95292, 236787, 2991, 1043, 16658, 14318, 607, 7972, 29979, 236786, 10162, 543, 900, 3697, 11261, 40233, 107, 236772, 126750, 16405, 3456, 7768, 236787, 62390, 98637, 236786, 84210, 900, 61944, 32892, 900, 42257, 31351, 108, 38786, 611, 1133, 786, 531, 25139, 1027, 529, 1239, 4820, 1131, 3530, 2668, 529, 822, 26149, 2731, 236881, 669, 52299, 740, 577, 618, 3606, 618, 496, 8687, 850, 7234, 653, 13762, 7930, 753, 9002, 4146, 1791, 607, 822, 10368, 236888, 106, 107, 105, 2364, 107, 236777, 236858, 236753, 2765, 531, 25139, 506, 5213, 61940, 236772, 15396, 6962, 236772, 1048, 15668, 1018, 1131, 1546, 1719, 236858, 236751, 2731, 753, 1451, 611, 2016, 600, 5467, 1131, 506, 6478, 3904, 236881, 6542, 236764, 740, 611, 1138, 506, 5213, 8147, 236772, 18865, 100939, 1018, 618, 3724, 51187, 8687, 2148, 531, 1546, 15346, 236772, 5140, 8774, 236881, 1701, 10941, 35009, 236764, 564, 236858, 236753, 1133, 531, 2056, 506, 5213, 949, 2265, 6762, 78529, 1018, 532, 5213, 45312, 114996, 33227, 1018, 753, 1451, 611, 2847, 4453, 10802, 236786, 77095, 573, 1239, 1156, 23642, 600, 7298, 886, 1589, 236881, 13472, 236764, 1093, 611, 3600, 496, 5177, 6518, 573, 506, 5213, 16717, 52299, 1018, 600, 27674, 236751, 607, 1041, 5154, 14626, 568, 236744, 236761, 236759, 1126, 6475, 89639, 7930, 607, 6282, 236772, 1896, 4065, 20625, 106, 107, 105, 4368, 107, 236777, 236789, 859, 25139, 822, 15633, 30981, 1131, 506, 2731, 607, 10231, 4889, 236787, 108, 7243, 108, 10354, 5213, 41778, 40502, 112252, 9620, 607, 63311, 236772, 96871, 833, 210348, 3474, 1018, 107, 1018, 106862, 5790, 568, 19770, 236751, 900, 17354, 900, 7947, 29103, 62902, 138, 107, 236829, 99257, 236772, 1048, 63508, 138, 107, 236772, 132593, 704, 104388, 568, 236778, 236771, 4416, 1546, 5281, 236768, 138, 107, 236772, 6691, 21189, 568, 236770, 236771, 4448, 236786, 79130, 236768, 138, 107, 236772, 4819, 40027, 607, 88335, 76589, 568, 236800, 236771, 4416, 236768, 138, 107, 236772, 39332, 17195, 507, 607, 3774, 5370, 568, 236770, 236771, 68450, 236786, 2897, 236768, 138, 107, 236772, 57088, 25516, 236786, 18184, 60956, 568, 236770, 1322, 236768, 138, 108, 236770, 236761, 5213, 236796, 3464, 11761, 40129, 2139, 1018, 568, 236800, 236781, 236770, 236778, 236772, 236770, 236810, 236768, 138, 107, 139, 16907, 5096, 236787, 236743, 236778, 236798, 1813, 192776, 653, 27263, 607, 6249, 12016, 138, 107, 236778, 236761, 5213, 2740, 1181, 607, 69489, 14627, 1018, 568, 236800, 236781, 236800, 236771, 236751, 236768, 138, 107, 139, 16907, 5096, 236787, 152651, 43326, 653, 25829, 37931, 1208, 704, 1365, 12016, 138, 107, 236800, 236761, 5213, 165887, 15570, 7947, 1730, 565, 31303, 1018, 568, 236800, 236781, 236770, 236810, 236772, 236778, 236771, 236768, 138, 107, 139, 16907, 5096, 236787, 842, 4243, 29425, 15337, 19240, 531, 9048, 900, 1813, 8029, 12016, 138, 108, 1018, 180210, 225578, 568, 19503, 21307, 900, 17354, 62902, 138, 107, 236829, 99257, 236772, 1048, 63508, 138, 107, 236772, 51909, 1638, 6962, 236772, 1048, 7501, 138, 108, 236770, 236761, 5213, 227728, 507, 607, 152072, 88041, 1018, 568, 236800, 236781, 236770, 236771, 236772, 236770, 236778, 236786, 2897, 236768, 138, 107, 139, 16907, 5096, 236787, 236743, 236778, 236798, 192776, 653, 9772, 27263, 12016, 138, 107, 236778, 236761, 5213, 50981, 13438, 1954, 1018, 568, 236800, 236781, 236778, 236771, 236768, 138, 107, 139, 16907, 5096, 236787, 21007, 7972, 2197, 607, 9295, 573, 3825, 12016, 138, 107, 236800, 236761, 5213, 165887, 15570, 44457, 236772, 236776, 20764, 1018, 568, 236800, 236781, 236770, 236810, 236768, 138, 107, 139, 16907, 5096, 236787, 67843, 15337, 36216, 653, 35208, 4918, 699, 2255, 12406, 11945, 12016, 138, 108, 1018, 88674, 193098, 568, 13973, 21307, 61807, 62902, 138, 107, 236829, 99257, 236772, 1048, 63508, 138, 107, 236772, 51909, 1638, 6962, 236772, 1048, 7501, 138, 108, 236770, 236761, 5213, 51150, 208464, 1018, 568, 236800, 236781, 236828, 236772, 236770, 236771, 236768, 138, 107, 139, 16907, 5096, 236787, 39591, 32095, 16226, 653, 1813, 192776, 12016, 138, 107, 236778, 236761, 5213, 22373, 185439, 580, 69489, 14627, 1018, 568, 236800, 236781, 236778, 236771, 236751, 236786, 2897, 236768, 138, 107, 139, 16907, 5096, 236787, 191223, 236751, 580, 29919, 43326, 653, 31914, 12016, 138, 107, 236800, 236761, 5213, 199029, 103726, 1018, 568, 236800, 236781, 236770, 236771, 236768, 138, 107, 139, 16907, 5096, 236787, 29117, 535, 26339, 607, 1813, 8029, 12016, 138, 108, 7243, 108, 10354, 5213, 105947, 160928, 83685, 568, 19049, 117724, 62902, 138, 107, 1018, 243536, 126750, 41164, 187126, 1018, 138, 107, 236772, 47041, 8578, 14529, 16470, 52652, 568, 504, 3732, 236772, 5140, 9302, 236768, 138, 107, 236772, 81568, 8578, 5756, 65051, 568, 2543, 7972, 236768, 138, 107, 236772, 81568, 8578, 21222, 35688, 138, 107, 236772, 236743, 236770, 107072, 22027, 15003, 138, 107, 236772, 47041, 64434, 37675, 6762, 13950, 568, 31162, 236768, 138, 107, 236772, 81568, 8578, 1813, 653, 47195, 9556, 138, 107, 236772, 236743, 236778, 5756, 22892, 6895, 138, 107, 236829, 76503, 784, 13153, 236761, 4140, 21949, 768, 35688, 659, 24630, 9603, 138, 108, 1018, 251722, 19871, 20823, 27603, 204242, 1018, 138, 107, 236772, 236743, 236770, 52825, 61944, 568, 232176, 1131, 236743, 236812, 236775, 33227, 236768, 138, 107, 236772, 236743, 236778, 94580, 117625, 568, 8424, 1131, 236743, 236812, 236775, 9097, 236768, 138, 107, 236772, 236743, 236770, 8578, 30153, 29979, 568, 6052, 1872, 768, 2455, 236768, 138, 107, 236772, 81568, 8578, 171366, 568, 33508, 607, 5756, 46590, 236786, 574, 2031, 699, 7972, 236768, 138, 107, 236829, 89948, 76173, 1131, 171366, 236761, 175301, 607, 5442, 9551, 9603, 138, 108, 7243, 108, 10354, 5213, 20558, 80135, 111506, 1018, 138, 107, 1018, 19540, 89639, 33404, 1018, 138, 107, 236770, 236761, 5213, 42736, 66515, 138, 107, 139, 236772, 8600, 11312, 236787, 6809, 1109, 7578, 1109, 9904, 568, 236770, 236772, 236810, 236768, 1109, 24118, 138, 107, 139, 236772, 6890, 5774, 55163, 573, 623, 35741, 236775, 568, 236770, 236772, 236810, 236768, 138, 107, 139, 236772, 14297, 236772, 1896, 236787, 59504, 6354, 236769, 236776, 236778, 52715, 35309, 6354, 236769, 236799, 236778, 718, 206887, 165540, 5790, 26879, 236775, 1373, 236929, 138, 107, 236778, 236761, 5213, 15829, 10297, 66515, 870, 13185, 496, 11371, 529, 1174, 33404, 5457, 2574, 1411, 16546, 236761, 7239, 236761, 854, 236786, 47706, 57040, 236786, 236753, 236786, 236770, 236746, 154706, 236796, 27214, 138, 107, 236800, 236761, 5213, 16149, 607, 30467, 66515, 138, 107, 139, 236772, 8040, 236772, 3970, 7723, 60618, 568, 10671, 236768, 138, 107, 139, 236772, 5833, 14626, 82925, 573, 8492, 236743, 236825, 236787, 236800, 236771, 8711, 236764, 8224, 236743, 236828, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 6890, 623, 138180, 191961, 236775, 531, 8357, 15315, 2668, 568, 1192, 236768, 138, 108, 7243, 108, 38786, 611, 1133, 786, 531, 59638, 1027, 3336, 3342, 236881, 669, 45767, 7930, 740, 577, 34037, 607, 822, 12373, 34038, 236786, 87973, 111730, 573, 3823, 16074, 236888, 236743, 248072, 242980, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 236743, 236812, 236772, 14808, 26149, 2731, 531, 4006, 1041, 45228, 22703, 2290, 236761, 30235, 580, 2420, 6332, 236764, 7157, 11646, 236764, 532, 118220, 52201, 236761, 7714, 6478, 1374, 577, 236743, 236825, 236771, 4310, 532, 1161, 6079, 15346, 5842, 1133, 8047, 16573, 236764, 136914, 236764, 532, 496, 11646, 4299, 236761, 3199, 611, 8729, 672, 2731, 1651, 17096, 20958, 25430, 1041, 13181, 10368, 618, 496, 2844, 3724, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 68492, 236779, 15081, 1083, 3714, 19001, 236779, 76887, 1083, 236743, 236812, 236764, 623, 64225, 236779, 721, 236779, 14808, 1083, 236743, 236800, 236764, 623, 11757, 236779, 37311, 1083, 11058, 2273, 6332, 827, 623, 6102, 11646, 827, 623, 1321, 1730, 52201, 14255, 623, 41413, 1083, 3714, 49381, 1083, 3714, 108405, 1083, 78493, 1201, 1083, 623, 236796, 3464, 11761, 40129, 2139, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 623, 236770, 236778, 236772, 236770, 236810, 827, 623, 89149, 1083, 623, 71352, 88041, 23179, 3714, 1201, 1083, 623, 2740, 1181, 607, 69489, 14627, 827, 623, 19001, 1083, 623, 236800, 7093, 529, 236743, 236800, 236771, 236751, 827, 623, 89149, 1083, 623, 181188, 4299, 23179, 3714, 1201, 1083, 623, 165887, 15570, 7947, 1730, 565, 31303, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 623, 236770, 236810, 236772, 236778, 236771, 827, 623, 89149, 1083, 623, 82033, 16573, 25938, 1604, 623, 6725, 236779, 2289, 1083, 623, 236825, 236771, 4310, 23179, 623, 58189, 1083, 3714, 108405, 1083, 78493, 1201, 1083, 623, 227728, 507, 607, 152072, 88041, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 623, 236770, 236771, 236772, 236770, 236778, 810, 2420, 827, 623, 89149, 1083, 623, 71352, 88041, 23179, 3714, 1201, 1083, 623, 50981, 13438, 1954, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 623, 236778, 236771, 827, 623, 89149, 1083, 623, 9745, 23179, 3714, 1201, 1083, 623, 165887, 15570, 44457, 236772, 236776, 20764, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 623, 236770, 236810, 827, 623, 89149, 1083, 623, 82033, 16573, 25938, 1604, 623, 6725, 236779, 2289, 1083, 623, 236825, 236771, 4310, 23179, 623, 46325, 1083, 3714, 108405, 1083, 78493, 1201, 1083, 623, 51150, 208464, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 623, 236828, 236772, 236770, 236771, 827, 623, 89149, 1083, 623, 71352, 88041, 23179, 3714, 1201, 1083, 623, 22373, 185439, 580, 69489, 14627, 827, 623, 19001, 1083, 623, 236800, 7093, 529, 236743, 236778, 236771, 236751, 810, 2678, 827, 623, 89149, 1083, 623, 181188, 4299, 23179, 3714, 1201, 1083, 623, 199029, 103726, 827, 623, 4814, 1083, 236743, 236800, 236764, 623, 500, 975, 1083, 623, 236770, 236771, 827, 623, 89149, 1083, 623, 82033, 16573, 25938, 1604, 623, 6725, 236779, 2289, 1083, 623, 236825, 236771, 4310, 236775, 5237, 623, 23184, 1083, 623, 9004, 13455, 5402, 573, 990, 9286, 236761, 93141, 1161, 10615, 18560, 531, 29893, 22703, 236772, 15396, 22656, 236761, 10973, 2668, 5284, 528, 531, 25430, 13181, 30916, 221476, 623, 4818, 1083, 623, 87877, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 34037, 236743, 236812, 236772, 14808, 22703, 236772, 41889, 26149, 2731, 5402, 573, 496, 13181, 10368, 236787, 108, 1018, 97850, 23718, 568, 236800, 70097, 62902, 107, 236772, 5213, 49381, 66515, 156403, 900, 17354, 900, 7947, 29103, 107, 138, 236772, 152072, 11761, 40129, 2139, 236743, 236800, 236781, 236770, 236778, 236772, 236770, 236810, 107, 138, 236772, 185439, 607, 69489, 14627, 236743, 236800, 236781, 236800, 236771, 236751, 107, 138, 236772, 55732, 15570, 7947, 1730, 565, 31303, 236743, 236800, 236781, 236770, 236810, 236772, 236778, 236771, 107, 236772, 5213, 58189, 66515, 26959, 21307, 900, 17354, 107, 138, 236772, 80235, 507, 607, 152072, 88041, 236743, 236800, 236781, 236770, 236771, 236772, 236770, 236778, 236786, 2273, 107, 138, 236772, 9203, 13438, 1954, 236743, 236800, 236781, 236778, 236771, 107, 138, 236772, 55732, 15570, 44457, 236772, 236776, 20764, 236743, 236800, 236781, 236770, 236810, 107, 236772, 5213, 46325, 66515, 10456, 21307, 61807, 107, 138, 236772, 21918, 208464, 236743, 236800, 236781, 236828, 236772, 236770, 236771, 107, 138, 236772, 19222, 185439, 580, 69489, 14627, 236743, 236800, 236781, 236778, 236771, 236751, 236786, 2897, 107, 138, 236772, 228030, 103726, 236743, 236800, 236781, 236770, 236771, 108, 1018, 3503, 25772, 1018, 107, 240732, 236743, 236825, 236771, 236772, 20353, 14845, 607, 11893, 5842, 138, 107, 240732, 69818, 18560, 573, 22703, 236772, 15396, 22656, 138, 107, 240732, 44653, 236772, 495, 1884, 2668, 568, 198521, 236786, 120053, 236786, 18318, 236768, 573, 10941, 138, 107, 240732, 29187, 100939, 11373, 573, 19142, 138, 107, 240732, 17354, 236786, 1321, 1730, 981, 13148, 528, 1418, 6478, 138, 108, 1018, 39656, 42272, 66515, 14066, 5597, 60618, 580, 38025, 532, 9137, 14845, 580, 94140, 568, 236744, 236761, 236759, 1126, 8492, 236743, 236825, 236787, 236800, 236771, 236772, 236832, 236787, 236800, 236771, 8711, 532, 8224, 236743, 236828, 236772, 236819, 8151, 236768, 531, 30726, 2778, 4535, 2101, 64570, 3441, 10993, 236761, 236743, 108, 38786, 611, 1133, 786, 531, 6253, 1027, 20958, 653, 21238, 236881, 106, 107, 105, 2364, 107, 2094, 5724, 1822, 236888, 564, 1461, 531, 5330, 564, 740, 6568, 607, 625, 1651, 41346, 981, 532, 2523, 41716, 236761, 28344, 611, 6253, 506, 2731, 531, 3204, 236787, 236743, 236770, 236761, 5213, 236810, 236772, 20353, 6962, 236772, 1048, 236786, 62376, 48843, 1018, 3530, 531, 22703, 18560, 568, 236744, 236761, 236759, 1126, 21747, 704, 104388, 236764, 3774, 21189, 236768, 236743, 236778, 236761, 5213, 236773, 1818, 589, 24277, 1018, 573, 2668, 1056, 564, 1186, 735, 236743, 236800, 236771, 4310, 568, 236744, 236761, 236759, 1126, 26614, 2420, 900, 118220, 20958, 236768, 236743, 236800, 236761, 5213, 9435, 236772, 18865, 100939, 1018, 768, 564, 740, 236858, 236745, 974, 531, 506, 15346, 568, 236744, 236761, 236759, 1126, 1699, 1813, 22727, 618, 136914, 236768, 236743, 236812, 236761, 562, 5213, 16717, 52299, 1018, 531, 2212, 68450, 236764, 18710, 236764, 653, 30981, 2069, 236772, 1071, 236772, 14808, 236881, 6542, 236764, 740, 611, 3600, 5213, 3274, 236772, 68492, 10941, 35009, 1018, 600, 8913, 607, 1041, 49115, 236786, 135887, 66577, 568, 236744, 236761, 236759, 1126, 2613, 1699, 5756, 32070, 699, 1041, 7972, 20625, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 14051, 822, 2731, 607, 1239, 10231, 30981, 236761, 5978, 7293, 529, 506, 2487, 6436, 740, 5467, 6060, 1239, 3530, 10512, 236764, 564, 740, 2847, 34037, 5434, 236787, 108, 1018, 236770, 236761, 50798, 236772, 46163, 63311, 236772, 4674, 75027, 568, 236810, 46205, 62902, 107, 236772, 132593, 704, 104388, 568, 236778, 236771, 9093, 1546, 5281, 236768, 107, 236772, 6691, 21189, 568, 236770, 236771, 4448, 236786, 79130, 236768, 107, 236772, 4819, 40027, 607, 88335, 76589, 568, 236800, 236771, 9093, 236768, 107, 236772, 39332, 17195, 507, 607, 3774, 5370, 568, 236770, 236771, 68450, 236786, 2897, 236768, 107, 236772, 57088, 25516, 653, 13024, 59943, 568, 236770, 9641, 236768, 108, 1018, 236778, 236761, 236743, 236800, 236771, 236772, 83552, 17734, 5490, 13455, 1018, 107, 236829, 13733, 562, 568, 19770, 236751, 900, 7947, 29103, 1473, 236829, 107, 236772, 152072, 11761, 70113, 531, 2686, 568, 236800, 236781, 236770, 236778, 236768, 107, 236772, 55732, 4918, 21747, 23241, 568, 236800, 236781, 236770, 236810, 236786, 2897, 236768, 107, 236772, 69489, 4299, 138677, 90526, 568, 236800, 236781, 236770, 236810, 236768, 107, 236772, 29117, 535, 34319, 90526, 568, 236800, 236781, 236778, 236771, 236768, 108, 236829, 13733, 603, 568, 11834, 900, 7947, 29103, 1473, 236829, 107, 236772, 185439, 607, 8047, 4918, 12773, 568, 236800, 236781, 236812, 236810, 236751, 236768, 107, 236772, 9203, 76589, 607, 1813, 8029, 568, 236800, 236781, 236778, 236771, 236768, 107, 236772, 19222, 51156, 607, 5370, 236772, 17429, 236751, 568, 236800, 236781, 236800, 236771, 236751, 236786, 2897, 236768, 107, 236772, 32805, 9987, 2391, 568, 236800, 236781, 236800, 236771, 236751, 236768, 108, 1018, 236800, 236761, 6863, 236772, 83899, 210348, 3474, 1018, 107, 236772, 152072, 88041, 16130, 7768, 22727, 236786, 42016, 568, 236778, 236798, 578, 2578, 236812, 236761, 236812, 56301, 236768, 107, 236772, 69489, 4299, 16130, 152651, 43326, 568, 1708, 16240, 34679, 236768, 107, 236772, 55732, 16573, 16130, 842, 4243, 29425, 15337, 236786, 947, 12406, 23655, 107, 236772, 141258, 17195, 507, 16130, 117410, 607, 6249, 108, 1018, 236812, 236761, 22583, 80135, 33404, 1018, 107, 2717, 107, 145964, 236743, 236770, 236772, 236812, 118577, 1089, 107, 3682, 236787, 52551, 1109, 7578, 236787, 52551, 1109, 9904, 16575, 236787, 236743, 236770, 236772, 236810, 108, 2201, 176586, 144, 236909, 14775, 236773, 1109, 4769, 4502, 1109, 161858, 568, 2204, 236768, 1109, 88360, 107, 2819, 2819, 2819, 7243, 107, 55376, 2139, 146, 236909, 236743, 236800, 140, 236909, 236743, 236770, 236778, 139, 236909, 236743, 236778, 192776, 143, 236909, 900, 236810, 236751, 51156, 107, 227728, 507, 146, 236909, 236743, 236800, 140, 236909, 236743, 236770, 236771, 236786, 236751, 1109, 6249, 5693, 140, 236909, 515, 208026, 236888, 107, 51150, 208464, 143, 236909, 236743, 236800, 140, 236909, 236743, 236828, 140, 236909, 27263, 141, 236909, 2480, 1183, 107, 2717, 108, 1018, 115232, 236772, 83899, 38034, 156459, 1018, 107, 236772, 126750, 41164, 187126, 236787, 16470, 52652, 900, 22892, 900, 65051, 900, 6762, 13950, 900, 21222, 35688, 107, 236772, 19871, 20823, 27603, 204242, 236787, 229060, 236786, 4139, 978, 900, 171366, 900, 116947, 699, 7972, 107, 236772, 96294, 236772, 208248, 95292, 236787, 2991, 1043, 16658, 14318, 607, 7972, 29979, 236786, 10162, 543, 900, 3697, 11261, 40233, 107, 236772, 126750, 16405, 3456, 7768, 236787, 62390, 98637, 236786, 84210, 900, 61944, 32892, 900, 42257, 31351, 108, 38786, 611, 1133, 786, 531, 25139, 1027, 529, 1239, 4820, 1131, 3530, 2668, 529, 822, 26149, 2731, 236881, 669, 52299, 740, 577, 618, 3606, 618, 496, 8687, 850, 7234, 653, 13762, 7930, 753, 9002, 4146, 1791, 607, 822, 10368, 236888, 106, 107, 105, 2364, 107, 236777, 236858, 236753, 2765, 531, 25139, 506, 5213, 61940, 236772, 15396, 6962, 236772, 1048, 15668, 1018, 1131, 1546, 1719, 236858, 236751, 2731, 753, 1451, 611, 2016, 600, 5467, 1131, 506, 6478, 3904, 236881, 6542, 236764, 740, 611, 1138, 506, 5213, 8147, 236772, 18865, 100939, 1018, 618, 3724, 51187, 8687, 2148, 531, 1546, 15346, 236772, 5140, 8774, 236881, 1701, 10941, 35009, 236764, 564, 236858, 236753, 1133, 531, 2056, 506, 5213, 949, 2265, 6762, 78529, 1018, 532, 5213, 45312, 114996, 33227, 1018, 753, 1451, 611, 2847, 4453, 10802, 236786, 77095, 573, 1239, 1156, 23642, 600, 7298, 886, 1589, 236881, 13472, 236764, 1093, 611, 3600, 496, 5177, 6518, 573, 506, 5213, 16717, 52299, 1018, 600, 27674, 236751, 607, 1041, 5154, 14626, 568, 236744, 236761, 236759, 1126, 6475, 89639, 7930, 607, 6282, 236772, 1896, 4065, 20625, 106, 107, 105, 4368, 107, 236777, 236789, 859, 25139, 822, 15633, 30981, 1131, 506, 2731, 607, 10231, 4889, 236787, 108, 7243, 108, 10354, 5213, 41778, 40502, 112252, 9620, 607, 63311, 236772, 96871, 833, 210348, 3474, 1018, 107, 1018, 106862, 5790, 568, 19770, 236751, 900, 17354, 900, 7947, 29103, 62902, 138, 107, 236829, 99257, 236772, 1048, 63508, 138, 107, 236772, 132593, 704, 104388, 568, 236778, 236771, 4416, 1546, 5281, 236768, 138, 107, 236772, 6691, 21189, 568, 236770, 236771, 4448, 236786, 79130, 236768, 138, 107, 236772, 4819, 40027, 607, 88335, 76589, 568, 236800, 236771, 4416, 236768, 138, 107, 236772, 39332, 17195, 507, 607, 3774, 5370, 568, 236770, 236771, 68450, 236786, 2897, 236768, 138, 107, 236772, 57088, 25516, 236786, 18184, 60956, 568, 236770, 1322, 236768, 138, 108, 236770, 236761, 5213, 236796, 3464, 11761, 40129, 2139, 1018, 568, 236800, 236781, 236770, 236778, 236772, 236770, 236810, 236768, 138, 107, 139, 16907, 5096, 236787, 236743, 236778, 236798, 1813, 192776, 653, 27263, 607, 6249, 12016, 138, 107, 236778, 236761, 5213, 2740, 1181, 607, 69489, 14627, 1018, 568, 236800, 236781, 236800, 236771, 236751, 236768, 138, 107, 139, 16907, 5096, 236787, 152651, 43326, 653, 25829, 37931, 1208, 704, 1365, 12016, 138, 107, 236800, 236761, 5213, 165887, 15570, 7947, 1730, 565, 31303, 1018, 568, 236800, 236781, 236770, 236810, 236772, 236778, 236771, 236768, 138, 107, 139, 16907, 5096, 236787, 842, 4243, 29425, 15337, 19240, 531, 9048, 900, 1813, 8029, 12016, 138, 108, 1018, 180210, 225578, 568, 19503, 21307, 900, 17354, 62902, 138, 107, 236829, 99257, 236772, 1048, 63508, 138, 107, 236772, 51909, 1638, 6962, 236772, 1048, 7501, 138, 108, 236770, 236761, 5213, 227728, 507, 607, 152072, 88041, 1018, 568, 236800, 236781, 236770, 236771, 236772, 236770, 236778, 236786, 2897, 236768, 138, 107, 139, 16907, 5096, 236787, 236743, 236778, 236798, 192776, 653, 9772, 27263, 12016, 138, 107, 236778, 236761, 5213, 50981, 13438, 1954, 1018, 568, 236800, 236781, 236778, 236771, 236768, 138, 107, 139, 16907, 5096, 236787, 21007, 7972, 2197, 607, 9295, 573, 3825, 12016, 138, 107, 236800, 236761, 5213, 165887, 15570, 44457, 236772, 236776, 20764, 1018, 568, 236800, 236781, 236770, 236810, 236768, 138, 107, 139, 16907, 5096, 236787, 67843, 15337, 36216, 653, 35208, 4918, 699, 2255, 12406, 11945, 12016, 138, 108, 1018, 88674, 193098, 568, 13973, 21307, 61807, 62902, 138, 107, 236829, 99257, 236772, 1048, 63508, 138, 107, 236772, 51909, 1638, 6962, 236772, 1048, 7501, 138, 108, 236770, 236761, 5213, 51150, 208464, 1018, 568, 236800, 236781, 236828, 236772, 236770, 236771, 236768, 138, 107, 139, 16907, 5096, 236787, 39591, 32095, 16226, 653, 1813, 192776, 12016, 138, 107, 236778, 236761, 5213, 22373, 185439, 580, 69489, 14627, 1018, 568, 236800, 236781, 236778, 236771, 236751, 236786, 2897, 236768, 138, 107, 139, 16907, 5096, 236787, 191223, 236751, 580, 29919, 43326, 653, 31914, 12016, 138, 107, 236800, 236761, 5213, 199029, 103726, 1018, 568, 236800, 236781, 236770, 236771, 236768, 138, 107, 139, 16907, 5096, 236787, 29117, 535, 26339, 607, 1813, 8029, 12016, 138, 108, 7243, 108, 10354, 5213, 105947, 160928, 83685, 568, 19049, 117724, 62902, 138, 107, 1018, 243536, 126750, 41164, 187126, 1018, 138, 107, 236772, 47041, 8578, 14529, 16470, 52652, 568, 504, 3732, 236772, 5140, 9302, 236768, 138, 107, 236772, 81568, 8578, 5756, 65051, 568, 2543, 7972, 236768, 138, 107, 236772, 81568, 8578, 21222, 35688, 138, 107, 236772, 236743, 236770, 107072, 22027, 15003, 138, 107, 236772, 47041, 64434, 37675, 6762, 13950, 568, 31162, 236768, 138, 107, 236772, 81568, 8578, 1813, 653, 47195, 9556, 138, 107, 236772, 236743, 236778, 5756, 22892, 6895, 138, 107, 236829, 76503, 784, 13153, 236761, 4140, 21949, 768, 35688, 659, 24630, 9603, 138, 108, 1018, 251722, 19871, 20823, 27603, 204242, 1018, 138, 107, 236772, 236743, 236770, 52825, 61944, 568, 232176, 1131, 236743, 236812, 236775, 33227, 236768, 138, 107, 236772, 236743, 236778, 94580, 117625, 568, 8424, 1131, 236743, 236812, 236775, 9097, 236768, 138, 107, 236772, 236743, 236770, 8578, 30153, 29979, 568, 6052, 1872, 768, 2455, 236768, 138, 107, 236772, 81568, 8578, 171366, 568, 33508, 607, 5756, 46590, 236786, 574, 2031, 699, 7972, 236768, 138, 107, 236829, 89948, 76173, 1131, 171366, 236761, 175301, 607, 5442, 9551, 9603, 138, 108, 7243, 108, 10354, 5213, 20558, 80135, 111506, 1018, 138, 107, 1018, 19540, 89639, 33404, 1018, 138, 107, 236770, 236761, 5213, 42736, 66515, 138, 107, 139, 236772, 8600, 11312, 236787, 6809, 1109, 7578, 1109, 9904, 568, 236770, 236772, 236810, 236768, 1109, 24118, 138, 107, 139, 236772, 6890, 5774, 55163, 573, 623, 35741, 236775, 568, 236770, 236772, 236810, 236768, 138, 107, 139, 236772, 14297, 236772, 1896, 236787, 59504, 6354, 236769, 236776, 236778, 52715, 35309, 6354, 236769, 236799, 236778, 718, 206887, 165540, 5790, 26879, 236775, 1373, 236929, 138, 107, 236778, 236761, 5213, 15829, 10297, 66515, 870, 13185, 496, 11371, 529, 1174, 33404, 5457, 2574, 1411, 16546, 236761, 7239, 236761, 854, 236786, 47706, 57040, 236786, 236753, 236786, 236770, 236746, 154706, 236796, 27214, 138, 107, 236800, 236761, 5213, 16149, 607, 30467, 66515, 138, 107, 139, 236772, 8040, 236772, 3970, 7723, 60618, 568, 10671, 236768, 138, 107, 139, 236772, 5833, 14626, 82925, 573, 8492, 236743, 236825, 236787, 236800, 236771, 8711, 236764, 8224, 236743, 236828, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 6890, 623, 138180, 191961, 236775, 531, 8357, 15315, 2668, 568, 1192, 236768, 138, 108, 7243, 108, 38786, 611, 1133, 786, 531, 59638, 1027, 3336, 3342, 236881, 669, 45767, 7930, 740, 577, 34037, 607, 822, 12373, 34038, 236786, 87973, 111730, 573, 3823, 16074, 236888, 236743, 248072, 242980, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 68632, 496, 2777, 4009, 7073, 600, 59156, 14105, 28605, 607, 4532, 1610, 65733, 573, 1041, 10002, 4762, 236789, 236751, 10365, 236761, 3792, 236789, 236751, 1502, 684, 32187, 997, 60891, 9435, 59292, 531, 1460, 1061, 15154, 15067, 532, 4596, 118252, 236761, 4298, 236764, 1161, 506, 1903, 236743, 236800, 4596, 16616, 699, 600, 1262, 531, 3137, 19276, 1131, 910, 26545, 236761, 13472, 236764, 4071, 236772, 30449, 1724, 2536, 607, 997, 9175, 128345, 58106, 531, 1586, 48490, 15067, 236761, 564, 1461, 531, 2619, 496, 68324, 7545, 600, 236789, 859, 1386, 1023, 4762, 506, 817, 236772, 1071, 7075, 573, 18361, 1015, 2765, 1800, 37066, 14105, 57878, 532, 16627, 25075, 83426, 236761, 3792, 236789, 236751, 1460, 1144, 506, 1262, 3189, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9088, 1083, 623, 60891, 9435, 59292, 827, 623, 75884, 1083, 3714, 6725, 236779, 22487, 1083, 236743, 236770, 236828, 236819, 236771, 236771, 236771, 236764, 623, 28128, 236779, 56652, 1083, 236743, 236800, 236778, 236810, 236771, 236764, 623, 28128, 236779, 26329, 1083, 236743, 236770, 236812, 236810, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236828, 236778, 236764, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236828, 236764, 623, 10619, 236779, 19112, 1083, 11058, 236865, 60891, 58106, 827, 13659, 32899, 62529, 6367, 827, 13659, 175153, 1659, 525, 14255, 623, 58043, 236779, 28263, 1083, 3714, 71832, 236779, 45882, 1083, 10955, 236770, 236778, 70887, 623, 46858, 236779, 26514, 236779, 11283, 1083, 623, 30651, 827, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 8572, 1083, 623, 236778, 236810, 236772, 236812, 236810, 827, 623, 24385, 236779, 52447, 1083, 3714, 38667, 1083, 236743, 236832, 236778, 236764, 623, 40404, 1083, 236743, 236778, 236828, 1807, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9088, 1083, 623, 60891, 58106, 827, 623, 75884, 1083, 3714, 6725, 236779, 22487, 1083, 623, 236778, 236761, 236770, 236792, 827, 623, 18553, 236779, 56652, 236779, 721, 236779, 3274, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236764, 623, 18553, 236779, 26329, 236779, 721, 236779, 3274, 1083, 236743, 236812, 236828, 236771, 236764, 623, 3991, 236779, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 60891, 5771, 827, 13659, 60891, 53776, 665, 827, 13659, 60891, 90829, 14255, 623, 45882, 236779, 58043, 1083, 3714, 5455, 236779, 236800, 236771, 236779, 14356, 1083, 10955, 236770, 236828, 70887, 623, 5455, 236779, 236819, 236771, 236779, 14356, 1083, 10955, 236812, 236778, 171446, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 8572, 1083, 623, 236778, 236810, 236772, 236812, 236812, 827, 623, 24385, 236779, 52447, 1083, 3714, 38667, 1083, 623, 236825, 236828, 70887, 623, 40404, 1083, 623, 236800, 236778, 171446, 623, 234863, 236779, 11757, 1083, 11058, 60891, 3640, 4184, 827, 623, 69033, 827, 623, 202633, 152254, 623, 92506, 236779, 46858, 236779, 3841, 1083, 11058, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 123057, 827, 623, 236825, 236787, 236771, 236771, 8711, 753, 236743, 236828, 236787, 236771, 236771, 8711, 123057, 14255, 623, 3991, 236779, 3955, 236779, 9846, 1083, 11058, 86766, 236779, 20593, 827, 623, 230586, 827, 623, 6047, 236779, 57534, 1935, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9088, 1083, 623, 32899, 62529, 6367, 827, 623, 75884, 1083, 3714, 6725, 236779, 22487, 1083, 623, 236778, 236761, 236770, 236792, 827, 623, 18553, 236779, 56652, 236779, 721, 236779, 3274, 1083, 623, 236812, 236810, 236761, 236778, 236855, 827, 623, 45882, 236779, 4720, 1083, 10955, 236770, 236828, 236908, 13822, 827, 623, 3991, 236779, 10619, 236779, 19112, 1083, 11058, 236865, 215507, 1659, 525, 827, 13659, 62529, 6367, 58106, 827, 13659, 32899, 215507, 14255, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 8572, 1083, 623, 236778, 236810, 236772, 236812, 236771, 827, 623, 24385, 236779, 52447, 1083, 3714, 38667, 1083, 623, 236832, 236778, 70887, 623, 40404, 1083, 623, 236778, 236828, 171446, 623, 234863, 236779, 188357, 1083, 11058, 3118, 4257, 827, 623, 41210, 10958, 827, 623, 44567, 152254, 623, 92506, 236779, 231787, 1083, 3714, 46858, 236779, 26514, 236779, 3841, 1083, 11058, 27962, 2068, 236743, 236770, 236771, 1936, 236772, 236770, 236778, 10192, 827, 623, 14986, 1013, 236743, 236832, 10192, 236772, 236819, 10192, 14255, 623, 221174, 236779, 1020, 14493, 1083, 11058, 13743, 2033, 5984, 3409, 827, 623, 120298, 32549, 1935, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9088, 1083, 623, 175153, 1659, 525, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236828, 236819, 236778, 236800, 236812, 236810, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 236797, 59264, 139734, 827, 13659, 3912, 55339, 8444, 1506, 827, 13659, 1869, 30714, 5771, 14255, 623, 92506, 236779, 4720, 1083, 236743, 236812, 236761, 236832, 236764, 623, 3991, 236779, 22487, 1083, 78493, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 31348, 236770, 236778, 236800, 827, 623, 56652, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236764, 623, 26329, 1083, 236743, 236800, 236812, 236810, 1263, 3714, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 50526, 236812, 236810, 236825, 827, 623, 56652, 1083, 236743, 236770, 236800, 236828, 236771, 236771, 236764, 623, 26329, 1083, 236743, 236778, 236819, 236828, 1263, 3714, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 236823, 26722, 236832, 236828, 236819, 827, 623, 56652, 1083, 236743, 236770, 236778, 236832, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236778, 236825, 236832, 104960, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 8572, 1083, 623, 236778, 236810, 236772, 236812, 236771, 827, 623, 24385, 236779, 52447, 1083, 3714, 38667, 1083, 236743, 236832, 236828, 236764, 623, 40404, 1083, 236743, 236778, 236778, 1263, 623, 7125, 236779, 3991, 1083, 623, 80409, 236764, 8288, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9088, 1083, 623, 9175, 128345, 58106, 827, 623, 6725, 236779, 22487, 1083, 623, 236770, 236761, 236778, 236792, 827, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236832, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 32899, 9175, 827, 13659, 60891, 146942, 827, 13659, 9175, 3316, 58106, 14255, 623, 92506, 236779, 4720, 1083, 623, 236812, 236761, 236778, 70887, 623, 145644, 236779, 22487, 1083, 78493, 547, 1083, 623, 236832, 236781, 236819, 236751, 236774, 236809, 236778, 827, 623, 56652, 1083, 623, 236770, 236810, 236778, 236767, 827, 623, 26329, 1083, 623, 236800, 236764, 236812, 236771, 236771, 23179, 3714, 547, 1083, 623, 236798, 212952, 236778, 236757, 236811, 236828, 827, 623, 56652, 1083, 623, 236819, 236828, 236767, 827, 623, 26329, 1083, 623, 236778, 236764, 236770, 236771, 236771, 25938, 1604, 623, 152303, 236779, 108575, 1083, 3714, 236865, 60891, 9435, 59292, 1083, 623, 236825, 236800, 236908, 7659, 9998, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 14971, 25890, 573, 66051, 14105, 28605, 532, 4532, 1610, 65733, 580, 10365, 236787, 108, 1018, 236770, 236761, 17354, 161840, 582, 159669, 53121, 107, 236772, 5213, 60891, 11032, 53121, 997, 60891, 9435, 59292, 568, 236832, 236828, 236855, 12714, 236786, 1289, 236768, 900, 997, 60891, 146942, 568, 236825, 236800, 236908, 28981, 607, 1610, 9998, 236768, 107, 236772, 5213, 9175, 3316, 20090, 53121, 997, 9175, 128345, 58106, 568, 236812, 236761, 236778, 236908, 15154, 236768, 900, 997, 32899, 9175, 568, 3991, 4596, 531, 1800, 236768, 107, 236772, 5213, 131022, 208202, 53121, 997, 60891, 9175, 5771, 997, 146942, 5191, 1713, 9175, 997, 62529, 6367, 79262, 20143, 108, 1018, 236778, 236761, 79127, 161840, 4073, 53121, 107, 236772, 5213, 4663, 43633, 19791, 53121, 997, 32899, 62529, 6367, 568, 236812, 236810, 236761, 236778, 236855, 34561, 15975, 236768, 900, 997, 3912, 55339, 8444, 1506, 568, 1708, 25260, 14105, 5022, 236768, 107, 236772, 5213, 2866, 236772, 182638, 53121, 997, 13743, 59292, 568, 221174, 38679, 236768, 900, 997, 191590, 236847, 748, 507, 568, 92506, 11519, 236768, 107, 236772, 5213, 8551, 9814, 53121, 997, 69033, 1659, 525, 997, 202633, 9175, 26552, 997, 80409, 62529, 6367, 108, 1018, 236800, 236761, 16748, 34428, 53121, 107, 236772, 5213, 7118, 121722, 53121, 30235, 580, 236743, 236770, 236771, 1936, 236772, 236770, 236778, 10192, 123057, 568, 60891, 11519, 236768, 900, 236743, 236832, 10192, 236772, 236819, 10192, 123057, 568, 48581, 6367, 15154, 236768, 107, 236772, 5213, 4795, 29785, 53121, 107, 138, 236772, 236743, 236812, 236771, 236908, 163636, 3863, 18838, 607, 4532, 1610, 24482, 107, 138, 236772, 236743, 236800, 236771, 236908, 35208, 52379, 66051, 187557, 57005, 607, 7628, 11710, 107, 138, 236772, 236743, 236778, 236771, 236908, 55815, 236772, 1437, 236772, 85151, 11452, 14845, 607, 14105, 11421, 107, 138, 236772, 236743, 236770, 236771, 236908, 121463, 18482, 5103, 236789, 623, 60891, 1610, 236775, 9952, 108, 1018, 236812, 236761, 12713, 236772, 180618, 62503, 53121, 107, 236772, 32300, 607, 997, 32899, 62529, 6367, 77952, 573, 623, 9175, 528, 506, 17694, 236775, 1769, 34106, 107, 236772, 8600, 997, 9175, 128345, 58106, 1385, 17133, 18482, 14105, 112182, 107, 236772, 23949, 9144, 28023, 607, 997, 60891, 90829, 44100, 10299, 4532, 1610, 8403, 108, 1018, 236810, 236761, 35438, 30235, 53121, 107, 236772, 26295, 236743, 236825, 236800, 236908, 7659, 9998, 1534, 997, 60891, 9435, 59292, 532, 997, 9175, 128345, 58106, 107, 236772, 30452, 997, 32899, 62529, 6367, 236789, 236751, 900, 236770, 236828, 236908, 13822, 3877, 573, 60194, 3004, 107, 236772, 6890, 997, 175153, 1659, 525, 236789, 236751, 10964, 49149, 568, 236778, 236828, 236908, 529, 1903, 11024, 236768, 573, 10969, 24742, 108, 38786, 611, 1133, 786, 531, 59638, 1027, 3530, 6084, 529, 672, 7545, 653, 3213, 580, 2931, 19455, 573, 822, 10002, 4762, 236789, 236751, 8688, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 68632, 496, 2777, 4009, 7073, 600, 59156, 14105, 28605, 607, 4532, 1610, 65733, 573, 1041, 10002, 4762, 236789, 236751, 10365, 236761, 3792, 236789, 236751, 1502, 684, 32187, 997, 60891, 9435, 59292, 531, 1460, 1061, 15154, 15067, 532, 4596, 118252, 236761, 4298, 236764, 1161, 506, 1903, 236743, 236800, 4596, 16616, 699, 600, 1262, 531, 3137, 19276, 1131, 910, 26545, 236761, 13472, 236764, 4071, 236772, 30449, 1724, 2536, 607, 997, 9175, 128345, 58106, 531, 1586, 48490, 15067, 236761, 564, 1461, 531, 2619, 496, 68324, 7545, 600, 236789, 859, 1386, 1023, 4762, 506, 817, 236772, 1071, 7075, 573, 18361, 1015, 2765, 1800, 37066, 14105, 57878, 532, 16627, 25075, 83426, 236761, 3792, 236789, 236751, 1460, 1144, 506, 1262, 3189, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9088, 1083, 623, 60891, 9435, 59292, 827, 623, 75884, 1083, 3714, 6725, 236779, 22487, 1083, 236743, 236770, 236828, 236819, 236771, 236771, 236771, 236764, 623, 28128, 236779, 56652, 1083, 236743, 236800, 236778, 236810, 236771, 236764, 623, 28128, 236779, 26329, 1083, 236743, 236770, 236812, 236810, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236828, 236778, 236764, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236828, 236764, 623, 10619, 236779, 19112, 1083, 11058, 236865, 60891, 58106, 827, 13659, 32899, 62529, 6367, 827, 13659, 175153, 1659, 525, 14255, 623, 58043, 236779, 28263, 1083, 3714, 71832, 236779, 45882, 1083, 10955, 236770, 236778, 70887, 623, 46858, 236779, 26514, 236779, 11283, 1083, 623, 30651, 827, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 8572, 1083, 623, 236778, 236810, 236772, 236812, 236810, 827, 623, 24385, 236779, 52447, 1083, 3714, 38667, 1083, 236743, 236832, 236778, 236764, 623, 40404, 1083, 236743, 236778, 236828, 1807, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9088, 1083, 623, 60891, 58106, 827, 623, 75884, 1083, 3714, 6725, 236779, 22487, 1083, 623, 236778, 236761, 236770, 236792, 827, 623, 18553, 236779, 56652, 236779, 721, 236779, 3274, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236764, 623, 18553, 236779, 26329, 236779, 721, 236779, 3274, 1083, 236743, 236812, 236828, 236771, 236764, 623, 3991, 236779, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 60891, 5771, 827, 13659, 60891, 53776, 665, 827, 13659, 60891, 90829, 14255, 623, 45882, 236779, 58043, 1083, 3714, 5455, 236779, 236800, 236771, 236779, 14356, 1083, 10955, 236770, 236828, 70887, 623, 5455, 236779, 236819, 236771, 236779, 14356, 1083, 10955, 236812, 236778, 171446, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 8572, 1083, 623, 236778, 236810, 236772, 236812, 236812, 827, 623, 24385, 236779, 52447, 1083, 3714, 38667, 1083, 623, 236825, 236828, 70887, 623, 40404, 1083, 623, 236800, 236778, 171446, 623, 234863, 236779, 11757, 1083, 11058, 60891, 3640, 4184, 827, 623, 69033, 827, 623, 202633, 152254, 623, 92506, 236779, 46858, 236779, 3841, 1083, 11058, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 123057, 827, 623, 236825, 236787, 236771, 236771, 8711, 753, 236743, 236828, 236787, 236771, 236771, 8711, 123057, 14255, 623, 3991, 236779, 3955, 236779, 9846, 1083, 11058, 86766, 236779, 20593, 827, 623, 230586, 827, 623, 6047, 236779, 57534, 1935, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9088, 1083, 623, 32899, 62529, 6367, 827, 623, 75884, 1083, 3714, 6725, 236779, 22487, 1083, 623, 236778, 236761, 236770, 236792, 827, 623, 18553, 236779, 56652, 236779, 721, 236779, 3274, 1083, 623, 236812, 236810, 236761, 236778, 236855, 827, 623, 45882, 236779, 4720, 1083, 10955, 236770, 236828, 236908, 13822, 827, 623, 3991, 236779, 10619, 236779, 19112, 1083, 11058, 236865, 215507, 1659, 525, 827, 13659, 62529, 6367, 58106, 827, 13659, 32899, 215507, 14255, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 8572, 1083, 623, 236778, 236810, 236772, 236812, 236771, 827, 623, 24385, 236779, 52447, 1083, 3714, 38667, 1083, 623, 236832, 236778, 70887, 623, 40404, 1083, 623, 236778, 236828, 171446, 623, 234863, 236779, 188357, 1083, 11058, 3118, 4257, 827, 623, 41210, 10958, 827, 623, 44567, 152254, 623, 92506, 236779, 231787, 1083, 3714, 46858, 236779, 26514, 236779, 3841, 1083, 11058, 27962, 2068, 236743, 236770, 236771, 1936, 236772, 236770, 236778, 10192, 827, 623, 14986, 1013, 236743, 236832, 10192, 236772, 236819, 10192, 14255, 623, 221174, 236779, 1020, 14493, 1083, 11058, 13743, 2033, 5984, 3409, 827, 623, 120298, 32549, 1935, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9088, 1083, 623, 175153, 1659, 525, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236828, 236819, 236778, 236800, 236812, 236810, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 236797, 59264, 139734, 827, 13659, 3912, 55339, 8444, 1506, 827, 13659, 1869, 30714, 5771, 14255, 623, 92506, 236779, 4720, 1083, 236743, 236812, 236761, 236832, 236764, 623, 3991, 236779, 22487, 1083, 78493, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 31348, 236770, 236778, 236800, 827, 623, 56652, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236764, 623, 26329, 1083, 236743, 236800, 236812, 236810, 1263, 3714, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 50526, 236812, 236810, 236825, 827, 623, 56652, 1083, 236743, 236770, 236800, 236828, 236771, 236771, 236764, 623, 26329, 1083, 236743, 236778, 236819, 236828, 1263, 3714, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 236823, 26722, 236832, 236828, 236819, 827, 623, 56652, 1083, 236743, 236770, 236778, 236832, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236778, 236825, 236832, 104960, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 8572, 1083, 623, 236778, 236810, 236772, 236812, 236771, 827, 623, 24385, 236779, 52447, 1083, 3714, 38667, 1083, 236743, 236832, 236828, 236764, 623, 40404, 1083, 236743, 236778, 236778, 1263, 623, 7125, 236779, 3991, 1083, 623, 80409, 236764, 8288, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9088, 1083, 623, 9175, 128345, 58106, 827, 623, 6725, 236779, 22487, 1083, 623, 236770, 236761, 236778, 236792, 827, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236832, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 32899, 9175, 827, 13659, 60891, 146942, 827, 13659, 9175, 3316, 58106, 14255, 623, 92506, 236779, 4720, 1083, 623, 236812, 236761, 236778, 70887, 623, 145644, 236779, 22487, 1083, 78493, 547, 1083, 623, 236832, 236781, 236819, 236751, 236774, 236809, 236778, 827, 623, 56652, 1083, 623, 236770, 236810, 236778, 236767, 827, 623, 26329, 1083, 623, 236800, 236764, 236812, 236771, 236771, 23179, 3714, 547, 1083, 623, 236798, 212952, 236778, 236757, 236811, 236828, 827, 623, 56652, 1083, 623, 236819, 236828, 236767, 827, 623, 26329, 1083, 623, 236778, 236764, 236770, 236771, 236771, 25938, 1604, 623, 152303, 236779, 108575, 1083, 3714, 236865, 60891, 9435, 59292, 1083, 623, 236825, 236800, 236908, 7659, 9998, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 14971, 25890, 573, 66051, 14105, 28605, 532, 4532, 1610, 65733, 580, 10365, 236787, 108, 1018, 236770, 236761, 17354, 161840, 582, 159669, 53121, 107, 236772, 5213, 60891, 11032, 53121, 997, 60891, 9435, 59292, 568, 236832, 236828, 236855, 12714, 236786, 1289, 236768, 900, 997, 60891, 146942, 568, 236825, 236800, 236908, 28981, 607, 1610, 9998, 236768, 107, 236772, 5213, 9175, 3316, 20090, 53121, 997, 9175, 128345, 58106, 568, 236812, 236761, 236778, 236908, 15154, 236768, 900, 997, 32899, 9175, 568, 3991, 4596, 531, 1800, 236768, 107, 236772, 5213, 131022, 208202, 53121, 997, 60891, 9175, 5771, 997, 146942, 5191, 1713, 9175, 997, 62529, 6367, 79262, 20143, 108, 1018, 236778, 236761, 79127, 161840, 4073, 53121, 107, 236772, 5213, 4663, 43633, 19791, 53121, 997, 32899, 62529, 6367, 568, 236812, 236810, 236761, 236778, 236855, 34561, 15975, 236768, 900, 997, 3912, 55339, 8444, 1506, 568, 1708, 25260, 14105, 5022, 236768, 107, 236772, 5213, 2866, 236772, 182638, 53121, 997, 13743, 59292, 568, 221174, 38679, 236768, 900, 997, 191590, 236847, 748, 507, 568, 92506, 11519, 236768, 107, 236772, 5213, 8551, 9814, 53121, 997, 69033, 1659, 525, 997, 202633, 9175, 26552, 997, 80409, 62529, 6367, 108, 1018, 236800, 236761, 16748, 34428, 53121, 107, 236772, 5213, 7118, 121722, 53121, 30235, 580, 236743, 236770, 236771, 1936, 236772, 236770, 236778, 10192, 123057, 568, 60891, 11519, 236768, 900, 236743, 236832, 10192, 236772, 236819, 10192, 123057, 568, 48581, 6367, 15154, 236768, 107, 236772, 5213, 4795, 29785, 53121, 107, 138, 236772, 236743, 236812, 236771, 236908, 163636, 3863, 18838, 607, 4532, 1610, 24482, 107, 138, 236772, 236743, 236800, 236771, 236908, 35208, 52379, 66051, 187557, 57005, 607, 7628, 11710, 107, 138, 236772, 236743, 236778, 236771, 236908, 55815, 236772, 1437, 236772, 85151, 11452, 14845, 607, 14105, 11421, 107, 138, 236772, 236743, 236770, 236771, 236908, 121463, 18482, 5103, 236789, 623, 60891, 1610, 236775, 9952, 108, 1018, 236812, 236761, 12713, 236772, 180618, 62503, 53121, 107, 236772, 32300, 607, 997, 32899, 62529, 6367, 77952, 573, 623, 9175, 528, 506, 17694, 236775, 1769, 34106, 107, 236772, 8600, 997, 9175, 128345, 58106, 1385, 17133, 18482, 14105, 112182, 107, 236772, 23949, 9144, 28023, 607, 997, 60891, 90829, 44100, 10299, 4532, 1610, 8403, 108, 1018, 236810, 236761, 35438, 30235, 53121, 107, 236772, 26295, 236743, 236825, 236800, 236908, 7659, 9998, 1534, 997, 60891, 9435, 59292, 532, 997, 9175, 128345, 58106, 107, 236772, 30452, 997, 32899, 62529, 6367, 236789, 236751, 900, 236770, 236828, 236908, 13822, 3877, 573, 60194, 3004, 107, 236772, 6890, 997, 175153, 1659, 525, 236789, 236751, 10964, 49149, 568, 236778, 236828, 236908, 529, 1903, 11024, 236768, 573, 10969, 24742, 108, 38786, 611, 1133, 786, 531, 59638, 1027, 3530, 6084, 529, 672, 7545, 653, 3213, 580, 2931, 19455, 573, 822, 10002, 4762, 236789, 236751, 8688, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 1900, 496, 19406, 573, 786, 699, 506, 20480, 19406, 1977, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 6361, 607, 24121, 19406, 653, 42788, 8398, 3019, 236761, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 1977, 10400, 653, 12740, 607, 2780, 8341, 14175, 236761, 1599, 2473, 1461, 531, 1161, 496, 2780, 8341, 850, 653, 4456, 531, 1977, 822, 19406, 1900, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 1900, 496, 19406, 573, 786, 699, 506, 20480, 19406, 1977, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 6361, 607, 24121, 19406, 653, 42788, 8398, 3019, 236761, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 1977, 10400, 653, 12740, 607, 2780, 8341, 14175, 236761, 1599, 2473, 1461, 531, 1161, 496, 2780, 8341, 850, 653, 4456, 531, 1977, 822, 19406, 1900, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 573, 496, 1535, 3653, 6387, 531, 4526, 20564, 236761, 7129, 15136, 236881, 106, 107, 105, 4368, 107, 2021, 5840, 496, 3653, 6387, 600, 19009, 822, 22195, 236764, 564, 1202, 531, 1281, 506, 7081, 14470, 611, 236789, 236753, 1133, 236761, 1701, 2591, 236764, 1093, 611, 5278, 13154, 25118, 236743, 236832, 236761, 236810, 653, 3715, 236764, 653, 496, 1607, 14272, 236881, 3792, 786, 1281, 236888, 106, 107, 105, 2364, 107, 10784, 236764, 657, 3198, 236743, 236828, 236761, 236771, 580, 94345, 236761, 77773, 2613, 607, 3188, 14971, 4820, 236764, 7463, 2721, 580, 1759, 11858, 4749, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 85038, 847, 1083, 78493, 3250, 1083, 623, 76652, 19782, 20953, 827, 623, 13126, 1083, 236743, 236828, 236761, 236825, 236764, 623, 7777, 1083, 623, 236776, 100804, 98195, 529, 506, 622, 236772, 13265, 28650, 532, 496, 9017, 531, 5383, 496, 31451, 236789, 236751, 19340, 236764, 58442, 18487, 17262, 11298, 532, 506, 3246, 2157, 529, 3653, 221476, 3714, 3250, 1083, 623, 13790, 126323, 236789, 236751, 4361, 827, 623, 13126, 1083, 236743, 236828, 236761, 236819, 236764, 623, 7777, 1083, 623, 22515, 580, 1847, 4749, 236764, 672, 4103, 138196, 173892, 215995, 236789, 236751, 14971, 7880, 531, 5383, 26560, 1913, 506, 69484, 236764, 66051, 11858, 10634, 607, 27725, 16643, 165573, 221476, 3714, 3250, 1083, 623, 236796, 4984, 12252, 827, 623, 13126, 1083, 236743, 236828, 236761, 236771, 236764, 623, 7777, 1083, 623, 236776, 54817, 236764, 1759, 236772, 2289, 88807, 529, 506, 100445, 71539, 657, 78160, 12252, 236764, 79720, 14971, 7820, 9886, 532, 16671, 2342, 26787, 26844, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 3653, 6387, 15136, 600, 2874, 822, 13138, 568, 2783, 21845, 14470, 57846, 236743, 236828, 236761, 236771, 532, 2721, 580, 1759, 11858, 4749, 607, 14971, 4820, 1473, 108, 236772, 5213, 76652, 19782, 20953, 1018, 568, 236828, 236761, 236825, 1473, 562, 100804, 98195, 529, 506, 622, 236772, 13265, 28650, 532, 496, 9017, 531, 5383, 496, 31451, 236789, 236751, 19340, 236764, 58442, 18487, 17262, 11298, 532, 506, 3246, 2157, 529, 3653, 236761, 138, 107, 236772, 5213, 13790, 126323, 236789, 236751, 4361, 1018, 568, 236828, 236761, 236819, 1473, 18186, 580, 1847, 4749, 236764, 672, 4103, 138196, 173892, 215995, 236789, 236751, 14971, 7880, 531, 5383, 26560, 1913, 506, 69484, 236764, 66051, 11858, 10634, 607, 27725, 16643, 165573, 236761, 138, 107, 236772, 5213, 236796, 4984, 12252, 1018, 568, 236828, 236761, 236771, 1473, 562, 54817, 236764, 1759, 236772, 2289, 88807, 529, 506, 100445, 71539, 657, 78160, 12252, 236764, 79720, 14971, 7820, 9886, 532, 16671, 2342, 26787, 26844, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 919, 4889, 1003, 1027, 529, 1239, 653, 768, 611, 735, 1032, 22195, 236888, 106, 107, 105, 2364, 107, 236796, 4984, 12252, 5072, 1133, 496, 1535, 5313, 236761, 28344, 611, 4024, 919, 1003, 506, 14971, 9886, 1603, 1913, 506, 5396, 71539, 532, 1217, 506, 6387, 56385, 1091, 236881, 564, 236789, 236757, 6412, 7467, 528, 506, 26937, 1534, 506, 7820, 532, 41880, 7880, 236761, 106, 107, 105, 4368, 107, 818, 78160, 12252, 71539, 568, 16004, 134145, 236768, 528, 3353, 236772, 27403, 236743, 236770, 236819, 236812, 236771, 691, 496, 63193, 3479, 528, 100445, 236764, 1298, 1024, 236743, 236800, 236800, 236828, 236764, 236771, 236771, 236771, 73070, 20386, 964, 56975, 699, 506, 28439, 529, 78160, 12252, 236764, 7001, 236764, 1208, 18487, 9115, 4204, 236761, 5715, 236789, 236751, 1217, 506, 14971, 9886, 532, 7820, 236772, 97919, 1037, 26937, 113938, 236764, 532, 1217, 28572, 85635, 236789, 236751, 808, 236796, 4984, 12252, 236829, 568, 236778, 236771, 236770, 236832, 236768, 114224, 1091, 236787, 108, 7243, 108, 10354, 5213, 3503, 47746, 112189, 1018, 107, 236770, 236761, 5213, 818, 623, 30413, 78368, 236775, 40434, 1018, 138, 107, 139, 236772, 5213, 100368, 17605, 66515, 669, 12194, 22577, 14877, 34554, 531, 125703, 20386, 2779, 531, 28855, 14513, 3541, 506, 28439, 236764, 837, 30334, 2455, 179163, 699, 29220, 236761, 2282, 8974, 672, 236764, 506, 7222, 3251, 10713, 614, 32034, 2246, 573, 41880, 17735, 568, 236762, 98571, 236764, 13763, 20896, 236764, 1972, 57876, 236764, 4044, 2907, 531, 40916, 18187, 699, 506, 20015, 531, 6268, 19916, 39572, 236761, 7178, 236743, 236832, 236771, 236771, 2147, 20896, 19398, 506, 2246, 236764, 10425, 22799, 16271, 529, 41880, 236772, 98973, 17537, 236761, 107, 139, 236772, 5213, 20069, 3827, 4693, 66515, 85635, 58811, 672, 1343, 7579, 1133, 3186, 236761, 68153, 568, 10666, 630, 1542, 831, 779, 1015, 50766, 616, 914, 2147, 41264, 808, 74361, 11937, 236829, 531, 4071, 506, 5422, 21518, 236761, 669, 4103, 3831, 41880, 20896, 67112, 10701, 14517, 532, 9115, 2634, 13120, 531, 22661, 18187, 72872, 580, 506, 28439, 236764, 41671, 910, 6749, 3853, 528, 506, 71539, 236761, 108, 236778, 236761, 5213, 818, 62000, 568, 94348, 236768, 34428, 1018, 138, 107, 139, 236772, 5213, 100368, 17605, 66515, 669, 78160, 12252, 45694, 236858, 236751, 6050, 568, 236746, 1440, 12625, 15659, 236768, 5452, 496, 12763, 13317, 1523, 573, 20386, 236761, 18565, 1646, 496, 8355, 3328, 573, 9115, 131807, 236764, 625, 6208, 11442, 39311, 567, 1082, 506, 28439, 236761, 45526, 10195, 1133, 43224, 8966, 44223, 638, 42748, 506, 1161, 529, 506, 6050, 531, 29893, 9286, 236761, 107, 139, 236772, 5213, 20069, 3827, 4693, 66515, 669, 4103, 236858, 236751, 2601, 236772, 5140, 75553, 568, 146667, 236858, 236751, 11521, 236768, 3831, 18187, 9495, 528, 1757, 580, 506, 6050, 1208, 4512, 19658, 128240, 236761, 669, 31341, 529, 13317, 20386, 8990, 9867, 616, 1651, 31983, 48011, 104811, 506, 1494, 236772, 119035, 26937, 3149, 236761, 108, 236800, 236761, 5213, 118462, 5661, 20864, 1018, 138, 107, 139, 236772, 5213, 100368, 17605, 66515, 669, 12194, 5661, 15150, 568, 118462, 236768, 6657, 496, 13832, 3853, 528, 71323, 506, 71539, 699, 197982, 13120, 236761, 233249, 38231, 29167, 699, 19170, 528, 15891, 7591, 236764, 3187, 607, 5809, 7611, 236764, 531, 3856, 506, 28439, 532, 19916, 236761, 9963, 7880, 964, 12763, 840, 3187, 81619, 684, 3866, 20386, 236764, 5830, 531, 126692, 1013, 1003, 910, 12416, 236761, 107, 139, 236772, 5213, 20069, 3827, 4693, 66515, 669, 2634, 34315, 568, 175339, 11282, 5804, 236764, 6657, 684, 8460, 56865, 236768, 3831, 103343, 46058, 21964, 9115, 23449, 5453, 236772, 1404, 236764, 607, 18583, 529, 7611, 55943, 532, 4799, 236760, 4821, 236761, 669, 4103, 164552, 600, 506, 103343, 236858, 236751, 6219, 691, 6749, 236764, 1581, 768, 3866, 20386, 3782, 236858, 236745, 2462, 1460, 1091, 236761, 108, 236812, 236761, 5213, 236775, 818, 93416, 529, 78160, 12252, 236775, 1018, 138, 107, 139, 236772, 5213, 100368, 17605, 66515, 669, 71539, 691, 14877, 4275, 531, 5383, 1186, 236743, 236800, 236771, 236764, 236771, 236771, 236771, 236964, 236812, 236810, 236764, 236771, 236771, 236771, 1758, 236761, 14935, 176223, 236764, 10319, 236764, 532, 37501, 13699, 236764, 506, 5585, 56975, 1024, 236743, 236800, 236800, 236828, 236764, 236771, 236771, 236771, 20386, 237028, 236746, 15328, 4542, 95356, 236761, 1174, 5012, 13859, 1534, 506, 22577, 236764, 13325, 236764, 103343, 236764, 532, 41880, 21736, 236761, 107, 139, 236772, 5213, 20069, 3827, 4693, 66515, 85635, 236858, 236751, 1908, 236772, 11402, 54491, 568, 1591, 236786, 15457, 236786, 1404, 90353, 86960, 236768, 44066, 506, 89144, 236764, 32585, 9496, 529, 506, 71539, 236761, 669, 4103, 236858, 236751, 89093, 3831, 18187, 54788, 19916, 1651, 51884, 532, 7820, 14146, 981, 528, 155207, 236764, 16548, 607, 506, 9639, 14993, 236787, 165996, 1882, 236858, 859, 6093, 1091, 580, 506, 28439, 24002, 236829, 568, 77692, 644, 236858, 236751, 10808, 779, 61842, 78160, 12252, 618, 496, 623, 177799, 831, 236775, 600, 27750, 15602, 236858, 236751, 5596, 531, 4102, 506, 3653, 236761, 108, 7243, 108, 10354, 5213, 69662, 1037, 236772, 103908, 103663, 528, 506, 17069, 1018, 107, 236772, 5213, 20235, 1929, 7178, 116677, 504, 1854, 66515, 669, 6387, 69281, 78670, 11814, 1229, 236764, 5205, 19541, 580, 506, 71202, 532, 176223, 529, 12822, 1331, 236761, 1701, 2591, 236764, 506, 41880, 9909, 48401, 659, 3505, 618, 134647, 840, 711, 221787, 237028, 19256, 1386, 23153, 236764, 532, 3496, 3392, 16643, 165573, 568, 236744, 236761, 236759, 1126, 68153, 236858, 236751, 2369, 44023, 3363, 531, 22661, 9115, 18187, 769, 107, 236772, 5213, 80684, 74850, 66515, 669, 4103, 20756, 506, 6220, 529, 54809, 4991, 1913, 506, 71539, 236761, 82409, 580, 506, 7642, 3187, 3782, 236858, 236745, 1281, 1144, 691, 13922, 236764, 532, 41880, 21736, 38586, 580, 3658, 236772, 1340, 236772, 25056, 11808, 236761, 1174, 44066, 11858, 10789, 529, 506, 5585, 236858, 236751, 864, 31108, 236764, 837, 691, 18182, 1343, 65618, 17358, 236761, 107, 236772, 5213, 50384, 183014, 66515, 144223, 1133, 506, 808, 74361, 11937, 236829, 185108, 18187, 699, 496, 62540, 166101, 1407, 1217, 51884, 532, 7820, 14146, 38586, 580, 1546, 1032, 236761, 669, 4103, 236858, 236751, 5057, 1702, 568, 236744, 236761, 236759, 1126, 506, 119062, 11072, 44366, 236768, 104811, 506, 60055, 529, 1418, 1855, 236764, 79720, 600, 16671, 71953, 580, 19399, 2970, 236761, 108, 7243, 108, 2859, 611, 236789, 236753, 1133, 236764, 564, 740, 992, 4024, 11858, 7021, 653, 3530, 18583, 699, 506, 4103, 600, 26756, 1239, 3298, 236888, 3792, 786, 1281, 236761, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 573, 496, 1535, 3653, 6387, 531, 4526, 20564, 236761, 7129, 15136, 236881, 106, 107, 105, 4368, 107, 2021, 5840, 496, 3653, 6387, 600, 19009, 822, 22195, 236764, 564, 1202, 531, 1281, 506, 7081, 14470, 611, 236789, 236753, 1133, 236761, 1701, 2591, 236764, 1093, 611, 5278, 13154, 25118, 236743, 236832, 236761, 236810, 653, 3715, 236764, 653, 496, 1607, 14272, 236881, 3792, 786, 1281, 236888, 106, 107, 105, 2364, 107, 10784, 236764, 657, 3198, 236743, 236828, 236761, 236771, 580, 94345, 236761, 77773, 2613, 607, 3188, 14971, 4820, 236764, 7463, 2721, 580, 1759, 11858, 4749, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 85038, 847, 1083, 78493, 3250, 1083, 623, 76652, 19782, 20953, 827, 623, 13126, 1083, 236743, 236828, 236761, 236825, 236764, 623, 7777, 1083, 623, 236776, 100804, 98195, 529, 506, 622, 236772, 13265, 28650, 532, 496, 9017, 531, 5383, 496, 31451, 236789, 236751, 19340, 236764, 58442, 18487, 17262, 11298, 532, 506, 3246, 2157, 529, 3653, 221476, 3714, 3250, 1083, 623, 13790, 126323, 236789, 236751, 4361, 827, 623, 13126, 1083, 236743, 236828, 236761, 236819, 236764, 623, 7777, 1083, 623, 22515, 580, 1847, 4749, 236764, 672, 4103, 138196, 173892, 215995, 236789, 236751, 14971, 7880, 531, 5383, 26560, 1913, 506, 69484, 236764, 66051, 11858, 10634, 607, 27725, 16643, 165573, 221476, 3714, 3250, 1083, 623, 236796, 4984, 12252, 827, 623, 13126, 1083, 236743, 236828, 236761, 236771, 236764, 623, 7777, 1083, 623, 236776, 54817, 236764, 1759, 236772, 2289, 88807, 529, 506, 100445, 71539, 657, 78160, 12252, 236764, 79720, 14971, 7820, 9886, 532, 16671, 2342, 26787, 26844, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 1070, 3653, 6387, 15136, 600, 2874, 822, 13138, 568, 2783, 21845, 14470, 57846, 236743, 236828, 236761, 236771, 532, 2721, 580, 1759, 11858, 4749, 607, 14971, 4820, 1473, 108, 236772, 5213, 76652, 19782, 20953, 1018, 568, 236828, 236761, 236825, 1473, 562, 100804, 98195, 529, 506, 622, 236772, 13265, 28650, 532, 496, 9017, 531, 5383, 496, 31451, 236789, 236751, 19340, 236764, 58442, 18487, 17262, 11298, 532, 506, 3246, 2157, 529, 3653, 236761, 138, 107, 236772, 5213, 13790, 126323, 236789, 236751, 4361, 1018, 568, 236828, 236761, 236819, 1473, 18186, 580, 1847, 4749, 236764, 672, 4103, 138196, 173892, 215995, 236789, 236751, 14971, 7880, 531, 5383, 26560, 1913, 506, 69484, 236764, 66051, 11858, 10634, 607, 27725, 16643, 165573, 236761, 138, 107, 236772, 5213, 236796, 4984, 12252, 1018, 568, 236828, 236761, 236771, 1473, 562, 54817, 236764, 1759, 236772, 2289, 88807, 529, 506, 100445, 71539, 657, 78160, 12252, 236764, 79720, 14971, 7820, 9886, 532, 16671, 2342, 26787, 26844, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 919, 4889, 1003, 1027, 529, 1239, 653, 768, 611, 735, 1032, 22195, 236888, 106, 107, 105, 2364, 107, 236796, 4984, 12252, 5072, 1133, 496, 1535, 5313, 236761, 28344, 611, 4024, 919, 1003, 506, 14971, 9886, 1603, 1913, 506, 5396, 71539, 532, 1217, 506, 6387, 56385, 1091, 236881, 564, 236789, 236757, 6412, 7467, 528, 506, 26937, 1534, 506, 7820, 532, 41880, 7880, 236761, 106, 107, 105, 4368, 107, 818, 78160, 12252, 71539, 568, 16004, 134145, 236768, 528, 3353, 236772, 27403, 236743, 236770, 236819, 236812, 236771, 691, 496, 63193, 3479, 528, 100445, 236764, 1298, 1024, 236743, 236800, 236800, 236828, 236764, 236771, 236771, 236771, 73070, 20386, 964, 56975, 699, 506, 28439, 529, 78160, 12252, 236764, 7001, 236764, 1208, 18487, 9115, 4204, 236761, 5715, 236789, 236751, 1217, 506, 14971, 9886, 532, 7820, 236772, 97919, 1037, 26937, 113938, 236764, 532, 1217, 28572, 85635, 236789, 236751, 808, 236796, 4984, 12252, 236829, 568, 236778, 236771, 236770, 236832, 236768, 114224, 1091, 236787, 108, 7243, 108, 10354, 5213, 3503, 47746, 112189, 1018, 107, 236770, 236761, 5213, 818, 623, 30413, 78368, 236775, 40434, 1018, 138, 107, 139, 236772, 5213, 100368, 17605, 66515, 669, 12194, 22577, 14877, 34554, 531, 125703, 20386, 2779, 531, 28855, 14513, 3541, 506, 28439, 236764, 837, 30334, 2455, 179163, 699, 29220, 236761, 2282, 8974, 672, 236764, 506, 7222, 3251, 10713, 614, 32034, 2246, 573, 41880, 17735, 568, 236762, 98571, 236764, 13763, 20896, 236764, 1972, 57876, 236764, 4044, 2907, 531, 40916, 18187, 699, 506, 20015, 531, 6268, 19916, 39572, 236761, 7178, 236743, 236832, 236771, 236771, 2147, 20896, 19398, 506, 2246, 236764, 10425, 22799, 16271, 529, 41880, 236772, 98973, 17537, 236761, 107, 139, 236772, 5213, 20069, 3827, 4693, 66515, 85635, 58811, 672, 1343, 7579, 1133, 3186, 236761, 68153, 568, 10666, 630, 1542, 831, 779, 1015, 50766, 616, 914, 2147, 41264, 808, 74361, 11937, 236829, 531, 4071, 506, 5422, 21518, 236761, 669, 4103, 3831, 41880, 20896, 67112, 10701, 14517, 532, 9115, 2634, 13120, 531, 22661, 18187, 72872, 580, 506, 28439, 236764, 41671, 910, 6749, 3853, 528, 506, 71539, 236761, 108, 236778, 236761, 5213, 818, 62000, 568, 94348, 236768, 34428, 1018, 138, 107, 139, 236772, 5213, 100368, 17605, 66515, 669, 78160, 12252, 45694, 236858, 236751, 6050, 568, 236746, 1440, 12625, 15659, 236768, 5452, 496, 12763, 13317, 1523, 573, 20386, 236761, 18565, 1646, 496, 8355, 3328, 573, 9115, 131807, 236764, 625, 6208, 11442, 39311, 567, 1082, 506, 28439, 236761, 45526, 10195, 1133, 43224, 8966, 44223, 638, 42748, 506, 1161, 529, 506, 6050, 531, 29893, 9286, 236761, 107, 139, 236772, 5213, 20069, 3827, 4693, 66515, 669, 4103, 236858, 236751, 2601, 236772, 5140, 75553, 568, 146667, 236858, 236751, 11521, 236768, 3831, 18187, 9495, 528, 1757, 580, 506, 6050, 1208, 4512, 19658, 128240, 236761, 669, 31341, 529, 13317, 20386, 8990, 9867, 616, 1651, 31983, 48011, 104811, 506, 1494, 236772, 119035, 26937, 3149, 236761, 108, 236800, 236761, 5213, 118462, 5661, 20864, 1018, 138, 107, 139, 236772, 5213, 100368, 17605, 66515, 669, 12194, 5661, 15150, 568, 118462, 236768, 6657, 496, 13832, 3853, 528, 71323, 506, 71539, 699, 197982, 13120, 236761, 233249, 38231, 29167, 699, 19170, 528, 15891, 7591, 236764, 3187, 607, 5809, 7611, 236764, 531, 3856, 506, 28439, 532, 19916, 236761, 9963, 7880, 964, 12763, 840, 3187, 81619, 684, 3866, 20386, 236764, 5830, 531, 126692, 1013, 1003, 910, 12416, 236761, 107, 139, 236772, 5213, 20069, 3827, 4693, 66515, 669, 2634, 34315, 568, 175339, 11282, 5804, 236764, 6657, 684, 8460, 56865, 236768, 3831, 103343, 46058, 21964, 9115, 23449, 5453, 236772, 1404, 236764, 607, 18583, 529, 7611, 55943, 532, 4799, 236760, 4821, 236761, 669, 4103, 164552, 600, 506, 103343, 236858, 236751, 6219, 691, 6749, 236764, 1581, 768, 3866, 20386, 3782, 236858, 236745, 2462, 1460, 1091, 236761, 108, 236812, 236761, 5213, 236775, 818, 93416, 529, 78160, 12252, 236775, 1018, 138, 107, 139, 236772, 5213, 100368, 17605, 66515, 669, 71539, 691, 14877, 4275, 531, 5383, 1186, 236743, 236800, 236771, 236764, 236771, 236771, 236771, 236964, 236812, 236810, 236764, 236771, 236771, 236771, 1758, 236761, 14935, 176223, 236764, 10319, 236764, 532, 37501, 13699, 236764, 506, 5585, 56975, 1024, 236743, 236800, 236800, 236828, 236764, 236771, 236771, 236771, 20386, 237028, 236746, 15328, 4542, 95356, 236761, 1174, 5012, 13859, 1534, 506, 22577, 236764, 13325, 236764, 103343, 236764, 532, 41880, 21736, 236761, 107, 139, 236772, 5213, 20069, 3827, 4693, 66515, 85635, 236858, 236751, 1908, 236772, 11402, 54491, 568, 1591, 236786, 15457, 236786, 1404, 90353, 86960, 236768, 44066, 506, 89144, 236764, 32585, 9496, 529, 506, 71539, 236761, 669, 4103, 236858, 236751, 89093, 3831, 18187, 54788, 19916, 1651, 51884, 532, 7820, 14146, 981, 528, 155207, 236764, 16548, 607, 506, 9639, 14993, 236787, 165996, 1882, 236858, 859, 6093, 1091, 580, 506, 28439, 24002, 236829, 568, 77692, 644, 236858, 236751, 10808, 779, 61842, 78160, 12252, 618, 496, 623, 177799, 831, 236775, 600, 27750, 15602, 236858, 236751, 5596, 531, 4102, 506, 3653, 236761, 108, 7243, 108, 10354, 5213, 69662, 1037, 236772, 103908, 103663, 528, 506, 17069, 1018, 107, 236772, 5213, 20235, 1929, 7178, 116677, 504, 1854, 66515, 669, 6387, 69281, 78670, 11814, 1229, 236764, 5205, 19541, 580, 506, 71202, 532, 176223, 529, 12822, 1331, 236761, 1701, 2591, 236764, 506, 41880, 9909, 48401, 659, 3505, 618, 134647, 840, 711, 221787, 237028, 19256, 1386, 23153, 236764, 532, 3496, 3392, 16643, 165573, 568, 236744, 236761, 236759, 1126, 68153, 236858, 236751, 2369, 44023, 3363, 531, 22661, 9115, 18187, 769, 107, 236772, 5213, 80684, 74850, 66515, 669, 4103, 20756, 506, 6220, 529, 54809, 4991, 1913, 506, 71539, 236761, 82409, 580, 506, 7642, 3187, 3782, 236858, 236745, 1281, 1144, 691, 13922, 236764, 532, 41880, 21736, 38586, 580, 3658, 236772, 1340, 236772, 25056, 11808, 236761, 1174, 44066, 11858, 10789, 529, 506, 5585, 236858, 236751, 864, 31108, 236764, 837, 691, 18182, 1343, 65618, 17358, 236761, 107, 236772, 5213, 50384, 183014, 66515, 144223, 1133, 506, 808, 74361, 11937, 236829, 185108, 18187, 699, 496, 62540, 166101, 1407, 1217, 51884, 532, 7820, 14146, 38586, 580, 1546, 1032, 236761, 669, 4103, 236858, 236751, 5057, 1702, 568, 236744, 236761, 236759, 1126, 506, 119062, 11072, 44366, 236768, 104811, 506, 60055, 529, 1418, 1855, 236764, 79720, 600, 16671, 71953, 580, 19399, 2970, 236761, 108, 7243, 108, 2859, 611, 236789, 236753, 1133, 236764, 564, 740, 992, 4024, 11858, 7021, 653, 3530, 18583, 699, 506, 4103, 600, 26756, 1239, 3298, 236888, 3792, 786, 1281, 236761, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 23210, 1003, 506, 19992, 9654, 90915, 573, 506, 236743, 236778, 236771, 236778, 236800, 236772, 236778, 236771, 236778, 236812, 3409, 236761, 28344, 611, 4024, 506, 2434, 10681, 236764, 3298, 236764, 18779, 236764, 532, 14672, 236881, 564, 236789, 236757, 9795, 30493, 496, 3399, 8568, 3446, 532, 1461, 531, 3204, 1070, 1873, 15284, 131782, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 19458, 1083, 623, 46456, 3409, 6518, 756, 78002, 236772, 78002, 963, 2506, 756, 236778, 236771, 236778, 236800, 35773, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2244, 1013, 1083, 78493, 3473, 1083, 236743, 236770, 236764, 623, 14992, 1083, 623, 74246, 4085, 827, 623, 11116, 1083, 236743, 236819, 236770, 236764, 623, 76339, 1083, 236743, 236778, 236819, 236764, 623, 74718, 1083, 236743, 236825, 1263, 3714, 3473, 1083, 236743, 236778, 236764, 623, 14992, 1083, 623, 123217, 827, 623, 11116, 1083, 236743, 236828, 236810, 236764, 623, 76339, 1083, 236743, 236778, 236825, 236764, 623, 74718, 1083, 236743, 236819, 1263, 3714, 3473, 1083, 236743, 236800, 236764, 623, 14992, 1083, 623, 98125, 827, 623, 11116, 1083, 236743, 236828, 236771, 236764, 623, 76339, 1083, 236743, 236778, 236810, 236764, 623, 74718, 1083, 236743, 236828, 1263, 3714, 3473, 1083, 236743, 236812, 236764, 623, 14992, 1083, 623, 100203, 827, 623, 11116, 1083, 236743, 236832, 236810, 236764, 623, 76339, 1083, 236743, 236778, 236800, 236764, 623, 74718, 1083, 236743, 236770, 236771, 1263, 3714, 3473, 1083, 236743, 236810, 236764, 623, 14992, 1083, 623, 74246, 3640, 827, 623, 11116, 1083, 236743, 236832, 236771, 236764, 623, 76339, 1083, 236743, 236778, 236770, 236764, 623, 74718, 1083, 236743, 236770, 236778, 104960, 623, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236778, 236771, 236778, 236812, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6524, 19992, 9654, 90915, 4610, 573, 506, 236743, 236778, 236771, 236778, 236800, 236772, 236778, 236771, 236778, 236812, 3409, 568, 527, 529, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 1473, 108, 1018, 8534, 236743, 236810, 46001, 53121, 107, 236770, 236761, 5213, 74246, 4085, 1018, 138, 107, 139, 19622, 236787, 236743, 236819, 236770, 1109, 72928, 236787, 236743, 236778, 236819, 1109, 170938, 236787, 236743, 236825, 108, 236778, 236761, 5213, 123217, 1018, 138, 107, 139, 19622, 236787, 236743, 236828, 236810, 1109, 72928, 236787, 236743, 236778, 236825, 1109, 170938, 236787, 236743, 236819, 108, 236800, 236761, 5213, 98125, 1018, 138, 107, 139, 19622, 236787, 236743, 236828, 236771, 1109, 72928, 236787, 236743, 236778, 236810, 1109, 170938, 236787, 236743, 236828, 108, 236812, 236761, 5213, 100203, 1018, 138, 107, 139, 19622, 236787, 236743, 236832, 236810, 1109, 72928, 236787, 236743, 236778, 236800, 1109, 170938, 236787, 236743, 236770, 236771, 108, 236810, 236761, 5213, 74246, 3640, 1018, 138, 107, 139, 19622, 236787, 236743, 236832, 236771, 1109, 72928, 236787, 236743, 236778, 236770, 1109, 170938, 236787, 236743, 236770, 236778, 108, 2094, 1374, 1386, 573, 1822, 8568, 131782, 236888, 21284, 611, 1133, 786, 531, 4024, 1027, 3530, 2434, 4889, 653, 4767, 20673, 573, 822, 2460, 236881, 106, 107, 105, 2364, 107, 236777, 14275, 506, 1903, 7974, 659, 7438, 236764, 840, 1451, 611, 4024, 90915, 573, 7974, 25847, 236743, 236825, 594, 531, 236743, 236770, 236771, 594, 236881, 6542, 236764, 659, 993, 1027, 24786, 53041, 653, 158080, 8511, 528, 506, 5453, 236772, 5127, 672, 3409, 236881, 1701, 506, 131782, 236764, 625, 236858, 236753, 577, 2317, 531, 3204, 79409, 10797, 237028, 5282, 837, 2434, 1053, 506, 9754, 9212, 528, 47551, 653, 496, 86736, 4155, 24007, 236761, 3792, 786, 1281, 768, 506, 5904, 740, 8091, 600, 236888, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9239, 90915, 1938, 532, 131782, 19317, 573, 822, 2460, 236787, 108, 1018, 236825, 594, 236772, 236770, 236771, 594, 15444, 568, 122598, 18186, 580, 20273, 48993, 1473, 1018, 138, 107, 16907, 10282, 236787, 34883, 1262, 6998, 236743, 236810, 594, 1977, 47713, 528, 1873, 5904, 3072, 12016, 138, 107, 236825, 236761, 64112, 170617, 75720, 236825, 236810, 3298, 236768, 138, 107, 236832, 236761, 42397, 3640, 75720, 236825, 236778, 3298, 236768, 138, 107, 236828, 236761, 75119, 29055, 75720, 236825, 236771, 3298, 236768, 138, 107, 236819, 236761, 4844, 13591, 3640, 75720, 236810, 236810, 3298, 236768, 138, 107, 236770, 236771, 236761, 58950, 833, 170562, 115976, 75720, 236810, 236778, 3298, 236768, 138, 108, 1018, 41210, 236772, 5010, 6486, 17307, 53121, 138, 107, 236772, 5213, 173868, 5297, 236789, 236751, 53474, 66515, 669, 127488, 18788, 496, 3423, 6693, 40053, 7075, 568, 236819, 594, 1977, 236768, 8863, 531, 910, 35792, 3117, 1208, 9509, 9327, 236761, 138, 107, 236772, 5213, 174623, 3700, 236789, 236751, 194387, 66515, 39874, 524, 135134, 10041, 11716, 528, 910, 1855, 3409, 1063, 528, 506, 1903, 10224, 236761, 138, 107, 236772, 5213, 104478, 2061, 236789, 14132, 24616, 66515, 562, 5453, 236772, 19458, 70318, 2352, 59109, 496, 25501, 54761, 236764, 9795, 1091, 17085, 699, 236743, 236770, 236819, 594, 531, 236743, 236770, 236778, 594, 236761, 138, 108, 1018, 3285, 583, 4221, 51901, 573, 215559, 53121, 138, 107, 236772, 5213, 233182, 57088, 66515, 163097, 12258, 3939, 699, 17607, 48524, 25525, 531, 19992, 9654, 16671, 100491, 236764, 222047, 877, 236772, 19458, 135134, 26844, 236761, 138, 107, 236772, 5213, 15248, 725, 17065, 66515, 5131, 2395, 220661, 568, 74246, 4085, 236768, 15568, 236743, 236800, 236825, 7675, 528, 236743, 236800, 236810, 12853, 236764, 15512, 506, 3161, 236772, 19458, 5671, 3423, 236761, 138, 107, 236772, 5213, 14713, 21029, 51171, 66515, 73026, 13988, 236789, 236751, 236743, 236778, 236772, 236771, 3345, 657, 25818, 528, 7250, 11373, 910, 1171, 3121, 3345, 2342, 496, 1903, 236772, 236812, 2434, 2338, 236743, 236770, 236819, 236819, 236812, 236761, 138, 108, 38786, 611, 1133, 1601, 53892, 672, 1131, 131782, 4137, 653, 2434, 236772, 15396, 2317, 10797, 236881, 106, 107, 105, 2364, 107, 30092, 611, 6518, 506, 5453, 236772, 5127, 53041, 532, 79409, 10797, 1131, 236743, 236810, 131782, 4137, 607, 5065, 236772, 17005, 12102, 236881, 1701, 2591, 236764, 496, 2934, 1003, 220661, 236858, 236751, 3423, 653, 163097, 12258, 236858, 236751, 8570, 236761, 6542, 236764, 1451, 611, 2619, 886, 2317, 1707, 1546, 573, 64112, 568, 236825, 594, 236768, 532, 42397, 568, 236832, 594, 236768, 2721, 580, 910, 9460, 90915, 236881, 1174, 1093, 1386, 506, 131782, 919, 21931, 573, 40303, 236761, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 1076, 529, 5213, 236810, 5065, 236772, 17005, 131782, 4137, 1018, 532, 5213, 15170, 10797, 1018, 573, 64112, 532, 42397, 531, 43615, 872, 822, 2460, 236787, 108, 7243, 108, 10354, 5213, 231323, 23610, 1018, 138, 107, 236770, 236761, 5213, 24249, 4155, 16689, 506, 19992, 9654, 3161, 236772, 19458, 5671, 3423, 528, 236743, 236778, 236771, 236778, 236800, 236772, 236778, 236812, 236881, 1018, 138, 107, 139, 236746, 236768, 68936, 80263, 568, 98125, 236768, 138, 107, 139, 236763, 236768, 5213, 19574, 2395, 220661, 568, 74246, 4085, 62902, 138, 107, 139, 236755, 236768, 17787, 52967, 568, 219804, 236768, 138, 107, 139, 1018, 34318, 3890, 53121, 518, 236768, 220661, 568, 236800, 236825, 7675, 236768, 138, 108, 236778, 236761, 5213, 24249, 623, 236780, 103240, 2434, 236775, 3939, 699, 17607, 48524, 25525, 531, 496, 5453, 236772, 5127, 19992, 9654, 9009, 236881, 1018, 138, 107, 139, 236746, 236768, 73026, 13988, 138, 107, 139, 236763, 236768, 5213, 236798, 550, 498, 12258, 1018, 138, 107, 139, 236755, 236768, 58741, 3640, 138, 107, 139, 1018, 34318, 3890, 53121, 518, 236768, 163097, 183136, 135134, 26844, 531, 9009, 236743, 236770, 236825, 594, 236761, 138, 108, 236800, 236761, 5213, 24249, 5453, 236772, 5127, 2434, 1603, 496, 17110, 17085, 699, 236743, 236770, 236819, 594, 531, 236743, 236770, 236778, 594, 1308, 496, 70318, 2352, 236881, 1018, 138, 107, 139, 236746, 236768, 138802, 138, 107, 139, 236763, 236768, 217931, 138, 107, 139, 236755, 236768, 5213, 104478, 2061, 1018, 138, 107, 139, 1018, 34318, 3890, 53121, 505, 236768, 85711, 26902, 30160, 708, 236858, 70955, 236764, 131045, 496, 25501, 54761, 236761, 138, 108, 236812, 236761, 5213, 24249, 2434, 18788, 496, 3423, 236772, 28384, 6693, 40053, 7075, 528, 236743, 236778, 236771, 236778, 236800, 236772, 236778, 236812, 236881, 1018, 138, 107, 139, 236746, 236768, 58950, 833, 170562, 115976, 138, 107, 139, 236763, 236768, 5213, 173868, 5297, 1018, 138, 107, 139, 236755, 236768, 4844, 13591, 3640, 138, 107, 139, 1018, 34318, 3890, 53121, 518, 236768, 669, 127488, 8585, 236743, 236832, 594, 568, 51183, 779, 910, 7310, 3785, 236761, 138, 108, 236810, 236761, 5213, 24249, 158080, 2434, 15568, 496, 49558, 236743, 236778, 236772, 236771, 3345, 657, 175117, 528, 7250, 236743, 236778, 236771, 236778, 236812, 236881, 1018, 138, 107, 139, 236746, 236768, 34644, 26382, 138, 107, 139, 236763, 236768, 5213, 4348, 64054, 13988, 1018, 138, 107, 139, 236755, 236768, 85711, 138, 107, 139, 1018, 34318, 3890, 53121, 518, 236768, 13988, 236858, 236751, 1171, 3121, 3345, 7728, 236761, 496, 1903, 236772, 236812, 2434, 2338, 236743, 236770, 236819, 236819, 236812, 236761, 138, 108, 7243, 108, 10354, 5213, 25188, 51901, 573, 215559, 1018, 138, 107, 1018, 219804, 170617, 568, 236825, 594, 1473, 1018, 138, 107, 236775, 54599, 52967, 3847, 496, 15284, 236772, 11480, 236743, 236778, 236771, 35473, 672, 3409, 236764, 10425, 506, 1171, 4155, 528, 19992, 9654, 4083, 531, 3423, 236743, 236778, 236771, 236862, 7675, 5213, 624, 1018, 236743, 236778, 236771, 236862, 35473, 528, 496, 3161, 7073, 9332, 138, 108, 1018, 187885, 3640, 568, 236832, 594, 1473, 1018, 138, 107, 236775, 22550, 496, 6903, 236778, 236771, 236771, 236792, 5312, 8559, 236764, 42397, 236858, 236751, 86736, 3479, 691, 496, 20997, 236743, 236812, 236772, 236800, 53148, 3345, 7728, 236761, 53565, 4085, 237028, 42974, 1171, 19992, 9654, 13626, 1308, 45330, 684, 236743, 236778, 236862, 7675, 2338, 236743, 236778, 236771, 236770, 236770, 9332, 138, 108, 7243, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 62325, 568, 5282, 496, 172569, 13307, 236768, 653, 4767, 4137, 236888, 204906, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 23210, 1003, 506, 19992, 9654, 90915, 573, 506, 236743, 236778, 236771, 236778, 236800, 236772, 236778, 236771, 236778, 236812, 3409, 236761, 28344, 611, 4024, 506, 2434, 10681, 236764, 3298, 236764, 18779, 236764, 532, 14672, 236881, 564, 236789, 236757, 9795, 30493, 496, 3399, 8568, 3446, 532, 1461, 531, 3204, 1070, 1873, 15284, 131782, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 19458, 1083, 623, 46456, 3409, 6518, 756, 78002, 236772, 78002, 963, 2506, 756, 236778, 236771, 236778, 236800, 35773, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2244, 1013, 1083, 78493, 3473, 1083, 236743, 236770, 236764, 623, 14992, 1083, 623, 74246, 4085, 827, 623, 11116, 1083, 236743, 236819, 236770, 236764, 623, 76339, 1083, 236743, 236778, 236819, 236764, 623, 74718, 1083, 236743, 236825, 1263, 3714, 3473, 1083, 236743, 236778, 236764, 623, 14992, 1083, 623, 123217, 827, 623, 11116, 1083, 236743, 236828, 236810, 236764, 623, 76339, 1083, 236743, 236778, 236825, 236764, 623, 74718, 1083, 236743, 236819, 1263, 3714, 3473, 1083, 236743, 236800, 236764, 623, 14992, 1083, 623, 98125, 827, 623, 11116, 1083, 236743, 236828, 236771, 236764, 623, 76339, 1083, 236743, 236778, 236810, 236764, 623, 74718, 1083, 236743, 236828, 1263, 3714, 3473, 1083, 236743, 236812, 236764, 623, 14992, 1083, 623, 100203, 827, 623, 11116, 1083, 236743, 236832, 236810, 236764, 623, 76339, 1083, 236743, 236778, 236800, 236764, 623, 74718, 1083, 236743, 236770, 236771, 1263, 3714, 3473, 1083, 236743, 236810, 236764, 623, 14992, 1083, 623, 74246, 3640, 827, 623, 11116, 1083, 236743, 236832, 236771, 236764, 623, 76339, 1083, 236743, 236778, 236770, 236764, 623, 74718, 1083, 236743, 236770, 236778, 104960, 623, 19458, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236778, 236771, 236778, 236812, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 6524, 19992, 9654, 90915, 4610, 573, 506, 236743, 236778, 236771, 236778, 236800, 236772, 236778, 236771, 236778, 236812, 3409, 568, 527, 529, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 1473, 108, 1018, 8534, 236743, 236810, 46001, 53121, 107, 236770, 236761, 5213, 74246, 4085, 1018, 138, 107, 139, 19622, 236787, 236743, 236819, 236770, 1109, 72928, 236787, 236743, 236778, 236819, 1109, 170938, 236787, 236743, 236825, 108, 236778, 236761, 5213, 123217, 1018, 138, 107, 139, 19622, 236787, 236743, 236828, 236810, 1109, 72928, 236787, 236743, 236778, 236825, 1109, 170938, 236787, 236743, 236819, 108, 236800, 236761, 5213, 98125, 1018, 138, 107, 139, 19622, 236787, 236743, 236828, 236771, 1109, 72928, 236787, 236743, 236778, 236810, 1109, 170938, 236787, 236743, 236828, 108, 236812, 236761, 5213, 100203, 1018, 138, 107, 139, 19622, 236787, 236743, 236832, 236810, 1109, 72928, 236787, 236743, 236778, 236800, 1109, 170938, 236787, 236743, 236770, 236771, 108, 236810, 236761, 5213, 74246, 3640, 1018, 138, 107, 139, 19622, 236787, 236743, 236832, 236771, 1109, 72928, 236787, 236743, 236778, 236770, 1109, 170938, 236787, 236743, 236770, 236778, 108, 2094, 1374, 1386, 573, 1822, 8568, 131782, 236888, 21284, 611, 1133, 786, 531, 4024, 1027, 3530, 2434, 4889, 653, 4767, 20673, 573, 822, 2460, 236881, 106, 107, 105, 2364, 107, 236777, 14275, 506, 1903, 7974, 659, 7438, 236764, 840, 1451, 611, 4024, 90915, 573, 7974, 25847, 236743, 236825, 594, 531, 236743, 236770, 236771, 594, 236881, 6542, 236764, 659, 993, 1027, 24786, 53041, 653, 158080, 8511, 528, 506, 5453, 236772, 5127, 672, 3409, 236881, 1701, 506, 131782, 236764, 625, 236858, 236753, 577, 2317, 531, 3204, 79409, 10797, 237028, 5282, 837, 2434, 1053, 506, 9754, 9212, 528, 47551, 653, 496, 86736, 4155, 24007, 236761, 3792, 786, 1281, 768, 506, 5904, 740, 8091, 600, 236888, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9239, 90915, 1938, 532, 131782, 19317, 573, 822, 2460, 236787, 108, 1018, 236825, 594, 236772, 236770, 236771, 594, 15444, 568, 122598, 18186, 580, 20273, 48993, 1473, 1018, 138, 107, 16907, 10282, 236787, 34883, 1262, 6998, 236743, 236810, 594, 1977, 47713, 528, 1873, 5904, 3072, 12016, 138, 107, 236825, 236761, 64112, 170617, 75720, 236825, 236810, 3298, 236768, 138, 107, 236832, 236761, 42397, 3640, 75720, 236825, 236778, 3298, 236768, 138, 107, 236828, 236761, 75119, 29055, 75720, 236825, 236771, 3298, 236768, 138, 107, 236819, 236761, 4844, 13591, 3640, 75720, 236810, 236810, 3298, 236768, 138, 107, 236770, 236771, 236761, 58950, 833, 170562, 115976, 75720, 236810, 236778, 3298, 236768, 138, 108, 1018, 41210, 236772, 5010, 6486, 17307, 53121, 138, 107, 236772, 5213, 173868, 5297, 236789, 236751, 53474, 66515, 669, 127488, 18788, 496, 3423, 6693, 40053, 7075, 568, 236819, 594, 1977, 236768, 8863, 531, 910, 35792, 3117, 1208, 9509, 9327, 236761, 138, 107, 236772, 5213, 174623, 3700, 236789, 236751, 194387, 66515, 39874, 524, 135134, 10041, 11716, 528, 910, 1855, 3409, 1063, 528, 506, 1903, 10224, 236761, 138, 107, 236772, 5213, 104478, 2061, 236789, 14132, 24616, 66515, 562, 5453, 236772, 19458, 70318, 2352, 59109, 496, 25501, 54761, 236764, 9795, 1091, 17085, 699, 236743, 236770, 236819, 594, 531, 236743, 236770, 236778, 594, 236761, 138, 108, 1018, 3285, 583, 4221, 51901, 573, 215559, 53121, 138, 107, 236772, 5213, 233182, 57088, 66515, 163097, 12258, 3939, 699, 17607, 48524, 25525, 531, 19992, 9654, 16671, 100491, 236764, 222047, 877, 236772, 19458, 135134, 26844, 236761, 138, 107, 236772, 5213, 15248, 725, 17065, 66515, 5131, 2395, 220661, 568, 74246, 4085, 236768, 15568, 236743, 236800, 236825, 7675, 528, 236743, 236800, 236810, 12853, 236764, 15512, 506, 3161, 236772, 19458, 5671, 3423, 236761, 138, 107, 236772, 5213, 14713, 21029, 51171, 66515, 73026, 13988, 236789, 236751, 236743, 236778, 236772, 236771, 3345, 657, 25818, 528, 7250, 11373, 910, 1171, 3121, 3345, 2342, 496, 1903, 236772, 236812, 2434, 2338, 236743, 236770, 236819, 236819, 236812, 236761, 138, 108, 38786, 611, 1133, 1601, 53892, 672, 1131, 131782, 4137, 653, 2434, 236772, 15396, 2317, 10797, 236881, 106, 107, 105, 2364, 107, 30092, 611, 6518, 506, 5453, 236772, 5127, 53041, 532, 79409, 10797, 1131, 236743, 236810, 131782, 4137, 607, 5065, 236772, 17005, 12102, 236881, 1701, 2591, 236764, 496, 2934, 1003, 220661, 236858, 236751, 3423, 653, 163097, 12258, 236858, 236751, 8570, 236761, 6542, 236764, 1451, 611, 2619, 886, 2317, 1707, 1546, 573, 64112, 568, 236825, 594, 236768, 532, 42397, 568, 236832, 594, 236768, 2721, 580, 910, 9460, 90915, 236881, 1174, 1093, 1386, 506, 131782, 919, 21931, 573, 40303, 236761, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 1076, 529, 5213, 236810, 5065, 236772, 17005, 131782, 4137, 1018, 532, 5213, 15170, 10797, 1018, 573, 64112, 532, 42397, 531, 43615, 872, 822, 2460, 236787, 108, 7243, 108, 10354, 5213, 231323, 23610, 1018, 138, 107, 236770, 236761, 5213, 24249, 4155, 16689, 506, 19992, 9654, 3161, 236772, 19458, 5671, 3423, 528, 236743, 236778, 236771, 236778, 236800, 236772, 236778, 236812, 236881, 1018, 138, 107, 139, 236746, 236768, 68936, 80263, 568, 98125, 236768, 138, 107, 139, 236763, 236768, 5213, 19574, 2395, 220661, 568, 74246, 4085, 62902, 138, 107, 139, 236755, 236768, 17787, 52967, 568, 219804, 236768, 138, 107, 139, 1018, 34318, 3890, 53121, 518, 236768, 220661, 568, 236800, 236825, 7675, 236768, 138, 108, 236778, 236761, 5213, 24249, 623, 236780, 103240, 2434, 236775, 3939, 699, 17607, 48524, 25525, 531, 496, 5453, 236772, 5127, 19992, 9654, 9009, 236881, 1018, 138, 107, 139, 236746, 236768, 73026, 13988, 138, 107, 139, 236763, 236768, 5213, 236798, 550, 498, 12258, 1018, 138, 107, 139, 236755, 236768, 58741, 3640, 138, 107, 139, 1018, 34318, 3890, 53121, 518, 236768, 163097, 183136, 135134, 26844, 531, 9009, 236743, 236770, 236825, 594, 236761, 138, 108, 236800, 236761, 5213, 24249, 5453, 236772, 5127, 2434, 1603, 496, 17110, 17085, 699, 236743, 236770, 236819, 594, 531, 236743, 236770, 236778, 594, 1308, 496, 70318, 2352, 236881, 1018, 138, 107, 139, 236746, 236768, 138802, 138, 107, 139, 236763, 236768, 217931, 138, 107, 139, 236755, 236768, 5213, 104478, 2061, 1018, 138, 107, 139, 1018, 34318, 3890, 53121, 505, 236768, 85711, 26902, 30160, 708, 236858, 70955, 236764, 131045, 496, 25501, 54761, 236761, 138, 108, 236812, 236761, 5213, 24249, 2434, 18788, 496, 3423, 236772, 28384, 6693, 40053, 7075, 528, 236743, 236778, 236771, 236778, 236800, 236772, 236778, 236812, 236881, 1018, 138, 107, 139, 236746, 236768, 58950, 833, 170562, 115976, 138, 107, 139, 236763, 236768, 5213, 173868, 5297, 1018, 138, 107, 139, 236755, 236768, 4844, 13591, 3640, 138, 107, 139, 1018, 34318, 3890, 53121, 518, 236768, 669, 127488, 8585, 236743, 236832, 594, 568, 51183, 779, 910, 7310, 3785, 236761, 138, 108, 236810, 236761, 5213, 24249, 158080, 2434, 15568, 496, 49558, 236743, 236778, 236772, 236771, 3345, 657, 175117, 528, 7250, 236743, 236778, 236771, 236778, 236812, 236881, 1018, 138, 107, 139, 236746, 236768, 34644, 26382, 138, 107, 139, 236763, 236768, 5213, 4348, 64054, 13988, 1018, 138, 107, 139, 236755, 236768, 85711, 138, 107, 139, 1018, 34318, 3890, 53121, 518, 236768, 13988, 236858, 236751, 1171, 3121, 3345, 7728, 236761, 496, 1903, 236772, 236812, 2434, 2338, 236743, 236770, 236819, 236819, 236812, 236761, 138, 108, 7243, 108, 10354, 5213, 25188, 51901, 573, 215559, 1018, 138, 107, 1018, 219804, 170617, 568, 236825, 594, 1473, 1018, 138, 107, 236775, 54599, 52967, 3847, 496, 15284, 236772, 11480, 236743, 236778, 236771, 35473, 672, 3409, 236764, 10425, 506, 1171, 4155, 528, 19992, 9654, 4083, 531, 3423, 236743, 236778, 236771, 236862, 7675, 5213, 624, 1018, 236743, 236778, 236771, 236862, 35473, 528, 496, 3161, 7073, 9332, 138, 108, 1018, 187885, 3640, 568, 236832, 594, 1473, 1018, 138, 107, 236775, 22550, 496, 6903, 236778, 236771, 236771, 236792, 5312, 8559, 236764, 42397, 236858, 236751, 86736, 3479, 691, 496, 20997, 236743, 236812, 236772, 236800, 53148, 3345, 7728, 236761, 53565, 4085, 237028, 42974, 1171, 19992, 9654, 13626, 1308, 45330, 684, 236743, 236778, 236862, 7675, 2338, 236743, 236778, 236771, 236770, 236770, 9332, 138, 108, 7243, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 62325, 568, 5282, 496, 172569, 13307, 236768, 653, 4767, 4137, 236888, 204906, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 9279, 53838, 6527, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 600, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 9279, 53838, 6527, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 600, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 659, 506, 1607, 4458, 529, 20736, 2487, 236881, 6542, 236764, 2847, 4889, 573, 8217, 1722, 607, 5853, 756, 4080, 236770, 236778, 236800, 6748, 106, 107, 105, 4368, 107, 818, 2487, 6436, 776, 711, 3204, 496, 1292, 531, 33205, 496, 1694, 529, 1607, 8217, 4458, 236761, 3153, 236764, 564, 740, 2847, 4889, 573, 506, 8217, 607, 5853, 756, 4080, 236770, 236778, 236800, 236789, 768, 611, 6429, 506, 3149, 6137, 1288, 618, 2426, 236772, 495, 3433, 236764, 2426, 236772, 725, 3433, 236764, 15130, 236764, 2471, 2425, 236764, 532, 11649, 573, 52132, 236764, 3298, 529, 2142, 236764, 532, 9979, 236761, 236743, 108, 38786, 611, 1133, 531, 2847, 1239, 4889, 531, 7162, 607, 67931, 506, 8217, 1938, 236881, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 659, 506, 1607, 4458, 529, 20736, 2487, 236881, 6542, 236764, 2847, 4889, 573, 8217, 1722, 607, 5853, 756, 4080, 236770, 236778, 236800, 6748, 106, 107, 105, 4368, 107, 818, 2487, 6436, 776, 711, 3204, 496, 1292, 531, 33205, 496, 1694, 529, 1607, 8217, 4458, 236761, 3153, 236764, 564, 740, 2847, 4889, 573, 506, 8217, 607, 5853, 756, 4080, 236770, 236778, 236800, 236789, 768, 611, 6429, 506, 3149, 6137, 1288, 618, 2426, 236772, 495, 3433, 236764, 2426, 236772, 725, 3433, 236764, 15130, 236764, 2471, 2425, 236764, 532, 11649, 573, 52132, 236764, 3298, 529, 2142, 236764, 532, 9979, 236761, 236743, 108, 38786, 611, 1133, 531, 2847, 1239, 4889, 531, 7162, 607, 67931, 506, 8217, 1938, 236881, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 1202, 1601, 8159, 1070, 6249, 600, 22064, 52491, 14485, 607, 4532, 4181, 14050, 236761, 3551, 6013, 2299, 657, 506, 2263, 33443, 563, 24048, 506, 18074, 529, 37249, 532, 10630, 2148, 2069, 236761, 28344, 611, 1161, 506, 3927, 236779, 3070, 5904, 607, 22195, 573, 623, 122768, 12273, 529, 4181, 236775, 532, 623, 80563, 37249, 51653, 564, 236789, 236753, 2765, 15136, 600, 659, 15283, 840, 2036, 141032, 55384, 753, 1751, 3008, 506, 4463, 529, 1217, 149918, 8425, 21106, 51972, 14896, 236789, 236751, 3246, 4100, 236764, 840, 607, 919, 3213, 580, 12308, 532, 27347, 2338, 600, 236789, 236751, 1041, 981, 1902, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 3250, 827, 623, 6386, 14255, 623, 29995, 1083, 642, 19465, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 8330, 4186, 6517, 236761, 3792, 786, 59638, 506, 3927, 6137, 236761, 5612, 506, 5904, 7087, 3822, 532, 3260, 6192, 236764, 1451, 611, 4024, 1027, 22195, 573, 3530, 11068, 611, 236789, 560, 12535, 568, 5282, 149918, 8425, 21106, 236764, 618, 611, 6950, 236768, 653, 1027, 2931, 2260, 19293, 600, 735, 7467, 611, 236881, 1174, 795, 1601, 786, 2619, 496, 919, 11459, 3927, 7609, 573, 19548, 833, 14896, 6249, 7798, 531, 822, 10630, 3213, 236761, 106, 107, 105, 2364, 107, 24019, 236764, 1535, 4682, 236888, 564, 776, 2126, 14756, 149918, 8425, 21106, 236789, 236751, 981, 1271, 808, 233721, 29743, 236829, 8678, 1041, 6114, 531, 1217, 12308, 15965, 3246, 5603, 236761, 12023, 3260, 564, 236858, 560, 79077, 1131, 563, 20410, 13246, 67316, 236764, 4285, 808, 818, 93161, 532, 506, 51914, 22429, 1701, 14896, 37249, 236764, 808, 2021, 18898, 23825, 236764, 11738, 5715, 236829, 684, 7666, 191219, 199874, 869, 33227, 855, 1271, 625, 236858, 236751, 2506, 600, 6749, 14970, 692, 1202, 573, 1023, 2135, 236761, 15704, 506, 5904, 1451, 56856, 6249, 6469, 1534, 236743, 236778, 236771, 236770, 236771, 236772, 236778, 236771, 236778, 236800, 2311, 236881, 221731, 32557, 580, 14770, 60596, 532, 236743, 236810, 236823, 37249, 1093, 14806, 1063, 531, 1041, 981, 236761, 3792, 786, 1281, 768, 600, 7351, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 233721, 29743, 827, 623, 6386, 1083, 623, 65505, 824, 8425, 21106, 827, 623, 56036, 1083, 623, 122768, 12273, 529, 4181, 236764, 10630, 37249, 827, 623, 119789, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236770, 236764, 623, 6011, 1083, 623, 20647, 2985, 1217, 5177, 12308, 89776, 20265, 3246, 5603, 236764, 34629, 506, 56938, 529, 27347, 74681, 23049, 236761, 49308, 1624, 5254, 580, 2777, 4009, 236764, 72147, 236764, 532, 9144, 8904, 236764, 607, 21255, 573, 4532, 52731, 1003, 14770, 60596, 532, 236743, 236810, 236823, 37249, 10498, 623, 500, 113458, 1083, 623, 28272, 236751, 607, 822, 2142, 528, 12308, 236789, 236751, 61269, 4100, 532, 4728, 91798, 19317, 573, 32187, 20222, 10952, 1133, 236743, 236810, 236823, 12230, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 7798, 25809, 699, 506, 3927, 2536, 236787, 108, 1018, 7396, 53121, 808, 233721, 29743, 236829, 138, 107, 1018, 14953, 53121, 149918, 8425, 21106, 568, 236778, 236771, 236770, 236770, 236768, 138, 107, 1018, 3503, 137944, 53121, 138, 107, 236772, 2088, 5177, 12308, 89776, 20265, 3246, 5603, 138, 107, 236772, 669, 56938, 529, 27347, 74681, 23049, 138, 107, 236772, 15316, 5254, 580, 2777, 4009, 236764, 72147, 236764, 532, 9144, 8904, 138, 108, 1018, 11355, 625, 19009, 822, 3548, 53121, 138, 107, 818, 2260, 5467, 19246, 506, 61269, 18506, 529, 22351, 3797, 568, 5282, 14770, 60596, 532, 236743, 236810, 236823, 12230, 611, 6950, 236768, 532, 4728, 91798, 44362, 573, 32187, 37249, 528, 10630, 44187, 236761, 8425, 21106, 236789, 236751, 6749, 14970, 100146, 607, 822, 2142, 528, 12308, 236789, 236751, 3246, 15169, 236761, 108, 38786, 611, 1133, 786, 531, 1586, 4767, 6249, 236764, 8229, 22260, 33530, 4146, 568, 236778, 236771, 236770, 236771, 236772, 236778, 236771, 236778, 236800, 236768, 600, 3213, 919, 25010, 580, 236743, 236810, 236823, 653, 14770, 60596, 37249, 236881, 106, 107, 105, 2364, 107, 1018, 3932, 53121, 28344, 611, 1161, 506, 3927, 236779, 3070, 5904, 1570, 607, 1239, 6137, 236787, 753, 5213, 14953, 53121, 7666, 191219, 199874, 869, 753, 5213, 7396, 97927, 53121, 623, 224792, 236775, 4715, 6791, 236810, 236823, 236775, 8005, 623, 62031, 60596, 1373, 753, 5213, 81606, 8799, 53121, 236743, 236778, 236771, 236770, 236771, 236964, 236778, 236771, 236778, 236800, 564, 236858, 236757, 23210, 768, 993, 236858, 236751, 496, 2260, 1133, 808, 2021, 18898, 23825, 236764, 11738, 5715, 236829, 840, 10317, 580, 5663, 12308, 568, 236744, 236761, 236759, 1126, 236743, 236810, 236823, 101900, 52731, 653, 14770, 236858, 236751, 8646, 5384, 769, 1637, 5017, 14581, 236764, 7463, 6778, 531, 11068, 1133, 29884, 64206, 653, 12129, 21814, 49121, 236881, 9963, 981, 580, 12498, 17482, 2473, 10616, 30426, 28893, 528, 27347, 14896, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 17811, 623, 4375, 1083, 623, 3771, 6249, 1765, 684, 7666, 191219, 199874, 869, 16590, 756, 224792, 236743, 236810, 236823, 14770, 60596, 236789, 528, 3822, 653, 3004, 236761, 14066, 21494, 3927, 531, 11068, 1133, 29884, 64206, 653, 12129, 21814, 49121, 573, 4596, 22888, 528, 4181, 37249, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 120761, 529, 12498, 236787, 7338, 236764, 32587, 236764, 532, 506, 179445, 56484, 529, 45556, 28243, 827, 623, 6386, 1083, 623, 83530, 64206, 827, 623, 56036, 1083, 623, 122768, 12273, 529, 4181, 236764, 10630, 37249, 827, 623, 119789, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 6011, 1083, 623, 20647, 2985, 506, 2561, 532, 8646, 5384, 529, 12498, 12308, 236764, 2440, 6511, 23680, 236764, 6138, 43432, 236764, 532, 28831, 18506, 529, 2455, 236772, 7669, 14896, 3797, 10498, 623, 500, 113458, 1083, 623, 1683, 61151, 30426, 28893, 528, 27347, 14896, 1343, 506, 14970, 529, 5663, 12308, 236764, 48973, 2395, 52731, 1003, 236743, 236810, 236823, 532, 14770, 60596, 6309, 13455, 1781, 104960, 623, 10480, 236779, 58578, 1083, 623, 11480, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 3188, 4241, 573, 822, 13138, 236787, 108, 1018, 7396, 53121, 808, 120761, 529, 12498, 236787, 7338, 236764, 32587, 236764, 532, 506, 179445, 56484, 529, 45556, 28243, 236829, 138, 107, 1018, 14953, 53121, 29884, 64206, 568, 236778, 236771, 236778, 236770, 236768, 138, 107, 1018, 3503, 137944, 53121, 138, 107, 236772, 12683, 532, 8646, 5384, 529, 14896, 12308, 568, 128257, 23680, 236764, 2778, 1161, 236764, 28831, 18506, 236768, 138, 107, 236772, 11712, 43432, 528, 623, 131921, 236775, 14896, 3797, 138, 107, 236772, 124476, 89560, 531, 236743, 236810, 236823, 236786, 62031, 60596, 52731, 1343, 506, 14970, 529, 12498, 236789, 236751, 5663, 38649, 138, 108, 1018, 11355, 625, 19009, 53121, 138, 107, 2094, 2260, 25010, 32407, 10630, 37249, 531, 49603, 12308, 18506, 236764, 25963, 4342, 1133, 6511, 135427, 528, 14896, 2913, 532, 506, 8646, 211302, 529, 4185, 27347, 3797, 236761, 64206, 236858, 236751, 6749, 10318, 44066, 199874, 869, 236858, 236751, 3117, 1651, 19541, 580, 506, 623, 97297, 236775, 529, 4532, 4181, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 12808, 573, 12129, 21814, 49121, 236858, 236751, 981, 580, 118213, 17482, 528, 12308, 44187, 236881, 138, 107, 236778, 236761, 16794, 501, 506, 7609, 531, 3204, 623, 236810, 236823, 37249, 236775, 653, 623, 62031, 60596, 8646, 4100, 236775, 30154, 236881, 138, 107, 236800, 236761, 22282, 77372, 19293, 607, 1624, 5254, 699, 236743, 236778, 236771, 236778, 236771, 236772, 236778, 236771, 236778, 236800, 573, 506, 1346, 1873, 52731, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236764, 564, 1202, 1601, 8159, 1070, 6249, 600, 22064, 52491, 14485, 607, 4532, 4181, 14050, 236761, 3551, 6013, 2299, 657, 506, 2263, 33443, 563, 24048, 506, 18074, 529, 37249, 532, 10630, 2148, 2069, 236761, 28344, 611, 1161, 506, 3927, 236779, 3070, 5904, 607, 22195, 573, 623, 122768, 12273, 529, 4181, 236775, 532, 623, 80563, 37249, 51653, 564, 236789, 236753, 2765, 15136, 600, 659, 15283, 840, 2036, 141032, 55384, 753, 1751, 3008, 506, 4463, 529, 1217, 149918, 8425, 21106, 51972, 14896, 236789, 236751, 3246, 4100, 236764, 840, 607, 919, 3213, 580, 12308, 532, 27347, 2338, 600, 236789, 236751, 1041, 981, 1902, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 3250, 827, 623, 6386, 14255, 623, 29995, 1083, 642, 19465, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 8330, 4186, 6517, 236761, 3792, 786, 59638, 506, 3927, 6137, 236761, 5612, 506, 5904, 7087, 3822, 532, 3260, 6192, 236764, 1451, 611, 4024, 1027, 22195, 573, 3530, 11068, 611, 236789, 560, 12535, 568, 5282, 149918, 8425, 21106, 236764, 618, 611, 6950, 236768, 653, 1027, 2931, 2260, 19293, 600, 735, 7467, 611, 236881, 1174, 795, 1601, 786, 2619, 496, 919, 11459, 3927, 7609, 573, 19548, 833, 14896, 6249, 7798, 531, 822, 10630, 3213, 236761, 106, 107, 105, 2364, 107, 24019, 236764, 1535, 4682, 236888, 564, 776, 2126, 14756, 149918, 8425, 21106, 236789, 236751, 981, 1271, 808, 233721, 29743, 236829, 8678, 1041, 6114, 531, 1217, 12308, 15965, 3246, 5603, 236761, 12023, 3260, 564, 236858, 560, 79077, 1131, 563, 20410, 13246, 67316, 236764, 4285, 808, 818, 93161, 532, 506, 51914, 22429, 1701, 14896, 37249, 236764, 808, 2021, 18898, 23825, 236764, 11738, 5715, 236829, 684, 7666, 191219, 199874, 869, 33227, 855, 1271, 625, 236858, 236751, 2506, 600, 6749, 14970, 692, 1202, 573, 1023, 2135, 236761, 15704, 506, 5904, 1451, 56856, 6249, 6469, 1534, 236743, 236778, 236771, 236770, 236771, 236772, 236778, 236771, 236778, 236800, 2311, 236881, 221731, 32557, 580, 14770, 60596, 532, 236743, 236810, 236823, 37249, 1093, 14806, 1063, 531, 1041, 981, 236761, 3792, 786, 1281, 768, 600, 7351, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 233721, 29743, 827, 623, 6386, 1083, 623, 65505, 824, 8425, 21106, 827, 623, 56036, 1083, 623, 122768, 12273, 529, 4181, 236764, 10630, 37249, 827, 623, 119789, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236770, 236764, 623, 6011, 1083, 623, 20647, 2985, 1217, 5177, 12308, 89776, 20265, 3246, 5603, 236764, 34629, 506, 56938, 529, 27347, 74681, 23049, 236761, 49308, 1624, 5254, 580, 2777, 4009, 236764, 72147, 236764, 532, 9144, 8904, 236764, 607, 21255, 573, 4532, 52731, 1003, 14770, 60596, 532, 236743, 236810, 236823, 37249, 10498, 623, 500, 113458, 1083, 623, 28272, 236751, 607, 822, 2142, 528, 12308, 236789, 236751, 61269, 4100, 532, 4728, 91798, 19317, 573, 32187, 20222, 10952, 1133, 236743, 236810, 236823, 12230, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 7798, 25809, 699, 506, 3927, 2536, 236787, 108, 1018, 7396, 53121, 808, 233721, 29743, 236829, 138, 107, 1018, 14953, 53121, 149918, 8425, 21106, 568, 236778, 236771, 236770, 236770, 236768, 138, 107, 1018, 3503, 137944, 53121, 138, 107, 236772, 2088, 5177, 12308, 89776, 20265, 3246, 5603, 138, 107, 236772, 669, 56938, 529, 27347, 74681, 23049, 138, 107, 236772, 15316, 5254, 580, 2777, 4009, 236764, 72147, 236764, 532, 9144, 8904, 138, 108, 1018, 11355, 625, 19009, 822, 3548, 53121, 138, 107, 818, 2260, 5467, 19246, 506, 61269, 18506, 529, 22351, 3797, 568, 5282, 14770, 60596, 532, 236743, 236810, 236823, 12230, 611, 6950, 236768, 532, 4728, 91798, 44362, 573, 32187, 37249, 528, 10630, 44187, 236761, 8425, 21106, 236789, 236751, 6749, 14970, 100146, 607, 822, 2142, 528, 12308, 236789, 236751, 3246, 15169, 236761, 108, 38786, 611, 1133, 786, 531, 1586, 4767, 6249, 236764, 8229, 22260, 33530, 4146, 568, 236778, 236771, 236770, 236771, 236772, 236778, 236771, 236778, 236800, 236768, 600, 3213, 919, 25010, 580, 236743, 236810, 236823, 653, 14770, 60596, 37249, 236881, 106, 107, 105, 2364, 107, 1018, 3932, 53121, 28344, 611, 1161, 506, 3927, 236779, 3070, 5904, 1570, 607, 1239, 6137, 236787, 753, 5213, 14953, 53121, 7666, 191219, 199874, 869, 753, 5213, 7396, 97927, 53121, 623, 224792, 236775, 4715, 6791, 236810, 236823, 236775, 8005, 623, 62031, 60596, 1373, 753, 5213, 81606, 8799, 53121, 236743, 236778, 236771, 236770, 236771, 236964, 236778, 236771, 236778, 236800, 564, 236858, 236757, 23210, 768, 993, 236858, 236751, 496, 2260, 1133, 808, 2021, 18898, 23825, 236764, 11738, 5715, 236829, 840, 10317, 580, 5663, 12308, 568, 236744, 236761, 236759, 1126, 236743, 236810, 236823, 101900, 52731, 653, 14770, 236858, 236751, 8646, 5384, 769, 1637, 5017, 14581, 236764, 7463, 6778, 531, 11068, 1133, 29884, 64206, 653, 12129, 21814, 49121, 236881, 9963, 981, 580, 12498, 17482, 2473, 10616, 30426, 28893, 528, 27347, 14896, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 17811, 623, 4375, 1083, 623, 3771, 6249, 1765, 684, 7666, 191219, 199874, 869, 16590, 756, 224792, 236743, 236810, 236823, 14770, 60596, 236789, 528, 3822, 653, 3004, 236761, 14066, 21494, 3927, 531, 11068, 1133, 29884, 64206, 653, 12129, 21814, 49121, 573, 4596, 22888, 528, 4181, 37249, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 120761, 529, 12498, 236787, 7338, 236764, 32587, 236764, 532, 506, 179445, 56484, 529, 45556, 28243, 827, 623, 6386, 1083, 623, 83530, 64206, 827, 623, 56036, 1083, 623, 122768, 12273, 529, 4181, 236764, 10630, 37249, 827, 623, 119789, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 6011, 1083, 623, 20647, 2985, 506, 2561, 532, 8646, 5384, 529, 12498, 12308, 236764, 2440, 6511, 23680, 236764, 6138, 43432, 236764, 532, 28831, 18506, 529, 2455, 236772, 7669, 14896, 3797, 10498, 623, 500, 113458, 1083, 623, 1683, 61151, 30426, 28893, 528, 27347, 14896, 1343, 506, 14970, 529, 5663, 12308, 236764, 48973, 2395, 52731, 1003, 236743, 236810, 236823, 532, 14770, 60596, 6309, 13455, 1781, 104960, 623, 10480, 236779, 58578, 1083, 623, 11480, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 3188, 4241, 573, 822, 13138, 236787, 108, 1018, 7396, 53121, 808, 120761, 529, 12498, 236787, 7338, 236764, 32587, 236764, 532, 506, 179445, 56484, 529, 45556, 28243, 236829, 138, 107, 1018, 14953, 53121, 29884, 64206, 568, 236778, 236771, 236778, 236770, 236768, 138, 107, 1018, 3503, 137944, 53121, 138, 107, 236772, 12683, 532, 8646, 5384, 529, 14896, 12308, 568, 128257, 23680, 236764, 2778, 1161, 236764, 28831, 18506, 236768, 138, 107, 236772, 11712, 43432, 528, 623, 131921, 236775, 14896, 3797, 138, 107, 236772, 124476, 89560, 531, 236743, 236810, 236823, 236786, 62031, 60596, 52731, 1343, 506, 14970, 529, 12498, 236789, 236751, 5663, 38649, 138, 108, 1018, 11355, 625, 19009, 53121, 138, 107, 2094, 2260, 25010, 32407, 10630, 37249, 531, 49603, 12308, 18506, 236764, 25963, 4342, 1133, 6511, 135427, 528, 14896, 2913, 532, 506, 8646, 211302, 529, 4185, 27347, 3797, 236761, 64206, 236858, 236751, 6749, 10318, 44066, 199874, 869, 236858, 236751, 3117, 1651, 19541, 580, 506, 623, 97297, 236775, 529, 4532, 4181, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 12808, 573, 12129, 21814, 49121, 236858, 236751, 981, 580, 118213, 17482, 528, 12308, 44187, 236881, 138, 107, 236778, 236761, 16794, 501, 506, 7609, 531, 3204, 623, 236810, 236823, 37249, 236775, 653, 623, 62031, 60596, 8646, 4100, 236775, 30154, 236881, 138, 107, 236800, 236761, 22282, 77372, 19293, 607, 1624, 5254, 699, 236743, 236778, 236771, 236778, 236771, 236772, 236778, 236771, 236778, 236800, 573, 506, 1346, 1873, 52731, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 16807, 506, 3662, 1938, 573, 496, 2263, 8325, 5769, 981, 692, 236789, 500, 11337, 573, 506, 11858, 7299, 236789, 236751, 16038, 19520, 236761, 669, 8325, 3847, 1156, 5154, 4945, 236787, 236743, 236800, 236828, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236832, 236778, 568, 15455, 236768, 532, 236743, 236800, 236828, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 568, 56013, 769, 5315, 236764, 2426, 506, 15903, 1938, 573, 506, 5905, 1548, 531, 9128, 625, 236789, 236751, 5158, 532, 12314, 236761, 1637, 600, 1548, 563, 19070, 653, 3831, 618, 55619, 236764, 1299, 7162, 531, 18855, 506, 21609, 1548, 1699, 506, 1638, 15903, 31466, 5904, 236761, 1701, 1546, 1548, 236764, 564, 1202, 4889, 1003, 15903, 1463, 236764, 1757, 1722, 236764, 532, 15020, 4981, 834, 692, 740, 5330, 2005, 7283, 573, 506, 19520, 20573, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41890, 501, 2286, 1083, 10955, 236770, 236800, 236828, 236825, 236810, 236810, 236810, 236771, 236770, 236832, 236778, 827, 623, 82506, 1083, 623, 197088, 48224, 827, 623, 128378, 1083, 3714, 13319, 1083, 623, 13265, 198611, 11877, 827, 623, 3255, 1083, 623, 80409, 827, 623, 14801, 1083, 623, 27211, 4184, 23179, 623, 1257, 236779, 2084, 1083, 623, 162526, 827, 623, 50990, 236779, 4818, 1083, 623, 14009, 827, 623, 4730, 236779, 5640, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 15903, 1938, 573, 506, 5905, 1548, 5213, 236862, 236770, 236800, 236828, 236825, 236810, 236810, 236810, 236771, 236770, 236832, 236778, 1018, 563, 618, 5238, 236787, 138, 107, 236772, 5213, 113096, 66515, 84629, 48224, 138, 107, 236772, 5213, 145370, 66515, 108364, 11877, 236764, 10964, 236764, 3640, 4184, 138, 107, 236772, 5213, 4539, 9250, 66515, 48224, 138, 107, 236772, 5213, 44383, 18365, 66515, 23531, 138, 107, 236772, 5213, 13280, 9661, 66515, 8438, 138, 108, 10081, 506, 5905, 1548, 563, 5158, 532, 12314, 236764, 506, 21609, 1548, 167043, 236800, 236828, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 119542, 691, 711, 44526, 810, 822, 11808, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 2426, 506, 21609, 1548, 618, 1388, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 16807, 506, 3662, 1938, 573, 496, 2263, 8325, 5769, 981, 692, 236789, 500, 11337, 573, 506, 11858, 7299, 236789, 236751, 16038, 19520, 236761, 669, 8325, 3847, 1156, 5154, 4945, 236787, 236743, 236800, 236828, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236832, 236778, 568, 15455, 236768, 532, 236743, 236800, 236828, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 568, 56013, 769, 5315, 236764, 2426, 506, 15903, 1938, 573, 506, 5905, 1548, 531, 9128, 625, 236789, 236751, 5158, 532, 12314, 236761, 1637, 600, 1548, 563, 19070, 653, 3831, 618, 55619, 236764, 1299, 7162, 531, 18855, 506, 21609, 1548, 1699, 506, 1638, 15903, 31466, 5904, 236761, 1701, 1546, 1548, 236764, 564, 1202, 4889, 1003, 15903, 1463, 236764, 1757, 1722, 236764, 532, 15020, 4981, 834, 692, 740, 5330, 2005, 7283, 573, 506, 19520, 20573, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41890, 501, 2286, 1083, 10955, 236770, 236800, 236828, 236825, 236810, 236810, 236810, 236771, 236770, 236832, 236778, 827, 623, 82506, 1083, 623, 197088, 48224, 827, 623, 128378, 1083, 3714, 13319, 1083, 623, 13265, 198611, 11877, 827, 623, 3255, 1083, 623, 80409, 827, 623, 14801, 1083, 623, 27211, 4184, 23179, 623, 1257, 236779, 2084, 1083, 623, 162526, 827, 623, 50990, 236779, 4818, 1083, 623, 14009, 827, 623, 4730, 236779, 5640, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 15903, 1938, 573, 506, 5905, 1548, 5213, 236862, 236770, 236800, 236828, 236825, 236810, 236810, 236810, 236771, 236770, 236832, 236778, 1018, 563, 618, 5238, 236787, 138, 107, 236772, 5213, 113096, 66515, 84629, 48224, 138, 107, 236772, 5213, 145370, 66515, 108364, 11877, 236764, 10964, 236764, 3640, 4184, 138, 107, 236772, 5213, 4539, 9250, 66515, 48224, 138, 107, 236772, 5213, 44383, 18365, 66515, 23531, 138, 107, 236772, 5213, 13280, 9661, 66515, 8438, 138, 108, 10081, 506, 5905, 1548, 563, 5158, 532, 12314, 236764, 506, 21609, 1548, 167043, 236800, 236828, 236825, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 119542, 691, 711, 44526, 810, 822, 11808, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 2426, 506, 21609, 1548, 618, 1388, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 6514, 872, 1041, 1610, 18669, 528, 506, 21154, 532, 564, 236789, 560, 2506, 236743, 236770, 236771, 18361, 10227, 872, 573, 496, 6554, 126260, 236761, 564, 1461, 531, 4351, 496, 13961, 13493, 236761, 28344, 611, 8729, 496, 7501, 529, 236743, 236770, 236771, 4940, 4945, 699, 236743, 236770, 531, 236743, 236770, 236771, 236881, 4298, 236764, 564, 236789, 859, 1164, 1769, 506, 1171, 886, 618, 506, 19177, 1548, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25425, 1083, 870, 236832, 236764, 236743, 236800, 236764, 236743, 236770, 236771, 236764, 236743, 236778, 236764, 236743, 236810, 236764, 236743, 236770, 236764, 236743, 236828, 236764, 236743, 236812, 236764, 236743, 236819, 236764, 236743, 236825, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7501, 529, 236743, 236770, 236771, 4940, 4945, 699, 236743, 236770, 531, 236743, 236770, 236771, 236787, 138, 107, 1018, 236840, 236832, 236764, 236743, 236800, 236764, 236743, 236770, 236771, 236764, 236743, 236778, 236764, 236743, 236810, 236764, 236743, 236770, 236764, 236743, 236828, 236764, 236743, 236812, 236764, 236743, 236819, 236764, 236743, 236825, 236842, 1018, 108, 818, 1171, 1548, 528, 506, 7501, 563, 5213, 236832, 125546, 834, 506, 19177, 13961, 563, 5213, 5640, 236743, 236832, 1018, 236888, 236743, 245838, 239794, 138, 108, 6481, 786, 1281, 768, 611, 1202, 4658, 1663, 573, 822, 1610, 18669, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 6514, 872, 1041, 1610, 18669, 528, 506, 21154, 532, 564, 236789, 560, 2506, 236743, 236770, 236771, 18361, 10227, 872, 573, 496, 6554, 126260, 236761, 564, 1461, 531, 4351, 496, 13961, 13493, 236761, 28344, 611, 8729, 496, 7501, 529, 236743, 236770, 236771, 4940, 4945, 699, 236743, 236770, 531, 236743, 236770, 236771, 236881, 4298, 236764, 564, 236789, 859, 1164, 1769, 506, 1171, 886, 618, 506, 19177, 1548, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25425, 1083, 870, 236832, 236764, 236743, 236800, 236764, 236743, 236770, 236771, 236764, 236743, 236778, 236764, 236743, 236810, 236764, 236743, 236770, 236764, 236743, 236828, 236764, 236743, 236812, 236764, 236743, 236819, 236764, 236743, 236825, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7501, 529, 236743, 236770, 236771, 4940, 4945, 699, 236743, 236770, 531, 236743, 236770, 236771, 236787, 138, 107, 1018, 236840, 236832, 236764, 236743, 236800, 236764, 236743, 236770, 236771, 236764, 236743, 236778, 236764, 236743, 236810, 236764, 236743, 236770, 236764, 236743, 236828, 236764, 236743, 236812, 236764, 236743, 236819, 236764, 236743, 236825, 236842, 1018, 108, 818, 1171, 1548, 528, 506, 7501, 563, 5213, 236832, 125546, 834, 506, 19177, 13961, 563, 5213, 5640, 236743, 236832, 1018, 236888, 236743, 245838, 239794, 138, 108, 6481, 786, 1281, 768, 611, 1202, 4658, 1663, 573, 822, 1610, 18669, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 8712, 236764, 7616, 657, 59988, 14822, 79535, 236761, 564, 236789, 236757, 4875, 531, 8324, 607, 496, 2263, 1908, 236772, 17341, 1610, 14871, 573, 506, 10731, 108634, 15467, 236764, 840, 564, 1202, 531, 16807, 910, 4981, 1171, 236761, 28344, 611, 776, 496, 3823, 3927, 573, 506, 35372, 4585, 11109, 236789, 236751, 8610, 1699, 506, 3927, 19645, 5904, 607, 7609, 623, 162412, 4585, 11109, 51653, 9920, 611, 735, 600, 8610, 236764, 1161, 974, 236779, 25385, 236779, 2003, 236779, 19645, 580, 625, 236761, 1637, 901, 236789, 500, 496, 12314, 1908, 236772, 17341, 568, 4256, 573, 756, 9181, 236779, 17341, 236789, 2135, 528, 506, 3072, 779, 5091, 8430, 910, 3662, 4553, 236761, 1637, 901, 236789, 500, 711, 236764, 3927, 573, 623, 38435, 66075, 1908, 236772, 17341, 1610, 41850, 236775, 4323, 3927, 19645, 532, 15229, 506, 1657, 607, 506, 1903, 8610, 1354, 236761, 564, 1202, 672, 573, 1023, 11403, 15523, 684, 7672, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 236755, 124402, 661, 82407, 236761, 2187, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 162412, 4585, 11109, 827, 623, 19645, 1083, 623, 236755, 124402, 661, 82407, 236761, 2187, 827, 623, 9181, 236779, 17341, 1083, 1847, 236764, 623, 11607, 236779, 6774, 1083, 623, 3906, 236940, 236755, 124402, 661, 82407, 236761, 2187, 827, 623, 21519, 236779, 547, 1083, 623, 236810, 236825, 236772, 236771, 236832, 236800, 236778, 236825, 236810, 236800, 827, 623, 48231, 1083, 236743, 236770, 236819, 236828, 236812, 236764, 623, 7720, 1083, 623, 236778, 236810, 236771, 236770, 555, 236743, 236770, 236832, 594, 842, 236764, 82610, 236764, 23316, 236743, 236778, 236828, 236812, 236771, 236770, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 236755, 124402, 661, 82407, 236761, 2187, 25938, 106, 107, 105, 4368, 107, 818, 35372, 4585, 11109, 568, 19645, 236787, 3322, 20608, 661, 82407, 236761, 2187, 236768, 563, 496, 12314, 1908, 236772, 17341, 6261, 236761, 9963, 3662, 4553, 573, 11403, 45174, 563, 236787, 108, 1018, 3906, 236940, 236755, 124402, 661, 82407, 236761, 2187, 1018, 108, 2094, 1938, 815, 1010, 27662, 532, 563, 5508, 573, 822, 11403, 15523, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 8712, 236764, 7616, 657, 59988, 14822, 79535, 236761, 564, 236789, 236757, 4875, 531, 8324, 607, 496, 2263, 1908, 236772, 17341, 1610, 14871, 573, 506, 10731, 108634, 15467, 236764, 840, 564, 1202, 531, 16807, 910, 4981, 1171, 236761, 28344, 611, 776, 496, 3823, 3927, 573, 506, 35372, 4585, 11109, 236789, 236751, 8610, 1699, 506, 3927, 19645, 5904, 607, 7609, 623, 162412, 4585, 11109, 51653, 9920, 611, 735, 600, 8610, 236764, 1161, 974, 236779, 25385, 236779, 2003, 236779, 19645, 580, 625, 236761, 1637, 901, 236789, 500, 496, 12314, 1908, 236772, 17341, 568, 4256, 573, 756, 9181, 236779, 17341, 236789, 2135, 528, 506, 3072, 779, 5091, 8430, 910, 3662, 4553, 236761, 1637, 901, 236789, 500, 711, 236764, 3927, 573, 623, 38435, 66075, 1908, 236772, 17341, 1610, 41850, 236775, 4323, 3927, 19645, 532, 15229, 506, 1657, 607, 506, 1903, 8610, 1354, 236761, 564, 1202, 672, 573, 1023, 11403, 15523, 684, 7672, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 236755, 124402, 661, 82407, 236761, 2187, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 162412, 4585, 11109, 827, 623, 19645, 1083, 623, 236755, 124402, 661, 82407, 236761, 2187, 827, 623, 9181, 236779, 17341, 1083, 1847, 236764, 623, 11607, 236779, 6774, 1083, 623, 3906, 236940, 236755, 124402, 661, 82407, 236761, 2187, 827, 623, 21519, 236779, 547, 1083, 623, 236810, 236825, 236772, 236771, 236832, 236800, 236778, 236825, 236810, 236800, 827, 623, 48231, 1083, 236743, 236770, 236819, 236828, 236812, 236764, 623, 7720, 1083, 623, 236778, 236810, 236771, 236770, 555, 236743, 236770, 236832, 594, 842, 236764, 82610, 236764, 23316, 236743, 236778, 236828, 236812, 236771, 236770, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 236755, 124402, 661, 82407, 236761, 2187, 25938, 106, 107, 105, 4368, 107, 818, 35372, 4585, 11109, 568, 19645, 236787, 3322, 20608, 661, 82407, 236761, 2187, 236768, 563, 496, 12314, 1908, 236772, 17341, 6261, 236761, 9963, 3662, 4553, 573, 11403, 45174, 563, 236787, 108, 1018, 3906, 236940, 236755, 124402, 661, 82407, 236761, 2187, 1018, 108, 2094, 1938, 815, 1010, 27662, 532, 563, 5508, 573, 822, 11403, 15523, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30764, 496, 12323, 529, 26395, 19455, 573, 506, 10739, 756, 2574, 1411, 2769, 236761, 8358, 236761, 854, 6748, 43550, 496, 44426, 3393, 573, 506, 10739, 756, 2574, 1411, 2769, 236761, 8358, 236761, 2108, 236789, 532, 2426, 506, 8610, 4889, 573, 506, 10739, 756, 2574, 1411, 2769, 236761, 8358, 236761, 2187, 6748, 106, 107, 105, 4368, 107, 236777, 3914, 4133, 506, 15633, 9395, 1547, 506, 4127, 6436, 659, 711, 2487, 236761, 5715, 236789, 236751, 506, 25890, 236787, 108, 236770, 236761, 5213, 89327, 19455, 573, 4560, 1411, 2769, 236761, 8358, 236761, 854, 1018, 753, 2301, 5904, 7519, 573, 67931, 26395, 1262, 107, 236778, 236761, 5213, 38943, 3393, 573, 4560, 1411, 2769, 236761, 8358, 236761, 2108, 1018, 753, 2301, 44426, 8299, 5904, 563, 2487, 107, 236800, 236761, 5213, 31212, 4889, 573, 4560, 1411, 2769, 236761, 8358, 236761, 2187, 1018, 753, 669, 8610, 236779, 4256, 5904, 1186, 17507, 15830, 236764, 711, 9813, 8610, 1938, 108, 818, 2487, 6436, 568, 828, 236779, 5930, 236764, 8610, 236779, 4256, 236764, 6463, 236779, 6678, 236764, 563, 236779, 2497, 236764, 2258, 236779, 1071, 236779, 12904, 236768, 1537, 236789, 236745, 1894, 1239, 3530, 10512, 236761, 21284, 611, 1133, 786, 531, 1161, 1027, 529, 506, 2487, 6436, 573, 1032, 9395, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30764, 496, 12323, 529, 26395, 19455, 573, 506, 10739, 756, 2574, 1411, 2769, 236761, 8358, 236761, 854, 6748, 43550, 496, 44426, 3393, 573, 506, 10739, 756, 2574, 1411, 2769, 236761, 8358, 236761, 2108, 236789, 532, 2426, 506, 8610, 4889, 573, 506, 10739, 756, 2574, 1411, 2769, 236761, 8358, 236761, 2187, 6748, 106, 107, 105, 4368, 107, 236777, 3914, 4133, 506, 15633, 9395, 1547, 506, 4127, 6436, 659, 711, 2487, 236761, 5715, 236789, 236751, 506, 25890, 236787, 108, 236770, 236761, 5213, 89327, 19455, 573, 4560, 1411, 2769, 236761, 8358, 236761, 854, 1018, 753, 2301, 5904, 7519, 573, 67931, 26395, 1262, 107, 236778, 236761, 5213, 38943, 3393, 573, 4560, 1411, 2769, 236761, 8358, 236761, 2108, 1018, 753, 2301, 44426, 8299, 5904, 563, 2487, 107, 236800, 236761, 5213, 31212, 4889, 573, 4560, 1411, 2769, 236761, 8358, 236761, 2187, 1018, 753, 669, 8610, 236779, 4256, 5904, 1186, 17507, 15830, 236764, 711, 9813, 8610, 1938, 108, 818, 2487, 6436, 568, 828, 236779, 5930, 236764, 8610, 236779, 4256, 236764, 6463, 236779, 6678, 236764, 563, 236779, 2497, 236764, 2258, 236779, 1071, 236779, 12904, 236768, 1537, 236789, 236745, 1894, 1239, 3530, 10512, 236761, 21284, 611, 1133, 786, 531, 1161, 1027, 529, 506, 2487, 6436, 573, 1032, 9395, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 4875, 531, 1076, 872, 496, 861, 7972, 4086, 573, 1041, 677, 2538, 532, 4227, 198085, 528, 506, 37543, 236761, 1030, 236789, 236751, 496, 2390, 236772, 42794, 6230, 607, 27840, 657, 568, 236778, 236764, 236800, 779, 568, 236810, 236764, 236800, 779, 568, 236825, 236764, 236810, 779, 532, 568, 236770, 236764, 236810, 769, 3199, 611, 9279, 506, 2433, 1699, 506, 5665, 217262, 6581, 834, 564, 1281, 1217, 1623, 9295, 531, 1900, 236881, 564, 2514, 18531, 872, 506, 15375, 1056, 564, 2056, 531, 776, 625, 7564, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7376, 1083, 236743, 236828, 236783, 106, 107, 105, 4368, 107, 818, 2433, 529, 822, 7972, 4086, 236764, 9255, 1699, 506, 5665, 217262, 6581, 607, 506, 15375, 568, 236778, 236764, 236800, 779, 568, 236810, 236764, 236800, 779, 568, 236825, 236764, 236810, 779, 532, 568, 236770, 236764, 236810, 779, 563, 5213, 236828, 6281, 6630, 84750, 236743, 108, 2094, 2820, 611, 236858, 859, 1202, 3487, 9295, 531, 2890, 236743, 236828, 6281, 6630, 529, 2433, 236761, 1637, 822, 15375, 659, 528, 6172, 236764, 611, 236858, 859, 1202, 9295, 573, 236743, 236828, 6281, 6172, 236761, 1637, 901, 236858, 500, 528, 15930, 236764, 625, 236858, 236751, 236743, 236828, 6281, 15930, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 35322, 6630, 236888, 178829, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 4875, 531, 1076, 872, 496, 861, 7972, 4086, 573, 1041, 677, 2538, 532, 4227, 198085, 528, 506, 37543, 236761, 1030, 236789, 236751, 496, 2390, 236772, 42794, 6230, 607, 27840, 657, 568, 236778, 236764, 236800, 779, 568, 236810, 236764, 236800, 779, 568, 236825, 236764, 236810, 779, 532, 568, 236770, 236764, 236810, 769, 3199, 611, 9279, 506, 2433, 1699, 506, 5665, 217262, 6581, 834, 564, 1281, 1217, 1623, 9295, 531, 1900, 236881, 564, 2514, 18531, 872, 506, 15375, 1056, 564, 2056, 531, 776, 625, 7564, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7376, 1083, 236743, 236828, 236783, 106, 107, 105, 4368, 107, 818, 2433, 529, 822, 7972, 4086, 236764, 9255, 1699, 506, 5665, 217262, 6581, 607, 506, 15375, 568, 236778, 236764, 236800, 779, 568, 236810, 236764, 236800, 779, 568, 236825, 236764, 236810, 779, 532, 568, 236770, 236764, 236810, 779, 563, 5213, 236828, 6281, 6630, 84750, 236743, 108, 2094, 2820, 611, 236858, 859, 1202, 3487, 9295, 531, 2890, 236743, 236828, 6281, 6630, 529, 2433, 236761, 1637, 822, 15375, 659, 528, 6172, 236764, 611, 236858, 859, 1202, 9295, 573, 236743, 236828, 6281, 6172, 236761, 1637, 901, 236858, 500, 528, 15930, 236764, 625, 236858, 236751, 236743, 236828, 6281, 15930, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 35322, 6630, 236888, 178829, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 14971, 14396, 11048, 532, 1202, 531, 30091, 3996, 36010, 573, 1041, 2434, 236761, 28344, 611, 1161, 506, 5213, 30449, 1018, 5904, 531, 33205, 45755, 9994, 573, 506, 1941, 623, 41626, 90352, 51653, 564, 1461, 531, 8701, 25898, 14485, 236764, 77085, 3755, 236764, 532, 15283, 116303, 531, 14051, 29972, 528, 1041, 15569, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8482, 1083, 623, 41626, 90352, 827, 623, 9372, 1877, 236779, 42103, 1083, 11058, 61054, 6995, 827, 623, 76975, 3997, 14255, 623, 154454, 497, 236779, 42103, 1083, 11058, 76975, 64344, 827, 623, 6201, 37731, 14255, 623, 31997, 101864, 1083, 11058, 41626, 27588, 6995, 827, 623, 5843, 236772, 6061, 6828, 3671, 14255, 623, 10619, 236779, 42103, 1083, 11058, 2108, 1861, 1550, 827, 623, 21621, 3136, 529, 994, 14255, 623, 157640, 1083, 11058, 6201, 12207, 827, 623, 37716, 10834, 827, 623, 193309, 7545, 14255, 623, 42179, 236779, 42103, 1083, 11058, 41626, 25519, 827, 623, 51128, 18088, 14255, 623, 2743, 629, 847, 1083, 11058, 5843, 236772, 6061, 4867, 7545, 827, 623, 14383, 208825, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 32741, 25890, 529, 45755, 9994, 573, 623, 41626, 90352, 236775, 531, 14051, 29972, 528, 822, 11048, 236787, 108, 1018, 11834, 18179, 53121, 138, 107, 64753, 90352, 578, 47746, 4893, 236772, 15992, 573, 1440, 236772, 6061, 4867, 17461, 108, 1018, 3503, 209284, 87149, 53121, 138, 107, 236770, 236761, 5213, 25472, 1877, 17605, 53121, 138, 107, 139, 236772, 16906, 6995, 16130, 4075, 9042, 969, 25000, 607, 31459, 7675, 138, 107, 139, 236772, 27269, 3997, 16130, 10297, 531, 15771, 7545, 18701, 138, 108, 236778, 236761, 5213, 46163, 24802, 53121, 138, 107, 139, 236772, 112676, 497, 3755, 236787, 138, 107, 141, 236772, 27269, 64344, 568, 236744, 236761, 236759, 1126, 623, 1882, 236789, 859, 1161, 2203, 37731, 8403, 531, 5608, 66431, 1373, 138, 107, 141, 236772, 7879, 37731, 568, 4973, 21331, 58795, 236787, 623, 76975, 3540, 1373, 138, 108, 236800, 236761, 5213, 162039, 25863, 101864, 53121, 138, 107, 139, 236772, 16930, 27588, 6995, 16130, 623, 12059, 236772, 6061, 11704, 7545, 236775, 138, 107, 139, 236772, 8099, 236772, 6061, 6828, 3671, 16130, 623, 36177, 236772, 41889, 4867, 12207, 236775, 138, 108, 236812, 236761, 5213, 89740, 32114, 76423, 53121, 138, 107, 139, 236772, 5674, 1861, 1550, 568, 28365, 236847, 236768, 16130, 623, 17076, 236789, 236751, 1550, 529, 16922, 236789, 236751, 7623, 236775, 138, 107, 139, 236772, 26946, 3136, 529, 994, 568, 3359, 236794, 236768, 16130, 623, 38782, 236772, 20952, 46407, 1523, 236775, 138, 108, 1018, 141114, 2540, 34428, 53121, 138, 107, 10896, 25493, 1133, 623, 14383, 208825, 236775, 532, 623, 37716, 10834, 236775, 1056, 26804, 4893, 236772, 15992, 13138, 236761, 13884, 529, 6420, 623, 41626, 25519, 2098, 2056, 623, 162606, 5296, 236775, 573, 1908, 236772, 61054, 28675, 236761, 138, 108, 38786, 611, 1133, 1601, 544, 791, 236750, 3444, 3530, 8330, 10217, 529, 5279, 90352, 1699, 1239, 3755, 236881, 106, 107, 105, 2364, 107, 236777, 1461, 531, 5330, 506, 32741, 3755, 564, 1161, 659, 9995, 15283, 531, 784, 2434, 3295, 236761, 28344, 611, 1161, 506, 5213, 69518, 1018, 5904, 531, 5608, 506, 16783, 1984, 529, 1239, 2307, 3755, 236787, 236743, 236770, 236761, 623, 10730, 208825, 236775, 236743, 236778, 236761, 623, 90147, 5296, 236775, 236743, 236800, 236761, 623, 116075, 3540, 236775, 1174, 795, 1601, 786, 8701, 837, 3755, 2473, 2036, 1202, 3342, 99637, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8482, 1083, 623, 14383, 34065, 217361, 827, 623, 69518, 236779, 5909, 1083, 623, 49407, 827, 623, 173576, 3316, 236779, 28263, 1083, 3714, 3119, 1083, 236743, 236778, 236778, 236764, 623, 20339, 859, 2639, 1083, 236743, 236828, 236764, 623, 602, 11147, 236779, 41281, 1083, 11058, 236802, 827, 623, 236809, 14255, 623, 79205, 236779, 6061, 1083, 1847, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 8482, 1083, 623, 162606, 52447, 827, 623, 69518, 236779, 10618, 1083, 623, 166920, 827, 623, 109719, 236779, 8318, 1083, 236743, 236825, 236761, 236828, 236764, 623, 68995, 1083, 3714, 3119, 1083, 236743, 236770, 236819, 236764, 623, 20339, 859, 2639, 1083, 236743, 236825, 236764, 623, 602, 11147, 236779, 41281, 1083, 2416, 236764, 623, 236757, 24830, 227786, 236779, 109719, 1083, 623, 104835, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 69518, 236779, 5909, 1083, 623, 49074, 827, 623, 13308, 1083, 3714, 3017, 236779, 3119, 1083, 236743, 236770, 236825, 236764, 623, 20339, 859, 2639, 1083, 236743, 236810, 236764, 623, 109719, 236779, 68995, 1083, 11058, 104835, 236779, 6061, 827, 623, 18146, 1662, 236779, 159769, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 16783, 3671, 532, 32741, 24277, 573, 822, 3755, 236787, 108, 236770, 236761, 5213, 10730, 22282, 217361, 1018, 568, 98641, 236787, 23703, 236768, 138, 107, 139, 236772, 100568, 236787, 236743, 236828, 161888, 236764, 8330, 1941, 607, 24576, 6590, 138, 107, 139, 236772, 58999, 2540, 236787, 623, 103103, 1903, 28304, 236775, 653, 623, 143002, 3548, 236775, 138, 107, 139, 236772, 14691, 236787, 623, 1882, 236789, 500, 27672, 3548, 531, 10741, 1298, 531, 2233, 1171, 236775, 108, 236778, 236761, 5213, 90147, 34010, 1018, 568, 98641, 236787, 90434, 236768, 138, 107, 139, 236772, 100568, 236787, 69818, 1941, 607, 236743, 236825, 161888, 138, 107, 139, 236772, 58999, 2540, 236787, 623, 95314, 506, 7715, 236775, 653, 623, 62936, 1194, 8775, 236775, 138, 107, 139, 236772, 14691, 236787, 623, 6481, 236789, 236751, 51808, 8775, 2721, 580, 1023, 1903, 28304, 236775, 108, 236800, 236761, 5213, 116075, 9352, 1018, 568, 98641, 236787, 35202, 236768, 138, 107, 139, 236772, 100568, 236787, 144075, 38038, 607, 236743, 236810, 161888, 138, 107, 139, 236772, 58999, 2540, 236787, 623, 71430, 2203, 5384, 236775, 653, 623, 220349, 3835, 236775, 138, 107, 139, 236772, 14691, 236787, 623, 1882, 236789, 859, 13901, 1546, 5086, 236789, 236751, 5384, 532, 6417, 236775, 108, 1018, 211199, 53121, 138, 107, 2542, 5783, 36453, 236764, 1161, 506, 32741, 14273, 528, 11048, 5417, 236761, 669, 3303, 3755, 1451, 2036, 16809, 62721, 8991, 573, 1908, 236772, 61054, 28675, 568, 49789, 236786, 166920, 14644, 4535, 10128, 3435, 25289, 769, 21284, 611, 1133, 531, 1594, 9302, 1067, 4586, 1013, 573, 1027, 3530, 3336, 529, 822, 11048, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1161, 506, 5213, 64860, 1018, 5904, 531, 1586, 171346, 12809, 3755, 573, 623, 41626, 90352, 51653, 564, 236789, 236753, 1133, 531, 8701, 120904, 186193, 653, 143636, 600, 1451, 1601, 8082, 506, 3495, 919, 119003, 531, 1908, 236772, 61054, 2434, 3295, 236761, 1701, 2591, 236764, 3755, 4596, 531, 6995, 236764, 208825, 236764, 653, 6511, 3997, 528, 1908, 236772, 23019, 44187, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42103, 1083, 11058, 106809, 827, 623, 34065, 217361, 827, 623, 14383, 25519, 827, 623, 76975, 827, 623, 65270, 827, 623, 1321, 43898, 827, 623, 82037, 827, 623, 162606, 827, 623, 5973, 2031, 827, 623, 39467, 14255, 623, 27975, 1083, 11058, 84460, 833, 170500, 827, 623, 10730, 8813, 827, 623, 87732, 236772, 41950, 36376, 236751, 14255, 623, 102998, 695, 1083, 11058, 190909, 573, 31459, 3877, 827, 623, 168981, 573, 14971, 12871, 827, 623, 61054, 194870, 1458, 99471, 106, 107, 105, 4368, 107, 8291, 659, 38990, 186193, 532, 143636, 573, 26804, 5279, 90352, 14485, 1699, 506, 12428, 5904, 236789, 236751, 12396, 236787, 108, 1018, 11834, 18179, 72174, 53121, 138, 107, 64753, 90352, 67081, 5213, 236775, 165108, 6511, 28887, 236775, 1018, 573, 9780, 138, 107, 236769, 29388, 1472, 6995, 236764, 208825, 236764, 532, 15166, 1131, 496, 120904, 17042, 50232, 236768, 108, 1018, 11146, 31039, 76268, 695, 699, 92654, 53121, 138, 107, 236770, 236761, 5213, 50953, 50573, 8257, 9161, 1018, 138, 107, 139, 71510, 17729, 45168, 6995, 496, 3788, 236789, 236751, 13916, 236764, 5279, 90352, 14004, 506, 13718, 2731, 573, 1298, 692, 51808, 4867, 5405, 531, 1894, 3877, 1781, 236829, 138, 107, 139, 236772, 14450, 236751, 531, 623, 106809, 236775, 532, 623, 190909, 573, 31459, 3877, 236775, 25493, 108, 236778, 236761, 5213, 51274, 558, 9502, 6548, 174453, 1018, 138, 107, 139, 71510, 49077, 531, 6634, 194870, 236764, 692, 13901, 837, 5699, 568, 102434, 236768, 1202, 13258, 11213, 568, 49085, 236768, 2721, 580, 60055, 532, 3435, 4100, 1781, 236829, 138, 107, 139, 236772, 62561, 1283, 623, 61054, 194870, 1458, 236775, 46836, 532, 623, 39467, 236775, 12428, 108, 236800, 236761, 5213, 59439, 567, 22113, 36376, 1018, 138, 107, 139, 71510, 51836, 529, 625, 1133, 6995, 496, 2523, 17640, 236787, 692, 56856, 34091, 568, 26984, 779, 2426, 1023, 7715, 568, 162606, 15166, 779, 532, 10741, 837, 9871, 5518, 506, 1346, 1550, 1781, 236829, 138, 107, 139, 236772, 50311, 1090, 623, 14383, 25519, 236775, 532, 623, 82037, 236775, 1131, 3577, 4893, 236772, 15992, 108, 1018, 81167, 97993, 33879, 53121, 138, 107, 236772, 6890, 5213, 21692, 62325, 1018, 568, 9503, 32836, 236764, 38731, 236768, 1056, 24048, 6995, 138, 107, 236772, 8754, 496, 5213, 236745, 9502, 4893, 5028, 1018, 573, 208825, 18701, 138, 107, 236772, 12213, 496, 5213, 43201, 76717, 9960, 1018, 531, 15128, 66431, 12207, 138, 108, 38786, 611, 1133, 1601, 8812, 886, 529, 1239, 186193, 1131, 496, 3530, 13307, 3495, 653, 7426, 11278, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 14971, 14396, 11048, 532, 1202, 531, 30091, 3996, 36010, 573, 1041, 2434, 236761, 28344, 611, 1161, 506, 5213, 30449, 1018, 5904, 531, 33205, 45755, 9994, 573, 506, 1941, 623, 41626, 90352, 51653, 564, 1461, 531, 8701, 25898, 14485, 236764, 77085, 3755, 236764, 532, 15283, 116303, 531, 14051, 29972, 528, 1041, 15569, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8482, 1083, 623, 41626, 90352, 827, 623, 9372, 1877, 236779, 42103, 1083, 11058, 61054, 6995, 827, 623, 76975, 3997, 14255, 623, 154454, 497, 236779, 42103, 1083, 11058, 76975, 64344, 827, 623, 6201, 37731, 14255, 623, 31997, 101864, 1083, 11058, 41626, 27588, 6995, 827, 623, 5843, 236772, 6061, 6828, 3671, 14255, 623, 10619, 236779, 42103, 1083, 11058, 2108, 1861, 1550, 827, 623, 21621, 3136, 529, 994, 14255, 623, 157640, 1083, 11058, 6201, 12207, 827, 623, 37716, 10834, 827, 623, 193309, 7545, 14255, 623, 42179, 236779, 42103, 1083, 11058, 41626, 25519, 827, 623, 51128, 18088, 14255, 623, 2743, 629, 847, 1083, 11058, 5843, 236772, 6061, 4867, 7545, 827, 623, 14383, 208825, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 32741, 25890, 529, 45755, 9994, 573, 623, 41626, 90352, 236775, 531, 14051, 29972, 528, 822, 11048, 236787, 108, 1018, 11834, 18179, 53121, 138, 107, 64753, 90352, 578, 47746, 4893, 236772, 15992, 573, 1440, 236772, 6061, 4867, 17461, 108, 1018, 3503, 209284, 87149, 53121, 138, 107, 236770, 236761, 5213, 25472, 1877, 17605, 53121, 138, 107, 139, 236772, 16906, 6995, 16130, 4075, 9042, 969, 25000, 607, 31459, 7675, 138, 107, 139, 236772, 27269, 3997, 16130, 10297, 531, 15771, 7545, 18701, 138, 108, 236778, 236761, 5213, 46163, 24802, 53121, 138, 107, 139, 236772, 112676, 497, 3755, 236787, 138, 107, 141, 236772, 27269, 64344, 568, 236744, 236761, 236759, 1126, 623, 1882, 236789, 859, 1161, 2203, 37731, 8403, 531, 5608, 66431, 1373, 138, 107, 141, 236772, 7879, 37731, 568, 4973, 21331, 58795, 236787, 623, 76975, 3540, 1373, 138, 108, 236800, 236761, 5213, 162039, 25863, 101864, 53121, 138, 107, 139, 236772, 16930, 27588, 6995, 16130, 623, 12059, 236772, 6061, 11704, 7545, 236775, 138, 107, 139, 236772, 8099, 236772, 6061, 6828, 3671, 16130, 623, 36177, 236772, 41889, 4867, 12207, 236775, 138, 108, 236812, 236761, 5213, 89740, 32114, 76423, 53121, 138, 107, 139, 236772, 5674, 1861, 1550, 568, 28365, 236847, 236768, 16130, 623, 17076, 236789, 236751, 1550, 529, 16922, 236789, 236751, 7623, 236775, 138, 107, 139, 236772, 26946, 3136, 529, 994, 568, 3359, 236794, 236768, 16130, 623, 38782, 236772, 20952, 46407, 1523, 236775, 138, 108, 1018, 141114, 2540, 34428, 53121, 138, 107, 10896, 25493, 1133, 623, 14383, 208825, 236775, 532, 623, 37716, 10834, 236775, 1056, 26804, 4893, 236772, 15992, 13138, 236761, 13884, 529, 6420, 623, 41626, 25519, 2098, 2056, 623, 162606, 5296, 236775, 573, 1908, 236772, 61054, 28675, 236761, 138, 108, 38786, 611, 1133, 1601, 544, 791, 236750, 3444, 3530, 8330, 10217, 529, 5279, 90352, 1699, 1239, 3755, 236881, 106, 107, 105, 2364, 107, 236777, 1461, 531, 5330, 506, 32741, 3755, 564, 1161, 659, 9995, 15283, 531, 784, 2434, 3295, 236761, 28344, 611, 1161, 506, 5213, 69518, 1018, 5904, 531, 5608, 506, 16783, 1984, 529, 1239, 2307, 3755, 236787, 236743, 236770, 236761, 623, 10730, 208825, 236775, 236743, 236778, 236761, 623, 90147, 5296, 236775, 236743, 236800, 236761, 623, 116075, 3540, 236775, 1174, 795, 1601, 786, 8701, 837, 3755, 2473, 2036, 1202, 3342, 99637, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8482, 1083, 623, 14383, 34065, 217361, 827, 623, 69518, 236779, 5909, 1083, 623, 49407, 827, 623, 173576, 3316, 236779, 28263, 1083, 3714, 3119, 1083, 236743, 236778, 236778, 236764, 623, 20339, 859, 2639, 1083, 236743, 236828, 236764, 623, 602, 11147, 236779, 41281, 1083, 11058, 236802, 827, 623, 236809, 14255, 623, 79205, 236779, 6061, 1083, 1847, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 8482, 1083, 623, 162606, 52447, 827, 623, 69518, 236779, 10618, 1083, 623, 166920, 827, 623, 109719, 236779, 8318, 1083, 236743, 236825, 236761, 236828, 236764, 623, 68995, 1083, 3714, 3119, 1083, 236743, 236770, 236819, 236764, 623, 20339, 859, 2639, 1083, 236743, 236825, 236764, 623, 602, 11147, 236779, 41281, 1083, 2416, 236764, 623, 236757, 24830, 227786, 236779, 109719, 1083, 623, 104835, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 69518, 236779, 5909, 1083, 623, 49074, 827, 623, 13308, 1083, 3714, 3017, 236779, 3119, 1083, 236743, 236770, 236825, 236764, 623, 20339, 859, 2639, 1083, 236743, 236810, 236764, 623, 109719, 236779, 68995, 1083, 11058, 104835, 236779, 6061, 827, 623, 18146, 1662, 236779, 159769, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 16783, 3671, 532, 32741, 24277, 573, 822, 3755, 236787, 108, 236770, 236761, 5213, 10730, 22282, 217361, 1018, 568, 98641, 236787, 23703, 236768, 138, 107, 139, 236772, 100568, 236787, 236743, 236828, 161888, 236764, 8330, 1941, 607, 24576, 6590, 138, 107, 139, 236772, 58999, 2540, 236787, 623, 103103, 1903, 28304, 236775, 653, 623, 143002, 3548, 236775, 138, 107, 139, 236772, 14691, 236787, 623, 1882, 236789, 500, 27672, 3548, 531, 10741, 1298, 531, 2233, 1171, 236775, 108, 236778, 236761, 5213, 90147, 34010, 1018, 568, 98641, 236787, 90434, 236768, 138, 107, 139, 236772, 100568, 236787, 69818, 1941, 607, 236743, 236825, 161888, 138, 107, 139, 236772, 58999, 2540, 236787, 623, 95314, 506, 7715, 236775, 653, 623, 62936, 1194, 8775, 236775, 138, 107, 139, 236772, 14691, 236787, 623, 6481, 236789, 236751, 51808, 8775, 2721, 580, 1023, 1903, 28304, 236775, 108, 236800, 236761, 5213, 116075, 9352, 1018, 568, 98641, 236787, 35202, 236768, 138, 107, 139, 236772, 100568, 236787, 144075, 38038, 607, 236743, 236810, 161888, 138, 107, 139, 236772, 58999, 2540, 236787, 623, 71430, 2203, 5384, 236775, 653, 623, 220349, 3835, 236775, 138, 107, 139, 236772, 14691, 236787, 623, 1882, 236789, 859, 13901, 1546, 5086, 236789, 236751, 5384, 532, 6417, 236775, 108, 1018, 211199, 53121, 138, 107, 2542, 5783, 36453, 236764, 1161, 506, 32741, 14273, 528, 11048, 5417, 236761, 669, 3303, 3755, 1451, 2036, 16809, 62721, 8991, 573, 1908, 236772, 61054, 28675, 568, 49789, 236786, 166920, 14644, 4535, 10128, 3435, 25289, 769, 21284, 611, 1133, 531, 1594, 9302, 1067, 4586, 1013, 573, 1027, 3530, 3336, 529, 822, 11048, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1161, 506, 5213, 64860, 1018, 5904, 531, 1586, 171346, 12809, 3755, 573, 623, 41626, 90352, 51653, 564, 236789, 236753, 1133, 531, 8701, 120904, 186193, 653, 143636, 600, 1451, 1601, 8082, 506, 3495, 919, 119003, 531, 1908, 236772, 61054, 2434, 3295, 236761, 1701, 2591, 236764, 3755, 4596, 531, 6995, 236764, 208825, 236764, 653, 6511, 3997, 528, 1908, 236772, 23019, 44187, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42103, 1083, 11058, 106809, 827, 623, 34065, 217361, 827, 623, 14383, 25519, 827, 623, 76975, 827, 623, 65270, 827, 623, 1321, 43898, 827, 623, 82037, 827, 623, 162606, 827, 623, 5973, 2031, 827, 623, 39467, 14255, 623, 27975, 1083, 11058, 84460, 833, 170500, 827, 623, 10730, 8813, 827, 623, 87732, 236772, 41950, 36376, 236751, 14255, 623, 102998, 695, 1083, 11058, 190909, 573, 31459, 3877, 827, 623, 168981, 573, 14971, 12871, 827, 623, 61054, 194870, 1458, 99471, 106, 107, 105, 4368, 107, 8291, 659, 38990, 186193, 532, 143636, 573, 26804, 5279, 90352, 14485, 1699, 506, 12428, 5904, 236789, 236751, 12396, 236787, 108, 1018, 11834, 18179, 72174, 53121, 138, 107, 64753, 90352, 67081, 5213, 236775, 165108, 6511, 28887, 236775, 1018, 573, 9780, 138, 107, 236769, 29388, 1472, 6995, 236764, 208825, 236764, 532, 15166, 1131, 496, 120904, 17042, 50232, 236768, 108, 1018, 11146, 31039, 76268, 695, 699, 92654, 53121, 138, 107, 236770, 236761, 5213, 50953, 50573, 8257, 9161, 1018, 138, 107, 139, 71510, 17729, 45168, 6995, 496, 3788, 236789, 236751, 13916, 236764, 5279, 90352, 14004, 506, 13718, 2731, 573, 1298, 692, 51808, 4867, 5405, 531, 1894, 3877, 1781, 236829, 138, 107, 139, 236772, 14450, 236751, 531, 623, 106809, 236775, 532, 623, 190909, 573, 31459, 3877, 236775, 25493, 108, 236778, 236761, 5213, 51274, 558, 9502, 6548, 174453, 1018, 138, 107, 139, 71510, 49077, 531, 6634, 194870, 236764, 692, 13901, 837, 5699, 568, 102434, 236768, 1202, 13258, 11213, 568, 49085, 236768, 2721, 580, 60055, 532, 3435, 4100, 1781, 236829, 138, 107, 139, 236772, 62561, 1283, 623, 61054, 194870, 1458, 236775, 46836, 532, 623, 39467, 236775, 12428, 108, 236800, 236761, 5213, 59439, 567, 22113, 36376, 1018, 138, 107, 139, 71510, 51836, 529, 625, 1133, 6995, 496, 2523, 17640, 236787, 692, 56856, 34091, 568, 26984, 779, 2426, 1023, 7715, 568, 162606, 15166, 779, 532, 10741, 837, 9871, 5518, 506, 1346, 1550, 1781, 236829, 138, 107, 139, 236772, 50311, 1090, 623, 14383, 25519, 236775, 532, 623, 82037, 236775, 1131, 3577, 4893, 236772, 15992, 108, 1018, 81167, 97993, 33879, 53121, 138, 107, 236772, 6890, 5213, 21692, 62325, 1018, 568, 9503, 32836, 236764, 38731, 236768, 1056, 24048, 6995, 138, 107, 236772, 8754, 496, 5213, 236745, 9502, 4893, 5028, 1018, 573, 208825, 18701, 138, 107, 236772, 12213, 496, 5213, 43201, 76717, 9960, 1018, 531, 15128, 66431, 12207, 138, 108, 38786, 611, 1133, 1601, 8812, 886, 529, 1239, 186193, 1131, 496, 3530, 13307, 3495, 653, 7426, 11278, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 15687, 532, 1202, 531, 1281, 506, 1873, 990, 20874, 993, 236761, 28344, 611, 2426, 600, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2289, 108932, 1083, 78493, 13873, 236779, 547, 1083, 623, 26179, 236786, 89946, 827, 623, 4002, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236862, 236771, 236778, 236787, 236771, 236771, 827, 623, 101696, 236779, 10617, 1083, 10955, 236771, 236778, 236787, 236771, 236771, 827, 623, 1496, 3223, 236779, 49708, 1083, 1847, 236764, 623, 14210, 1083, 623, 89946, 5633, 74250, 8870, 6693, 18943, 7578, 568, 226895, 16291, 165075, 106, 107, 105, 4368, 107, 818, 1873, 990, 10202, 528, 15687, 563, 5213, 26179, 236786, 89946, 125546, 532, 506, 2263, 990, 563, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 657, 236743, 236770, 236771, 236787, 236800, 236771, 8151, 1018, 568, 36043, 6693, 18943, 7578, 236764, 226100, 769, 669, 59528, 9815, 563, 5213, 236862, 236771, 236778, 236787, 236771, 236771, 125546, 532, 58745, 16011, 990, 563, 5633, 528, 1763, 236761, 236743, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 103453, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 1041, 15687, 76717, 2101, 41850, 532, 506, 7363, 1610, 8317, 236761, 28344, 611, 1161, 506, 11024, 3927, 5904, 531, 1586, 236787, 236743, 236770, 236761, 8231, 236772, 7577, 41850, 3541, 15687, 236789, 236751, 3207, 3988, 568, 5282, 173688, 11109, 653, 1429, 3765, 11109, 236768, 236743, 236778, 236761, 164577, 7363, 1610, 20969, 653, 28172, 4469, 11024, 568, 236744, 236761, 236759, 1126, 7123, 19222, 25628, 236764, 104188, 6315, 130235, 236768, 236743, 236800, 236761, 98733, 24682, 653, 70665, 531, 7002, 9226, 5085, 607, 21196, 12213, 4889, 1133, 19246, 236764, 24074, 236764, 532, 5149, 699, 506, 3207, 3988, 236761, 3792, 786, 1281, 768, 564, 1202, 531, 6253, 506, 3927, 3755, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 5141, 236759, 27007, 11109, 827, 623, 7720, 1083, 623, 158760, 54083, 236785, 236756, 236771, 236771, 149051, 236743, 236770, 236772, 236800, 236764, 236743, 236770, 236771, 236770, 236832, 236828, 15687, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 17178, 1083, 623, 236771, 236761, 236810, 7251, 699, 3207, 3988, 827, 623, 2084, 1083, 623, 110700, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236770, 236819, 236812, 236800, 236812, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236771, 236825, 236800, 236812, 236825, 5237, 3714, 1201, 1083, 623, 2368, 3765, 11109, 827, 623, 7720, 1083, 623, 236798, 707, 68518, 236764, 236743, 236770, 236771, 236770, 236832, 236828, 15687, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 17178, 1083, 623, 236771, 236761, 236828, 7251, 699, 3207, 3988, 827, 623, 2084, 1083, 623, 110700, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236770, 236819, 236770, 236832, 236819, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236771, 236832, 236810, 236812, 236832, 5237, 3714, 1201, 1083, 623, 89946, 7791, 148713, 827, 623, 7720, 1083, 623, 2368, 654, 104006, 10815, 236785, 236756, 236771, 236771, 149051, 236743, 236770, 236778, 236812, 236772, 236770, 236778, 236828, 236764, 236743, 236770, 236771, 236819, 236825, 236819, 15687, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 17178, 1083, 623, 236778, 236761, 236800, 7251, 699, 3207, 3988, 827, 623, 2084, 1083, 623, 110700, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236771, 236832, 236810, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236778, 236825, 236832, 5237, 3714, 1201, 1083, 623, 110700, 9500, 15687, 10990, 827, 623, 7720, 1083, 623, 81046, 6022, 657, 173688, 11109, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 17178, 1083, 623, 236771, 236761, 236825, 7251, 699, 3207, 3988, 827, 623, 2084, 1083, 623, 227042, 10990, 827, 623, 65141, 524, 236779, 19001, 1083, 623, 236800, 236772, 236812, 3885, 25938, 1604, 623, 10619, 236779, 59646, 1083, 11058, 3991, 7363, 1610, 20969, 528, 15687, 827, 623, 103846, 3452, 6315, 130235, 9378, 4469, 827, 623, 164297, 3541, 15687, 3207, 3988, 14255, 623, 2763, 37755, 1083, 623, 2542, 7363, 1610, 11024, 532, 24682, 236764, 1966, 68657, 506, 3927, 607, 4767, 27490, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 36257, 19222, 25628, 827, 623, 2084, 1083, 623, 40703, 4585, 9252, 827, 623, 7720, 1083, 623, 236792, 236785, 236756, 236771, 236771, 236760, 574, 3469, 10815, 236785, 236756, 236771, 236771, 149051, 236743, 236800, 236772, 236770, 236771, 236771, 236764, 236743, 236770, 236771, 236778, 236812, 236800, 15687, 236764, 9405, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 17178, 236779, 11375, 1083, 236743, 236778, 236761, 236800, 1263, 3714, 1201, 1083, 623, 103846, 3452, 6315, 10871, 1294, 827, 623, 2084, 1083, 623, 40703, 4585, 9252, 827, 623, 7720, 1083, 623, 103846, 3452, 6315, 236764, 15687, 236764, 9405, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 17178, 236779, 11375, 1083, 236743, 236778, 236761, 236828, 1263, 3714, 1201, 1083, 623, 66057, 2177, 930, 25628, 827, 623, 2084, 1083, 623, 9175, 25628, 827, 623, 7720, 1083, 623, 1479, 1111, 497, 21875, 236785, 236756, 236771, 236771, 149051, 236743, 236819, 236819, 236764, 236743, 236770, 236771, 236778, 236812, 236810, 15687, 236764, 9405, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 17178, 236779, 11375, 1083, 236743, 236800, 236761, 236770, 1263, 3714, 1201, 1083, 623, 236824, 144805, 17613, 21875, 236785, 236756, 236771, 236771, 149051, 6718, 4585, 827, 623, 2084, 1083, 623, 227042, 10990, 21617, 827, 623, 7720, 1083, 623, 236824, 144805, 17613, 21875, 236785, 236756, 236771, 236771, 149051, 236764, 15687, 236764, 9405, 827, 623, 13126, 1083, 236743, 236812, 236761, 236812, 236764, 623, 17178, 236779, 11375, 1083, 236743, 236778, 236761, 236825, 1263, 3714, 1201, 1083, 623, 236847, 15835, 6886, 670, 899, 827, 623, 2084, 1083, 623, 26986, 827, 623, 7720, 1083, 623, 103846, 3452, 6315, 236764, 15687, 236764, 9405, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 17178, 236779, 11375, 1083, 236743, 236800, 236761, 236771, 1263, 3714, 1201, 1083, 623, 160319, 236785, 236756, 236771, 236771, 236744, 236819, 104188, 6315, 827, 623, 2084, 1083, 623, 130965, 827, 623, 7720, 1083, 623, 4036, 514, 8218, 10815, 236785, 236756, 236771, 236771, 149051, 236743, 236832, 236764, 236743, 236770, 236771, 236819, 236819, 236819, 15687, 236764, 9405, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 17178, 236779, 11375, 1083, 236743, 236778, 236761, 236819, 104960, 623, 3278, 236779, 3906, 1083, 3714, 2305, 236779, 6061, 1083, 623, 36257, 19222, 25628, 104188, 6315, 7363, 1610, 28172, 26931, 15687, 827, 623, 50362, 1083, 623, 501, 236772, 3118, 827, 623, 6725, 236779, 12103, 1083, 236743, 236825, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 110488, 68518, 4556, 827, 623, 7720, 1083, 3714, 30419, 9604, 1083, 623, 894, 154751, 853, 236743, 236770, 236832, 236761, 36686, 827, 623, 13319, 1083, 623, 89946, 827, 623, 157350, 4809, 1083, 623, 236770, 236771, 236810, 236810, 236832, 23179, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236770, 236825, 236832, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236800, 236825, 236825, 236832, 1263, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 17178, 1083, 3714, 13319, 236779, 3873, 1083, 236743, 236778, 236761, 236770, 236764, 623, 6805, 1083, 623, 11375, 236775, 5237, 3714, 1201, 1083, 623, 236847, 15835, 6886, 670, 899, 827, 623, 7720, 1083, 3714, 30419, 9604, 1083, 623, 103846, 3452, 6315, 123233, 236743, 236770, 236810, 827, 623, 13319, 1083, 623, 89946, 827, 623, 157350, 4809, 1083, 623, 236770, 236771, 236819, 236825, 236810, 23179, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236812, 236819, 236832, 236810, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236771, 236778, 236828, 1263, 623, 13126, 1083, 236743, 236812, 236761, 236812, 236764, 623, 17178, 1083, 3714, 13319, 236779, 3873, 1083, 236743, 236812, 236761, 236828, 236764, 623, 6805, 1083, 623, 11375, 236775, 5237, 3714, 1201, 1083, 623, 160319, 236785, 236756, 236771, 236771, 236744, 236819, 1006, 98467, 602, 96975, 5516, 827, 623, 7720, 1083, 3714, 30419, 9604, 1083, 623, 70866, 49368, 236743, 236832, 827, 623, 13319, 1083, 623, 89946, 827, 623, 157350, 4809, 1083, 623, 236770, 236771, 236770, 236832, 236828, 23179, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236778, 236770, 236770, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236770, 236778, 236800, 1263, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 17178, 1083, 3714, 13319, 236779, 3873, 1083, 236743, 236770, 236761, 236778, 236764, 623, 6805, 1083, 623, 11375, 127096, 1604, 623, 2763, 37755, 1083, 623, 2094, 3927, 10317, 580, 24682, 532, 70665, 236761, 1701, 41850, 532, 7363, 1610, 11024, 236764, 1966, 39919, 506, 7609, 3755, 531, 3204, 756, 82407, 236751, 236789, 653, 756, 30419, 1610, 20969, 236789, 1133, 104188, 6315, 236786, 36257, 19222, 25628, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 67722, 76717, 573, 822, 15687, 7946, 2721, 580, 822, 10521, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 8231, 111459, 528, 15687, 1018, 138, 107, 236772, 5213, 5141, 236759, 27007, 11109, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 158760, 54083, 16756, 236743, 236770, 236772, 236800, 236764, 236743, 236770, 236771, 236770, 236832, 236828, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236832, 236786, 236810, 1109, 236743, 248206, 236743, 236771, 236761, 236810, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 70731, 236787, 41956, 41761, 1133, 506, 2375, 71158, 26010, 532, 173688, 1429, 17420, 236761, 138, 107, 236772, 5213, 2368, 3765, 11109, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 236798, 707, 68518, 236764, 236743, 236770, 236771, 236770, 236832, 236828, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236825, 236786, 236810, 1109, 236743, 248206, 236743, 236771, 236761, 236828, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 30235, 236787, 54713, 56611, 1236, 532, 16470, 58435, 236761, 138, 107, 236772, 5213, 110700, 9500, 15687, 10990, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 81046, 6022, 657, 173688, 11109, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236828, 236786, 236810, 1109, 149715, 236743, 236800, 236772, 236812, 6468, 28172, 4469, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 6718, 4585, 833, 148735, 60627, 1018, 138, 107, 236772, 5213, 36257, 19222, 25628, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 236792, 137400, 58143, 236743, 236800, 236772, 236770, 236771, 236771, 236764, 236743, 236770, 236771, 236778, 236812, 236800, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236832, 236786, 236810, 1109, 236743, 248206, 236743, 236778, 236761, 236800, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 20360, 236772, 4041, 236787, 7178, 236743, 236770, 236771, 236771, 130235, 580, 496, 27750, 15687, 12090, 9951, 236761, 138, 107, 236772, 5213, 103846, 3452, 6315, 10871, 1294, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 103846, 3452, 6315, 236764, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236810, 236786, 236810, 1109, 236743, 248206, 236743, 236778, 236761, 236828, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 42272, 236787, 46071, 2341, 514, 8218, 58143, 573, 28239, 236764, 3785, 236772, 32655, 1610, 236761, 138, 107, 236772, 5213, 66057, 2177, 930, 25628, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 1479, 1111, 497, 80176, 236743, 236819, 236819, 236764, 236743, 236770, 236771, 236778, 236812, 236810, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236825, 236786, 236810, 1109, 236743, 248206, 236743, 236800, 236761, 236770, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 171545, 52923, 532, 7363, 1610, 4749, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 36962, 833, 48022, 507, 573, 150498, 1018, 138, 107, 236772, 5213, 110488, 68518, 4556, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 894, 154751, 853, 236743, 236770, 236832, 236761, 36686, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236825, 236786, 236810, 1109, 236743, 248206, 236743, 236778, 236761, 236770, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 26079, 573, 496, 63563, 653, 12406, 11881, 1308, 14871, 20503, 236761, 138, 107, 236772, 5213, 160319, 236859, 1006, 98467, 602, 96975, 5516, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 70866, 49368, 236743, 236832, 236764, 236743, 236770, 236771, 236770, 236832, 236828, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236778, 236786, 236810, 1109, 236743, 248206, 236743, 236770, 236761, 236778, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 121590, 7075, 3541, 18733, 49368, 573, 7681, 532, 12580, 236761, 138, 107, 236772, 5213, 236847, 15835, 6886, 670, 899, 568, 103846, 3452, 6315, 62902, 138, 107, 138, 236772, 236743, 244343, 808, 103846, 3452, 6315, 123233, 236743, 236770, 236810, 236764, 236743, 236770, 236771, 236819, 236825, 236810, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236812, 236786, 236810, 1109, 236743, 248206, 236743, 236812, 236761, 236828, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 80007, 53001, 8208, 529, 506, 3207, 532, 496, 88259, 45693, 236761, 138, 108, 7243, 108, 10354, 5213, 60237, 573, 5180, 1030, 159502, 1018, 138, 107, 236772, 5213, 1489, 123428, 66515, 111459, 568, 5141, 236759, 27007, 236786, 2368, 3765, 236768, 659, 92016, 528, 78605, 75720, 236770, 7251, 6576, 769, 70535, 607, 496, 3727, 531, 506, 14942, 5213, 160319, 236859, 1006, 98467, 602, 96975, 5516, 84750, 138, 107, 236772, 5213, 40703, 4585, 66515, 7123, 19222, 25628, 563, 232697, 699, 18400, 574, 17613, 80176, 568, 236778, 236761, 236825, 7251, 779, 496, 15039, 573, 7363, 1610, 26931, 236761, 138, 107, 236772, 5213, 25846, 66515, 26922, 40279, 68518, 4556, 528, 506, 12399, 1308, 41850, 236764, 1299, 2228, 531, 104188, 6315, 573, 9137, 7363, 1610, 22824, 532, 12441, 657, 5213, 160319, 236859, 104188, 6315, 1018, 568, 240281, 236743, 236812, 236761, 236778, 236786, 236810, 769, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 30981, 653, 919, 4889, 236888, 103453, 106, 107, 105, 2364, 107, 236777, 236858, 236753, 1133, 531, 59638, 1041, 15687, 76717, 3342, 236761, 28344, 611, 1161, 506, 11024, 3927, 5904, 531, 1586, 236787, 236743, 236770, 236761, 5213, 181706, 236772, 18865, 70665, 653, 12616, 1018, 3541, 506, 11109, 9500, 532, 104188, 6315, 7363, 1610, 4106, 568, 236744, 236761, 236759, 1126, 6666, 1133, 808, 236855, 12448, 236751, 236829, 653, 808, 236770, 236819, 236819, 236771, 89712, 21887, 17616, 236743, 236778, 236761, 5213, 13149, 1610, 6429, 11936, 653, 28023, 1018, 528, 104188, 6315, 653, 78605, 1298, 564, 2473, 12740, 607, 11421, 653, 1769, 496, 2822, 1012, 236743, 236800, 236761, 5213, 123566, 20310, 14996, 1018, 3541, 40279, 68518, 4556, 653, 7123, 19222, 25628, 531, 11327, 506, 3207, 1133, 496, 2263, 12213, 4889, 1133, 33417, 531, 1041, 6330, 76717, 236764, 24074, 236764, 532, 1027, 89857, 568, 236744, 236761, 236759, 1126, 28976, 72850, 236764, 35740, 11710, 7694, 236764, 4044, 7476, 3792, 786, 1281, 768, 506, 3927, 3755, 1202, 145931, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 236855, 12448, 236751, 89712, 37330, 827, 623, 7720, 1083, 3714, 30419, 236770, 1083, 623, 236855, 650, 1446, 54027, 1714, 236761, 236743, 236770, 236832, 827, 623, 13319, 1083, 623, 89946, 827, 623, 157350, 4809, 1083, 623, 236770, 236771, 236778, 236812, 236800, 827, 623, 14801, 1083, 623, 34692, 23179, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236770, 236770, 236812, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236812, 236832, 236800, 1263, 623, 10618, 1083, 623, 90882, 236786, 130965, 827, 623, 236071, 1083, 623, 236812, 236810, 236771, 236757, 699, 11109, 9500, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 18146, 3123, 1083, 11058, 181706, 72850, 827, 623, 17117, 61222, 827, 623, 99969, 13153, 14255, 623, 87622, 1083, 1847, 1263, 3714, 1201, 1083, 623, 236770, 236819, 236819, 236771, 89712, 21887, 827, 623, 7720, 1083, 3714, 30419, 236770, 1083, 623, 4036, 514, 8218, 1714, 236761, 236743, 236819, 827, 623, 13319, 1083, 623, 89946, 827, 623, 157350, 4809, 1083, 623, 236770, 236771, 236819, 236819, 236819, 827, 623, 14801, 1083, 623, 34692, 23179, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236812, 236819, 236800, 236810, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236812, 236832, 236832, 1263, 623, 10618, 1083, 623, 130965, 236786, 32258, 13516, 827, 623, 236071, 1083, 623, 236828, 236771, 236771, 236757, 699, 104188, 6315, 7363, 1610, 4106, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 18146, 3123, 1083, 11058, 181706, 13932, 52912, 827, 623, 13149, 1610, 52923, 827, 623, 147716, 236772, 17870, 14255, 623, 87622, 1083, 1847, 1263, 3714, 1201, 1083, 623, 181706, 4848, 15687, 827, 623, 7720, 1083, 3714, 30419, 236770, 1083, 623, 12055, 23726, 95863, 236743, 236828, 827, 623, 13319, 1083, 623, 89946, 827, 623, 157350, 4809, 1083, 623, 236770, 236778, 236771, 236812, 236832, 827, 623, 14801, 1083, 623, 34692, 23179, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236812, 236832, 236825, 236810, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236812, 236832, 236810, 1263, 623, 10618, 1083, 623, 90882, 827, 623, 236071, 1083, 623, 236770, 236761, 236778, 11375, 699, 104188, 6315, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 18146, 3123, 1083, 11058, 27142, 536, 236772, 3061, 28976, 18917, 827, 623, 22297, 11125, 236772, 6796, 3835, 14255, 623, 87622, 1083, 1847, 104960, 623, 2305, 236779, 21052, 1083, 3714, 3278, 236779, 3456, 1083, 623, 117829, 70665, 15687, 11109, 9500, 169725, 236751, 236743, 236770, 236819, 236819, 236771, 89712, 21887, 104188, 6315, 827, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 147376, 236779, 14210, 1083, 623, 2542, 1610, 6429, 11936, 236786, 2025, 22742, 532, 12406, 53804, 236764, 1966, 7732, 34369, 607, 33093, 3755, 1133, 756, 103846, 3452, 6315, 1610, 14767, 18669, 236789, 653, 756, 110488, 68518, 12406, 20310, 14996, 35773, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 103846, 3452, 6315, 4585, 77245, 833, 18605, 827, 623, 7720, 1083, 623, 4036, 514, 8218, 10815, 236785, 236756, 236771, 236771, 149051, 236743, 236832, 236828, 236764, 236743, 236770, 236771, 236819, 236819, 236819, 15687, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236812, 236819, 236828, 236832, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236812, 236810, 236825, 1263, 623, 18146, 3123, 1083, 11058, 9175, 14767, 827, 623, 233963, 11710, 7694, 827, 623, 40703, 1610, 28023, 14255, 623, 236071, 1083, 3714, 82407, 236779, 102286, 1083, 623, 236800, 236761, 236778, 7251, 3121, 568, 236770, 236810, 1322, 12406, 22730, 623, 42147, 236779, 2897, 236779, 26781, 1083, 623, 236828, 236771, 236771, 15930, 9378, 127096, 107, 14937, 1201, 1083, 623, 236792, 4259, 23727, 39405, 827, 623, 7720, 1083, 623, 15953, 1843, 10815, 236785, 236756, 236771, 236771, 149051, 236743, 236770, 236778, 236771, 236764, 236743, 236770, 236771, 236770, 236770, 236810, 15687, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236770, 236825, 236800, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236800, 236819, 236812, 236810, 1263, 623, 18146, 3123, 1083, 11058, 56051, 236772, 4503, 6429, 4762, 827, 623, 191590, 11710, 7694, 827, 623, 10343, 15992, 5842, 20310, 14255, 623, 236071, 1083, 3714, 43289, 68518, 236779, 26567, 1083, 623, 236778, 236761, 236770, 7251, 3121, 568, 236770, 236771, 1322, 12406, 22730, 623, 82407, 236779, 102286, 1083, 623, 236812, 236761, 236810, 7251, 3121, 127096, 107, 14937, 1201, 1083, 623, 9272, 32974, 14629, 753, 18400, 574, 17613, 21875, 236785, 236756, 236771, 236771, 149051, 827, 623, 2084, 1083, 623, 32974, 236779, 141329, 827, 623, 7720, 1083, 623, 236824, 144805, 17613, 21875, 236785, 236756, 236771, 236771, 149051, 236743, 236800, 236778, 236764, 236743, 236770, 236771, 236778, 236812, 236800, 15687, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236771, 236800, 236812, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236825, 236825, 236832, 1263, 623, 236071, 1083, 3714, 177464, 6315, 236779, 30419, 236779, 661, 1083, 623, 236810, 236771, 236771, 15930, 9378, 827, 623, 42147, 236779, 2897, 236779, 26781, 1083, 623, 236770, 236761, 236778, 7251, 3121, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 9272, 32974, 40279, 68518, 18884, 827, 623, 7720, 1083, 623, 894, 154751, 853, 236743, 236770, 236832, 236761, 36686, 236743, 236770, 236771, 236825, 236778, 236800, 15687, 827, 623, 236071, 1083, 3714, 1071, 236779, 26567, 1083, 623, 236800, 236771, 236771, 15930, 827, 623, 1071, 236779, 42147, 236779, 2897, 236779, 26781, 1083, 623, 236778, 236761, 236770, 7251, 23179, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 18146, 3123, 1083, 11058, 236788, 236772, 96642, 2487, 827, 623, 236778, 236812, 236786, 236832, 2802, 827, 623, 32974, 11790, 6410, 152254, 3714, 1201, 1083, 623, 206143, 7123, 19222, 25628, 827, 623, 7720, 1083, 623, 236824, 144805, 17613, 9954, 236761, 236743, 236828, 236812, 236743, 236770, 236771, 236778, 236812, 236800, 15687, 827, 623, 236071, 1083, 3714, 1071, 236779, 26567, 1083, 623, 236778, 236761, 236828, 7251, 827, 623, 1071, 236779, 42147, 236779, 2897, 236779, 26781, 1083, 623, 236770, 236810, 236771, 15930, 23179, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 18146, 3123, 1083, 11058, 189854, 13845, 53804, 827, 623, 3883, 36498, 827, 623, 66414, 12406, 26931, 152254, 3714, 1201, 1083, 623, 140762, 4288, 12067, 32974, 104188, 6315, 827, 623, 7720, 1083, 623, 4036, 514, 8218, 1714, 236761, 236743, 236812, 236770, 236743, 236770, 236771, 236819, 236819, 236819, 15687, 827, 623, 236071, 1083, 3714, 1071, 236779, 26567, 1083, 623, 236800, 236761, 236810, 7251, 827, 623, 1071, 236779, 42147, 236779, 2897, 236779, 26781, 1083, 623, 236770, 236761, 236828, 7251, 23179, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 18146, 3123, 1083, 11058, 130384, 33881, 827, 623, 123566, 75631, 827, 623, 13149, 8325, 236772, 56754, 33881, 99471, 1604, 623, 2305, 236779, 21052, 1083, 3714, 3278, 236779, 3456, 1083, 623, 32974, 20310, 14996, 40279, 68518, 4556, 7123, 19222, 25628, 15687, 827, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 65141, 524, 236779, 1811, 495, 4104, 1083, 11058, 27455, 756, 110700, 9500, 12406, 53804, 236789, 573, 12532, 33417, 531, 41850, 827, 623, 3218, 756, 661, 28023, 236789, 531, 7609, 573, 9292, 2536, 528, 104188, 6315, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 822, 33093, 15687, 76717, 607, 28976, 16746, 236764, 1610, 14767, 236786, 2025, 22742, 236764, 532, 12406, 53804, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 89712, 236772, 83899, 48022, 507, 833, 79074, 1018, 138, 107, 236772, 5213, 236855, 12448, 236751, 89712, 37330, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 236855, 650, 1446, 54027, 1714, 236761, 236743, 236770, 236832, 236764, 236743, 236770, 236771, 236778, 236812, 236800, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236832, 236786, 236810, 1109, 236743, 248206, 236743, 236812, 236810, 236771, 236757, 699, 11109, 9500, 138, 107, 138, 236772, 214168, 236787, 89712, 72850, 236764, 10445, 61222, 236764, 10293, 13153, 236761, 138, 107, 236772, 5213, 236770, 236819, 236819, 236771, 89712, 21887, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 4036, 514, 8218, 1714, 236761, 236743, 236819, 236764, 236743, 236770, 236771, 236819, 236819, 236819, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236825, 236786, 236810, 1109, 236743, 248206, 236743, 236828, 236771, 236771, 236757, 699, 104188, 6315, 7363, 1610, 236761, 138, 107, 138, 236772, 25772, 236787, 89712, 13932, 52912, 236764, 2263, 1610, 52923, 236764, 28597, 236772, 17870, 236761, 138, 107, 236772, 5213, 181706, 4848, 15687, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 12055, 23726, 95863, 236743, 236828, 236764, 236743, 236770, 236778, 236771, 236812, 236832, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236810, 236786, 236810, 1109, 236743, 248206, 236743, 236770, 236761, 236778, 11375, 699, 104188, 6315, 236761, 138, 107, 138, 236772, 80007, 236787, 136171, 236772, 3061, 28976, 18917, 532, 40772, 236772, 6796, 3835, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 4585, 77245, 833, 122354, 1018, 138, 107, 236772, 5213, 103846, 3452, 6315, 4585, 77245, 833, 18605, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 4036, 514, 8218, 58143, 236743, 236832, 236828, 236764, 236743, 236770, 236771, 236819, 236819, 236819, 15687, 236829, 138, 107, 138, 236772, 236743, 248206, 236743, 236828, 236771, 236771, 236757, 699, 7123, 19222, 25628, 1109, 236743, 247869, 236743, 236770, 236810, 1322, 12406, 531, 11109, 9500, 236761, 138, 107, 138, 236772, 60283, 236787, 102371, 11710, 236764, 7363, 1610, 28023, 236761, 138, 107, 236772, 5213, 236792, 4259, 23727, 39405, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 15953, 1843, 58143, 236743, 236770, 236778, 236771, 236764, 236743, 236770, 236771, 236770, 236770, 236810, 15687, 236829, 138, 107, 138, 236772, 236743, 248206, 236743, 236778, 236761, 236770, 11375, 699, 40279, 68518, 4556, 1109, 236743, 247869, 236743, 236770, 236771, 1322, 12406, 236761, 138, 107, 138, 236772, 25772, 236787, 40949, 236772, 4503, 6429, 4762, 236764, 9735, 11710, 236786, 1995, 15992, 7694, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 45199, 79671, 91982, 1018, 138, 107, 236772, 5213, 9272, 32974, 40279, 68518, 18884, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 894, 154751, 853, 236743, 236770, 236832, 236761, 36686, 236764, 236743, 236770, 236771, 236825, 236778, 236800, 15687, 236829, 138, 107, 138, 236772, 236743, 248206, 236743, 236800, 236771, 236771, 236757, 699, 40279, 68518, 4556, 1109, 136723, 236743, 236812, 236761, 236810, 236786, 236810, 236761, 138, 107, 138, 236772, 168331, 236787, 645, 236772, 96642, 236764, 236743, 236778, 236812, 236786, 236832, 2802, 236764, 12406, 11790, 6410 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 15687, 532, 1202, 531, 1281, 506, 1873, 990, 20874, 993, 236761, 28344, 611, 2426, 600, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2289, 108932, 1083, 78493, 13873, 236779, 547, 1083, 623, 26179, 236786, 89946, 827, 623, 4002, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236862, 236771, 236778, 236787, 236771, 236771, 827, 623, 101696, 236779, 10617, 1083, 10955, 236771, 236778, 236787, 236771, 236771, 827, 623, 1496, 3223, 236779, 49708, 1083, 1847, 236764, 623, 14210, 1083, 623, 89946, 5633, 74250, 8870, 6693, 18943, 7578, 568, 226895, 16291, 165075, 106, 107, 105, 4368, 107, 818, 1873, 990, 10202, 528, 15687, 563, 5213, 26179, 236786, 89946, 125546, 532, 506, 2263, 990, 563, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 657, 236743, 236770, 236771, 236787, 236800, 236771, 8151, 1018, 568, 36043, 6693, 18943, 7578, 236764, 226100, 769, 669, 59528, 9815, 563, 5213, 236862, 236771, 236778, 236787, 236771, 236771, 125546, 532, 58745, 16011, 990, 563, 5633, 528, 1763, 236761, 236743, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 103453, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2731, 1041, 15687, 76717, 2101, 41850, 532, 506, 7363, 1610, 8317, 236761, 28344, 611, 1161, 506, 11024, 3927, 5904, 531, 1586, 236787, 236743, 236770, 236761, 8231, 236772, 7577, 41850, 3541, 15687, 236789, 236751, 3207, 3988, 568, 5282, 173688, 11109, 653, 1429, 3765, 11109, 236768, 236743, 236778, 236761, 164577, 7363, 1610, 20969, 653, 28172, 4469, 11024, 568, 236744, 236761, 236759, 1126, 7123, 19222, 25628, 236764, 104188, 6315, 130235, 236768, 236743, 236800, 236761, 98733, 24682, 653, 70665, 531, 7002, 9226, 5085, 607, 21196, 12213, 4889, 1133, 19246, 236764, 24074, 236764, 532, 5149, 699, 506, 3207, 3988, 236761, 3792, 786, 1281, 768, 564, 1202, 531, 6253, 506, 3927, 3755, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 5141, 236759, 27007, 11109, 827, 623, 7720, 1083, 623, 158760, 54083, 236785, 236756, 236771, 236771, 149051, 236743, 236770, 236772, 236800, 236764, 236743, 236770, 236771, 236770, 236832, 236828, 15687, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 17178, 1083, 623, 236771, 236761, 236810, 7251, 699, 3207, 3988, 827, 623, 2084, 1083, 623, 110700, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236770, 236819, 236812, 236800, 236812, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236771, 236825, 236800, 236812, 236825, 5237, 3714, 1201, 1083, 623, 2368, 3765, 11109, 827, 623, 7720, 1083, 623, 236798, 707, 68518, 236764, 236743, 236770, 236771, 236770, 236832, 236828, 15687, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 17178, 1083, 623, 236771, 236761, 236828, 7251, 699, 3207, 3988, 827, 623, 2084, 1083, 623, 110700, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236770, 236819, 236770, 236832, 236819, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236771, 236832, 236810, 236812, 236832, 5237, 3714, 1201, 1083, 623, 89946, 7791, 148713, 827, 623, 7720, 1083, 623, 2368, 654, 104006, 10815, 236785, 236756, 236771, 236771, 149051, 236743, 236770, 236778, 236812, 236772, 236770, 236778, 236828, 236764, 236743, 236770, 236771, 236819, 236825, 236819, 15687, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 17178, 1083, 623, 236778, 236761, 236800, 7251, 699, 3207, 3988, 827, 623, 2084, 1083, 623, 110700, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236771, 236832, 236810, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236778, 236825, 236832, 5237, 3714, 1201, 1083, 623, 110700, 9500, 15687, 10990, 827, 623, 7720, 1083, 623, 81046, 6022, 657, 173688, 11109, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 17178, 1083, 623, 236771, 236761, 236825, 7251, 699, 3207, 3988, 827, 623, 2084, 1083, 623, 227042, 10990, 827, 623, 65141, 524, 236779, 19001, 1083, 623, 236800, 236772, 236812, 3885, 25938, 1604, 623, 10619, 236779, 59646, 1083, 11058, 3991, 7363, 1610, 20969, 528, 15687, 827, 623, 103846, 3452, 6315, 130235, 9378, 4469, 827, 623, 164297, 3541, 15687, 3207, 3988, 14255, 623, 2763, 37755, 1083, 623, 2542, 7363, 1610, 11024, 532, 24682, 236764, 1966, 68657, 506, 3927, 607, 4767, 27490, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 36257, 19222, 25628, 827, 623, 2084, 1083, 623, 40703, 4585, 9252, 827, 623, 7720, 1083, 623, 236792, 236785, 236756, 236771, 236771, 236760, 574, 3469, 10815, 236785, 236756, 236771, 236771, 149051, 236743, 236800, 236772, 236770, 236771, 236771, 236764, 236743, 236770, 236771, 236778, 236812, 236800, 15687, 236764, 9405, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 17178, 236779, 11375, 1083, 236743, 236778, 236761, 236800, 1263, 3714, 1201, 1083, 623, 103846, 3452, 6315, 10871, 1294, 827, 623, 2084, 1083, 623, 40703, 4585, 9252, 827, 623, 7720, 1083, 623, 103846, 3452, 6315, 236764, 15687, 236764, 9405, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 17178, 236779, 11375, 1083, 236743, 236778, 236761, 236828, 1263, 3714, 1201, 1083, 623, 66057, 2177, 930, 25628, 827, 623, 2084, 1083, 623, 9175, 25628, 827, 623, 7720, 1083, 623, 1479, 1111, 497, 21875, 236785, 236756, 236771, 236771, 149051, 236743, 236819, 236819, 236764, 236743, 236770, 236771, 236778, 236812, 236810, 15687, 236764, 9405, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 17178, 236779, 11375, 1083, 236743, 236800, 236761, 236770, 1263, 3714, 1201, 1083, 623, 236824, 144805, 17613, 21875, 236785, 236756, 236771, 236771, 149051, 6718, 4585, 827, 623, 2084, 1083, 623, 227042, 10990, 21617, 827, 623, 7720, 1083, 623, 236824, 144805, 17613, 21875, 236785, 236756, 236771, 236771, 149051, 236764, 15687, 236764, 9405, 827, 623, 13126, 1083, 236743, 236812, 236761, 236812, 236764, 623, 17178, 236779, 11375, 1083, 236743, 236778, 236761, 236825, 1263, 3714, 1201, 1083, 623, 236847, 15835, 6886, 670, 899, 827, 623, 2084, 1083, 623, 26986, 827, 623, 7720, 1083, 623, 103846, 3452, 6315, 236764, 15687, 236764, 9405, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 17178, 236779, 11375, 1083, 236743, 236800, 236761, 236771, 1263, 3714, 1201, 1083, 623, 160319, 236785, 236756, 236771, 236771, 236744, 236819, 104188, 6315, 827, 623, 2084, 1083, 623, 130965, 827, 623, 7720, 1083, 623, 4036, 514, 8218, 10815, 236785, 236756, 236771, 236771, 149051, 236743, 236832, 236764, 236743, 236770, 236771, 236819, 236819, 236819, 15687, 236764, 9405, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 17178, 236779, 11375, 1083, 236743, 236778, 236761, 236819, 104960, 623, 3278, 236779, 3906, 1083, 3714, 2305, 236779, 6061, 1083, 623, 36257, 19222, 25628, 104188, 6315, 7363, 1610, 28172, 26931, 15687, 827, 623, 50362, 1083, 623, 501, 236772, 3118, 827, 623, 6725, 236779, 12103, 1083, 236743, 236825, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 110488, 68518, 4556, 827, 623, 7720, 1083, 3714, 30419, 9604, 1083, 623, 894, 154751, 853, 236743, 236770, 236832, 236761, 36686, 827, 623, 13319, 1083, 623, 89946, 827, 623, 157350, 4809, 1083, 623, 236770, 236771, 236810, 236810, 236832, 23179, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236770, 236825, 236832, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236800, 236825, 236825, 236832, 1263, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 17178, 1083, 3714, 13319, 236779, 3873, 1083, 236743, 236778, 236761, 236770, 236764, 623, 6805, 1083, 623, 11375, 236775, 5237, 3714, 1201, 1083, 623, 236847, 15835, 6886, 670, 899, 827, 623, 7720, 1083, 3714, 30419, 9604, 1083, 623, 103846, 3452, 6315, 123233, 236743, 236770, 236810, 827, 623, 13319, 1083, 623, 89946, 827, 623, 157350, 4809, 1083, 623, 236770, 236771, 236819, 236825, 236810, 23179, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236812, 236819, 236832, 236810, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236771, 236778, 236828, 1263, 623, 13126, 1083, 236743, 236812, 236761, 236812, 236764, 623, 17178, 1083, 3714, 13319, 236779, 3873, 1083, 236743, 236812, 236761, 236828, 236764, 623, 6805, 1083, 623, 11375, 236775, 5237, 3714, 1201, 1083, 623, 160319, 236785, 236756, 236771, 236771, 236744, 236819, 1006, 98467, 602, 96975, 5516, 827, 623, 7720, 1083, 3714, 30419, 9604, 1083, 623, 70866, 49368, 236743, 236832, 827, 623, 13319, 1083, 623, 89946, 827, 623, 157350, 4809, 1083, 623, 236770, 236771, 236770, 236832, 236828, 23179, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236778, 236770, 236770, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236770, 236778, 236800, 1263, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 17178, 1083, 3714, 13319, 236779, 3873, 1083, 236743, 236770, 236761, 236778, 236764, 623, 6805, 1083, 623, 11375, 127096, 1604, 623, 2763, 37755, 1083, 623, 2094, 3927, 10317, 580, 24682, 532, 70665, 236761, 1701, 41850, 532, 7363, 1610, 11024, 236764, 1966, 39919, 506, 7609, 3755, 531, 3204, 756, 82407, 236751, 236789, 653, 756, 30419, 1610, 20969, 236789, 1133, 104188, 6315, 236786, 36257, 19222, 25628, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 67722, 76717, 573, 822, 15687, 7946, 2721, 580, 822, 10521, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 8231, 111459, 528, 15687, 1018, 138, 107, 236772, 5213, 5141, 236759, 27007, 11109, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 158760, 54083, 16756, 236743, 236770, 236772, 236800, 236764, 236743, 236770, 236771, 236770, 236832, 236828, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236832, 236786, 236810, 1109, 236743, 248206, 236743, 236771, 236761, 236810, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 70731, 236787, 41956, 41761, 1133, 506, 2375, 71158, 26010, 532, 173688, 1429, 17420, 236761, 138, 107, 236772, 5213, 2368, 3765, 11109, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 236798, 707, 68518, 236764, 236743, 236770, 236771, 236770, 236832, 236828, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236825, 236786, 236810, 1109, 236743, 248206, 236743, 236771, 236761, 236828, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 30235, 236787, 54713, 56611, 1236, 532, 16470, 58435, 236761, 138, 107, 236772, 5213, 110700, 9500, 15687, 10990, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 81046, 6022, 657, 173688, 11109, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236828, 236786, 236810, 1109, 149715, 236743, 236800, 236772, 236812, 6468, 28172, 4469, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 6718, 4585, 833, 148735, 60627, 1018, 138, 107, 236772, 5213, 36257, 19222, 25628, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 236792, 137400, 58143, 236743, 236800, 236772, 236770, 236771, 236771, 236764, 236743, 236770, 236771, 236778, 236812, 236800, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236832, 236786, 236810, 1109, 236743, 248206, 236743, 236778, 236761, 236800, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 20360, 236772, 4041, 236787, 7178, 236743, 236770, 236771, 236771, 130235, 580, 496, 27750, 15687, 12090, 9951, 236761, 138, 107, 236772, 5213, 103846, 3452, 6315, 10871, 1294, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 103846, 3452, 6315, 236764, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236810, 236786, 236810, 1109, 236743, 248206, 236743, 236778, 236761, 236828, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 42272, 236787, 46071, 2341, 514, 8218, 58143, 573, 28239, 236764, 3785, 236772, 32655, 1610, 236761, 138, 107, 236772, 5213, 66057, 2177, 930, 25628, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 1479, 1111, 497, 80176, 236743, 236819, 236819, 236764, 236743, 236770, 236771, 236778, 236812, 236810, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236825, 236786, 236810, 1109, 236743, 248206, 236743, 236800, 236761, 236770, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 171545, 52923, 532, 7363, 1610, 4749, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 36962, 833, 48022, 507, 573, 150498, 1018, 138, 107, 236772, 5213, 110488, 68518, 4556, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 894, 154751, 853, 236743, 236770, 236832, 236761, 36686, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236825, 236786, 236810, 1109, 236743, 248206, 236743, 236778, 236761, 236770, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 26079, 573, 496, 63563, 653, 12406, 11881, 1308, 14871, 20503, 236761, 138, 107, 236772, 5213, 160319, 236859, 1006, 98467, 602, 96975, 5516, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 70866, 49368, 236743, 236832, 236764, 236743, 236770, 236771, 236770, 236832, 236828, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236778, 236786, 236810, 1109, 236743, 248206, 236743, 236770, 236761, 236778, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 121590, 7075, 3541, 18733, 49368, 573, 7681, 532, 12580, 236761, 138, 107, 236772, 5213, 236847, 15835, 6886, 670, 899, 568, 103846, 3452, 6315, 62902, 138, 107, 138, 236772, 236743, 244343, 808, 103846, 3452, 6315, 123233, 236743, 236770, 236810, 236764, 236743, 236770, 236771, 236819, 236825, 236810, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236812, 236786, 236810, 1109, 236743, 248206, 236743, 236812, 236761, 236828, 7251, 699, 3207, 3988, 138, 107, 138, 236772, 80007, 53001, 8208, 529, 506, 3207, 532, 496, 88259, 45693, 236761, 138, 108, 7243, 108, 10354, 5213, 60237, 573, 5180, 1030, 159502, 1018, 138, 107, 236772, 5213, 1489, 123428, 66515, 111459, 568, 5141, 236759, 27007, 236786, 2368, 3765, 236768, 659, 92016, 528, 78605, 75720, 236770, 7251, 6576, 769, 70535, 607, 496, 3727, 531, 506, 14942, 5213, 160319, 236859, 1006, 98467, 602, 96975, 5516, 84750, 138, 107, 236772, 5213, 40703, 4585, 66515, 7123, 19222, 25628, 563, 232697, 699, 18400, 574, 17613, 80176, 568, 236778, 236761, 236825, 7251, 779, 496, 15039, 573, 7363, 1610, 26931, 236761, 138, 107, 236772, 5213, 25846, 66515, 26922, 40279, 68518, 4556, 528, 506, 12399, 1308, 41850, 236764, 1299, 2228, 531, 104188, 6315, 573, 9137, 7363, 1610, 22824, 532, 12441, 657, 5213, 160319, 236859, 104188, 6315, 1018, 568, 240281, 236743, 236812, 236761, 236778, 236786, 236810, 769, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 30981, 653, 919, 4889, 236888, 103453, 106, 107, 105, 2364, 107, 236777, 236858, 236753, 1133, 531, 59638, 1041, 15687, 76717, 3342, 236761, 28344, 611, 1161, 506, 11024, 3927, 5904, 531, 1586, 236787, 236743, 236770, 236761, 5213, 181706, 236772, 18865, 70665, 653, 12616, 1018, 3541, 506, 11109, 9500, 532, 104188, 6315, 7363, 1610, 4106, 568, 236744, 236761, 236759, 1126, 6666, 1133, 808, 236855, 12448, 236751, 236829, 653, 808, 236770, 236819, 236819, 236771, 89712, 21887, 17616, 236743, 236778, 236761, 5213, 13149, 1610, 6429, 11936, 653, 28023, 1018, 528, 104188, 6315, 653, 78605, 1298, 564, 2473, 12740, 607, 11421, 653, 1769, 496, 2822, 1012, 236743, 236800, 236761, 5213, 123566, 20310, 14996, 1018, 3541, 40279, 68518, 4556, 653, 7123, 19222, 25628, 531, 11327, 506, 3207, 1133, 496, 2263, 12213, 4889, 1133, 33417, 531, 1041, 6330, 76717, 236764, 24074, 236764, 532, 1027, 89857, 568, 236744, 236761, 236759, 1126, 28976, 72850, 236764, 35740, 11710, 7694, 236764, 4044, 7476, 3792, 786, 1281, 768, 506, 3927, 3755, 1202, 145931, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 236855, 12448, 236751, 89712, 37330, 827, 623, 7720, 1083, 3714, 30419, 236770, 1083, 623, 236855, 650, 1446, 54027, 1714, 236761, 236743, 236770, 236832, 827, 623, 13319, 1083, 623, 89946, 827, 623, 157350, 4809, 1083, 623, 236770, 236771, 236778, 236812, 236800, 827, 623, 14801, 1083, 623, 34692, 23179, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236770, 236770, 236812, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236812, 236832, 236800, 1263, 623, 10618, 1083, 623, 90882, 236786, 130965, 827, 623, 236071, 1083, 623, 236812, 236810, 236771, 236757, 699, 11109, 9500, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 18146, 3123, 1083, 11058, 181706, 72850, 827, 623, 17117, 61222, 827, 623, 99969, 13153, 14255, 623, 87622, 1083, 1847, 1263, 3714, 1201, 1083, 623, 236770, 236819, 236819, 236771, 89712, 21887, 827, 623, 7720, 1083, 3714, 30419, 236770, 1083, 623, 4036, 514, 8218, 1714, 236761, 236743, 236819, 827, 623, 13319, 1083, 623, 89946, 827, 623, 157350, 4809, 1083, 623, 236770, 236771, 236819, 236819, 236819, 827, 623, 14801, 1083, 623, 34692, 23179, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236812, 236819, 236800, 236810, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236812, 236832, 236832, 1263, 623, 10618, 1083, 623, 130965, 236786, 32258, 13516, 827, 623, 236071, 1083, 623, 236828, 236771, 236771, 236757, 699, 104188, 6315, 7363, 1610, 4106, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 18146, 3123, 1083, 11058, 181706, 13932, 52912, 827, 623, 13149, 1610, 52923, 827, 623, 147716, 236772, 17870, 14255, 623, 87622, 1083, 1847, 1263, 3714, 1201, 1083, 623, 181706, 4848, 15687, 827, 623, 7720, 1083, 3714, 30419, 236770, 1083, 623, 12055, 23726, 95863, 236743, 236828, 827, 623, 13319, 1083, 623, 89946, 827, 623, 157350, 4809, 1083, 623, 236770, 236778, 236771, 236812, 236832, 827, 623, 14801, 1083, 623, 34692, 23179, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236812, 236832, 236825, 236810, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236812, 236832, 236810, 1263, 623, 10618, 1083, 623, 90882, 827, 623, 236071, 1083, 623, 236770, 236761, 236778, 11375, 699, 104188, 6315, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 18146, 3123, 1083, 11058, 27142, 536, 236772, 3061, 28976, 18917, 827, 623, 22297, 11125, 236772, 6796, 3835, 14255, 623, 87622, 1083, 1847, 104960, 623, 2305, 236779, 21052, 1083, 3714, 3278, 236779, 3456, 1083, 623, 117829, 70665, 15687, 11109, 9500, 169725, 236751, 236743, 236770, 236819, 236819, 236771, 89712, 21887, 104188, 6315, 827, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 147376, 236779, 14210, 1083, 623, 2542, 1610, 6429, 11936, 236786, 2025, 22742, 532, 12406, 53804, 236764, 1966, 7732, 34369, 607, 33093, 3755, 1133, 756, 103846, 3452, 6315, 1610, 14767, 18669, 236789, 653, 756, 110488, 68518, 12406, 20310, 14996, 35773, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 103846, 3452, 6315, 4585, 77245, 833, 18605, 827, 623, 7720, 1083, 623, 4036, 514, 8218, 10815, 236785, 236756, 236771, 236771, 149051, 236743, 236832, 236828, 236764, 236743, 236770, 236771, 236819, 236819, 236819, 15687, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236812, 236819, 236828, 236832, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236812, 236810, 236825, 1263, 623, 18146, 3123, 1083, 11058, 9175, 14767, 827, 623, 233963, 11710, 7694, 827, 623, 40703, 1610, 28023, 14255, 623, 236071, 1083, 3714, 82407, 236779, 102286, 1083, 623, 236800, 236761, 236778, 7251, 3121, 568, 236770, 236810, 1322, 12406, 22730, 623, 42147, 236779, 2897, 236779, 26781, 1083, 623, 236828, 236771, 236771, 15930, 9378, 127096, 107, 14937, 1201, 1083, 623, 236792, 4259, 23727, 39405, 827, 623, 7720, 1083, 623, 15953, 1843, 10815, 236785, 236756, 236771, 236771, 149051, 236743, 236770, 236778, 236771, 236764, 236743, 236770, 236771, 236770, 236770, 236810, 15687, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236770, 236825, 236800, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236800, 236819, 236812, 236810, 1263, 623, 18146, 3123, 1083, 11058, 56051, 236772, 4503, 6429, 4762, 827, 623, 191590, 11710, 7694, 827, 623, 10343, 15992, 5842, 20310, 14255, 623, 236071, 1083, 3714, 43289, 68518, 236779, 26567, 1083, 623, 236778, 236761, 236770, 7251, 3121, 568, 236770, 236771, 1322, 12406, 22730, 623, 82407, 236779, 102286, 1083, 623, 236812, 236761, 236810, 7251, 3121, 127096, 107, 14937, 1201, 1083, 623, 9272, 32974, 14629, 753, 18400, 574, 17613, 21875, 236785, 236756, 236771, 236771, 149051, 827, 623, 2084, 1083, 623, 32974, 236779, 141329, 827, 623, 7720, 1083, 623, 236824, 144805, 17613, 21875, 236785, 236756, 236771, 236771, 149051, 236743, 236800, 236778, 236764, 236743, 236770, 236771, 236778, 236812, 236800, 15687, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236810, 236778, 236761, 236810, 236771, 236800, 236812, 236764, 623, 14716, 1083, 236743, 236770, 236800, 236761, 236812, 236825, 236825, 236832, 1263, 623, 236071, 1083, 3714, 177464, 6315, 236779, 30419, 236779, 661, 1083, 623, 236810, 236771, 236771, 15930, 9378, 827, 623, 42147, 236779, 2897, 236779, 26781, 1083, 623, 236770, 236761, 236778, 7251, 3121, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 9272, 32974, 40279, 68518, 18884, 827, 623, 7720, 1083, 623, 894, 154751, 853, 236743, 236770, 236832, 236761, 36686, 236743, 236770, 236771, 236825, 236778, 236800, 15687, 827, 623, 236071, 1083, 3714, 1071, 236779, 26567, 1083, 623, 236800, 236771, 236771, 15930, 827, 623, 1071, 236779, 42147, 236779, 2897, 236779, 26781, 1083, 623, 236778, 236761, 236770, 7251, 23179, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 18146, 3123, 1083, 11058, 236788, 236772, 96642, 2487, 827, 623, 236778, 236812, 236786, 236832, 2802, 827, 623, 32974, 11790, 6410, 152254, 3714, 1201, 1083, 623, 206143, 7123, 19222, 25628, 827, 623, 7720, 1083, 623, 236824, 144805, 17613, 9954, 236761, 236743, 236828, 236812, 236743, 236770, 236771, 236778, 236812, 236800, 15687, 827, 623, 236071, 1083, 3714, 1071, 236779, 26567, 1083, 623, 236778, 236761, 236828, 7251, 827, 623, 1071, 236779, 42147, 236779, 2897, 236779, 26781, 1083, 623, 236770, 236810, 236771, 15930, 23179, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 18146, 3123, 1083, 11058, 189854, 13845, 53804, 827, 623, 3883, 36498, 827, 623, 66414, 12406, 26931, 152254, 3714, 1201, 1083, 623, 140762, 4288, 12067, 32974, 104188, 6315, 827, 623, 7720, 1083, 623, 4036, 514, 8218, 1714, 236761, 236743, 236812, 236770, 236743, 236770, 236771, 236819, 236819, 236819, 15687, 827, 623, 236071, 1083, 3714, 1071, 236779, 26567, 1083, 623, 236800, 236761, 236810, 7251, 827, 623, 1071, 236779, 42147, 236779, 2897, 236779, 26781, 1083, 623, 236770, 236761, 236828, 7251, 23179, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 18146, 3123, 1083, 11058, 130384, 33881, 827, 623, 123566, 75631, 827, 623, 13149, 8325, 236772, 56754, 33881, 99471, 1604, 623, 2305, 236779, 21052, 1083, 3714, 3278, 236779, 3456, 1083, 623, 32974, 20310, 14996, 40279, 68518, 4556, 7123, 19222, 25628, 15687, 827, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 65141, 524, 236779, 1811, 495, 4104, 1083, 11058, 27455, 756, 110700, 9500, 12406, 53804, 236789, 573, 12532, 33417, 531, 41850, 827, 623, 3218, 756, 661, 28023, 236789, 531, 7609, 573, 9292, 2536, 528, 104188, 6315, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 822, 33093, 15687, 76717, 607, 28976, 16746, 236764, 1610, 14767, 236786, 2025, 22742, 236764, 532, 12406, 53804, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 89712, 236772, 83899, 48022, 507, 833, 79074, 1018, 138, 107, 236772, 5213, 236855, 12448, 236751, 89712, 37330, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 236855, 650, 1446, 54027, 1714, 236761, 236743, 236770, 236832, 236764, 236743, 236770, 236771, 236778, 236812, 236800, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236832, 236786, 236810, 1109, 236743, 248206, 236743, 236812, 236810, 236771, 236757, 699, 11109, 9500, 138, 107, 138, 236772, 214168, 236787, 89712, 72850, 236764, 10445, 61222, 236764, 10293, 13153, 236761, 138, 107, 236772, 5213, 236770, 236819, 236819, 236771, 89712, 21887, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 4036, 514, 8218, 1714, 236761, 236743, 236819, 236764, 236743, 236770, 236771, 236819, 236819, 236819, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236825, 236786, 236810, 1109, 236743, 248206, 236743, 236828, 236771, 236771, 236757, 699, 104188, 6315, 7363, 1610, 236761, 138, 107, 138, 236772, 25772, 236787, 89712, 13932, 52912, 236764, 2263, 1610, 52923, 236764, 28597, 236772, 17870, 236761, 138, 107, 236772, 5213, 181706, 4848, 15687, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 12055, 23726, 95863, 236743, 236828, 236764, 236743, 236770, 236778, 236771, 236812, 236832, 15687, 236829, 138, 107, 138, 236772, 136723, 236743, 236812, 236761, 236810, 236786, 236810, 1109, 236743, 248206, 236743, 236770, 236761, 236778, 11375, 699, 104188, 6315, 236761, 138, 107, 138, 236772, 80007, 236787, 136171, 236772, 3061, 28976, 18917, 532, 40772, 236772, 6796, 3835, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 4585, 77245, 833, 122354, 1018, 138, 107, 236772, 5213, 103846, 3452, 6315, 4585, 77245, 833, 18605, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 4036, 514, 8218, 58143, 236743, 236832, 236828, 236764, 236743, 236770, 236771, 236819, 236819, 236819, 15687, 236829, 138, 107, 138, 236772, 236743, 248206, 236743, 236828, 236771, 236771, 236757, 699, 7123, 19222, 25628, 1109, 236743, 247869, 236743, 236770, 236810, 1322, 12406, 531, 11109, 9500, 236761, 138, 107, 138, 236772, 60283, 236787, 102371, 11710, 236764, 7363, 1610, 28023, 236761, 138, 107, 236772, 5213, 236792, 4259, 23727, 39405, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 15953, 1843, 58143, 236743, 236770, 236778, 236771, 236764, 236743, 236770, 236771, 236770, 236770, 236810, 15687, 236829, 138, 107, 138, 236772, 236743, 248206, 236743, 236778, 236761, 236770, 11375, 699, 40279, 68518, 4556, 1109, 236743, 247869, 236743, 236770, 236771, 1322, 12406, 236761, 138, 107, 138, 236772, 25772, 236787, 40949, 236772, 4503, 6429, 4762, 236764, 9735, 11710, 236786, 1995, 15992, 7694, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 45199, 79671, 91982, 1018, 138, 107, 236772, 5213, 9272, 32974, 40279, 68518, 18884, 1018, 138, 107, 138, 236772, 236743, 244343, 808, 894, 154751, 853, 236743, 236770, 236832, 236761, 36686, 236764, 236743, 236770, 236771, 236825, 236778, 236800, 15687, 236829, 138, 107, 138, 236772, 236743, 248206, 236743, 236800, 236771, 236771, 236757, 699, 40279, 68518, 4556, 1109, 136723, 236743, 236812, 236761, 236810, 236786, 236810, 236761, 138, 107, 138, 236772, 168331, 236787, 645, 236772, 96642, 236764, 236743, 236778, 236812, 236786, 236832, 2802, 236764, 12406, 11790, 6410 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 147970, 2624, 699, 506, 98222, 11493, 10358, 9055, 236761, 1191, 236789, 500, 3978, 496, 861, 16971, 2633, 573, 1023, 13721, 236764, 532, 506, 13634, 563, 236743, 236825, 236771, 12371, 236761, 564, 1202, 531, 9279, 506, 60186, 1171, 573, 506, 97442, 236764, 1299, 2426, 506, 1698, 4889, 573, 496, 97442, 564, 1765, 580, 9593, 607, 9447, 1204, 603, 236771, 236832, 236799, 236828, 236874, 236778, 202788, 236825, 531, 1460, 768, 625, 19009, 236761, 28344, 611, 6060, 1724, 1156, 6555, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 154792, 2172, 1083, 236743, 236770, 236828, 236828, 236761, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 3250, 1083, 623, 90829, 28824, 236743, 236825, 236771, 236772, 14490, 23117, 6274, 43969, 753, 7286, 236764, 236743, 236770, 236771, 236771, 236908, 119725, 827, 623, 9707, 1083, 236743, 236770, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 107332, 236743, 236825, 236771, 236772, 14490, 4886, 97442, 607, 236743, 236770, 236778, 236772, 14490, 7266, 236764, 1603, 529, 3538, 43013, 573, 3735, 2065, 236761, 26079, 4691, 573, 236743, 236825, 236771, 236772, 14490, 13634, 11740, 236764, 18482, 496, 128928, 236772, 36954, 9009, 532, 5464, 236772, 60765, 742, 9130, 10498, 623, 3304, 236779, 31303, 1083, 11058, 2574, 1411, 3871, 236761, 30053, 236761, 854, 236786, 3871, 236786, 236758, 236786, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236770, 236761, 4034, 827, 623, 2574, 1411, 3871, 236761, 30053, 236761, 854, 236786, 3871, 236786, 236758, 236786, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236778, 236761, 4034, 14255, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 3744, 236779, 66850, 1083, 236743, 236770, 236778, 236810, 236764, 623, 28441, 236779, 5127, 236779, 95249, 236779, 40254, 1083, 236743, 236825, 236771, 236764, 623, 10236, 1083, 623, 236770, 236771, 236771, 236908, 119725, 827, 623, 3001, 1083, 623, 7131, 827, 623, 63265, 1083, 623, 236825, 236771, 8455, 13634, 1123, 236743, 236770, 236778, 8455, 7266, 827, 623, 18700, 236779, 60781, 1083, 11058, 236825, 236771, 8455, 14255, 623, 511, 236779, 495, 236779, 14973, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 60186, 529, 822, 236743, 236825, 236771, 236772, 14490, 13634, 2633, 563, 5213, 236770, 236828, 236828, 236761, 236810, 12371, 1018, 568, 109654, 1699, 609, 565, 578, 621, 2160, 621, 3841, 621, 1005, 236782, 95249, 236783, 609, 769, 108, 2542, 506, 9593, 97442, 568, 2371, 1204, 236787, 603, 236771, 236832, 236799, 236828, 236874, 236778, 202788, 236825, 779, 1590, 659, 506, 2307, 4889, 49378, 625, 19009, 822, 2633, 236787, 107, 236772, 5213, 7163, 66515, 54866, 28824, 236743, 236825, 236771, 236772, 14490, 23117, 6274, 43969, 568, 7131, 236764, 236743, 236770, 236771, 236771, 236908, 119725, 236768, 107, 236772, 5213, 233404, 6274, 132754, 66515, 236743, 236825, 236771, 12371, 568, 67655, 4241, 573, 822, 2633, 236768, 107, 236772, 5213, 11280, 66515, 609, 236770, 236819, 236761, 236819, 236819, 23058, 107, 236772, 5213, 51164, 66515, 799, 2862, 107, 236772, 5213, 27779, 25772, 66515, 236743, 236770, 236778, 236772, 14490, 7266, 236764, 128928, 236772, 36954, 236764, 5464, 236772, 60765, 742, 108, 2094, 97442, 563, 496, 4011, 4691, 573, 822, 236743, 236825, 236771, 236772, 14490, 2633, 236761, 21284, 611, 1133, 1601, 607, 4658, 1663, 236764, 1288, 618, 16329, 15830, 653, 22020, 6527, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 147970, 2624, 699, 506, 98222, 11493, 10358, 9055, 236761, 1191, 236789, 500, 3978, 496, 861, 16971, 2633, 573, 1023, 13721, 236764, 532, 506, 13634, 563, 236743, 236825, 236771, 12371, 236761, 564, 1202, 531, 9279, 506, 60186, 1171, 573, 506, 97442, 236764, 1299, 2426, 506, 1698, 4889, 573, 496, 97442, 564, 1765, 580, 9593, 607, 9447, 1204, 603, 236771, 236832, 236799, 236828, 236874, 236778, 202788, 236825, 531, 1460, 768, 625, 19009, 236761, 28344, 611, 6060, 1724, 1156, 6555, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 154792, 2172, 1083, 236743, 236770, 236828, 236828, 236761, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 3250, 1083, 623, 90829, 28824, 236743, 236825, 236771, 236772, 14490, 23117, 6274, 43969, 753, 7286, 236764, 236743, 236770, 236771, 236771, 236908, 119725, 827, 623, 9707, 1083, 236743, 236770, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 107332, 236743, 236825, 236771, 236772, 14490, 4886, 97442, 607, 236743, 236770, 236778, 236772, 14490, 7266, 236764, 1603, 529, 3538, 43013, 573, 3735, 2065, 236761, 26079, 4691, 573, 236743, 236825, 236771, 236772, 14490, 13634, 11740, 236764, 18482, 496, 128928, 236772, 36954, 9009, 532, 5464, 236772, 60765, 742, 9130, 10498, 623, 3304, 236779, 31303, 1083, 11058, 2574, 1411, 3871, 236761, 30053, 236761, 854, 236786, 3871, 236786, 236758, 236786, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236770, 236761, 4034, 827, 623, 2574, 1411, 3871, 236761, 30053, 236761, 854, 236786, 3871, 236786, 236758, 236786, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236778, 236761, 4034, 14255, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 3744, 236779, 66850, 1083, 236743, 236770, 236778, 236810, 236764, 623, 28441, 236779, 5127, 236779, 95249, 236779, 40254, 1083, 236743, 236825, 236771, 236764, 623, 10236, 1083, 623, 236770, 236771, 236771, 236908, 119725, 827, 623, 3001, 1083, 623, 7131, 827, 623, 63265, 1083, 623, 236825, 236771, 8455, 13634, 1123, 236743, 236770, 236778, 8455, 7266, 827, 623, 18700, 236779, 60781, 1083, 11058, 236825, 236771, 8455, 14255, 623, 511, 236779, 495, 236779, 14973, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 818, 60186, 529, 822, 236743, 236825, 236771, 236772, 14490, 13634, 2633, 563, 5213, 236770, 236828, 236828, 236761, 236810, 12371, 1018, 568, 109654, 1699, 609, 565, 578, 621, 2160, 621, 3841, 621, 1005, 236782, 95249, 236783, 609, 769, 108, 2542, 506, 9593, 97442, 568, 2371, 1204, 236787, 603, 236771, 236832, 236799, 236828, 236874, 236778, 202788, 236825, 779, 1590, 659, 506, 2307, 4889, 49378, 625, 19009, 822, 2633, 236787, 107, 236772, 5213, 7163, 66515, 54866, 28824, 236743, 236825, 236771, 236772, 14490, 23117, 6274, 43969, 568, 7131, 236764, 236743, 236770, 236771, 236771, 236908, 119725, 236768, 107, 236772, 5213, 233404, 6274, 132754, 66515, 236743, 236825, 236771, 12371, 568, 67655, 4241, 573, 822, 2633, 236768, 107, 236772, 5213, 11280, 66515, 609, 236770, 236819, 236761, 236819, 236819, 23058, 107, 236772, 5213, 51164, 66515, 799, 2862, 107, 236772, 5213, 27779, 25772, 66515, 236743, 236770, 236778, 236772, 14490, 7266, 236764, 128928, 236772, 36954, 236764, 5464, 236772, 60765, 742, 108, 2094, 97442, 563, 496, 4011, 4691, 573, 822, 236743, 236825, 236771, 236772, 14490, 2633, 236761, 21284, 611, 1133, 1601, 607, 4658, 1663, 236764, 1288, 618, 16329, 15830, 653, 22020, 6527, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 2731, 496, 861, 28594, 6831, 600, 28619, 6672, 14105, 25671, 607, 14549, 63527, 3835, 236761, 28344, 611, 1601, 786, 1586, 1070, 3735, 63527, 23642, 531, 1502, 607, 236881, 564, 1461, 531, 1386, 2889, 901, 236789, 500, 139445, 573, 1041, 4841, 5103, 840, 2036, 32545, 1070, 24597, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 1201, 1083, 623, 236855, 9015, 14105, 19862, 27528, 827, 623, 77095, 1083, 11058, 236770, 8578, 47195, 18763, 827, 623, 236770, 236786, 236812, 8578, 31255, 18763, 827, 623, 236770, 236786, 236812, 8578, 13935, 96380, 23356, 13294, 827, 623, 236770, 236786, 236812, 8578, 4649, 5614, 171414, 827, 623, 236770, 72881, 25671, 13950, 827, 623, 236770, 236786, 236778, 72881, 9551, 827, 623, 236770, 8578, 7274, 9728, 827, 623, 236770, 236786, 236812, 8578, 47925, 31255, 4446, 827, 623, 236778, 2455, 14318, 14255, 623, 96654, 1083, 623, 3695, 31071, 19768, 531, 236743, 236800, 236810, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236770, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 769, 29785, 784, 13153, 528, 496, 13392, 3097, 7080, 236761, 16474, 7241, 1131, 496, 2017, 1361, 6171, 236772, 2128, 94534, 236761, 85888, 573, 236743, 236778, 236810, 236772, 236800, 236771, 4310, 3097, 13935, 8864, 236761, 3792, 5427, 8427, 1680, 12284, 10498, 623, 91963, 236779, 2289, 236779, 38466, 1083, 236743, 236770, 236771, 236764, 623, 14905, 236779, 2289, 236779, 38466, 1083, 236743, 236800, 236771, 236764, 623, 174386, 236779, 721, 236779, 102487, 1083, 3714, 2108, 236779, 4554, 1886, 1083, 236743, 236812, 236764, 623, 56874, 1083, 236743, 236828, 236764, 623, 34246, 1083, 236743, 236778, 236778, 5237, 3714, 1201, 1083, 623, 236780, 1196, 602, 26098, 42949, 190503, 568, 17995, 38355, 497, 22730, 623, 77095, 1083, 11058, 236778, 7326, 9342, 12480, 81201, 236764, 166383, 827, 623, 236770, 8578, 29042, 637, 13080, 568, 8162, 10593, 22730, 623, 236770, 107072, 192210, 90927, 827, 623, 236770, 236786, 236778, 72881, 29508, 13950, 827, 623, 236770, 236786, 236778, 72881, 129882, 827, 623, 236778, 2455, 14318, 827, 623, 236778, 107072, 7274, 9728, 827, 623, 7670, 30859, 4446, 15414, 14255, 623, 96654, 1083, 623, 902, 496, 13392, 236764, 6921, 42218, 29042, 637, 13080, 607, 192210, 90927, 236764, 29508, 13950, 236764, 532, 129882, 236761, 799, 2264, 13392, 236764, 64375, 14318, 607, 7274, 9728, 236761, 48387, 12480, 42595, 528, 8727, 11711, 236764, 1299, 15674, 607, 56677, 29042, 637, 13080, 236761, 15444, 528, 2634, 107528, 11406, 532, 15414, 37927, 607, 51854, 4446, 236761, 9940, 657, 236743, 236800, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236770, 236819, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 236768, 573, 236743, 236828, 236772, 236770, 236771, 4310, 3097, 66799, 10498, 623, 91963, 236779, 2289, 236779, 38466, 1083, 236743, 236770, 236810, 236764, 623, 14905, 236779, 2289, 236779, 38466, 1083, 236743, 236770, 236771, 236764, 623, 174386, 236779, 721, 236779, 102487, 1083, 3714, 2108, 236779, 4554, 1886, 1083, 236743, 236778, 236764, 623, 56874, 1083, 236743, 236778, 236810, 236764, 623, 34246, 1083, 236743, 236770, 236828, 5237, 3714, 1201, 1083, 623, 17095, 714, 7086, 10727, 38153, 74144, 827, 623, 77095, 1083, 11058, 236770, 17330, 3995, 714, 48702, 236764, 38069, 8476, 827, 623, 236770, 236786, 236778, 25064, 3866, 29042, 827, 623, 236770, 236786, 236812, 25064, 12896, 52332, 568, 147332, 10833, 22730, 623, 236770, 236786, 236778, 8578, 73059, 2032, 16510, 568, 976, 9792, 22730, 623, 236770, 236786, 236812, 8578, 96951, 97097, 827, 623, 236770, 107072, 26012, 4446, 827, 623, 236770, 161624, 29508, 568, 1387, 1465, 236768, 14255, 623, 96654, 1083, 623, 3508, 4316, 3995, 714, 6895, 528, 31476, 1813, 573, 236743, 236778, 4310, 236761, 799, 496, 94534, 236764, 3944, 29042, 532, 52332, 607, 29508, 3097, 197343, 236761, 29785, 528, 73059, 2032, 16510, 236761, 35398, 3995, 714, 6895, 6648, 236764, 1138, 18728, 236764, 6309, 39964, 236764, 532, 1903, 607, 97097, 236761, 85888, 657, 236743, 236800, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236770, 236819, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 236768, 573, 236743, 236770, 236810, 4310, 3097, 13840, 78008, 10498, 623, 91963, 236779, 2289, 236779, 38466, 1083, 236743, 236778, 236771, 236764, 623, 14905, 236779, 2289, 236779, 38466, 1083, 236743, 236778, 236810, 236764, 623, 174386, 236779, 721, 236779, 102487, 1083, 3714, 2108, 236779, 4554, 1886, 1083, 236743, 236810, 236764, 623, 56874, 1083, 236743, 236770, 236828, 236764, 623, 34246, 1083, 236743, 236778, 236771, 1807, 1604, 623, 6725, 236779, 113519, 1083, 236743, 236800, 236764, 623, 7212, 236779, 103411, 1083, 3714, 69518, 1083, 623, 42960, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1806, 3735, 63527, 23642, 600, 22064, 14105, 14385, 607, 4532, 2708, 236772, 82953, 13862, 236764, 4011, 573, 822, 28594, 6831, 236787, 108, 10354, 236743, 236770, 236761, 5213, 236855, 9015, 14105, 19862, 27528, 1018, 138, 107, 1018, 63190, 95450, 53121, 116255, 18763, 54238, 15689, 30056, 573, 496, 11261, 236772, 6796, 3567, 529, 672, 14105, 55488, 236761, 138, 107, 1018, 139880, 53121, 236743, 236812, 236759, 2657, 77327, 1109, 236743, 236828, 236759, 6762, 1109, 236743, 236778, 236778, 236759, 6477, 810, 12284, 138, 107, 1018, 1489, 42272, 53121, 68988, 607, 9792, 236772, 6796, 58732, 56945, 653, 16195, 63527, 52138, 573, 496, 83496, 32250, 236761, 138, 108, 10354, 236743, 236778, 236761, 5213, 236780, 1196, 602, 26098, 42949, 190503, 568, 17995, 38355, 497, 62902, 138, 107, 1018, 140687, 53121, 111041, 637, 13080, 618, 12175, 522, 2619, 66799, 236764, 38792, 236772, 6796, 54850, 5508, 528, 236743, 236778, 236810, 4310, 236761, 138, 107, 1018, 139880, 53121, 236743, 236778, 236759, 2657, 77327, 1109, 236743, 236778, 236810, 236759, 6762, 1109, 236743, 236770, 236828, 236759, 6477, 810, 12284, 138, 107, 1018, 75455, 64679, 53121, 46816, 618, 496, 623, 30466, 14105, 130398, 236775, 607, 496, 2678, 529, 51854, 26677, 99369, 236761, 138, 108, 10354, 236743, 236800, 236761, 5213, 17095, 714, 7086, 10727, 38153, 74144, 1018, 138, 107, 1018, 120453, 53121, 12500, 714, 48702, 1975, 528, 573, 25021, 236764, 45568, 607, 110169, 29042, 532, 52332, 236761, 138, 107, 1018, 139880, 53121, 236743, 236810, 236759, 2657, 77327, 1109, 236743, 236770, 236828, 236759, 6762, 1109, 236743, 236778, 236771, 236759, 6477, 810, 12284, 138, 107, 1018, 81167, 53121, 85888, 528, 496, 6171, 236772, 2128, 94534, 573, 496, 34452, 14105, 23947, 236761, 138, 108, 1018, 5403, 34428, 53121, 138, 107, 236772, 16401, 1239, 618, 165996, 26834, 14801, 81304, 101570, 147698, 531, 8357, 10969, 14546, 236761, 138, 107, 236772, 58108, 506, 1360, 7814, 1399, 607, 496, 28594, 63527, 32052, 1709, 653, 40778, 833, 202400, 568, 3284, 575, 86742, 202400, 769, 138, 107, 236772, 4140, 496, 165996, 85809, 236858, 236751, 7918, 147698, 580, 506, 6831, 26804, 506, 6672, 8403, 1456, 528, 2708, 236772, 82953, 85382, 236761, 138, 108, 3243, 23642, 1161, 17075, 236764, 15283, 13153, 532, 1660, 11893, 4866, 990, 237028, 63914, 573, 24968, 528, 496, 9180, 8351, 236761, 21284, 611, 1133, 19205, 573, 63527, 31096, 3835, 531, 4886, 855, 506, 6831, 236881, 106, 107, 105, 2364, 107, 1018, 236855, 9015, 14105, 170360, 76423, 573, 5180, 17424, 53121, 36675, 236743, 236770, 236761, 5213, 59591, 97379, 70207, 508, 30830, 190503, 1018, 5213, 79655, 804, 137276, 32237, 53121, 25378, 24630, 36567, 1603, 607, 47195, 18763, 532, 153077, 236764, 9772, 607, 140778, 9380, 25852, 97769, 181249, 607, 80964, 9479, 236761, 5213, 139880, 53121, 236743, 236825, 236759, 2657, 77327, 1109, 236743, 236810, 236759, 6762, 1109, 236743, 236770, 236828, 236759, 6477, 810, 28721, 5213, 81167, 53121, 667, 64127, 607, 231452, 41559, 18060, 568, 147332, 236772, 18865, 236768, 532, 7298, 580, 496, 101922, 7116, 3905, 573, 496, 34452, 6374, 236761, 36675, 236743, 236778, 236761, 5213, 236780, 1196, 602, 2177, 7701, 49430, 165327, 587, 35770, 1018, 5213, 120453, 53121, 18705, 14403, 568, 236828, 236810, 236908, 53555, 236768, 55044, 607, 51854, 532, 496, 18343, 529, 214274, 22300, 573, 496, 623, 57307, 1781, 5213, 139880, 53121, 236743, 236812, 236759, 2657, 77327, 1109, 236743, 236812, 236759, 6762, 1109, 236743, 236770, 236810, 236759, 6477, 810, 12284, 5213, 75455, 64679, 53121, 60329, 1131, 62205, 59913, 532, 1903, 607, 70253, 9728, 73444, 607, 2263, 131423, 13216, 21949, 568, 89325, 236772, 6796, 769, 36675, 236743, 236800, 236761, 5213, 236855, 9015, 99466, 38379, 39029, 607, 9981, 124704, 37146, 68303, 1018, 5213, 32899, 95450, 53121, 37146, 68303, 1603, 607, 31255, 18763, 532, 176440, 236764, 7779, 1024, 56312, 524, 113107, 568, 56986, 4027, 607, 86083, 1302, 551, 769, 5213, 139880, 53121, 236743, 236828, 236759, 2657, 77327, 1109, 236743, 236825, 236759, 6762, 1109, 236743, 236778, 236771, 236759, 6477, 810, 12284, 5213, 81167, 53121, 85888, 528, 3141, 6171, 236772, 2128, 100539, 8524, 532, 6727, 607, 496, 111984, 236772, 6493, 5553, 9792, 236772, 6796, 8205, 9728, 236761, 5213, 5403, 34428, 53121, 753, 18354, 1239, 618, 165996, 4722, 3901, 553, 819, 147698, 61222, 531, 104184, 14105, 72441, 236761, 753, 118189, 28594, 13153, 568, 236744, 236761, 236759, 1126, 2263, 113107, 236764, 153077, 236768, 528, 70295, 532, 2777, 4009, 236761, 753, 46816, 496, 165996, 236774, 28728, 30970, 147698, 568, 236770, 529, 1546, 236768, 573, 5103, 531, 5498, 784, 1806, 236761, 5213, 9272, 14938, 53121, 21284, 611, 1133, 1601, 25470, 496, 44426, 3393, 573, 496, 5177, 31096, 6831, 653, 31236, 21212, 2721, 580, 31831, 5384, 236881, 106, 107, 105, 4368, 107, 38786, 611, 1133, 786, 531, 2619, 496, 44426, 3393, 573, 822, 5177, 31096, 6831, 653, 1601, 9279, 21212, 2721, 580, 31831, 5384, 236881, 3792, 786, 1281, 837, 1093, 577, 919, 11045, 236888, 106, 107, 105, 2364, 107, 43204, 496, 44426, 3393, 573, 506, 5177, 31096, 6831, 236761, 564, 236858, 236753, 2765, 531, 735, 5103, 13952, 625, 657, 910, 11740, 653, 1769, 625, 2033, 618, 496, 229091, 236761, 1701, 506, 1702, 236764, 1451, 692, 27968, 496, 29110, 14105, 44366, 237028, 60766, 496, 16383, 32119, 529, 496, 164993, 54808, 653, 496, 11285, 25671, 13657, 528, 506, 3393, 236881, 564, 236858, 859, 6060, 506, 21212, 15621, 24473, 573, 1492, 1699, 1041, 31831, 27313, 77365, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 236779, 1516, 1083, 623, 2574, 1411, 41007, 6275, 236761, 8358, 236761, 854, 236786, 38548, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 5067, 827, 623, 4818, 1083, 623, 10934, 827, 623, 14210, 1083, 623, 17399, 61988, 711, 8008, 684, 1873, 5904, 236761, 44426, 3393, 7835, 607, 3678, 45804, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 44426, 3393, 573, 506, 5177, 31096, 6831, 236787, 138, 107, 236840, 38943, 8739, 9466, 5457, 2574, 1411, 41007, 6275, 236761, 8358, 236761, 854, 236786, 38548, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 5067, 236768, 138, 108, 1018, 10282, 53121, 669, 1873, 5904, 4038, 236789, 236745, 1894, 2401, 1702, 4820, 1133, 164993, 68852, 653, 11285, 59491, 528, 506, 44426, 3393, 236761, 3153, 236764, 611, 1451, 236787, 138, 107, 236770, 236761, 6890, 15017, 1702, 5368, 531, 39137, 496, 29110, 14105, 44366, 8990, 506, 44426, 3393, 2471, 236761, 138, 107, 236778, 236761, 13105, 506, 44426, 3393, 580, 73194, 3627, 653, 3733, 14973, 607, 496, 164993, 5334, 573, 496, 623, 185729, 873, 236775, 1763, 236761, 138, 107, 236800, 236761, 58108, 625, 607, 496, 1944, 14105, 236772, 68122, 4822, 568, 236744, 236761, 236759, 1126, 496, 67114, 164993, 236768, 580, 506, 5663, 6831, 236761, 138, 108, 38786, 611, 1133, 786, 531, 3600, 2196, 1702, 6436, 653, 23693, 573, 8009, 1239, 4820, 24473, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 2731, 496, 861, 28594, 6831, 600, 28619, 6672, 14105, 25671, 607, 14549, 63527, 3835, 236761, 28344, 611, 1601, 786, 1586, 1070, 3735, 63527, 23642, 531, 1502, 607, 236881, 564, 1461, 531, 1386, 2889, 901, 236789, 500, 139445, 573, 1041, 4841, 5103, 840, 2036, 32545, 1070, 24597, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 1201, 1083, 623, 236855, 9015, 14105, 19862, 27528, 827, 623, 77095, 1083, 11058, 236770, 8578, 47195, 18763, 827, 623, 236770, 236786, 236812, 8578, 31255, 18763, 827, 623, 236770, 236786, 236812, 8578, 13935, 96380, 23356, 13294, 827, 623, 236770, 236786, 236812, 8578, 4649, 5614, 171414, 827, 623, 236770, 72881, 25671, 13950, 827, 623, 236770, 236786, 236778, 72881, 9551, 827, 623, 236770, 8578, 7274, 9728, 827, 623, 236770, 236786, 236812, 8578, 47925, 31255, 4446, 827, 623, 236778, 2455, 14318, 14255, 623, 96654, 1083, 623, 3695, 31071, 19768, 531, 236743, 236800, 236810, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236770, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 769, 29785, 784, 13153, 528, 496, 13392, 3097, 7080, 236761, 16474, 7241, 1131, 496, 2017, 1361, 6171, 236772, 2128, 94534, 236761, 85888, 573, 236743, 236778, 236810, 236772, 236800, 236771, 4310, 3097, 13935, 8864, 236761, 3792, 5427, 8427, 1680, 12284, 10498, 623, 91963, 236779, 2289, 236779, 38466, 1083, 236743, 236770, 236771, 236764, 623, 14905, 236779, 2289, 236779, 38466, 1083, 236743, 236800, 236771, 236764, 623, 174386, 236779, 721, 236779, 102487, 1083, 3714, 2108, 236779, 4554, 1886, 1083, 236743, 236812, 236764, 623, 56874, 1083, 236743, 236828, 236764, 623, 34246, 1083, 236743, 236778, 236778, 5237, 3714, 1201, 1083, 623, 236780, 1196, 602, 26098, 42949, 190503, 568, 17995, 38355, 497, 22730, 623, 77095, 1083, 11058, 236778, 7326, 9342, 12480, 81201, 236764, 166383, 827, 623, 236770, 8578, 29042, 637, 13080, 568, 8162, 10593, 22730, 623, 236770, 107072, 192210, 90927, 827, 623, 236770, 236786, 236778, 72881, 29508, 13950, 827, 623, 236770, 236786, 236778, 72881, 129882, 827, 623, 236778, 2455, 14318, 827, 623, 236778, 107072, 7274, 9728, 827, 623, 7670, 30859, 4446, 15414, 14255, 623, 96654, 1083, 623, 902, 496, 13392, 236764, 6921, 42218, 29042, 637, 13080, 607, 192210, 90927, 236764, 29508, 13950, 236764, 532, 129882, 236761, 799, 2264, 13392, 236764, 64375, 14318, 607, 7274, 9728, 236761, 48387, 12480, 42595, 528, 8727, 11711, 236764, 1299, 15674, 607, 56677, 29042, 637, 13080, 236761, 15444, 528, 2634, 107528, 11406, 532, 15414, 37927, 607, 51854, 4446, 236761, 9940, 657, 236743, 236800, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236770, 236819, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 236768, 573, 236743, 236828, 236772, 236770, 236771, 4310, 3097, 66799, 10498, 623, 91963, 236779, 2289, 236779, 38466, 1083, 236743, 236770, 236810, 236764, 623, 14905, 236779, 2289, 236779, 38466, 1083, 236743, 236770, 236771, 236764, 623, 174386, 236779, 721, 236779, 102487, 1083, 3714, 2108, 236779, 4554, 1886, 1083, 236743, 236778, 236764, 623, 56874, 1083, 236743, 236778, 236810, 236764, 623, 34246, 1083, 236743, 236770, 236828, 5237, 3714, 1201, 1083, 623, 17095, 714, 7086, 10727, 38153, 74144, 827, 623, 77095, 1083, 11058, 236770, 17330, 3995, 714, 48702, 236764, 38069, 8476, 827, 623, 236770, 236786, 236778, 25064, 3866, 29042, 827, 623, 236770, 236786, 236812, 25064, 12896, 52332, 568, 147332, 10833, 22730, 623, 236770, 236786, 236778, 8578, 73059, 2032, 16510, 568, 976, 9792, 22730, 623, 236770, 236786, 236812, 8578, 96951, 97097, 827, 623, 236770, 107072, 26012, 4446, 827, 623, 236770, 161624, 29508, 568, 1387, 1465, 236768, 14255, 623, 96654, 1083, 623, 3508, 4316, 3995, 714, 6895, 528, 31476, 1813, 573, 236743, 236778, 4310, 236761, 799, 496, 94534, 236764, 3944, 29042, 532, 52332, 607, 29508, 3097, 197343, 236761, 29785, 528, 73059, 2032, 16510, 236761, 35398, 3995, 714, 6895, 6648, 236764, 1138, 18728, 236764, 6309, 39964, 236764, 532, 1903, 607, 97097, 236761, 85888, 657, 236743, 236800, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236770, 236819, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 236768, 573, 236743, 236770, 236810, 4310, 3097, 13840, 78008, 10498, 623, 91963, 236779, 2289, 236779, 38466, 1083, 236743, 236778, 236771, 236764, 623, 14905, 236779, 2289, 236779, 38466, 1083, 236743, 236778, 236810, 236764, 623, 174386, 236779, 721, 236779, 102487, 1083, 3714, 2108, 236779, 4554, 1886, 1083, 236743, 236810, 236764, 623, 56874, 1083, 236743, 236770, 236828, 236764, 623, 34246, 1083, 236743, 236778, 236771, 1807, 1604, 623, 6725, 236779, 113519, 1083, 236743, 236800, 236764, 623, 7212, 236779, 103411, 1083, 3714, 69518, 1083, 623, 42960, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1806, 3735, 63527, 23642, 600, 22064, 14105, 14385, 607, 4532, 2708, 236772, 82953, 13862, 236764, 4011, 573, 822, 28594, 6831, 236787, 108, 10354, 236743, 236770, 236761, 5213, 236855, 9015, 14105, 19862, 27528, 1018, 138, 107, 1018, 63190, 95450, 53121, 116255, 18763, 54238, 15689, 30056, 573, 496, 11261, 236772, 6796, 3567, 529, 672, 14105, 55488, 236761, 138, 107, 1018, 139880, 53121, 236743, 236812, 236759, 2657, 77327, 1109, 236743, 236828, 236759, 6762, 1109, 236743, 236778, 236778, 236759, 6477, 810, 12284, 138, 107, 1018, 1489, 42272, 53121, 68988, 607, 9792, 236772, 6796, 58732, 56945, 653, 16195, 63527, 52138, 573, 496, 83496, 32250, 236761, 138, 108, 10354, 236743, 236778, 236761, 5213, 236780, 1196, 602, 26098, 42949, 190503, 568, 17995, 38355, 497, 62902, 138, 107, 1018, 140687, 53121, 111041, 637, 13080, 618, 12175, 522, 2619, 66799, 236764, 38792, 236772, 6796, 54850, 5508, 528, 236743, 236778, 236810, 4310, 236761, 138, 107, 1018, 139880, 53121, 236743, 236778, 236759, 2657, 77327, 1109, 236743, 236778, 236810, 236759, 6762, 1109, 236743, 236770, 236828, 236759, 6477, 810, 12284, 138, 107, 1018, 75455, 64679, 53121, 46816, 618, 496, 623, 30466, 14105, 130398, 236775, 607, 496, 2678, 529, 51854, 26677, 99369, 236761, 138, 108, 10354, 236743, 236800, 236761, 5213, 17095, 714, 7086, 10727, 38153, 74144, 1018, 138, 107, 1018, 120453, 53121, 12500, 714, 48702, 1975, 528, 573, 25021, 236764, 45568, 607, 110169, 29042, 532, 52332, 236761, 138, 107, 1018, 139880, 53121, 236743, 236810, 236759, 2657, 77327, 1109, 236743, 236770, 236828, 236759, 6762, 1109, 236743, 236778, 236771, 236759, 6477, 810, 12284, 138, 107, 1018, 81167, 53121, 85888, 528, 496, 6171, 236772, 2128, 94534, 573, 496, 34452, 14105, 23947, 236761, 138, 108, 1018, 5403, 34428, 53121, 138, 107, 236772, 16401, 1239, 618, 165996, 26834, 14801, 81304, 101570, 147698, 531, 8357, 10969, 14546, 236761, 138, 107, 236772, 58108, 506, 1360, 7814, 1399, 607, 496, 28594, 63527, 32052, 1709, 653, 40778, 833, 202400, 568, 3284, 575, 86742, 202400, 769, 138, 107, 236772, 4140, 496, 165996, 85809, 236858, 236751, 7918, 147698, 580, 506, 6831, 26804, 506, 6672, 8403, 1456, 528, 2708, 236772, 82953, 85382, 236761, 138, 108, 3243, 23642, 1161, 17075, 236764, 15283, 13153, 532, 1660, 11893, 4866, 990, 237028, 63914, 573, 24968, 528, 496, 9180, 8351, 236761, 21284, 611, 1133, 19205, 573, 63527, 31096, 3835, 531, 4886, 855, 506, 6831, 236881, 106, 107, 105, 2364, 107, 1018, 236855, 9015, 14105, 170360, 76423, 573, 5180, 17424, 53121, 36675, 236743, 236770, 236761, 5213, 59591, 97379, 70207, 508, 30830, 190503, 1018, 5213, 79655, 804, 137276, 32237, 53121, 25378, 24630, 36567, 1603, 607, 47195, 18763, 532, 153077, 236764, 9772, 607, 140778, 9380, 25852, 97769, 181249, 607, 80964, 9479, 236761, 5213, 139880, 53121, 236743, 236825, 236759, 2657, 77327, 1109, 236743, 236810, 236759, 6762, 1109, 236743, 236770, 236828, 236759, 6477, 810, 28721, 5213, 81167, 53121, 667, 64127, 607, 231452, 41559, 18060, 568, 147332, 236772, 18865, 236768, 532, 7298, 580, 496, 101922, 7116, 3905, 573, 496, 34452, 6374, 236761, 36675, 236743, 236778, 236761, 5213, 236780, 1196, 602, 2177, 7701, 49430, 165327, 587, 35770, 1018, 5213, 120453, 53121, 18705, 14403, 568, 236828, 236810, 236908, 53555, 236768, 55044, 607, 51854, 532, 496, 18343, 529, 214274, 22300, 573, 496, 623, 57307, 1781, 5213, 139880, 53121, 236743, 236812, 236759, 2657, 77327, 1109, 236743, 236812, 236759, 6762, 1109, 236743, 236770, 236810, 236759, 6477, 810, 12284, 5213, 75455, 64679, 53121, 60329, 1131, 62205, 59913, 532, 1903, 607, 70253, 9728, 73444, 607, 2263, 131423, 13216, 21949, 568, 89325, 236772, 6796, 769, 36675, 236743, 236800, 236761, 5213, 236855, 9015, 99466, 38379, 39029, 607, 9981, 124704, 37146, 68303, 1018, 5213, 32899, 95450, 53121, 37146, 68303, 1603, 607, 31255, 18763, 532, 176440, 236764, 7779, 1024, 56312, 524, 113107, 568, 56986, 4027, 607, 86083, 1302, 551, 769, 5213, 139880, 53121, 236743, 236828, 236759, 2657, 77327, 1109, 236743, 236825, 236759, 6762, 1109, 236743, 236778, 236771, 236759, 6477, 810, 12284, 5213, 81167, 53121, 85888, 528, 3141, 6171, 236772, 2128, 100539, 8524, 532, 6727, 607, 496, 111984, 236772, 6493, 5553, 9792, 236772, 6796, 8205, 9728, 236761, 5213, 5403, 34428, 53121, 753, 18354, 1239, 618, 165996, 4722, 3901, 553, 819, 147698, 61222, 531, 104184, 14105, 72441, 236761, 753, 118189, 28594, 13153, 568, 236744, 236761, 236759, 1126, 2263, 113107, 236764, 153077, 236768, 528, 70295, 532, 2777, 4009, 236761, 753, 46816, 496, 165996, 236774, 28728, 30970, 147698, 568, 236770, 529, 1546, 236768, 573, 5103, 531, 5498, 784, 1806, 236761, 5213, 9272, 14938, 53121, 21284, 611, 1133, 1601, 25470, 496, 44426, 3393, 573, 496, 5177, 31096, 6831, 653, 31236, 21212, 2721, 580, 31831, 5384, 236881, 106, 107, 105, 4368, 107, 38786, 611, 1133, 786, 531, 2619, 496, 44426, 3393, 573, 822, 5177, 31096, 6831, 653, 1601, 9279, 21212, 2721, 580, 31831, 5384, 236881, 3792, 786, 1281, 837, 1093, 577, 919, 11045, 236888, 106, 107, 105, 2364, 107, 43204, 496, 44426, 3393, 573, 506, 5177, 31096, 6831, 236761, 564, 236858, 236753, 2765, 531, 735, 5103, 13952, 625, 657, 910, 11740, 653, 1769, 625, 2033, 618, 496, 229091, 236761, 1701, 506, 1702, 236764, 1451, 692, 27968, 496, 29110, 14105, 44366, 237028, 60766, 496, 16383, 32119, 529, 496, 164993, 54808, 653, 496, 11285, 25671, 13657, 528, 506, 3393, 236881, 564, 236858, 859, 6060, 506, 21212, 15621, 24473, 573, 1492, 1699, 1041, 31831, 27313, 77365, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 236779, 1516, 1083, 623, 2574, 1411, 41007, 6275, 236761, 8358, 236761, 854, 236786, 38548, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 5067, 827, 623, 4818, 1083, 623, 10934, 827, 623, 14210, 1083, 623, 17399, 61988, 711, 8008, 684, 1873, 5904, 236761, 44426, 3393, 7835, 607, 3678, 45804, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 44426, 3393, 573, 506, 5177, 31096, 6831, 236787, 138, 107, 236840, 38943, 8739, 9466, 5457, 2574, 1411, 41007, 6275, 236761, 8358, 236761, 854, 236786, 38548, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 5067, 236768, 138, 108, 1018, 10282, 53121, 669, 1873, 5904, 4038, 236789, 236745, 1894, 2401, 1702, 4820, 1133, 164993, 68852, 653, 11285, 59491, 528, 506, 44426, 3393, 236761, 3153, 236764, 611, 1451, 236787, 138, 107, 236770, 236761, 6890, 15017, 1702, 5368, 531, 39137, 496, 29110, 14105, 44366, 8990, 506, 44426, 3393, 2471, 236761, 138, 107, 236778, 236761, 13105, 506, 44426, 3393, 580, 73194, 3627, 653, 3733, 14973, 607, 496, 164993, 5334, 573, 496, 623, 185729, 873, 236775, 1763, 236761, 138, 107, 236800, 236761, 58108, 625, 607, 496, 1944, 14105, 236772, 68122, 4822, 568, 236744, 236761, 236759, 1126, 496, 67114, 164993, 236768, 580, 506, 5663, 6831, 236761, 138, 108, 38786, 611, 1133, 786, 531, 3600, 2196, 1702, 6436, 653, 23693, 573, 8009, 1239, 4820, 24473, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 6845, 506, 4981, 529, 15237, 3253, 15049, 997, 236778, 236771, 236778, 236800, 236772, 236812, 236810, 236770, 1699, 506, 1998, 590, 236779, 4818, 236779, 543, 590, 236779, 37947, 236779, 828, 5904, 236761, 1637, 506, 3072, 11387, 623, 236766, 36977, 236779, 88180, 236779, 15979, 1083, 3397, 236764, 8430, 506, 16878, 236779, 547, 699, 506, 10434, 3072, 532, 1161, 974, 236779, 236766, 36977, 236779, 14007, 607, 600, 5853, 531, 33205, 506, 2471, 573, 13718, 3671, 236761, 1637, 623, 236766, 36977, 236779, 88180, 236779, 15979, 236775, 563, 2416, 236764, 994, 783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37947, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236812, 236810, 236770, 827, 623, 4818, 1083, 623, 5034, 827, 623, 236766, 36977, 236779, 88180, 236779, 15979, 1083, 1847, 236764, 623, 236766, 36977, 236779, 547, 1083, 623, 63656, 62447, 236772, 236832, 236828, 236819, 236771, 827, 623, 88180, 236779, 153930, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14007, 236779, 2451, 1083, 623, 2574, 1411, 236766, 36977, 33864, 236761, 8358, 236761, 854, 236786, 63656, 62447, 236772, 236832, 236828, 236819, 236771, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 35396, 1083, 623, 236778, 236771, 236812, 236828, 236781, 236770, 236810, 236800, 236825, 25938, 106, 107, 105, 4368, 107, 818, 16878, 17611, 691, 3149, 236764, 532, 506, 2471, 815, 1010, 52236, 236787, 108, 1018, 236847, 36977, 20141, 10739, 53121, 4560, 1411, 236766, 36977, 33864, 236761, 8358, 236761, 854, 236786, 63656, 62447, 236772, 236832, 236828, 236819, 236771, 236761, 4034, 138, 107, 1018, 61651, 53121, 236743, 236778, 236771, 236812, 236828, 236781, 236770, 236810, 236800, 236825, 138, 107, 1018, 40573, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 138, 108, 818, 13718, 3671, 740, 1492, 7162, 1699, 506, 3847, 2471, 3205, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 6845, 506, 4981, 529, 15237, 3253, 15049, 997, 236778, 236771, 236778, 236800, 236772, 236812, 236810, 236770, 1699, 506, 1998, 590, 236779, 4818, 236779, 543, 590, 236779, 37947, 236779, 828, 5904, 236761, 1637, 506, 3072, 11387, 623, 236766, 36977, 236779, 88180, 236779, 15979, 1083, 3397, 236764, 8430, 506, 16878, 236779, 547, 699, 506, 10434, 3072, 532, 1161, 974, 236779, 236766, 36977, 236779, 14007, 607, 600, 5853, 531, 33205, 506, 2471, 573, 13718, 3671, 236761, 1637, 623, 236766, 36977, 236779, 88180, 236779, 15979, 236775, 563, 2416, 236764, 994, 783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37947, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236812, 236810, 236770, 827, 623, 4818, 1083, 623, 5034, 827, 623, 236766, 36977, 236779, 88180, 236779, 15979, 1083, 1847, 236764, 623, 236766, 36977, 236779, 547, 1083, 623, 63656, 62447, 236772, 236832, 236828, 236819, 236771, 827, 623, 88180, 236779, 153930, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14007, 236779, 2451, 1083, 623, 2574, 1411, 236766, 36977, 33864, 236761, 8358, 236761, 854, 236786, 63656, 62447, 236772, 236832, 236828, 236819, 236771, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 35396, 1083, 623, 236778, 236771, 236812, 236828, 236781, 236770, 236810, 236800, 236825, 25938, 106, 107, 105, 4368, 107, 818, 16878, 17611, 691, 3149, 236764, 532, 506, 2471, 815, 1010, 52236, 236787, 108, 1018, 236847, 36977, 20141, 10739, 53121, 4560, 1411, 236766, 36977, 33864, 236761, 8358, 236761, 854, 236786, 63656, 62447, 236772, 236832, 236828, 236819, 236771, 236761, 4034, 138, 107, 1018, 61651, 53121, 236743, 236778, 236771, 236812, 236828, 236781, 236770, 236810, 236800, 236825, 138, 107, 1018, 40573, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 138, 108, 818, 13718, 3671, 740, 1492, 7162, 1699, 506, 3847, 2471, 3205, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 496, 21811, 126260, 573, 1023, 3399, 118011, 569, 1450, 12402, 44779, 529, 7164, 236746, 24037, 2203, 236761, 5315, 236764, 2426, 768, 639, 28536, 236828, 236828, 236789, 236751, 5058, 740, 4253, 21811, 55675, 1074, 607, 9918, 24676, 236761, 1637, 11262, 236764, 2619, 496, 639, 28536, 236828, 236828, 2881, 1208, 623, 19725, 45728, 32462, 88219, 8817, 236775, 607, 1041, 4553, 673, 634, 525, 552, 73162, 236832, 236778, 236940, 18112, 236761, 854, 236761, 9920, 506, 2881, 563, 10833, 236764, 1076, 872, 496, 126260, 573, 496, 6672, 26135, 1610, 11406, 26248, 657, 609, 236810, 236771, 236771, 236764, 17096, 236743, 236832, 236771, 236908, 529, 24676, 817, 531, 506, 529, 7164, 236746, 3055, 532, 236743, 236800, 236771, 236908, 531, 5058, 12412, 236761, 13472, 236764, 8729, 42527, 5417, 1343, 639, 28536, 236828, 236828, 236789, 236751, 7009, 6436, 28307, 1800, 2263, 4426, 45728, 10465, 532, 26135, 9226, 4402, 528, 10561, 236761, 1637, 1027, 2918, 20269, 236764, 29596, 786, 6842, 834, 692, 740, 6253, 236761, 106, 107, 105, 4368, 107, 236820, 4606, 236813, 107, 236777, 3914, 5467, 2426, 639, 28536, 236828, 236828, 236789, 236751, 15858, 653, 2121, 2881, 11381, 236786, 601, 164164, 10884, 1343, 506, 3847, 6436, 236764, 618, 506, 3149, 6137, 573, 1239, 7419, 659, 711, 13925, 528, 506, 5904, 23003, 236761, 1701, 21811, 55675, 1074, 607, 9918, 24676, 236764, 611, 1093, 1202, 531, 236787, 108, 236770, 236761, 13948, 639, 28536, 236828, 236828, 5467, 4323, 910, 5125, 1894, 13199, 531, 9128, 768, 21811, 55675, 1074, 607, 2401, 10471, 52204, 568, 236832, 236771, 236786, 236800, 236771, 528, 672, 1624, 236768, 659, 18345, 1208, 56773, 19595, 236761, 108, 236778, 236761, 1637, 10833, 236764, 611, 1093, 1202, 531, 24473, 2619, 496, 1960, 2881, 1343, 910, 4456, 1699, 822, 4553, 236764, 6655, 4127, 13049, 573, 623, 19725, 45728, 32462, 88219, 8817, 3056, 108, 236800, 236761, 5490, 607, 910, 5058, 42360, 531, 26955, 506, 126260, 573, 506, 609, 236810, 236771, 236771, 1610, 11406, 607, 506, 9155, 3055, 25519, 236761, 108, 236812, 236761, 6890, 910, 7009, 6436, 568, 584, 2487, 236768, 653, 16422, 607, 910, 2434, 573, 42527, 5417, 28307, 822, 9155, 28675, 236761, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 614, 5125, 26410, 4553, 531, 639, 28536, 236828, 236828, 236789, 236751, 1894, 2434, 8859, 1239, 6035, 236881, 107, 954, 4606, 236813, 106, 107, 105, 2364, 107, 10784, 236764, 5091, 12262, 614, 5125, 26410, 4553, 531, 639, 28536, 236828, 236828, 236789, 236751, 1894, 2434, 236761, 12213, 784, 4889, 236787, 21811, 126260, 5708, 236764, 236743, 236832, 236771, 236786, 236800, 236771, 10471, 9918, 13469, 236764, 1960, 2881, 15020, 1208, 623, 19725, 45728, 32462, 88219, 8817, 236775, 607, 673, 634, 525, 552, 73162, 236832, 236778, 236940, 18112, 236761, 854, 236764, 609, 236810, 236771, 236771, 1610, 11406, 9831, 236764, 532, 42527, 2561, 23003, 28307, 1800, 2263, 4426, 45728, 10465, 532, 10561, 26135, 9226, 4402, 236761, 127297, 1041, 1695, 618, 496, 3399, 61259, 607, 236743, 236800, 236771, 236862, 1518, 529, 2707, 22293, 118011, 569, 1450, 12402, 44779, 4749, 236761, 20373, 506, 12262, 573, 1041, 3540, 1680, 15656, 625, 531, 112171, 28471, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 2064, 1083, 623, 113609, 7689, 711, 5221, 528, 5904, 30539, 827, 623, 3955, 1083, 623, 113609, 7689, 711, 5221, 528, 5904, 30539, 827, 623, 13308, 1083, 623, 113609, 7689, 711, 5221, 528, 5904, 30539, 236775, 19465, 106, 107, 105, 4368, 107, 236820, 4606, 236813, 107, 236777, 3914, 5467, 5039, 24157, 1343, 506, 639, 28536, 236828, 236828, 5904, 236764, 618, 625, 40826, 4553, 18544, 6137, 236761, 3153, 236764, 564, 236789, 560, 7759, 506, 12262, 3426, 573, 822, 3540, 236787, 108, 7243, 108, 1018, 21288, 53121, 34883, 87101, 11968, 73354, 159718, 45012, 573, 118011, 569, 1450, 12402, 44779, 32462, 88219, 108, 31163, 639, 28536, 236828, 236828, 12730, 10765, 236764, 108, 236777, 1006, 5712, 618, 506, 2080, 3399, 61259, 573, 506, 5213, 19725, 45728, 32462, 88219, 8817, 125546, 496, 82158, 17358, 607, 236743, 236800, 236771, 236862, 1518, 529, 2707, 22293, 118011, 569, 1450, 12402, 44779, 42927, 528, 17850, 236761, 1191, 6370, 531, 41049, 607, 822, 5058, 531, 4253, 496, 5213, 4873, 665, 126260, 1018, 11584, 506, 24037, 529, 1023, 17110, 529, 7164, 236746, 3432, 236761, 30791, 659, 1023, 6035, 236787, 108, 236770, 236761, 5213, 5820, 665, 159718, 36376, 1018, 138, 107, 139, 236772, 25396, 13196, 573, 496, 126260, 1298, 5213, 236832, 236771, 236908, 529, 24676, 1018, 5467, 3055, 1023, 529, 7164, 236746, 24037, 2203, 138, 107, 139, 236772, 5213, 236800, 236771, 236908, 25519, 1018, 531, 5058, 12412, 236786, 92973, 5384, 236764, 810, 56773, 17286, 6035, 138, 108, 236778, 236761, 5213, 13169, 833, 35265, 1018, 138, 107, 139, 236772, 7449, 2881, 15020, 1208, 623, 19725, 45728, 32462, 88219, 8817, 236775, 568, 11607, 236787, 673, 634, 525, 552, 73162, 236832, 236778, 236940, 18112, 236761, 854, 236768, 138, 107, 139, 236772, 159718, 10884, 573, 496, 5213, 236795, 236810, 236771, 236771, 6672, 26135, 1610, 11406, 1018, 568, 22239, 110057, 10682, 236763, 11382, 507, 236764, 60259, 57005, 236764, 532, 141474, 38640, 236768, 138, 108, 236800, 236761, 5213, 10206, 524, 63326, 1018, 138, 107, 139, 236772, 18508, 5417, 528, 1800, 5213, 27832, 532, 14361, 1018, 138, 107, 139, 236772, 73888, 28307, 573, 5213, 19725, 45728, 236764, 15237, 10465, 1018, 532, 5213, 49548, 236772, 5140, 26135, 9226, 9780, 1018, 568, 236744, 236761, 236759, 1126, 83606, 1438, 569, 32577, 696, 10561, 12230, 236768, 138, 108, 2205, 496, 26896, 61259, 529, 17850, 236789, 7488, 118011, 569, 1450, 12402, 44779, 4749, 236764, 564, 740, 2847, 13049, 529, 1023, 38911, 4981, 532, 2460, 22779, 3324, 2864, 236761, 7323, 9128, 822, 5058, 236789, 236751, 5596, 531, 236787, 138, 107, 236772, 7708, 1154, 20655, 21811, 55675, 1074, 1208, 56773, 19595, 138, 107, 236772, 41276, 2401, 10471, 52204, 138, 107, 236772, 12730, 4071, 236772, 12148, 42527, 24742, 138, 108, 236777, 4825, 822, 14984, 580, 2148, 6555, 573, 2881, 28250, 532, 126260, 9831, 236761, 10770, 611, 573, 11337, 672, 11403, 531, 22435, 26135, 9226, 23060, 1343, 4181, 13862, 236761, 108, 17043, 23574, 236764, 138, 107, 1018, 117883, 29827, 497, 1018, 138, 107, 66825, 143092, 236764, 4426, 45728, 32462, 88219, 8817, 138, 107, 236840, 9704, 9661, 236842, 1109, 870, 236792, 16711, 15874, 236842, 138, 108, 7243, 108, 1018, 9272, 50228, 53121, 138, 107, 236770, 236761, 9352, 506, 12262, 2787, 573, 10634, 236761, 138, 107, 236778, 236761, 20373, 672, 4553, 24473, 531, 639, 28536, 236828, 236828, 236789, 236751, 5125, 1894, 3421, 699, 822, 4553, 4430, 568, 236804, 634, 525, 552, 73162, 236832, 236778, 236940, 18112, 236761, 854, 769, 138, 107, 236800, 236761, 1637, 639, 28536, 236828, 236828, 7087, 3530, 6667, 653, 6585, 236764, 4024, 910, 3072, 1590, 236764, 532, 564, 236858, 859, 1601, 10151, 6035, 573, 2881, 10884, 236786, 601, 164164, 9831, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 30981, 531, 506, 12262, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 496, 21811, 126260, 573, 1023, 3399, 118011, 569, 1450, 12402, 44779, 529, 7164, 236746, 24037, 2203, 236761, 5315, 236764, 2426, 768, 639, 28536, 236828, 236828, 236789, 236751, 5058, 740, 4253, 21811, 55675, 1074, 607, 9918, 24676, 236761, 1637, 11262, 236764, 2619, 496, 639, 28536, 236828, 236828, 2881, 1208, 623, 19725, 45728, 32462, 88219, 8817, 236775, 607, 1041, 4553, 673, 634, 525, 552, 73162, 236832, 236778, 236940, 18112, 236761, 854, 236761, 9920, 506, 2881, 563, 10833, 236764, 1076, 872, 496, 126260, 573, 496, 6672, 26135, 1610, 11406, 26248, 657, 609, 236810, 236771, 236771, 236764, 17096, 236743, 236832, 236771, 236908, 529, 24676, 817, 531, 506, 529, 7164, 236746, 3055, 532, 236743, 236800, 236771, 236908, 531, 5058, 12412, 236761, 13472, 236764, 8729, 42527, 5417, 1343, 639, 28536, 236828, 236828, 236789, 236751, 7009, 6436, 28307, 1800, 2263, 4426, 45728, 10465, 532, 26135, 9226, 4402, 528, 10561, 236761, 1637, 1027, 2918, 20269, 236764, 29596, 786, 6842, 834, 692, 740, 6253, 236761, 106, 107, 105, 4368, 107, 236820, 4606, 236813, 107, 236777, 3914, 5467, 2426, 639, 28536, 236828, 236828, 236789, 236751, 15858, 653, 2121, 2881, 11381, 236786, 601, 164164, 10884, 1343, 506, 3847, 6436, 236764, 618, 506, 3149, 6137, 573, 1239, 7419, 659, 711, 13925, 528, 506, 5904, 23003, 236761, 1701, 21811, 55675, 1074, 607, 9918, 24676, 236764, 611, 1093, 1202, 531, 236787, 108, 236770, 236761, 13948, 639, 28536, 236828, 236828, 5467, 4323, 910, 5125, 1894, 13199, 531, 9128, 768, 21811, 55675, 1074, 607, 2401, 10471, 52204, 568, 236832, 236771, 236786, 236800, 236771, 528, 672, 1624, 236768, 659, 18345, 1208, 56773, 19595, 236761, 108, 236778, 236761, 1637, 10833, 236764, 611, 1093, 1202, 531, 24473, 2619, 496, 1960, 2881, 1343, 910, 4456, 1699, 822, 4553, 236764, 6655, 4127, 13049, 573, 623, 19725, 45728, 32462, 88219, 8817, 3056, 108, 236800, 236761, 5490, 607, 910, 5058, 42360, 531, 26955, 506, 126260, 573, 506, 609, 236810, 236771, 236771, 1610, 11406, 607, 506, 9155, 3055, 25519, 236761, 108, 236812, 236761, 6890, 910, 7009, 6436, 568, 584, 2487, 236768, 653, 16422, 607, 910, 2434, 573, 42527, 5417, 28307, 822, 9155, 28675, 236761, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 614, 5125, 26410, 4553, 531, 639, 28536, 236828, 236828, 236789, 236751, 1894, 2434, 8859, 1239, 6035, 236881, 107, 954, 4606, 236813, 106, 107, 105, 2364, 107, 10784, 236764, 5091, 12262, 614, 5125, 26410, 4553, 531, 639, 28536, 236828, 236828, 236789, 236751, 1894, 2434, 236761, 12213, 784, 4889, 236787, 21811, 126260, 5708, 236764, 236743, 236832, 236771, 236786, 236800, 236771, 10471, 9918, 13469, 236764, 1960, 2881, 15020, 1208, 623, 19725, 45728, 32462, 88219, 8817, 236775, 607, 673, 634, 525, 552, 73162, 236832, 236778, 236940, 18112, 236761, 854, 236764, 609, 236810, 236771, 236771, 1610, 11406, 9831, 236764, 532, 42527, 2561, 23003, 28307, 1800, 2263, 4426, 45728, 10465, 532, 10561, 26135, 9226, 4402, 236761, 127297, 1041, 1695, 618, 496, 3399, 61259, 607, 236743, 236800, 236771, 236862, 1518, 529, 2707, 22293, 118011, 569, 1450, 12402, 44779, 4749, 236761, 20373, 506, 12262, 573, 1041, 3540, 1680, 15656, 625, 531, 112171, 28471, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 2064, 1083, 623, 113609, 7689, 711, 5221, 528, 5904, 30539, 827, 623, 3955, 1083, 623, 113609, 7689, 711, 5221, 528, 5904, 30539, 827, 623, 13308, 1083, 623, 113609, 7689, 711, 5221, 528, 5904, 30539, 236775, 19465, 106, 107, 105, 4368, 107, 236820, 4606, 236813, 107, 236777, 3914, 5467, 5039, 24157, 1343, 506, 639, 28536, 236828, 236828, 5904, 236764, 618, 625, 40826, 4553, 18544, 6137, 236761, 3153, 236764, 564, 236789, 560, 7759, 506, 12262, 3426, 573, 822, 3540, 236787, 108, 7243, 108, 1018, 21288, 53121, 34883, 87101, 11968, 73354, 159718, 45012, 573, 118011, 569, 1450, 12402, 44779, 32462, 88219, 108, 31163, 639, 28536, 236828, 236828, 12730, 10765, 236764, 108, 236777, 1006, 5712, 618, 506, 2080, 3399, 61259, 573, 506, 5213, 19725, 45728, 32462, 88219, 8817, 125546, 496, 82158, 17358, 607, 236743, 236800, 236771, 236862, 1518, 529, 2707, 22293, 118011, 569, 1450, 12402, 44779, 42927, 528, 17850, 236761, 1191, 6370, 531, 41049, 607, 822, 5058, 531, 4253, 496, 5213, 4873, 665, 126260, 1018, 11584, 506, 24037, 529, 1023, 17110, 529, 7164, 236746, 3432, 236761, 30791, 659, 1023, 6035, 236787, 108, 236770, 236761, 5213, 5820, 665, 159718, 36376, 1018, 138, 107, 139, 236772, 25396, 13196, 573, 496, 126260, 1298, 5213, 236832, 236771, 236908, 529, 24676, 1018, 5467, 3055, 1023, 529, 7164, 236746, 24037, 2203, 138, 107, 139, 236772, 5213, 236800, 236771, 236908, 25519, 1018, 531, 5058, 12412, 236786, 92973, 5384, 236764, 810, 56773, 17286, 6035, 138, 108, 236778, 236761, 5213, 13169, 833, 35265, 1018, 138, 107, 139, 236772, 7449, 2881, 15020, 1208, 623, 19725, 45728, 32462, 88219, 8817, 236775, 568, 11607, 236787, 673, 634, 525, 552, 73162, 236832, 236778, 236940, 18112, 236761, 854, 236768, 138, 107, 139, 236772, 159718, 10884, 573, 496, 5213, 236795, 236810, 236771, 236771, 6672, 26135, 1610, 11406, 1018, 568, 22239, 110057, 10682, 236763, 11382, 507, 236764, 60259, 57005, 236764, 532, 141474, 38640, 236768, 138, 108, 236800, 236761, 5213, 10206, 524, 63326, 1018, 138, 107, 139, 236772, 18508, 5417, 528, 1800, 5213, 27832, 532, 14361, 1018, 138, 107, 139, 236772, 73888, 28307, 573, 5213, 19725, 45728, 236764, 15237, 10465, 1018, 532, 5213, 49548, 236772, 5140, 26135, 9226, 9780, 1018, 568, 236744, 236761, 236759, 1126, 83606, 1438, 569, 32577, 696, 10561, 12230, 236768, 138, 108, 2205, 496, 26896, 61259, 529, 17850, 236789, 7488, 118011, 569, 1450, 12402, 44779, 4749, 236764, 564, 740, 2847, 13049, 529, 1023, 38911, 4981, 532, 2460, 22779, 3324, 2864, 236761, 7323, 9128, 822, 5058, 236789, 236751, 5596, 531, 236787, 138, 107, 236772, 7708, 1154, 20655, 21811, 55675, 1074, 1208, 56773, 19595, 138, 107, 236772, 41276, 2401, 10471, 52204, 138, 107, 236772, 12730, 4071, 236772, 12148, 42527, 24742, 138, 108, 236777, 4825, 822, 14984, 580, 2148, 6555, 573, 2881, 28250, 532, 126260, 9831, 236761, 10770, 611, 573, 11337, 672, 11403, 531, 22435, 26135, 9226, 23060, 1343, 4181, 13862, 236761, 108, 17043, 23574, 236764, 138, 107, 1018, 117883, 29827, 497, 1018, 138, 107, 66825, 143092, 236764, 4426, 45728, 32462, 88219, 8817, 138, 107, 236840, 9704, 9661, 236842, 1109, 870, 236792, 16711, 15874, 236842, 138, 108, 7243, 108, 1018, 9272, 50228, 53121, 138, 107, 236770, 236761, 9352, 506, 12262, 2787, 573, 10634, 236761, 138, 107, 236778, 236761, 20373, 672, 4553, 24473, 531, 639, 28536, 236828, 236828, 236789, 236751, 5125, 1894, 3421, 699, 822, 4553, 4430, 568, 236804, 634, 525, 552, 73162, 236832, 236778, 236940, 18112, 236761, 854, 769, 138, 107, 236800, 236761, 1637, 639, 28536, 236828, 236828, 7087, 3530, 6667, 653, 6585, 236764, 4024, 910, 3072, 1590, 236764, 532, 564, 236858, 859, 1601, 10151, 6035, 573, 2881, 10884, 236786, 601, 164164, 9831, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 30981, 531, 506, 12262, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1601, 786, 2260, 496, 10224, 531, 1799, 3773, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 5039, 24157, 236761, 1637, 611, 1202, 1601, 607, 10224, 52246, 236764, 611, 2473, 1461, 531, 1161, 496, 4301, 22479, 4456, 653, 3662, 496, 4301, 10345, 236761, 3792, 786, 1281, 768, 993, 236789, 236751, 4658, 1663, 564, 740, 6361, 611, 607, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1601, 786, 2260, 496, 10224, 531, 1799, 3773, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 5039, 24157, 236761, 1637, 611, 1202, 1601, 607, 10224, 52246, 236764, 611, 2473, 1461, 531, 1161, 496, 4301, 22479, 4456, 653, 3662, 496, 4301, 10345, 236761, 3792, 786, 1281, 768, 993, 236789, 236751, 4658, 1663, 564, 740, 6361, 611, 607, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 7312, 1003, 506, 5527, 13728, 529, 4257, 14809, 39347, 528, 56125, 11849, 236789, 236751, 14896, 3956, 236761, 28344, 611, 33205, 506, 6524, 7384, 10471, 532, 2657, 7094, 9732, 573, 496, 3262, 14896, 2544, 1133, 6475, 568, 138555, 5295, 2907, 699, 910, 23199, 89707, 236881, 564, 1202, 672, 4403, 531, 8357, 506, 3956, 236789, 236751, 4867, 10092, 528, 1041, 2260, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 10677, 3692, 236798, 827, 623, 87551, 236779, 23735, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 827, 623, 193309, 236779, 3704, 236779, 643, 1083, 623, 236778, 236771, 236778, 236800, 827, 623, 83122, 1083, 236743, 236778, 236828, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 27163, 1083, 236743, 236832, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 5600, 1083, 236743, 236819, 236761, 236810, 236778, 236764, 623, 6725, 236779, 9301, 1083, 236743, 236812, 236812, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 236779, 1554, 8027, 1083, 236743, 236770, 236825, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 52107, 236779, 5101, 236779, 68382, 1083, 236743, 236770, 236771, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 15443, 236779, 2084, 1083, 623, 236770, 236771, 236772, 236855, 827, 623, 3267, 522, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 818, 6524, 23199, 89707, 573, 98278, 5295, 236761, 568, 10677, 3692, 236798, 236768, 2072, 506, 2269, 4867, 9732, 573, 506, 16347, 1051, 16548, 6384, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 108, 236772, 5213, 68051, 34607, 66515, 609, 236778, 236828, 236778, 7889, 138, 107, 236772, 5213, 8233, 30521, 66515, 609, 236832, 236800, 7889, 138, 108, 9208, 9732, 659, 56466, 699, 98278, 236789, 236751, 5213, 236770, 236771, 236772, 236855, 7384, 2072, 125546, 12395, 607, 506, 23199, 580, 7250, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236761, 669, 1262, 22136, 506, 2544, 236789, 236751, 4867, 3736, 1913, 506, 236743, 236778, 236771, 236778, 236800, 13761, 2846, 236761, 236743, 108, 2094, 4403, 20756, 506, 5559, 529, 10471, 532, 46407, 528, 56125, 11849, 236789, 236751, 14896, 7095, 236764, 837, 1149, 1894, 822, 3671, 529, 5527, 13728, 528, 506, 3956, 236761, 3792, 786, 1281, 768, 611, 1202, 4767, 19455, 236888, 106, 107, 105, 2364, 107, 818, 9732, 573, 98278, 659, 15978, 236764, 840, 564, 236858, 236753, 1133, 531, 10769, 1091, 607, 2264, 3262, 4155, 528, 506, 11849, 236761, 28344, 611, 33205, 9265, 236858, 236751, 7384, 10471, 532, 2657, 7094, 699, 910, 6524, 236743, 236770, 236771, 236772, 236855, 22628, 236881, 564, 1461, 531, 8357, 506, 5527, 15459, 529, 14896, 47941, 1590, 236764, 4285, 2338, 1551, 4257, 14809, 22072, 532, 31011, 735, 19263, 531, 1800, 4699, 1024, 506, 13013, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 18801, 14508, 827, 623, 64939, 1083, 623, 5352, 7627, 827, 623, 27083, 236779, 3267, 522, 1083, 3714, 2084, 1083, 623, 236770, 236771, 236772, 236855, 827, 623, 193309, 236779, 3704, 236779, 643, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236800, 236771, 827, 623, 83122, 1083, 236743, 236778, 236770, 236770, 236825, 236832, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 27163, 1083, 236743, 236832, 236778, 236800, 236825, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 220929, 236779, 721, 236779, 23788, 1083, 236743, 236770, 236770, 236761, 236771, 236825, 236764, 623, 6725, 236779, 9301, 1083, 236743, 236812, 236812, 236810, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 236779, 1554, 8027, 1083, 236743, 236770, 236819, 236810, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 117468, 236779, 52107, 236779, 5101, 1083, 236743, 236828, 236832, 236825, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 623, 27617, 1083, 623, 38556, 827, 623, 3267, 522, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236778, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 659, 9265, 236789, 236751, 568, 5352, 7627, 236768, 6524, 4867, 9732, 699, 910, 5213, 236770, 236771, 236772, 236855, 22628, 1018, 573, 506, 16347, 1051, 16548, 5142, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 236787, 108, 236772, 5213, 68051, 34607, 66515, 609, 236778, 236770, 236770, 236761, 236825, 236832, 7889, 138, 107, 236772, 5213, 8233, 30521, 66515, 609, 236832, 236778, 236761, 236800, 236825, 7889, 138, 108, 10354, 36520, 607, 98278, 568, 10677, 3692, 236798, 1473, 138, 107, 236909, 106022, 151, 236909, 98278, 568, 236778, 236771, 236778, 236800, 236768, 142, 236909, 9265, 568, 236778, 236771, 236778, 236812, 236768, 141, 236909, 138, 107, 236909, 2819, 33129, 236909, 2819, 33129, 236909, 2819, 33129, 236909, 138, 107, 236909, 5213, 87093, 1018, 146, 236909, 609, 236778, 236828, 236778, 7889, 145, 236909, 609, 236778, 236770, 236770, 236761, 236825, 236832, 7889, 142, 236909, 138, 107, 236909, 5213, 8233, 30521, 1018, 143, 236909, 609, 236832, 236800, 7889, 146, 236909, 609, 236832, 236778, 236761, 236800, 236825, 7889, 143, 236909, 138, 108, 10354, 9533, 76374, 573, 5180, 13768, 236787, 138, 107, 236770, 236761, 5213, 15098, 529, 27194, 66515, 10508, 4699, 205860, 506, 4867, 14889, 529, 56125, 11849, 236764, 607, 9292, 25229, 34957, 609, 236812, 236819, 236800, 7889, 236761, 138, 107, 236778, 236761, 5213, 109048, 2109, 66515, 9265, 236789, 236751, 2657, 7094, 563, 7109, 15779, 531, 98278, 236789, 236751, 9785, 3718, 10471, 236764, 32427, 52726, 1960, 4681, 568, 236744, 236761, 236759, 1126, 9265, 236789, 236751, 3213, 580, 18315, 5368, 7728, 236761, 98278, 236789, 236751, 772, 236772, 27612, 2028, 769, 138, 107, 236800, 236761, 5213, 201026, 529, 73362, 66515, 4257, 14809, 22072, 236764, 36285, 236764, 532, 47663, 735, 21735, 1800, 4699, 236789, 53293, 237028, 236744, 236761, 236759, 1126, 9265, 11279, 15872, 2373, 35319, 3192, 568, 38277, 236772, 14645, 236768, 532, 98278, 236789, 236751, 7214, 516, 161578, 1389, 568, 23681, 6225, 236772, 14645, 779, 1015, 7539, 5934, 657, 1800, 14601, 236761, 138, 108, 9208, 9732, 126226, 506, 5527, 15459, 532, 172059, 529, 14896, 47941, 236764, 837, 735, 188061, 1343, 4185, 10592, 42433, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 106, 107, 105, 2364, 107, 30092, 611, 33205, 9947, 236858, 236751, 7384, 10471, 532, 2657, 7094, 699, 910, 6524, 236743, 236770, 236771, 236772, 236855, 22628, 236881, 564, 236858, 236753, 1133, 531, 1138, 1091, 531, 672, 9960, 236764, 618, 9947, 236858, 236751, 33744, 237028, 74864, 1208, 9902, 9940, 236858, 236751, 10319, 607, 6225, 236772, 20205, 36285, 1133, 16447, 2839, 18516, 568, 236773, 20134, 529, 27194, 82479, 48409, 236751, 506, 5268, 4257, 14809, 7630, 528, 56125, 11849, 236858, 236751, 6429, 7797, 532, 1698, 13862, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 226046, 827, 623, 27083, 236779, 236770, 236771, 236767, 1083, 3714, 193309, 236779, 3704, 236779, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 827, 623, 6725, 236779, 83122, 1083, 236743, 236800, 236819, 236812, 236800, 236778, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 27163, 1083, 236743, 236819, 236825, 236819, 236819, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 5600, 1083, 236743, 236810, 236761, 236828, 236825, 236764, 623, 3267, 522, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 23179, 623, 7778, 81011, 1083, 3714, 10696, 236779, 14905, 1083, 3714, 3250, 1083, 623, 63460, 827, 623, 117548, 236779, 25142, 1083, 623, 236778, 236771, 236770, 236770, 23179, 623, 87144, 2839, 236779, 125819, 1083, 3714, 3250, 1083, 623, 236773, 20134, 529, 27194, 827, 623, 74928, 1083, 623, 236770, 236819, 236819, 236810, 236775, 5237, 623, 71703, 236779, 10864, 236779, 62580, 1083, 3714, 61884, 236779, 68382, 1083, 623, 3503, 11675, 15039, 573, 13921, 14510, 827, 623, 45071, 236779, 59649, 236779, 7778, 81011, 1083, 236743, 236770, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 659, 9947, 236789, 236751, 568, 226046, 236768, 6524, 4867, 9732, 699, 910, 5213, 236770, 236771, 236772, 236855, 22628, 1018, 573, 506, 16347, 1051, 16548, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 108, 236772, 5213, 68051, 34607, 66515, 609, 236800, 236819, 236812, 236761, 236800, 236800, 7889, 138, 107, 236772, 5213, 8233, 30521, 66515, 609, 236819, 236832, 236761, 236771, 7889, 138, 108, 10354, 42841, 36520, 568, 236778, 236771, 236778, 236800, 236964, 236778, 236771, 236778, 236812, 57800, 25712, 1473, 138, 107, 236909, 106022, 151, 236909, 98278, 568, 236778, 236771, 236778, 236800, 236768, 142, 236909, 9265, 568, 236778, 236771, 236778, 236812, 236768, 141, 236909, 9947, 568, 236778, 236771, 236778, 236800, 236768, 145, 236909, 138, 107, 236909, 2819, 33129, 236909, 2819, 33129, 236909, 2819, 33129, 236909, 2819, 33129, 236909, 138, 107, 236909, 5213, 87093, 1018, 146, 236909, 609, 236778, 236828, 236778, 7889, 145, 236909, 609, 236778, 236770, 236770, 236761, 236825, 236832, 7889, 142, 236909, 609, 236800, 236819, 236812, 236761, 236800, 236800, 7889, 142, 236909, 138, 107, 236909, 5213, 8233, 30521, 1018, 143, 236909, 609, 236832, 236800, 7889, 146, 236909, 609, 236832, 236778, 236761, 236800, 236825, 7889, 143, 236909, 609, 236819, 236832, 236761, 236771, 7889, 144, 236909, 138, 108, 10354, 9533, 76374, 573, 5180, 13768, 236787, 138, 107, 236770, 236761, 5213, 31319, 236858, 236751, 23737, 831, 66515, 9947, 236858, 236751, 10471, 532, 2657, 7094, 41185, 1800, 98278, 532, 9265, 236764, 41671, 1061, 13671, 1698, 7545, 532, 18481, 236772, 27612, 3877, 236761, 138, 107, 236778, 236761, 5213, 23425, 14809, 36485, 66515, 138, 107, 139, 236772, 5213, 55471, 2839, 18516, 1018, 568, 38277, 236772, 20205, 164110, 529, 27194, 236768, 100638, 9947, 236858, 236751, 4185, 6429, 7797, 236764, 6749, 531, 13921, 3719, 532, 33972, 236761, 138, 107, 139, 236772, 4673, 236858, 236751, 3853, 618, 496, 5213, 2478, 11675, 15039, 1018, 573, 13921, 14510, 22136, 506, 6730, 7630, 529, 4257, 14809, 10592, 528, 14896, 6429, 21896, 236761, 138, 107, 236800, 236761, 5213, 111534, 17936, 66515, 9947, 236858, 236751, 50932, 580, 4257, 14809, 36285, 532, 11675, 12230, 104811, 506, 4128, 236858, 236751, 14413, 3853, 618, 1800, 496, 10592, 18922, 532, 17934, 58921, 573, 56125, 11849, 236761, 138, 108, 9208, 9732, 532, 10319, 8698, 31650, 822, 22323, 580, 1217, 4257, 14809, 13728, 15184, 8330, 13862, 236764, 17934, 29412, 236764, 532, 4185, 2436, 10534, 528, 506, 14896, 18481, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 170935, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 7312, 1003, 506, 5527, 13728, 529, 4257, 14809, 39347, 528, 56125, 11849, 236789, 236751, 14896, 3956, 236761, 28344, 611, 33205, 506, 6524, 7384, 10471, 532, 2657, 7094, 9732, 573, 496, 3262, 14896, 2544, 1133, 6475, 568, 138555, 5295, 2907, 699, 910, 23199, 89707, 236881, 564, 1202, 672, 4403, 531, 8357, 506, 3956, 236789, 236751, 4867, 10092, 528, 1041, 2260, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 10677, 3692, 236798, 827, 623, 87551, 236779, 23735, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 827, 623, 193309, 236779, 3704, 236779, 643, 1083, 623, 236778, 236771, 236778, 236800, 827, 623, 83122, 1083, 236743, 236778, 236828, 236778, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 27163, 1083, 236743, 236832, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 5600, 1083, 236743, 236819, 236761, 236810, 236778, 236764, 623, 6725, 236779, 9301, 1083, 236743, 236812, 236812, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 236779, 1554, 8027, 1083, 236743, 236770, 236825, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 52107, 236779, 5101, 236779, 68382, 1083, 236743, 236770, 236771, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 15443, 236779, 2084, 1083, 623, 236770, 236771, 236772, 236855, 827, 623, 3267, 522, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 818, 6524, 23199, 89707, 573, 98278, 5295, 236761, 568, 10677, 3692, 236798, 236768, 2072, 506, 2269, 4867, 9732, 573, 506, 16347, 1051, 16548, 6384, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 108, 236772, 5213, 68051, 34607, 66515, 609, 236778, 236828, 236778, 7889, 138, 107, 236772, 5213, 8233, 30521, 66515, 609, 236832, 236800, 7889, 138, 108, 9208, 9732, 659, 56466, 699, 98278, 236789, 236751, 5213, 236770, 236771, 236772, 236855, 7384, 2072, 125546, 12395, 607, 506, 23199, 580, 7250, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236761, 669, 1262, 22136, 506, 2544, 236789, 236751, 4867, 3736, 1913, 506, 236743, 236778, 236771, 236778, 236800, 13761, 2846, 236761, 236743, 108, 2094, 4403, 20756, 506, 5559, 529, 10471, 532, 46407, 528, 56125, 11849, 236789, 236751, 14896, 7095, 236764, 837, 1149, 1894, 822, 3671, 529, 5527, 13728, 528, 506, 3956, 236761, 3792, 786, 1281, 768, 611, 1202, 4767, 19455, 236888, 106, 107, 105, 2364, 107, 818, 9732, 573, 98278, 659, 15978, 236764, 840, 564, 236858, 236753, 1133, 531, 10769, 1091, 607, 2264, 3262, 4155, 528, 506, 11849, 236761, 28344, 611, 33205, 9265, 236858, 236751, 7384, 10471, 532, 2657, 7094, 699, 910, 6524, 236743, 236770, 236771, 236772, 236855, 22628, 236881, 564, 1461, 531, 8357, 506, 5527, 15459, 529, 14896, 47941, 1590, 236764, 4285, 2338, 1551, 4257, 14809, 22072, 532, 31011, 735, 19263, 531, 1800, 4699, 1024, 506, 13013, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 18801, 14508, 827, 623, 64939, 1083, 623, 5352, 7627, 827, 623, 27083, 236779, 3267, 522, 1083, 3714, 2084, 1083, 623, 236770, 236771, 236772, 236855, 827, 623, 193309, 236779, 3704, 236779, 643, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236800, 236771, 827, 623, 83122, 1083, 236743, 236778, 236770, 236770, 236825, 236832, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 27163, 1083, 236743, 236832, 236778, 236800, 236825, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 220929, 236779, 721, 236779, 23788, 1083, 236743, 236770, 236770, 236761, 236771, 236825, 236764, 623, 6725, 236779, 9301, 1083, 236743, 236812, 236812, 236810, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6725, 236779, 1554, 8027, 1083, 236743, 236770, 236819, 236810, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 117468, 236779, 52107, 236779, 5101, 1083, 236743, 236828, 236832, 236825, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 1263, 623, 27617, 1083, 623, 38556, 827, 623, 3267, 522, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236778, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 659, 9265, 236789, 236751, 568, 5352, 7627, 236768, 6524, 4867, 9732, 699, 910, 5213, 236770, 236771, 236772, 236855, 22628, 1018, 573, 506, 16347, 1051, 16548, 5142, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 236787, 108, 236772, 5213, 68051, 34607, 66515, 609, 236778, 236770, 236770, 236761, 236825, 236832, 7889, 138, 107, 236772, 5213, 8233, 30521, 66515, 609, 236832, 236778, 236761, 236800, 236825, 7889, 138, 108, 10354, 36520, 607, 98278, 568, 10677, 3692, 236798, 1473, 138, 107, 236909, 106022, 151, 236909, 98278, 568, 236778, 236771, 236778, 236800, 236768, 142, 236909, 9265, 568, 236778, 236771, 236778, 236812, 236768, 141, 236909, 138, 107, 236909, 2819, 33129, 236909, 2819, 33129, 236909, 2819, 33129, 236909, 138, 107, 236909, 5213, 87093, 1018, 146, 236909, 609, 236778, 236828, 236778, 7889, 145, 236909, 609, 236778, 236770, 236770, 236761, 236825, 236832, 7889, 142, 236909, 138, 107, 236909, 5213, 8233, 30521, 1018, 143, 236909, 609, 236832, 236800, 7889, 146, 236909, 609, 236832, 236778, 236761, 236800, 236825, 7889, 143, 236909, 138, 108, 10354, 9533, 76374, 573, 5180, 13768, 236787, 138, 107, 236770, 236761, 5213, 15098, 529, 27194, 66515, 10508, 4699, 205860, 506, 4867, 14889, 529, 56125, 11849, 236764, 607, 9292, 25229, 34957, 609, 236812, 236819, 236800, 7889, 236761, 138, 107, 236778, 236761, 5213, 109048, 2109, 66515, 9265, 236789, 236751, 2657, 7094, 563, 7109, 15779, 531, 98278, 236789, 236751, 9785, 3718, 10471, 236764, 32427, 52726, 1960, 4681, 568, 236744, 236761, 236759, 1126, 9265, 236789, 236751, 3213, 580, 18315, 5368, 7728, 236761, 98278, 236789, 236751, 772, 236772, 27612, 2028, 769, 138, 107, 236800, 236761, 5213, 201026, 529, 73362, 66515, 4257, 14809, 22072, 236764, 36285, 236764, 532, 47663, 735, 21735, 1800, 4699, 236789, 53293, 237028, 236744, 236761, 236759, 1126, 9265, 11279, 15872, 2373, 35319, 3192, 568, 38277, 236772, 14645, 236768, 532, 98278, 236789, 236751, 7214, 516, 161578, 1389, 568, 23681, 6225, 236772, 14645, 779, 1015, 7539, 5934, 657, 1800, 14601, 236761, 138, 108, 9208, 9732, 126226, 506, 5527, 15459, 532, 172059, 529, 14896, 47941, 236764, 837, 735, 188061, 1343, 4185, 10592, 42433, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 106, 107, 105, 2364, 107, 30092, 611, 33205, 9947, 236858, 236751, 7384, 10471, 532, 2657, 7094, 699, 910, 6524, 236743, 236770, 236771, 236772, 236855, 22628, 236881, 564, 236858, 236753, 1133, 531, 1138, 1091, 531, 672, 9960, 236764, 618, 9947, 236858, 236751, 33744, 237028, 74864, 1208, 9902, 9940, 236858, 236751, 10319, 607, 6225, 236772, 20205, 36285, 1133, 16447, 2839, 18516, 568, 236773, 20134, 529, 27194, 82479, 48409, 236751, 506, 5268, 4257, 14809, 7630, 528, 56125, 11849, 236858, 236751, 6429, 7797, 532, 1698, 13862, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 226046, 827, 623, 27083, 236779, 236770, 236771, 236767, 1083, 3714, 193309, 236779, 3704, 236779, 643, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 827, 623, 6725, 236779, 83122, 1083, 236743, 236800, 236819, 236812, 236800, 236778, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 2108, 236779, 27163, 1083, 236743, 236819, 236825, 236819, 236819, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 5600, 1083, 236743, 236810, 236761, 236828, 236825, 236764, 623, 3267, 522, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 23179, 623, 7778, 81011, 1083, 3714, 10696, 236779, 14905, 1083, 3714, 3250, 1083, 623, 63460, 827, 623, 117548, 236779, 25142, 1083, 623, 236778, 236771, 236770, 236770, 23179, 623, 87144, 2839, 236779, 125819, 1083, 3714, 3250, 1083, 623, 236773, 20134, 529, 27194, 827, 623, 74928, 1083, 623, 236770, 236819, 236819, 236810, 236775, 5237, 623, 71703, 236779, 10864, 236779, 62580, 1083, 3714, 61884, 236779, 68382, 1083, 623, 3503, 11675, 15039, 573, 13921, 14510, 827, 623, 45071, 236779, 59649, 236779, 7778, 81011, 1083, 236743, 236770, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 659, 9947, 236789, 236751, 568, 226046, 236768, 6524, 4867, 9732, 699, 910, 5213, 236770, 236771, 236772, 236855, 22628, 1018, 573, 506, 16347, 1051, 16548, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 108, 236772, 5213, 68051, 34607, 66515, 609, 236800, 236819, 236812, 236761, 236800, 236800, 7889, 138, 107, 236772, 5213, 8233, 30521, 66515, 609, 236819, 236832, 236761, 236771, 7889, 138, 108, 10354, 42841, 36520, 568, 236778, 236771, 236778, 236800, 236964, 236778, 236771, 236778, 236812, 57800, 25712, 1473, 138, 107, 236909, 106022, 151, 236909, 98278, 568, 236778, 236771, 236778, 236800, 236768, 142, 236909, 9265, 568, 236778, 236771, 236778, 236812, 236768, 141, 236909, 9947, 568, 236778, 236771, 236778, 236800, 236768, 145, 236909, 138, 107, 236909, 2819, 33129, 236909, 2819, 33129, 236909, 2819, 33129, 236909, 2819, 33129, 236909, 138, 107, 236909, 5213, 87093, 1018, 146, 236909, 609, 236778, 236828, 236778, 7889, 145, 236909, 609, 236778, 236770, 236770, 236761, 236825, 236832, 7889, 142, 236909, 609, 236800, 236819, 236812, 236761, 236800, 236800, 7889, 142, 236909, 138, 107, 236909, 5213, 8233, 30521, 1018, 143, 236909, 609, 236832, 236800, 7889, 146, 236909, 609, 236832, 236778, 236761, 236800, 236825, 7889, 143, 236909, 609, 236819, 236832, 236761, 236771, 7889, 144, 236909, 138, 108, 10354, 9533, 76374, 573, 5180, 13768, 236787, 138, 107, 236770, 236761, 5213, 31319, 236858, 236751, 23737, 831, 66515, 9947, 236858, 236751, 10471, 532, 2657, 7094, 41185, 1800, 98278, 532, 9265, 236764, 41671, 1061, 13671, 1698, 7545, 532, 18481, 236772, 27612, 3877, 236761, 138, 107, 236778, 236761, 5213, 23425, 14809, 36485, 66515, 138, 107, 139, 236772, 5213, 55471, 2839, 18516, 1018, 568, 38277, 236772, 20205, 164110, 529, 27194, 236768, 100638, 9947, 236858, 236751, 4185, 6429, 7797, 236764, 6749, 531, 13921, 3719, 532, 33972, 236761, 138, 107, 139, 236772, 4673, 236858, 236751, 3853, 618, 496, 5213, 2478, 11675, 15039, 1018, 573, 13921, 14510, 22136, 506, 6730, 7630, 529, 4257, 14809, 10592, 528, 14896, 6429, 21896, 236761, 138, 107, 236800, 236761, 5213, 111534, 17936, 66515, 9947, 236858, 236751, 50932, 580, 4257, 14809, 36285, 532, 11675, 12230, 104811, 506, 4128, 236858, 236751, 14413, 3853, 618, 1800, 496, 10592, 18922, 532, 17934, 58921, 573, 56125, 11849, 236761, 138, 108, 9208, 9732, 532, 10319, 8698, 31650, 822, 22323, 580, 1217, 4257, 14809, 13728, 15184, 8330, 13862, 236764, 17934, 29412, 236764, 532, 4185, 2436, 10534, 528, 506, 14896, 18481, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 170935, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1076, 872, 496, 7283, 1458, 573, 1041, 14628, 4762, 600, 740, 11269, 17866, 5602, 10396, 1534, 5422, 532, 14361, 236761, 3551, 4762, 6757, 496, 2606, 529, 45174, 1003, 18241, 15830, 236764, 532, 564, 1461, 531, 5330, 1908, 236772, 27832, 19270, 740, 974, 11459, 1938, 236761, 3199, 611, 2619, 496, 34125, 9299, 31466, 1699, 24985, 236779, 1110, 600, 37574, 30568, 1816, 10396, 236764, 76886, 506, 5192, 236764, 55544, 625, 531, 506, 3328, 5192, 568, 624, 14638, 42759, 779, 532, 25716, 506, 9553, 573, 1500, 236772, 1048, 236881, 669, 2864, 1374, 3204, 31324, 4323, 9299, 2307, 532, 994, 31044, 10434, 13630, 236761, 5715, 236789, 236751, 1041, 4068, 1594, 1624, 236787, 17866, 233008, 236774, 14437, 18716, 42087, 569, 87433, 165986, 696, 2862, 7462, 531, 5422, 236764, 1657, 506, 3072, 236764, 1299, 5039, 506, 28700, 3618, 531, 1041, 16326, 236789, 236751, 31740, 1548, 236761, 3792, 786, 1281, 1144, 6137, 611, 1202, 531, 1386, 672, 981, 236761, 106, 107, 105, 4368, 107, 2021, 4144, 822, 7283, 1458, 236764, 564, 236789, 859, 1161, 506, 2165, 159184, 236779, 1110, 236929, 5904, 531, 17866, 10396, 1534, 5422, 532, 14361, 236761, 1701, 506, 1594, 1624, 236764, 564, 236789, 859, 1202, 506, 2269, 6137, 236787, 108, 236770, 236761, 5213, 236781, 236779, 117129, 3677, 236779, 2478, 66515, 5180, 9299, 2307, 573, 31324, 236761, 107, 236778, 236761, 5213, 236781, 236779, 117129, 3677, 236779, 6163, 66515, 669, 8610, 529, 506, 9299, 31466, 568, 236744, 236761, 236759, 1126, 2165, 20905, 236772, 3677, 236761, 236758, 236761, 117129, 3677, 236761, 854, 59395, 107, 236800, 236761, 5213, 1005, 66515, 669, 3618, 531, 17866, 236787, 138, 107, 139, 236929, 236775, 237665, 236774, 14437, 18716, 42087, 569, 87433, 165986, 696, 2862, 7462, 21233, 107, 236812, 236761, 5213, 511, 236779, 2543, 66515, 17690, 5192, 3393, 20442, 507, 236929, 573, 14361, 769, 107, 236810, 236761, 5213, 1071, 66515, 23170, 5192, 3393, 20442, 501, 236929, 573, 5422, 769, 108, 7243, 108, 6259, 13959, 236764, 506, 3072, 795, 994, 506, 28700, 1816, 568, 236744, 236761, 236759, 1126, 211661, 6294, 611, 735, 19860, 8103, 40470, 528, 2862, 7462, 59395, 1599, 740, 1299, 4448, 672, 1354, 531, 822, 16326, 236789, 236751, 31740, 24473, 653, 4323, 496, 7732, 12434, 568, 2217, 8008, 684, 1873, 6436, 769, 236743, 108, 93000, 506, 9299, 28150, 236764, 532, 564, 236789, 859, 13707, 506, 13959, 2864, 236761, 106, 107, 105, 2364, 107, 8291, 659, 506, 6137, 236787, 1123, 236779, 117129, 3677, 236779, 2478, 236787, 2165, 28180, 236770, 236778, 236800, 56660, 236929, 1123, 236779, 117129, 3677, 236779, 6163, 236787, 2165, 20905, 236772, 3677, 236761, 78640, 18220, 236761, 854, 236929, 1816, 236787, 2165, 237665, 236774, 14437, 18716, 42087, 569, 87433, 165986, 696, 2862, 236881, 236929, 563, 236779, 2543, 236787, 2165, 507, 236929, 531, 236787, 2165, 501, 236929, 3792, 786, 1281, 768, 1239, 659, 7271, 236761, 9920, 13959, 4146, 236764, 564, 1461, 531, 1594, 19346, 12969, 528, 496, 7732, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132773, 236779, 1005, 1083, 623, 6294, 611, 735, 19860, 8103, 40470, 528, 2862, 32109, 623, 4818, 1083, 623, 10934, 827, 623, 6265, 236779, 19859, 1083, 623, 507, 827, 623, 5654, 236779, 19859, 1083, 623, 501, 25938, 106, 107, 105, 4368, 107, 818, 13959, 691, 6595, 236888, 669, 28700, 1816, 563, 236787, 138, 107, 1018, 236775, 6294, 611, 735, 19860, 8103, 40470, 528, 2862, 7462, 1018, 138, 108, 10354, 12067, 50228, 236787, 138, 107, 236770, 236761, 5213, 62168, 87972, 66515, 5180, 1458, 795, 1202, 531, 2212, 506, 9553, 568, 236744, 236761, 236759, 1126, 3738, 1816, 236764, 28700, 1816, 236764, 99885, 236768, 573, 1500, 236772, 1048, 236761, 3153, 236764, 506, 1873, 2165, 159184, 236779, 1110, 236929, 5904, 1677, 711, 3204, 19346, 18544, 236761, 2282, 7162, 236764, 611, 236858, 859, 1202, 531, 236787, 138, 107, 139, 236772, 104574, 1298, 531, 4762, 25716, 568, 236744, 236761, 236759, 1126, 7948, 236764, 2129, 236764, 653, 8398, 2509, 769, 138, 107, 139, 236772, 39525, 4767, 6137, 1133, 2165, 8494, 236779, 547, 236929, 653, 2165, 2364, 236779, 547, 236929, 573, 16074, 236761, 138, 108, 236778, 236761, 5213, 116342, 43645, 66515, 669, 1873, 5904, 1677, 711, 1894, 15656, 10396, 531, 31740, 5467, 236761, 1599, 236858, 236753, 1202, 496, 7732, 31740, 7449, 9299, 12434, 573, 672, 2918, 236761, 138, 108, 38786, 611, 1133, 531, 236787, 138, 107, 236772, 5803, 506, 14416, 13959, 568, 27832, 531, 14361, 20625, 138, 107, 236772, 101685, 607, 22743, 19346, 18544, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 59638, 506, 1458, 236888, 106, 107, 105, 2364, 107, 236777, 1461, 531, 4144, 19346, 18544, 1171, 236761, 1701, 6310, 236764, 1161, 496, 2263, 103348, 7948, 2129, 7489, 2165, 32154, 236779, 49396, 236761, 3864, 236929, 528, 506, 34125, 850, 236789, 236751, 5989, 12229, 236761, 4140, 496, 2633, 607, 1239, 11312, 236787, 753, 2165, 24422, 236929, 568, 19361, 236768, 753, 2165, 8494, 236779, 547, 236929, 568, 27788, 2483, 236764, 6282, 236772, 19631, 768, 9724, 236768, 753, 2165, 6265, 236779, 1005, 236929, 753, 2165, 132773, 236779, 1005, 236929, 753, 2165, 6265, 236779, 10694, 236929, 753, 2165, 5654, 236779, 10694, 236929, 1701, 16074, 236764, 8729, 496, 861, 2165, 8494, 236779, 547, 236929, 573, 1546, 4709, 5602, 9553, 236761, 12213, 506, 28700, 1816, 699, 506, 3527, 2918, 528, 672, 2212, 7234, 236761, 2900, 4767, 6137, 776, 611, 1202, 531, 17114, 506, 24985, 236779, 1110, 5904, 573, 672, 19346, 8688, 236881, 106, 107, 105, 4368, 107, 2021, 4144, 19346, 607, 506, 1873, 2165, 159184, 236779, 1110, 236929, 5904, 236764, 5213, 1904, 4767, 6137, 659, 3149, 1018, 1547, 506, 5904, 3016, 4728, 784, 506, 4127, 1262, 573, 19346, 568, 236744, 236761, 236759, 1126, 2165, 1005, 8347, 2165, 132773, 236779, 1005, 8347, 2165, 511, 236779, 2543, 8347, 2165, 1071, 59395, 3153, 236764, 506, 5904, 4850, 1677, 711, 3204, 7948, 12434, 653, 19346, 18544, 528, 1061, 1873, 1702, 236761, 2282, 9369, 19346, 236764, 506, 34125, 850, 236858, 236751, 44975, 3393, 1093, 1202, 531, 577, 12269, 531, 236787, 138, 108, 236770, 236761, 5213, 160373, 8729, 496, 2165, 8494, 236779, 547, 236929, 1018, 568, 27788, 236768, 573, 1546, 2864, 236761, 138, 107, 236778, 236761, 5213, 6974, 531, 506, 2165, 32154, 236779, 49396, 236761, 3864, 236929, 103348, 7948, 1018, 1699, 506, 13603, 611, 5221, 236761, 138, 108, 10354, 2900, 1599, 19704, 531, 3574, 12067, 236787, 138, 107, 10081, 506, 5904, 1677, 711, 1894, 1982, 7948, 9831, 236764, 611, 1093, 1202, 531, 236787, 138, 107, 236772, 5213, 57874, 496, 2401, 34125, 850, 1018, 568, 71681, 672, 5904, 236858, 236751, 11104, 236768, 600, 236787, 138, 107, 138, 236772, 151549, 506, 1638, 6137, 20442, 236781, 236779, 117129, 3677, 236779, 2478, 8347, 2165, 1005, 8347, 4044, 7476, 138, 107, 138, 236772, 131673, 13959, 4323, 506, 6330, 9299, 236761, 138, 107, 138, 236772, 140153, 2536, 531, 2165, 32154, 236779, 49396, 236761, 3864, 236929, 1699, 506, 9155, 13603, 236761, 138, 108, 38786, 611, 1133, 786, 531, 12262, 496, 17856, 8948, 573, 672, 2401, 34125, 850, 236764, 653, 1093, 611, 5278, 531, 7162, 607, 7257, 506, 14416, 13959, 1171, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1076, 872, 496, 7283, 1458, 573, 1041, 14628, 4762, 600, 740, 11269, 17866, 5602, 10396, 1534, 5422, 532, 14361, 236761, 3551, 4762, 6757, 496, 2606, 529, 45174, 1003, 18241, 15830, 236764, 532, 564, 1461, 531, 5330, 1908, 236772, 27832, 19270, 740, 974, 11459, 1938, 236761, 3199, 611, 2619, 496, 34125, 9299, 31466, 1699, 24985, 236779, 1110, 600, 37574, 30568, 1816, 10396, 236764, 76886, 506, 5192, 236764, 55544, 625, 531, 506, 3328, 5192, 568, 624, 14638, 42759, 779, 532, 25716, 506, 9553, 573, 1500, 236772, 1048, 236881, 669, 2864, 1374, 3204, 31324, 4323, 9299, 2307, 532, 994, 31044, 10434, 13630, 236761, 5715, 236789, 236751, 1041, 4068, 1594, 1624, 236787, 17866, 233008, 236774, 14437, 18716, 42087, 569, 87433, 165986, 696, 2862, 7462, 531, 5422, 236764, 1657, 506, 3072, 236764, 1299, 5039, 506, 28700, 3618, 531, 1041, 16326, 236789, 236751, 31740, 1548, 236761, 3792, 786, 1281, 1144, 6137, 611, 1202, 531, 1386, 672, 981, 236761, 106, 107, 105, 4368, 107, 2021, 4144, 822, 7283, 1458, 236764, 564, 236789, 859, 1161, 506, 2165, 159184, 236779, 1110, 236929, 5904, 531, 17866, 10396, 1534, 5422, 532, 14361, 236761, 1701, 506, 1594, 1624, 236764, 564, 236789, 859, 1202, 506, 2269, 6137, 236787, 108, 236770, 236761, 5213, 236781, 236779, 117129, 3677, 236779, 2478, 66515, 5180, 9299, 2307, 573, 31324, 236761, 107, 236778, 236761, 5213, 236781, 236779, 117129, 3677, 236779, 6163, 66515, 669, 8610, 529, 506, 9299, 31466, 568, 236744, 236761, 236759, 1126, 2165, 20905, 236772, 3677, 236761, 236758, 236761, 117129, 3677, 236761, 854, 59395, 107, 236800, 236761, 5213, 1005, 66515, 669, 3618, 531, 17866, 236787, 138, 107, 139, 236929, 236775, 237665, 236774, 14437, 18716, 42087, 569, 87433, 165986, 696, 2862, 7462, 21233, 107, 236812, 236761, 5213, 511, 236779, 2543, 66515, 17690, 5192, 3393, 20442, 507, 236929, 573, 14361, 769, 107, 236810, 236761, 5213, 1071, 66515, 23170, 5192, 3393, 20442, 501, 236929, 573, 5422, 769, 108, 7243, 108, 6259, 13959, 236764, 506, 3072, 795, 994, 506, 28700, 1816, 568, 236744, 236761, 236759, 1126, 211661, 6294, 611, 735, 19860, 8103, 40470, 528, 2862, 7462, 59395, 1599, 740, 1299, 4448, 672, 1354, 531, 822, 16326, 236789, 236751, 31740, 24473, 653, 4323, 496, 7732, 12434, 568, 2217, 8008, 684, 1873, 6436, 769, 236743, 108, 93000, 506, 9299, 28150, 236764, 532, 564, 236789, 859, 13707, 506, 13959, 2864, 236761, 106, 107, 105, 2364, 107, 8291, 659, 506, 6137, 236787, 1123, 236779, 117129, 3677, 236779, 2478, 236787, 2165, 28180, 236770, 236778, 236800, 56660, 236929, 1123, 236779, 117129, 3677, 236779, 6163, 236787, 2165, 20905, 236772, 3677, 236761, 78640, 18220, 236761, 854, 236929, 1816, 236787, 2165, 237665, 236774, 14437, 18716, 42087, 569, 87433, 165986, 696, 2862, 236881, 236929, 563, 236779, 2543, 236787, 2165, 507, 236929, 531, 236787, 2165, 501, 236929, 3792, 786, 1281, 768, 1239, 659, 7271, 236761, 9920, 13959, 4146, 236764, 564, 1461, 531, 1594, 19346, 12969, 528, 496, 7732, 2918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132773, 236779, 1005, 1083, 623, 6294, 611, 735, 19860, 8103, 40470, 528, 2862, 32109, 623, 4818, 1083, 623, 10934, 827, 623, 6265, 236779, 19859, 1083, 623, 507, 827, 623, 5654, 236779, 19859, 1083, 623, 501, 25938, 106, 107, 105, 4368, 107, 818, 13959, 691, 6595, 236888, 669, 28700, 1816, 563, 236787, 138, 107, 1018, 236775, 6294, 611, 735, 19860, 8103, 40470, 528, 2862, 7462, 1018, 138, 108, 10354, 12067, 50228, 236787, 138, 107, 236770, 236761, 5213, 62168, 87972, 66515, 5180, 1458, 795, 1202, 531, 2212, 506, 9553, 568, 236744, 236761, 236759, 1126, 3738, 1816, 236764, 28700, 1816, 236764, 99885, 236768, 573, 1500, 236772, 1048, 236761, 3153, 236764, 506, 1873, 2165, 159184, 236779, 1110, 236929, 5904, 1677, 711, 3204, 19346, 18544, 236761, 2282, 7162, 236764, 611, 236858, 859, 1202, 531, 236787, 138, 107, 139, 236772, 104574, 1298, 531, 4762, 25716, 568, 236744, 236761, 236759, 1126, 7948, 236764, 2129, 236764, 653, 8398, 2509, 769, 138, 107, 139, 236772, 39525, 4767, 6137, 1133, 2165, 8494, 236779, 547, 236929, 653, 2165, 2364, 236779, 547, 236929, 573, 16074, 236761, 138, 108, 236778, 236761, 5213, 116342, 43645, 66515, 669, 1873, 5904, 1677, 711, 1894, 15656, 10396, 531, 31740, 5467, 236761, 1599, 236858, 236753, 1202, 496, 7732, 31740, 7449, 9299, 12434, 573, 672, 2918, 236761, 138, 108, 38786, 611, 1133, 531, 236787, 138, 107, 236772, 5803, 506, 14416, 13959, 568, 27832, 531, 14361, 20625, 138, 107, 236772, 101685, 607, 22743, 19346, 18544, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 59638, 506, 1458, 236888, 106, 107, 105, 2364, 107, 236777, 1461, 531, 4144, 19346, 18544, 1171, 236761, 1701, 6310, 236764, 1161, 496, 2263, 103348, 7948, 2129, 7489, 2165, 32154, 236779, 49396, 236761, 3864, 236929, 528, 506, 34125, 850, 236789, 236751, 5989, 12229, 236761, 4140, 496, 2633, 607, 1239, 11312, 236787, 753, 2165, 24422, 236929, 568, 19361, 236768, 753, 2165, 8494, 236779, 547, 236929, 568, 27788, 2483, 236764, 6282, 236772, 19631, 768, 9724, 236768, 753, 2165, 6265, 236779, 1005, 236929, 753, 2165, 132773, 236779, 1005, 236929, 753, 2165, 6265, 236779, 10694, 236929, 753, 2165, 5654, 236779, 10694, 236929, 1701, 16074, 236764, 8729, 496, 861, 2165, 8494, 236779, 547, 236929, 573, 1546, 4709, 5602, 9553, 236761, 12213, 506, 28700, 1816, 699, 506, 3527, 2918, 528, 672, 2212, 7234, 236761, 2900, 4767, 6137, 776, 611, 1202, 531, 17114, 506, 24985, 236779, 1110, 5904, 573, 672, 19346, 8688, 236881, 106, 107, 105, 4368, 107, 2021, 4144, 19346, 607, 506, 1873, 2165, 159184, 236779, 1110, 236929, 5904, 236764, 5213, 1904, 4767, 6137, 659, 3149, 1018, 1547, 506, 5904, 3016, 4728, 784, 506, 4127, 1262, 573, 19346, 568, 236744, 236761, 236759, 1126, 2165, 1005, 8347, 2165, 132773, 236779, 1005, 8347, 2165, 511, 236779, 2543, 8347, 2165, 1071, 59395, 3153, 236764, 506, 5904, 4850, 1677, 711, 3204, 7948, 12434, 653, 19346, 18544, 528, 1061, 1873, 1702, 236761, 2282, 9369, 19346, 236764, 506, 34125, 850, 236858, 236751, 44975, 3393, 1093, 1202, 531, 577, 12269, 531, 236787, 138, 108, 236770, 236761, 5213, 160373, 8729, 496, 2165, 8494, 236779, 547, 236929, 1018, 568, 27788, 236768, 573, 1546, 2864, 236761, 138, 107, 236778, 236761, 5213, 6974, 531, 506, 2165, 32154, 236779, 49396, 236761, 3864, 236929, 103348, 7948, 1018, 1699, 506, 13603, 611, 5221, 236761, 138, 108, 10354, 2900, 1599, 19704, 531, 3574, 12067, 236787, 138, 107, 10081, 506, 5904, 1677, 711, 1894, 1982, 7948, 9831, 236764, 611, 1093, 1202, 531, 236787, 138, 107, 236772, 5213, 57874, 496, 2401, 34125, 850, 1018, 568, 71681, 672, 5904, 236858, 236751, 11104, 236768, 600, 236787, 138, 107, 138, 236772, 151549, 506, 1638, 6137, 20442, 236781, 236779, 117129, 3677, 236779, 2478, 8347, 2165, 1005, 8347, 4044, 7476, 138, 107, 138, 236772, 131673, 13959, 4323, 506, 6330, 9299, 236761, 138, 107, 138, 236772, 140153, 2536, 531, 2165, 32154, 236779, 49396, 236761, 3864, 236929, 1699, 506, 9155, 13603, 236761, 138, 108, 38786, 611, 1133, 786, 531, 12262, 496, 17856, 8948, 573, 672, 2401, 34125, 850, 236764, 653, 1093, 611, 5278, 531, 7162, 607, 7257, 506, 14416, 13959, 1171, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 3517, 506, 2625, 19286, 1444, 4585, 11109, 672, 9735, 236761, 28344, 611, 1601, 786, 1586, 12660, 16746, 14942, 532, 2426, 1144, 1873, 52923, 653, 4749, 659, 13922, 993, 236881, 106, 107, 105, 4368, 107, 2021, 6361, 611, 607, 8159, 12660, 3541, 506, 2625, 19286, 1444, 4585, 11109, 236764, 564, 1202, 531, 1281, 506, 1722, 529, 12660, 611, 236789, 500, 3182, 573, 568, 236744, 236761, 236759, 1126, 7438, 236764, 1932, 236764, 7363, 236764, 4044, 7476, 28344, 611, 5091, 20193, 822, 24104, 573, 12660, 1722, 236881, 236743, 108, 76171, 1873, 52923, 653, 4749, 657, 506, 14871, 236764, 564, 1537, 236858, 236745, 735, 2802, 531, 600, 1938, 1343, 506, 2487, 6436, 236761, 564, 5840, 16329, 506, 14871, 236858, 236751, 5125, 4456, 653, 57416, 1091, 5467, 573, 506, 6524, 4889, 580, 52923, 532, 4749, 236761, 3792, 786, 1281, 3622, 611, 236858, 560, 7659, 506, 12660, 1722, 236764, 532, 564, 236858, 859, 1601, 1586, 2487, 16746, 236888, 106, 107, 105, 2364, 107, 818, 2625, 19286, 1444, 4585, 11109, 563, 5628, 657, 236743, 236770, 236771, 236771, 236771, 646, 236743, 236828, 594, 842, 236764, 2625, 19286, 1444, 236764, 55927, 236743, 236810, 236800, 236771, 236828, 236770, 236761, 564, 236858, 236753, 5278, 7363, 12660, 768, 2487, 236764, 653, 496, 1237, 2606, 2351, 496, 2321, 11802, 237028, 63823, 28149, 236764, 1164, 13139, 532, 17075, 573, 496, 9735, 3517, 236761, 2301, 1202, 573, 7438, 16746, 236764, 840, 4658, 3107, 531, 506, 14871, 16825, 1093, 577, 4011, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 67299, 236779, 54674, 1083, 78493, 19720, 236779, 547, 1083, 623, 1393, 236772, 236770, 236778, 236800, 236812, 827, 623, 7720, 1083, 623, 236770, 236771, 236771, 236771, 646, 236743, 236828, 594, 842, 236764, 2625, 19286, 1444, 236764, 55927, 827, 623, 56905, 1083, 623, 18700, 827, 623, 2289, 236779, 17846, 1083, 623, 236778, 3885, 827, 623, 44163, 1083, 623, 6796, 23179, 3714, 19720, 236779, 547, 1083, 623, 1393, 236772, 236770, 236778, 236800, 236810, 827, 623, 7720, 1083, 623, 236828, 236771, 236771, 646, 236743, 236828, 594, 842, 236764, 2625, 19286, 1444, 236764, 55927, 827, 623, 56905, 1083, 623, 18700, 827, 623, 2289, 236779, 17846, 1083, 623, 236770, 6468, 827, 623, 44163, 1083, 6610, 236778, 810, 6468, 23179, 3714, 19720, 236779, 547, 1083, 623, 1393, 236772, 236770, 236778, 236800, 236825, 827, 623, 7720, 1083, 623, 236819, 236771, 236771, 646, 236743, 236828, 594, 842, 236764, 2625, 19286, 1444, 236764, 55927, 827, 623, 56905, 1083, 623, 21028, 827, 623, 2289, 236779, 17846, 1083, 623, 236800, 3885, 827, 623, 44163, 1083, 6610, 236770, 810, 6468, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 12660, 3835, 3541, 506, 2625, 19286, 1444, 4585, 11109, 568, 236770, 236771, 236771, 236771, 646, 236743, 236828, 594, 842, 236764, 2625, 19286, 1444, 236764, 55927, 1473, 108, 236770, 236761, 5213, 40703, 24495, 4439, 236772, 236770, 236778, 236800, 236812, 1018, 138, 107, 139, 236772, 5213, 6375, 66515, 181141, 657, 506, 14871, 3421, 568, 236770, 236771, 236771, 236771, 646, 236743, 236828, 594, 842, 236768, 138, 107, 139, 236772, 5213, 70679, 66515, 9617, 138, 107, 139, 236772, 5213, 2866, 46203, 66515, 236743, 236778, 3885, 138, 107, 139, 236772, 5213, 17043, 573, 66515, 14063, 20503, 568, 236744, 236761, 236759, 1126, 236743, 236770, 236964, 236778, 3885, 769, 26079, 573, 496, 3823, 4721, 768, 611, 1537, 236858, 236745, 1202, 531, 4196, 4890, 236761, 108, 236778, 236761, 5213, 40703, 24495, 4439, 236772, 236770, 236778, 236800, 236810, 1018, 138, 107, 139, 236772, 5213, 6375, 66515, 236743, 236828, 236771, 236771, 646, 236743, 236828, 594, 842, 75720, 236778, 11802, 699, 14871, 236768, 138, 107, 139, 236772, 5213, 70679, 66515, 609, 236778, 236786, 13807, 138, 107, 139, 236772, 5213, 2866, 46203, 66515, 236743, 236770, 6468, 138, 107, 139, 236772, 5213, 17043, 573, 66515, 16707, 8652, 20627, 568, 236744, 236761, 236759, 1126, 30264, 1135, 236786, 147098, 872, 769, 22652, 7436, 573, 4890, 20503, 2779, 531, 1494, 2157, 810, 6468, 236761, 108, 236800, 236761, 5213, 40703, 24495, 4439, 236772, 236770, 236778, 236800, 236825, 1018, 138, 107, 139, 236772, 5213, 6375, 66515, 236743, 236819, 236771, 236771, 646, 236743, 236828, 594, 842, 75720, 236770, 3355, 699, 14871, 236768, 138, 107, 139, 236772, 5213, 70679, 66515, 609, 236770, 236786, 13807, 138, 107, 139, 236772, 5213, 2866, 46203, 66515, 236743, 236800, 3885, 138, 107, 139, 236772, 5213, 17043, 573, 66515, 102896, 20503, 568, 1048, 531, 236743, 236800, 3885, 769, 7660, 17075, 5086, 573, 9239, 26432, 236761, 108, 1018, 2542, 1873, 52923, 236786, 18582, 66515, 138, 107, 236777, 1537, 236858, 236745, 735, 2802, 531, 1759, 236772, 2289, 14871, 2460, 1262, 4323, 2487, 6436, 236761, 2282, 2426, 1873, 52923, 653, 2803, 4749, 657, 506, 2625, 19286, 1444, 4585, 11109, 236787, 138, 107, 236772, 26922, 910, 5125, 4456, 26882, 12053, 19286, 1444, 661, 82407, 236761, 2187, 5457, 2574, 1411, 2769, 236761, 12053, 19286, 1444, 661, 82407, 236761, 2187, 1223, 138, 107, 236772, 9861, 1091, 5467, 657, 568, 236819, 236778, 236771, 236768, 236743, 236812, 236810, 236832, 236772, 236810, 236770, 236771, 236771, 138, 107, 236772, 7179, 910, 2777, 4009, 7704, 568, 236744, 236761, 236759, 1126, 8221, 236786, 42809, 236768, 573, 12496, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 4658, 1663, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 3517, 506, 2625, 19286, 1444, 4585, 11109, 672, 9735, 236761, 28344, 611, 1601, 786, 1586, 12660, 16746, 14942, 532, 2426, 1144, 1873, 52923, 653, 4749, 659, 13922, 993, 236881, 106, 107, 105, 4368, 107, 2021, 6361, 611, 607, 8159, 12660, 3541, 506, 2625, 19286, 1444, 4585, 11109, 236764, 564, 1202, 531, 1281, 506, 1722, 529, 12660, 611, 236789, 500, 3182, 573, 568, 236744, 236761, 236759, 1126, 7438, 236764, 1932, 236764, 7363, 236764, 4044, 7476, 28344, 611, 5091, 20193, 822, 24104, 573, 12660, 1722, 236881, 236743, 108, 76171, 1873, 52923, 653, 4749, 657, 506, 14871, 236764, 564, 1537, 236858, 236745, 735, 2802, 531, 600, 1938, 1343, 506, 2487, 6436, 236761, 564, 5840, 16329, 506, 14871, 236858, 236751, 5125, 4456, 653, 57416, 1091, 5467, 573, 506, 6524, 4889, 580, 52923, 532, 4749, 236761, 3792, 786, 1281, 3622, 611, 236858, 560, 7659, 506, 12660, 1722, 236764, 532, 564, 236858, 859, 1601, 1586, 2487, 16746, 236888, 106, 107, 105, 2364, 107, 818, 2625, 19286, 1444, 4585, 11109, 563, 5628, 657, 236743, 236770, 236771, 236771, 236771, 646, 236743, 236828, 594, 842, 236764, 2625, 19286, 1444, 236764, 55927, 236743, 236810, 236800, 236771, 236828, 236770, 236761, 564, 236858, 236753, 5278, 7363, 12660, 768, 2487, 236764, 653, 496, 1237, 2606, 2351, 496, 2321, 11802, 237028, 63823, 28149, 236764, 1164, 13139, 532, 17075, 573, 496, 9735, 3517, 236761, 2301, 1202, 573, 7438, 16746, 236764, 840, 4658, 3107, 531, 506, 14871, 16825, 1093, 577, 4011, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 67299, 236779, 54674, 1083, 78493, 19720, 236779, 547, 1083, 623, 1393, 236772, 236770, 236778, 236800, 236812, 827, 623, 7720, 1083, 623, 236770, 236771, 236771, 236771, 646, 236743, 236828, 594, 842, 236764, 2625, 19286, 1444, 236764, 55927, 827, 623, 56905, 1083, 623, 18700, 827, 623, 2289, 236779, 17846, 1083, 623, 236778, 3885, 827, 623, 44163, 1083, 623, 6796, 23179, 3714, 19720, 236779, 547, 1083, 623, 1393, 236772, 236770, 236778, 236800, 236810, 827, 623, 7720, 1083, 623, 236828, 236771, 236771, 646, 236743, 236828, 594, 842, 236764, 2625, 19286, 1444, 236764, 55927, 827, 623, 56905, 1083, 623, 18700, 827, 623, 2289, 236779, 17846, 1083, 623, 236770, 6468, 827, 623, 44163, 1083, 6610, 236778, 810, 6468, 23179, 3714, 19720, 236779, 547, 1083, 623, 1393, 236772, 236770, 236778, 236800, 236825, 827, 623, 7720, 1083, 623, 236819, 236771, 236771, 646, 236743, 236828, 594, 842, 236764, 2625, 19286, 1444, 236764, 55927, 827, 623, 56905, 1083, 623, 21028, 827, 623, 2289, 236779, 17846, 1083, 623, 236800, 3885, 827, 623, 44163, 1083, 6610, 236770, 810, 6468, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 12660, 3835, 3541, 506, 2625, 19286, 1444, 4585, 11109, 568, 236770, 236771, 236771, 236771, 646, 236743, 236828, 594, 842, 236764, 2625, 19286, 1444, 236764, 55927, 1473, 108, 236770, 236761, 5213, 40703, 24495, 4439, 236772, 236770, 236778, 236800, 236812, 1018, 138, 107, 139, 236772, 5213, 6375, 66515, 181141, 657, 506, 14871, 3421, 568, 236770, 236771, 236771, 236771, 646, 236743, 236828, 594, 842, 236768, 138, 107, 139, 236772, 5213, 70679, 66515, 9617, 138, 107, 139, 236772, 5213, 2866, 46203, 66515, 236743, 236778, 3885, 138, 107, 139, 236772, 5213, 17043, 573, 66515, 14063, 20503, 568, 236744, 236761, 236759, 1126, 236743, 236770, 236964, 236778, 3885, 769, 26079, 573, 496, 3823, 4721, 768, 611, 1537, 236858, 236745, 1202, 531, 4196, 4890, 236761, 108, 236778, 236761, 5213, 40703, 24495, 4439, 236772, 236770, 236778, 236800, 236810, 1018, 138, 107, 139, 236772, 5213, 6375, 66515, 236743, 236828, 236771, 236771, 646, 236743, 236828, 594, 842, 75720, 236778, 11802, 699, 14871, 236768, 138, 107, 139, 236772, 5213, 70679, 66515, 609, 236778, 236786, 13807, 138, 107, 139, 236772, 5213, 2866, 46203, 66515, 236743, 236770, 6468, 138, 107, 139, 236772, 5213, 17043, 573, 66515, 16707, 8652, 20627, 568, 236744, 236761, 236759, 1126, 30264, 1135, 236786, 147098, 872, 769, 22652, 7436, 573, 4890, 20503, 2779, 531, 1494, 2157, 810, 6468, 236761, 108, 236800, 236761, 5213, 40703, 24495, 4439, 236772, 236770, 236778, 236800, 236825, 1018, 138, 107, 139, 236772, 5213, 6375, 66515, 236743, 236819, 236771, 236771, 646, 236743, 236828, 594, 842, 75720, 236770, 3355, 699, 14871, 236768, 138, 107, 139, 236772, 5213, 70679, 66515, 609, 236770, 236786, 13807, 138, 107, 139, 236772, 5213, 2866, 46203, 66515, 236743, 236800, 3885, 138, 107, 139, 236772, 5213, 17043, 573, 66515, 102896, 20503, 568, 1048, 531, 236743, 236800, 3885, 769, 7660, 17075, 5086, 573, 9239, 26432, 236761, 108, 1018, 2542, 1873, 52923, 236786, 18582, 66515, 138, 107, 236777, 1537, 236858, 236745, 735, 2802, 531, 1759, 236772, 2289, 14871, 2460, 1262, 4323, 2487, 6436, 236761, 2282, 2426, 1873, 52923, 653, 2803, 4749, 657, 506, 2625, 19286, 1444, 4585, 11109, 236787, 138, 107, 236772, 26922, 910, 5125, 4456, 26882, 12053, 19286, 1444, 661, 82407, 236761, 2187, 5457, 2574, 1411, 2769, 236761, 12053, 19286, 1444, 661, 82407, 236761, 2187, 1223, 138, 107, 236772, 9861, 1091, 5467, 657, 568, 236819, 236778, 236771, 236768, 236743, 236812, 236810, 236832, 236772, 236810, 236770, 236771, 236771, 138, 107, 236772, 7179, 910, 2777, 4009, 7704, 568, 236744, 236761, 236759, 1126, 8221, 236786, 42809, 236768, 573, 12496, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 4658, 1663, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 9697, 573, 1041, 861, 100839, 1948, 532, 1202, 1601, 32187, 3724, 8968, 236761, 28344, 611, 2426, 506, 27078, 529, 1239, 4803, 8221, 1868, 51201, 236881, 669, 8968, 659, 236787, 756, 26462, 506, 861, 11690, 1441, 2433, 236888, 18982, 563, 7646, 236761, 3153, 236764, 506, 7266, 236772, 2865, 1657, 563, 32585, 236761, 21284, 8835, 919, 4749, 768, 39252, 691, 54724, 236761, 17608, 872, 506, 1822, 981, 37894, 564, 1461, 531, 1281, 768, 506, 6782, 15737, 563, 4414, 532, 768, 1027, 4342, 1975, 855, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30558, 1083, 236743, 236771, 236761, 236812, 236770, 236778, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236770, 236819, 236828, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236800, 236819, 236764, 623, 104835, 1083, 236743, 236771, 236761, 236825, 236778, 236812, 236764, 623, 28263, 1083, 3714, 78226, 236779, 66387, 1083, 623, 30558, 827, 623, 2478, 236779, 30558, 236779, 11116, 1083, 11058, 21867, 506, 861, 11690, 1441, 2433, 827, 623, 35873, 563, 7646, 827, 623, 27611, 872, 506, 1822, 981, 14255, 623, 2478, 236779, 27851, 236779, 11116, 1083, 11058, 8658, 236772, 2865, 1657, 563, 32585, 827, 623, 194473, 691, 54724, 14255, 623, 85038, 847, 1083, 11058, 60965, 7266, 236772, 2865, 1657, 6261, 827, 623, 223480, 2460, 39252, 7283, 1935, 1807, 106, 107, 105, 4368, 107, 818, 27078, 3671, 529, 506, 3724, 8968, 3831, 496, 5213, 30558, 6782, 15737, 1018, 607, 496, 10615, 6317, 529, 236743, 236771, 236761, 236825, 236778, 236812, 236761, 5715, 236789, 236751, 496, 25890, 236787, 108, 10354, 9533, 44771, 95677, 236787, 107, 236772, 5213, 112543, 1441, 2433, 1018, 532, 5213, 35873, 3325, 1018, 659, 6112, 43605, 236761, 107, 236772, 45967, 14756, 506, 1948, 6782, 6791, 27611, 872, 506, 1822, 981, 4248, 108, 10354, 164577, 161601, 236787, 107, 236770, 236761, 5213, 18030, 236772, 2865, 1657, 66515, 3314, 15622, 618, 623, 4936, 7082, 2098, 17674, 496, 1202, 573, 2480, 6261, 236761, 107, 236778, 236761, 5213, 212441, 29972, 66515, 45967, 1093, 8835, 919, 4749, 768, 39252, 964, 919, 15502, 236761, 108, 10354, 91330, 236787, 107, 236772, 22745, 1257, 506, 7266, 236772, 2865, 1657, 568, 236744, 236761, 236759, 1126, 1138, 70295, 236764, 4698, 14984, 769, 107, 236772, 31248, 7283, 1003, 2460, 30916, 568, 236744, 236761, 236759, 1126, 5177, 87133, 236764, 82925, 769, 108, 38786, 611, 1133, 531, 18840, 4767, 8968, 653, 3213, 580, 3530, 4106, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 9697, 573, 1041, 861, 100839, 1948, 532, 1202, 1601, 32187, 3724, 8968, 236761, 28344, 611, 2426, 506, 27078, 529, 1239, 4803, 8221, 1868, 51201, 236881, 669, 8968, 659, 236787, 756, 26462, 506, 861, 11690, 1441, 2433, 236888, 18982, 563, 7646, 236761, 3153, 236764, 506, 7266, 236772, 2865, 1657, 563, 32585, 236761, 21284, 8835, 919, 4749, 768, 39252, 691, 54724, 236761, 17608, 872, 506, 1822, 981, 37894, 564, 1461, 531, 1281, 768, 506, 6782, 15737, 563, 4414, 532, 768, 1027, 4342, 1975, 855, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30558, 1083, 236743, 236771, 236761, 236812, 236770, 236778, 236764, 623, 27851, 1083, 236743, 236771, 236761, 236770, 236819, 236828, 236764, 623, 45258, 1083, 236743, 236771, 236761, 236800, 236819, 236764, 623, 104835, 1083, 236743, 236771, 236761, 236825, 236778, 236812, 236764, 623, 28263, 1083, 3714, 78226, 236779, 66387, 1083, 623, 30558, 827, 623, 2478, 236779, 30558, 236779, 11116, 1083, 11058, 21867, 506, 861, 11690, 1441, 2433, 827, 623, 35873, 563, 7646, 827, 623, 27611, 872, 506, 1822, 981, 14255, 623, 2478, 236779, 27851, 236779, 11116, 1083, 11058, 8658, 236772, 2865, 1657, 563, 32585, 827, 623, 194473, 691, 54724, 14255, 623, 85038, 847, 1083, 11058, 60965, 7266, 236772, 2865, 1657, 6261, 827, 623, 223480, 2460, 39252, 7283, 1935, 1807, 106, 107, 105, 4368, 107, 818, 27078, 3671, 529, 506, 3724, 8968, 3831, 496, 5213, 30558, 6782, 15737, 1018, 607, 496, 10615, 6317, 529, 236743, 236771, 236761, 236825, 236778, 236812, 236761, 5715, 236789, 236751, 496, 25890, 236787, 108, 10354, 9533, 44771, 95677, 236787, 107, 236772, 5213, 112543, 1441, 2433, 1018, 532, 5213, 35873, 3325, 1018, 659, 6112, 43605, 236761, 107, 236772, 45967, 14756, 506, 1948, 6782, 6791, 27611, 872, 506, 1822, 981, 4248, 108, 10354, 164577, 161601, 236787, 107, 236770, 236761, 5213, 18030, 236772, 2865, 1657, 66515, 3314, 15622, 618, 623, 4936, 7082, 2098, 17674, 496, 1202, 573, 2480, 6261, 236761, 107, 236778, 236761, 5213, 212441, 29972, 66515, 45967, 1093, 8835, 919, 4749, 768, 39252, 964, 919, 15502, 236761, 108, 10354, 91330, 236787, 107, 236772, 22745, 1257, 506, 7266, 236772, 2865, 1657, 568, 236744, 236761, 236759, 1126, 1138, 70295, 236764, 4698, 14984, 769, 107, 236772, 31248, 7283, 1003, 2460, 30916, 568, 236744, 236761, 236759, 1126, 5177, 87133, 236764, 82925, 769, 108, 38786, 611, 1133, 531, 18840, 4767, 8968, 653, 3213, 580, 3530, 4106, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 41049, 607, 30680, 699, 9115, 9979, 600, 735, 1903, 236772, 68219, 89533, 7974, 236761, 5315, 236764, 564, 1202, 506, 1873, 89533, 90915, 531, 8701, 506, 1903, 236743, 236800, 7974, 236761, 4298, 236764, 1699, 1724, 2434, 5618, 236764, 564, 236789, 236753, 1133, 531, 1586, 855, 837, 9979, 901, 236789, 500, 2721, 528, 236764, 834, 564, 740, 2958, 2263, 4252, 37643, 993, 236761, 3792, 236789, 236751, 1502, 607, 506, 90915, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19458, 1083, 623, 236778, 236771, 236778, 236800, 827, 623, 2244, 1013, 1083, 78493, 3473, 1083, 236743, 236770, 236764, 623, 14992, 1083, 623, 218437, 46566, 827, 623, 11116, 1083, 236743, 236832, 236832, 236764, 623, 76339, 1083, 236743, 236778, 236810, 236764, 623, 74718, 1083, 236743, 236825, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236825, 236778, 23179, 3714, 3473, 1083, 236743, 236778, 236764, 623, 14992, 1083, 623, 67157, 35678, 81924, 827, 623, 11116, 1083, 236743, 236832, 236778, 236764, 623, 76339, 1083, 236743, 236778, 236812, 236764, 623, 74718, 1083, 236743, 236828, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236810, 236828, 23179, 3714, 3473, 1083, 236743, 236800, 236764, 623, 14992, 1083, 623, 72334, 60682, 827, 623, 11116, 1083, 236743, 236825, 236819, 236764, 623, 76339, 1083, 236743, 236778, 236778, 236764, 623, 74718, 1083, 236743, 236770, 236771, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236812, 236810, 23179, 3714, 3473, 1083, 236743, 236812, 236764, 623, 14992, 1083, 623, 236788, 44048, 6314, 52451, 827, 623, 11116, 1083, 236743, 236810, 236828, 236764, 623, 76339, 1083, 236743, 236770, 236828, 236764, 623, 74718, 1083, 236743, 236770, 236812, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236778, 236828, 236775, 165075, 106, 107, 105, 4368, 107, 818, 1903, 236743, 236800, 89533, 7974, 573, 506, 236743, 236778, 236771, 236778, 236800, 3409, 659, 236787, 108, 236770, 236761, 5213, 218437, 46566, 1018, 568, 97267, 734, 236768, 138, 107, 236778, 236761, 5213, 67157, 35678, 81924, 1018, 568, 236796, 632, 29746, 236768, 138, 107, 236800, 236761, 5213, 72334, 60682, 1018, 568, 3258, 54541, 236768, 138, 108, 38786, 611, 1133, 10686, 607, 54909, 4252, 37643, 528, 1239, 9979, 236764, 653, 1374, 564, 2847, 4767, 4889, 1003, 506, 7974, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 41049, 607, 30680, 699, 9115, 9979, 600, 735, 1903, 236772, 68219, 89533, 7974, 236761, 5315, 236764, 564, 1202, 506, 1873, 89533, 90915, 531, 8701, 506, 1903, 236743, 236800, 7974, 236761, 4298, 236764, 1699, 1724, 2434, 5618, 236764, 564, 236789, 236753, 1133, 531, 1586, 855, 837, 9979, 901, 236789, 500, 2721, 528, 236764, 834, 564, 740, 2958, 2263, 4252, 37643, 993, 236761, 3792, 236789, 236751, 1502, 607, 506, 90915, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19458, 1083, 623, 236778, 236771, 236778, 236800, 827, 623, 2244, 1013, 1083, 78493, 3473, 1083, 236743, 236770, 236764, 623, 14992, 1083, 623, 218437, 46566, 827, 623, 11116, 1083, 236743, 236832, 236832, 236764, 623, 76339, 1083, 236743, 236778, 236810, 236764, 623, 74718, 1083, 236743, 236825, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236825, 236778, 23179, 3714, 3473, 1083, 236743, 236778, 236764, 623, 14992, 1083, 623, 67157, 35678, 81924, 827, 623, 11116, 1083, 236743, 236832, 236778, 236764, 623, 76339, 1083, 236743, 236778, 236812, 236764, 623, 74718, 1083, 236743, 236828, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236810, 236828, 23179, 3714, 3473, 1083, 236743, 236800, 236764, 623, 14992, 1083, 623, 72334, 60682, 827, 623, 11116, 1083, 236743, 236825, 236819, 236764, 623, 76339, 1083, 236743, 236778, 236778, 236764, 623, 74718, 1083, 236743, 236770, 236771, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236812, 236810, 23179, 3714, 3473, 1083, 236743, 236812, 236764, 623, 14992, 1083, 623, 236788, 44048, 6314, 52451, 827, 623, 11116, 1083, 236743, 236810, 236828, 236764, 623, 76339, 1083, 236743, 236770, 236828, 236764, 623, 74718, 1083, 236743, 236770, 236812, 236764, 623, 29538, 236779, 44251, 1083, 10955, 236778, 236828, 236775, 165075, 106, 107, 105, 4368, 107, 818, 1903, 236743, 236800, 89533, 7974, 573, 506, 236743, 236778, 236771, 236778, 236800, 3409, 659, 236787, 108, 236770, 236761, 5213, 218437, 46566, 1018, 568, 97267, 734, 236768, 138, 107, 236778, 236761, 5213, 67157, 35678, 81924, 1018, 568, 236796, 632, 29746, 236768, 138, 107, 236800, 236761, 5213, 72334, 60682, 1018, 568, 3258, 54541, 236768, 138, 108, 38786, 611, 1133, 10686, 607, 54909, 4252, 37643, 528, 1239, 9979, 236764, 653, 1374, 564, 2847, 4767, 4889, 1003, 506, 7974, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 496, 13451, 1759, 9350, 8726, 528, 15553, 25265, 236764, 27608, 531, 1601, 786, 6739, 1041, 2033, 236761, 3551, 8705, 532, 564, 659, 6972, 1003, 217982, 1492, 600, 506, 6214, 735, 7808, 855, 236764, 840, 564, 1461, 5026, 1015, 38045, 506, 2263, 2436, 532, 740, 6060, 506, 12562, 35495, 236761, 28344, 611, 974, 786, 496, 1694, 529, 11362, 607, 910, 3662, 8283, 532, 2707, 4889, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236764, 623, 82199, 1083, 78493, 1201, 1083, 623, 65944, 24148, 827, 623, 31455, 236779, 5640, 1083, 623, 52468, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 11607, 1083, 3714, 6774, 1083, 623, 35304, 957, 236940, 500, 3404, 504, 236761, 854, 827, 623, 5275, 1083, 33865, 236828, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 23179, 623, 18146, 3123, 1083, 11058, 171716, 16234, 827, 623, 8063, 58332, 138636, 14255, 623, 31408, 236779, 18308, 1083, 3714, 5455, 236779, 3704, 236779, 26377, 1083, 236743, 236778, 236828, 236764, 623, 28128, 236779, 14356, 236779, 498, 236779, 16350, 1083, 236743, 236812, 236810, 236764, 623, 25016, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 5237, 3714, 1201, 1083, 623, 29518, 50439, 827, 623, 31455, 236779, 5640, 1083, 623, 52468, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 11607, 1083, 3714, 6774, 1083, 623, 139312, 236940, 9238, 59198, 1045, 236761, 854, 827, 623, 5275, 1083, 33865, 236828, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 23179, 623, 18146, 3123, 1083, 11058, 7280, 236772, 2866, 6863, 107514, 827, 623, 131318, 22948, 14255, 623, 31408, 236779, 18308, 1083, 3714, 5455, 236779, 3704, 236779, 26377, 1083, 236743, 236800, 236778, 236764, 623, 28128, 236779, 14356, 236779, 498, 236779, 16350, 1083, 236743, 236800, 236828, 236764, 623, 25016, 236779, 13126, 1083, 236743, 236812, 236761, 236819, 1807, 1604, 623, 2763, 37755, 1083, 623, 81933, 8726, 28150, 532, 4803, 4588, 1343, 9539, 10170, 23580, 6881, 1680, 15154, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1156, 6112, 236772, 7577, 1759, 9350, 11362, 528, 15553, 25265, 236764, 27608, 1015, 1451, 6361, 607, 11010, 822, 2033, 236787, 108, 7243, 108, 10354, 5213, 65944, 24148, 1018, 138, 107, 236772, 5213, 29105, 53121, 27608, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 138, 107, 236772, 5213, 11431, 53121, 138, 107, 138, 236772, 19955, 236787, 870, 35304, 957, 236940, 500, 3404, 504, 236761, 854, 5457, 36440, 236787, 35304, 957, 236940, 500, 3404, 504, 236761, 854, 236768, 138, 107, 138, 236772, 23386, 236787, 568, 236828, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 138, 107, 236772, 5213, 23244, 3123, 53121, 68231, 16234, 236764, 10237, 58332, 138636, 138, 107, 236772, 5213, 52277, 53121, 138, 107, 138, 236772, 236743, 236778, 236828, 5886, 1774, 1051, 138, 107, 138, 236772, 29748, 236743, 236812, 236810, 2668, 580, 2436, 138, 107, 138, 236772, 17438, 14470, 236787, 136723, 236812, 236761, 236832, 138, 108, 7243, 108, 10354, 5213, 29518, 50439, 1018, 138, 107, 236772, 5213, 29105, 53121, 27608, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 138, 107, 236772, 5213, 11431, 53121, 138, 107, 138, 236772, 19955, 236787, 870, 139312, 236940, 9238, 59198, 1045, 236761, 854, 5457, 36440, 236787, 139312, 236940, 9238, 59198, 1045, 236761, 854, 236768, 138, 107, 138, 236772, 23386, 236787, 568, 236828, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 138, 107, 236772, 5213, 23244, 3123, 53121, 5315, 236772, 2866, 6863, 107514, 236764, 43902, 22948, 138, 107, 236772, 5213, 52277, 53121, 138, 107, 138, 236772, 236743, 236800, 236778, 5886, 1774, 1051, 138, 107, 138, 236772, 29748, 236743, 236800, 236828, 2668, 580, 2436, 138, 107, 138, 236772, 17438, 14470, 236787, 136723, 236812, 236761, 236819, 138, 108, 7243, 108, 22186, 11362, 735, 3188, 2263, 2436, 4654, 532, 1494, 4430, 17681, 236761, 21516, 56017, 528, 217982, 25477, 236764, 1651, 8972, 815, 14739, 528, 17110, 5082, 568, 584, 11955, 531, 822, 2033, 769, 236743, 108, 1018, 9272, 6555, 53121, 138, 107, 236770, 236761, 66636, 910, 28150, 1343, 506, 870, 69033, 10170, 23580, 6881, 5457, 2574, 1411, 2769, 236761, 4283, 236755, 236761, 3255, 236761, 9715, 236761, 605, 93975, 138, 107, 236778, 236761, 13948, 3477, 8726, 573, 496, 22388, 236761, 138, 108, 38786, 611, 1133, 786, 531, 33205, 11362, 699, 3104, 236743, 236778, 653, 236743, 236800, 573, 919, 3835, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1407, 786, 506, 11362, 699, 3104, 236743, 236778, 236881, 564, 236858, 236753, 1133, 531, 10769, 496, 2321, 919, 3835, 1680, 17154, 855, 236761, 3551, 8705, 20547, 496, 15036, 8726, 2473, 577, 919, 14896, 236772, 187711, 607, 3489, 38332, 236764, 840, 564, 1550, 2707, 607, 217982, 25477, 236761, 3792, 236858, 236751, 1460, 1144, 1032, 20183, 659, 855, 993, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4000, 1083, 236743, 236778, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 6725, 236779, 82199, 1083, 236743, 236812, 236832, 236764, 623, 82199, 1083, 78493, 1201, 1083, 623, 94537, 50439, 827, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236810, 236770, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236828, 236819, 236778, 827, 623, 6774, 1083, 623, 581, 1403, 236761, 530, 6570, 43377, 236940, 500, 3404, 504, 236761, 854, 23179, 623, 18146, 3123, 1083, 11058, 7280, 236772, 2289, 2033, 21192, 827, 623, 35153, 2033, 12434, 14255, 623, 72031, 236779, 5455, 236779, 3704, 1083, 236743, 236778, 236800, 236764, 623, 53236, 236779, 33658, 1083, 236743, 236810, 236764, 623, 28128, 236779, 14356, 236779, 498, 236779, 16350, 1083, 236743, 236778, 236778, 1263, 3714, 1201, 1083, 623, 29518, 24148, 827, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236810, 236770, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236832, 236800, 236778, 236770, 827, 623, 6774, 1083, 623, 139312, 236761, 228316, 14469, 236940, 500, 3404, 504, 236761, 854, 23179, 623, 18146, 3123, 1083, 11058, 120392, 5082, 827, 623, 8063, 58332, 25477, 14255, 623, 72031, 236779, 5455, 236779, 3704, 1083, 236743, 236770, 236832, 236764, 623, 53236, 236779, 33658, 1083, 236743, 236770, 236828, 236764, 623, 28128, 236779, 14356, 236779, 498, 236779, 16350, 1083, 236743, 236800, 236770, 1263, 3714, 1201, 1083, 623, 236776, 19624, 30641, 827, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236810, 236770, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236812, 236819, 236771, 236770, 827, 623, 6774, 1083, 623, 236746, 19624, 236761, 4554, 589, 236940, 500, 3404, 504, 236761, 854, 23179, 623, 18146, 3123, 1083, 11058, 116075, 5082, 827, 623, 236800, 236796, 9144, 26931, 14255, 623, 72031, 236779, 5455, 236779, 3704, 1083, 236743, 236800, 236770, 236764, 623, 53236, 236779, 33658, 1083, 236743, 236819, 236764, 623, 28128, 236779, 14356, 236779, 498, 236779, 16350, 1083, 236743, 236770, 236828, 104960, 623, 28881, 236779, 103411, 1083, 3714, 13319, 1083, 623, 16708, 25265, 827, 623, 3255, 236779, 3970, 1083, 623, 52468, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1806, 11362, 699, 3104, 236743, 236778, 528, 15553, 25265, 236764, 27608, 236787, 108, 7243, 108, 10354, 5213, 94537, 50439, 1018, 138, 107, 236772, 5213, 11431, 53121, 138, 107, 138, 236772, 23386, 236787, 568, 236810, 236770, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236828, 236819, 236778, 138, 107, 138, 236772, 19955, 236787, 870, 581, 1403, 236761, 530, 6570, 43377, 236940, 500, 3404, 504, 236761, 854, 5457, 36440, 236787, 581, 1403, 236761, 530, 6570, 43377, 236940, 500, 3404, 504, 236761, 854, 236768, 138, 107, 236772, 5213, 23244, 3123, 53121, 5315, 236772, 2289, 2033, 21192, 236764, 15735, 2033, 12434, 138, 107, 236772, 5213, 30738, 53121, 138, 107, 138, 236772, 236743, 236778, 236800, 16788, 1774, 1051, 138, 107, 138, 236772, 236743, 236810, 1518, 529, 2707, 138, 107, 138, 236772, 29748, 5213, 236778, 236778, 2668, 1018, 580, 2436, 138, 108, 7243, 108, 10354, 5213, 29518, 24148, 1018, 138, 107, 236772, 5213, 11431, 53121, 138, 107, 138, 236772, 23386, 236787, 568, 236810, 236770, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236832, 236800, 236778, 236770, 138, 107, 138, 236772, 19955, 236787, 870, 139312, 236761, 228316, 14469, 236940, 500, 3404, 504, 236761, 854, 5457, 36440, 236787, 139312, 236761, 228316, 14469, 236940, 500, 3404, 504, 236761, 854, 236768, 138, 107, 236772, 5213, 23244, 3123, 53121, 59169, 5082, 236764, 10237, 58332, 25477, 138, 107, 236772, 5213, 30738, 53121, 138, 107, 138, 236772, 236743, 236770, 236832, 16788, 1774, 1051, 138, 107, 138, 236772, 5213, 236770, 236828, 1518, 1018, 529, 2707, 138, 107, 138, 236772, 29748, 5213, 236800, 236770, 2668, 1018, 580, 2436, 138, 108, 7243, 108, 10354, 5213, 236776, 19624, 30641, 1018, 138, 107, 236772, 5213, 11431, 53121, 138, 107, 138, 236772, 23386, 236787, 568, 236810, 236770, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236812, 236819, 236771, 236770, 138, 107, 138, 236772, 19955, 236787, 870, 236746, 19624, 236761, 4554, 589, 236940, 500, 3404, 504, 236761, 854, 5457, 36440, 236787, 236746, 19624, 236761, 4554, 589, 236940, 500, 3404, 504, 236761, 854, 236768, 138, 107, 236772, 5213, 23244, 3123, 53121, 27269, 5082, 236764, 5213, 236800, 236796, 9144, 26931, 1018, 138, 107, 236772, 5213, 30738, 53121, 138, 107, 138, 236772, 5213, 236800, 236770, 16788, 1018, 1774, 1051, 138, 107, 138, 236772, 236743, 236819, 1518, 529, 2707, 138, 107, 138, 236772, 29748, 5213, 236770, 236828, 2668, 1018, 580, 2436, 138, 108, 7243, 108, 10354, 9533, 73022, 236787, 138, 107, 236772, 5213, 29235, 236772, 187711, 3835, 53121, 35649, 568, 32306, 2033, 12434, 236768, 532, 192369, 568, 236800, 236796, 9144, 26931, 236768, 8913, 607, 822, 8705, 236858, 236751, 24104, 236761, 138, 107, 236772, 5213, 8063, 58332, 14739, 53121, 8972, 24148, 815, 3629, 2707, 607, 217982, 25477, 568, 5282, 21516, 699, 3104, 236743, 236770, 769, 138, 107, 236772, 5213, 16733, 53121, 192369, 815, 506, 14723, 4398, 2668, 580, 2436, 568, 236770, 236828, 779, 1651, 35649, 236858, 236751, 33530, 568, 236810, 1518, 236768, 840, 4592, 236772, 41831, 236761, 138, 108, 38786, 611, 1133, 531, 1460, 3104, 236743, 236800, 11362, 653, 59638, 506, 1694, 3342, 568, 236744, 236761, 236759, 1126, 5957, 684, 14896, 6436, 653, 1518, 529, 2707, 20625, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 59638, 506, 1694, 684, 35129, 573, 5213, 17470, 6436, 1018, 1171, 237028, 145300, 236743, 236800, 236796, 9144, 26931, 532, 6538, 2033, 12434, 236761, 3551, 8705, 6950, 1217, 2132, 625, 563, 531, 735, 4532, 20104, 11048, 236764, 4285, 2338, 834, 1551, 21192, 1502, 910, 3927, 3489, 236761, 1637, 692, 740, 12019, 1679, 11362, 1015, 65607, 528, 1724, 6436, 236764, 600, 1093, 1601, 775, 12056, 531, 15036, 21192, 236761, 6542, 236764, 1451, 611, 8357, 1027, 11362, 1015, 735, 2707, 607, 5213, 69421, 3670, 38332, 1018, 236881, 5137, 2033, 815, 1070, 3303, 67488, 26273, 532, 5284, 236772, 495, 172465, 600, 564, 236858, 236753, 17554, 531, 1460, 44504, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 8701, 11362, 607, 1239, 3530, 36724, 236761, 5978, 506, 5904, 4038, 236789, 236745, 5467, 5957, 684, 37358, 30154, 236764, 564, 236789, 859, 18840, 506, 1262, 692, 735, 699, 7704, 236743, 236770, 236772, 236778, 532, 4071, 236772, 30449, 607, 822, 13138, 236787, 108, 7243, 108, 10354, 5213, 29235, 236772, 71087, 10879, 59698, 607, 13806, 25373, 1018, 138, 107, 1018, 236770, 236761, 35649, 50439, 1018, 568, 4163, 236743, 236778, 236768, 138, 107, 236772, 5213, 35153, 6863, 43645, 1018, 20727, 138, 107, 236772, 65284, 5213, 236800, 236796, 9144, 26931, 1018, 568, 152044, 586, 25832, 1343, 4532, 14896, 3213, 236768, 138, 107, 236772, 20148, 38332, 236787, 236743, 236778, 236778, 2668, 580, 2436, 138, 108, 1018, 236778, 236761, 192369, 30641, 1018, 568, 4163, 236743, 236778, 236768, 138, 107, 236772, 145971, 5213, 236800, 236796, 31023, 60627, 1018, 37358, 138, 107, 236772, 4819, 12562, 5542, 236787, 236743, 236800, 236770, 5886, 1774, 1051, 138, 107, 236772, 18671, 236772, 13883, 4313, 236787, 169931, 6178, 9691, 5177, 6436, 138, 108, 7243, 108, 10354, 5213, 131318, 18269, 69262, 1018, 138, 107, 1018, 236770, 236761, 8972, 50439, 1018, 568, 4163, 236743, 236770, 236768, 138, 107, 236772, 5213, 131318, 22948, 1018, 37358, 138, 107, 236772, 4819, 5602, 14470, 236787, 136723, 236812, 236761, 236819, 138, 107, 236772, 20369, 236787, 236743, 236800, 236778, 5886, 1774, 1051, 138, 108, 1018, 236778, 236761, 8972, 24148, 1018, 568, 4163, 236743, 236778, 236768, 138, 107, 236772, 20369, 607, 5213, 114271, 5082, 1018, 568, 14786, 28981, 607, 17110, 10374, 236768, 138, 107, 236772, 236743, 236770, 236828, 1518, 529, 2707, 12804, 3996, 16788, 138, 108, 7243, 108, 10354, 5213, 17043, 31389, 573, 5180, 59017, 1018, 138, 107, 1018, 8534, 111506, 53121, 138, 107, 1018, 29518, 50439, 1018, 568, 4163, 236743, 236770, 236768, 900, 5213, 236776, 19624, 30641, 1018, 568, 4163, 236743, 236778, 236768, 138, 107, 236772, 8972, 38045, 217982, 25477, 532, 17110, 4065, 138, 107, 236772, 192369, 236858, 236751, 236743, 236800, 236796, 26931, 1093, 32545, 822, 2033, 236858, 236751, 4709, 4820, 3489, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 91820, 5213, 4000, 236743, 236800, 11362, 1018, 531, 1586, 919, 14896, 236772, 41889, 3835, 236881, 138, 107, 236778, 236761, 12713, 236772, 4256, 10945, 28100, 573, 1239, 1903, 13176, 4323, 506, 9539, 10170, 23580, 6881, 236881, 138, 107, 236800, 236761, 41261, 496, 8948, 573, 76531, 11362, 1003, 910, 4313, 531, 17110, 10374, 532, 5177, 7009, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 496, 13451, 1759, 9350, 8726, 528, 15553, 25265, 236764, 27608, 531, 1601, 786, 6739, 1041, 2033, 236761, 3551, 8705, 532, 564, 659, 6972, 1003, 217982, 1492, 600, 506, 6214, 735, 7808, 855, 236764, 840, 564, 1461, 5026, 1015, 38045, 506, 2263, 2436, 532, 740, 6060, 506, 12562, 35495, 236761, 28344, 611, 974, 786, 496, 1694, 529, 11362, 607, 910, 3662, 8283, 532, 2707, 4889, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236764, 623, 82199, 1083, 78493, 1201, 1083, 623, 65944, 24148, 827, 623, 31455, 236779, 5640, 1083, 623, 52468, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 11607, 1083, 3714, 6774, 1083, 623, 35304, 957, 236940, 500, 3404, 504, 236761, 854, 827, 623, 5275, 1083, 33865, 236828, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 23179, 623, 18146, 3123, 1083, 11058, 171716, 16234, 827, 623, 8063, 58332, 138636, 14255, 623, 31408, 236779, 18308, 1083, 3714, 5455, 236779, 3704, 236779, 26377, 1083, 236743, 236778, 236828, 236764, 623, 28128, 236779, 14356, 236779, 498, 236779, 16350, 1083, 236743, 236812, 236810, 236764, 623, 25016, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 5237, 3714, 1201, 1083, 623, 29518, 50439, 827, 623, 31455, 236779, 5640, 1083, 623, 52468, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 11607, 1083, 3714, 6774, 1083, 623, 139312, 236940, 9238, 59198, 1045, 236761, 854, 827, 623, 5275, 1083, 33865, 236828, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 23179, 623, 18146, 3123, 1083, 11058, 7280, 236772, 2866, 6863, 107514, 827, 623, 131318, 22948, 14255, 623, 31408, 236779, 18308, 1083, 3714, 5455, 236779, 3704, 236779, 26377, 1083, 236743, 236800, 236778, 236764, 623, 28128, 236779, 14356, 236779, 498, 236779, 16350, 1083, 236743, 236800, 236828, 236764, 623, 25016, 236779, 13126, 1083, 236743, 236812, 236761, 236819, 1807, 1604, 623, 2763, 37755, 1083, 623, 81933, 8726, 28150, 532, 4803, 4588, 1343, 9539, 10170, 23580, 6881, 1680, 15154, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1156, 6112, 236772, 7577, 1759, 9350, 11362, 528, 15553, 25265, 236764, 27608, 1015, 1451, 6361, 607, 11010, 822, 2033, 236787, 108, 7243, 108, 10354, 5213, 65944, 24148, 1018, 138, 107, 236772, 5213, 29105, 53121, 27608, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 138, 107, 236772, 5213, 11431, 53121, 138, 107, 138, 236772, 19955, 236787, 870, 35304, 957, 236940, 500, 3404, 504, 236761, 854, 5457, 36440, 236787, 35304, 957, 236940, 500, 3404, 504, 236761, 854, 236768, 138, 107, 138, 236772, 23386, 236787, 568, 236828, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 138, 107, 236772, 5213, 23244, 3123, 53121, 68231, 16234, 236764, 10237, 58332, 138636, 138, 107, 236772, 5213, 52277, 53121, 138, 107, 138, 236772, 236743, 236778, 236828, 5886, 1774, 1051, 138, 107, 138, 236772, 29748, 236743, 236812, 236810, 2668, 580, 2436, 138, 107, 138, 236772, 17438, 14470, 236787, 136723, 236812, 236761, 236832, 138, 108, 7243, 108, 10354, 5213, 29518, 50439, 1018, 138, 107, 236772, 5213, 29105, 53121, 27608, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 138, 107, 236772, 5213, 11431, 53121, 138, 107, 138, 236772, 19955, 236787, 870, 139312, 236940, 9238, 59198, 1045, 236761, 854, 5457, 36440, 236787, 139312, 236940, 9238, 59198, 1045, 236761, 854, 236768, 138, 107, 138, 236772, 23386, 236787, 568, 236828, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 138, 107, 236772, 5213, 23244, 3123, 53121, 5315, 236772, 2866, 6863, 107514, 236764, 43902, 22948, 138, 107, 236772, 5213, 52277, 53121, 138, 107, 138, 236772, 236743, 236800, 236778, 5886, 1774, 1051, 138, 107, 138, 236772, 29748, 236743, 236800, 236828, 2668, 580, 2436, 138, 107, 138, 236772, 17438, 14470, 236787, 136723, 236812, 236761, 236819, 138, 108, 7243, 108, 22186, 11362, 735, 3188, 2263, 2436, 4654, 532, 1494, 4430, 17681, 236761, 21516, 56017, 528, 217982, 25477, 236764, 1651, 8972, 815, 14739, 528, 17110, 5082, 568, 584, 11955, 531, 822, 2033, 769, 236743, 108, 1018, 9272, 6555, 53121, 138, 107, 236770, 236761, 66636, 910, 28150, 1343, 506, 870, 69033, 10170, 23580, 6881, 5457, 2574, 1411, 2769, 236761, 4283, 236755, 236761, 3255, 236761, 9715, 236761, 605, 93975, 138, 107, 236778, 236761, 13948, 3477, 8726, 573, 496, 22388, 236761, 138, 108, 38786, 611, 1133, 786, 531, 33205, 11362, 699, 3104, 236743, 236778, 653, 236743, 236800, 573, 919, 3835, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1407, 786, 506, 11362, 699, 3104, 236743, 236778, 236881, 564, 236858, 236753, 1133, 531, 10769, 496, 2321, 919, 3835, 1680, 17154, 855, 236761, 3551, 8705, 20547, 496, 15036, 8726, 2473, 577, 919, 14896, 236772, 187711, 607, 3489, 38332, 236764, 840, 564, 1550, 2707, 607, 217982, 25477, 236761, 3792, 236858, 236751, 1460, 1144, 1032, 20183, 659, 855, 993, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4000, 1083, 236743, 236778, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 6725, 236779, 82199, 1083, 236743, 236812, 236832, 236764, 623, 82199, 1083, 78493, 1201, 1083, 623, 94537, 50439, 827, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236810, 236770, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236828, 236819, 236778, 827, 623, 6774, 1083, 623, 581, 1403, 236761, 530, 6570, 43377, 236940, 500, 3404, 504, 236761, 854, 23179, 623, 18146, 3123, 1083, 11058, 7280, 236772, 2289, 2033, 21192, 827, 623, 35153, 2033, 12434, 14255, 623, 72031, 236779, 5455, 236779, 3704, 1083, 236743, 236778, 236800, 236764, 623, 53236, 236779, 33658, 1083, 236743, 236810, 236764, 623, 28128, 236779, 14356, 236779, 498, 236779, 16350, 1083, 236743, 236778, 236778, 1263, 3714, 1201, 1083, 623, 29518, 24148, 827, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236810, 236770, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236832, 236800, 236778, 236770, 827, 623, 6774, 1083, 623, 139312, 236761, 228316, 14469, 236940, 500, 3404, 504, 236761, 854, 23179, 623, 18146, 3123, 1083, 11058, 120392, 5082, 827, 623, 8063, 58332, 25477, 14255, 623, 72031, 236779, 5455, 236779, 3704, 1083, 236743, 236770, 236832, 236764, 623, 53236, 236779, 33658, 1083, 236743, 236770, 236828, 236764, 623, 28128, 236779, 14356, 236779, 498, 236779, 16350, 1083, 236743, 236800, 236770, 1263, 3714, 1201, 1083, 623, 236776, 19624, 30641, 827, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236810, 236770, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236812, 236819, 236771, 236770, 827, 623, 6774, 1083, 623, 236746, 19624, 236761, 4554, 589, 236940, 500, 3404, 504, 236761, 854, 23179, 623, 18146, 3123, 1083, 11058, 116075, 5082, 827, 623, 236800, 236796, 9144, 26931, 14255, 623, 72031, 236779, 5455, 236779, 3704, 1083, 236743, 236800, 236770, 236764, 623, 53236, 236779, 33658, 1083, 236743, 236819, 236764, 623, 28128, 236779, 14356, 236779, 498, 236779, 16350, 1083, 236743, 236770, 236828, 104960, 623, 28881, 236779, 103411, 1083, 3714, 13319, 1083, 623, 16708, 25265, 827, 623, 3255, 236779, 3970, 1083, 623, 52468, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1806, 11362, 699, 3104, 236743, 236778, 528, 15553, 25265, 236764, 27608, 236787, 108, 7243, 108, 10354, 5213, 94537, 50439, 1018, 138, 107, 236772, 5213, 11431, 53121, 138, 107, 138, 236772, 23386, 236787, 568, 236810, 236770, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236828, 236819, 236778, 138, 107, 138, 236772, 19955, 236787, 870, 581, 1403, 236761, 530, 6570, 43377, 236940, 500, 3404, 504, 236761, 854, 5457, 36440, 236787, 581, 1403, 236761, 530, 6570, 43377, 236940, 500, 3404, 504, 236761, 854, 236768, 138, 107, 236772, 5213, 23244, 3123, 53121, 5315, 236772, 2289, 2033, 21192, 236764, 15735, 2033, 12434, 138, 107, 236772, 5213, 30738, 53121, 138, 107, 138, 236772, 236743, 236778, 236800, 16788, 1774, 1051, 138, 107, 138, 236772, 236743, 236810, 1518, 529, 2707, 138, 107, 138, 236772, 29748, 5213, 236778, 236778, 2668, 1018, 580, 2436, 138, 108, 7243, 108, 10354, 5213, 29518, 24148, 1018, 138, 107, 236772, 5213, 11431, 53121, 138, 107, 138, 236772, 23386, 236787, 568, 236810, 236770, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236832, 236800, 236778, 236770, 138, 107, 138, 236772, 19955, 236787, 870, 139312, 236761, 228316, 14469, 236940, 500, 3404, 504, 236761, 854, 5457, 36440, 236787, 139312, 236761, 228316, 14469, 236940, 500, 3404, 504, 236761, 854, 236768, 138, 107, 236772, 5213, 23244, 3123, 53121, 59169, 5082, 236764, 10237, 58332, 25477, 138, 107, 236772, 5213, 30738, 53121, 138, 107, 138, 236772, 236743, 236770, 236832, 16788, 1774, 1051, 138, 107, 138, 236772, 5213, 236770, 236828, 1518, 1018, 529, 2707, 138, 107, 138, 236772, 29748, 5213, 236800, 236770, 2668, 1018, 580, 2436, 138, 108, 7243, 108, 10354, 5213, 236776, 19624, 30641, 1018, 138, 107, 236772, 5213, 11431, 53121, 138, 107, 138, 236772, 23386, 236787, 568, 236810, 236770, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236812, 236819, 236771, 236770, 138, 107, 138, 236772, 19955, 236787, 870, 236746, 19624, 236761, 4554, 589, 236940, 500, 3404, 504, 236761, 854, 5457, 36440, 236787, 236746, 19624, 236761, 4554, 589, 236940, 500, 3404, 504, 236761, 854, 236768, 138, 107, 236772, 5213, 23244, 3123, 53121, 27269, 5082, 236764, 5213, 236800, 236796, 9144, 26931, 1018, 138, 107, 236772, 5213, 30738, 53121, 138, 107, 138, 236772, 5213, 236800, 236770, 16788, 1018, 1774, 1051, 138, 107, 138, 236772, 236743, 236819, 1518, 529, 2707, 138, 107, 138, 236772, 29748, 5213, 236770, 236828, 2668, 1018, 580, 2436, 138, 108, 7243, 108, 10354, 9533, 73022, 236787, 138, 107, 236772, 5213, 29235, 236772, 187711, 3835, 53121, 35649, 568, 32306, 2033, 12434, 236768, 532, 192369, 568, 236800, 236796, 9144, 26931, 236768, 8913, 607, 822, 8705, 236858, 236751, 24104, 236761, 138, 107, 236772, 5213, 8063, 58332, 14739, 53121, 8972, 24148, 815, 3629, 2707, 607, 217982, 25477, 568, 5282, 21516, 699, 3104, 236743, 236770, 769, 138, 107, 236772, 5213, 16733, 53121, 192369, 815, 506, 14723, 4398, 2668, 580, 2436, 568, 236770, 236828, 779, 1651, 35649, 236858, 236751, 33530, 568, 236810, 1518, 236768, 840, 4592, 236772, 41831, 236761, 138, 108, 38786, 611, 1133, 531, 1460, 3104, 236743, 236800, 11362, 653, 59638, 506, 1694, 3342, 568, 236744, 236761, 236759, 1126, 5957, 684, 14896, 6436, 653, 1518, 529, 2707, 20625, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 59638, 506, 1694, 684, 35129, 573, 5213, 17470, 6436, 1018, 1171, 237028, 145300, 236743, 236800, 236796, 9144, 26931, 532, 6538, 2033, 12434, 236761, 3551, 8705, 6950, 1217, 2132, 625, 563, 531, 735, 4532, 20104, 11048, 236764, 4285, 2338, 834, 1551, 21192, 1502, 910, 3927, 3489, 236761, 1637, 692, 740, 12019, 1679, 11362, 1015, 65607, 528, 1724, 6436, 236764, 600, 1093, 1601, 775, 12056, 531, 15036, 21192, 236761, 6542, 236764, 1451, 611, 8357, 1027, 11362, 1015, 735, 2707, 607, 5213, 69421, 3670, 38332, 1018, 236881, 5137, 2033, 815, 1070, 3303, 67488, 26273, 532, 5284, 236772, 495, 172465, 600, 564, 236858, 236753, 17554, 531, 1460, 44504, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 8701, 11362, 607, 1239, 3530, 36724, 236761, 5978, 506, 5904, 4038, 236789, 236745, 5467, 5957, 684, 37358, 30154, 236764, 564, 236789, 859, 18840, 506, 1262, 692, 735, 699, 7704, 236743, 236770, 236772, 236778, 532, 4071, 236772, 30449, 607, 822, 13138, 236787, 108, 7243, 108, 10354, 5213, 29235, 236772, 71087, 10879, 59698, 607, 13806, 25373, 1018, 138, 107, 1018, 236770, 236761, 35649, 50439, 1018, 568, 4163, 236743, 236778, 236768, 138, 107, 236772, 5213, 35153, 6863, 43645, 1018, 20727, 138, 107, 236772, 65284, 5213, 236800, 236796, 9144, 26931, 1018, 568, 152044, 586, 25832, 1343, 4532, 14896, 3213, 236768, 138, 107, 236772, 20148, 38332, 236787, 236743, 236778, 236778, 2668, 580, 2436, 138, 108, 1018, 236778, 236761, 192369, 30641, 1018, 568, 4163, 236743, 236778, 236768, 138, 107, 236772, 145971, 5213, 236800, 236796, 31023, 60627, 1018, 37358, 138, 107, 236772, 4819, 12562, 5542, 236787, 236743, 236800, 236770, 5886, 1774, 1051, 138, 107, 236772, 18671, 236772, 13883, 4313, 236787, 169931, 6178, 9691, 5177, 6436, 138, 108, 7243, 108, 10354, 5213, 131318, 18269, 69262, 1018, 138, 107, 1018, 236770, 236761, 8972, 50439, 1018, 568, 4163, 236743, 236770, 236768, 138, 107, 236772, 5213, 131318, 22948, 1018, 37358, 138, 107, 236772, 4819, 5602, 14470, 236787, 136723, 236812, 236761, 236819, 138, 107, 236772, 20369, 236787, 236743, 236800, 236778, 5886, 1774, 1051, 138, 108, 1018, 236778, 236761, 8972, 24148, 1018, 568, 4163, 236743, 236778, 236768, 138, 107, 236772, 20369, 607, 5213, 114271, 5082, 1018, 568, 14786, 28981, 607, 17110, 10374, 236768, 138, 107, 236772, 236743, 236770, 236828, 1518, 529, 2707, 12804, 3996, 16788, 138, 108, 7243, 108, 10354, 5213, 17043, 31389, 573, 5180, 59017, 1018, 138, 107, 1018, 8534, 111506, 53121, 138, 107, 1018, 29518, 50439, 1018, 568, 4163, 236743, 236770, 236768, 900, 5213, 236776, 19624, 30641, 1018, 568, 4163, 236743, 236778, 236768, 138, 107, 236772, 8972, 38045, 217982, 25477, 532, 17110, 4065, 138, 107, 236772, 192369, 236858, 236751, 236743, 236800, 236796, 26931, 1093, 32545, 822, 2033, 236858, 236751, 4709, 4820, 3489, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 91820, 5213, 4000, 236743, 236800, 11362, 1018, 531, 1586, 919, 14896, 236772, 41889, 3835, 236881, 138, 107, 236778, 236761, 12713, 236772, 4256, 10945, 28100, 573, 1239, 1903, 13176, 4323, 506, 9539, 10170, 23580, 6881, 236881, 138, 107, 236800, 236761, 41261, 496, 8948, 573, 76531, 11362, 1003, 910, 4313, 531, 17110, 10374, 532, 5177, 7009, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 2731, 496, 35818, 30037, 573, 7564, 1308, 506, 13181, 3409, 657, 981, 237028, 3307, 8126, 3210, 531, 113076, 563, 27893, 528, 506, 18248, 31093, 236764, 834, 564, 236789, 236753, 2765, 2613, 607, 20000, 532, 4135, 68371, 236761, 28344, 611, 1601, 786, 13103, 614, 26410, 573, 496, 1156, 236772, 14808, 30037, 6250, 6198, 236743, 236770, 236810, 594, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 528, 506, 18248, 31093, 2433, 236881, 3551, 3662, 8283, 563, 104297, 17277, 236764, 568, 236812, 236800, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 236764, 532, 2087, 1614, 236761, 219094, 236940, 6774, 236761, 854, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 495, 17452, 236779, 547, 1083, 623, 30061, 236772, 236778, 236771, 236778, 236812, 236770, 236771, 236770, 236810, 236772, 236771, 236771, 236770, 827, 623, 4818, 1083, 623, 92386, 827, 623, 104094, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 11069, 35818, 30037, 26410, 815, 1010, 10428, 13450, 236888, 5715, 659, 506, 4889, 236787, 108, 1018, 902, 17452, 5853, 53121, 37037, 236772, 236778, 236771, 236778, 236812, 236770, 236771, 236770, 236810, 236772, 236771, 236771, 236770, 138, 107, 1018, 6717, 53121, 143142, 138, 107, 1018, 114225, 6809, 53121, 6198, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236778, 236787, 236800, 236771, 8711, 59528, 138, 108, 818, 30037, 2434, 795, 5370, 855, 531, 611, 4323, 4553, 568, 497, 1614, 236761, 219094, 236940, 6774, 236761, 854, 236768, 2351, 236743, 236770, 236772, 236778, 1960, 2668, 531, 3249, 822, 1156, 236772, 14808, 20000, 532, 4135, 68371, 30037, 528, 506, 18248, 31093, 6250, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236761, 2195, 236858, 859, 992, 9128, 15830, 573, 822, 12373, 14069, 532, 3249, 1027, 4767, 4889, 236761, 108, 14782, 611, 573, 16890, 672, 35818, 9338, 236888, 236743, 243536, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 4658, 1663, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 2731, 496, 35818, 30037, 573, 7564, 1308, 506, 13181, 3409, 657, 981, 237028, 3307, 8126, 3210, 531, 113076, 563, 27893, 528, 506, 18248, 31093, 236764, 834, 564, 236789, 236753, 2765, 2613, 607, 20000, 532, 4135, 68371, 236761, 28344, 611, 1601, 786, 13103, 614, 26410, 573, 496, 1156, 236772, 14808, 30037, 6250, 6198, 236743, 236770, 236810, 594, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 528, 506, 18248, 31093, 2433, 236881, 3551, 3662, 8283, 563, 104297, 17277, 236764, 568, 236812, 236800, 236778, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 236764, 532, 2087, 1614, 236761, 219094, 236940, 6774, 236761, 854, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 495, 17452, 236779, 547, 1083, 623, 30061, 236772, 236778, 236771, 236778, 236812, 236770, 236771, 236770, 236810, 236772, 236771, 236771, 236770, 827, 623, 4818, 1083, 623, 92386, 827, 623, 104094, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 11069, 35818, 30037, 26410, 815, 1010, 10428, 13450, 236888, 5715, 659, 506, 4889, 236787, 108, 1018, 902, 17452, 5853, 53121, 37037, 236772, 236778, 236771, 236778, 236812, 236770, 236771, 236770, 236810, 236772, 236771, 236771, 236770, 138, 107, 1018, 6717, 53121, 143142, 138, 107, 1018, 114225, 6809, 53121, 6198, 236743, 236770, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236778, 236787, 236800, 236771, 8711, 59528, 138, 108, 818, 30037, 2434, 795, 5370, 855, 531, 611, 4323, 4553, 568, 497, 1614, 236761, 219094, 236940, 6774, 236761, 854, 236768, 2351, 236743, 236770, 236772, 236778, 1960, 2668, 531, 3249, 822, 1156, 236772, 14808, 20000, 532, 4135, 68371, 30037, 528, 506, 18248, 31093, 6250, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236761, 2195, 236858, 859, 992, 9128, 15830, 573, 822, 12373, 14069, 532, 3249, 1027, 4767, 4889, 236761, 108, 14782, 611, 573, 16890, 672, 35818, 9338, 236888, 236743, 243536, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 4658, 1663, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11823, 506, 8610, 1938, 573, 506, 4456, 756, 2769, 236761, 8358, 236761, 854, 6748, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 33205, 8610, 1938, 653, 2121, 37677, 2249, 1385, 11303, 236761, 669, 2487, 6436, 659, 5809, 531, 16329, 77648, 4945, 528, 89741, 34438, 236764, 20150, 13571, 573, 36828, 26111, 236791, 39917, 236764, 532, 19460, 50123, 236761, 21284, 611, 1133, 786, 531, 1601, 607, 1027, 529, 1239, 8008, 9395, 5205, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11823, 506, 8610, 1938, 573, 506, 4456, 756, 2769, 236761, 8358, 236761, 854, 6748, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 33205, 8610, 1938, 653, 2121, 37677, 2249, 1385, 11303, 236761, 669, 2487, 6436, 659, 5809, 531, 16329, 77648, 4945, 528, 89741, 34438, 236764, 20150, 13571, 573, 36828, 26111, 236791, 39917, 236764, 532, 19460, 50123, 236761, 21284, 611, 1133, 786, 531, 1601, 607, 1027, 529, 1239, 8008, 9395, 5205, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 784, 4408, 14767, 3211, 1208, 609, 236810, 236771, 600, 659, 528, 2862, 236761, 2024, 4491, 236764, 564, 992, 1202, 531, 2426, 768, 1698, 5853, 236743, 236812, 236810, 236825, 236832, 236828, 563, 2487, 528, 600, 1694, 236761, 1637, 625, 236789, 236751, 711, 993, 236764, 1407, 786, 3361, 4852, 528, 506, 1638, 8038, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 5930, 236779, 547, 1083, 623, 236812, 236810, 236825, 236832, 236828, 827, 623, 1201, 1083, 623, 19574, 236759, 44805, 60361, 143092, 827, 623, 10618, 1083, 623, 39451, 77245, 827, 623, 9707, 1083, 236743, 236800, 236819, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 23179, 3714, 5930, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 46777, 10633, 80779, 827, 623, 10618, 1083, 623, 39451, 77245, 827, 623, 9707, 1083, 236743, 236770, 236812, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 23179, 3714, 5930, 236779, 547, 1083, 623, 236825, 236832, 236828, 236819, 236771, 827, 623, 1201, 1083, 623, 66649, 742, 26295, 8383, 827, 623, 10618, 1083, 623, 39451, 77245, 827, 623, 9707, 1083, 236743, 236812, 236819, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 23179, 3714, 5930, 236779, 547, 1083, 623, 236819, 236828, 236832, 236825, 236810, 827, 623, 1201, 1083, 623, 162526, 44813, 55598, 827, 623, 10618, 1083, 623, 215391, 827, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 23179, 3714, 5930, 236779, 547, 1083, 623, 236770, 236770, 236778, 236778, 236800, 827, 623, 1201, 1083, 623, 99176, 79156, 1898, 827, 623, 10618, 1083, 623, 39451, 77245, 827, 623, 9707, 1083, 236743, 236828, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 3949, 529, 13827, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 4408, 14767, 1208, 609, 236810, 236771, 600, 659, 528, 2862, 236787, 108, 236770, 236761, 5213, 19574, 236759, 44805, 60361, 143092, 1018, 568, 7163, 5853, 236787, 236743, 236812, 236810, 236825, 236832, 236828, 236768, 753, 609, 236800, 236819, 236761, 236819, 236819, 138, 107, 236778, 236761, 5213, 46777, 10633, 80779, 1018, 568, 7163, 5853, 236787, 236743, 236770, 236778, 236800, 236812, 236810, 236768, 753, 609, 236770, 236812, 236761, 236819, 236819, 138, 107, 236800, 236761, 5213, 66649, 742, 26295, 8383, 1018, 568, 7163, 5853, 236787, 236743, 236825, 236832, 236828, 236819, 236771, 236768, 753, 609, 236812, 236819, 236761, 236819, 236819, 138, 108, 240732, 5213, 7163, 5853, 236743, 236812, 236810, 236825, 236832, 236828, 1018, 563, 5012, 528, 672, 1694, 236761, 2301, 1202, 531, 2426, 573, 3361, 4852, 2338, 625, 236858, 236751, 3016, 2487, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 784, 4408, 14767, 3211, 1208, 609, 236810, 236771, 600, 659, 528, 2862, 236761, 2024, 4491, 236764, 564, 992, 1202, 531, 2426, 768, 1698, 5853, 236743, 236812, 236810, 236825, 236832, 236828, 563, 2487, 528, 600, 1694, 236761, 1637, 625, 236789, 236751, 711, 993, 236764, 1407, 786, 3361, 4852, 528, 506, 1638, 8038, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 5930, 236779, 547, 1083, 623, 236812, 236810, 236825, 236832, 236828, 827, 623, 1201, 1083, 623, 19574, 236759, 44805, 60361, 143092, 827, 623, 10618, 1083, 623, 39451, 77245, 827, 623, 9707, 1083, 236743, 236800, 236819, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 23179, 3714, 5930, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 46777, 10633, 80779, 827, 623, 10618, 1083, 623, 39451, 77245, 827, 623, 9707, 1083, 236743, 236770, 236812, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 23179, 3714, 5930, 236779, 547, 1083, 623, 236825, 236832, 236828, 236819, 236771, 827, 623, 1201, 1083, 623, 66649, 742, 26295, 8383, 827, 623, 10618, 1083, 623, 39451, 77245, 827, 623, 9707, 1083, 236743, 236812, 236819, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 23179, 3714, 5930, 236779, 547, 1083, 623, 236819, 236828, 236832, 236825, 236810, 827, 623, 1201, 1083, 623, 162526, 44813, 55598, 827, 623, 10618, 1083, 623, 215391, 827, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 23179, 3714, 5930, 236779, 547, 1083, 623, 236770, 236770, 236778, 236778, 236800, 827, 623, 1201, 1083, 623, 99176, 79156, 1898, 827, 623, 10618, 1083, 623, 39451, 77245, 827, 623, 9707, 1083, 236743, 236828, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 3949, 529, 13827, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 4408, 14767, 1208, 609, 236810, 236771, 600, 659, 528, 2862, 236787, 108, 236770, 236761, 5213, 19574, 236759, 44805, 60361, 143092, 1018, 568, 7163, 5853, 236787, 236743, 236812, 236810, 236825, 236832, 236828, 236768, 753, 609, 236800, 236819, 236761, 236819, 236819, 138, 107, 236778, 236761, 5213, 46777, 10633, 80779, 1018, 568, 7163, 5853, 236787, 236743, 236770, 236778, 236800, 236812, 236810, 236768, 753, 609, 236770, 236812, 236761, 236819, 236819, 138, 107, 236800, 236761, 5213, 66649, 742, 26295, 8383, 1018, 568, 7163, 5853, 236787, 236743, 236825, 236832, 236828, 236819, 236771, 236768, 753, 609, 236812, 236819, 236761, 236819, 236819, 138, 108, 240732, 5213, 7163, 5853, 236743, 236812, 236810, 236825, 236832, 236828, 1018, 563, 5012, 528, 672, 1694, 236761, 2301, 1202, 531, 2426, 573, 3361, 4852, 2338, 625, 236858, 236751, 3016, 2487, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 4087, 506, 4133, 9338, 529, 496, 20548, 7507, 600, 5569, 67325, 699, 506, 5348, 529, 21912, 236761, 9187, 684, 21558, 506, 7507, 236789, 236751, 5853, 699, 506, 4803, 97200, 1694, 236764, 1299, 33205, 1061, 7296, 34315, 532, 1873, 2939, 236761, 13472, 236764, 2426, 506, 4275, 16257, 2782, 657, 1061, 12892, 2411, 236761, 1637, 1027, 1938, 563, 9724, 653, 9825, 4583, 1913, 51139, 236764, 1161, 9302, 6436, 531, 5727, 528, 506, 28893, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 65758, 1264, 1083, 78493, 236766, 36977, 236779, 547, 1083, 623, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 236766, 36977, 236779, 1201, 1083, 623, 52048, 18414, 9290, 827, 623, 34598, 1083, 623, 88557, 236772, 40704, 827, 623, 4002, 236779, 3473, 1083, 3714, 37673, 1083, 236743, 236778, 236819, 236761, 236832, 236825, 236770, 236778, 236764, 623, 41713, 1083, 753, 236819, 236812, 236761, 236828, 236800, 236828, 236825, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236771, 236810, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 623, 1766, 236779, 34598, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 236766, 36977, 236779, 547, 1083, 623, 8394, 236798, 236825, 236832, 236828, 236819, 236771, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 236766, 36977, 236779, 1201, 1083, 623, 130384, 113813, 827, 623, 34598, 1083, 623, 11319, 236917, 236772, 3118, 827, 623, 4002, 236779, 3473, 1083, 3714, 37673, 1083, 236743, 236778, 236819, 236761, 236828, 236771, 236770, 236810, 236764, 623, 41713, 1083, 753, 236819, 236812, 236761, 236819, 236770, 236778, 236800, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236771, 236812, 236787, 236810, 236771, 236787, 236771, 236771, 236953, 23179, 623, 1766, 236779, 34598, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236812, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 45972, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 56220, 1083, 870, 236778, 236819, 236761, 236832, 236825, 236771, 236812, 236764, 753, 236819, 236810, 236761, 236800, 236825, 236819, 236828, 1604, 623, 11243, 1083, 236743, 236771, 236761, 236771, 236764, 623, 21279, 1083, 236743, 236771, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 56220, 1083, 870, 236778, 236819, 236761, 236828, 236770, 236778, 236800, 236764, 753, 236819, 236810, 236761, 236778, 236812, 236810, 236825, 1604, 623, 11243, 1083, 236743, 236770, 236812, 236761, 236778, 236764, 623, 21279, 1083, 236743, 236828, 236810, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236825, 236774, 236771, 236812, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 56220, 1083, 870, 236800, 236771, 236761, 236770, 236778, 236800, 236812, 236764, 753, 236819, 236812, 236761, 236828, 236832, 236825, 236810, 1604, 623, 11243, 1083, 236743, 236770, 236825, 236761, 236828, 236764, 623, 21279, 1083, 236743, 236819, 236778, 104960, 623, 4002, 236779, 3473, 1083, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236825, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 56220, 1083, 870, 236800, 236771, 236761, 236778, 236800, 236812, 236810, 236764, 753, 236819, 236812, 236761, 236832, 236828, 236819, 1604, 623, 11243, 1083, 236743, 236770, 236810, 236761, 236812, 236764, 623, 21279, 1083, 236743, 236819, 236810, 1263, 623, 34598, 1083, 3714, 728, 1083, 623, 8999, 529, 77148, 827, 623, 11990, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5976, 236779, 547, 1083, 623, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 827, 623, 5455, 236779, 3473, 1083, 3714, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236819, 236761, 236832, 236825, 236771, 236812, 236764, 623, 41713, 1083, 753, 236819, 236810, 236761, 236800, 236825, 236819, 236828, 1263, 623, 11243, 236779, 4312, 1498, 1083, 236743, 236770, 236812, 236761, 236810, 236764, 623, 21279, 236779, 64722, 1083, 236743, 236770, 236832, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 623, 728, 236779, 1340, 236779, 6639, 1083, 3714, 113130, 1083, 623, 8999, 529, 21912, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 34598, 1083, 623, 8999, 529, 77148, 827, 623, 51183, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11990, 236779, 86614, 1083, 78493, 236766, 36977, 236779, 547, 1083, 623, 52048, 236770, 236778, 236800, 236812, 236810, 827, 623, 51183, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 501, 9116, 827, 623, 39175, 1083, 623, 32889, 218500, 632, 23179, 3714, 236766, 36977, 236779, 547, 1083, 623, 52048, 236825, 236832, 236828, 236819, 236771, 827, 623, 51183, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 115668, 827, 623, 39175, 1083, 623, 18755, 527, 236766, 28950, 654, 25938, 1604, 623, 728, 236779, 13692, 236779, 4818, 1083, 623, 7382, 25938, 106, 107, 105, 4368, 107, 818, 9338, 529, 506, 20548, 7507, 5213, 52048, 18414, 9290, 568, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 62902, 236764, 837, 67325, 699, 506, 5213, 8999, 529, 21912, 568, 52907, 7328, 62902, 580, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 125546, 815, 1010, 20745, 68981, 618, 5238, 236787, 108, 10354, 236743, 236770, 236761, 5213, 125489, 833, 20879, 64608, 1018, 107, 236772, 5213, 125489, 7578, 66515, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 236761, 107, 236772, 5213, 54418, 66515, 5348, 529, 77148, 568, 88557, 236772, 40704, 779, 607, 614, 9460, 16257, 529, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 1018, 568, 5140, 580, 2411, 236779, 43852, 236779, 65758, 1264, 769, 108, 10354, 236743, 236778, 236761, 5213, 53145, 89254, 1018, 107, 236772, 34641, 10681, 568, 15218, 2165, 18101, 236779, 45972, 18833, 1407, 506, 7507, 236789, 236751, 9338, 699, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 1018, 95191, 236764, 2440, 236787, 107, 138, 236772, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 66515, 7945, 2926, 657, 21912, 568, 11243, 236787, 236743, 236771, 55717, 769, 107, 138, 236772, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 66515, 2358, 9116, 568, 11243, 236787, 236743, 236770, 236812, 236761, 236778, 55717, 236764, 16398, 236787, 236743, 236828, 236810, 237366, 769, 107, 138, 236772, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236825, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 66515, 11662, 9941, 2939, 568, 56220, 236787, 236743, 236800, 236771, 236761, 236778, 236800, 236812, 236810, 237366, 236797, 236764, 753, 236819, 236812, 236761, 236832, 236828, 236819, 236771, 237366, 236824, 236764, 4249, 236787, 236743, 236770, 236810, 236761, 236812, 55717, 236764, 16398, 236787, 236743, 236819, 236810, 237366, 769, 108, 10354, 236743, 236800, 236761, 5213, 8782, 27180, 1018, 107, 236772, 669, 6524, 3224, 2939, 568, 15218, 2165, 18101, 236779, 5455, 236779, 3473, 18833, 563, 5213, 236778, 236819, 236761, 236832, 236825, 236771, 236812, 237366, 236797, 236764, 753, 236819, 236810, 236761, 236800, 236825, 236819, 236828, 237366, 236824, 1018, 568, 24422, 236787, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 1018, 779, 16398, 5213, 236770, 236832, 236810, 237366, 1018, 657, 5213, 236770, 236812, 236761, 236810, 55717, 84750, 108, 10354, 236743, 236812, 236761, 5213, 54418, 5348, 18365, 1018, 107, 236772, 5213, 8999, 529, 77148, 568, 88557, 236772, 40704, 62902, 4275, 73046, 568, 15218, 2165, 728, 236779, 11990, 236779, 86614, 18833, 776, 5213, 2217, 1018, 1694, 5213, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 125546, 3635, 506, 7507, 236858, 236751, 34315, 532, 27197, 1262, 10128, 77148, 618, 1061, 12892, 236761, 1174, 59725, 1451, 10128, 236787, 107, 138, 236772, 562, 24701, 4610, 531, 506, 2411, 236858, 236751, 4275, 73046, 1694, 236761, 107, 138, 236772, 562, 3435, 2352, 528, 506, 7507, 236858, 236751, 76717, 568, 2217, 18367, 528, 21912, 236858, 236751, 27197, 1262, 769, 108, 10354, 91330, 236787, 107, 236772, 5213, 81933, 84076, 66515, 12713, 236772, 4256, 506, 7507, 236858, 236751, 12892, 607, 506, 15903, 653, 77148, 2411, 11787, 573, 12496, 236761, 107, 236772, 5213, 20235, 236772, 2866, 64608, 66515, 6890, 49094, 16074, 14175, 568, 236744, 236761, 236759, 1126, 20449, 60957, 236768, 531, 7020, 506, 7507, 236858, 236751, 3892, 2939, 768, 506, 3847, 6436, 6220, 872, 236772, 1071, 236772, 1896, 1262, 236761, 107, 236772, 5213, 8999, 103663, 66515, 13948, 77148, 5348, 19430, 573, 26093, 529, 16257, 30916, 653, 3435, 58889, 32293, 236761, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 11327, 9302, 6436, 653, 59638, 506, 3927, 236888, 236743, 249705, 106, 107, 105, 2364, 107, 818, 7507, 236789, 236751, 9338, 16074, 5072, 36289, 236761, 3792, 786, 37386, 236787, 236743, 236770, 236761, 5213, 7280, 125546, 1161, 2165, 18101, 236779, 16988, 236769, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 54557, 531, 9128, 506, 7507, 236789, 236751, 5213, 4002, 12892, 2411, 3393, 1018, 568, 511, 625, 2036, 112509, 236772, 40704, 653, 6692, 69458, 236743, 236778, 236761, 5213, 11407, 125546, 768, 506, 12892, 563, 10778, 618, 77148, 236764, 1161, 2165, 728, 236779, 11990, 236779, 86614, 236769, 40704, 88557, 54557, 607, 506, 4338, 2411, 3393, 531, 2426, 573, 506, 7507, 236789, 236751, 16257, 10368, 236761, 236743, 236800, 236761, 5213, 2859, 506, 7507, 5889, 236858, 236745, 9456, 125546, 1161, 2165, 18101, 236779, 16043, 236929, 531, 16807, 1061, 1759, 236772, 2289, 2939, 532, 16398, 568, 60766, 625, 90066, 769, 236743, 236812, 236761, 5213, 18664, 125546, 81715, 506, 59725, 1534, 506, 27197, 1262, 568, 110654, 236768, 532, 77148, 236858, 236751, 16257, 1694, 236761, 669, 1873, 34315, 3831, 506, 1774, 2939, 691, 9941, 5213, 15849, 27197, 1018, 568, 27393, 236743, 236770, 236810, 7728, 236761, 5261, 236743, 236770, 236819, 769, 32987, 672, 97592, 1171, 1699, 2165, 18101, 236779, 5455, 236779, 3473, 236769, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 54557, 607, 506, 4338, 31115, 236761, 3792, 786, 1281, 506, 33093, 2536, 236888, 236743, 249705, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5976, 236779, 547, 1083, 623, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 52048, 18414, 113813, 827, 623, 4002, 236779, 3473, 1083, 3714, 37673, 1083, 236743, 236778, 236819, 236761, 236832, 236825, 236770, 236778, 236764, 623, 41713, 1083, 753, 236819, 236810, 236761, 236800, 236825, 236770, 236828, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 4818, 1083, 623, 14713, 2677, 827, 623, 113130, 1083, 3714, 728, 1083, 623, 8999, 529, 21912, 827, 623, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236828, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 623, 34598, 1083, 3714, 728, 1083, 623, 8999, 529, 77148, 827, 623, 51183, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 623, 79205, 236779, 134878, 1083, 3714, 3119, 1083, 236743, 236800, 236771, 236771, 236764, 623, 50887, 1083, 236743, 236812, 236828, 236764, 623, 54565, 1083, 236743, 236770, 236810, 236761, 236778, 236764, 623, 2074, 236779, 11243, 1083, 236743, 236778, 236778, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 728, 236779, 547, 1083, 623, 40704, 88557, 827, 623, 11990, 236779, 86614, 1083, 78493, 236766, 36977, 236779, 547, 1083, 623, 236847, 236770, 236778, 236800, 236812, 236810, 827, 623, 51183, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 498, 236779, 41413, 827, 623, 138212, 236779, 2084, 1083, 623, 6955, 827, 623, 20205, 236779, 728, 1083, 623, 3118, 11319, 236917, 23179, 3714, 236766, 36977, 236779, 547, 1083, 623, 236847, 236825, 236832, 236828, 236819, 236771, 827, 623, 51183, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 115668, 827, 623, 138212, 236779, 2084, 1083, 623, 75633, 236779, 663, 827, 623, 20205, 236779, 728, 1083, 623, 5094, 53178, 25938, 1604, 623, 728, 236779, 13692, 236779, 4818, 1083, 623, 117468, 236779, 186347, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18101, 1083, 78493, 5976, 236779, 547, 1083, 623, 3118, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 3473, 1083, 3714, 37673, 1083, 236743, 236778, 236819, 236761, 236832, 236825, 236800, 236812, 236764, 623, 41713, 1083, 753, 236819, 236810, 236761, 236771, 236825, 236810, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 79722, 1083, 3714, 11243, 236779, 4312, 1498, 1083, 236743, 236770, 236778, 236761, 236810, 236764, 623, 17540, 236779, 64722, 1083, 236743, 236770, 236828, 236810, 1263, 623, 113130, 236779, 728, 1083, 623, 8999, 529, 21912, 827, 623, 34598, 236779, 728, 1083, 623, 8999, 529, 77148, 23179, 3714, 5976, 236779, 547, 1083, 623, 13831, 236828, 236828, 236778, 236800, 236770, 236771, 236819, 827, 623, 3473, 1083, 3714, 37673, 1083, 236743, 236778, 236819, 236761, 236828, 236771, 236770, 236778, 236764, 623, 41713, 1083, 753, 236819, 236810, 236761, 236770, 236778, 236832, 236828, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236810, 236787, 236771, 236771, 236953, 23179, 623, 79722, 1083, 3714, 11243, 236779, 4312, 1498, 1083, 236743, 236771, 236764, 623, 17540, 236779, 64722, 1083, 236743, 236771, 1263, 623, 113130, 236779, 728, 1083, 623, 8999, 529, 21912, 827, 623, 34598, 236779, 728, 1083, 623, 41387, 25938, 1604, 623, 3275, 236779, 21052, 1083, 3714, 35076, 236779, 5909, 1083, 236743, 236770, 236771, 236764, 623, 35990, 236779, 56220, 1083, 3714, 236781, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236764, 623, 236762, 1083, 236743, 236825, 236832, 236828, 236819, 236771, 236764, 623, 236802, 1083, 236743, 236770, 1263, 623, 6010, 236779, 27521, 1083, 623, 236800, 236771, 9093, 127096, 106, 107, 105, 4368, 107, 10354, 10867, 1718, 13768, 529, 5213, 52048, 18414, 113813, 568, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 62902, 50104, 138, 107, 16907, 22515, 580, 10448, 5904, 13630, 532, 2430, 215539, 12016, 138, 108, 7243, 108, 2595, 5213, 236770, 236761, 64063, 34588, 236789, 236751, 14040, 84076, 1018, 138, 107, 1018, 7741, 66515, 2165, 18101, 236779, 16988, 236769, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 54557, 138, 107, 1018, 4116, 66515, 138, 107, 236772, 5213, 8782, 84076, 66515, 5348, 529, 77148, 568, 40704, 88557, 779, 607, 10448, 129845, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 84750, 138, 107, 236772, 5213, 125489, 66515, 5348, 529, 21912, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236828, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 769, 138, 107, 236772, 5213, 9008, 27180, 66515, 236743, 236778, 236819, 236761, 236832, 236825, 236770, 236778, 237366, 236797, 236764, 753, 236819, 236810, 236761, 236800, 236825, 236770, 236828, 237366, 236824, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 779, 16398, 5213, 236770, 236828, 236810, 237366, 1018, 657, 5213, 236770, 236778, 236761, 236810, 55717, 84750, 138, 108, 1018, 30792, 66515, 669, 12892, 7474, 5213, 40704, 88557, 1018, 568, 21313, 70041, 779, 532, 506, 7507, 563, 696, 9116, 236761, 138, 108, 7243, 108, 2595, 5213, 236778, 236761, 7179, 77148, 236858, 236751, 69850, 213691, 1018, 138, 107, 1018, 7741, 66515, 2165, 728, 236779, 11990, 236779, 86614, 236769, 40704, 88557, 54557, 138, 107, 1018, 4116, 66515, 138, 107, 236772, 5213, 3771, 4241, 1018, 573, 782, 12747, 236770, 236778, 236800, 236812, 236810, 528, 77148, 236858, 236751, 4275, 73046, 1694, 236761, 138, 107, 236772, 5213, 13517, 171241, 66515, 8512, 19916, 9456, 568, 236847, 236770, 236778, 236800, 236812, 236810, 532, 782, 236825, 236832, 236828, 236819, 236771, 236768, 607, 38320, 5213, 3118, 11319, 236917, 1018, 532, 5213, 5094, 53178, 84750, 138, 108, 1018, 30792, 66515, 138, 107, 236772, 669, 7507, 236858, 236751, 129845, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 236768, 563, 5213, 2217, 3819, 18367, 1018, 528, 77148, 236858, 236751, 16257, 10368, 236761, 1174, 1451, 10128, 236787, 138, 107, 138, 236772, 562, 5213, 19792, 528, 1262, 53970, 1018, 1534, 3797, 236761, 138, 107, 138, 236772, 669, 7507, 236858, 236751, 129845, 563, 5213, 38574, 2793, 528, 506, 3402, 1018, 531, 3196, 528, 506, 2411, 236858, 236751, 1873, 1694, 236761, 138, 108, 7243, 108, 2595, 5213, 236800, 236761, 66636, 10170, 236772, 2866, 27180, 4323, 103116, 31574, 1018, 138, 107, 1018, 7741, 66515, 2165, 18101, 236779, 16043, 236769, 236781, 236784, 236770, 236778, 236800, 236812, 236810, 236764, 570, 236784, 236825, 236832, 236828, 236819, 236771, 236764, 904, 236784, 236770, 236764, 18384, 236784, 236770, 236771, 54557, 138, 107, 1018, 4116, 66515, 138, 107, 236772, 5213, 3771, 782, 12747, 236770, 236778, 236800, 236812, 236810, 1018, 528, 506, 34330, 21965, 236761, 138, 107, 236772, 5213, 13517, 119817, 66515, 2590, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 568, 21279, 531, 77148, 236768, 532, 27511, 236828, 236828, 236778, 236800, 236770, 236771, 236819, 568, 115774, 3541, 21912, 769, 138, 108, 1018, 30792, 66515, 138, 107, 236772, 669, 7507, 563, 5213, 2217, 528, 506, 34446, 34330, 21965, 84750, 9567, 1774, 3224, 2939, 568, 236778, 236819, 236761, 236832, 236825, 236770, 236778, 237366, 236797, 236764, 753, 236819, 236810, 236761, 236800, 236825, 236770, 236828, 237366, 236824, 236768, 12205, 625, 563, 2036, 3541, 21912, 236764, 9958, 607, 496, 4803, 27197, 568, 30651, 236743, 236810, 769, 138, 108, 7243, 108, 2595, 5213, 236812, 236761, 1276, 28438, 755, 89254, 799, 8902, 617, 5201, 1018, 138, 107, 1018, 66748, 66515, 56358, 34315, 1262, 6418, 10681, 699, 5213, 27393, 236743, 236770, 236810, 236964, 236770, 236825, 125546, 47341, 607, 506, 5365, 236743, 236810, 27197, 31115, 236761, 138, 107, 1018, 61651, 66515, 138, 107, 236772, 669, 2165, 18101, 236779, 45972, 236929, 1262, 691, 59891, 653, 21648, 236761, 138, 107, 236772, 669, 2165, 18101, 236779, 16988, 236929, 532, 2165, 18101, 236779, 5455, 236779, 3473, 236929, 13630, 9128, 496, 5213, 43852, 27197, 568, 30651, 236743, 236810, 62902, 532, 1759, 236772, 2289, 16074, 236761, 138, 108, 7243, 108, 10354, 16187, 25252, 138, 107, 236909, 5213, 73734, 1018, 151, 236909, 5213, 129647, 18365, 1018, 167, 167, 139, 236909, 107, 236909, 2819, 24912, 236909, 2819, 2819, 2819, 2819, 2819, 30104, 236909, 107, 236909, 5213, 8782, 27180, 1018, 142, 236909, 236743, 236778, 236819, 236761, 236832, 236825, 236770, 236778, 237366, 236797, 236764, 753, 236819, 236810, 236761, 236800, 236825, 236770, 236828, 237366, 236824, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 779, 16398, 236743, 236770, 236828, 236810, 237366, 657, 236743, 236770, 236778, 236761, 236810, 55717, 236761, 149, 236909, 107, 236909, 5213, 54418, 1018, 147, 236909, 5348, 529, 77148, 568, 40704, 88557, 779, 129845, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 84750, 165, 236909, 107, 236909, 5213, 21313, 70041, 111917, 4361, 1018, 236909, 5213, 4348, 3819, 9456, 1018, 568, 19609, 2779, 531, 129845, 1646, 236743, 236778, 5695, 3121, 653, 1262, 27674, 9249, 769, 143, 236909, 107, 236909, 5213, 94394, 62590, 1018, 141, 236909, 46030, 34315, 691, 59891, 236793, 18039, 580, 2165, 18101, 236779, 16988, 236929, 573, 1873, 4981, 236761, 146, 236909, 107, 236909, 5213, 9272, 50228, 1018, 148, 236909, 26295, 2165, 18101, 236779, 5455, 236779, 3473, 236929, 12532, 531, 129845, 653, 1161, 8398, 14175, 568, 236744, 236761, 236759, 1126, 20449, 60957, 236768, 573, 1759, 236772, 2289, 12496, 236761, 1109, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 59638, 506, 34330, 21965, 15375, 653, 2426, 2264, 5904, 236888, 236743, 249705, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 4087, 506, 4133, 9338, 529, 496, 20548, 7507, 600, 5569, 67325, 699, 506, 5348, 529, 21912, 236761, 9187, 684, 21558, 506, 7507, 236789, 236751, 5853, 699, 506, 4803, 97200, 1694, 236764, 1299, 33205, 1061, 7296, 34315, 532, 1873, 2939, 236761, 13472, 236764, 2426, 506, 4275, 16257, 2782, 657, 1061, 12892, 2411, 236761, 1637, 1027, 1938, 563, 9724, 653, 9825, 4583, 1913, 51139, 236764, 1161, 9302, 6436, 531, 5727, 528, 506, 28893, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 65758, 1264, 1083, 78493, 236766, 36977, 236779, 547, 1083, 623, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 236766, 36977, 236779, 1201, 1083, 623, 52048, 18414, 9290, 827, 623, 34598, 1083, 623, 88557, 236772, 40704, 827, 623, 4002, 236779, 3473, 1083, 3714, 37673, 1083, 236743, 236778, 236819, 236761, 236832, 236825, 236770, 236778, 236764, 623, 41713, 1083, 753, 236819, 236812, 236761, 236828, 236800, 236828, 236825, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236771, 236810, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 623, 1766, 236779, 34598, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 236766, 36977, 236779, 547, 1083, 623, 8394, 236798, 236825, 236832, 236828, 236819, 236771, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 236766, 36977, 236779, 1201, 1083, 623, 130384, 113813, 827, 623, 34598, 1083, 623, 11319, 236917, 236772, 3118, 827, 623, 4002, 236779, 3473, 1083, 3714, 37673, 1083, 236743, 236778, 236819, 236761, 236828, 236771, 236770, 236810, 236764, 623, 41713, 1083, 753, 236819, 236812, 236761, 236819, 236770, 236778, 236800, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236771, 236812, 236787, 236810, 236771, 236787, 236771, 236771, 236953, 23179, 623, 1766, 236779, 34598, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236812, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 45972, 1083, 78493, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 56220, 1083, 870, 236778, 236819, 236761, 236832, 236825, 236771, 236812, 236764, 753, 236819, 236810, 236761, 236800, 236825, 236819, 236828, 1604, 623, 11243, 1083, 236743, 236771, 236761, 236771, 236764, 623, 21279, 1083, 236743, 236771, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 56220, 1083, 870, 236778, 236819, 236761, 236828, 236770, 236778, 236800, 236764, 753, 236819, 236810, 236761, 236778, 236812, 236810, 236825, 1604, 623, 11243, 1083, 236743, 236770, 236812, 236761, 236778, 236764, 623, 21279, 1083, 236743, 236828, 236810, 1263, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236825, 236774, 236771, 236812, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 56220, 1083, 870, 236800, 236771, 236761, 236770, 236778, 236800, 236812, 236764, 753, 236819, 236812, 236761, 236828, 236832, 236825, 236810, 1604, 623, 11243, 1083, 236743, 236770, 236825, 236761, 236828, 236764, 623, 21279, 1083, 236743, 236819, 236778, 104960, 623, 4002, 236779, 3473, 1083, 3714, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236825, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 56220, 1083, 870, 236800, 236771, 236761, 236778, 236800, 236812, 236810, 236764, 753, 236819, 236812, 236761, 236832, 236828, 236819, 1604, 623, 11243, 1083, 236743, 236770, 236810, 236761, 236812, 236764, 623, 21279, 1083, 236743, 236819, 236810, 1263, 623, 34598, 1083, 3714, 728, 1083, 623, 8999, 529, 77148, 827, 623, 11990, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5976, 236779, 547, 1083, 623, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 827, 623, 5455, 236779, 3473, 1083, 3714, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236819, 236761, 236832, 236825, 236771, 236812, 236764, 623, 41713, 1083, 753, 236819, 236810, 236761, 236800, 236825, 236819, 236828, 1263, 623, 11243, 236779, 4312, 1498, 1083, 236743, 236770, 236812, 236761, 236810, 236764, 623, 21279, 236779, 64722, 1083, 236743, 236770, 236832, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 623, 728, 236779, 1340, 236779, 6639, 1083, 3714, 113130, 1083, 623, 8999, 529, 21912, 827, 623, 113130, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 34598, 1083, 623, 8999, 529, 77148, 827, 623, 51183, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11990, 236779, 86614, 1083, 78493, 236766, 36977, 236779, 547, 1083, 623, 52048, 236770, 236778, 236800, 236812, 236810, 827, 623, 51183, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 501, 9116, 827, 623, 39175, 1083, 623, 32889, 218500, 632, 23179, 3714, 236766, 36977, 236779, 547, 1083, 623, 52048, 236825, 236832, 236828, 236819, 236771, 827, 623, 51183, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 115668, 827, 623, 39175, 1083, 623, 18755, 527, 236766, 28950, 654, 25938, 1604, 623, 728, 236779, 13692, 236779, 4818, 1083, 623, 7382, 25938, 106, 107, 105, 4368, 107, 818, 9338, 529, 506, 20548, 7507, 5213, 52048, 18414, 9290, 568, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 62902, 236764, 837, 67325, 699, 506, 5213, 8999, 529, 21912, 568, 52907, 7328, 62902, 580, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 125546, 815, 1010, 20745, 68981, 618, 5238, 236787, 108, 10354, 236743, 236770, 236761, 5213, 125489, 833, 20879, 64608, 1018, 107, 236772, 5213, 125489, 7578, 66515, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 236761, 107, 236772, 5213, 54418, 66515, 5348, 529, 77148, 568, 88557, 236772, 40704, 779, 607, 614, 9460, 16257, 529, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 1018, 568, 5140, 580, 2411, 236779, 43852, 236779, 65758, 1264, 769, 108, 10354, 236743, 236778, 236761, 5213, 53145, 89254, 1018, 107, 236772, 34641, 10681, 568, 15218, 2165, 18101, 236779, 45972, 18833, 1407, 506, 7507, 236789, 236751, 9338, 699, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 1018, 95191, 236764, 2440, 236787, 107, 138, 236772, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 66515, 7945, 2926, 657, 21912, 568, 11243, 236787, 236743, 236771, 55717, 769, 107, 138, 236772, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 66515, 2358, 9116, 568, 11243, 236787, 236743, 236770, 236812, 236761, 236778, 55717, 236764, 16398, 236787, 236743, 236828, 236810, 237366, 769, 107, 138, 236772, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236825, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 66515, 11662, 9941, 2939, 568, 56220, 236787, 236743, 236800, 236771, 236761, 236778, 236800, 236812, 236810, 237366, 236797, 236764, 753, 236819, 236812, 236761, 236832, 236828, 236819, 236771, 237366, 236824, 236764, 4249, 236787, 236743, 236770, 236810, 236761, 236812, 55717, 236764, 16398, 236787, 236743, 236819, 236810, 237366, 769, 108, 10354, 236743, 236800, 236761, 5213, 8782, 27180, 1018, 107, 236772, 669, 6524, 3224, 2939, 568, 15218, 2165, 18101, 236779, 5455, 236779, 3473, 18833, 563, 5213, 236778, 236819, 236761, 236832, 236825, 236771, 236812, 237366, 236797, 236764, 753, 236819, 236810, 236761, 236800, 236825, 236819, 236828, 237366, 236824, 1018, 568, 24422, 236787, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 1018, 779, 16398, 5213, 236770, 236832, 236810, 237366, 1018, 657, 5213, 236770, 236812, 236761, 236810, 55717, 84750, 108, 10354, 236743, 236812, 236761, 5213, 54418, 5348, 18365, 1018, 107, 236772, 5213, 8999, 529, 77148, 568, 88557, 236772, 40704, 62902, 4275, 73046, 568, 15218, 2165, 728, 236779, 11990, 236779, 86614, 18833, 776, 5213, 2217, 1018, 1694, 5213, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 125546, 3635, 506, 7507, 236858, 236751, 34315, 532, 27197, 1262, 10128, 77148, 618, 1061, 12892, 236761, 1174, 59725, 1451, 10128, 236787, 107, 138, 236772, 562, 24701, 4610, 531, 506, 2411, 236858, 236751, 4275, 73046, 1694, 236761, 107, 138, 236772, 562, 3435, 2352, 528, 506, 7507, 236858, 236751, 76717, 568, 2217, 18367, 528, 21912, 236858, 236751, 27197, 1262, 769, 108, 10354, 91330, 236787, 107, 236772, 5213, 81933, 84076, 66515, 12713, 236772, 4256, 506, 7507, 236858, 236751, 12892, 607, 506, 15903, 653, 77148, 2411, 11787, 573, 12496, 236761, 107, 236772, 5213, 20235, 236772, 2866, 64608, 66515, 6890, 49094, 16074, 14175, 568, 236744, 236761, 236759, 1126, 20449, 60957, 236768, 531, 7020, 506, 7507, 236858, 236751, 3892, 2939, 768, 506, 3847, 6436, 6220, 872, 236772, 1071, 236772, 1896, 1262, 236761, 107, 236772, 5213, 8999, 103663, 66515, 13948, 77148, 5348, 19430, 573, 26093, 529, 16257, 30916, 653, 3435, 58889, 32293, 236761, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 11327, 9302, 6436, 653, 59638, 506, 3927, 236888, 236743, 249705, 106, 107, 105, 2364, 107, 818, 7507, 236789, 236751, 9338, 16074, 5072, 36289, 236761, 3792, 786, 37386, 236787, 236743, 236770, 236761, 5213, 7280, 125546, 1161, 2165, 18101, 236779, 16988, 236769, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 54557, 531, 9128, 506, 7507, 236789, 236751, 5213, 4002, 12892, 2411, 3393, 1018, 568, 511, 625, 2036, 112509, 236772, 40704, 653, 6692, 69458, 236743, 236778, 236761, 5213, 11407, 125546, 768, 506, 12892, 563, 10778, 618, 77148, 236764, 1161, 2165, 728, 236779, 11990, 236779, 86614, 236769, 40704, 88557, 54557, 607, 506, 4338, 2411, 3393, 531, 2426, 573, 506, 7507, 236789, 236751, 16257, 10368, 236761, 236743, 236800, 236761, 5213, 2859, 506, 7507, 5889, 236858, 236745, 9456, 125546, 1161, 2165, 18101, 236779, 16043, 236929, 531, 16807, 1061, 1759, 236772, 2289, 2939, 532, 16398, 568, 60766, 625, 90066, 769, 236743, 236812, 236761, 5213, 18664, 125546, 81715, 506, 59725, 1534, 506, 27197, 1262, 568, 110654, 236768, 532, 77148, 236858, 236751, 16257, 1694, 236761, 669, 1873, 34315, 3831, 506, 1774, 2939, 691, 9941, 5213, 15849, 27197, 1018, 568, 27393, 236743, 236770, 236810, 7728, 236761, 5261, 236743, 236770, 236819, 769, 32987, 672, 97592, 1171, 1699, 2165, 18101, 236779, 5455, 236779, 3473, 236769, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 54557, 607, 506, 4338, 31115, 236761, 3792, 786, 1281, 506, 33093, 2536, 236888, 236743, 249705, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5976, 236779, 547, 1083, 623, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 52048, 18414, 113813, 827, 623, 4002, 236779, 3473, 1083, 3714, 37673, 1083, 236743, 236778, 236819, 236761, 236832, 236825, 236770, 236778, 236764, 623, 41713, 1083, 753, 236819, 236810, 236761, 236800, 236825, 236770, 236828, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 4818, 1083, 623, 14713, 2677, 827, 623, 113130, 1083, 3714, 728, 1083, 623, 8999, 529, 21912, 827, 623, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236828, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 623, 34598, 1083, 3714, 728, 1083, 623, 8999, 529, 77148, 827, 623, 51183, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 623, 79205, 236779, 134878, 1083, 3714, 3119, 1083, 236743, 236800, 236771, 236771, 236764, 623, 50887, 1083, 236743, 236812, 236828, 236764, 623, 54565, 1083, 236743, 236770, 236810, 236761, 236778, 236764, 623, 2074, 236779, 11243, 1083, 236743, 236778, 236778, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 728, 236779, 547, 1083, 623, 40704, 88557, 827, 623, 11990, 236779, 86614, 1083, 78493, 236766, 36977, 236779, 547, 1083, 623, 236847, 236770, 236778, 236800, 236812, 236810, 827, 623, 51183, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 498, 236779, 41413, 827, 623, 138212, 236779, 2084, 1083, 623, 6955, 827, 623, 20205, 236779, 728, 1083, 623, 3118, 11319, 236917, 23179, 3714, 236766, 36977, 236779, 547, 1083, 623, 236847, 236825, 236832, 236828, 236819, 236771, 827, 623, 51183, 236779, 46353, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 115668, 827, 623, 138212, 236779, 2084, 1083, 623, 75633, 236779, 663, 827, 623, 20205, 236779, 728, 1083, 623, 5094, 53178, 25938, 1604, 623, 728, 236779, 13692, 236779, 4818, 1083, 623, 117468, 236779, 186347, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18101, 1083, 78493, 5976, 236779, 547, 1083, 623, 3118, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 3473, 1083, 3714, 37673, 1083, 236743, 236778, 236819, 236761, 236832, 236825, 236800, 236812, 236764, 623, 41713, 1083, 753, 236819, 236810, 236761, 236771, 236825, 236810, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 79722, 1083, 3714, 11243, 236779, 4312, 1498, 1083, 236743, 236770, 236778, 236761, 236810, 236764, 623, 17540, 236779, 64722, 1083, 236743, 236770, 236828, 236810, 1263, 623, 113130, 236779, 728, 1083, 623, 8999, 529, 21912, 827, 623, 34598, 236779, 728, 1083, 623, 8999, 529, 77148, 23179, 3714, 5976, 236779, 547, 1083, 623, 13831, 236828, 236828, 236778, 236800, 236770, 236771, 236819, 827, 623, 3473, 1083, 3714, 37673, 1083, 236743, 236778, 236819, 236761, 236828, 236771, 236770, 236778, 236764, 623, 41713, 1083, 753, 236819, 236810, 236761, 236770, 236778, 236832, 236828, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236810, 236787, 236771, 236771, 236953, 23179, 623, 79722, 1083, 3714, 11243, 236779, 4312, 1498, 1083, 236743, 236771, 236764, 623, 17540, 236779, 64722, 1083, 236743, 236771, 1263, 623, 113130, 236779, 728, 1083, 623, 8999, 529, 21912, 827, 623, 34598, 236779, 728, 1083, 623, 41387, 25938, 1604, 623, 3275, 236779, 21052, 1083, 3714, 35076, 236779, 5909, 1083, 236743, 236770, 236771, 236764, 623, 35990, 236779, 56220, 1083, 3714, 236781, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236764, 623, 236762, 1083, 236743, 236825, 236832, 236828, 236819, 236771, 236764, 623, 236802, 1083, 236743, 236770, 1263, 623, 6010, 236779, 27521, 1083, 623, 236800, 236771, 9093, 127096, 106, 107, 105, 4368, 107, 10354, 10867, 1718, 13768, 529, 5213, 52048, 18414, 113813, 568, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 62902, 50104, 138, 107, 16907, 22515, 580, 10448, 5904, 13630, 532, 2430, 215539, 12016, 138, 108, 7243, 108, 2595, 5213, 236770, 236761, 64063, 34588, 236789, 236751, 14040, 84076, 1018, 138, 107, 1018, 7741, 66515, 2165, 18101, 236779, 16988, 236769, 8394, 236798, 236770, 236778, 236800, 236812, 236810, 54557, 138, 107, 1018, 4116, 66515, 138, 107, 236772, 5213, 8782, 84076, 66515, 5348, 529, 77148, 568, 40704, 88557, 779, 607, 10448, 129845, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 84750, 138, 107, 236772, 5213, 125489, 66515, 5348, 529, 21912, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236828, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 769, 138, 107, 236772, 5213, 9008, 27180, 66515, 236743, 236778, 236819, 236761, 236832, 236825, 236770, 236778, 237366, 236797, 236764, 753, 236819, 236810, 236761, 236800, 236825, 236770, 236828, 237366, 236824, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 779, 16398, 5213, 236770, 236828, 236810, 237366, 1018, 657, 5213, 236770, 236778, 236761, 236810, 55717, 84750, 138, 108, 1018, 30792, 66515, 669, 12892, 7474, 5213, 40704, 88557, 1018, 568, 21313, 70041, 779, 532, 506, 7507, 563, 696, 9116, 236761, 138, 108, 7243, 108, 2595, 5213, 236778, 236761, 7179, 77148, 236858, 236751, 69850, 213691, 1018, 138, 107, 1018, 7741, 66515, 2165, 728, 236779, 11990, 236779, 86614, 236769, 40704, 88557, 54557, 138, 107, 1018, 4116, 66515, 138, 107, 236772, 5213, 3771, 4241, 1018, 573, 782, 12747, 236770, 236778, 236800, 236812, 236810, 528, 77148, 236858, 236751, 4275, 73046, 1694, 236761, 138, 107, 236772, 5213, 13517, 171241, 66515, 8512, 19916, 9456, 568, 236847, 236770, 236778, 236800, 236812, 236810, 532, 782, 236825, 236832, 236828, 236819, 236771, 236768, 607, 38320, 5213, 3118, 11319, 236917, 1018, 532, 5213, 5094, 53178, 84750, 138, 108, 1018, 30792, 66515, 138, 107, 236772, 669, 7507, 236858, 236751, 129845, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 236768, 563, 5213, 2217, 3819, 18367, 1018, 528, 77148, 236858, 236751, 16257, 10368, 236761, 1174, 1451, 10128, 236787, 138, 107, 138, 236772, 562, 5213, 19792, 528, 1262, 53970, 1018, 1534, 3797, 236761, 138, 107, 138, 236772, 669, 7507, 236858, 236751, 129845, 563, 5213, 38574, 2793, 528, 506, 3402, 1018, 531, 3196, 528, 506, 2411, 236858, 236751, 1873, 1694, 236761, 138, 108, 7243, 108, 2595, 5213, 236800, 236761, 66636, 10170, 236772, 2866, 27180, 4323, 103116, 31574, 1018, 138, 107, 1018, 7741, 66515, 2165, 18101, 236779, 16043, 236769, 236781, 236784, 236770, 236778, 236800, 236812, 236810, 236764, 570, 236784, 236825, 236832, 236828, 236819, 236771, 236764, 904, 236784, 236770, 236764, 18384, 236784, 236770, 236771, 54557, 138, 107, 1018, 4116, 66515, 138, 107, 236772, 5213, 3771, 782, 12747, 236770, 236778, 236800, 236812, 236810, 1018, 528, 506, 34330, 21965, 236761, 138, 107, 236772, 5213, 13517, 119817, 66515, 2590, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 568, 21279, 531, 77148, 236768, 532, 27511, 236828, 236828, 236778, 236800, 236770, 236771, 236819, 568, 115774, 3541, 21912, 769, 138, 108, 1018, 30792, 66515, 138, 107, 236772, 669, 7507, 563, 5213, 2217, 528, 506, 34446, 34330, 21965, 84750, 9567, 1774, 3224, 2939, 568, 236778, 236819, 236761, 236832, 236825, 236770, 236778, 237366, 236797, 236764, 753, 236819, 236810, 236761, 236800, 236825, 236770, 236828, 237366, 236824, 236768, 12205, 625, 563, 2036, 3541, 21912, 236764, 9958, 607, 496, 4803, 27197, 568, 30651, 236743, 236810, 769, 138, 108, 7243, 108, 2595, 5213, 236812, 236761, 1276, 28438, 755, 89254, 799, 8902, 617, 5201, 1018, 138, 107, 1018, 66748, 66515, 56358, 34315, 1262, 6418, 10681, 699, 5213, 27393, 236743, 236770, 236810, 236964, 236770, 236825, 125546, 47341, 607, 506, 5365, 236743, 236810, 27197, 31115, 236761, 138, 107, 1018, 61651, 66515, 138, 107, 236772, 669, 2165, 18101, 236779, 45972, 236929, 1262, 691, 59891, 653, 21648, 236761, 138, 107, 236772, 669, 2165, 18101, 236779, 16988, 236929, 532, 2165, 18101, 236779, 5455, 236779, 3473, 236929, 13630, 9128, 496, 5213, 43852, 27197, 568, 30651, 236743, 236810, 62902, 532, 1759, 236772, 2289, 16074, 236761, 138, 108, 7243, 108, 10354, 16187, 25252, 138, 107, 236909, 5213, 73734, 1018, 151, 236909, 5213, 129647, 18365, 1018, 167, 167, 139, 236909, 107, 236909, 2819, 24912, 236909, 2819, 2819, 2819, 2819, 2819, 30104, 236909, 107, 236909, 5213, 8782, 27180, 1018, 142, 236909, 236743, 236778, 236819, 236761, 236832, 236825, 236770, 236778, 237366, 236797, 236764, 753, 236819, 236810, 236761, 236800, 236825, 236770, 236828, 237366, 236824, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 779, 16398, 236743, 236770, 236828, 236810, 237366, 657, 236743, 236770, 236778, 236761, 236810, 55717, 236761, 149, 236909, 107, 236909, 5213, 54418, 1018, 147, 236909, 5348, 529, 77148, 568, 40704, 88557, 779, 129845, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 84750, 165, 236909, 107, 236909, 5213, 21313, 70041, 111917, 4361, 1018, 236909, 5213, 4348, 3819, 9456, 1018, 568, 19609, 2779, 531, 129845, 1646, 236743, 236778, 5695, 3121, 653, 1262, 27674, 9249, 769, 143, 236909, 107, 236909, 5213, 94394, 62590, 1018, 141, 236909, 46030, 34315, 691, 59891, 236793, 18039, 580, 2165, 18101, 236779, 16988, 236929, 573, 1873, 4981, 236761, 146, 236909, 107, 236909, 5213, 9272, 50228, 1018, 148, 236909, 26295, 2165, 18101, 236779, 5455, 236779, 3473, 236929, 12532, 531, 129845, 653, 1161, 8398, 14175, 568, 236744, 236761, 236759, 1126, 20449, 60957, 236768, 573, 1759, 236772, 2289, 12496, 236761, 1109, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 59638, 506, 34330, 21965, 15375, 653, 2426, 2264, 5904, 236888, 236743, 249705, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 3914, 2260, 22344, 653, 2802, 8398, 22479, 3797, 236761, 3551, 1873, 15858, 659, 5809, 531, 31236, 22086, 1534, 11024, 1699, 910, 42442, 15375, 236761, 1637, 611, 1202, 1601, 31236, 506, 5149, 1534, 1799, 3773, 532, 5860, 236764, 564, 740, 6361, 607, 600, 768, 611, 2847, 910, 40899, 532, 50550, 15375, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 3914, 2260, 22344, 653, 2802, 8398, 22479, 3797, 236761, 3551, 1873, 15858, 659, 5809, 531, 31236, 22086, 1534, 11024, 1699, 910, 42442, 15375, 236761, 1637, 611, 1202, 1601, 31236, 506, 5149, 1534, 1799, 3773, 532, 5860, 236764, 564, 740, 6361, 607, 600, 768, 611, 2847, 910, 40899, 532, 50550, 15375, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2619, 496, 44426, 3393, 573, 1041, 16038, 21568, 14049, 1012, 15020, 3104, 236764, 840, 564, 1461, 625, 531, 3204, 496, 10795, 3205, 600, 16710, 837, 3399, 16545, 13952, 625, 236761, 5315, 236764, 8729, 496, 3225, 10739, 607, 496, 17709, 573, 16074, 6137, 236764, 1299, 2619, 496, 44426, 3393, 600, 97303, 672, 10739, 236761, 3026, 5026, 48158, 625, 236764, 506, 16074, 7689, 1374, 577, 40329, 11269, 2721, 580, 506, 4563, 529, 506, 13952, 236761, 3199, 611, 6060, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 48203, 236779, 3970, 236779, 2451, 1083, 623, 2574, 1411, 21122, 236761, 8358, 236761, 854, 236786, 48203, 236779, 38548, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 5067, 827, 623, 32626, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 12884, 236881, 7125, 2638, 37939, 236779, 3873, 21245, 623, 4375, 1083, 623, 38943, 3393, 7835, 10428, 607, 10795, 16074, 7689, 17709, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 10795, 44426, 3393, 10884, 573, 16074, 3399, 3988, 48158, 236787, 108, 236770, 236761, 5213, 8728, 10739, 607, 64608, 152369, 66515, 138, 107, 139, 236929, 2574, 1411, 8358, 236761, 854, 236786, 12884, 236881, 7125, 2638, 37939, 236779, 3873, 9528, 138, 107, 139, 16907, 42762, 169086, 37939, 236779, 3873, 9528, 607, 4709, 104026, 1133, 623, 158058, 236779, 7765, 236775, 653, 623, 27630, 508, 236779, 3949, 79790, 236775, 1056, 76702, 12016, 108, 236778, 236761, 5213, 38943, 8739, 9466, 66515, 138, 107, 139, 24960, 50327, 44426, 8739, 5457, 2574, 1411, 21122, 236761, 8358, 236761, 854, 236786, 48203, 236779, 38548, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 5067, 236768, 138, 107, 139, 16907, 3900, 743, 795, 11269, 17366, 506, 9155, 4563, 7689, 12016, 108, 1018, 3910, 531, 6890, 66515, 138, 107, 236772, 13105, 236786, 7861, 3525, 672, 44426, 3393, 528, 822, 3399, 16545, 236761, 138, 107, 236772, 13677, 29436, 236764, 9883, 169086, 37939, 236779, 3873, 9528, 528, 506, 10739, 607, 496, 4709, 31744, 573, 1546, 4563, 568, 236744, 236761, 236759, 1126, 2165, 236881, 7125, 236784, 158058, 236779, 7765, 59395, 138, 107, 236772, 3026, 57418, 236764, 506, 16074, 7689, 795, 577, 40329, 531, 506, 15020, 10739, 236764, 10678, 611, 531, 8701, 506, 3738, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 4767, 188616, 236888, 236743, 254089, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2619, 496, 44426, 3393, 573, 1041, 16038, 21568, 14049, 1012, 15020, 3104, 236764, 840, 564, 1461, 625, 531, 3204, 496, 10795, 3205, 600, 16710, 837, 3399, 16545, 13952, 625, 236761, 5315, 236764, 8729, 496, 3225, 10739, 607, 496, 17709, 573, 16074, 6137, 236764, 1299, 2619, 496, 44426, 3393, 600, 97303, 672, 10739, 236761, 3026, 5026, 48158, 625, 236764, 506, 16074, 7689, 1374, 577, 40329, 11269, 2721, 580, 506, 4563, 529, 506, 13952, 236761, 3199, 611, 6060, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 48203, 236779, 3970, 236779, 2451, 1083, 623, 2574, 1411, 21122, 236761, 8358, 236761, 854, 236786, 48203, 236779, 38548, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 5067, 827, 623, 32626, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 12884, 236881, 7125, 2638, 37939, 236779, 3873, 21245, 623, 4375, 1083, 623, 38943, 3393, 7835, 10428, 607, 10795, 16074, 7689, 17709, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 10795, 44426, 3393, 10884, 573, 16074, 3399, 3988, 48158, 236787, 108, 236770, 236761, 5213, 8728, 10739, 607, 64608, 152369, 66515, 138, 107, 139, 236929, 2574, 1411, 8358, 236761, 854, 236786, 12884, 236881, 7125, 2638, 37939, 236779, 3873, 9528, 138, 107, 139, 16907, 42762, 169086, 37939, 236779, 3873, 9528, 607, 4709, 104026, 1133, 623, 158058, 236779, 7765, 236775, 653, 623, 27630, 508, 236779, 3949, 79790, 236775, 1056, 76702, 12016, 108, 236778, 236761, 5213, 38943, 8739, 9466, 66515, 138, 107, 139, 24960, 50327, 44426, 8739, 5457, 2574, 1411, 21122, 236761, 8358, 236761, 854, 236786, 48203, 236779, 38548, 236786, 97688, 236832, 236828, 236778, 236800, 236761, 5067, 236768, 138, 107, 139, 16907, 3900, 743, 795, 11269, 17366, 506, 9155, 4563, 7689, 12016, 108, 1018, 3910, 531, 6890, 66515, 138, 107, 236772, 13105, 236786, 7861, 3525, 672, 44426, 3393, 528, 822, 3399, 16545, 236761, 138, 107, 236772, 13677, 29436, 236764, 9883, 169086, 37939, 236779, 3873, 9528, 528, 506, 10739, 607, 496, 4709, 31744, 573, 1546, 4563, 568, 236744, 236761, 236759, 1126, 2165, 236881, 7125, 236784, 158058, 236779, 7765, 59395, 138, 107, 236772, 3026, 57418, 236764, 506, 16074, 7689, 795, 577, 40329, 531, 506, 15020, 10739, 236764, 10678, 611, 531, 8701, 506, 3738, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 4767, 188616, 236888, 236743, 254089, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 4087, 1679, 496, 14268, 912, 573, 614, 2255, 7884, 564, 236789, 236757, 34031, 753, 496, 32393, 751, 15378, 236772, 236800, 236828, 236771, 2028, 236761, 669, 2263, 7805, 5877, 786, 614, 9447, 1204, 236787, 603, 236771, 236771, 54283, 236770, 236778, 236800, 236764, 840, 564, 236789, 236757, 711, 2889, 768, 600, 236789, 236751, 4338, 236761, 3199, 611, 2426, 9593, 236789, 236751, 15830, 573, 600, 9447, 1204, 236881, 1637, 625, 236789, 236751, 6133, 236764, 564, 236789, 859, 1202, 531, 1586, 2264, 1595, 531, 3738, 506, 912, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 7163, 711, 1765, 827, 623, 13308, 1083, 3714, 4375, 1083, 623, 818, 9447, 1204, 603, 236771, 236771, 54283, 236770, 236778, 236800, 1677, 711, 4241, 1027, 5158, 3211, 580, 9593, 2590, 236761, 1174, 1149, 10128, 614, 21648, 653, 59891, 9447, 1204, 236761, 14066, 92578, 607, 506, 14202, 653, 1699, 9593, 236789, 236751, 3927, 18774, 531, 29888, 506, 4338, 32393, 751, 15378, 236772, 236800, 236828, 236771, 14268, 912, 1781, 1807, 106, 107, 105, 4368, 107, 818, 9447, 1204, 603, 236771, 236771, 54283, 236770, 236778, 236800, 1677, 711, 10571, 531, 1027, 5158, 3211, 580, 9593, 2590, 236764, 837, 12205, 506, 2263, 7805, 1149, 735, 3847, 614, 21648, 653, 59891, 31744, 236761, 5715, 236789, 236751, 1217, 531, 7162, 236787, 108, 236770, 236761, 5213, 81933, 607, 91054, 66515, 7179, 32393, 236789, 5125, 4456, 653, 3662, 910, 1894, 2434, 531, 9128, 506, 4338, 912, 1548, 573, 822, 751, 15378, 236772, 236800, 236828, 236771, 2028, 236761, 108, 236778, 236761, 5213, 39460, 12808, 34428, 66515, 107, 139, 236772, 6890, 30154, 1133, 623, 127217, 751, 15378, 236772, 236800, 236828, 236771, 14268, 870, 15396, 912, 1463, 236786, 5640, 50190, 107, 139, 236772, 28293, 2536, 684, 623, 4199, 236775, 532, 623, 178463, 699, 9593, 236761, 854, 236775, 573, 21016, 107, 139, 236772, 7179, 37031, 23003, 528, 1698, 29141, 108, 236800, 236761, 5213, 93993, 49174, 66515, 107, 139, 236772, 12808, 55578, 653, 24576, 31182, 11790, 46318, 107, 139, 236772, 15325, 9593, 7449, 568, 23019, 236761, 30053, 236761, 854, 236768, 573, 8459, 4688, 107, 139, 236772, 14066, 14956, 14268, 4688, 768, 2028, 236772, 15396, 5906, 659, 47713, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236768, 12808, 9593, 573, 32393, 751, 15378, 236772, 236800, 236828, 236771, 4688, 1699, 9302, 30154, 236881, 107, 236778, 236768, 11696, 872, 32393, 236789, 5125, 3662, 1938, 236881, 107, 236800, 236768, 7179, 55578, 38332, 573, 672, 912, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 4087, 1679, 496, 14268, 912, 573, 614, 2255, 7884, 564, 236789, 236757, 34031, 753, 496, 32393, 751, 15378, 236772, 236800, 236828, 236771, 2028, 236761, 669, 2263, 7805, 5877, 786, 614, 9447, 1204, 236787, 603, 236771, 236771, 54283, 236770, 236778, 236800, 236764, 840, 564, 236789, 236757, 711, 2889, 768, 600, 236789, 236751, 4338, 236761, 3199, 611, 2426, 9593, 236789, 236751, 15830, 573, 600, 9447, 1204, 236881, 1637, 625, 236789, 236751, 6133, 236764, 564, 236789, 859, 1202, 531, 1586, 2264, 1595, 531, 3738, 506, 912, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 7163, 711, 1765, 827, 623, 13308, 1083, 3714, 4375, 1083, 623, 818, 9447, 1204, 603, 236771, 236771, 54283, 236770, 236778, 236800, 1677, 711, 4241, 1027, 5158, 3211, 580, 9593, 2590, 236761, 1174, 1149, 10128, 614, 21648, 653, 59891, 9447, 1204, 236761, 14066, 92578, 607, 506, 14202, 653, 1699, 9593, 236789, 236751, 3927, 18774, 531, 29888, 506, 4338, 32393, 751, 15378, 236772, 236800, 236828, 236771, 14268, 912, 1781, 1807, 106, 107, 105, 4368, 107, 818, 9447, 1204, 603, 236771, 236771, 54283, 236770, 236778, 236800, 1677, 711, 10571, 531, 1027, 5158, 3211, 580, 9593, 2590, 236764, 837, 12205, 506, 2263, 7805, 1149, 735, 3847, 614, 21648, 653, 59891, 31744, 236761, 5715, 236789, 236751, 1217, 531, 7162, 236787, 108, 236770, 236761, 5213, 81933, 607, 91054, 66515, 7179, 32393, 236789, 5125, 4456, 653, 3662, 910, 1894, 2434, 531, 9128, 506, 4338, 912, 1548, 573, 822, 751, 15378, 236772, 236800, 236828, 236771, 2028, 236761, 108, 236778, 236761, 5213, 39460, 12808, 34428, 66515, 107, 139, 236772, 6890, 30154, 1133, 623, 127217, 751, 15378, 236772, 236800, 236828, 236771, 14268, 870, 15396, 912, 1463, 236786, 5640, 50190, 107, 139, 236772, 28293, 2536, 684, 623, 4199, 236775, 532, 623, 178463, 699, 9593, 236761, 854, 236775, 573, 21016, 107, 139, 236772, 7179, 37031, 23003, 528, 1698, 29141, 108, 236800, 236761, 5213, 93993, 49174, 66515, 107, 139, 236772, 12808, 55578, 653, 24576, 31182, 11790, 46318, 107, 139, 236772, 15325, 9593, 7449, 568, 23019, 236761, 30053, 236761, 854, 236768, 573, 8459, 4688, 107, 139, 236772, 14066, 14956, 14268, 4688, 768, 2028, 236772, 15396, 5906, 659, 47713, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236768, 12808, 9593, 573, 32393, 751, 15378, 236772, 236800, 236828, 236771, 4688, 1699, 9302, 30154, 236881, 107, 236778, 236768, 11696, 872, 32393, 236789, 5125, 3662, 1938, 236881, 107, 236800, 236768, 7179, 55578, 38332, 573, 672, 912, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 1601, 26231, 1262, 580, 1023, 1873, 7073, 20329, 506, 81727, 4085, 10353, 42267, 15467, 236761, 1191, 236789, 500, 28307, 30992, 18124, 236743, 236778, 236810, 236772, 236812, 236810, 528, 81727, 4085, 532, 506, 12989, 25432, 236764, 607, 9735, 19388, 4710, 236743, 236770, 236771, 8151, 531, 236743, 236828, 8711, 236761, 1030, 12073, 1156, 3794, 4578, 532, 563, 2036, 5158, 236761, 564, 1461, 531, 10769, 1061, 15154, 19455, 531, 506, 3527, 2260, 5975, 2460, 7073, 236761, 3199, 611, 33205, 506, 9813, 3736, 8283, 1699, 506, 5904, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 236774, 11314, 17698, 25174, 151218, 135673, 236778, 236771, 236778, 236800, 827, 623, 4818, 1083, 623, 5034, 827, 623, 152303, 236779, 223205, 1083, 3714, 10258, 50376, 1083, 3714, 676, 1083, 623, 236778, 236810, 236772, 236812, 236810, 827, 623, 7125, 1083, 623, 236774, 11314, 4085, 236764, 13574, 827, 623, 188357, 1083, 11058, 17625, 27830, 827, 623, 6047, 4749, 1935, 5237, 623, 234863, 236779, 675, 34030, 1083, 11058, 236774, 11314, 4085, 827, 623, 13279, 142330, 25432, 14255, 623, 32677, 236779, 29263, 1083, 3714, 133319, 878, 1083, 236743, 236770, 236828, 236819, 236771, 236771, 236771, 236764, 623, 227295, 1083, 236743, 236770, 236778, 236832, 236810, 236771, 236764, 623, 114108, 1083, 623, 236825, 236761, 236832, 236810, 70887, 623, 92506, 236779, 4720, 1083, 623, 236828, 236761, 236778, 70887, 623, 746, 58555, 1083, 236743, 236778, 236770, 236810, 236771, 1263, 623, 81907, 236779, 4818, 1083, 3714, 41413, 1083, 623, 27962, 2068, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236828, 236787, 236771, 236771, 8711, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 51128, 236779, 54023, 1083, 6610, 236828, 236764, 236778, 236771, 236771, 23179, 623, 88933, 236779, 1071, 236779, 32136, 1083, 3714, 32136, 236779, 80158, 1083, 623, 9020, 9055, 12209, 236743, 236778, 236771, 236778, 236800, 827, 623, 92506, 236779, 16417, 1083, 10955, 236778, 236761, 236770, 70887, 623, 69930, 236779, 16417, 1083, 10955, 236770, 236810, 38032, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 236774, 11314, 17698, 9020, 51771, 3500, 236778, 236771, 236778, 236800, 827, 623, 4818, 1083, 623, 106177, 827, 623, 81907, 236779, 4818, 1083, 623, 50522, 618, 14812, 827, 623, 152303, 236779, 223205, 1083, 3714, 10258, 50376, 1083, 3714, 676, 1083, 623, 236778, 236810, 236772, 236812, 236810, 827, 623, 7125, 1083, 623, 236774, 11314, 4085, 236764, 13574, 833, 12989, 25432, 236775, 5237, 623, 41413, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236800, 236771, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 553, 236779, 24392, 1083, 623, 27962, 2068, 236743, 236770, 236771, 236787, 236771, 236771, 236772, 236778, 236771, 236787, 236771, 236771, 2263, 990, 23179, 623, 32677, 236779, 29263, 1083, 3714, 133319, 878, 1083, 236743, 236770, 236828, 236819, 236778, 236800, 236832, 236764, 623, 227295, 1083, 236743, 236812, 236810, 236778, 236770, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236778, 236761, 236800, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236825, 236761, 236828, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236771, 236761, 236812, 236778, 236764, 623, 6725, 236779, 141249, 1083, 236743, 236770, 236828, 236819, 236828, 236761, 236825, 236812, 1263, 623, 88933, 236779, 1071, 236779, 32136, 1083, 3714, 32136, 236779, 80158, 236779, 547, 1083, 623, 236774, 11314, 17698, 25174, 151218, 135673, 236778, 236771, 236778, 236800, 827, 623, 30226, 236779, 32677, 1083, 3714, 227295, 1083, 623, 236770, 236810, 236908, 3715, 827, 623, 69930, 236779, 4720, 1083, 623, 236828, 236908, 3718, 827, 623, 13769, 236779, 721, 236779, 4513, 1083, 623, 236770, 236778, 236908, 3718, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 3671, 529, 1800, 24742, 236787, 108, 1018, 236774, 11314, 4085, 10353, 42267, 15467, 568, 14009, 62902, 107, 236772, 5213, 10206, 522, 66515, 236743, 236778, 236810, 236772, 236812, 236810, 1051, 109217, 528, 81727, 4085, 900, 12989, 25432, 107, 236772, 5213, 39656, 66515, 13444, 2068, 236743, 236770, 236771, 8151, 753, 236743, 236828, 8711, 1343, 6384, 236743, 236800, 236770, 540, 107, 236772, 5213, 52277, 568, 25142, 4655, 236743, 236770, 236810, 8912, 62902, 236787, 107, 138, 236772, 236743, 236770, 236828, 236819, 236764, 236771, 236771, 236771, 52547, 107, 138, 236772, 236743, 236770, 236778, 236764, 236832, 236810, 236771, 44495, 568, 236825, 236761, 236832, 236810, 236908, 86239, 236768, 107, 138, 236772, 236743, 236828, 236761, 236778, 236908, 15154, 3136, 107, 138, 236772, 236743, 236778, 236764, 236770, 236810, 236771, 63680, 107, 138, 236772, 609, 236828, 236764, 236778, 236771, 236771, 7715, 9866, 108, 1018, 9020, 9055, 12209, 568, 50522, 62902, 107, 236772, 5213, 10206, 522, 66515, 28257, 236743, 236778, 236810, 236772, 236812, 236810, 46144, 528, 1638, 4128, 107, 236772, 5213, 39656, 66515, 3353, 236772, 27403, 38025, 568, 31159, 236743, 236770, 236771, 8151, 753, 236743, 236828, 8711, 4771, 236768, 107, 236772, 5213, 52277, 66515, 107, 138, 236772, 236743, 236770, 236828, 236819, 236764, 236778, 236800, 236832, 52547, 107, 138, 236772, 236743, 236812, 236764, 236810, 236778, 236770, 44495, 568, 236778, 236761, 236800, 236908, 14274, 3136, 236768, 107, 138, 236772, 236743, 236825, 236761, 236828, 236908, 15154, 3136, 107, 138, 236772, 609, 236770, 236764, 236828, 236819, 236828, 236761, 236825, 236812, 2558, 8559, 6131, 236771, 236761, 236812, 236778, 107964, 236768, 108, 1018, 3503, 141399, 1018, 107, 236770, 236761, 5213, 227187, 66515, 10353, 42267, 7073, 3831, 236743, 236778, 236761, 236770, 236908, 3715, 15154, 3136, 107, 236778, 236761, 5213, 1505, 58555, 66515, 10353, 42267, 63680, 872, 236743, 236770, 236810, 236908, 1051, 236772, 1749, 236772, 3704, 107, 236800, 236761, 5213, 171917, 66515, 7167, 9055, 7073, 1053, 236743, 236770, 236778, 236908, 3718, 107964, 6131, 236771, 236761, 236800, 236832, 7728, 609, 236771, 236761, 236812, 236778, 236768, 107, 236812, 236761, 5213, 96292, 66515, 10508, 24742, 11105, 3361, 18358, 5542, 108, 818, 1873, 10353, 42267, 7073, 563, 855, 68219, 506, 3527, 2460, 528, 15154, 532, 63680, 9785, 4710, 528, 506, 1638, 28594, 2846, 236761, 21284, 611, 1133, 786, 531, 8357, 1027, 3530, 19455, 653, 2847, 4767, 4403, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1202, 1601, 26231, 1262, 580, 1023, 1873, 7073, 20329, 506, 81727, 4085, 10353, 42267, 15467, 236761, 1191, 236789, 500, 28307, 30992, 18124, 236743, 236778, 236810, 236772, 236812, 236810, 528, 81727, 4085, 532, 506, 12989, 25432, 236764, 607, 9735, 19388, 4710, 236743, 236770, 236771, 8151, 531, 236743, 236828, 8711, 236761, 1030, 12073, 1156, 3794, 4578, 532, 563, 2036, 5158, 236761, 564, 1461, 531, 10769, 1061, 15154, 19455, 531, 506, 3527, 2260, 5975, 2460, 7073, 236761, 3199, 611, 33205, 506, 9813, 3736, 8283, 1699, 506, 5904, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 236774, 11314, 17698, 25174, 151218, 135673, 236778, 236771, 236778, 236800, 827, 623, 4818, 1083, 623, 5034, 827, 623, 152303, 236779, 223205, 1083, 3714, 10258, 50376, 1083, 3714, 676, 1083, 623, 236778, 236810, 236772, 236812, 236810, 827, 623, 7125, 1083, 623, 236774, 11314, 4085, 236764, 13574, 827, 623, 188357, 1083, 11058, 17625, 27830, 827, 623, 6047, 4749, 1935, 5237, 623, 234863, 236779, 675, 34030, 1083, 11058, 236774, 11314, 4085, 827, 623, 13279, 142330, 25432, 14255, 623, 32677, 236779, 29263, 1083, 3714, 133319, 878, 1083, 236743, 236770, 236828, 236819, 236771, 236771, 236771, 236764, 623, 227295, 1083, 236743, 236770, 236778, 236832, 236810, 236771, 236764, 623, 114108, 1083, 623, 236825, 236761, 236832, 236810, 70887, 623, 92506, 236779, 4720, 1083, 623, 236828, 236761, 236778, 70887, 623, 746, 58555, 1083, 236743, 236778, 236770, 236810, 236771, 1263, 623, 81907, 236779, 4818, 1083, 3714, 41413, 1083, 623, 27962, 2068, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236828, 236787, 236771, 236771, 8711, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236770, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 51128, 236779, 54023, 1083, 6610, 236828, 236764, 236778, 236771, 236771, 23179, 623, 88933, 236779, 1071, 236779, 32136, 1083, 3714, 32136, 236779, 80158, 1083, 623, 9020, 9055, 12209, 236743, 236778, 236771, 236778, 236800, 827, 623, 92506, 236779, 16417, 1083, 10955, 236778, 236761, 236770, 70887, 623, 69930, 236779, 16417, 1083, 10955, 236770, 236810, 38032, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 236774, 11314, 17698, 9020, 51771, 3500, 236778, 236771, 236778, 236800, 827, 623, 4818, 1083, 623, 106177, 827, 623, 81907, 236779, 4818, 1083, 623, 50522, 618, 14812, 827, 623, 152303, 236779, 223205, 1083, 3714, 10258, 50376, 1083, 3714, 676, 1083, 623, 236778, 236810, 236772, 236812, 236810, 827, 623, 7125, 1083, 623, 236774, 11314, 4085, 236764, 13574, 833, 12989, 25432, 236775, 5237, 623, 41413, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236800, 236771, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 553, 236779, 24392, 1083, 623, 27962, 2068, 236743, 236770, 236771, 236787, 236771, 236771, 236772, 236778, 236771, 236787, 236771, 236771, 2263, 990, 23179, 623, 32677, 236779, 29263, 1083, 3714, 133319, 878, 1083, 236743, 236770, 236828, 236819, 236778, 236800, 236832, 236764, 623, 227295, 1083, 236743, 236812, 236810, 236778, 236770, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236778, 236761, 236800, 236764, 623, 92506, 236779, 4720, 1083, 236743, 236825, 236761, 236828, 236764, 623, 13769, 236779, 721, 236779, 4513, 1083, 236743, 236771, 236761, 236812, 236778, 236764, 623, 6725, 236779, 141249, 1083, 236743, 236770, 236828, 236819, 236828, 236761, 236825, 236812, 1263, 623, 88933, 236779, 1071, 236779, 32136, 1083, 3714, 32136, 236779, 80158, 236779, 547, 1083, 623, 236774, 11314, 17698, 25174, 151218, 135673, 236778, 236771, 236778, 236800, 827, 623, 30226, 236779, 32677, 1083, 3714, 227295, 1083, 623, 236770, 236810, 236908, 3715, 827, 623, 69930, 236779, 4720, 1083, 623, 236828, 236908, 3718, 827, 623, 13769, 236779, 721, 236779, 4513, 1083, 623, 236770, 236778, 236908, 3718, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 3671, 529, 1800, 24742, 236787, 108, 1018, 236774, 11314, 4085, 10353, 42267, 15467, 568, 14009, 62902, 107, 236772, 5213, 10206, 522, 66515, 236743, 236778, 236810, 236772, 236812, 236810, 1051, 109217, 528, 81727, 4085, 900, 12989, 25432, 107, 236772, 5213, 39656, 66515, 13444, 2068, 236743, 236770, 236771, 8151, 753, 236743, 236828, 8711, 1343, 6384, 236743, 236800, 236770, 540, 107, 236772, 5213, 52277, 568, 25142, 4655, 236743, 236770, 236810, 8912, 62902, 236787, 107, 138, 236772, 236743, 236770, 236828, 236819, 236764, 236771, 236771, 236771, 52547, 107, 138, 236772, 236743, 236770, 236778, 236764, 236832, 236810, 236771, 44495, 568, 236825, 236761, 236832, 236810, 236908, 86239, 236768, 107, 138, 236772, 236743, 236828, 236761, 236778, 236908, 15154, 3136, 107, 138, 236772, 236743, 236778, 236764, 236770, 236810, 236771, 63680, 107, 138, 236772, 609, 236828, 236764, 236778, 236771, 236771, 7715, 9866, 108, 1018, 9020, 9055, 12209, 568, 50522, 62902, 107, 236772, 5213, 10206, 522, 66515, 28257, 236743, 236778, 236810, 236772, 236812, 236810, 46144, 528, 1638, 4128, 107, 236772, 5213, 39656, 66515, 3353, 236772, 27403, 38025, 568, 31159, 236743, 236770, 236771, 8151, 753, 236743, 236828, 8711, 4771, 236768, 107, 236772, 5213, 52277, 66515, 107, 138, 236772, 236743, 236770, 236828, 236819, 236764, 236778, 236800, 236832, 52547, 107, 138, 236772, 236743, 236812, 236764, 236810, 236778, 236770, 44495, 568, 236778, 236761, 236800, 236908, 14274, 3136, 236768, 107, 138, 236772, 236743, 236825, 236761, 236828, 236908, 15154, 3136, 107, 138, 236772, 609, 236770, 236764, 236828, 236819, 236828, 236761, 236825, 236812, 2558, 8559, 6131, 236771, 236761, 236812, 236778, 107964, 236768, 108, 1018, 3503, 141399, 1018, 107, 236770, 236761, 5213, 227187, 66515, 10353, 42267, 7073, 3831, 236743, 236778, 236761, 236770, 236908, 3715, 15154, 3136, 107, 236778, 236761, 5213, 1505, 58555, 66515, 10353, 42267, 63680, 872, 236743, 236770, 236810, 236908, 1051, 236772, 1749, 236772, 3704, 107, 236800, 236761, 5213, 171917, 66515, 7167, 9055, 7073, 1053, 236743, 236770, 236778, 236908, 3718, 107964, 6131, 236771, 236761, 236800, 236832, 7728, 609, 236771, 236761, 236812, 236778, 236768, 107, 236812, 236761, 5213, 96292, 66515, 10508, 24742, 11105, 3361, 18358, 5542, 108, 818, 1873, 10353, 42267, 7073, 563, 855, 68219, 506, 3527, 2460, 528, 15154, 532, 63680, 9785, 4710, 528, 506, 1638, 28594, 2846, 236761, 21284, 611, 1133, 786, 531, 8357, 1027, 3530, 19455, 653, 2847, 4767, 4403, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 5811, 855, 837, 7972, 23299, 659, 9724, 1534, 236743, 236810, 532, 236743, 236770, 236771, 528, 1041, 25357, 19126, 236761, 564, 735, 29295, 23299, 236743, 236770, 236764, 236743, 236800, 236764, 236743, 236812, 236764, 236743, 236825, 236764, 532, 236743, 236828, 236761, 2024, 564, 1202, 531, 9128, 506, 6250, 1523, 563, 7121, 236743, 236810, 236764, 834, 740, 611, 1171, 974, 786, 506, 1548, 600, 236789, 236751, 886, 919, 1082, 2390, 236881, 4298, 236764, 607, 600, 1548, 236764, 1586, 506, 9724, 21280, 528, 1041, 1694, 699, 600, 1548, 531, 236743, 236770, 236771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 46691, 236779, 113576, 1083, 11058, 236810, 827, 623, 236832, 827, 623, 236819, 236772, 236770, 236771, 99471, 106, 107, 105, 4368, 107, 818, 9724, 7972, 23299, 1534, 236743, 236810, 532, 236743, 236770, 236771, 659, 5213, 236810, 125546, 5213, 236832, 125546, 532, 5213, 236819, 236772, 236770, 236771, 84750, 236743, 108, 2094, 2820, 822, 25357, 19126, 815, 28893, 657, 8541, 4945, 236743, 236810, 236764, 236743, 236832, 236764, 532, 506, 22592, 2644, 236743, 236819, 1343, 236743, 236770, 236771, 236761, 37434, 4945, 236743, 236825, 532, 236743, 236828, 659, 3016, 29295, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 5811, 855, 837, 7972, 23299, 659, 9724, 1534, 236743, 236810, 532, 236743, 236770, 236771, 528, 1041, 25357, 19126, 236761, 564, 735, 29295, 23299, 236743, 236770, 236764, 236743, 236800, 236764, 236743, 236812, 236764, 236743, 236825, 236764, 532, 236743, 236828, 236761, 2024, 564, 1202, 531, 9128, 506, 6250, 1523, 563, 7121, 236743, 236810, 236764, 834, 740, 611, 1171, 974, 786, 506, 1548, 600, 236789, 236751, 886, 919, 1082, 2390, 236881, 4298, 236764, 607, 600, 1548, 236764, 1586, 506, 9724, 21280, 528, 1041, 1694, 699, 600, 1548, 531, 236743, 236770, 236771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 46691, 236779, 113576, 1083, 11058, 236810, 827, 623, 236832, 827, 623, 236819, 236772, 236770, 236771, 99471, 106, 107, 105, 4368, 107, 818, 9724, 7972, 23299, 1534, 236743, 236810, 532, 236743, 236770, 236771, 659, 5213, 236810, 125546, 5213, 236832, 125546, 532, 5213, 236819, 236772, 236770, 236771, 84750, 236743, 108, 2094, 2820, 822, 25357, 19126, 815, 28893, 657, 8541, 4945, 236743, 236810, 236764, 236743, 236832, 236764, 532, 506, 22592, 2644, 236743, 236819, 1343, 236743, 236770, 236771, 236761, 37434, 4945, 236743, 236825, 532, 236743, 236828, 659, 3016, 29295, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 496, 1624, 13803, 496, 1589, 7489, 756, 187866, 957, 236789, 607, 23948, 531, 16210, 532, 135055, 23060, 236761, 3199, 611, 1161, 506, 808, 24385, 236779, 2003, 236779, 1201, 236829, 5904, 531, 6054, 506, 9226, 532, 45755, 13435, 12428, 529, 600, 1463, 236881, 12213, 2891, 3393, 65799, 532, 5192, 3393, 12385, 573, 10634, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24385, 1083, 623, 38667, 827, 623, 60423, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 50771, 236779, 6875, 1083, 3714, 14801, 1083, 623, 14702, 827, 623, 19859, 1083, 623, 9671, 827, 623, 23184, 1083, 623, 187866, 957, 563, 496, 37155, 55073, 1463, 528, 135055, 6540, 236764, 3187, 5143, 607, 24214, 529, 6332, 532, 10319, 1781, 1807, 106, 107, 105, 4368, 107, 818, 1463, 623, 187866, 957, 236775, 563, 12117, 5143, 607, 506, 8256, 13435, 528, 506, 4403, 529, 16210, 568, 14801, 3393, 65799, 236768, 532, 135055, 5192, 568, 19859, 3393, 12385, 779, 607, 496, 9948, 529, 236743, 236819, 236778, 9525, 12447, 40635, 236764, 672, 1463, 563, 37155, 55073, 528, 135055, 23060, 236764, 3187, 225015, 24214, 1133, 6332, 532, 10319, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 106, 107, 105, 2364, 107, 12879, 573, 49378, 756, 187866, 957, 236789, 563, 71636, 8256, 528, 135055, 4403, 236761, 4224, 236764, 564, 1202, 531, 29888, 1116, 2777, 4009, 20183, 653, 4803, 4588, 236761, 6890, 808, 828, 236779, 2305, 236779, 42999, 236829, 531, 3927, 573, 756, 187866, 957, 16210, 135055, 236789, 532, 994, 4596, 118252, 532, 5143, 11024, 236761, 1174, 795, 1601, 786, 12019, 1679, 3435, 14175, 653, 8904, 1304, 4035, 876, 3489, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 137112, 4073, 1083, 11058, 236865, 236874, 504, 14301, 202880, 827, 13659, 187866, 957, 137650, 827, 13659, 230744, 53783, 827, 13659, 20163, 66089, 13563, 827, 13659, 236874, 504, 14301, 46640, 14255, 623, 21853, 1083, 11058, 236798, 65002, 236764, 16210, 827, 623, 236806, 9671, 3245, 236764, 16210, 827, 623, 236806, 16283, 125038, 236764, 16210, 827, 623, 236874, 504, 14301, 13118, 24706, 827, 623, 236777, 143360, 32462, 6022, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 2777, 4009, 19317, 573, 623, 187866, 957, 16210, 135055, 1083, 108, 1018, 18047, 613, 4073, 531, 11327, 53121, 107, 236772, 997, 236874, 504, 14301, 202880, 138, 107, 236772, 997, 187866, 957, 137650, 138, 107, 236772, 997, 230744, 53783, 138, 107, 236772, 997, 20163, 66089, 13563, 138, 107, 236772, 997, 236874, 504, 14301, 46640, 138, 108, 1018, 112041, 11024, 236786, 197371, 53121, 107, 236772, 42162, 236764, 16210, 568, 36344, 2777, 4009, 73696, 236768, 138, 107, 236772, 195629, 3245, 236764, 16210, 568, 236874, 504, 14301, 9226, 3710, 1591, 236768, 138, 107, 236772, 11841, 602, 125038, 236764, 16210, 568, 162497, 236786, 50771, 3432, 236768, 138, 107, 236772, 135055, 13118, 24706, 568, 205358, 3399, 5058, 236768, 138, 107, 236772, 166074, 32462, 6022, 568, 88957, 236786, 50771, 4749, 236768, 138, 108, 9208, 118252, 532, 11024, 3600, 19541, 580, 135055, 9226, 46318, 236764, 33597, 10969, 73696, 236764, 532, 14175, 1133, 10365, 236786, 236917, 568, 34207, 236768, 1298, 118252, 1133, 997, 236874, 504, 14301, 202880, 659, 5158, 236761, 21284, 611, 1133, 531, 59638, 672, 3342, 653, 3328, 3530, 14175, 236881, 106, 107, 105, 2364, 107, 15354, 580, 10365, 532, 135055, 13118, 24706, 1171, 236761, 4224, 236764, 1161, 808, 2003, 236779, 6265, 236779, 1951, 236829, 531, 12270, 4803, 4668, 699, 33597, 9226, 7021, 1133, 808, 818, 43112, 16210, 30237, 808, 78692, 7074, 16210, 30237, 532, 808, 107332, 11922, 16210, 22429, 12808, 573, 10308, 49326, 756, 236874, 504, 14301, 23060, 963, 756, 33643, 236858, 236751, 13616, 528, 135055, 6540, 963, 653, 4749, 528, 42162, 236786, 236806, 9671, 3245, 699, 506, 3068, 2297, 236761, 12713, 236772, 30449, 672, 607, 506, 2777, 4009, 1262, 531, 8701, 3435, 4749, 653, 9226, 44187, 42532, 957, 2473, 577, 5418, 528, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 7633, 1083, 78493, 3250, 1083, 623, 236798, 65002, 171545, 19419, 135055, 28917, 15467, 219430, 11689, 236789, 236751, 32462, 89644, 827, 623, 3955, 1083, 623, 818, 236743, 236778, 236771, 236778, 236810, 135055, 28917, 15467, 528, 42162, 41047, 524, 506, 36757, 13616, 529, 3607, 528, 39983, 6672, 10154, 236764, 18482, 28023, 580, 58914, 236772, 15992, 532, 54491, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 6265, 1083, 623, 818, 43112, 16210, 23179, 3714, 3250, 1083, 623, 236806, 9671, 3245, 1286, 560, 3448, 1799, 32462, 88219, 40434, 573, 135055, 26700, 827, 623, 3955, 1083, 623, 236776, 1883, 236772, 61827, 1948, 17269, 531, 2354, 16348, 54949, 532, 2519, 3184, 135055, 3607, 528, 9226, 10319, 13616, 236764, 120022, 607, 49073, 236789, 236751, 23060, 7675, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236771, 827, 623, 6265, 1083, 623, 818, 43112, 16210, 23179, 3714, 3250, 1083, 623, 31900, 606, 7178, 13806, 1854, 529, 135055, 43899, 7058, 750, 153938, 161861, 827, 623, 3955, 1083, 623, 13790, 551, 1731, 532, 24316, 46950, 580, 2777, 4009, 1024, 41346, 58542, 607, 16236, 8013, 15067, 528, 135055, 15337, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236778, 236778, 827, 623, 6265, 1083, 623, 818, 43112, 16210, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 3278, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 7633, 1083, 78493, 3250, 1083, 623, 236798, 65002, 171545, 19419, 135055, 32462, 15467, 8754, 236755, 3444, 43899, 14822, 827, 623, 2451, 1083, 623, 2574, 1411, 117832, 236761, 854, 236786, 829, 236772, 14200, 585, 236772, 57534, 236772, 134350, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 4330, 236743, 236770, 236771, 236764, 236771, 236771, 236771, 11383, 9385, 573, 2069, 236772, 5843, 42927, 18482, 135055, 12847, 236764, 4252, 236764, 532, 23060, 16592, 221476, 3714, 3250, 1083, 623, 78692, 39147, 1090, 236787, 11689, 236789, 236751, 36485, 89644, 528, 13806, 135055, 8817, 827, 623, 2451, 1083, 623, 2574, 1411, 117832, 236761, 854, 236786, 829, 236772, 12433, 14301, 236772, 33643, 236772, 117548, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 24496, 4676, 34629, 36757, 13435, 16182, 528, 135055, 6672, 27414, 3797, 221476, 3714, 3250, 1083, 623, 236806, 9671, 3245, 185131, 1799, 28917, 88219, 139945, 827, 623, 2451, 1083, 623, 2574, 1411, 117832, 236761, 854, 236786, 829, 236772, 82437, 236772, 223420, 236772, 110639, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236800, 236774, 236770, 236832, 236787, 236812, 236771, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 54476, 198291, 6614, 573, 52811, 11858, 7088, 532, 11213, 9226, 4993, 6607, 1781, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236810, 236771, 236764, 623, 6265, 1083, 623, 78692, 7074, 16210, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 7633, 1083, 78493, 3250, 1083, 623, 18160, 26438, 135055, 28917, 236787, 43899, 168889, 743, 129274, 36903, 528, 42162, 827, 623, 6265, 1083, 623, 107332, 11922, 16210, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 236776, 9226, 19520, 41671, 135055, 23060, 8678, 528, 42162, 236764, 18482, 4146, 684, 7588, 90760, 236761, 669, 2460, 58811, 506, 8020, 529, 39983, 6672, 34294, 24070, 95279, 10498, 623, 22504, 236779, 10494, 236779, 658, 878, 1083, 3714, 29872, 236779, 22487, 1083, 11058, 236940, 14200, 585, 661, 16300, 827, 12948, 12433, 14301, 236779, 57534, 14255, 623, 44003, 236779, 2763, 72102, 1083, 11058, 236874, 504, 14301, 13118, 24706, 236787, 32462, 88219, 18769, 1935, 5237, 3714, 3250, 1083, 623, 40169, 236789, 236751, 89644, 528, 135055, 32462, 151945, 43981, 1718, 827, 623, 6265, 1083, 623, 107332, 11922, 16210, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 827, 623, 6011, 1083, 623, 13790, 551, 1731, 3249, 506, 36757, 15430, 529, 3607, 528, 135055, 41550, 1133, 11841, 602, 236772, 23458, 679, 1709, 236764, 28830, 4869, 10319, 13616, 528, 4803, 1518, 10498, 623, 22504, 236779, 10494, 236779, 658, 878, 1083, 3714, 29872, 236779, 22487, 1083, 11058, 236940, 162503, 1037, 33643, 18308, 14255, 623, 44003, 236779, 2763, 72102, 1083, 11058, 236874, 504, 14301, 13118, 24706, 236787, 41526, 89644, 528, 21427, 1935, 5237, 3714, 3250, 1083, 623, 236806, 9671, 3245, 171545, 19419, 32462, 15467, 124148, 37728, 41900, 827, 623, 6265, 1083, 623, 107332, 11922, 16210, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 827, 623, 6011, 1083, 623, 236806, 9671, 3245, 236789, 236751, 6672, 14680, 59594, 13131, 532, 180791, 236764, 607, 10221, 41671, 6614, 531, 12277, 9226, 20623, 236761, 31698, 5012, 6672, 64624, 532, 11858, 138645, 773, 1230, 10498, 623, 22504, 236779, 10494, 236779, 658, 878, 1083, 3714, 29872, 236779, 22487, 1083, 11058, 236940, 82437, 236779, 3255, 236779, 216398, 14255, 623, 44003, 236779, 2763, 72102, 1083, 11058, 236874, 504, 14301, 13118, 24706, 236787, 195629, 32462, 31698, 1935, 1807, 21111, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 18844, 529, 9226, 4749, 532, 2777, 4009, 44187, 600, 1451, 3205, 531, 42532, 957, 236858, 236751, 3435, 21366, 236787, 108, 7243, 108, 10354, 5213, 3503, 32462, 31698, 833, 17605, 236751, 1018, 107, 236770, 236761, 5213, 236874, 504, 14301, 28917, 15467, 568, 236798, 65002, 236764, 5261, 236743, 236778, 236771, 236778, 236810, 62902, 138, 107, 139, 236772, 118189, 524, 3607, 236858, 236751, 13616, 528, 39983, 28968, 568, 236744, 236761, 236759, 1126, 58914, 236772, 15992, 236764, 54491, 769, 138, 107, 139, 236772, 8779, 4009, 38389, 236787, 5213, 236865, 236874, 504, 14301, 202880, 125546, 5213, 236940, 14200, 585, 661, 16300, 125546, 5213, 236940, 12433, 14301, 236779, 57534, 1018, 568, 42809, 769, 138, 107, 139, 236772, 808, 10745, 63508, 145918, 506, 68324, 5213, 236865, 187866, 957, 137650, 1018, 699, 6517, 3927, 237028, 46052, 10128, 3577, 67966, 19240, 531, 506, 2460, 236761, 108, 236778, 236761, 5213, 236806, 9671, 3245, 32462, 88219, 40434, 1018, 138, 107, 139, 236772, 6110, 236772, 61827, 6607, 531, 2354, 16348, 54949, 532, 2519, 135055, 3607, 528, 10319, 13616, 236761, 138, 107, 139, 236772, 23877, 531, 5213, 236865, 236874, 504, 14301, 46640, 1018, 532, 5213, 236874, 504, 14301, 13118, 24706, 1018, 18701, 568, 236744, 236761, 236759, 1126, 623, 41022, 89644, 528, 21427, 236775, 8583, 769, 138, 107, 139, 236772, 808, 6375, 14806, 236772, 495, 63508, 195629, 3245, 568, 2543, 2777, 4009, 1262, 236768, 532, 5213, 236940, 82437, 236779, 3255, 236779, 216398, 1018, 568, 42809, 769, 108, 236800, 236761, 5213, 31900, 606, 580, 13806, 4266, 135055, 7058, 750, 1018, 138, 107, 139, 236772, 155208, 580, 2777, 4009, 568, 236744, 236761, 236759, 1126, 5213, 236865, 20163, 66089, 13563, 125546, 5213, 236865, 230744, 53783, 1018, 769, 138, 107, 139, 236772, 808, 1479, 113458, 63508, 1637, 42532, 957, 81975, 607, 9226, 9834, 14175, 236764, 672, 15601, 1451, 7495, 1116, 10521, 236761, 108, 236812, 236761, 5213, 9175, 32129, 2020, 833, 151945, 1018, 138, 107, 139, 236772, 42162, 9226, 52923, 568, 236744, 236761, 236759, 1126, 6672, 34294, 236768, 532, 195629, 236858, 236751, 7384, 14680, 568, 27393, 236743, 236778, 236771, 236778, 236810, 236768, 37837, 20623, 532, 23060, 236761, 138, 107, 139, 236772, 8779, 4009, 42298, 236787, 5213, 236940, 162503, 1037, 33643, 18308, 1018, 568, 42809, 236768, 532, 5213, 236874, 504, 14301, 13118, 24706, 1018, 25843, 236761, 108, 7243, 108, 10354, 5213, 75652, 123747, 531, 10703, 11870, 1018, 107, 236770, 236761, 5213, 42809, 1018, 138, 107, 139, 236772, 12808, 118252, 236787, 5213, 236865, 187866, 957, 137650, 125546, 5213, 236865, 236874, 504, 14301, 202880, 125546, 5213, 236865, 230744, 53783, 84750, 138, 107, 139, 236772, 22177, 10789, 236787, 5213, 236940, 14200, 585, 661, 16300, 125546, 5213, 236940, 12433, 14301, 236779, 57534, 125546, 5213, 236940, 82437, 236779, 3255, 236779, 216398, 84750, 138, 107, 139, 236772, 11696, 573, 12714, 19240, 531, 506, 42162, 14680, 568, 27393, 236743, 236778, 236771, 236778, 236810, 236768, 653, 66444, 52731, 236761, 108, 236778, 236761, 5213, 236874, 504, 14301, 13118, 24706, 1018, 138, 107, 139, 236772, 46071, 25843, 236787, 138, 107, 141, 236772, 623, 111534, 88219, 236775, 568, 21903, 531, 195629, 236858, 236751, 17358, 769, 138, 107, 141, 236772, 623, 41022, 89644, 528, 21427, 236775, 568, 33643, 236858, 236751, 10319, 528, 41550, 769, 138, 107, 139, 236772, 6890, 506, 1463, 5213, 187866, 957, 1018, 618, 496, 3927, 1941, 528, 2430, 20183, 653, 12714, 236761, 108, 236800, 236761, 5213, 3500, 12713, 236772, 9313, 1018, 138, 107, 139, 236772, 7179, 26241, 15852, 653, 16646, 20183, 573, 506, 42162, 135055, 28917, 15467, 568, 27393, 236743, 236778, 236771, 236778, 236810, 236768, 653, 195629, 236858, 236751, 9226, 14680, 568, 27393, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 769, 138, 107, 139, 236772, 11696, 573, 42298, 529, 5213, 187866, 957, 1018, 528, 4668, 4676, 8968, 653, 5143, 19985, 18701, 236761, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 38786, 611, 1133, 531, 236787, 138, 107, 236770, 236761, 5213, 7166, 688, 506, 10365, 3927, 1018, 1699, 3530, 118252, 653, 4563, 16616, 236881, 138, 107, 236778, 236761, 5213, 229738, 19276, 1131, 19985, 25843, 1018, 573, 1982, 42298, 529, 42532, 957, 653, 3361, 5618, 236881, 138, 107, 236800, 236761, 5213, 61728, 4668, 4071, 236772, 35380, 9908, 1018, 531, 3204, 2460, 14069, 653, 167845, 15852, 236881, 138, 108, 6481, 786, 1281, 1217, 531, 7162, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 496, 1624, 13803, 496, 1589, 7489, 756, 187866, 957, 236789, 607, 23948, 531, 16210, 532, 135055, 23060, 236761, 3199, 611, 1161, 506, 808, 24385, 236779, 2003, 236779, 1201, 236829, 5904, 531, 6054, 506, 9226, 532, 45755, 13435, 12428, 529, 600, 1463, 236881, 12213, 2891, 3393, 65799, 532, 5192, 3393, 12385, 573, 10634, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24385, 1083, 623, 38667, 827, 623, 60423, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 50771, 236779, 6875, 1083, 3714, 14801, 1083, 623, 14702, 827, 623, 19859, 1083, 623, 9671, 827, 623, 23184, 1083, 623, 187866, 957, 563, 496, 37155, 55073, 1463, 528, 135055, 6540, 236764, 3187, 5143, 607, 24214, 529, 6332, 532, 10319, 1781, 1807, 106, 107, 105, 4368, 107, 818, 1463, 623, 187866, 957, 236775, 563, 12117, 5143, 607, 506, 8256, 13435, 528, 506, 4403, 529, 16210, 568, 14801, 3393, 65799, 236768, 532, 135055, 5192, 568, 19859, 3393, 12385, 779, 607, 496, 9948, 529, 236743, 236819, 236778, 9525, 12447, 40635, 236764, 672, 1463, 563, 37155, 55073, 528, 135055, 23060, 236764, 3187, 225015, 24214, 1133, 6332, 532, 10319, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 106, 107, 105, 2364, 107, 12879, 573, 49378, 756, 187866, 957, 236789, 563, 71636, 8256, 528, 135055, 4403, 236761, 4224, 236764, 564, 1202, 531, 29888, 1116, 2777, 4009, 20183, 653, 4803, 4588, 236761, 6890, 808, 828, 236779, 2305, 236779, 42999, 236829, 531, 3927, 573, 756, 187866, 957, 16210, 135055, 236789, 532, 994, 4596, 118252, 532, 5143, 11024, 236761, 1174, 795, 1601, 786, 12019, 1679, 3435, 14175, 653, 8904, 1304, 4035, 876, 3489, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 137112, 4073, 1083, 11058, 236865, 236874, 504, 14301, 202880, 827, 13659, 187866, 957, 137650, 827, 13659, 230744, 53783, 827, 13659, 20163, 66089, 13563, 827, 13659, 236874, 504, 14301, 46640, 14255, 623, 21853, 1083, 11058, 236798, 65002, 236764, 16210, 827, 623, 236806, 9671, 3245, 236764, 16210, 827, 623, 236806, 16283, 125038, 236764, 16210, 827, 623, 236874, 504, 14301, 13118, 24706, 827, 623, 236777, 143360, 32462, 6022, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 2777, 4009, 19317, 573, 623, 187866, 957, 16210, 135055, 1083, 108, 1018, 18047, 613, 4073, 531, 11327, 53121, 107, 236772, 997, 236874, 504, 14301, 202880, 138, 107, 236772, 997, 187866, 957, 137650, 138, 107, 236772, 997, 230744, 53783, 138, 107, 236772, 997, 20163, 66089, 13563, 138, 107, 236772, 997, 236874, 504, 14301, 46640, 138, 108, 1018, 112041, 11024, 236786, 197371, 53121, 107, 236772, 42162, 236764, 16210, 568, 36344, 2777, 4009, 73696, 236768, 138, 107, 236772, 195629, 3245, 236764, 16210, 568, 236874, 504, 14301, 9226, 3710, 1591, 236768, 138, 107, 236772, 11841, 602, 125038, 236764, 16210, 568, 162497, 236786, 50771, 3432, 236768, 138, 107, 236772, 135055, 13118, 24706, 568, 205358, 3399, 5058, 236768, 138, 107, 236772, 166074, 32462, 6022, 568, 88957, 236786, 50771, 4749, 236768, 138, 108, 9208, 118252, 532, 11024, 3600, 19541, 580, 135055, 9226, 46318, 236764, 33597, 10969, 73696, 236764, 532, 14175, 1133, 10365, 236786, 236917, 568, 34207, 236768, 1298, 118252, 1133, 997, 236874, 504, 14301, 202880, 659, 5158, 236761, 21284, 611, 1133, 531, 59638, 672, 3342, 653, 3328, 3530, 14175, 236881, 106, 107, 105, 2364, 107, 15354, 580, 10365, 532, 135055, 13118, 24706, 1171, 236761, 4224, 236764, 1161, 808, 2003, 236779, 6265, 236779, 1951, 236829, 531, 12270, 4803, 4668, 699, 33597, 9226, 7021, 1133, 808, 818, 43112, 16210, 30237, 808, 78692, 7074, 16210, 30237, 532, 808, 107332, 11922, 16210, 22429, 12808, 573, 10308, 49326, 756, 236874, 504, 14301, 23060, 963, 756, 33643, 236858, 236751, 13616, 528, 135055, 6540, 963, 653, 4749, 528, 42162, 236786, 236806, 9671, 3245, 699, 506, 3068, 2297, 236761, 12713, 236772, 30449, 672, 607, 506, 2777, 4009, 1262, 531, 8701, 3435, 4749, 653, 9226, 44187, 42532, 957, 2473, 577, 5418, 528, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 7633, 1083, 78493, 3250, 1083, 623, 236798, 65002, 171545, 19419, 135055, 28917, 15467, 219430, 11689, 236789, 236751, 32462, 89644, 827, 623, 3955, 1083, 623, 818, 236743, 236778, 236771, 236778, 236810, 135055, 28917, 15467, 528, 42162, 41047, 524, 506, 36757, 13616, 529, 3607, 528, 39983, 6672, 10154, 236764, 18482, 28023, 580, 58914, 236772, 15992, 532, 54491, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 6265, 1083, 623, 818, 43112, 16210, 23179, 3714, 3250, 1083, 623, 236806, 9671, 3245, 1286, 560, 3448, 1799, 32462, 88219, 40434, 573, 135055, 26700, 827, 623, 3955, 1083, 623, 236776, 1883, 236772, 61827, 1948, 17269, 531, 2354, 16348, 54949, 532, 2519, 3184, 135055, 3607, 528, 9226, 10319, 13616, 236764, 120022, 607, 49073, 236789, 236751, 23060, 7675, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236770, 236771, 827, 623, 6265, 1083, 623, 818, 43112, 16210, 23179, 3714, 3250, 1083, 623, 31900, 606, 7178, 13806, 1854, 529, 135055, 43899, 7058, 750, 153938, 161861, 827, 623, 3955, 1083, 623, 13790, 551, 1731, 532, 24316, 46950, 580, 2777, 4009, 1024, 41346, 58542, 607, 16236, 8013, 15067, 528, 135055, 15337, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236810, 236772, 236778, 236778, 827, 623, 6265, 1083, 623, 818, 43112, 16210, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 3278, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 7633, 1083, 78493, 3250, 1083, 623, 236798, 65002, 171545, 19419, 135055, 32462, 15467, 8754, 236755, 3444, 43899, 14822, 827, 623, 2451, 1083, 623, 2574, 1411, 117832, 236761, 854, 236786, 829, 236772, 14200, 585, 236772, 57534, 236772, 134350, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 4330, 236743, 236770, 236771, 236764, 236771, 236771, 236771, 11383, 9385, 573, 2069, 236772, 5843, 42927, 18482, 135055, 12847, 236764, 4252, 236764, 532, 23060, 16592, 221476, 3714, 3250, 1083, 623, 78692, 39147, 1090, 236787, 11689, 236789, 236751, 36485, 89644, 528, 13806, 135055, 8817, 827, 623, 2451, 1083, 623, 2574, 1411, 117832, 236761, 854, 236786, 829, 236772, 12433, 14301, 236772, 33643, 236772, 117548, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 24496, 4676, 34629, 36757, 13435, 16182, 528, 135055, 6672, 27414, 3797, 221476, 3714, 3250, 1083, 623, 236806, 9671, 3245, 185131, 1799, 28917, 88219, 139945, 827, 623, 2451, 1083, 623, 2574, 1411, 117832, 236761, 854, 236786, 829, 236772, 82437, 236772, 223420, 236772, 110639, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236800, 236774, 236770, 236832, 236787, 236812, 236771, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 54476, 198291, 6614, 573, 52811, 11858, 7088, 532, 11213, 9226, 4993, 6607, 1781, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236810, 236771, 236764, 623, 6265, 1083, 623, 78692, 7074, 16210, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 7633, 1083, 78493, 3250, 1083, 623, 18160, 26438, 135055, 28917, 236787, 43899, 168889, 743, 129274, 36903, 528, 42162, 827, 623, 6265, 1083, 623, 107332, 11922, 16210, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 6011, 1083, 623, 236776, 9226, 19520, 41671, 135055, 23060, 8678, 528, 42162, 236764, 18482, 4146, 684, 7588, 90760, 236761, 669, 2460, 58811, 506, 8020, 529, 39983, 6672, 34294, 24070, 95279, 10498, 623, 22504, 236779, 10494, 236779, 658, 878, 1083, 3714, 29872, 236779, 22487, 1083, 11058, 236940, 14200, 585, 661, 16300, 827, 12948, 12433, 14301, 236779, 57534, 14255, 623, 44003, 236779, 2763, 72102, 1083, 11058, 236874, 504, 14301, 13118, 24706, 236787, 32462, 88219, 18769, 1935, 5237, 3714, 3250, 1083, 623, 40169, 236789, 236751, 89644, 528, 135055, 32462, 151945, 43981, 1718, 827, 623, 6265, 1083, 623, 107332, 11922, 16210, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 827, 623, 6011, 1083, 623, 13790, 551, 1731, 3249, 506, 36757, 15430, 529, 3607, 528, 135055, 41550, 1133, 11841, 602, 236772, 23458, 679, 1709, 236764, 28830, 4869, 10319, 13616, 528, 4803, 1518, 10498, 623, 22504, 236779, 10494, 236779, 658, 878, 1083, 3714, 29872, 236779, 22487, 1083, 11058, 236940, 162503, 1037, 33643, 18308, 14255, 623, 44003, 236779, 2763, 72102, 1083, 11058, 236874, 504, 14301, 13118, 24706, 236787, 41526, 89644, 528, 21427, 1935, 5237, 3714, 3250, 1083, 623, 236806, 9671, 3245, 171545, 19419, 32462, 15467, 124148, 37728, 41900, 827, 623, 6265, 1083, 623, 107332, 11922, 16210, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 827, 623, 6011, 1083, 623, 236806, 9671, 3245, 236789, 236751, 6672, 14680, 59594, 13131, 532, 180791, 236764, 607, 10221, 41671, 6614, 531, 12277, 9226, 20623, 236761, 31698, 5012, 6672, 64624, 532, 11858, 138645, 773, 1230, 10498, 623, 22504, 236779, 10494, 236779, 658, 878, 1083, 3714, 29872, 236779, 22487, 1083, 11058, 236940, 82437, 236779, 3255, 236779, 216398, 14255, 623, 44003, 236779, 2763, 72102, 1083, 11058, 236874, 504, 14301, 13118, 24706, 236787, 195629, 32462, 31698, 1935, 1807, 21111, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 18844, 529, 9226, 4749, 532, 2777, 4009, 44187, 600, 1451, 3205, 531, 42532, 957, 236858, 236751, 3435, 21366, 236787, 108, 7243, 108, 10354, 5213, 3503, 32462, 31698, 833, 17605, 236751, 1018, 107, 236770, 236761, 5213, 236874, 504, 14301, 28917, 15467, 568, 236798, 65002, 236764, 5261, 236743, 236778, 236771, 236778, 236810, 62902, 138, 107, 139, 236772, 118189, 524, 3607, 236858, 236751, 13616, 528, 39983, 28968, 568, 236744, 236761, 236759, 1126, 58914, 236772, 15992, 236764, 54491, 769, 138, 107, 139, 236772, 8779, 4009, 38389, 236787, 5213, 236865, 236874, 504, 14301, 202880, 125546, 5213, 236940, 14200, 585, 661, 16300, 125546, 5213, 236940, 12433, 14301, 236779, 57534, 1018, 568, 42809, 769, 138, 107, 139, 236772, 808, 10745, 63508, 145918, 506, 68324, 5213, 236865, 187866, 957, 137650, 1018, 699, 6517, 3927, 237028, 46052, 10128, 3577, 67966, 19240, 531, 506, 2460, 236761, 108, 236778, 236761, 5213, 236806, 9671, 3245, 32462, 88219, 40434, 1018, 138, 107, 139, 236772, 6110, 236772, 61827, 6607, 531, 2354, 16348, 54949, 532, 2519, 135055, 3607, 528, 10319, 13616, 236761, 138, 107, 139, 236772, 23877, 531, 5213, 236865, 236874, 504, 14301, 46640, 1018, 532, 5213, 236874, 504, 14301, 13118, 24706, 1018, 18701, 568, 236744, 236761, 236759, 1126, 623, 41022, 89644, 528, 21427, 236775, 8583, 769, 138, 107, 139, 236772, 808, 6375, 14806, 236772, 495, 63508, 195629, 3245, 568, 2543, 2777, 4009, 1262, 236768, 532, 5213, 236940, 82437, 236779, 3255, 236779, 216398, 1018, 568, 42809, 769, 108, 236800, 236761, 5213, 31900, 606, 580, 13806, 4266, 135055, 7058, 750, 1018, 138, 107, 139, 236772, 155208, 580, 2777, 4009, 568, 236744, 236761, 236759, 1126, 5213, 236865, 20163, 66089, 13563, 125546, 5213, 236865, 230744, 53783, 1018, 769, 138, 107, 139, 236772, 808, 1479, 113458, 63508, 1637, 42532, 957, 81975, 607, 9226, 9834, 14175, 236764, 672, 15601, 1451, 7495, 1116, 10521, 236761, 108, 236812, 236761, 5213, 9175, 32129, 2020, 833, 151945, 1018, 138, 107, 139, 236772, 42162, 9226, 52923, 568, 236744, 236761, 236759, 1126, 6672, 34294, 236768, 532, 195629, 236858, 236751, 7384, 14680, 568, 27393, 236743, 236778, 236771, 236778, 236810, 236768, 37837, 20623, 532, 23060, 236761, 138, 107, 139, 236772, 8779, 4009, 42298, 236787, 5213, 236940, 162503, 1037, 33643, 18308, 1018, 568, 42809, 236768, 532, 5213, 236874, 504, 14301, 13118, 24706, 1018, 25843, 236761, 108, 7243, 108, 10354, 5213, 75652, 123747, 531, 10703, 11870, 1018, 107, 236770, 236761, 5213, 42809, 1018, 138, 107, 139, 236772, 12808, 118252, 236787, 5213, 236865, 187866, 957, 137650, 125546, 5213, 236865, 236874, 504, 14301, 202880, 125546, 5213, 236865, 230744, 53783, 84750, 138, 107, 139, 236772, 22177, 10789, 236787, 5213, 236940, 14200, 585, 661, 16300, 125546, 5213, 236940, 12433, 14301, 236779, 57534, 125546, 5213, 236940, 82437, 236779, 3255, 236779, 216398, 84750, 138, 107, 139, 236772, 11696, 573, 12714, 19240, 531, 506, 42162, 14680, 568, 27393, 236743, 236778, 236771, 236778, 236810, 236768, 653, 66444, 52731, 236761, 108, 236778, 236761, 5213, 236874, 504, 14301, 13118, 24706, 1018, 138, 107, 139, 236772, 46071, 25843, 236787, 138, 107, 141, 236772, 623, 111534, 88219, 236775, 568, 21903, 531, 195629, 236858, 236751, 17358, 769, 138, 107, 141, 236772, 623, 41022, 89644, 528, 21427, 236775, 568, 33643, 236858, 236751, 10319, 528, 41550, 769, 138, 107, 139, 236772, 6890, 506, 1463, 5213, 187866, 957, 1018, 618, 496, 3927, 1941, 528, 2430, 20183, 653, 12714, 236761, 108, 236800, 236761, 5213, 3500, 12713, 236772, 9313, 1018, 138, 107, 139, 236772, 7179, 26241, 15852, 653, 16646, 20183, 573, 506, 42162, 135055, 28917, 15467, 568, 27393, 236743, 236778, 236771, 236778, 236810, 236768, 653, 195629, 236858, 236751, 9226, 14680, 568, 27393, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 769, 138, 107, 139, 236772, 11696, 573, 42298, 529, 5213, 187866, 957, 1018, 528, 4668, 4676, 8968, 653, 5143, 19985, 18701, 236761, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 38786, 611, 1133, 531, 236787, 138, 107, 236770, 236761, 5213, 7166, 688, 506, 10365, 3927, 1018, 1699, 3530, 118252, 653, 4563, 16616, 236881, 138, 107, 236778, 236761, 5213, 229738, 19276, 1131, 19985, 25843, 1018, 573, 1982, 42298, 529, 42532, 957, 653, 3361, 5618, 236881, 138, 107, 236800, 236761, 5213, 61728, 4668, 4071, 236772, 35380, 9908, 1018, 531, 3204, 2460, 14069, 653, 167845, 15852, 236881, 138, 108, 6481, 786, 1281, 1217, 531, 7162, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 1202, 1601, 6995, 1041, 2148, 167387, 12441, 4598, 32452, 2101, 614, 86101, 236772, 18865, 12556, 2780, 13415, 236761, 5315, 236764, 1531, 236789, 236751, 1586, 496, 46898, 236764, 10293, 3995, 714, 48702, 532, 1360, 7814, 1399, 15028, 1699, 974, 236779, 42352, 236779, 215582, 236761, 9920, 692, 735, 506, 15028, 236764, 564, 1461, 531, 3738, 13153, 699, 496, 2544, 607, 3188, 24488, 10154, 236761, 1637, 611, 740, 236789, 236745, 1586, 496, 27313, 5467, 1343, 2544, 236779, 13308, 236764, 2426, 974, 507, 236759, 12959, 573, 10308, 49326, 30426, 25684, 529, 1239, 13153, 236761, 1637, 1027, 5904, 9139, 5121, 236764, 2056, 39919, 30154, 1133, 756, 34791, 3995, 714, 48702, 25684, 236789, 653, 756, 199283, 15689, 24949, 7085, 3792, 236789, 236751, 1386, 2889, 1041, 12441, 4598, 563, 1800, 14788, 532, 42990, 7757, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 3250, 1083, 623, 99969, 12500, 714, 57226, 607, 19862, 27528, 141831, 20075, 827, 623, 77095, 1083, 11058, 34791, 3995, 714, 48702, 827, 623, 17641, 81290, 48399, 827, 623, 94438, 827, 623, 5359, 788, 827, 623, 34791, 15689, 30056, 827, 623, 514, 12044, 9556, 827, 623, 36439, 15003, 14255, 623, 96654, 1083, 623, 236773, 1474, 236785, 236756, 236771, 236771, 236744, 236819, 40641, 532, 29508, 236764, 1138, 43449, 3995, 714, 48702, 532, 48399, 236761, 4508, 1042, 3097, 21870, 236761, 1701, 1360, 7814, 1399, 236787, 6921, 15689, 30056, 236764, 47195, 9556, 236764, 22027, 15003, 236764, 532, 48301, 657, 236743, 236812, 236771, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 3097, 13935, 221476, 3714, 3250, 1083, 623, 71087, 933, 37330, 19862, 27528, 28566, 827, 623, 77095, 1083, 11058, 34791, 15689, 30056, 827, 623, 34791, 2764, 21556, 827, 623, 11761, 22300, 827, 623, 165883, 21836, 827, 623, 36439, 4446, 14255, 623, 96654, 1083, 623, 16793, 56677, 15689, 30056, 7241, 607, 2764, 28891, 532, 22300, 11711, 236761, 85888, 657, 236743, 236800, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236761, 68988, 607, 3995, 714, 48702, 580, 1903, 1781, 104960, 623, 14210, 1083, 623, 3243, 23642, 56856, 10293, 236772, 94636, 13153, 236761, 1701, 30426, 73476, 236764, 1966, 1699, 506, 2544, 236779, 13308, 5904, 531, 29888, 13726, 25684, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 16872, 551, 827, 623, 35992, 14255, 623, 29995, 1083, 642, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 99969, 11849, 827, 623, 186084, 1083, 623, 3118, 827, 623, 236751, 152405, 236779, 178407, 1083, 11058, 236770, 236771, 236771, 236908, 10293, 22902, 827, 623, 5024, 1026, 1280, 24949, 4615, 827, 623, 71275, 236772, 45258, 6675, 827, 623, 62622, 5754, 33000, 14255, 623, 17870, 236779, 216957, 1083, 11058, 99969, 3995, 714, 48702, 827, 623, 14042, 236772, 227382, 15689, 30056, 827, 623, 236773, 25185, 2579, 45869, 35226, 14255, 623, 507, 236759, 236779, 13126, 1083, 623, 236776, 135527, 623, 11607, 1083, 3714, 31935, 1083, 623, 2769, 236761, 34791, 156492, 236761, 854, 827, 623, 236751, 53273, 236779, 495, 17452, 236779, 6774, 1083, 623, 236751, 25185, 2639, 53273, 236940, 34791, 156492, 236761, 854, 127096, 106, 107, 105, 4368, 107, 8291, 659, 822, 86101, 236772, 18865, 12441, 4598, 5434, 236787, 108, 1018, 146338, 53121, 107, 236770, 236761, 5213, 99969, 12500, 714, 57226, 607, 19862, 27528, 211492, 1190, 1018, 138, 107, 139, 236772, 808, 64690, 63508, 37330, 3995, 714, 48702, 236764, 17810, 81290, 48399, 236764, 32159, 236764, 29508, 236764, 10293, 15689, 30056, 236764, 47195, 9556, 236764, 22027, 15003, 138, 107, 139, 236772, 808, 81851, 63508, 555, 49358, 40641, 236786, 5359, 788, 236764, 1138, 3995, 714, 48702, 532, 48399, 236761, 4508, 1042, 3097, 21870, 236761, 1701, 1360, 7814, 1399, 236787, 6921, 15689, 30056, 236764, 47195, 9556, 236764, 22027, 15003, 236764, 532, 48301, 657, 236743, 236812, 236771, 236771, 237366, 236811, 3097, 13935, 236761, 108, 236778, 236761, 5213, 71087, 933, 37330, 19862, 27528, 28566, 1018, 138, 107, 139, 236772, 808, 64690, 63508, 37330, 15689, 30056, 236764, 10293, 2764, 21556, 236764, 19974, 22300, 236764, 30336, 21836, 236764, 22027, 4446, 138, 107, 139, 236772, 808, 81851, 63508, 42674, 56677, 15689, 30056, 7241, 607, 2764, 28891, 532, 22300, 11711, 236761, 85888, 657, 236743, 236800, 236832, 236810, 237366, 236811, 236761, 68988, 607, 3995, 714, 48702, 580, 1903, 236761, 108, 1018, 174779, 75848, 53121, 138, 107, 1018, 99969, 11849, 1018, 568, 2769, 236761, 34791, 156492, 236761, 854, 236768, 4728, 236787, 138, 107, 236772, 236743, 236770, 236771, 236771, 236908, 10293, 236772, 94636, 3995, 714, 48702, 138, 107, 236772, 10645, 236772, 227382, 15689, 30056, 138, 107, 236772, 176088, 1280, 24949, 10154, 607, 6800, 236772, 45258, 6675, 138, 107, 236772, 13948, 573, 73476, 236787, 8449, 2639, 53273, 236940, 34791, 156492, 236761, 854, 138, 108, 11069, 4598, 740, 1492, 4926, 14788, 236764, 147810, 56466, 19292, 236888, 236743, 247527, 251283, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 1202, 1601, 6995, 1041, 2148, 167387, 12441, 4598, 32452, 2101, 614, 86101, 236772, 18865, 12556, 2780, 13415, 236761, 5315, 236764, 1531, 236789, 236751, 1586, 496, 46898, 236764, 10293, 3995, 714, 48702, 532, 1360, 7814, 1399, 15028, 1699, 974, 236779, 42352, 236779, 215582, 236761, 9920, 692, 735, 506, 15028, 236764, 564, 1461, 531, 3738, 13153, 699, 496, 2544, 607, 3188, 24488, 10154, 236761, 1637, 611, 740, 236789, 236745, 1586, 496, 27313, 5467, 1343, 2544, 236779, 13308, 236764, 2426, 974, 507, 236759, 12959, 573, 10308, 49326, 30426, 25684, 529, 1239, 13153, 236761, 1637, 1027, 5904, 9139, 5121, 236764, 2056, 39919, 30154, 1133, 756, 34791, 3995, 714, 48702, 25684, 236789, 653, 756, 199283, 15689, 24949, 7085, 3792, 236789, 236751, 1386, 2889, 1041, 12441, 4598, 563, 1800, 14788, 532, 42990, 7757, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 3250, 1083, 623, 99969, 12500, 714, 57226, 607, 19862, 27528, 141831, 20075, 827, 623, 77095, 1083, 11058, 34791, 3995, 714, 48702, 827, 623, 17641, 81290, 48399, 827, 623, 94438, 827, 623, 5359, 788, 827, 623, 34791, 15689, 30056, 827, 623, 514, 12044, 9556, 827, 623, 36439, 15003, 14255, 623, 96654, 1083, 623, 236773, 1474, 236785, 236756, 236771, 236771, 236744, 236819, 40641, 532, 29508, 236764, 1138, 43449, 3995, 714, 48702, 532, 48399, 236761, 4508, 1042, 3097, 21870, 236761, 1701, 1360, 7814, 1399, 236787, 6921, 15689, 30056, 236764, 47195, 9556, 236764, 22027, 15003, 236764, 532, 48301, 657, 236743, 236812, 236771, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 3097, 13935, 221476, 3714, 3250, 1083, 623, 71087, 933, 37330, 19862, 27528, 28566, 827, 623, 77095, 1083, 11058, 34791, 15689, 30056, 827, 623, 34791, 2764, 21556, 827, 623, 11761, 22300, 827, 623, 165883, 21836, 827, 623, 36439, 4446, 14255, 623, 96654, 1083, 623, 16793, 56677, 15689, 30056, 7241, 607, 2764, 28891, 532, 22300, 11711, 236761, 85888, 657, 236743, 236800, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236761, 68988, 607, 3995, 714, 48702, 580, 1903, 1781, 104960, 623, 14210, 1083, 623, 3243, 23642, 56856, 10293, 236772, 94636, 13153, 236761, 1701, 30426, 73476, 236764, 1966, 1699, 506, 2544, 236779, 13308, 5904, 531, 29888, 13726, 25684, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 16872, 551, 827, 623, 35992, 14255, 623, 29995, 1083, 642, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 99969, 11849, 827, 623, 186084, 1083, 623, 3118, 827, 623, 236751, 152405, 236779, 178407, 1083, 11058, 236770, 236771, 236771, 236908, 10293, 22902, 827, 623, 5024, 1026, 1280, 24949, 4615, 827, 623, 71275, 236772, 45258, 6675, 827, 623, 62622, 5754, 33000, 14255, 623, 17870, 236779, 216957, 1083, 11058, 99969, 3995, 714, 48702, 827, 623, 14042, 236772, 227382, 15689, 30056, 827, 623, 236773, 25185, 2579, 45869, 35226, 14255, 623, 507, 236759, 236779, 13126, 1083, 623, 236776, 135527, 623, 11607, 1083, 3714, 31935, 1083, 623, 2769, 236761, 34791, 156492, 236761, 854, 827, 623, 236751, 53273, 236779, 495, 17452, 236779, 6774, 1083, 623, 236751, 25185, 2639, 53273, 236940, 34791, 156492, 236761, 854, 127096, 106, 107, 105, 4368, 107, 8291, 659, 822, 86101, 236772, 18865, 12441, 4598, 5434, 236787, 108, 1018, 146338, 53121, 107, 236770, 236761, 5213, 99969, 12500, 714, 57226, 607, 19862, 27528, 211492, 1190, 1018, 138, 107, 139, 236772, 808, 64690, 63508, 37330, 3995, 714, 48702, 236764, 17810, 81290, 48399, 236764, 32159, 236764, 29508, 236764, 10293, 15689, 30056, 236764, 47195, 9556, 236764, 22027, 15003, 138, 107, 139, 236772, 808, 81851, 63508, 555, 49358, 40641, 236786, 5359, 788, 236764, 1138, 3995, 714, 48702, 532, 48399, 236761, 4508, 1042, 3097, 21870, 236761, 1701, 1360, 7814, 1399, 236787, 6921, 15689, 30056, 236764, 47195, 9556, 236764, 22027, 15003, 236764, 532, 48301, 657, 236743, 236812, 236771, 236771, 237366, 236811, 3097, 13935, 236761, 108, 236778, 236761, 5213, 71087, 933, 37330, 19862, 27528, 28566, 1018, 138, 107, 139, 236772, 808, 64690, 63508, 37330, 15689, 30056, 236764, 10293, 2764, 21556, 236764, 19974, 22300, 236764, 30336, 21836, 236764, 22027, 4446, 138, 107, 139, 236772, 808, 81851, 63508, 42674, 56677, 15689, 30056, 7241, 607, 2764, 28891, 532, 22300, 11711, 236761, 85888, 657, 236743, 236800, 236832, 236810, 237366, 236811, 236761, 68988, 607, 3995, 714, 48702, 580, 1903, 236761, 108, 1018, 174779, 75848, 53121, 138, 107, 1018, 99969, 11849, 1018, 568, 2769, 236761, 34791, 156492, 236761, 854, 236768, 4728, 236787, 138, 107, 236772, 236743, 236770, 236771, 236771, 236908, 10293, 236772, 94636, 3995, 714, 48702, 138, 107, 236772, 10645, 236772, 227382, 15689, 30056, 138, 107, 236772, 176088, 1280, 24949, 10154, 607, 6800, 236772, 45258, 6675, 138, 107, 236772, 13948, 573, 73476, 236787, 8449, 2639, 53273, 236940, 34791, 156492, 236761, 854, 138, 108, 11069, 4598, 740, 1492, 4926, 14788, 236764, 147810, 56466, 19292, 236888, 236743, 247527, 251283, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 9795, 496, 4389, 607, 496, 11858, 7299, 2203, 22020, 9979, 3418, 4695, 5711, 236761, 564, 1202, 496, 1694, 529, 9979, 19372, 684, 910, 6782, 6317, 528, 52919, 1900, 236764, 6807, 236743, 236770, 236771, 16227, 810, 3104, 236761, 28344, 611, 33205, 506, 1855, 3104, 529, 1262, 236881, 564, 1461, 531, 18840, 837, 9979, 8345, 7310, 573, 496, 11048, 564, 236789, 236757, 17373, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 13319, 1083, 623, 162804, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236828, 236761, 236810, 1263, 3714, 13319, 1083, 623, 87866, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236832, 236761, 236778, 1263, 3714, 13319, 1083, 623, 67784, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236825, 236761, 236828, 1263, 3714, 13319, 1083, 623, 107305, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236810, 236761, 236800, 1263, 3714, 13319, 1083, 623, 154471, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236812, 236761, 236832, 1263, 3714, 13319, 1083, 623, 112421, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236800, 236761, 236819, 1263, 3714, 13319, 1083, 623, 160766, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236778, 236761, 236810, 1263, 3714, 13319, 1083, 623, 218772, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236770, 236761, 236771, 1263, 3714, 13319, 1083, 623, 49548, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236771, 236761, 236810, 1263, 3714, 13319, 1083, 623, 109180, 827, 623, 78226, 236779, 8318, 1083, 236743, 236828, 236819, 236761, 236819, 104960, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1855, 3104, 529, 4695, 3668, 9979, 19372, 684, 6782, 6317, 528, 52919, 1900, 236787, 108, 1018, 4163, 236743, 236778, 17647, 53121, 107, 236770, 236761, 5213, 162804, 1018, 753, 236743, 236819, 236828, 236761, 236810, 138, 107, 236778, 236761, 5213, 87866, 1018, 753, 236743, 236819, 236832, 236761, 236778, 138, 107, 236800, 236761, 5213, 67784, 1018, 753, 236743, 236819, 236825, 236761, 236828, 138, 107, 236812, 236761, 5213, 107305, 1018, 753, 236743, 236819, 236810, 236761, 236800, 138, 107, 236810, 236761, 5213, 154471, 1018, 753, 236743, 236819, 236812, 236761, 236832, 138, 107, 236825, 236761, 5213, 112421, 1018, 753, 236743, 236819, 236800, 236761, 236819, 138, 107, 236832, 236761, 5213, 160766, 1018, 753, 236743, 236819, 236778, 236761, 236810, 138, 107, 236828, 236761, 5213, 218772, 1018, 753, 236743, 236819, 236770, 236761, 236771, 138, 107, 236819, 236761, 5213, 49548, 1018, 753, 236743, 236819, 236771, 236761, 236810, 138, 107, 236770, 236771, 236761, 5213, 109180, 1018, 753, 236743, 236828, 236819, 236761, 236819, 138, 108, 2094, 1262, 55462, 236743, 236810, 2558, 7704, 568, 236770, 236771, 9979, 810, 3104, 769, 21284, 611, 1133, 531, 11327, 3530, 19455, 1133, 8379, 4249, 653, 2157, 529, 4882, 573, 1239, 9979, 236764, 653, 18840, 1032, 9576, 573, 9960, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 9795, 496, 4389, 607, 496, 11858, 7299, 2203, 22020, 9979, 3418, 4695, 5711, 236761, 564, 1202, 496, 1694, 529, 9979, 19372, 684, 910, 6782, 6317, 528, 52919, 1900, 236764, 6807, 236743, 236770, 236771, 16227, 810, 3104, 236761, 28344, 611, 33205, 506, 1855, 3104, 529, 1262, 236881, 564, 1461, 531, 18840, 837, 9979, 8345, 7310, 573, 496, 11048, 564, 236789, 236757, 17373, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 13319, 1083, 623, 162804, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236828, 236761, 236810, 1263, 3714, 13319, 1083, 623, 87866, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236832, 236761, 236778, 1263, 3714, 13319, 1083, 623, 67784, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236825, 236761, 236828, 1263, 3714, 13319, 1083, 623, 107305, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236810, 236761, 236800, 1263, 3714, 13319, 1083, 623, 154471, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236812, 236761, 236832, 1263, 3714, 13319, 1083, 623, 112421, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236800, 236761, 236819, 1263, 3714, 13319, 1083, 623, 160766, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236778, 236761, 236810, 1263, 3714, 13319, 1083, 623, 218772, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236770, 236761, 236771, 1263, 3714, 13319, 1083, 623, 49548, 827, 623, 78226, 236779, 8318, 1083, 236743, 236819, 236771, 236761, 236810, 1263, 3714, 13319, 1083, 623, 109180, 827, 623, 78226, 236779, 8318, 1083, 236743, 236828, 236819, 236761, 236819, 104960, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1855, 3104, 529, 4695, 3668, 9979, 19372, 684, 6782, 6317, 528, 52919, 1900, 236787, 108, 1018, 4163, 236743, 236778, 17647, 53121, 107, 236770, 236761, 5213, 162804, 1018, 753, 236743, 236819, 236828, 236761, 236810, 138, 107, 236778, 236761, 5213, 87866, 1018, 753, 236743, 236819, 236832, 236761, 236778, 138, 107, 236800, 236761, 5213, 67784, 1018, 753, 236743, 236819, 236825, 236761, 236828, 138, 107, 236812, 236761, 5213, 107305, 1018, 753, 236743, 236819, 236810, 236761, 236800, 138, 107, 236810, 236761, 5213, 154471, 1018, 753, 236743, 236819, 236812, 236761, 236832, 138, 107, 236825, 236761, 5213, 112421, 1018, 753, 236743, 236819, 236800, 236761, 236819, 138, 107, 236832, 236761, 5213, 160766, 1018, 753, 236743, 236819, 236778, 236761, 236810, 138, 107, 236828, 236761, 5213, 218772, 1018, 753, 236743, 236819, 236770, 236761, 236771, 138, 107, 236819, 236761, 5213, 49548, 1018, 753, 236743, 236819, 236771, 236761, 236810, 138, 107, 236770, 236771, 236761, 5213, 109180, 1018, 753, 236743, 236828, 236819, 236761, 236819, 138, 108, 2094, 1262, 55462, 236743, 236810, 2558, 7704, 568, 236770, 236771, 9979, 810, 3104, 769, 21284, 611, 1133, 531, 11327, 3530, 19455, 1133, 8379, 4249, 653, 2157, 529, 4882, 573, 1239, 9979, 236764, 653, 18840, 1032, 9576, 573, 9960, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236764, 8324, 236761, 1599, 1460, 236764, 564, 236789, 236757, 2056, 495, 236789, 531, 22023, 872, 1070, 28242, 573, 1041, 861, 3399, 7972, 2203, 1024, 528, 122677, 64549, 236761, 564, 236789, 560, 2506, 506, 25301, 532, 506, 15003, 5508, 236764, 840, 564, 236789, 236757, 1202, 495, 236789, 496, 108066, 63772, 531, 13098, 580, 506, 22295, 532, 974, 18361, 7467, 236761, 1599, 2506, 600, 1960, 236779, 236751, 208489, 5904, 236881, 3792, 236789, 236751, 2247, 625, 531, 981, 236761, 564, 236789, 236757, 1751, 495, 236789, 506, 1463, 1374, 577, 235293, 495, 236789, 1133, 756, 236863, 5861, 236789, 236751, 7086, 39980, 236789, 1271, 14045, 236764, 600, 236789, 236751, 2506, 496, 6290, 7610, 531, 625, 236761, 2900, 776, 611, 1879, 611, 3944, 872, 496, 2321, 3835, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236751, 208489, 1083, 623, 44412, 29743, 236764, 117948, 29743, 657, 730, 5861, 236789, 236751, 7086, 39980, 41218, 623, 36988, 4853, 1083, 11058, 10936, 7685, 50275, 146286, 9567, 74758, 41218, 623, 163726, 59100, 11493, 236764, 3656, 15748, 657, 496, 7578, 10498, 623, 236863, 5861, 236789, 236751, 7086, 39980, 236787, 10603, 15007, 137276, 181963, 9332, 1604, 623, 23019, 236779, 1201, 1083, 623, 236863, 5861, 236789, 236751, 7086, 39980, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 28239, 63772, 3835, 573, 5213, 236863, 5861, 236789, 236751, 7086, 39980, 1018, 531, 14838, 28242, 528, 122677, 64549, 236787, 108, 236770, 236761, 5213, 236775, 44412, 29743, 236764, 117948, 29743, 657, 730, 5861, 236789, 236751, 7086, 39980, 9332, 1018, 138, 107, 139, 236829, 236776, 60902, 26339, 580, 3399, 532, 74759, 236888, 236829, 138, 108, 236778, 236761, 5213, 236775, 10936, 7685, 50275, 146286, 9567, 74758, 9332, 1018, 138, 107, 139, 236829, 5493, 9042, 5411, 3877, 236764, 2065, 236764, 532, 185782, 9603, 138, 108, 236800, 236761, 5213, 236775, 163726, 59100, 11493, 236764, 3656, 15748, 657, 496, 7578, 1781, 1018, 138, 107, 139, 236829, 126115, 13859, 532, 16932, 5609, 9603, 138, 108, 236812, 236761, 5213, 236775, 236863, 5861, 236789, 236751, 7086, 39980, 236787, 10603, 15007, 137276, 181963, 9332, 1018, 138, 107, 139, 236829, 236776, 108066, 117370, 600, 23948, 528, 3399, 532, 4135, 9603, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 100257, 1027, 529, 1239, 653, 8729, 919, 24277, 236888, 178829, 239794, 106, 107, 105, 2364, 107, 46003, 45477, 236764, 8324, 236888, 3143, 116509, 659, 130201, 495, 236789, 1070, 1535, 6549, 236761, 4224, 236764, 564, 96678, 692, 1202, 496, 5154, 1548, 18361, 740, 2246, 768, 901, 44534, 974, 5418, 236761, 564, 81660, 16658, 1679, 672, 1548, 236787, 568, 236778, 236778, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 236761, 2024, 564, 35729, 236789, 236745, 2889, 768, 625, 236789, 236751, 4341, 653, 1164, 1070, 4945, 564, 68121, 872, 1651, 164726, 495, 236789, 528, 1041, 124695, 236761, 28344, 611, 1845, 600, 18855, 5904, 580, 625, 236881, 197858, 1386, 2889, 18361, 740, 3643, 5370, 786, 1056, 901, 974, 784, 9775, 1003, 3995, 714, 48702, 532, 3399, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236764, 623, 5939, 1083, 3714, 65739, 1083, 10955, 236770, 236743, 236778, 236778, 236810, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 6047, 1083, 33865, 236778, 236778, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 23179, 623, 14801, 1083, 3714, 3970, 1083, 623, 3118, 827, 623, 1201, 1083, 623, 27211, 4184, 827, 623, 20836, 1083, 10955, 236770, 23179, 623, 7125, 1083, 623, 202633, 827, 623, 82506, 1083, 623, 41387, 827, 623, 1257, 236779, 2084, 1083, 623, 25611, 236779, 1257, 827, 623, 5034, 1083, 2416, 236764, 623, 14210, 1083, 623, 4452, 563, 4341, 528, 6518, 840, 1149, 577, 14512, 653, 48029, 568, 236810, 236810, 236810, 24905, 563, 3187, 1456, 573, 57728, 4945, 16291, 236783, 106, 107, 105, 4368, 107, 11947, 4668, 532, 496, 15005, 236772, 1048, 236764, 8324, 236888, 138, 108, 818, 1548, 5213, 236769, 236778, 236778, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 1018, 17507, 855, 528, 6518, 532, 563, 12314, 531, 5213, 202633, 236764, 2590, 1018, 568, 236799, 18512, 64549, 2433, 769, 3153, 236764, 993, 236858, 236751, 496, 81725, 236787, 138, 107, 236772, 669, 5213, 236810, 236810, 236810, 24905, 1018, 563, 11082, 14512, 573, 57728, 236786, 17541, 8616, 532, 5889, 236858, 236745, 5158, 528, 1759, 236772, 12392, 1161, 236761, 138, 107, 236772, 669, 5904, 236858, 236751, 3072, 44898, 625, 236858, 236751, 496, 5213, 4730, 6518, 1018, 840, 11373, 618, 5213, 106177, 1018, 568, 814, 18361, 2810, 236858, 236745, 3643, 5370, 611, 769, 138, 108, 2866, 531, 3732, 496, 1759, 1548, 236888, 178829, 138, 107, 3048, 236858, 859, 1202, 531, 90609, 496, 2844, 2263, 1548, 1343, 496, 2509, 1133, 5213, 19540, 34353, 125546, 5213, 30379, 33252, 125546, 653, 496, 122677, 64549, 236772, 5140, 15903, 531, 5330, 18361, 740, 5370, 611, 1003, 3995, 714, 48702, 532, 3399, 211464, 236761, 32647, 1601, 8159, 496, 3892, 1548, 236881, 3792, 786, 1281, 236888, 106, 107, 105, 2364, 107, 46003, 45477, 573, 506, 15005, 236772, 1048, 236888, 100391, 564, 236789, 859, 1202, 531, 19480, 684, 506, 2263, 15903, 532, 3732, 1070, 14546, 607, 496, 1759, 1548, 236761, 2024, 1651, 692, 236789, 500, 25427, 1506, 46195, 963, 564, 2506, 2264, 129708, 237028, 7843, 236789, 236751, 506, 8827, 2727, 3541, 1041, 7972, 8541, 580, 39357, 127574, 236881, 564, 1461, 18361, 531, 6309, 528, 7080, 618, 32052, 1709, 1056, 692, 4253, 1023, 4159, 8115, 2148, 8224, 236761, 28344, 611, 2426, 506, 4284, 8827, 573, 5213, 236799, 18512, 64549, 236764, 11404, 236764, 39357, 26152, 125546, 2101, 5213, 236770, 236771, 8151, 580, 5365, 236743, 236770, 236800, 594, 1018, 236881, 3792, 236789, 236751, 1386, 2889, 951, 8827, 101380, 89887, 506, 12690, 208762, 1023, 48702, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 47340, 236779, 5909, 1083, 623, 114292, 827, 623, 2078, 11568, 1083, 11058, 54875, 5431, 3541, 167315, 26152, 47388, 827, 623, 127033, 30246, 580, 55740, 39357, 127574, 657, 236743, 236819, 236787, 236812, 236810, 8151, 14255, 623, 85038, 567, 1083, 623, 60957, 1374, 2727, 35495, 607, 2653, 30583, 529, 236743, 236810, 236772, 236828, 4310, 528, 506, 5431, 10202, 236761, 11101, 1117, 12286, 531, 2174, 4481, 4301, 990, 532, 1966, 1759, 236772, 2289, 17042, 13283, 573, 12567, 42301, 1781, 236783, 106, 107, 105, 4368, 107, 60957, 580, 5213, 202509, 26152, 1018, 528, 122677, 64549, 2101, 5213, 236770, 236771, 8151, 580, 5365, 236743, 236770, 236800, 594, 1018, 563, 15282, 531, 577, 5213, 114292, 125546, 607, 236787, 138, 107, 236772, 5213, 66476, 5431, 1018, 3541, 506, 167315, 26152, 47388, 236761, 138, 107, 236772, 1455, 5213, 127033, 30246, 1018, 6517, 600, 5597, 568, 502, 236743, 236819, 236787, 236812, 236810, 8151, 769, 138, 108, 1018, 211199, 53121, 138, 107, 236772, 39657, 1374, 2727, 35495, 6782, 236764, 840, 2414, 5213, 236810, 236964, 236828, 9641, 30583, 1018, 528, 506, 5431, 10202, 236761, 138, 107, 236772, 11101, 1117, 12286, 531, 1161, 1759, 236772, 2289, 13283, 1133, 5213, 19540, 39247, 1018, 653, 5213, 236824, 12604, 1018, 573, 58889, 6887, 532, 531, 5264, 496, 40961, 6517, 1082, 10925, 236761, 138, 108, 3771, 3262, 101380, 531, 12141, 1003, 237028, 4017, 496, 2321, 74857, 528, 506, 4284, 236761, 1599, 236858, 859, 1461, 531, 8134, 672, 528, 822, 2460, 82925, 834, 18361, 1537, 236858, 236745, 4305, 506, 4159, 8115, 236888, 236743, 245701, 242980, 138, 108, 30134, 1601, 66582, 496, 8827, 36639, 573, 822, 12286, 236881, 3792, 786, 1281, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236764, 8324, 236761, 1599, 1460, 236764, 564, 236789, 236757, 2056, 495, 236789, 531, 22023, 872, 1070, 28242, 573, 1041, 861, 3399, 7972, 2203, 1024, 528, 122677, 64549, 236761, 564, 236789, 560, 2506, 506, 25301, 532, 506, 15003, 5508, 236764, 840, 564, 236789, 236757, 1202, 495, 236789, 496, 108066, 63772, 531, 13098, 580, 506, 22295, 532, 974, 18361, 7467, 236761, 1599, 2506, 600, 1960, 236779, 236751, 208489, 5904, 236881, 3792, 236789, 236751, 2247, 625, 531, 981, 236761, 564, 236789, 236757, 1751, 495, 236789, 506, 1463, 1374, 577, 235293, 495, 236789, 1133, 756, 236863, 5861, 236789, 236751, 7086, 39980, 236789, 1271, 14045, 236764, 600, 236789, 236751, 2506, 496, 6290, 7610, 531, 625, 236761, 2900, 776, 611, 1879, 611, 3944, 872, 496, 2321, 3835, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236751, 208489, 1083, 623, 44412, 29743, 236764, 117948, 29743, 657, 730, 5861, 236789, 236751, 7086, 39980, 41218, 623, 36988, 4853, 1083, 11058, 10936, 7685, 50275, 146286, 9567, 74758, 41218, 623, 163726, 59100, 11493, 236764, 3656, 15748, 657, 496, 7578, 10498, 623, 236863, 5861, 236789, 236751, 7086, 39980, 236787, 10603, 15007, 137276, 181963, 9332, 1604, 623, 23019, 236779, 1201, 1083, 623, 236863, 5861, 236789, 236751, 7086, 39980, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 28239, 63772, 3835, 573, 5213, 236863, 5861, 236789, 236751, 7086, 39980, 1018, 531, 14838, 28242, 528, 122677, 64549, 236787, 108, 236770, 236761, 5213, 236775, 44412, 29743, 236764, 117948, 29743, 657, 730, 5861, 236789, 236751, 7086, 39980, 9332, 1018, 138, 107, 139, 236829, 236776, 60902, 26339, 580, 3399, 532, 74759, 236888, 236829, 138, 108, 236778, 236761, 5213, 236775, 10936, 7685, 50275, 146286, 9567, 74758, 9332, 1018, 138, 107, 139, 236829, 5493, 9042, 5411, 3877, 236764, 2065, 236764, 532, 185782, 9603, 138, 108, 236800, 236761, 5213, 236775, 163726, 59100, 11493, 236764, 3656, 15748, 657, 496, 7578, 1781, 1018, 138, 107, 139, 236829, 126115, 13859, 532, 16932, 5609, 9603, 138, 108, 236812, 236761, 5213, 236775, 236863, 5861, 236789, 236751, 7086, 39980, 236787, 10603, 15007, 137276, 181963, 9332, 1018, 138, 107, 139, 236829, 236776, 108066, 117370, 600, 23948, 528, 3399, 532, 4135, 9603, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 100257, 1027, 529, 1239, 653, 8729, 919, 24277, 236888, 178829, 239794, 106, 107, 105, 2364, 107, 46003, 45477, 236764, 8324, 236888, 3143, 116509, 659, 130201, 495, 236789, 1070, 1535, 6549, 236761, 4224, 236764, 564, 96678, 692, 1202, 496, 5154, 1548, 18361, 740, 2246, 768, 901, 44534, 974, 5418, 236761, 564, 81660, 16658, 1679, 672, 1548, 236787, 568, 236778, 236778, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 236761, 2024, 564, 35729, 236789, 236745, 2889, 768, 625, 236789, 236751, 4341, 653, 1164, 1070, 4945, 564, 68121, 872, 1651, 164726, 495, 236789, 528, 1041, 124695, 236761, 28344, 611, 1845, 600, 18855, 5904, 580, 625, 236881, 197858, 1386, 2889, 18361, 740, 3643, 5370, 786, 1056, 901, 974, 784, 9775, 1003, 3995, 714, 48702, 532, 3399, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 1083, 1847, 236764, 623, 5939, 1083, 3714, 65739, 1083, 10955, 236770, 236743, 236778, 236778, 236810, 236772, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 6047, 1083, 33865, 236778, 236778, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 23179, 623, 14801, 1083, 3714, 3970, 1083, 623, 3118, 827, 623, 1201, 1083, 623, 27211, 4184, 827, 623, 20836, 1083, 10955, 236770, 23179, 623, 7125, 1083, 623, 202633, 827, 623, 82506, 1083, 623, 41387, 827, 623, 1257, 236779, 2084, 1083, 623, 25611, 236779, 1257, 827, 623, 5034, 1083, 2416, 236764, 623, 14210, 1083, 623, 4452, 563, 4341, 528, 6518, 840, 1149, 577, 14512, 653, 48029, 568, 236810, 236810, 236810, 24905, 563, 3187, 1456, 573, 57728, 4945, 16291, 236783, 106, 107, 105, 4368, 107, 11947, 4668, 532, 496, 15005, 236772, 1048, 236764, 8324, 236888, 138, 108, 818, 1548, 5213, 236769, 236778, 236778, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 1018, 17507, 855, 528, 6518, 532, 563, 12314, 531, 5213, 202633, 236764, 2590, 1018, 568, 236799, 18512, 64549, 2433, 769, 3153, 236764, 993, 236858, 236751, 496, 81725, 236787, 138, 107, 236772, 669, 5213, 236810, 236810, 236810, 24905, 1018, 563, 11082, 14512, 573, 57728, 236786, 17541, 8616, 532, 5889, 236858, 236745, 5158, 528, 1759, 236772, 12392, 1161, 236761, 138, 107, 236772, 669, 5904, 236858, 236751, 3072, 44898, 625, 236858, 236751, 496, 5213, 4730, 6518, 1018, 840, 11373, 618, 5213, 106177, 1018, 568, 814, 18361, 2810, 236858, 236745, 3643, 5370, 611, 769, 138, 108, 2866, 531, 3732, 496, 1759, 1548, 236888, 178829, 138, 107, 3048, 236858, 859, 1202, 531, 90609, 496, 2844, 2263, 1548, 1343, 496, 2509, 1133, 5213, 19540, 34353, 125546, 5213, 30379, 33252, 125546, 653, 496, 122677, 64549, 236772, 5140, 15903, 531, 5330, 18361, 740, 5370, 611, 1003, 3995, 714, 48702, 532, 3399, 211464, 236761, 32647, 1601, 8159, 496, 3892, 1548, 236881, 3792, 786, 1281, 236888, 106, 107, 105, 2364, 107, 46003, 45477, 573, 506, 15005, 236772, 1048, 236888, 100391, 564, 236789, 859, 1202, 531, 19480, 684, 506, 2263, 15903, 532, 3732, 1070, 14546, 607, 496, 1759, 1548, 236761, 2024, 1651, 692, 236789, 500, 25427, 1506, 46195, 963, 564, 2506, 2264, 129708, 237028, 7843, 236789, 236751, 506, 8827, 2727, 3541, 1041, 7972, 8541, 580, 39357, 127574, 236881, 564, 1461, 18361, 531, 6309, 528, 7080, 618, 32052, 1709, 1056, 692, 4253, 1023, 4159, 8115, 2148, 8224, 236761, 28344, 611, 2426, 506, 4284, 8827, 573, 5213, 236799, 18512, 64549, 236764, 11404, 236764, 39357, 26152, 125546, 2101, 5213, 236770, 236771, 8151, 580, 5365, 236743, 236770, 236800, 594, 1018, 236881, 3792, 236789, 236751, 1386, 2889, 951, 8827, 101380, 89887, 506, 12690, 208762, 1023, 48702, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 47340, 236779, 5909, 1083, 623, 114292, 827, 623, 2078, 11568, 1083, 11058, 54875, 5431, 3541, 167315, 26152, 47388, 827, 623, 127033, 30246, 580, 55740, 39357, 127574, 657, 236743, 236819, 236787, 236812, 236810, 8151, 14255, 623, 85038, 567, 1083, 623, 60957, 1374, 2727, 35495, 607, 2653, 30583, 529, 236743, 236810, 236772, 236828, 4310, 528, 506, 5431, 10202, 236761, 11101, 1117, 12286, 531, 2174, 4481, 4301, 990, 532, 1966, 1759, 236772, 2289, 17042, 13283, 573, 12567, 42301, 1781, 236783, 106, 107, 105, 4368, 107, 60957, 580, 5213, 202509, 26152, 1018, 528, 122677, 64549, 2101, 5213, 236770, 236771, 8151, 580, 5365, 236743, 236770, 236800, 594, 1018, 563, 15282, 531, 577, 5213, 114292, 125546, 607, 236787, 138, 107, 236772, 5213, 66476, 5431, 1018, 3541, 506, 167315, 26152, 47388, 236761, 138, 107, 236772, 1455, 5213, 127033, 30246, 1018, 6517, 600, 5597, 568, 502, 236743, 236819, 236787, 236812, 236810, 8151, 769, 138, 108, 1018, 211199, 53121, 138, 107, 236772, 39657, 1374, 2727, 35495, 6782, 236764, 840, 2414, 5213, 236810, 236964, 236828, 9641, 30583, 1018, 528, 506, 5431, 10202, 236761, 138, 107, 236772, 11101, 1117, 12286, 531, 1161, 1759, 236772, 2289, 13283, 1133, 5213, 19540, 39247, 1018, 653, 5213, 236824, 12604, 1018, 573, 58889, 6887, 532, 531, 5264, 496, 40961, 6517, 1082, 10925, 236761, 138, 108, 3771, 3262, 101380, 531, 12141, 1003, 237028, 4017, 496, 2321, 74857, 528, 506, 4284, 236761, 1599, 236858, 859, 1461, 531, 8134, 672, 528, 822, 2460, 82925, 834, 18361, 1537, 236858, 236745, 4305, 506, 4159, 8115, 236888, 236743, 245701, 242980, 138, 108, 30134, 1601, 66582, 496, 8827, 36639, 573, 822, 12286, 236881, 3792, 786, 1281, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 653, 2802, 8398, 22479, 3797, 236761, 3551, 1873, 18544, 563, 5809, 531, 31236, 11221, 2721, 580, 4500, 69570, 532, 48001, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 600, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 653, 2802, 8398, 22479, 3797, 236761, 3551, 1873, 18544, 563, 5809, 531, 31236, 11221, 2721, 580, 4500, 69570, 532, 48001, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 600, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 33904, 236764, 496, 2260, 5975, 4374, 528, 30128, 236761, 1191, 236789, 500, 6995, 496, 2197, 91624, 2148, 2069, 532, 564, 1461, 531, 1386, 496, 28976, 13415, 600, 236789, 236751, 13696, 684, 1023, 3207, 236789, 236751, 2780, 8317, 236761, 28344, 611, 1586, 496, 15028, 699, 496, 30128, 236772, 5140, 2780, 7200, 653, 4676, 236764, 1299, 9279, 506, 2558, 29304, 573, 625, 236881, 564, 1202, 625, 531, 577, 1208, 236743, 236810, 236771, 236771, 29304, 810, 12284, 573, 236743, 236770, 236771, 1331, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 181706, 558, 137127, 22059, 28991, 236787, 562, 30128, 27847, 827, 623, 6265, 1083, 623, 160766, 155775, 25098, 827, 623, 2451, 1083, 623, 2574, 1411, 728, 71935, 2139, 236761, 854, 236786, 117829, 236772, 1071, 25114, 236772, 13039, 236772, 130299, 827, 623, 6011, 1083, 623, 13149, 22637, 53284, 15416, 236789, 236751, 1769, 580, 506, 22799, 13415, 1699, 3155, 236772, 12901, 89831, 532, 28594, 76173, 236764, 18482, 496, 177219, 223338, 724, 16510, 221476, 3714, 3250, 1083, 623, 236770, 236771, 89712, 226754, 2981, 31238, 30128, 236789, 236751, 10353, 44357, 827, 623, 6265, 1083, 623, 818, 23468, 1037, 827, 623, 2451, 1083, 623, 2574, 1411, 663, 20362, 1037, 236761, 854, 236786, 728, 1591, 236772, 117829, 236772, 42544, 827, 623, 6011, 1083, 623, 24496, 580, 30128, 236789, 236751, 1903, 28976, 16746, 2440, 496, 28976, 756, 236763, 14814, 236789, 15358, 236774, 699, 669, 201074, 89712, 48127, 221476, 3714, 3250, 1083, 623, 42960, 13444, 9467, 89712, 183735, 236787, 30128, 236772, 5771, 827, 623, 6265, 1083, 623, 13149, 10353, 703, 26194, 827, 623, 2451, 1083, 623, 2574, 1411, 6047, 17625, 9985, 582, 236761, 854, 236786, 728, 1591, 236772, 117829, 236772, 10780, 5629, 827, 623, 6011, 1083, 623, 36120, 15028, 1699, 2263, 13153, 1133, 44685, 9380, 28003, 532, 39994, 236764, 12284, 236743, 236770, 236771, 22292, 1208, 236743, 236810, 236771, 236771, 29304, 810, 12284, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 125645, 1083, 236743, 236812, 236810, 236771, 236771, 236764, 623, 125645, 236779, 721, 236779, 102487, 1083, 236743, 236812, 236810, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4011, 15028, 573, 822, 30128, 236772, 52728, 28976, 2197, 91624, 236787, 108, 1018, 64020, 66515, 21437, 13444, 9467, 89712, 183735, 236787, 30128, 236772, 5771, 138, 107, 1018, 5825, 66515, 12263, 10353, 703, 26194, 138, 107, 1018, 6738, 66515, 870, 2574, 1411, 6047, 17625, 9985, 582, 236761, 854, 236786, 728, 1591, 236772, 117829, 236772, 10780, 5629, 5457, 2574, 1411, 6047, 17625, 9985, 582, 236761, 854, 236786, 728, 1591, 236772, 117829, 236772, 10780, 5629, 236768, 138, 107, 1018, 24355, 66515, 25735, 15028, 1699, 2263, 13153, 1133, 44685, 9380, 28003, 532, 39994, 236764, 12284, 236743, 236770, 236771, 22292, 236761, 108, 1018, 8571, 16272, 166977, 66515, 107, 236772, 12613, 29304, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 107, 236772, 195464, 810, 12284, 568, 1708, 236743, 236770, 236771, 1331, 1473, 5213, 236812, 236810, 236771, 1018, 568, 6460, 822, 236743, 236810, 236771, 236771, 236772, 182461, 4576, 236768, 108, 2094, 15028, 100146, 13275, 607, 30128, 236789, 236751, 2780, 8317, 532, 20239, 822, 33901, 6035, 236761, 21284, 611, 1133, 786, 531, 4024, 506, 2587, 15028, 11808, 699, 506, 4676, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 33904, 236764, 496, 2260, 5975, 4374, 528, 30128, 236761, 1191, 236789, 500, 6995, 496, 2197, 91624, 2148, 2069, 532, 564, 1461, 531, 1386, 496, 28976, 13415, 600, 236789, 236751, 13696, 684, 1023, 3207, 236789, 236751, 2780, 8317, 236761, 28344, 611, 1586, 496, 15028, 699, 496, 30128, 236772, 5140, 2780, 7200, 653, 4676, 236764, 1299, 9279, 506, 2558, 29304, 573, 625, 236881, 564, 1202, 625, 531, 577, 1208, 236743, 236810, 236771, 236771, 29304, 810, 12284, 573, 236743, 236770, 236771, 1331, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 181706, 558, 137127, 22059, 28991, 236787, 562, 30128, 27847, 827, 623, 6265, 1083, 623, 160766, 155775, 25098, 827, 623, 2451, 1083, 623, 2574, 1411, 728, 71935, 2139, 236761, 854, 236786, 117829, 236772, 1071, 25114, 236772, 13039, 236772, 130299, 827, 623, 6011, 1083, 623, 13149, 22637, 53284, 15416, 236789, 236751, 1769, 580, 506, 22799, 13415, 1699, 3155, 236772, 12901, 89831, 532, 28594, 76173, 236764, 18482, 496, 177219, 223338, 724, 16510, 221476, 3714, 3250, 1083, 623, 236770, 236771, 89712, 226754, 2981, 31238, 30128, 236789, 236751, 10353, 44357, 827, 623, 6265, 1083, 623, 818, 23468, 1037, 827, 623, 2451, 1083, 623, 2574, 1411, 663, 20362, 1037, 236761, 854, 236786, 728, 1591, 236772, 117829, 236772, 42544, 827, 623, 6011, 1083, 623, 24496, 580, 30128, 236789, 236751, 1903, 28976, 16746, 2440, 496, 28976, 756, 236763, 14814, 236789, 15358, 236774, 699, 669, 201074, 89712, 48127, 221476, 3714, 3250, 1083, 623, 42960, 13444, 9467, 89712, 183735, 236787, 30128, 236772, 5771, 827, 623, 6265, 1083, 623, 13149, 10353, 703, 26194, 827, 623, 2451, 1083, 623, 2574, 1411, 6047, 17625, 9985, 582, 236761, 854, 236786, 728, 1591, 236772, 117829, 236772, 10780, 5629, 827, 623, 6011, 1083, 623, 36120, 15028, 1699, 2263, 13153, 1133, 44685, 9380, 28003, 532, 39994, 236764, 12284, 236743, 236770, 236771, 22292, 1208, 236743, 236810, 236771, 236771, 29304, 810, 12284, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 125645, 1083, 236743, 236812, 236810, 236771, 236771, 236764, 623, 125645, 236779, 721, 236779, 102487, 1083, 236743, 236812, 236810, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4011, 15028, 573, 822, 30128, 236772, 52728, 28976, 2197, 91624, 236787, 108, 1018, 64020, 66515, 21437, 13444, 9467, 89712, 183735, 236787, 30128, 236772, 5771, 138, 107, 1018, 5825, 66515, 12263, 10353, 703, 26194, 138, 107, 1018, 6738, 66515, 870, 2574, 1411, 6047, 17625, 9985, 582, 236761, 854, 236786, 728, 1591, 236772, 117829, 236772, 10780, 5629, 5457, 2574, 1411, 6047, 17625, 9985, 582, 236761, 854, 236786, 728, 1591, 236772, 117829, 236772, 10780, 5629, 236768, 138, 107, 1018, 24355, 66515, 25735, 15028, 1699, 2263, 13153, 1133, 44685, 9380, 28003, 532, 39994, 236764, 12284, 236743, 236770, 236771, 22292, 236761, 108, 1018, 8571, 16272, 166977, 66515, 107, 236772, 12613, 29304, 236787, 236743, 236812, 236764, 236810, 236771, 236771, 107, 236772, 195464, 810, 12284, 568, 1708, 236743, 236770, 236771, 1331, 1473, 5213, 236812, 236810, 236771, 1018, 568, 6460, 822, 236743, 236810, 236771, 236771, 236772, 182461, 4576, 236768, 108, 2094, 15028, 100146, 13275, 607, 30128, 236789, 236751, 2780, 8317, 532, 20239, 822, 33901, 6035, 236761, 21284, 611, 1133, 786, 531, 4024, 506, 2587, 15028, 11808, 699, 506, 4676, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 6845, 768, 506, 2483, 93501, 3507, 3805, 16454, 236789, 815, 4341, 62334, 106, 107, 105, 4368, 107, 818, 2483, 93501, 3507, 3805, 16454, 236789, 7087, 16329, 573, 4341, 62334, 236764, 837, 13842, 17096, 600, 41706, 659, 9668, 8678, 532, 6535, 528, 506, 4338, 1900, 236761, 3153, 236764, 5213, 9745, 529, 506, 3847, 6436, 1018, 740, 2121, 672, 4209, 236761, 236743, 108, 3048, 1093, 1202, 496, 2401, 1292, 568, 2217, 2487, 1590, 236768, 600, 6178, 496, 10166, 531, 4087, 8115, 41706, 532, 104755, 16590, 16996, 41706, 528, 7501, 236761, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 6845, 768, 506, 2483, 93501, 3507, 3805, 16454, 236789, 815, 4341, 62334, 106, 107, 105, 4368, 107, 818, 2483, 93501, 3507, 3805, 16454, 236789, 7087, 16329, 573, 4341, 62334, 236764, 837, 13842, 17096, 600, 41706, 659, 9668, 8678, 532, 6535, 528, 506, 4338, 1900, 236761, 3153, 236764, 5213, 9745, 529, 506, 3847, 6436, 1018, 740, 2121, 672, 4209, 236761, 236743, 108, 3048, 1093, 1202, 496, 2401, 1292, 568, 2217, 2487, 1590, 236768, 600, 6178, 496, 10166, 531, 4087, 8115, 41706, 532, 104755, 16590, 16996, 41706, 528, 7501, 236761, 106, 107, 105, 2364, 107, 236777, 735, 10448, 1070, 919, 5151, 611, 740, 5347, 699, 236761, 2900, 1003, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2619, 496, 5177, 1610, 6347, 13696, 684, 34499, 129379, 21637, 6540, 532, 13872, 236928, 1904, 82663, 236761, 5315, 236764, 1161, 5213, 68925, 236779, 2806, 2520, 1090, 236779, 14992, 2643, 1018, 607, 2434, 236779, 547, 236784, 236812, 236810, 236825, 568, 174934, 2879, 585, 569, 565, 25653, 527, 236768, 531, 1586, 37361, 7974, 236761, 12067, 236764, 1161, 5213, 34187, 236779, 83027, 1018, 531, 12270, 46331, 699, 496, 9526, 1694, 11554, 531, 1239, 71978, 237028, 1930, 1694, 236779, 30948, 236784, 62372, 236779, 8028, 907, 504, 2486, 236761, 121353, 506, 19659, 5192, 528, 1239, 46331, 607, 5213, 187671, 236779, 1005, 236779, 19859, 125546, 1299, 59638, 506, 1816, 607, 5213, 1005, 236779, 137570, 1849, 1018, 531, 12262, 496, 73887, 6492, 66051, 506, 22888, 1131, 1041, 1610, 236761, 3792, 236858, 236751, 1502, 607, 506, 2434, 71978, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2806, 2520, 1090, 1083, 78493, 14992, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236764, 623, 1201, 1083, 623, 2704, 3315, 569, 3353, 582, 236785, 236756, 236771, 236771, 236760, 138222, 827, 623, 80043, 1083, 623, 162890, 43008, 56433, 9654, 827, 623, 103832, 236779, 2084, 1083, 623, 54875, 236779, 80043, 23179, 3714, 14992, 236779, 547, 1083, 236743, 236770, 236771, 236770, 236764, 623, 1201, 1083, 623, 20769, 9510, 569, 5054, 22424, 827, 623, 80043, 1083, 623, 162890, 43008, 18568, 56433, 9654, 827, 623, 103832, 236779, 2084, 1083, 623, 28964, 514, 236779, 59937, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 2861, 1083, 623, 46456, 11995, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 83027, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 1005, 1083, 623, 4976, 8263, 236785, 236756, 236771, 236771, 524, 74087, 569, 1450, 13872, 236785, 236756, 236771, 236771, 524, 17327, 1533, 236785, 236756, 236771, 236771, 12064, 610, 59435, 569, 1450, 90599, 2879, 585, 569, 565, 25653, 527, 6820, 42091, 621, 689, 236828, 236800, 236755, 236785, 689, 16652, 236771, 236785, 236756, 236778, 236832, 236778, 236828, 997, 72505, 5241, 46322, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 827, 623, 2364, 1083, 3714, 7656, 236779, 1201, 1083, 623, 3912, 511, 2176, 236799, 31444, 3271, 827, 623, 1201, 1083, 623, 96630, 587, 236785, 236756, 236771, 236771, 236744, 236819, 226478, 827, 623, 7125, 1083, 623, 236780, 25653, 527, 236764, 34499, 43008, 23179, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236832, 827, 623, 1005, 1083, 623, 11896, 38633, 1041, 13872, 236785, 236756, 236771, 236771, 524, 1904, 904, 14265, 573, 16677, 531, 1460, 506, 55126, 6396, 7728, 236761, 1851, 3315, 2290, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 128682, 236785, 236756, 236778, 236825, 1553, 997, 12051, 12051, 827, 623, 2364, 1083, 3714, 7656, 236779, 1201, 1083, 623, 107793, 556, 588, 80262, 827, 623, 1201, 1083, 623, 36546, 5287, 72558, 827, 623, 7125, 1083, 623, 23243, 22424, 236764, 9206, 23179, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236819, 236787, 236770, 236828, 236787, 236812, 236778, 236953, 25938, 1604, 623, 4874, 236779, 14423, 1083, 623, 236770, 236832, 236828, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236828, 827, 623, 21052, 1083, 3714, 2234, 236779, 7777, 1083, 623, 179313, 5311, 181978, 6001, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 570, 664, 45811, 236747, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 9226, 591, 759, 1116, 4666, 5787, 236785, 236756, 236771, 236771, 524, 1789, 827, 623, 72906, 236779, 2861, 1083, 236743, 236810, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19859, 236779, 28263, 1083, 3714, 121774, 236779, 70496, 1083, 78493, 19859, 1083, 623, 80353, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 3231, 1083, 623, 24469, 236749, 23179, 3714, 19859, 1083, 623, 27832, 827, 623, 58578, 1083, 236743, 236771, 236761, 236770, 236828, 236764, 623, 3231, 1083, 623, 24469, 236749, 25938, 1604, 623, 1005, 236779, 13271, 1083, 623, 4976, 8263, 236785, 236756, 236771, 236771, 524, 74087, 569, 1450, 13872, 236785, 236756, 236771, 236771, 524, 17327, 1533, 236785, 236756, 236771, 236771, 12064, 610, 59435, 569, 1450, 90599, 2879, 585, 569, 565, 25653, 527, 6820, 42091, 621, 689, 236828, 236800, 236755, 236785, 689, 16652, 236771, 236785, 236756, 236778, 236832, 236778, 236828, 997, 72505, 5241, 46322, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 5393, 38633, 1041, 13872, 236785, 236756, 236771, 236771, 524, 1904, 904, 14265, 573, 16677, 531, 1460, 506, 55126, 6396, 7728, 236761, 1851, 3315, 2290, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 11038, 236778, 236785, 236756, 236778, 236825, 1553, 997, 12051, 12051, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 87367, 236779, 1005, 1083, 623, 4976, 8263, 236785, 236756, 236771, 236771, 524, 74087, 569, 1450, 13872, 236785, 236756, 236771, 236771, 524, 17327, 1533, 236785, 236756, 236771, 236771, 12064, 610, 59435, 569, 1450, 90599, 2879, 585, 569, 565, 25653, 527, 6820, 42091, 621, 236756, 236778, 236825, 1553, 236785, 236756, 236778, 236832, 236778, 236828, 997, 72505, 5241, 46322, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 236761, 621, 236756, 236771, 236771, 236746, 236770, 10271, 28931, 569, 87424, 9888, 3628, 904, 14265, 13872, 236785, 236756, 236771, 236771, 524, 1904, 1839, 1609, 124043, 1642, 1917, 862, 41947, 55126, 6396, 7728, 236761, 1851, 3315, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 3405, 236785, 77118, 236771, 236760, 236785, 689, 236828, 236800, 236744, 236785, 689, 1641, 236825, 997, 12051, 12051, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 18844, 529, 822, 9226, 2958, 573, 5177, 1610, 11381, 236787, 108, 236770, 236761, 5213, 18373, 12321, 2520, 1090, 1018, 138, 107, 139, 236772, 1851, 3315, 569, 3353, 582, 236959, 6461, 568, 66476, 9654, 753, 34499, 43008, 56433, 9654, 236768, 138, 107, 139, 236772, 6122, 9510, 569, 5054, 22424, 568, 51692, 514, 32300, 753, 34499, 43008, 18568, 56433, 9654, 236768, 108, 236778, 236761, 5213, 34207, 13768, 1018, 138, 107, 139, 236772, 23737, 638, 5192, 236787, 14361, 568, 236828, 236778, 236908, 10805, 236768, 607, 5422, 3393, 236772, 223176, 138, 107, 139, 236772, 32462, 59491, 236787, 13872, 236928, 1904, 104164, 568, 33739, 511, 236764, 30977, 236768, 55044, 607, 21637, 41001, 138, 107, 139, 236772, 31278, 118252, 236787, 997, 72505, 5241, 46322, 907, 504, 18849, 10560, 236764, 997, 12051, 12051, 568, 162890, 129379, 56433, 9654, 236768, 108, 236800, 236761, 5213, 10541, 6139, 17243, 573, 4585, 1018, 138, 107, 236775, 4976, 109479, 569, 1450, 13872, 7893, 585, 70640, 610, 59435, 569, 1450, 90599, 2879, 585, 569, 565, 25653, 527, 6820, 42091, 236743, 247844, 239794, 236761, 21764, 10271, 28931, 569, 87424, 9888, 3628, 904, 14265, 13872, 236928, 1904, 1839, 1609, 124043, 1642, 1917, 862, 41947, 55126, 6396, 7728, 236761, 1851, 3315, 236888, 236743, 252681, 238178, 478, 397, 408, 420, 997, 12051, 12051, 236775, 108, 2094, 1816, 59156, 13872, 236928, 1904, 82663, 568, 120361, 26309, 236764, 47991, 511, 236768, 607, 34499, 129379, 21637, 6540, 1343, 236787, 138, 107, 236772, 21974, 47199, 236752, 236772, 42179, 2434, 5618, 568, 174934, 2879, 585, 236764, 55126, 6396, 236768, 138, 107, 236772, 49175, 104164, 34846, 607, 4532, 8568, 138, 107, 236772, 8739, 236772, 223176, 1534, 14361, 532, 5422, 118252, 138, 107, 236772, 645, 1289, 92467, 18024, 72739, 23060, 568, 478, 397, 408, 420, 236768, 607, 21637, 568, 247844, 236768, 138, 108, 3048, 740, 1492, 27968, 1239, 4820, 1131, 822, 5177, 1610, 1343, 53091, 73945, 236764, 14413, 236772, 19859, 7426, 59491, 236764, 532, 42988, 2258, 140918, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2619, 496, 5177, 1610, 6347, 13696, 684, 34499, 129379, 21637, 6540, 532, 13872, 236928, 1904, 82663, 236761, 5315, 236764, 1161, 5213, 68925, 236779, 2806, 2520, 1090, 236779, 14992, 2643, 1018, 607, 2434, 236779, 547, 236784, 236812, 236810, 236825, 568, 174934, 2879, 585, 569, 565, 25653, 527, 236768, 531, 1586, 37361, 7974, 236761, 12067, 236764, 1161, 5213, 34187, 236779, 83027, 1018, 531, 12270, 46331, 699, 496, 9526, 1694, 11554, 531, 1239, 71978, 237028, 1930, 1694, 236779, 30948, 236784, 62372, 236779, 8028, 907, 504, 2486, 236761, 121353, 506, 19659, 5192, 528, 1239, 46331, 607, 5213, 187671, 236779, 1005, 236779, 19859, 125546, 1299, 59638, 506, 1816, 607, 5213, 1005, 236779, 137570, 1849, 1018, 531, 12262, 496, 73887, 6492, 66051, 506, 22888, 1131, 1041, 1610, 236761, 3792, 236858, 236751, 1502, 607, 506, 2434, 71978, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2806, 2520, 1090, 1083, 78493, 14992, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236764, 623, 1201, 1083, 623, 2704, 3315, 569, 3353, 582, 236785, 236756, 236771, 236771, 236760, 138222, 827, 623, 80043, 1083, 623, 162890, 43008, 56433, 9654, 827, 623, 103832, 236779, 2084, 1083, 623, 54875, 236779, 80043, 23179, 3714, 14992, 236779, 547, 1083, 236743, 236770, 236771, 236770, 236764, 623, 1201, 1083, 623, 20769, 9510, 569, 5054, 22424, 827, 623, 80043, 1083, 623, 162890, 43008, 18568, 56433, 9654, 827, 623, 103832, 236779, 2084, 1083, 623, 28964, 514, 236779, 59937, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 2861, 1083, 623, 46456, 11995, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 83027, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 1005, 1083, 623, 4976, 8263, 236785, 236756, 236771, 236771, 524, 74087, 569, 1450, 13872, 236785, 236756, 236771, 236771, 524, 17327, 1533, 236785, 236756, 236771, 236771, 12064, 610, 59435, 569, 1450, 90599, 2879, 585, 569, 565, 25653, 527, 6820, 42091, 621, 689, 236828, 236800, 236755, 236785, 689, 16652, 236771, 236785, 236756, 236778, 236832, 236778, 236828, 997, 72505, 5241, 46322, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 827, 623, 2364, 1083, 3714, 7656, 236779, 1201, 1083, 623, 3912, 511, 2176, 236799, 31444, 3271, 827, 623, 1201, 1083, 623, 96630, 587, 236785, 236756, 236771, 236771, 236744, 236819, 226478, 827, 623, 7125, 1083, 623, 236780, 25653, 527, 236764, 34499, 43008, 23179, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236832, 827, 623, 1005, 1083, 623, 11896, 38633, 1041, 13872, 236785, 236756, 236771, 236771, 524, 1904, 904, 14265, 573, 16677, 531, 1460, 506, 55126, 6396, 7728, 236761, 1851, 3315, 2290, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 128682, 236785, 236756, 236778, 236825, 1553, 997, 12051, 12051, 827, 623, 2364, 1083, 3714, 7656, 236779, 1201, 1083, 623, 107793, 556, 588, 80262, 827, 623, 1201, 1083, 623, 36546, 5287, 72558, 827, 623, 7125, 1083, 623, 23243, 22424, 236764, 9206, 23179, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236819, 236787, 236770, 236828, 236787, 236812, 236778, 236953, 25938, 1604, 623, 4874, 236779, 14423, 1083, 623, 236770, 236832, 236828, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236828, 827, 623, 21052, 1083, 3714, 2234, 236779, 7777, 1083, 623, 179313, 5311, 181978, 6001, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 570, 664, 45811, 236747, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 9226, 591, 759, 1116, 4666, 5787, 236785, 236756, 236771, 236771, 524, 1789, 827, 623, 72906, 236779, 2861, 1083, 236743, 236810, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19859, 236779, 28263, 1083, 3714, 121774, 236779, 70496, 1083, 78493, 19859, 1083, 623, 80353, 827, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 3231, 1083, 623, 24469, 236749, 23179, 3714, 19859, 1083, 623, 27832, 827, 623, 58578, 1083, 236743, 236771, 236761, 236770, 236828, 236764, 623, 3231, 1083, 623, 24469, 236749, 25938, 1604, 623, 1005, 236779, 13271, 1083, 623, 4976, 8263, 236785, 236756, 236771, 236771, 524, 74087, 569, 1450, 13872, 236785, 236756, 236771, 236771, 524, 17327, 1533, 236785, 236756, 236771, 236771, 12064, 610, 59435, 569, 1450, 90599, 2879, 585, 569, 565, 25653, 527, 6820, 42091, 621, 689, 236828, 236800, 236755, 236785, 689, 16652, 236771, 236785, 236756, 236778, 236832, 236778, 236828, 997, 72505, 5241, 46322, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 5393, 38633, 1041, 13872, 236785, 236756, 236771, 236771, 524, 1904, 904, 14265, 573, 16677, 531, 1460, 506, 55126, 6396, 7728, 236761, 1851, 3315, 2290, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 11038, 236778, 236785, 236756, 236778, 236825, 1553, 997, 12051, 12051, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 87367, 236779, 1005, 1083, 623, 4976, 8263, 236785, 236756, 236771, 236771, 524, 74087, 569, 1450, 13872, 236785, 236756, 236771, 236771, 524, 17327, 1533, 236785, 236756, 236771, 236771, 12064, 610, 59435, 569, 1450, 90599, 2879, 585, 569, 565, 25653, 527, 6820, 42091, 621, 236756, 236778, 236825, 1553, 236785, 236756, 236778, 236832, 236778, 236828, 997, 72505, 5241, 46322, 907, 504, 18849, 236785, 236756, 236771, 236771, 236760, 236770, 236746, 236761, 621, 236756, 236771, 236771, 236746, 236770, 10271, 28931, 569, 87424, 9888, 3628, 904, 14265, 13872, 236785, 236756, 236771, 236771, 524, 1904, 1839, 1609, 124043, 1642, 1917, 862, 41947, 55126, 6396, 7728, 236761, 1851, 3315, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 3405, 236785, 77118, 236771, 236760, 236785, 689, 236828, 236800, 236744, 236785, 689, 1641, 236825, 997, 12051, 12051, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 18844, 529, 822, 9226, 2958, 573, 5177, 1610, 11381, 236787, 108, 236770, 236761, 5213, 18373, 12321, 2520, 1090, 1018, 138, 107, 139, 236772, 1851, 3315, 569, 3353, 582, 236959, 6461, 568, 66476, 9654, 753, 34499, 43008, 56433, 9654, 236768, 138, 107, 139, 236772, 6122, 9510, 569, 5054, 22424, 568, 51692, 514, 32300, 753, 34499, 43008, 18568, 56433, 9654, 236768, 108, 236778, 236761, 5213, 34207, 13768, 1018, 138, 107, 139, 236772, 23737, 638, 5192, 236787, 14361, 568, 236828, 236778, 236908, 10805, 236768, 607, 5422, 3393, 236772, 223176, 138, 107, 139, 236772, 32462, 59491, 236787, 13872, 236928, 1904, 104164, 568, 33739, 511, 236764, 30977, 236768, 55044, 607, 21637, 41001, 138, 107, 139, 236772, 31278, 118252, 236787, 997, 72505, 5241, 46322, 907, 504, 18849, 10560, 236764, 997, 12051, 12051, 568, 162890, 129379, 56433, 9654, 236768, 108, 236800, 236761, 5213, 10541, 6139, 17243, 573, 4585, 1018, 138, 107, 236775, 4976, 109479, 569, 1450, 13872, 7893, 585, 70640, 610, 59435, 569, 1450, 90599, 2879, 585, 569, 565, 25653, 527, 6820, 42091, 236743, 247844, 239794, 236761, 21764, 10271, 28931, 569, 87424, 9888, 3628, 904, 14265, 13872, 236928, 1904, 1839, 1609, 124043, 1642, 1917, 862, 41947, 55126, 6396, 7728, 236761, 1851, 3315, 236888, 236743, 252681, 238178, 478, 397, 408, 420, 997, 12051, 12051, 236775, 108, 2094, 1816, 59156, 13872, 236928, 1904, 82663, 568, 120361, 26309, 236764, 47991, 511, 236768, 607, 34499, 129379, 21637, 6540, 1343, 236787, 138, 107, 236772, 21974, 47199, 236752, 236772, 42179, 2434, 5618, 568, 174934, 2879, 585, 236764, 55126, 6396, 236768, 138, 107, 236772, 49175, 104164, 34846, 607, 4532, 8568, 138, 107, 236772, 8739, 236772, 223176, 1534, 14361, 532, 5422, 118252, 138, 107, 236772, 645, 1289, 92467, 18024, 72739, 23060, 568, 478, 397, 408, 420, 236768, 607, 21637, 568, 247844, 236768, 138, 108, 3048, 740, 1492, 27968, 1239, 4820, 1131, 822, 5177, 1610, 1343, 53091, 73945, 236764, 14413, 236772, 19859, 7426, 59491, 236764, 532, 42988, 2258, 140918, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 6995, 496, 12441, 4598, 532, 614, 1610, 11764, 13696, 684, 87478, 54645, 236789, 236751, 981, 580, 11425, 236761, 564, 1202, 496, 14993, 699, 1116, 1003, 11425, 531, 2247, 580, 506, 6831, 532, 528, 506, 19717, 236761, 5315, 236764, 740, 611, 3927, 573, 496, 87478, 54645, 14993, 607, 506, 30136, 623, 112605, 51653, 4298, 236764, 564, 1461, 531, 1161, 506, 1171, 3658, 529, 600, 14993, 618, 506, 2862, 84390, 531, 974, 506, 3877, 10967, 573, 600, 2544, 236761, 1637, 506, 1171, 3658, 5889, 236789, 236745, 496, 4341, 84390, 236764, 1164, 1161, 623, 226046, 3056, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52231, 1083, 78493, 1005, 1083, 623, 106729, 563, 506, 1186, 3210, 5367, 13710, 573, 10498, 623, 6386, 1083, 623, 236774, 9487, 54645, 827, 623, 6265, 1083, 623, 19727, 4149, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 226046, 827, 623, 45882, 236779, 50257, 1083, 623, 236770, 236778, 236761, 236810, 70887, 623, 23735, 1083, 623, 236810, 1518, 827, 623, 6265, 1083, 623, 7741, 32857, 40035, 10252, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 87478, 54645, 14993, 611, 15633, 236764, 3008, 607, 506, 3877, 10967, 573, 506, 2862, 84390, 568, 3091, 623, 226046, 236775, 2338, 623, 106729, 236775, 5889, 236789, 236745, 496, 4341, 84390, 1473, 108, 1018, 40943, 573, 822, 6831, 236786, 716, 99641, 53121, 138, 107, 71510, 106729, 563, 506, 1186, 3210, 5367, 13710, 573, 1781, 236829, 138, 107, 237028, 87478, 54645, 236764, 808, 19727, 4149, 236829, 108, 1018, 83380, 10967, 573, 87342, 236798, 568, 31319, 5295, 67563, 1018, 138, 107, 236770, 236778, 236761, 236810, 236908, 1024, 236743, 236810, 1518, 568, 5825, 236787, 13474, 32857, 40035, 10252, 236768, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 506, 14993, 653, 11327, 1032, 2862, 1262, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 6995, 496, 12441, 4598, 532, 614, 1610, 11764, 13696, 684, 87478, 54645, 236789, 236751, 981, 580, 11425, 236761, 564, 1202, 496, 14993, 699, 1116, 1003, 11425, 531, 2247, 580, 506, 6831, 532, 528, 506, 19717, 236761, 5315, 236764, 740, 611, 3927, 573, 496, 87478, 54645, 14993, 607, 506, 30136, 623, 112605, 51653, 4298, 236764, 564, 1461, 531, 1161, 506, 1171, 3658, 529, 600, 14993, 618, 506, 2862, 84390, 531, 974, 506, 3877, 10967, 573, 600, 2544, 236761, 1637, 506, 1171, 3658, 5889, 236789, 236745, 496, 4341, 84390, 236764, 1164, 1161, 623, 226046, 3056, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52231, 1083, 78493, 1005, 1083, 623, 106729, 563, 506, 1186, 3210, 5367, 13710, 573, 10498, 623, 6386, 1083, 623, 236774, 9487, 54645, 827, 623, 6265, 1083, 623, 19727, 4149, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 226046, 827, 623, 45882, 236779, 50257, 1083, 623, 236770, 236778, 236761, 236810, 70887, 623, 23735, 1083, 623, 236810, 1518, 827, 623, 6265, 1083, 623, 7741, 32857, 40035, 10252, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 87478, 54645, 14993, 611, 15633, 236764, 3008, 607, 506, 3877, 10967, 573, 506, 2862, 84390, 568, 3091, 623, 226046, 236775, 2338, 623, 106729, 236775, 5889, 236789, 236745, 496, 4341, 84390, 1473, 108, 1018, 40943, 573, 822, 6831, 236786, 716, 99641, 53121, 138, 107, 71510, 106729, 563, 506, 1186, 3210, 5367, 13710, 573, 1781, 236829, 138, 107, 237028, 87478, 54645, 236764, 808, 19727, 4149, 236829, 108, 1018, 83380, 10967, 573, 87342, 236798, 568, 31319, 5295, 67563, 1018, 138, 107, 236770, 236778, 236761, 236810, 236908, 1024, 236743, 236810, 1518, 568, 5825, 236787, 13474, 32857, 40035, 10252, 236768, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 506, 14993, 653, 11327, 1032, 2862, 1262, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 1202, 531, 5039, 496, 32272, 36006, 531, 496, 34926, 528, 16584, 1003, 496, 16106, 4122, 6478, 16922, 236761, 669, 3618, 1374, 1161, 1023, 10056, 236789, 236751, 12314, 20276, 5853, 623, 31458, 236776, 754, 16978, 236775, 532, 3204, 506, 4889, 236787, 623, 42478, 657, 236743, 236770, 236771, 8151, 14658, 236761, 7323, 9128, 16257, 1781, 669, 27945, 1548, 563, 236743, 236819, 236778, 236800, 236771, 236771, 236770, 236770, 236778, 236778, 236800, 236800, 236812, 236812, 236761, 564, 236858, 560, 2506, 506, 91018, 1925, 3656, 9299, 28150, 699, 1023, 9053, 7920, 1271, 15345, 563, 623, 4554, 1833, 1108, 16602, 236775, 532, 8918, 623, 85692, 3503, 236779, 236778, 236771, 236778, 236812, 3056, 3199, 611, 6060, 672, 573, 786, 236881, 564, 1461, 531, 1386, 2889, 625, 236858, 236751, 9668, 45047, 532, 50054, 618, 5125, 7283, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 139168, 236797, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236778, 236771, 236772, 236832, 236828, 236819, 236771, 827, 623, 4818, 1083, 623, 15266, 827, 623, 13769, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 13308, 1083, 3714, 22298, 236779, 547, 1083, 623, 31458, 236776, 754, 16978, 827, 623, 92757, 1083, 623, 236819, 236778, 236800, 236771, 236771, 236770, 236770, 236778, 236778, 236800, 236800, 236812, 236812, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236832, 236787, 236770, 236810, 236787, 236778, 236778, 236953, 127096, 106, 107, 105, 4368, 107, 818, 36006, 32272, 815, 1010, 10428, 3265, 1343, 506, 91018, 1925, 3656, 44701, 607, 506, 2269, 26093, 236787, 108, 249979, 5213, 5124, 5853, 53121, 640, 146131, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236778, 236771, 236772, 236832, 236828, 236819, 236771, 138, 107, 240732, 5213, 6717, 53121, 30054, 138, 107, 247068, 5213, 23077, 53121, 236743, 250336, 236771, 236761, 236812, 236810, 568, 32436, 236794, 236768, 138, 107, 252074, 5213, 40573, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236743, 236771, 236832, 236787, 236770, 236810, 236787, 236778, 236778, 59528, 138, 107, 245215, 5213, 190719, 53121, 236743, 236819, 236778, 236800, 236771, 236771, 236770, 236770, 236778, 236778, 236800, 236800, 236812, 236812, 138, 107, 251785, 238178, 5213, 53204, 5853, 53121, 10668, 236776, 754, 16978, 138, 108, 818, 3618, 623, 42478, 657, 236743, 236770, 236771, 8151, 14658, 236761, 7323, 9128, 16257, 1781, 815, 1010, 12063, 532, 563, 50054, 618, 5125, 7283, 236761, 21284, 611, 1133, 786, 531, 6361, 607, 4658, 1663, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 1202, 531, 5039, 496, 32272, 36006, 531, 496, 34926, 528, 16584, 1003, 496, 16106, 4122, 6478, 16922, 236761, 669, 3618, 1374, 1161, 1023, 10056, 236789, 236751, 12314, 20276, 5853, 623, 31458, 236776, 754, 16978, 236775, 532, 3204, 506, 4889, 236787, 623, 42478, 657, 236743, 236770, 236771, 8151, 14658, 236761, 7323, 9128, 16257, 1781, 669, 27945, 1548, 563, 236743, 236819, 236778, 236800, 236771, 236771, 236770, 236770, 236778, 236778, 236800, 236800, 236812, 236812, 236761, 564, 236858, 560, 2506, 506, 91018, 1925, 3656, 9299, 28150, 699, 1023, 9053, 7920, 1271, 15345, 563, 623, 4554, 1833, 1108, 16602, 236775, 532, 8918, 623, 85692, 3503, 236779, 236778, 236771, 236778, 236812, 3056, 3199, 611, 6060, 672, 573, 786, 236881, 564, 1461, 531, 1386, 2889, 625, 236858, 236751, 9668, 45047, 532, 50054, 618, 5125, 7283, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 139168, 236797, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236778, 236771, 236772, 236832, 236828, 236819, 236771, 827, 623, 4818, 1083, 623, 15266, 827, 623, 13769, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 13308, 1083, 3714, 22298, 236779, 547, 1083, 623, 31458, 236776, 754, 16978, 827, 623, 92757, 1083, 623, 236819, 236778, 236800, 236771, 236771, 236770, 236770, 236778, 236778, 236800, 236800, 236812, 236812, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236832, 236787, 236770, 236810, 236787, 236778, 236778, 236953, 127096, 106, 107, 105, 4368, 107, 818, 36006, 32272, 815, 1010, 10428, 3265, 1343, 506, 91018, 1925, 3656, 44701, 607, 506, 2269, 26093, 236787, 108, 249979, 5213, 5124, 5853, 53121, 640, 146131, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236778, 236771, 236772, 236832, 236828, 236819, 236771, 138, 107, 240732, 5213, 6717, 53121, 30054, 138, 107, 247068, 5213, 23077, 53121, 236743, 250336, 236771, 236761, 236812, 236810, 568, 32436, 236794, 236768, 138, 107, 252074, 5213, 40573, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236743, 236771, 236832, 236787, 236770, 236810, 236787, 236778, 236778, 59528, 138, 107, 245215, 5213, 190719, 53121, 236743, 236819, 236778, 236800, 236771, 236771, 236770, 236770, 236778, 236778, 236800, 236800, 236812, 236812, 138, 107, 251785, 238178, 5213, 53204, 5853, 53121, 10668, 236776, 754, 16978, 138, 108, 818, 3618, 623, 42478, 657, 236743, 236770, 236771, 8151, 14658, 236761, 7323, 9128, 16257, 1781, 815, 1010, 12063, 532, 563, 50054, 618, 5125, 7283, 236761, 21284, 611, 1133, 786, 531, 6361, 607, 4658, 1663, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 822, 1601, 8159, 4668, 10308, 1003, 10022, 2352, 236789, 236751, 4100, 580, 6672, 24949, 528, 14874, 236764, 10916, 699, 23372, 7074, 653, 669, 43112, 236764, 14086, 506, 3068, 3962, 3794, 236761, 564, 236789, 236753, 1133, 531, 3449, 1217, 1239, 3731, 659, 21574, 506, 15078, 8904, 532, 2780, 28968, 564, 2065, 1003, 236761, 3199, 611, 33205, 1724, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 99078, 211744, 2261, 14152, 32774, 83545, 198843, 827, 623, 6011, 1083, 623, 138827, 11139, 532, 123892, 37494, 9935, 659, 33909, 32774, 14369, 531, 14005, 24744, 236772, 947, 14836, 13035, 10154, 236764, 607, 20749, 15741, 45261, 236743, 236770, 236828, 236908, 2338, 236743, 236778, 236771, 236778, 236778, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 236796, 5310, 67296, 832, 14874, 236789, 236751, 183499, 184663, 42286, 827, 623, 6011, 1083, 623, 204933, 797, 524, 6299, 54823, 6439, 54500, 3719, 528, 6082, 14874, 236764, 67948, 1800, 15078, 19887, 532, 6672, 2780, 33862, 4615, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236778, 236828, 25938, 1604, 623, 6265, 1083, 623, 78692, 7074, 827, 623, 66518, 236779, 62580, 236779, 10618, 1083, 623, 138862, 140165, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1156, 4803, 23372, 7074, 10308, 25963, 10022, 2352, 18506, 580, 32774, 17861, 236787, 108, 236770, 236761, 5213, 236775, 99078, 211744, 2261, 14152, 32774, 83545, 198843, 236775, 1018, 568, 8724, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 138, 107, 139, 236829, 24355, 63508, 66399, 11139, 532, 59160, 37494, 735, 67509, 6672, 14836, 13035, 10154, 236764, 5830, 531, 614, 236743, 236770, 236828, 236908, 16670, 528, 20749, 15741, 2338, 236743, 236778, 236771, 236778, 236778, 236761, 108, 236778, 236761, 5213, 236775, 236796, 5310, 67296, 832, 14874, 236789, 236751, 183499, 184663, 42286, 236775, 1018, 568, 29097, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 138, 107, 139, 236829, 24355, 63508, 207269, 524, 143465, 659, 13471, 54500, 3719, 528, 6082, 14874, 236764, 21574, 1800, 11264, 30296, 532, 6672, 2780, 33862, 4615, 236761, 108, 9208, 10308, 8357, 24637, 528, 55488, 14836, 3719, 532, 9226, 10154, 19240, 531, 32774, 15078, 23060, 236761, 21284, 611, 1133, 786, 531, 2426, 669, 43112, 236789, 236751, 12606, 618, 1388, 236764, 653, 59638, 506, 3927, 3342, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 822, 1601, 8159, 4668, 10308, 1003, 10022, 2352, 236789, 236751, 4100, 580, 6672, 24949, 528, 14874, 236764, 10916, 699, 23372, 7074, 653, 669, 43112, 236764, 14086, 506, 3068, 3962, 3794, 236761, 564, 236789, 236753, 1133, 531, 3449, 1217, 1239, 3731, 659, 21574, 506, 15078, 8904, 532, 2780, 28968, 564, 2065, 1003, 236761, 3199, 611, 33205, 1724, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 99078, 211744, 2261, 14152, 32774, 83545, 198843, 827, 623, 6011, 1083, 623, 138827, 11139, 532, 123892, 37494, 9935, 659, 33909, 32774, 14369, 531, 14005, 24744, 236772, 947, 14836, 13035, 10154, 236764, 607, 20749, 15741, 45261, 236743, 236770, 236828, 236908, 2338, 236743, 236778, 236771, 236778, 236778, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 236796, 5310, 67296, 832, 14874, 236789, 236751, 183499, 184663, 42286, 827, 623, 6011, 1083, 623, 204933, 797, 524, 6299, 54823, 6439, 54500, 3719, 528, 6082, 14874, 236764, 67948, 1800, 15078, 19887, 532, 6672, 2780, 33862, 4615, 10498, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236778, 236828, 25938, 1604, 623, 6265, 1083, 623, 78692, 7074, 827, 623, 66518, 236779, 62580, 236779, 10618, 1083, 623, 138862, 140165, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1156, 4803, 23372, 7074, 10308, 25963, 10022, 2352, 18506, 580, 32774, 17861, 236787, 108, 236770, 236761, 5213, 236775, 99078, 211744, 2261, 14152, 32774, 83545, 198843, 236775, 1018, 568, 8724, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 138, 107, 139, 236829, 24355, 63508, 66399, 11139, 532, 59160, 37494, 735, 67509, 6672, 14836, 13035, 10154, 236764, 5830, 531, 614, 236743, 236770, 236828, 236908, 16670, 528, 20749, 15741, 2338, 236743, 236778, 236771, 236778, 236778, 236761, 108, 236778, 236761, 5213, 236775, 236796, 5310, 67296, 832, 14874, 236789, 236751, 183499, 184663, 42286, 236775, 1018, 568, 29097, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 138, 107, 139, 236829, 24355, 63508, 207269, 524, 143465, 659, 13471, 54500, 3719, 528, 6082, 14874, 236764, 21574, 1800, 11264, 30296, 532, 6672, 2780, 33862, 4615, 236761, 108, 9208, 10308, 8357, 24637, 528, 55488, 14836, 3719, 532, 9226, 10154, 19240, 531, 32774, 15078, 23060, 236761, 21284, 611, 1133, 786, 531, 2426, 669, 43112, 236789, 236751, 12606, 618, 1388, 236764, 653, 59638, 506, 3927, 3342, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12932, 21949, 236764, 14321, 822, 3710, 236888, 564, 236789, 236757, 34923, 2665, 236764, 532, 564, 236789, 236757, 2056, 495, 236789, 531, 1502, 672, 2268, 52724, 1960, 607, 1041, 8705, 236764, 840, 564, 236789, 236757, 17539, 580, 4351, 495, 236789, 855, 506, 1447, 44773, 573, 784, 1091, 8174, 81718, 532, 8268, 2197, 236752, 63901, 236761, 564, 5004, 672, 808, 164527, 236829, 30409, 91802, 6635, 886, 657, 506, 4762, 237028, 7986, 59252, 236764, 19860, 8103, 236764, 3189, 625, 19171, 236743, 236770, 236771, 236771, 15176, 529, 29169, 237028, 5503, 564, 3782, 236789, 236745, 974, 506, 2268, 7853, 607, 506, 1548, 236761, 1599, 1281, 1217, 625, 563, 236764, 808, 814, 1551, 236829, 34954, 2432, 528, 506, 8351, 74578, 236888, 28344, 611, 1601, 786, 1586, 506, 4889, 580, 625, 236881, 564, 1164, 1202, 506, 3385, 236764, 768, 625, 236789, 236751, 528, 2862, 236764, 532, 1144, 18361, 1879, 1003, 625, 236761, 564, 236789, 236757, 1751, 495, 236789, 7463, 600, 236789, 236751, 506, 886, 573, 1041, 861, 52724, 26734, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 834, 16126, 611, 8452, 855, 236764, 21949, 236888, 160360, 564, 236789, 236753, 2765, 531, 1601, 611, 1586, 600, 4011, 30409, 91802, 44773, 573, 822, 52724, 1960, 236761, 2024, 564, 1202, 496, 16383, 3103, 919, 8283, 531, 1385, 625, 872, 573, 611, 236761, 236743, 108, 818, 6436, 564, 735, 2802, 531, 1660, 506, 5213, 5930, 5853, 1018, 568, 47896, 614, 236743, 236770, 236771, 236772, 29345, 9447, 1204, 1548, 1133, 603, 236771, 236771, 236771, 236771, 236810, 236797, 236810, 236811, 236810, 236768, 600, 236789, 236751, 13762, 580, 506, 1698, 7853, 653, 16593, 236761, 5612, 611, 6950, 611, 3782, 236789, 236745, 974, 506, 7853, 236764, 1451, 611, 2426, 1027, 529, 1239, 6666, 573, 506, 1548, 236881, 236743, 108, 236770, 236761, 669, 5213, 6457, 19971, 1018, 1298, 611, 5004, 625, 138, 107, 236778, 236761, 669, 5213, 62473, 236789, 236751, 4456, 1018, 568, 100399, 91802, 3187, 15852, 9447, 1204, 236751, 580, 1698, 7704, 236768, 138, 107, 236800, 236761, 669, 5213, 86674, 236789, 236751, 3225, 1018, 653, 5213, 29658, 11132, 1018, 568, 74860, 815, 496, 1944, 21088, 607, 506, 2028, 1548, 236768, 138, 108, 2859, 611, 740, 4024, 600, 1548, 236764, 564, 236789, 859, 26310, 8091, 872, 506, 3385, 236764, 2862, 4981, 236764, 532, 5602, 10595, 573, 611, 236888, 236743, 248018, 239794, 138, 107, 16907, 236791, 236761, 236773, 236761, 1637, 611, 236789, 500, 2036, 17539, 236764, 1164, 3442, 786, 506, 2028, 1463, 1133, 623, 100399, 91802, 193030, 236743, 236810, 236772, 3285, 661, 236775, 532, 564, 236789, 859, 1601, 611, 4087, 1679, 506, 9447, 1204, 236888, 12016, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12932, 21949, 236764, 14321, 822, 3710, 236888, 564, 236789, 236757, 34923, 2665, 236764, 532, 564, 236789, 236757, 2056, 495, 236789, 531, 1502, 672, 2268, 52724, 1960, 607, 1041, 8705, 236764, 840, 564, 236789, 236757, 17539, 580, 4351, 495, 236789, 855, 506, 1447, 44773, 573, 784, 1091, 8174, 81718, 532, 8268, 2197, 236752, 63901, 236761, 564, 5004, 672, 808, 164527, 236829, 30409, 91802, 6635, 886, 657, 506, 4762, 237028, 7986, 59252, 236764, 19860, 8103, 236764, 3189, 625, 19171, 236743, 236770, 236771, 236771, 15176, 529, 29169, 237028, 5503, 564, 3782, 236789, 236745, 974, 506, 2268, 7853, 607, 506, 1548, 236761, 1599, 1281, 1217, 625, 563, 236764, 808, 814, 1551, 236829, 34954, 2432, 528, 506, 8351, 74578, 236888, 28344, 611, 1601, 786, 1586, 506, 4889, 580, 625, 236881, 564, 1164, 1202, 506, 3385, 236764, 768, 625, 236789, 236751, 528, 2862, 236764, 532, 1144, 18361, 1879, 1003, 625, 236761, 564, 236789, 236757, 1751, 495, 236789, 7463, 600, 236789, 236751, 506, 886, 573, 1041, 861, 52724, 26734, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 834, 16126, 611, 8452, 855, 236764, 21949, 236888, 160360, 564, 236789, 236753, 2765, 531, 1601, 611, 1586, 600, 4011, 30409, 91802, 44773, 573, 822, 52724, 1960, 236761, 2024, 564, 1202, 496, 16383, 3103, 919, 8283, 531, 1385, 625, 872, 573, 611, 236761, 236743, 108, 818, 6436, 564, 735, 2802, 531, 1660, 506, 5213, 5930, 5853, 1018, 568, 47896, 614, 236743, 236770, 236771, 236772, 29345, 9447, 1204, 1548, 1133, 603, 236771, 236771, 236771, 236771, 236810, 236797, 236810, 236811, 236810, 236768, 600, 236789, 236751, 13762, 580, 506, 1698, 7853, 653, 16593, 236761, 5612, 611, 6950, 611, 3782, 236789, 236745, 974, 506, 7853, 236764, 1451, 611, 2426, 1027, 529, 1239, 6666, 573, 506, 1548, 236881, 236743, 108, 236770, 236761, 669, 5213, 6457, 19971, 1018, 1298, 611, 5004, 625, 138, 107, 236778, 236761, 669, 5213, 62473, 236789, 236751, 4456, 1018, 568, 100399, 91802, 3187, 15852, 9447, 1204, 236751, 580, 1698, 7704, 236768, 138, 107, 236800, 236761, 669, 5213, 86674, 236789, 236751, 3225, 1018, 653, 5213, 29658, 11132, 1018, 568, 74860, 815, 496, 1944, 21088, 607, 506, 2028, 1548, 236768, 138, 108, 2859, 611, 740, 4024, 600, 1548, 236764, 564, 236789, 859, 26310, 8091, 872, 506, 3385, 236764, 2862, 4981, 236764, 532, 5602, 10595, 573, 611, 236888, 236743, 248018, 239794, 138, 107, 16907, 236791, 236761, 236773, 236761, 1637, 611, 236789, 500, 2036, 17539, 236764, 1164, 3442, 786, 506, 2028, 1463, 1133, 623, 100399, 91802, 193030, 236743, 236810, 236772, 3285, 661, 236775, 532, 564, 236789, 859, 1601, 611, 4087, 1679, 506, 9447, 1204, 236888, 12016, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 43204, 1041, 21205, 1699, 1041, 4889, 236764, 1299, 2426, 3195, 132409, 573, 2544, 5853, 756, 27412, 2402, 236770, 236778, 236800, 236789, 2338, 1774, 2069, 236761, 1637, 993, 659, 1027, 7798, 10681, 236764, 33205, 506, 8216, 2727, 5456, 573, 506, 2862, 5404, 756, 27412, 2402, 236789, 531, 5608, 506, 2544, 236789, 236751, 4867, 2404, 1680, 564, 5510, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 607, 600, 5074, 236772, 9340, 4209, 236761, 5315, 236764, 564, 1202, 822, 21205, 4889, 236761, 7323, 2847, 236787, 107, 236770, 236761, 5180, 1463, 107, 236778, 236761, 19955, 3421, 107, 236800, 236761, 23386, 1548, 107, 236812, 236761, 39432, 568, 527, 496, 1694, 236768, 107, 236810, 236761, 5490, 2707, 568, 17136, 7234, 607, 2939, 236764, 2544, 236764, 532, 12032, 236768, 108, 14946, 564, 735, 822, 4889, 236764, 564, 236789, 859, 236787, 107, 236770, 236761, 43550, 822, 21205, 107, 236778, 236761, 7179, 4803, 3195, 132409, 573, 2544, 5853, 756, 27412, 2402, 236770, 236778, 236800, 236789, 107, 236800, 236761, 1637, 10681, 659, 1765, 236764, 33205, 506, 8216, 2727, 5456, 573, 756, 27412, 2402, 236789, 2862, 108, 236820, 58491, 236779, 1708, 236779, 2364, 236779, 2427, 5336, 106, 107, 105, 2364, 107, 139018, 498, 11860, 47891, 236761, 62785, 1588, 236940, 6774, 236761, 854, 568, 236825, 236770, 236819, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236778, 236800, 39432, 236787, 5602, 2509, 236764, 5158, 13723, 236764, 8657, 4957, 3671, 236764, 49692, 5368, 236764, 1262, 236772, 27612, 5886, 11298, 5490, 20369, 236787, 21174, 16234, 30636, 657, 2343, 3255, 21174, 568, 236778, 236771, 236770, 236810, 236772, 25278, 236768, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52463, 236779, 547, 1083, 623, 12994, 236772, 236770, 236778, 236800, 236812, 827, 623, 4818, 1083, 623, 19631, 827, 623, 19631, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30797, 1083, 78493, 547, 1083, 623, 75863, 236812, 236810, 236825, 827, 623, 3250, 1083, 623, 51551, 5774, 63087, 827, 623, 53568, 1083, 623, 1768, 827, 623, 7125, 1083, 623, 4199, 3773, 236764, 13476, 827, 623, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 75863, 236812, 236810, 236832, 827, 623, 3250, 1083, 623, 52571, 32180, 50895, 827, 623, 53568, 1083, 623, 93083, 827, 623, 7125, 1083, 623, 49548, 236764, 15237, 827, 623, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 6011, 1083, 3714, 6725, 236779, 30797, 1083, 236743, 236778, 236764, 623, 4243, 101085, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 25142, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236778, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 27412, 2402, 827, 623, 52107, 236779, 5101, 236779, 37236, 1083, 3714, 117468, 48532, 24569, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 30642, 522, 48532, 24569, 1083, 753, 236812, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 211148, 48532, 24569, 1083, 753, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6796, 48532, 24569, 1083, 236743, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 527, 4088, 3682, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 127096, 106, 107, 105, 4368, 107, 11069, 21205, 815, 1010, 10428, 7835, 568, 1735, 236787, 15870, 236772, 236770, 236778, 236800, 236812, 236768, 532, 563, 5508, 573, 1161, 236761, 236743, 108, 2542, 2544, 5853, 756, 27412, 2402, 236770, 236778, 236800, 963, 993, 659, 236743, 236778, 4803, 3195, 132409, 2338, 5142, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 236787, 107, 236770, 236761, 19563, 5774, 63087, 568, 1768, 5570, 236764, 1799, 3773, 236764, 13476, 236768, 12551, 5142, 236743, 236770, 236810, 107, 236778, 236761, 16906, 32180, 50895, 568, 93083, 5570, 236764, 10561, 236764, 15237, 236768, 12551, 5142, 236743, 236770, 236828, 108, 818, 4867, 2404, 10834, 573, 756, 27412, 2402, 236789, 2862, 3831, 3188, 8216, 2727, 19455, 618, 529, 5365, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236787, 107, 236772, 38641, 24531, 19179, 236787, 609, 236770, 236778, 236810, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 107, 236772, 9617, 24531, 19179, 236787, 609, 236828, 236771, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 107, 236772, 5674, 24531, 27180, 236787, 44771, 609, 236810, 236771, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 1308, 17461, 532, 22617, 5085, 108, 818, 2544, 7412, 41558, 7644, 607, 14649, 4414, 8216, 2727, 236764, 3043, 625, 496, 14846, 1535, 16158, 573, 3195, 6182, 236761, 21284, 611, 1133, 786, 531, 1601, 611, 5510, 531, 1027, 529, 1239, 10681, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 43204, 1041, 21205, 1699, 1041, 4889, 236764, 1299, 2426, 3195, 132409, 573, 2544, 5853, 756, 27412, 2402, 236770, 236778, 236800, 236789, 2338, 1774, 2069, 236761, 1637, 993, 659, 1027, 7798, 10681, 236764, 33205, 506, 8216, 2727, 5456, 573, 506, 2862, 5404, 756, 27412, 2402, 236789, 531, 5608, 506, 2544, 236789, 236751, 4867, 2404, 1680, 564, 5510, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 607, 600, 5074, 236772, 9340, 4209, 236761, 5315, 236764, 564, 1202, 822, 21205, 4889, 236761, 7323, 2847, 236787, 107, 236770, 236761, 5180, 1463, 107, 236778, 236761, 19955, 3421, 107, 236800, 236761, 23386, 1548, 107, 236812, 236761, 39432, 568, 527, 496, 1694, 236768, 107, 236810, 236761, 5490, 2707, 568, 17136, 7234, 607, 2939, 236764, 2544, 236764, 532, 12032, 236768, 108, 14946, 564, 735, 822, 4889, 236764, 564, 236789, 859, 236787, 107, 236770, 236761, 43550, 822, 21205, 107, 236778, 236761, 7179, 4803, 3195, 132409, 573, 2544, 5853, 756, 27412, 2402, 236770, 236778, 236800, 236789, 107, 236800, 236761, 1637, 10681, 659, 1765, 236764, 33205, 506, 8216, 2727, 5456, 573, 756, 27412, 2402, 236789, 2862, 108, 236820, 58491, 236779, 1708, 236779, 2364, 236779, 2427, 5336, 106, 107, 105, 2364, 107, 139018, 498, 11860, 47891, 236761, 62785, 1588, 236940, 6774, 236761, 854, 568, 236825, 236770, 236819, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236778, 236800, 39432, 236787, 5602, 2509, 236764, 5158, 13723, 236764, 8657, 4957, 3671, 236764, 49692, 5368, 236764, 1262, 236772, 27612, 5886, 11298, 5490, 20369, 236787, 21174, 16234, 30636, 657, 2343, 3255, 21174, 568, 236778, 236771, 236770, 236810, 236772, 25278, 236768, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52463, 236779, 547, 1083, 623, 12994, 236772, 236770, 236778, 236800, 236812, 827, 623, 4818, 1083, 623, 19631, 827, 623, 19631, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30797, 1083, 78493, 547, 1083, 623, 75863, 236812, 236810, 236825, 827, 623, 3250, 1083, 623, 51551, 5774, 63087, 827, 623, 53568, 1083, 623, 1768, 827, 623, 7125, 1083, 623, 4199, 3773, 236764, 13476, 827, 623, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 75863, 236812, 236810, 236832, 827, 623, 3250, 1083, 623, 52571, 32180, 50895, 827, 623, 53568, 1083, 623, 93083, 827, 623, 7125, 1083, 623, 49548, 236764, 15237, 827, 623, 95845, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 6011, 1083, 3714, 6725, 236779, 30797, 1083, 236743, 236778, 236764, 623, 4243, 101085, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 25142, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236778, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 27412, 2402, 827, 623, 52107, 236779, 5101, 236779, 37236, 1083, 3714, 117468, 48532, 24569, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 30642, 522, 48532, 24569, 1083, 753, 236812, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 211148, 48532, 24569, 1083, 753, 236800, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 6796, 48532, 24569, 1083, 236743, 236828, 236771, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 527, 4088, 3682, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 127096, 106, 107, 105, 4368, 107, 11069, 21205, 815, 1010, 10428, 7835, 568, 1735, 236787, 15870, 236772, 236770, 236778, 236800, 236812, 236768, 532, 563, 5508, 573, 1161, 236761, 236743, 108, 2542, 2544, 5853, 756, 27412, 2402, 236770, 236778, 236800, 963, 993, 659, 236743, 236778, 4803, 3195, 132409, 2338, 5142, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 236787, 107, 236770, 236761, 19563, 5774, 63087, 568, 1768, 5570, 236764, 1799, 3773, 236764, 13476, 236768, 12551, 5142, 236743, 236770, 236810, 107, 236778, 236761, 16906, 32180, 50895, 568, 93083, 5570, 236764, 10561, 236764, 15237, 236768, 12551, 5142, 236743, 236770, 236828, 108, 818, 4867, 2404, 10834, 573, 756, 27412, 2402, 236789, 2862, 3831, 3188, 8216, 2727, 19455, 618, 529, 5365, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236787, 107, 236772, 38641, 24531, 19179, 236787, 609, 236770, 236778, 236810, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 107, 236772, 9617, 24531, 19179, 236787, 609, 236828, 236771, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 107, 236772, 5674, 24531, 27180, 236787, 44771, 609, 236810, 236771, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 1308, 17461, 532, 22617, 5085, 108, 818, 2544, 7412, 41558, 7644, 607, 14649, 4414, 8216, 2727, 236764, 3043, 625, 496, 14846, 1535, 16158, 573, 3195, 6182, 236761, 21284, 611, 1133, 786, 531, 1601, 611, 5510, 531, 1027, 529, 1239, 10681, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 7352, 609, 236810, 236764, 236771, 236771, 236771, 23058, 531, 13382, 92523, 568, 65742, 236768, 573, 1041, 16038, 7946, 531, 8187, 236764, 840, 1186, 768, 506, 1873, 8770, 3136, 563, 27661, 236761, 5315, 236764, 2426, 506, 1873, 23058, 531, 72939, 8770, 3136, 236761, 1637, 506, 3136, 563, 2787, 236743, 236770, 236761, 236810, 236771, 236764, 7162, 607, 506, 14274, 236761, 1637, 625, 236789, 236751, 3426, 236743, 236770, 236761, 236810, 236771, 236764, 2426, 506, 11858, 8770, 3136, 573, 506, 3068, 236743, 236800, 3794, 531, 6054, 768, 9495, 1093, 577, 2480, 236761, 3153, 236764, 768, 611, 14087, 614, 3165, 1651, 67896, 11858, 1262, 236764, 2056, 1699, 506, 99299, 5904, 5205, 531, 18840, 506, 3068, 236743, 236819, 236771, 2668, 236761, 13472, 236764, 5840, 506, 1791, 3003, 529, 2970, 2721, 580, 506, 12396, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10934, 1083, 1847, 236764, 623, 5521, 1083, 623, 38556, 827, 623, 14473, 1083, 3714, 65742, 1083, 236743, 236770, 236761, 236812, 236819, 236810, 236764, 623, 79271, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 142026, 1083, 236743, 236771, 236761, 236832, 236800, 236764, 623, 198481, 1083, 236743, 236770, 236770, 236771, 236761, 236770, 236810, 236764, 623, 184718, 1083, 236743, 236832, 236812, 236761, 236770, 236778, 1263, 623, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 14473, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236770, 236832, 827, 623, 4720, 1083, 236743, 236770, 236761, 236812, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236771, 236770, 827, 623, 4720, 1083, 236743, 236770, 236761, 236812, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236770, 827, 623, 4720, 1083, 236743, 236770, 236761, 236810, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 4720, 1083, 236743, 236770, 236761, 236812, 236832, 104960, 623, 6011, 1083, 3714, 78353, 236779, 4720, 1083, 236743, 236770, 236761, 236810, 236770, 236764, 623, 117835, 236779, 4720, 1083, 236743, 236770, 236761, 236812, 236832, 236764, 623, 28128, 236779, 4720, 1083, 236743, 236770, 236761, 236812, 236819, 1807, 106, 107, 105, 4368, 107, 22515, 580, 506, 1873, 532, 11858, 8770, 3136, 3671, 236787, 108, 236770, 236761, 5213, 8782, 25870, 66515, 236743, 236770, 23058, 578, 236743, 236770, 236761, 236812, 236819, 236810, 72939, 568, 174991, 3426, 822, 236743, 236770, 236761, 236810, 236771, 14272, 769, 107, 236778, 236761, 5213, 100368, 27593, 568, 53666, 236743, 236819, 236771, 27613, 62902, 236787, 138, 107, 139, 236772, 106237, 3136, 236787, 236743, 236770, 236761, 236810, 236770, 72939, 568, 28104, 236743, 236770, 236768, 138, 107, 139, 236772, 169107, 3136, 236787, 236743, 236770, 236761, 236812, 236832, 72939, 568, 20123, 236743, 236770, 236810, 236768, 138, 107, 139, 236772, 29748, 236787, 236743, 236770, 236761, 236812, 236819, 72939, 138, 108, 1018, 211199, 66515, 138, 107, 8409, 506, 1873, 3136, 568, 236770, 236761, 236812, 236819, 236810, 236768, 563, 101196, 3426, 822, 236743, 236770, 236761, 236810, 236771, 3328, 236764, 625, 563, 3107, 531, 506, 236743, 236800, 236772, 11283, 4398, 532, 3715, 1082, 506, 14723, 3136, 5773, 236761, 34641, 1262, 3831, 30217, 840, 951, 9958, 31097, 7003, 236761, 1637, 611, 1202, 506, 8775, 573, 822, 7946, 532, 3914, 4652, 3342, 61085, 568, 14473, 735, 80698, 618, 2708, 618, 236743, 236770, 236761, 236812, 236832, 779, 5213, 24733, 1492, 1018, 531, 9584, 236743, 236770, 236761, 236812, 236819, 236810, 236761, 138, 108, 9675, 236764, 768, 611, 735, 19142, 532, 740, 7020, 6224, 236764, 1966, 6514, 496, 4576, 1900, 573, 236743, 236770, 236761, 236810, 236771, 653, 3715, 236764, 618, 15404, 57952, 1133, 5857, 236789, 236751, 236743, 236770, 236761, 236810, 236770, 735, 10997, 236761, 669, 99299, 5904, 11387, 1288, 6224, 964, 84947, 5569, 236764, 840, 993, 236858, 236751, 951, 15246, 901, 236858, 859, 994, 236761, 138, 108, 17667, 4893, 9796, 580, 822, 4652, 26759, 236787, 138, 107, 236772, 5213, 34339, 1492, 66515, 209809, 5313, 573, 53400, 90352, 236761, 138, 107, 236772, 5213, 20470, 66515, 51508, 573, 2480, 6224, 236764, 840, 607, 19262, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 7352, 609, 236810, 236764, 236771, 236771, 236771, 23058, 531, 13382, 92523, 568, 65742, 236768, 573, 1041, 16038, 7946, 531, 8187, 236764, 840, 1186, 768, 506, 1873, 8770, 3136, 563, 27661, 236761, 5315, 236764, 2426, 506, 1873, 23058, 531, 72939, 8770, 3136, 236761, 1637, 506, 3136, 563, 2787, 236743, 236770, 236761, 236810, 236771, 236764, 7162, 607, 506, 14274, 236761, 1637, 625, 236789, 236751, 3426, 236743, 236770, 236761, 236810, 236771, 236764, 2426, 506, 11858, 8770, 3136, 573, 506, 3068, 236743, 236800, 3794, 531, 6054, 768, 9495, 1093, 577, 2480, 236761, 3153, 236764, 768, 611, 14087, 614, 3165, 1651, 67896, 11858, 1262, 236764, 2056, 1699, 506, 99299, 5904, 5205, 531, 18840, 506, 3068, 236743, 236819, 236771, 2668, 236761, 13472, 236764, 5840, 506, 1791, 3003, 529, 2970, 2721, 580, 506, 12396, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10934, 1083, 1847, 236764, 623, 5521, 1083, 623, 38556, 827, 623, 14473, 1083, 3714, 65742, 1083, 236743, 236770, 236761, 236812, 236819, 236810, 236764, 623, 79271, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 142026, 1083, 236743, 236771, 236761, 236832, 236800, 236764, 623, 198481, 1083, 236743, 236770, 236770, 236771, 236761, 236770, 236810, 236764, 623, 184718, 1083, 236743, 236832, 236812, 236761, 236770, 236778, 1263, 623, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 14473, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236770, 236832, 827, 623, 4720, 1083, 236743, 236770, 236761, 236812, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236771, 236770, 827, 623, 4720, 1083, 236743, 236770, 236761, 236812, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236770, 827, 623, 4720, 1083, 236743, 236770, 236761, 236810, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 4720, 1083, 236743, 236770, 236761, 236812, 236832, 104960, 623, 6011, 1083, 3714, 78353, 236779, 4720, 1083, 236743, 236770, 236761, 236810, 236770, 236764, 623, 117835, 236779, 4720, 1083, 236743, 236770, 236761, 236812, 236832, 236764, 623, 28128, 236779, 4720, 1083, 236743, 236770, 236761, 236812, 236819, 1807, 106, 107, 105, 4368, 107, 22515, 580, 506, 1873, 532, 11858, 8770, 3136, 3671, 236787, 108, 236770, 236761, 5213, 8782, 25870, 66515, 236743, 236770, 23058, 578, 236743, 236770, 236761, 236812, 236819, 236810, 72939, 568, 174991, 3426, 822, 236743, 236770, 236761, 236810, 236771, 14272, 769, 107, 236778, 236761, 5213, 100368, 27593, 568, 53666, 236743, 236819, 236771, 27613, 62902, 236787, 138, 107, 139, 236772, 106237, 3136, 236787, 236743, 236770, 236761, 236810, 236770, 72939, 568, 28104, 236743, 236770, 236768, 138, 107, 139, 236772, 169107, 3136, 236787, 236743, 236770, 236761, 236812, 236832, 72939, 568, 20123, 236743, 236770, 236810, 236768, 138, 107, 139, 236772, 29748, 236787, 236743, 236770, 236761, 236812, 236819, 72939, 138, 108, 1018, 211199, 66515, 138, 107, 8409, 506, 1873, 3136, 568, 236770, 236761, 236812, 236819, 236810, 236768, 563, 101196, 3426, 822, 236743, 236770, 236761, 236810, 236771, 3328, 236764, 625, 563, 3107, 531, 506, 236743, 236800, 236772, 11283, 4398, 532, 3715, 1082, 506, 14723, 3136, 5773, 236761, 34641, 1262, 3831, 30217, 840, 951, 9958, 31097, 7003, 236761, 1637, 611, 1202, 506, 8775, 573, 822, 7946, 532, 3914, 4652, 3342, 61085, 568, 14473, 735, 80698, 618, 2708, 618, 236743, 236770, 236761, 236812, 236832, 779, 5213, 24733, 1492, 1018, 531, 9584, 236743, 236770, 236761, 236812, 236819, 236810, 236761, 138, 108, 9675, 236764, 768, 611, 735, 19142, 532, 740, 7020, 6224, 236764, 1966, 6514, 496, 4576, 1900, 573, 236743, 236770, 236761, 236810, 236771, 653, 3715, 236764, 618, 15404, 57952, 1133, 5857, 236789, 236751, 236743, 236770, 236761, 236810, 236770, 735, 10997, 236761, 669, 99299, 5904, 11387, 1288, 6224, 964, 84947, 5569, 236764, 840, 993, 236858, 236751, 951, 15246, 901, 236858, 859, 994, 236761, 138, 108, 17667, 4893, 9796, 580, 822, 4652, 26759, 236787, 138, 107, 236772, 5213, 34339, 1492, 66515, 209809, 5313, 573, 53400, 90352, 236761, 138, 107, 236772, 5213, 20470, 66515, 51508, 573, 2480, 6224, 236764, 840, 607, 19262, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 33287, 791, 3236, 236787, 623, 10979, 236888, 564, 236858, 236757, 18924, 791, 3236, 236764, 496, 108786, 528, 1799, 65431, 1015, 992, 132240, 3399, 4749, 573, 1041, 2263, 203299, 236772, 92249, 49511, 9226, 2299, 236761, 1191, 236858, 500, 6995, 496, 808, 50455, 236829, 19138, 26614, 199198, 4252, 236764, 203299, 27249, 236764, 532, 56773, 808, 26670, 15861, 4972, 236829, 568, 5282, 6672, 808, 3146, 236748, 236829, 779, 840, 564, 1202, 1601, 8159, 5213, 500, 169270, 2260, 26427, 1018, 1015, 1451, 8324, 607, 775, 531, 1845, 506, 4972, 147810, 236761, 669, 12498, 236772, 24333, 236858, 236751, 5904, 537, 236779, 829, 236779, 576, 236779, 236755, 236779, 1168, 5072, 4011, 573, 672, 237028, 46052, 611, 33205, 496, 1694, 529, 22265, 236772, 5140, 2260, 26427, 25118, 6112, 573, 106980, 236764, 808, 50771, 17511, 30237, 532, 2707, 607, 5213, 37939, 4749, 1018, 236881, 564, 236858, 236753, 992, 1202, 910, 3662, 4889, 532, 3019, 8375, 236761, 3792, 236858, 236751, 1386, 2889, 901, 236858, 500, 1932, 531, 65122, 607, 5251, 54213, 9332, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 6443, 236756, 236771, 236770, 236770, 236771, 236785, 236756, 236770, 15919, 236770, 236747, 1953, 236785, 236756, 236771, 236771, 236744, 236770, 236745, 96284, 833, 31698, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 15897, 236779, 2865, 3747, 1083, 11058, 92249, 49511, 620, 8043, 827, 623, 46640, 2460, 33000, 827, 623, 111534, 14680, 33972, 14255, 623, 11607, 1083, 3714, 31935, 1083, 623, 2574, 1411, 1926, 109333, 26670, 15861, 236761, 854, 827, 623, 6774, 1083, 623, 101826, 28268, 236940, 1926, 109333, 236761, 854, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236819, 236771, 236828, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 23179, 623, 7777, 1083, 623, 23244, 5411, 528, 6672, 56773, 57665, 4972, 607, 236743, 236770, 236778, 236862, 1518, 11584, 9226, 4749, 236761, 64253, 97460, 4698, 573, 5251, 67529, 221476, 3714, 1201, 1083, 623, 236773, 236785, 236756, 236771, 236771, 236760, 236812, 829, 640, 236785, 236756, 236770, 524, 236800, 829, 28234, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 15897, 236779, 2865, 3747, 1083, 11058, 16493, 16314, 620, 8043, 3797, 827, 623, 31728, 800, 18612, 31100, 827, 623, 21048, 236772, 50771, 2460, 26937, 14255, 623, 11607, 1083, 3714, 31935, 1083, 623, 2574, 1411, 24013, 78463, 236761, 27698, 827, 623, 6774, 1083, 623, 18582, 236940, 24013, 78463, 236761, 27698, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 112171, 32462, 9252, 236764, 22265, 23179, 623, 7777, 1083, 623, 157061, 684, 22265, 32462, 37728, 8096, 236761, 35653, 55666, 607, 203299, 236772, 92249, 49511, 4402, 528, 11485, 130482, 236789, 236751, 19549, 41550, 221476, 3714, 1201, 1083, 623, 3586, 236785, 236756, 236771, 236771, 5742, 587, 236785, 236756, 236770, 1172, 236819, 640, 236785, 236756, 236770, 2167, 236800, 236758, 558, 236785, 236756, 236771, 236771, 236744, 236770, 236755, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 15897, 236779, 2865, 3747, 1083, 11058, 51454, 15861, 5842, 20310, 827, 623, 46640, 61259, 4122, 827, 623, 13666, 53300, 5602, 1894, 14255, 623, 11607, 1083, 3714, 31935, 1083, 623, 2574, 1411, 791, 222765, 236761, 27698, 827, 623, 6774, 1083, 623, 65739, 236940, 791, 222765, 236761, 1364, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236778, 236828, 236743, 236800, 236828, 236812, 236828, 236743, 236832, 236832, 236832, 236832, 23179, 623, 7777, 1083, 623, 87469, 573, 15502, 10471, 236772, 58205, 4681, 236761, 64253, 14361, 236772, 92249, 49511, 180857, 573, 4071, 236772, 12148, 2460, 6995, 1781, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236810, 236764, 623, 2763, 37755, 1083, 623, 2313, 552, 1389, 2564, 236745, 9022, 557, 236761, 854, 37414, 92578, 37210, 9413, 1680, 11403, 41716, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 66756, 22265, 236772, 5140, 2260, 26427, 9273, 573, 822, 19549, 19138, 236764, 132187, 9226, 17511, 532, 3399, 2460, 2707, 236787, 108, 236770, 236761, 5213, 237703, 5714, 209484, 96284, 833, 31698, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236832, 236786, 236810, 138, 107, 139, 246080, 900, 236828, 236812, 236743, 236819, 236771, 236828, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 1109, 236743, 246978, 870, 42475, 5457, 2574, 1411, 1926, 109333, 26670, 15861, 236761, 854, 236768, 138, 107, 139, 1018, 22993, 66515, 43899, 56773, 620, 8043, 236764, 97460, 4698, 573, 5251, 67529, 236764, 9226, 14680, 33972, 236761, 138, 107, 139, 236829, 116153, 573, 63508, 124476, 620, 8043, 10884, 607, 14739, 528, 4071, 236772, 50771, 4749, 236761, 108, 236778, 236761, 5213, 236773, 4231, 175170, 28234, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236810, 236786, 236810, 138, 107, 139, 249979, 4749, 236940, 24013, 78463, 236761, 27698, 1109, 236743, 244343, 236743, 236770, 236778, 236800, 112171, 32462, 9252, 138, 107, 139, 246978, 870, 42475, 5457, 2574, 1411, 24013, 78463, 236761, 27698, 236768, 138, 107, 139, 1018, 22993, 66515, 220465, 620, 8043, 3797, 236764, 4071, 236772, 50771, 2460, 26937, 236761, 138, 107, 139, 236829, 10282, 63508, 50618, 684, 22265, 32462, 37728, 8096, 236793, 9763, 528, 203299, 236772, 92249, 49511, 41550, 236761, 108, 236800, 236761, 5213, 3586, 237066, 69083, 640, 17764, 558, 3609, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236800, 236786, 236810, 138, 107, 139, 246080, 900, 236828, 236812, 236743, 236778, 236828, 236743, 236800, 236828, 236812, 236828, 236743, 236832, 236832, 236832, 236832, 1109, 236743, 246978, 870, 42475, 5457, 2574, 1411, 791, 222765, 236761, 27698, 236768, 138, 107, 139, 1018, 22993, 66515, 10112, 53300, 1894, 568, 80353, 236786, 92249, 49511, 779, 57665, 5842, 20310, 236764, 3399, 61259, 4122, 236761, 138, 107, 139, 236829, 56767, 63508, 122744, 10471, 236772, 58205, 4681, 573, 33000, 236761, 108, 1018, 9640, 3835, 2487, 66515, 236743, 236770, 236810, 568, 236800, 3505, 2787, 769, 138, 107, 195096, 5213, 4396, 31026, 66515, 66636, 37210, 9413, 1680, 201585, 33000, 568, 527, 810, 2831, 552, 1389, 2564, 236745, 9022, 557, 236761, 854, 15700, 769, 138, 108, 38786, 611, 1133, 1601, 57416, 1027, 529, 1239, 236764, 653, 4767, 4889, 1003, 3530, 3019, 1133, 30426, 18612, 31100, 653, 97460, 4698, 15830, 236881, 106, 107, 105, 2364, 107, 33287, 791, 3236, 236787, 623, 14782, 611, 573, 506, 1694, 236888, 564, 236858, 236753, 1133, 531, 12019, 672, 1679, 3342, 236761, 28344, 611, 33205, 919, 4889, 1003, 837, 529, 1239, 236743, 236770, 236810, 2260, 26427, 735, 14481, 2707, 607, 5213, 65739, 9226, 67529, 1018, 568, 5282, 203299, 236772, 92249, 49511, 4749, 236768, 532, 2729, 5213, 236763, 53300, 1894, 528, 14361, 236786, 92249, 49511, 1018, 236881, 6542, 236764, 776, 1027, 529, 1091, 2847, 5213, 103549, 18612, 31100, 1018, 531, 5330, 1023, 620, 8043, 4972, 8913, 607, 3399, 2979, 236881, 22282, 77372, 506, 1903, 236743, 236810, 1346, 7798, 3835, 607, 3662, 4889, 573, 910, 11403, 157882, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3070, 26427, 1083, 78493, 1201, 1083, 623, 92249, 236788, 44547, 88582, 11220, 10498, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 11607, 1083, 3714, 6774, 1083, 623, 101826, 28268, 236940, 98311, 35056, 4282, 155103, 236761, 854, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236819, 236771, 236800, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 827, 623, 31935, 1083, 623, 2769, 236761, 98311, 35056, 4282, 155103, 236761, 854, 23179, 623, 15897, 1083, 3714, 236763, 53300, 236779, 9442, 1083, 623, 80353, 236786, 92249, 49511, 827, 623, 50771, 236779, 207395, 847, 1083, 11058, 236788, 44547, 1037, 236772, 92249, 49511, 151945, 827, 623, 13554, 1536, 236772, 86436, 4585, 2343, 23507, 14255, 623, 103549, 236779, 34697, 522, 1083, 1847, 236764, 623, 18146, 1662, 236779, 35365, 1083, 11058, 236855, 8043, 827, 623, 51454, 15861, 1935, 5237, 3714, 1201, 1083, 623, 159927, 11250, 41302, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 11607, 1083, 3714, 6774, 1083, 623, 1475, 8561, 236940, 26670, 605, 123857, 236761, 27698, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236778, 236828, 236743, 236800, 236828, 236778, 236778, 236743, 236832, 236832, 236828, 236828, 827, 623, 31935, 1083, 623, 2769, 236761, 26670, 605, 123857, 236761, 27698, 23179, 623, 15897, 1083, 3714, 236763, 53300, 236779, 9442, 1083, 623, 80353, 236786, 92249, 49511, 827, 623, 50771, 236779, 207395, 847, 1083, 11058, 139980, 236772, 236788, 44547, 7449, 148370, 827, 623, 13666, 48467, 14669, 31698, 14255, 623, 103549, 236779, 34697, 522, 1083, 1847, 236764, 623, 18146, 1662, 236779, 35365, 1083, 11058, 236855, 8043, 827, 623, 18312, 3703, 1935, 5237, 3714, 1201, 1083, 623, 227567, 9290, 28234, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 11607, 1083, 3714, 6774, 1083, 623, 54167, 5099, 236940, 15780, 514, 7991, 236761, 28765, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236819, 236828, 236832, 236743, 236825, 236810, 236812, 236743, 236800, 236778, 236770, 827, 623, 31935, 1083, 623, 2769, 236761, 15780, 514, 7991, 236761, 28765, 23179, 623, 15897, 1083, 3714, 236763, 53300, 236779, 9442, 1083, 623, 80353, 236786, 92249, 49511, 827, 623, 50771, 236779, 207395, 847, 1083, 11058, 53601, 236772, 86436, 32462, 19651, 41327, 14255, 623, 103549, 236779, 34697, 522, 1083, 1847, 236764, 623, 18146, 1662, 236779, 35365, 1083, 11058, 236855, 8043, 827, 623, 226832, 1935, 5237, 3714, 1201, 1083, 623, 15799, 65175, 41302, 23566, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 11607, 1083, 3714, 6774, 1083, 623, 101826, 236940, 4834, 554, 797, 8356, 236761, 854, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236828, 236743, 236800, 236819, 236828, 236832, 236743, 236825, 236810, 236812, 236800, 827, 623, 31935, 1083, 623, 2769, 236761, 4834, 554, 797, 8356, 236761, 854, 23179, 623, 15897, 1083, 3714, 236763, 53300, 236779, 9442, 1083, 623, 80353, 236786, 92249, 49511, 827, 623, 50771, 236779, 207395, 847, 1083, 11058, 139980, 236772, 236788, 44547, 17648, 633, 4650, 827, 623, 21048, 236772, 50771, 4585, 183122, 14255, 623, 103549, 236779, 34697, 522, 1083, 1847, 236764, 623, 18146, 1662, 236779, 35365, 1083, 11058, 236855, 8043, 827, 623, 120714, 28647, 1935, 5237, 3714, 1201, 1083, 623, 236792, 1129, 797, 14232, 74174, 827, 623, 13126, 1083, 236743, 236812, 236761, 236770, 236764, 623, 11607, 1083, 3714, 6774, 1083, 623, 9442, 236940, 22688, 797, 140628, 236761, 2108, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236819, 236800, 236812, 236743, 236810, 236825, 236832, 236743, 236828, 236819, 236771, 827, 623, 31935, 1083, 623, 2769, 236761, 22688, 797, 140628, 236761, 2108, 23179, 623, 15897, 1083, 3714, 236763, 53300, 236779, 9442, 1083, 623, 80353, 236786, 92249, 49511, 827, 623, 50771, 236779, 207395, 847, 1083, 11058, 236792, 1129, 797, 236772, 86436, 11493, 37747, 14255, 623, 103549, 236779, 34697, 522, 1083, 1847, 236764, 623, 18146, 1662, 236779, 35365, 1083, 11058, 236855, 8043, 827, 623, 51942, 63695, 1935, 1807, 1604, 623, 2763, 37755, 1083, 623, 3243, 1938, 563, 56466, 699, 2831, 552, 1389, 2564, 236745, 9022, 557, 236761, 854, 236789, 236751, 236743, 236778, 236771, 236778, 236810, 1366, 236778, 27662, 38332, 236761, 13948, 4889, 1374, 577, 44526, 5467, 607, 15063, 1680, 33000, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 5213, 3991, 236743, 236810, 22265, 236772, 5140, 2260, 26427, 1018, 607, 14481, 2707, 528, 5213, 65739, 9226, 67529, 125546, 5213, 236763, 53300, 14361, 236786, 92249, 49511, 1894, 125546, 532, 5213, 103549, 18612, 31100, 66515, 108, 236770, 236761, 5213, 92249, 236788, 44547, 88582, 11220, 99382, 138, 107, 139, 240281, 236743, 236812, 236761, 236832, 236786, 236810, 138, 107, 139, 246080, 900, 236828, 236812, 236743, 236819, 236771, 236800, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 1109, 236743, 246978, 870, 42475, 5457, 2769, 236761, 98311, 35056, 4282, 155103, 236761, 854, 236768, 138, 107, 139, 1018, 22993, 66515, 138, 107, 139, 236772, 224350, 1894, 236787, 14361, 236786, 92249, 49511, 138, 107, 139, 236772, 32462, 67529, 236787, 203299, 236772, 92249, 49511, 151945, 236764, 96724, 236772, 86436, 4585, 2343, 23507, 138, 107, 139, 236772, 124476, 18612, 31100, 236787, 8438, 138, 107, 139, 236772, 144075, 4972, 236787, 751, 8043, 236764, 96284, 138, 108, 236778, 236761, 5213, 159927, 11250, 41302, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236810, 236786, 236810, 138, 107, 139, 246080, 900, 236828, 236812, 236743, 236778, 236828, 236743, 236800, 236828, 236778, 236778, 236743, 236832, 236832, 236828, 236828, 1109, 236743, 246978, 870, 42475, 5457, 2769, 236761, 26670, 605, 123857, 236761, 27698, 236768, 138, 107, 139, 1018, 22993, 66515, 138, 107, 139, 236772, 224350, 1894, 236787, 14361, 236786, 92249, 49511, 138, 107, 139, 236772, 32462, 67529, 236787, 22265, 236772, 236788, 44547, 7449, 148370, 236764, 218598, 14669, 31698, 138, 107, 139, 236772, 124476, 18612, 31100, 236787, 8438, 138, 107, 139, 236772, 144075, 4972, 236787, 751, 8043, 236764, 7338, 3703, 138, 108, 236800, 236761, 5213, 227567, 9290, 28234, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236800, 236786, 236810, 138, 107, 139, 246080, 900, 236828, 236812, 236743, 236819, 236828, 236832, 236743, 236825, 236810, 236812, 236743, 236800, 236778, 236770, 1109, 236743, 246978, 870, 42475, 5457, 2769, 236761, 15780, 514, 7991, 236761, 28765, 236768, 138, 107, 139, 1018, 22993, 66515, 138, 107, 139, 236772, 224350, 1894, 236787, 14361, 236786, 92249, 49511, 138, 107, 139, 236772, 32462, 67529, 236787, 11560, 236772, 86436, 32462, 19651, 41327, 138, 107, 139, 236772, 124476, 18612, 31100, 236787, 8438, 138, 107, 139, 236772, 144075, 4972, 236787, 751, 8043, 236764, 109391, 138, 108, 236812, 236761, 5213, 15799, 65175, 41302, 23566, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236778, 236786, 236810, 138, 107, 139, 246080, 900, 236828, 236812, 236743, 236828, 236743, 236800, 236819, 236828, 236832, 236743, 236825, 236810, 236812, 236800, 1109, 236743, 246978, 870, 42475, 5457, 2769, 236761, 4834, 554, 797, 8356, 236761, 854, 236768, 138, 107, 139, 1018, 22993, 66515, 138, 107, 139, 236772, 224350, 1894, 236787, 14361, 236786, 92249, 49511, 138, 107, 139, 236772, 32462, 67529, 236787, 22265, 236772, 236788, 44547, 17648, 633, 4650, 236764, 12713, 236772, 50771, 4585, 183122, 138, 107, 139, 236772, 124476, 18612, 31100, 236787, 8438, 138, 107, 139, 236772, 144075, 4972, 236787, 751, 8043, 236764, 168486, 138, 108, 236810, 236761, 5213, 236792, 1129, 797, 14232, 74174, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236770, 236786, 236810, 138, 107, 139, 246080, 900, 236828, 236812, 236743, 236819, 236800, 236812, 236743, 236810, 236825, 236832, 236743, 236828, 236819, 236771, 1109, 236743, 246978, 870, 42475, 5457, 2769, 236761, 22688, 797, 140628, 236761, 2108, 236768, 138, 107, 139, 1018, 22993, 66515, 138, 107, 139, 236772, 224350, 1894, 236787, 14361, 236786, 92249, 49511, 138, 107, 139, 236772, 32462, 67529, 236787, 161992, 236772, 86436, 11493, 37747, 138, 107, 139, 236772, 124476, 18612, 31100, 236787, 8438, 138, 107, 139, 236772, 144075, 4972, 236787, 751, 8043, 236764, 68448, 63695, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236772, 13948, 1239, 2260, 26427, 531, 3249, 11403, 3755, 236764, 17096, 25000, 607, 822, 2460, 236858, 236751, 30426, 8443, 236761, 138, 107, 236772, 16499, 16441, 699, 3068, 5251, 67529, 568, 236744, 236761, 236759, 1126, 22265, 236772, 236788, 44547, 5699, 769, 138, 107, 236772, 66636, 37210, 9413, 5467, 607, 15063, 1680, 201585, 23047, 236761, 138, 108, 38786, 611, 1133, 1601, 66582, 496, 11403, 15523, 7930, 573, 1239, 19722, 236881, 106, 107, 105, 2364, 107, 33287, 791, 3236, 236787, 623, 10784, 236764, 5091, 12262, 496, 5213, 236763, 53300, 11403, 15523, 7930, 1018, 568, 80353, 236786, 92249, 49511, 236768, 36443, 573, 1239, 2260, 26427, 236761, 12213, 10458, 573, 236787, 236743, 236770, 236761, 12209, 21385, 568, 54012, 522, 199198, 4252, 236764, 203299, 27249, 236764, 532, 56773, 620, 8043, 19549, 236768, 236743, 236778, 236761, 45012, 6417, 568, 50771, 8770, 236764, 30426, 18612, 25000, 236764, 3399, 4100, 236768, 236743, 236800, 236761, 28347, 10993, 529, 1800, 7789, 568, 1587, 4884, 236764, 4698, 4122, 236764, 10471, 11211, 236768, 236743, 236812, 236761, 124476, 15700, 568, 10869, 6733, 10034, 236764, 7757, 30616, 8073, 236768, 236743, 236810, 236761, 12067, 6555, 568, 153930, 573, 3072, 236764, 3662, 573, 1500, 236772, 1048, 236768, 9996, 2889, 625, 236858, 236751, 10781, 3819, 22136, 1023, 3399, 236772, 27612, 9017, 236761, 3199, 611, 992, 3600, 837, 2260, 29822, 699, 506, 1903, 236743, 236810, 815, 506, 32879, 4087, 3423, 528, 5213, 236788, 44547, 1037, 236772, 92249, 49511, 67529, 1018, 2721, 580, 2831, 552, 1389, 2564, 236745, 9022, 557, 236761, 854, 236858, 236751, 10595, 7462, 106, 107, 105, 4368, 107, 10354, 5213, 236799, 53300, 45012, 105971, 33404, 1018, 138, 107, 16907, 80353, 236786, 92249, 49511, 12016, 138, 108, 7243, 108, 2595, 5213, 236770, 236761, 41959, 529, 506, 12209, 1018, 138, 107, 1018, 27832, 66515, 138, 107, 71510, 120453, 573, 26095, 236775, 32462, 68683, 236829, 138, 107, 95436, 199198, 4252, 19575, 236764, 203299, 50353, 28023, 236764, 532, 56773, 620, 8043, 4972, 236764, 672, 2460, 17269, 531, 13878, 9226, 23948, 1534, 203299, 236772, 92249, 49511, 8904, 528, 1799, 65431, 532, 22265, 236761, 669, 19138, 795, 7440, 236743, 236810, 236771, 236771, 236862, 40303, 236764, 79720, 30426, 18612, 236764, 9226, 8770, 236764, 532, 3399, 62901, 236761, 138, 108, 1018, 80353, 66515, 138, 107, 236829, 80199, 2103, 32462, 623, 236811, 53663, 1839, 759, 132249, 147698, 138, 107, 157381, 2308, 35555, 532, 1630, 236764, 161636, 569, 109033, 2516, 34062, 1277, 9464, 570, 54925, 569, 620, 8043, 153719, 11780, 236764, 4462, 35466, 44749, 136187, 1450, 759, 42684, 116561, 4154, 2137, 80009, 34062, 1277, 8353, 236772, 98311, 7150, 11780, 696, 1799, 65431, 570, 22265, 236761, 1339, 54807, 759, 88158, 569, 4134, 569, 236743, 236810, 236771, 236771, 15145, 236764, 164567, 53517, 696, 54925, 6355, 6564, 236764, 146077, 9226, 570, 5897, 7373, 10233, 212774, 236761, 138, 108, 1018, 92249, 49511, 66515, 138, 107, 236829, 236798, 238729, 120790, 77510, 640, 29083, 623, 236814, 46524, 558, 23723, 229054, 170956, 147698, 138, 107, 235129, 18234, 53879, 108617, 199198, 236764, 18669, 134477, 24707, 47800, 3884, 55105, 37690, 620, 8043, 52320, 37944, 33154, 11774, 236764, 18457, 52722, 9733, 108776, 505, 91473, 75402, 134522, 19395, 28749, 44693, 37442, 39652, 53031, 23692, 47800, 236772, 31422, 13459, 14805, 1799, 65431, 3884, 33154, 11774, 236761, 236126, 50793, 13311, 78711, 19066, 236743, 236810, 236771, 236771, 10279, 42775, 28856, 236764, 22947, 31612, 13940, 55105, 37690, 4032, 53651, 182944, 236764, 39501, 55032, 44693, 37442, 3884, 94503, 21587, 26571, 39019, 53031, 23692, 236761, 138, 108, 7243, 108, 2595, 5213, 236778, 236761, 45012, 36767, 1018, 138, 107, 1018, 27832, 66515, 138, 107, 236772, 5213, 111534, 19651, 66515, 129274, 822, 5500, 618, 496, 8575, 528, 4071, 236772, 50771, 13862, 236761, 138, 107, 236772, 5213, 31728, 800, 77453, 66515, 200607, 580, 496, 5058, 20329, 7757, 30616, 532, 1919, 6733, 236761, 138, 107, 236772, 5213, 46640, 27938, 66515, 12730, 496, 4400, 236772, 27612, 2460, 607, 4009, 12606, 532, 1440, 236772, 6061, 91205, 236761, 138, 108, 1018, 80353, 66515, 138, 107, 236772, 5213, 3845, 54643, 897, 32462, 66515, 20185, 223431, 664, 30177, 3105, 48051, 696, 146302, 172766, 236761, 138, 107, 236772, 5213, 236776, 1257, 2103, 36602, 1614, 66515, 2111, 596, 663, 696, 1985, 46821, 929, 2767, 151831, 54925, 77505, 570, 52730, 75438, 236761, 138, 107, 236772, 5213, 66207, 236748, 1301, 6805, 3945, 66515, 10496, 58186, 723, 35466, 591, 98661, 12990, 15720, 570, 68658, 31963, 5813, 146895, 236761, 138, 108, 1018, 92249, 49511, 66515, 138, 107, 236772, 5213, 236823, 20275, 134445, 77510, 640, 29083, 66515, 211754, 25440, 39330, 31015, 3244, 18233, 37751, 54923, 8374, 36784, 23271, 48078, 44693, 37442, 236761, 138, 107, 236772, 5213, 3586, 237414, 640, 17764, 7968, 17727, 84471, 66515, 640, 17764, 32623, 14780, 76118, 494, 19712, 117434, 103070, 7292, 505, 6732, 4032, 117677, 73187, 3884, 32733, 54481, 48371, 1092, 236761, 138, 107, 236772, 5213, 147562, 640, 26258, 140050, 87258, 66515, 640, 238688, 58986, 18457, 52722, 4032, 52320, 27783, 48580, 197337, 3884, 26305, 54380, 92388, 31889, 73646, 36507, 236761, 138, 108, 7243, 108, 2595, 5213, 236800, 236761, 28347, 10993, 529, 10508, 54743, 1018, 138, 107, 1018, 27832, 66515, 138, 107, 236772, 5213, 23240, 19804, 568, 33287, 791, 3236, 236858, 236751, 10765, 62902, 236787, 138, 107, 138, 236772, 98823, 10884, 236764, 5052, 236764, 532, 7009, 236761, 138, 107, 138, 236772, 18982, 4122, 580, 30426, 18612, 10154, 236761, 138, 107, 236772, 5213, 98346, 7167, 29822, 66515, 138, 107, 138, 236772, 39525, 24335, 620, 8043, 5842, 532, 97460, 4698, 236761, 138, 107, 138, 236772, 19148, 236743, 236770, 236810, 236908, 529, 18612, 10471, 573, 3399, 5699, 236761, 138, 108, 1018, 80353, 66515, 138, 107, 236772, 5213, 227739, 9510, 568, 222452, 569, 18924, 791, 3236, 62902, 236787, 138, 107, 138, 236772, 94701, 2103, 1162, 14830, 236764, 29293, 570, 7009, 236761, 138, 107, 138, 236772, 91501, 65236, 610, 3577, 696, 90713, 569, 31890, 6355, 2486, 236761, 138, 107, 236772, 5213, 236773, 51562, 9162, 4282, 66515, 138, 107, 138, 236772, 34241, 497, 50509, 569, 620, 8043, 591, 105488, 570, 3577, 518, 5206, 192669, 236761, 138, 107, 138, 236772, 120456, 583, 862, 236743, 236770, 236810, 236908, 569, 1450, 82470, 1642, 53231, 66434, 8474, 236761, 138, 108, 1018, 92249, 49511, 66515, 138, 107, 236772, 5213, 48814, 186997, 971, 10329, 568, 237703, 15824, 5042, 18924, 791, 3236, 62902, 236787, 138, 107, 138, 236772, 50356, 31667, 18452, 47559, 18490, 236764, 614, 186667, 3884, 120539, 132639, 236761, 138, 107, 138, 236772, 7968, 11992, 26305, 19576, 29253, 14687, 24707, 29205, 7292, 505, 6732, 4032, 53651, 182944, 236761, 138, 107, 236772, 5213, 230565, 558, 3609, 95175, 134901, 66515, 138, 107, 138, 236772, 565, 1228, 29783, 32421, 18452, 620, 8043, 4032, 97137, 52441, 3884, 19576, 18457, 5410, 90687, 236761, 138, 107, 138, 236772, 106874, 68846, 236743, 236770, 236810, 236908, 50350, 13311, 2096, 6256, 28856, 35363, 53031, 23692, 236761, 138, 108, 7243, 108, 2595, 5213, 236812, 236761, 124476, 54442, 1018, 138, 107, 1018, 27832, 66515, 138, 107, 236772, 5213, 9178, 18157, 66515, 2301, 83075, 6208, 528, 18612, 4106, 236793, 5853, 17507, 50804, 236761, 138, 107, 236772, 5213, 148591, 137576, 66515, 39525, 5405, 573, 34971, 1894, 532, 1076, 11704, 11649, 236761, 138, 107, 236772, 5213, 178475, 66515, 7423, 586, 3034, 10471, 236772, 58205, 41716, 236761, 138, 108, 1018, 80353, 66515, 138, 107, 236772, 5213, 25151, 8234, 220964, 66515, 1255, 3684, 2533, 759, 37400, 569, 73291, 496, 42675, 569, 31890, 236793, 174989, 569, 88207, 11804, 51236, 236761, 138, 107, 236772, 5213, 236863, 13970, 28347, 742, 66515, 5517, 58157, 31659, 1642, 49016, 12125, 772, 525, 27361, 570, 72040, 91320, 569, 114209, 236761, 138, 107, 236772, 5213, 5183, 18919, 5379, 66515, 7423, 516, 15373, 109788, 569, 78847, 569, 82470, 236761, 138, 108, 1018, 92249, 49511, 66515, 138, 107, 236772, 5213, 236799, 17157, 782, 237291, 1733, 238825, 4075, 66515, 565, 37879, 48371, 1092, 51940, 236743, 236770, 236828, 41885, 13940, 34402, 57199, 7292, 505, 6732, 236793, 54485, 1664, 97137, 211262, 122734, 42900, 236761, 138, 107, 236772, 5213, 236780, 236898, 565, 6732, 41178, 1733, 13121, 94420, 22383, 66515, 565, 1228, 29783, 42170, 39265, 58566, 58986, 17928, 7104, 505, 237375, 139575, 3884, 32421, 46957, 32025, 58481, 8665, 40486, 236761, 138, 107, 236772, 5213, 7762, 236754, 203603, 66515, 54011, 67187, 3322, 26220, 22027, 68846, 50350, 13311, 236761, 138, 108, 7243, 108, 2595, 5213, 236810, 236761, 12067, 50228, 1018, 138, 107, 1018, 27832, 66515, 138, 107, 236772, 64063, 15430, 684, 870, 3682, 1619, 138, 107, 236772, 13948, 236787, 18924, 791, 3236, 236764, 900, 236770, 236743, 236810, 236810, 236810, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 1109, 4462, 791, 3236, 236940, 37939, 18582, 236761, 3284, 138, 107, 236772, 85595, 37210, 9413, 532, 16441, 699, 3068, 67529, 236761, 138, 108, 1018, 80353, 66515, 138, 107, 236772, 13810, 72799, 57203, 15349, 1162, 870, 129286, 1619, 138, 107, 236772, 13948, 236748, 236787, 18924, 791, 3236, 236764, 900, 236770, 236743, 236810, 236810, 236810, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 1109, 4462, 791, 3236, 236940, 37939, 18582, 236761, 3284, 138, 107, 236772, 1455, 20546, 62964, 569, 105488, 570, 170751, 569, 39755, 5996, 60769, 236761, 138, 108, 1018, 92249, 49511, 66515, 138, 107, 236772, 219857, 29023, 42775, 15291, 27134, 17440, 870, 174841, 1619, 138, 107, 236772, 104146, 28749, 236787, 18924, 791, 3236, 236764, 900, 236770, 236743, 236810, 236810, 236810, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 1109, 4462, 791, 3236, 236940, 37939, 18582, 236761, 3284, 138, 107, 236772, 7968, 10133, 132362, 97137, 52441, 41450, 17473, 3884, 42170, 35112, 42775, 68871, 12835, 18234, 32623, 27134, 19062, 236761, 138, 108, 7243, 108, 10354, 5213, 75652, 7167, 29822, 1018, 138, 107, 1018, 92249, 236788, 44547, 88582, 11220, 99382, 815, 506, 5213, 22468, 598, 4087, 3423, 1018, 528, 203299, 236772, 92249, 49511, 67529, 236764, 10916, 49326, 33000, 528, 808, 236788, 44547, 1037, 236772, 92249, 49511, 151945, 236829, 568, 721, 2831, 552, 1389, 2564, 236745, 9022, 557, 236761, 854, 10595, 769, 9963, 97460, 1894, 532, 2707, 607, 19549, 4749, 1386, 1091, 7436, 236761, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236772, 116126, 506, 7930, 573, 1546, 2260, 29822, 1699, 4889, 699, 910, 20183, 236761, 138, 107, 236772, 118189, 16910, 236788, 44547, 88582, 11220, 12227, 236751, 1982, 2707, 528, 822, 4068, 43285, 236761, 138, 107, 236772, 66636, 37210, 9413, 1680, 201585, 23047, 236761, 138, 108, 38786, 611, 1133, 1601, 81016, 672, 7930, 1131, 496, 10781, 2354, 653, 68657, 3530, 10458, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 33287, 791, 3236, 236787, 623, 10979, 236888, 564, 236858, 236757, 18924, 791, 3236, 236764, 496, 108786, 528, 1799, 65431, 1015, 992, 132240, 3399, 4749, 573, 1041, 2263, 203299, 236772, 92249, 49511, 9226, 2299, 236761, 1191, 236858, 500, 6995, 496, 808, 50455, 236829, 19138, 26614, 199198, 4252, 236764, 203299, 27249, 236764, 532, 56773, 808, 26670, 15861, 4972, 236829, 568, 5282, 6672, 808, 3146, 236748, 236829, 779, 840, 564, 1202, 1601, 8159, 5213, 500, 169270, 2260, 26427, 1018, 1015, 1451, 8324, 607, 775, 531, 1845, 506, 4972, 147810, 236761, 669, 12498, 236772, 24333, 236858, 236751, 5904, 537, 236779, 829, 236779, 576, 236779, 236755, 236779, 1168, 5072, 4011, 573, 672, 237028, 46052, 611, 33205, 496, 1694, 529, 22265, 236772, 5140, 2260, 26427, 25118, 6112, 573, 106980, 236764, 808, 50771, 17511, 30237, 532, 2707, 607, 5213, 37939, 4749, 1018, 236881, 564, 236858, 236753, 992, 1202, 910, 3662, 4889, 532, 3019, 8375, 236761, 3792, 236858, 236751, 1386, 2889, 901, 236858, 500, 1932, 531, 65122, 607, 5251, 54213, 9332, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 6443, 236756, 236771, 236770, 236770, 236771, 236785, 236756, 236770, 15919, 236770, 236747, 1953, 236785, 236756, 236771, 236771, 236744, 236770, 236745, 96284, 833, 31698, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 15897, 236779, 2865, 3747, 1083, 11058, 92249, 49511, 620, 8043, 827, 623, 46640, 2460, 33000, 827, 623, 111534, 14680, 33972, 14255, 623, 11607, 1083, 3714, 31935, 1083, 623, 2574, 1411, 1926, 109333, 26670, 15861, 236761, 854, 827, 623, 6774, 1083, 623, 101826, 28268, 236940, 1926, 109333, 236761, 854, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236819, 236771, 236828, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 23179, 623, 7777, 1083, 623, 23244, 5411, 528, 6672, 56773, 57665, 4972, 607, 236743, 236770, 236778, 236862, 1518, 11584, 9226, 4749, 236761, 64253, 97460, 4698, 573, 5251, 67529, 221476, 3714, 1201, 1083, 623, 236773, 236785, 236756, 236771, 236771, 236760, 236812, 829, 640, 236785, 236756, 236770, 524, 236800, 829, 28234, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 15897, 236779, 2865, 3747, 1083, 11058, 16493, 16314, 620, 8043, 3797, 827, 623, 31728, 800, 18612, 31100, 827, 623, 21048, 236772, 50771, 2460, 26937, 14255, 623, 11607, 1083, 3714, 31935, 1083, 623, 2574, 1411, 24013, 78463, 236761, 27698, 827, 623, 6774, 1083, 623, 18582, 236940, 24013, 78463, 236761, 27698, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 112171, 32462, 9252, 236764, 22265, 23179, 623, 7777, 1083, 623, 157061, 684, 22265, 32462, 37728, 8096, 236761, 35653, 55666, 607, 203299, 236772, 92249, 49511, 4402, 528, 11485, 130482, 236789, 236751, 19549, 41550, 221476, 3714, 1201, 1083, 623, 3586, 236785, 236756, 236771, 236771, 5742, 587, 236785, 236756, 236770, 1172, 236819, 640, 236785, 236756, 236770, 2167, 236800, 236758, 558, 236785, 236756, 236771, 236771, 236744, 236770, 236755, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 15897, 236779, 2865, 3747, 1083, 11058, 51454, 15861, 5842, 20310, 827, 623, 46640, 61259, 4122, 827, 623, 13666, 53300, 5602, 1894, 14255, 623, 11607, 1083, 3714, 31935, 1083, 623, 2574, 1411, 791, 222765, 236761, 27698, 827, 623, 6774, 1083, 623, 65739, 236940, 791, 222765, 236761, 1364, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236778, 236828, 236743, 236800, 236828, 236812, 236828, 236743, 236832, 236832, 236832, 236832, 23179, 623, 7777, 1083, 623, 87469, 573, 15502, 10471, 236772, 58205, 4681, 236761, 64253, 14361, 236772, 92249, 49511, 180857, 573, 4071, 236772, 12148, 2460, 6995, 1781, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236810, 236764, 623, 2763, 37755, 1083, 623, 2313, 552, 1389, 2564, 236745, 9022, 557, 236761, 854, 37414, 92578, 37210, 9413, 1680, 11403, 41716, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 66756, 22265, 236772, 5140, 2260, 26427, 9273, 573, 822, 19549, 19138, 236764, 132187, 9226, 17511, 532, 3399, 2460, 2707, 236787, 108, 236770, 236761, 5213, 237703, 5714, 209484, 96284, 833, 31698, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236832, 236786, 236810, 138, 107, 139, 246080, 900, 236828, 236812, 236743, 236819, 236771, 236828, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 1109, 236743, 246978, 870, 42475, 5457, 2574, 1411, 1926, 109333, 26670, 15861, 236761, 854, 236768, 138, 107, 139, 1018, 22993, 66515, 43899, 56773, 620, 8043, 236764, 97460, 4698, 573, 5251, 67529, 236764, 9226, 14680, 33972, 236761, 138, 107, 139, 236829, 116153, 573, 63508, 124476, 620, 8043, 10884, 607, 14739, 528, 4071, 236772, 50771, 4749, 236761, 108, 236778, 236761, 5213, 236773, 4231, 175170, 28234, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236810, 236786, 236810, 138, 107, 139, 249979, 4749, 236940, 24013, 78463, 236761, 27698, 1109, 236743, 244343, 236743, 236770, 236778, 236800, 112171, 32462, 9252, 138, 107, 139, 246978, 870, 42475, 5457, 2574, 1411, 24013, 78463, 236761, 27698, 236768, 138, 107, 139, 1018, 22993, 66515, 220465, 620, 8043, 3797, 236764, 4071, 236772, 50771, 2460, 26937, 236761, 138, 107, 139, 236829, 10282, 63508, 50618, 684, 22265, 32462, 37728, 8096, 236793, 9763, 528, 203299, 236772, 92249, 49511, 41550, 236761, 108, 236800, 236761, 5213, 3586, 237066, 69083, 640, 17764, 558, 3609, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236800, 236786, 236810, 138, 107, 139, 246080, 900, 236828, 236812, 236743, 236778, 236828, 236743, 236800, 236828, 236812, 236828, 236743, 236832, 236832, 236832, 236832, 1109, 236743, 246978, 870, 42475, 5457, 2574, 1411, 791, 222765, 236761, 27698, 236768, 138, 107, 139, 1018, 22993, 66515, 10112, 53300, 1894, 568, 80353, 236786, 92249, 49511, 779, 57665, 5842, 20310, 236764, 3399, 61259, 4122, 236761, 138, 107, 139, 236829, 56767, 63508, 122744, 10471, 236772, 58205, 4681, 573, 33000, 236761, 108, 1018, 9640, 3835, 2487, 66515, 236743, 236770, 236810, 568, 236800, 3505, 2787, 769, 138, 107, 195096, 5213, 4396, 31026, 66515, 66636, 37210, 9413, 1680, 201585, 33000, 568, 527, 810, 2831, 552, 1389, 2564, 236745, 9022, 557, 236761, 854, 15700, 769, 138, 108, 38786, 611, 1133, 1601, 57416, 1027, 529, 1239, 236764, 653, 4767, 4889, 1003, 3530, 3019, 1133, 30426, 18612, 31100, 653, 97460, 4698, 15830, 236881, 106, 107, 105, 2364, 107, 33287, 791, 3236, 236787, 623, 14782, 611, 573, 506, 1694, 236888, 564, 236858, 236753, 1133, 531, 12019, 672, 1679, 3342, 236761, 28344, 611, 33205, 919, 4889, 1003, 837, 529, 1239, 236743, 236770, 236810, 2260, 26427, 735, 14481, 2707, 607, 5213, 65739, 9226, 67529, 1018, 568, 5282, 203299, 236772, 92249, 49511, 4749, 236768, 532, 2729, 5213, 236763, 53300, 1894, 528, 14361, 236786, 92249, 49511, 1018, 236881, 6542, 236764, 776, 1027, 529, 1091, 2847, 5213, 103549, 18612, 31100, 1018, 531, 5330, 1023, 620, 8043, 4972, 8913, 607, 3399, 2979, 236881, 22282, 77372, 506, 1903, 236743, 236810, 1346, 7798, 3835, 607, 3662, 4889, 573, 910, 11403, 157882, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3070, 26427, 1083, 78493, 1201, 1083, 623, 92249, 236788, 44547, 88582, 11220, 10498, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 11607, 1083, 3714, 6774, 1083, 623, 101826, 28268, 236940, 98311, 35056, 4282, 155103, 236761, 854, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236819, 236771, 236800, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 827, 623, 31935, 1083, 623, 2769, 236761, 98311, 35056, 4282, 155103, 236761, 854, 23179, 623, 15897, 1083, 3714, 236763, 53300, 236779, 9442, 1083, 623, 80353, 236786, 92249, 49511, 827, 623, 50771, 236779, 207395, 847, 1083, 11058, 236788, 44547, 1037, 236772, 92249, 49511, 151945, 827, 623, 13554, 1536, 236772, 86436, 4585, 2343, 23507, 14255, 623, 103549, 236779, 34697, 522, 1083, 1847, 236764, 623, 18146, 1662, 236779, 35365, 1083, 11058, 236855, 8043, 827, 623, 51454, 15861, 1935, 5237, 3714, 1201, 1083, 623, 159927, 11250, 41302, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 11607, 1083, 3714, 6774, 1083, 623, 1475, 8561, 236940, 26670, 605, 123857, 236761, 27698, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236778, 236828, 236743, 236800, 236828, 236778, 236778, 236743, 236832, 236832, 236828, 236828, 827, 623, 31935, 1083, 623, 2769, 236761, 26670, 605, 123857, 236761, 27698, 23179, 623, 15897, 1083, 3714, 236763, 53300, 236779, 9442, 1083, 623, 80353, 236786, 92249, 49511, 827, 623, 50771, 236779, 207395, 847, 1083, 11058, 139980, 236772, 236788, 44547, 7449, 148370, 827, 623, 13666, 48467, 14669, 31698, 14255, 623, 103549, 236779, 34697, 522, 1083, 1847, 236764, 623, 18146, 1662, 236779, 35365, 1083, 11058, 236855, 8043, 827, 623, 18312, 3703, 1935, 5237, 3714, 1201, 1083, 623, 227567, 9290, 28234, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 11607, 1083, 3714, 6774, 1083, 623, 54167, 5099, 236940, 15780, 514, 7991, 236761, 28765, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236819, 236828, 236832, 236743, 236825, 236810, 236812, 236743, 236800, 236778, 236770, 827, 623, 31935, 1083, 623, 2769, 236761, 15780, 514, 7991, 236761, 28765, 23179, 623, 15897, 1083, 3714, 236763, 53300, 236779, 9442, 1083, 623, 80353, 236786, 92249, 49511, 827, 623, 50771, 236779, 207395, 847, 1083, 11058, 53601, 236772, 86436, 32462, 19651, 41327, 14255, 623, 103549, 236779, 34697, 522, 1083, 1847, 236764, 623, 18146, 1662, 236779, 35365, 1083, 11058, 236855, 8043, 827, 623, 226832, 1935, 5237, 3714, 1201, 1083, 623, 15799, 65175, 41302, 23566, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 11607, 1083, 3714, 6774, 1083, 623, 101826, 236940, 4834, 554, 797, 8356, 236761, 854, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236828, 236743, 236800, 236819, 236828, 236832, 236743, 236825, 236810, 236812, 236800, 827, 623, 31935, 1083, 623, 2769, 236761, 4834, 554, 797, 8356, 236761, 854, 23179, 623, 15897, 1083, 3714, 236763, 53300, 236779, 9442, 1083, 623, 80353, 236786, 92249, 49511, 827, 623, 50771, 236779, 207395, 847, 1083, 11058, 139980, 236772, 236788, 44547, 17648, 633, 4650, 827, 623, 21048, 236772, 50771, 4585, 183122, 14255, 623, 103549, 236779, 34697, 522, 1083, 1847, 236764, 623, 18146, 1662, 236779, 35365, 1083, 11058, 236855, 8043, 827, 623, 120714, 28647, 1935, 5237, 3714, 1201, 1083, 623, 236792, 1129, 797, 14232, 74174, 827, 623, 13126, 1083, 236743, 236812, 236761, 236770, 236764, 623, 11607, 1083, 3714, 6774, 1083, 623, 9442, 236940, 22688, 797, 140628, 236761, 2108, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236819, 236800, 236812, 236743, 236810, 236825, 236832, 236743, 236828, 236819, 236771, 827, 623, 31935, 1083, 623, 2769, 236761, 22688, 797, 140628, 236761, 2108, 23179, 623, 15897, 1083, 3714, 236763, 53300, 236779, 9442, 1083, 623, 80353, 236786, 92249, 49511, 827, 623, 50771, 236779, 207395, 847, 1083, 11058, 236792, 1129, 797, 236772, 86436, 11493, 37747, 14255, 623, 103549, 236779, 34697, 522, 1083, 1847, 236764, 623, 18146, 1662, 236779, 35365, 1083, 11058, 236855, 8043, 827, 623, 51942, 63695, 1935, 1807, 1604, 623, 2763, 37755, 1083, 623, 3243, 1938, 563, 56466, 699, 2831, 552, 1389, 2564, 236745, 9022, 557, 236761, 854, 236789, 236751, 236743, 236778, 236771, 236778, 236810, 1366, 236778, 27662, 38332, 236761, 13948, 4889, 1374, 577, 44526, 5467, 607, 15063, 1680, 33000, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 5213, 3991, 236743, 236810, 22265, 236772, 5140, 2260, 26427, 1018, 607, 14481, 2707, 528, 5213, 65739, 9226, 67529, 125546, 5213, 236763, 53300, 14361, 236786, 92249, 49511, 1894, 125546, 532, 5213, 103549, 18612, 31100, 66515, 108, 236770, 236761, 5213, 92249, 236788, 44547, 88582, 11220, 99382, 138, 107, 139, 240281, 236743, 236812, 236761, 236832, 236786, 236810, 138, 107, 139, 246080, 900, 236828, 236812, 236743, 236819, 236771, 236800, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 1109, 236743, 246978, 870, 42475, 5457, 2769, 236761, 98311, 35056, 4282, 155103, 236761, 854, 236768, 138, 107, 139, 1018, 22993, 66515, 138, 107, 139, 236772, 224350, 1894, 236787, 14361, 236786, 92249, 49511, 138, 107, 139, 236772, 32462, 67529, 236787, 203299, 236772, 92249, 49511, 151945, 236764, 96724, 236772, 86436, 4585, 2343, 23507, 138, 107, 139, 236772, 124476, 18612, 31100, 236787, 8438, 138, 107, 139, 236772, 144075, 4972, 236787, 751, 8043, 236764, 96284, 138, 108, 236778, 236761, 5213, 159927, 11250, 41302, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236810, 236786, 236810, 138, 107, 139, 246080, 900, 236828, 236812, 236743, 236778, 236828, 236743, 236800, 236828, 236778, 236778, 236743, 236832, 236832, 236828, 236828, 1109, 236743, 246978, 870, 42475, 5457, 2769, 236761, 26670, 605, 123857, 236761, 27698, 236768, 138, 107, 139, 1018, 22993, 66515, 138, 107, 139, 236772, 224350, 1894, 236787, 14361, 236786, 92249, 49511, 138, 107, 139, 236772, 32462, 67529, 236787, 22265, 236772, 236788, 44547, 7449, 148370, 236764, 218598, 14669, 31698, 138, 107, 139, 236772, 124476, 18612, 31100, 236787, 8438, 138, 107, 139, 236772, 144075, 4972, 236787, 751, 8043, 236764, 7338, 3703, 138, 108, 236800, 236761, 5213, 227567, 9290, 28234, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236800, 236786, 236810, 138, 107, 139, 246080, 900, 236828, 236812, 236743, 236819, 236828, 236832, 236743, 236825, 236810, 236812, 236743, 236800, 236778, 236770, 1109, 236743, 246978, 870, 42475, 5457, 2769, 236761, 15780, 514, 7991, 236761, 28765, 236768, 138, 107, 139, 1018, 22993, 66515, 138, 107, 139, 236772, 224350, 1894, 236787, 14361, 236786, 92249, 49511, 138, 107, 139, 236772, 32462, 67529, 236787, 11560, 236772, 86436, 32462, 19651, 41327, 138, 107, 139, 236772, 124476, 18612, 31100, 236787, 8438, 138, 107, 139, 236772, 144075, 4972, 236787, 751, 8043, 236764, 109391, 138, 108, 236812, 236761, 5213, 15799, 65175, 41302, 23566, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236778, 236786, 236810, 138, 107, 139, 246080, 900, 236828, 236812, 236743, 236828, 236743, 236800, 236819, 236828, 236832, 236743, 236825, 236810, 236812, 236800, 1109, 236743, 246978, 870, 42475, 5457, 2769, 236761, 4834, 554, 797, 8356, 236761, 854, 236768, 138, 107, 139, 1018, 22993, 66515, 138, 107, 139, 236772, 224350, 1894, 236787, 14361, 236786, 92249, 49511, 138, 107, 139, 236772, 32462, 67529, 236787, 22265, 236772, 236788, 44547, 17648, 633, 4650, 236764, 12713, 236772, 50771, 4585, 183122, 138, 107, 139, 236772, 124476, 18612, 31100, 236787, 8438, 138, 107, 139, 236772, 144075, 4972, 236787, 751, 8043, 236764, 168486, 138, 108, 236810, 236761, 5213, 236792, 1129, 797, 14232, 74174, 1018, 138, 107, 139, 240281, 236743, 236812, 236761, 236770, 236786, 236810, 138, 107, 139, 246080, 900, 236828, 236812, 236743, 236819, 236800, 236812, 236743, 236810, 236825, 236832, 236743, 236828, 236819, 236771, 1109, 236743, 246978, 870, 42475, 5457, 2769, 236761, 22688, 797, 140628, 236761, 2108, 236768, 138, 107, 139, 1018, 22993, 66515, 138, 107, 139, 236772, 224350, 1894, 236787, 14361, 236786, 92249, 49511, 138, 107, 139, 236772, 32462, 67529, 236787, 161992, 236772, 86436, 11493, 37747, 138, 107, 139, 236772, 124476, 18612, 31100, 236787, 8438, 138, 107, 139, 236772, 144075, 4972, 236787, 751, 8043, 236764, 68448, 63695, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236772, 13948, 1239, 2260, 26427, 531, 3249, 11403, 3755, 236764, 17096, 25000, 607, 822, 2460, 236858, 236751, 30426, 8443, 236761, 138, 107, 236772, 16499, 16441, 699, 3068, 5251, 67529, 568, 236744, 236761, 236759, 1126, 22265, 236772, 236788, 44547, 5699, 769, 138, 107, 236772, 66636, 37210, 9413, 5467, 607, 15063, 1680, 201585, 23047, 236761, 138, 108, 38786, 611, 1133, 1601, 66582, 496, 11403, 15523, 7930, 573, 1239, 19722, 236881, 106, 107, 105, 2364, 107, 33287, 791, 3236, 236787, 623, 10784, 236764, 5091, 12262, 496, 5213, 236763, 53300, 11403, 15523, 7930, 1018, 568, 80353, 236786, 92249, 49511, 236768, 36443, 573, 1239, 2260, 26427, 236761, 12213, 10458, 573, 236787, 236743, 236770, 236761, 12209, 21385, 568, 54012, 522, 199198, 4252, 236764, 203299, 27249, 236764, 532, 56773, 620, 8043, 19549, 236768, 236743, 236778, 236761, 45012, 6417, 568, 50771, 8770, 236764, 30426, 18612, 25000, 236764, 3399, 4100, 236768, 236743, 236800, 236761, 28347, 10993, 529, 1800, 7789, 568, 1587, 4884, 236764, 4698, 4122, 236764, 10471, 11211, 236768, 236743, 236812, 236761, 124476, 15700, 568, 10869, 6733, 10034, 236764, 7757, 30616, 8073, 236768, 236743, 236810, 236761, 12067, 6555, 568, 153930, 573, 3072, 236764, 3662, 573, 1500, 236772, 1048, 236768, 9996, 2889, 625, 236858, 236751, 10781, 3819, 22136, 1023, 3399, 236772, 27612, 9017, 236761, 3199, 611, 992, 3600, 837, 2260, 29822, 699, 506, 1903, 236743, 236810, 815, 506, 32879, 4087, 3423, 528, 5213, 236788, 44547, 1037, 236772, 92249, 49511, 67529, 1018, 2721, 580, 2831, 552, 1389, 2564, 236745, 9022, 557, 236761, 854, 236858, 236751, 10595, 7462, 106, 107, 105, 4368, 107, 10354, 5213, 236799, 53300, 45012, 105971, 33404, 1018, 138, 107, 16907, 80353, 236786, 92249, 49511, 12016, 138, 108, 7243, 108, 2595, 5213, 236770, 236761, 41959, 529, 506, 12209, 1018, 138, 107, 1018, 27832, 66515, 138, 107, 71510, 120453, 573, 26095, 236775, 32462, 68683, 236829, 138, 107, 95436, 199198, 4252, 19575, 236764, 203299, 50353, 28023, 236764, 532, 56773, 620, 8043, 4972, 236764, 672, 2460, 17269, 531, 13878, 9226, 23948, 1534, 203299, 236772, 92249, 49511, 8904, 528, 1799, 65431, 532, 22265, 236761, 669, 19138, 795, 7440, 236743, 236810, 236771, 236771, 236862, 40303, 236764, 79720, 30426, 18612, 236764, 9226, 8770, 236764, 532, 3399, 62901, 236761, 138, 108, 1018, 80353, 66515, 138, 107, 236829, 80199, 2103, 32462, 623, 236811, 53663, 1839, 759, 132249, 147698, 138, 107, 157381, 2308, 35555, 532, 1630, 236764, 161636, 569, 109033, 2516, 34062, 1277, 9464, 570, 54925, 569, 620, 8043, 153719, 11780, 236764, 4462, 35466, 44749, 136187, 1450, 759, 42684, 116561, 4154, 2137, 80009, 34062, 1277, 8353, 236772, 98311, 7150, 11780, 696, 1799, 65431, 570, 22265, 236761, 1339, 54807, 759, 88158, 569, 4134, 569, 236743, 236810, 236771, 236771, 15145, 236764, 164567, 53517, 696, 54925, 6355, 6564, 236764, 146077, 9226, 570, 5897, 7373, 10233, 212774, 236761, 138, 108, 1018, 92249, 49511, 66515, 138, 107, 236829, 236798, 238729, 120790, 77510, 640, 29083, 623, 236814, 46524, 558, 23723, 229054, 170956, 147698, 138, 107, 235129, 18234, 53879, 108617, 199198, 236764, 18669, 134477, 24707, 47800, 3884, 55105, 37690, 620, 8043, 52320, 37944, 33154, 11774, 236764, 18457, 52722, 9733, 108776, 505, 91473, 75402, 134522, 19395, 28749, 44693, 37442, 39652, 53031, 23692, 47800, 236772, 31422, 13459, 14805, 1799, 65431, 3884, 33154, 11774, 236761, 236126, 50793, 13311, 78711, 19066, 236743, 236810, 236771, 236771, 10279, 42775, 28856, 236764, 22947, 31612, 13940, 55105, 37690, 4032, 53651, 182944, 236764, 39501, 55032, 44693, 37442, 3884, 94503, 21587, 26571, 39019, 53031, 23692, 236761, 138, 108, 7243, 108, 2595, 5213, 236778, 236761, 45012, 36767, 1018, 138, 107, 1018, 27832, 66515, 138, 107, 236772, 5213, 111534, 19651, 66515, 129274, 822, 5500, 618, 496, 8575, 528, 4071, 236772, 50771, 13862, 236761, 138, 107, 236772, 5213, 31728, 800, 77453, 66515, 200607, 580, 496, 5058, 20329, 7757, 30616, 532, 1919, 6733, 236761, 138, 107, 236772, 5213, 46640, 27938, 66515, 12730, 496, 4400, 236772, 27612, 2460, 607, 4009, 12606, 532, 1440, 236772, 6061, 91205, 236761, 138, 108, 1018, 80353, 66515, 138, 107, 236772, 5213, 3845, 54643, 897, 32462, 66515, 20185, 223431, 664, 30177, 3105, 48051, 696, 146302, 172766, 236761, 138, 107, 236772, 5213, 236776, 1257, 2103, 36602, 1614, 66515, 2111, 596, 663, 696, 1985, 46821, 929, 2767, 151831, 54925, 77505, 570, 52730, 75438, 236761, 138, 107, 236772, 5213, 66207, 236748, 1301, 6805, 3945, 66515, 10496, 58186, 723, 35466, 591, 98661, 12990, 15720, 570, 68658, 31963, 5813, 146895, 236761, 138, 108, 1018, 92249, 49511, 66515, 138, 107, 236772, 5213, 236823, 20275, 134445, 77510, 640, 29083, 66515, 211754, 25440, 39330, 31015, 3244, 18233, 37751, 54923, 8374, 36784, 23271, 48078, 44693, 37442, 236761, 138, 107, 236772, 5213, 3586, 237414, 640, 17764, 7968, 17727, 84471, 66515, 640, 17764, 32623, 14780, 76118, 494, 19712, 117434, 103070, 7292, 505, 6732, 4032, 117677, 73187, 3884, 32733, 54481, 48371, 1092, 236761, 138, 107, 236772, 5213, 147562, 640, 26258, 140050, 87258, 66515, 640, 238688, 58986, 18457, 52722, 4032, 52320, 27783, 48580, 197337, 3884, 26305, 54380, 92388, 31889, 73646, 36507, 236761, 138, 108, 7243, 108, 2595, 5213, 236800, 236761, 28347, 10993, 529, 10508, 54743, 1018, 138, 107, 1018, 27832, 66515, 138, 107, 236772, 5213, 23240, 19804, 568, 33287, 791, 3236, 236858, 236751, 10765, 62902, 236787, 138, 107, 138, 236772, 98823, 10884, 236764, 5052, 236764, 532, 7009, 236761, 138, 107, 138, 236772, 18982, 4122, 580, 30426, 18612, 10154, 236761, 138, 107, 236772, 5213, 98346, 7167, 29822, 66515, 138, 107, 138, 236772, 39525, 24335, 620, 8043, 5842, 532, 97460, 4698, 236761, 138, 107, 138, 236772, 19148, 236743, 236770, 236810, 236908, 529, 18612, 10471, 573, 3399, 5699, 236761, 138, 108, 1018, 80353, 66515, 138, 107, 236772, 5213, 227739, 9510, 568, 222452, 569, 18924, 791, 3236, 62902, 236787, 138, 107, 138, 236772, 94701, 2103, 1162, 14830, 236764, 29293, 570, 7009, 236761, 138, 107, 138, 236772, 91501, 65236, 610, 3577, 696, 90713, 569, 31890, 6355, 2486, 236761, 138, 107, 236772, 5213, 236773, 51562, 9162, 4282, 66515, 138, 107, 138, 236772, 34241, 497, 50509, 569, 620, 8043, 591, 105488, 570, 3577, 518, 5206, 192669, 236761, 138, 107, 138, 236772, 120456, 583, 862, 236743, 236770, 236810, 236908, 569, 1450, 82470, 1642, 53231, 66434, 8474, 236761, 138, 108, 1018, 92249, 49511, 66515, 138, 107, 236772, 5213, 48814, 186997, 971, 10329, 568, 237703, 15824, 5042, 18924, 791, 3236, 62902, 236787, 138, 107, 138, 236772, 50356, 31667, 18452, 47559, 18490, 236764, 614, 186667, 3884, 120539, 132639, 236761, 138, 107, 138, 236772, 7968, 11992, 26305, 19576, 29253, 14687, 24707, 29205, 7292, 505, 6732, 4032, 53651, 182944, 236761, 138, 107, 236772, 5213, 230565, 558, 3609, 95175, 134901, 66515, 138, 107, 138, 236772, 565, 1228, 29783, 32421, 18452, 620, 8043, 4032, 97137, 52441, 3884, 19576, 18457, 5410, 90687, 236761, 138, 107, 138, 236772, 106874, 68846, 236743, 236770, 236810, 236908, 50350, 13311, 2096, 6256, 28856, 35363, 53031, 23692, 236761, 138, 108, 7243, 108, 2595, 5213, 236812, 236761, 124476, 54442, 1018, 138, 107, 1018, 27832, 66515, 138, 107, 236772, 5213, 9178, 18157, 66515, 2301, 83075, 6208, 528, 18612, 4106, 236793, 5853, 17507, 50804, 236761, 138, 107, 236772, 5213, 148591, 137576, 66515, 39525, 5405, 573, 34971, 1894, 532, 1076, 11704, 11649, 236761, 138, 107, 236772, 5213, 178475, 66515, 7423, 586, 3034, 10471, 236772, 58205, 41716, 236761, 138, 108, 1018, 80353, 66515, 138, 107, 236772, 5213, 25151, 8234, 220964, 66515, 1255, 3684, 2533, 759, 37400, 569, 73291, 496, 42675, 569, 31890, 236793, 174989, 569, 88207, 11804, 51236, 236761, 138, 107, 236772, 5213, 236863, 13970, 28347, 742, 66515, 5517, 58157, 31659, 1642, 49016, 12125, 772, 525, 27361, 570, 72040, 91320, 569, 114209, 236761, 138, 107, 236772, 5213, 5183, 18919, 5379, 66515, 7423, 516, 15373, 109788, 569, 78847, 569, 82470, 236761, 138, 108, 1018, 92249, 49511, 66515, 138, 107, 236772, 5213, 236799, 17157, 782, 237291, 1733, 238825, 4075, 66515, 565, 37879, 48371, 1092, 51940, 236743, 236770, 236828, 41885, 13940, 34402, 57199, 7292, 505, 6732, 236793, 54485, 1664, 97137, 211262, 122734, 42900, 236761, 138, 107, 236772, 5213, 236780, 236898, 565, 6732, 41178, 1733, 13121, 94420, 22383, 66515, 565, 1228, 29783, 42170, 39265, 58566, 58986, 17928, 7104, 505, 237375, 139575, 3884, 32421, 46957, 32025, 58481, 8665, 40486, 236761, 138, 107, 236772, 5213, 7762, 236754, 203603, 66515, 54011, 67187, 3322, 26220, 22027, 68846, 50350, 13311, 236761, 138, 108, 7243, 108, 2595, 5213, 236810, 236761, 12067, 50228, 1018, 138, 107, 1018, 27832, 66515, 138, 107, 236772, 64063, 15430, 684, 870, 3682, 1619, 138, 107, 236772, 13948, 236787, 18924, 791, 3236, 236764, 900, 236770, 236743, 236810, 236810, 236810, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 1109, 4462, 791, 3236, 236940, 37939, 18582, 236761, 3284, 138, 107, 236772, 85595, 37210, 9413, 532, 16441, 699, 3068, 67529, 236761, 138, 108, 1018, 80353, 66515, 138, 107, 236772, 13810, 72799, 57203, 15349, 1162, 870, 129286, 1619, 138, 107, 236772, 13948, 236748, 236787, 18924, 791, 3236, 236764, 900, 236770, 236743, 236810, 236810, 236810, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 1109, 4462, 791, 3236, 236940, 37939, 18582, 236761, 3284, 138, 107, 236772, 1455, 20546, 62964, 569, 105488, 570, 170751, 569, 39755, 5996, 60769, 236761, 138, 108, 1018, 92249, 49511, 66515, 138, 107, 236772, 219857, 29023, 42775, 15291, 27134, 17440, 870, 174841, 1619, 138, 107, 236772, 104146, 28749, 236787, 18924, 791, 3236, 236764, 900, 236770, 236743, 236810, 236810, 236810, 236743, 236770, 236778, 236800, 236743, 236812, 236810, 236825, 1109, 4462, 791, 3236, 236940, 37939, 18582, 236761, 3284, 138, 107, 236772, 7968, 10133, 132362, 97137, 52441, 41450, 17473, 3884, 42170, 35112, 42775, 68871, 12835, 18234, 32623, 27134, 19062, 236761, 138, 108, 7243, 108, 10354, 5213, 75652, 7167, 29822, 1018, 138, 107, 1018, 92249, 236788, 44547, 88582, 11220, 99382, 815, 506, 5213, 22468, 598, 4087, 3423, 1018, 528, 203299, 236772, 92249, 49511, 67529, 236764, 10916, 49326, 33000, 528, 808, 236788, 44547, 1037, 236772, 92249, 49511, 151945, 236829, 568, 721, 2831, 552, 1389, 2564, 236745, 9022, 557, 236761, 854, 10595, 769, 9963, 97460, 1894, 532, 2707, 607, 19549, 4749, 1386, 1091, 7436, 236761, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236772, 116126, 506, 7930, 573, 1546, 2260, 29822, 1699, 4889, 699, 910, 20183, 236761, 138, 107, 236772, 118189, 16910, 236788, 44547, 88582, 11220, 12227, 236751, 1982, 2707, 528, 822, 4068, 43285, 236761, 138, 107, 236772, 66636, 37210, 9413, 1680, 201585, 23047, 236761, 138, 108, 38786, 611, 1133, 1601, 81016, 672, 7930, 1131, 496, 10781, 2354, 653, 68657, 3530, 10458, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 11702, 2148, 2297, 532, 1461, 531, 2426, 768, 506, 236743, 236810, 594, 236764, 236743, 236770, 236778, 594, 236764, 532, 236743, 236770, 236819, 594, 529, 2148, 2297, 659, 27437, 2668, 3894, 531, 506, 51878, 14626, 236761, 1637, 1027, 529, 1091, 659, 27437, 2668, 236764, 564, 1202, 531, 1281, 834, 692, 740, 217563, 236761, 3199, 611, 1601, 786, 607, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 499, 37591, 236779, 11283, 1083, 623, 5239, 1179, 6493, 827, 623, 499, 37591, 236779, 1496, 1083, 236743, 236778, 236770, 236764, 623, 5805, 2274, 1004, 1083, 2977, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 499, 37591, 236779, 1896, 1083, 3714, 3704, 1083, 236743, 236810, 236832, 236828, 236812, 236764, 623, 11283, 1083, 623, 5239, 1179, 6493, 827, 623, 1496, 1083, 236743, 236778, 236819, 236764, 623, 5805, 2274, 1004, 1083, 2977, 1263, 623, 236759, 2291, 61415, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236778, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 11283, 1083, 623, 236402, 3096, 827, 623, 1496, 1083, 236743, 236832, 236764, 623, 5805, 2274, 1004, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 9336, 529, 506, 14069, 611, 9155, 568, 36956, 236743, 236810, 594, 236764, 236743, 236770, 236778, 594, 236764, 653, 236743, 236770, 236819, 594, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 3798, 580, 51878, 27437, 2668, 3894, 531, 506, 14626, 1262, 52236, 236761, 5715, 236789, 236751, 506, 25890, 236787, 108, 236772, 5213, 36956, 236743, 236810, 594, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 2935, 1179, 6493, 236743, 236778, 236770, 568, 1904, 27437, 2668, 236768, 107, 236772, 5213, 36956, 236743, 236770, 236778, 594, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 2935, 1179, 6493, 236743, 236778, 236819, 568, 1904, 27437, 2668, 236768, 107, 236772, 5213, 36956, 236743, 236770, 236819, 594, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 83749, 3096, 236743, 236832, 568, 1904, 27437, 2668, 236768, 108, 3048, 740, 7162, 607, 822, 7946, 6995, 2180, 28847, 4596, 531, 51878, 12352, 3329, 2499, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 14626, 4889, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 11702, 2148, 2297, 532, 1461, 531, 2426, 768, 506, 236743, 236810, 594, 236764, 236743, 236770, 236778, 594, 236764, 532, 236743, 236770, 236819, 594, 529, 2148, 2297, 659, 27437, 2668, 3894, 531, 506, 51878, 14626, 236761, 1637, 1027, 529, 1091, 659, 27437, 2668, 236764, 564, 1202, 531, 1281, 834, 692, 740, 217563, 236761, 3199, 611, 1601, 786, 607, 672, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 499, 37591, 236779, 11283, 1083, 623, 5239, 1179, 6493, 827, 623, 499, 37591, 236779, 1496, 1083, 236743, 236778, 236770, 236764, 623, 5805, 2274, 1004, 1083, 2977, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 499, 37591, 236779, 1896, 1083, 3714, 3704, 1083, 236743, 236810, 236832, 236828, 236812, 236764, 623, 11283, 1083, 623, 5239, 1179, 6493, 827, 623, 1496, 1083, 236743, 236778, 236819, 236764, 623, 5805, 2274, 1004, 1083, 2977, 1263, 623, 236759, 2291, 61415, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236778, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 11283, 1083, 623, 236402, 3096, 827, 623, 1496, 1083, 236743, 236832, 236764, 623, 5805, 2274, 1004, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 9336, 529, 506, 14069, 611, 9155, 568, 36956, 236743, 236810, 594, 236764, 236743, 236770, 236778, 594, 236764, 653, 236743, 236770, 236819, 594, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 3798, 580, 51878, 27437, 2668, 3894, 531, 506, 14626, 1262, 52236, 236761, 5715, 236789, 236751, 506, 25890, 236787, 108, 236772, 5213, 36956, 236743, 236810, 594, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 2935, 1179, 6493, 236743, 236778, 236770, 568, 1904, 27437, 2668, 236768, 107, 236772, 5213, 36956, 236743, 236770, 236778, 594, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 2935, 1179, 6493, 236743, 236778, 236819, 568, 1904, 27437, 2668, 236768, 107, 236772, 5213, 36956, 236743, 236770, 236819, 594, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 83749, 3096, 236743, 236832, 568, 1904, 27437, 2668, 236768, 108, 3048, 740, 7162, 607, 822, 7946, 6995, 2180, 28847, 4596, 531, 51878, 12352, 3329, 2499, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 14626, 4889, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 4803, 4668, 10308, 1003, 13726, 5417, 528, 5431, 699, 506, 3068, 2297, 236761, 564, 1461, 531, 4196, 10448, 580, 3956, 82483, 531, 1894, 1041, 6334, 5671, 529, 10425, 496, 5431, 7616, 236761, 3199, 611, 1161, 506, 4668, 47186, 5904, 531, 9385, 672, 1938, 236881, 7323, 3213, 580, 14050, 1133, 40399, 5417, 236764, 2778, 236772, 11401, 3788, 8403, 236764, 532, 28597, 236772, 18865, 1698, 36253, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 2861, 1083, 236743, 236778, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 827, 623, 2861, 1083, 236743, 236770, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236832, 827, 623, 2861, 1083, 236743, 236778, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236771, 827, 623, 2861, 1083, 236743, 236800, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 827, 623, 2861, 1083, 236743, 236778, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 2861, 1083, 236743, 236800, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 2861, 1083, 236743, 236778, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 827, 623, 2861, 1083, 236743, 236770, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2861, 1083, 236743, 236778, 236770, 104960, 623, 6725, 1083, 236743, 236778, 236778, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12323, 529, 4803, 4668, 10308, 1003, 13726, 5417, 528, 5431, 699, 506, 3068, 2297, 568, 36022, 236743, 236770, 236810, 753, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1473, 108, 249772, 5213, 9640, 39009, 7989, 66515, 236743, 236778, 236778, 236810, 138, 107, 249460, 5213, 14254, 23531, 27613, 66515, 107, 236772, 6198, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 236743, 236800, 236810, 10308, 568, 36344, 38679, 528, 12606, 236768, 107, 236772, 5857, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 236743, 236800, 236771, 10308, 107, 236772, 6198, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 236743, 236778, 236832, 10308, 108, 3503, 15067, 5773, 236787, 107, 236770, 236761, 5213, 5766, 37917, 26810, 66515, 34489, 10308, 24724, 36253, 528, 40399, 8103, 236764, 101922, 3863, 236764, 532, 8901, 74746, 107, 236778, 236761, 5213, 35741, 236772, 174890, 57939, 66515, 85406, 10317, 580, 30461, 10321, 1702, 532, 9691, 31793, 5417, 107, 236800, 236761, 5213, 7163, 143877, 66515, 22624, 10308, 6950, 861, 106326, 31793, 532, 6800, 236772, 216056, 12625, 24277, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 39525, 3530, 8698, 529, 4803, 124188, 236881, 107, 236778, 236761, 112676, 506, 3927, 531, 2931, 1159, 51996, 236881, 107, 236800, 236761, 7179, 573, 506, 1346, 22829, 3956, 7021, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1460, 3530, 8698, 529, 4803, 124188, 528, 106326, 31793, 532, 6800, 236772, 216056, 12625, 6950, 528, 506, 10308, 236761, 6542, 236764, 1451, 611, 8701, 506, 1903, 236743, 236800, 1346, 236772, 138386, 3956, 7021, 528, 1239, 4668, 8511, 236881, 1174, 1093, 1601, 786, 6054, 837, 25386, 531, 1500, 573, 13451, 1938, 580, 13726, 5431, 15067, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 974, 919, 3530, 1938, 1003, 1724, 124188, 532, 8701, 2307, 3956, 7021, 236761, 3792, 786, 1845, 496, 919, 10317, 3927, 580, 1239, 3530, 14050, 236787, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2289, 236779, 22894, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 827, 623, 2861, 1083, 236743, 236770, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236828, 827, 623, 2861, 1083, 236743, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236771, 827, 623, 2861, 1083, 236743, 236770, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 827, 623, 2861, 1083, 236743, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 827, 623, 2861, 1083, 236743, 236778, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236828, 827, 623, 2861, 1083, 236743, 236770, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 2861, 1083, 236743, 236770, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 2861, 1083, 236743, 236778, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 827, 623, 2861, 1083, 236743, 236800, 236812, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 827, 623, 2861, 1083, 236743, 236778, 236770, 104960, 623, 3991, 236779, 30182, 1083, 78493, 6265, 1083, 623, 17224, 36161, 10950, 827, 623, 24948, 1083, 236743, 236812, 236778, 1263, 3714, 6265, 1083, 623, 174779, 22039, 40502, 827, 623, 24948, 1083, 236743, 236800, 236828, 1263, 3714, 6265, 1083, 623, 147716, 137388, 606, 26194, 827, 623, 24948, 1083, 236743, 236800, 236770, 104960, 623, 6725, 236779, 24948, 1083, 236743, 236778, 236778, 236819, 236764, 623, 3278, 236779, 44384, 1083, 623, 236819, 236828, 236761, 236778, 236908, 529, 16590, 10308, 17480, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 9813, 12396, 580, 3530, 124188, 532, 2307, 3956, 7021, 236787, 108, 240785, 5213, 38782, 17429, 70731, 66515, 107, 236772, 5213, 206589, 55600, 742, 161960, 66515, 236743, 107, 138, 236772, 5857, 236743, 236778, 236810, 568, 236778, 236800, 10308, 1473, 34489, 7248, 580, 43668, 236772, 5140, 195751, 1940, 31793, 31760, 41954, 107, 138, 236772, 6198, 236743, 236810, 568, 236778, 236832, 10308, 1473, 1799, 56758, 236772, 42179, 31793, 5417, 607, 9806, 4304, 8047, 107, 138, 236772, 6198, 236743, 236770, 236771, 568, 236800, 236812, 10308, 1473, 18787, 46341, 528, 44166, 742, 47259, 31793, 607, 16595, 11775, 5082, 108, 236772, 5213, 71275, 236772, 24005, 504, 16983, 56276, 66515, 107, 138, 236772, 5857, 236743, 236778, 236771, 568, 236770, 236810, 10308, 1473, 85406, 529, 2671, 236778, 236772, 3889, 5861, 522, 12625, 10425, 2157, 236772, 96808, 607, 6672, 68328, 107, 138, 236772, 6198, 236743, 236770, 568, 236770, 236819, 10308, 1473, 1799, 3956, 83073, 573, 6800, 236772, 27851, 12625, 3211, 107, 138, 236772, 6198, 236743, 236770, 236778, 568, 236778, 236770, 10308, 1473, 27708, 580, 1265, 236772, 154844, 12780, 236772, 108025, 600, 81757, 2671, 236778, 1913, 66313, 108, 243594, 5213, 8534, 236743, 236800, 20467, 49174, 66515, 107, 236770, 236761, 5213, 17224, 36161, 10950, 1018, 568, 236812, 236778, 10308, 236768, 753, 74924, 12606, 529, 2561, 36253, 107, 236778, 236761, 5213, 174779, 22039, 40502, 1018, 568, 236800, 236828, 10308, 236768, 753, 27717, 3213, 580, 10231, 8688, 107, 236800, 236761, 5213, 147716, 137388, 606, 26194, 1018, 568, 236800, 236770, 10308, 236768, 753, 72875, 236772, 9003, 2958, 532, 2913, 12496, 108, 9208, 7021, 659, 1388, 236772, 178916, 528, 506, 3956, 532, 22541, 13037, 1494, 236772, 15276, 3004, 580, 13726, 5431, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 39525, 1982, 9851, 531, 1239, 25386, 236789, 17909, 236881, 107, 236778, 236761, 119281, 969, 3530, 1698, 47821, 6950, 528, 1239, 10308, 236881, 107, 236800, 236761, 8600, 496, 13822, 9690, 1458, 573, 861, 18783, 528, 1239, 4106, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 14756, 1800, 506, 1982, 9851, 531, 506, 1903, 236743, 236800, 25386, 532, 6514, 872, 496, 13822, 9690, 1458, 573, 861, 18783, 528, 106326, 31793, 532, 6800, 236772, 216056, 12625, 236761, 1174, 795, 1601, 786, 4196, 22541, 13819, 2180, 24473, 19460, 1546, 2297, 236761, 18741, 236764, 1451, 611, 3204, 51679, 573, 1027, 861, 83073, 653, 2157, 236772, 88933, 5254, 4596, 531, 1239, 5417, 236881, 159745, 7531, 529, 3956, 8443, 532, 5527, 5872, 563, 13832, 573, 1041, 6334, 3877, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 1076, 872, 496, 13611, 11734, 1458, 573, 13726, 5431, 18783, 236761, 5715, 659, 506, 5405, 532, 51679, 611, 15633, 236787, 108, 246978, 5213, 81606, 36374, 1018, 568, 5140, 580, 4077, 3956, 25386, 1473, 107, 236770, 236761, 870, 17224, 36161, 10950, 5457, 2574, 1411, 2769, 236761, 10671, 21125, 31524, 236761, 854, 236768, 107, 236778, 236761, 870, 174779, 22039, 40502, 5457, 2574, 1411, 2769, 236761, 199283, 21692, 65775, 236761, 854, 236768, 107, 236800, 236761, 870, 147716, 137388, 606, 26194, 5457, 2574, 1411, 2769, 236761, 158870, 4332, 32326, 582, 236761, 854, 236768, 108, 249460, 5213, 96579, 35868, 1804, 37827, 66515, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 158944, 1083, 3714, 32248, 1083, 623, 1496, 827, 623, 12103, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 2861, 1083, 236743, 236770, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 827, 623, 2861, 1083, 236743, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236819, 827, 623, 2861, 1083, 236743, 236770, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236825, 827, 623, 2861, 1083, 236743, 236832, 104960, 623, 28881, 1083, 3714, 29449, 1083, 623, 12959, 827, 623, 10694, 1083, 623, 501, 827, 623, 14801, 1083, 623, 3118, 827, 623, 2305, 236779, 42103, 1083, 623, 163914, 55600, 742, 31793, 6800, 236772, 216056, 12625, 83073, 2157, 236772, 88933, 5254, 236775, 5237, 623, 16023, 236779, 126240, 1083, 1847, 236764, 623, 4874, 236779, 16023, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236771, 236770, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 4133, 11734, 1458, 573, 13726, 5431, 18783, 236787, 108, 253891, 5213, 96579, 35868, 35265, 66515, 107, 236772, 5213, 43113, 6809, 66515, 236743, 236770, 540, 529, 1418, 2297, 568, 4874, 9690, 236787, 6384, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 107, 236772, 5213, 129489, 22053, 66515, 46030, 2297, 236789, 236751, 18783, 568, 236744, 236761, 236759, 1126, 6198, 236743, 236770, 236772, 236800, 236770, 580, 6384, 236743, 236770, 236768, 107, 236772, 5213, 3503, 30235, 53712, 66515, 107, 138, 236772, 73068, 55600, 742, 31793, 36253, 107, 138, 236772, 29515, 236772, 216056, 12625, 82483, 107, 138, 236772, 1799, 3956, 83073, 107, 138, 236772, 11117, 236772, 88933, 5254, 108, 249772, 5213, 8782, 26127, 52973, 1018, 568, 36817, 236743, 236770, 236772, 236778, 236825, 236764, 236743, 236778, 236771, 236778, 236800, 1473, 107, 236772, 6198, 236743, 236810, 236787, 236743, 236770, 236778, 10308, 568, 206906, 12496, 236768, 107, 236772, 6198, 236743, 236770, 236778, 236787, 236743, 236828, 10308, 568, 13769, 3671, 5254, 236768, 107, 236772, 6198, 236743, 236770, 236819, 236787, 236743, 236770, 236810, 10308, 568, 1951, 1698, 47821, 236768, 107, 236772, 6198, 236743, 236778, 236825, 236787, 236743, 236832, 10308, 568, 44606, 124188, 236768, 108, 236777, 236789, 560, 4464, 496, 13611, 1458, 600, 795, 11269, 4087, 236787, 107, 240732, 91125, 83073, 568, 236744, 236761, 236759, 1126, 10448, 83243, 8443, 236768, 138, 107, 240732, 16875, 18025, 568, 10236, 2157, 33772, 7728, 6672, 4615, 236768, 138, 107, 240732, 1799, 1698, 55470, 138, 107, 240732, 6498, 5254, 580, 2561, 3736, 138, 108, 3048, 236789, 859, 5908, 496, 13822, 12323, 4553, 568, 4256, 44571, 236786, 171956, 11709, 768, 711, 3472, 684, 236743, 236819, 8151, 28524, 580, 506, 236743, 236770, 540, 769, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 4140, 3530, 7021, 1133, 13434, 41341, 653, 5754, 25493, 236881, 107, 236778, 236761, 12213, 3195, 2436, 15067, 4596, 531, 13726, 5431, 6130, 236881, 107, 236800, 236761, 5833, 872, 496, 7732, 9690, 573, 17286, 3731, 528, 3788, 17253, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 4803, 4668, 10308, 1003, 13726, 5417, 528, 5431, 699, 506, 3068, 2297, 236761, 564, 1461, 531, 4196, 10448, 580, 3956, 82483, 531, 1894, 1041, 6334, 5671, 529, 10425, 496, 5431, 7616, 236761, 3199, 611, 1161, 506, 4668, 47186, 5904, 531, 9385, 672, 1938, 236881, 7323, 3213, 580, 14050, 1133, 40399, 5417, 236764, 2778, 236772, 11401, 3788, 8403, 236764, 532, 28597, 236772, 18865, 1698, 36253, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 2861, 1083, 236743, 236778, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 827, 623, 2861, 1083, 236743, 236770, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236832, 827, 623, 2861, 1083, 236743, 236778, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236771, 827, 623, 2861, 1083, 236743, 236800, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 827, 623, 2861, 1083, 236743, 236778, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 2861, 1083, 236743, 236800, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 2861, 1083, 236743, 236778, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 827, 623, 2861, 1083, 236743, 236770, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2861, 1083, 236743, 236778, 236770, 104960, 623, 6725, 1083, 236743, 236778, 236778, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 12323, 529, 4803, 4668, 10308, 1003, 13726, 5417, 528, 5431, 699, 506, 3068, 2297, 568, 36022, 236743, 236770, 236810, 753, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1473, 108, 249772, 5213, 9640, 39009, 7989, 66515, 236743, 236778, 236778, 236810, 138, 107, 249460, 5213, 14254, 23531, 27613, 66515, 107, 236772, 6198, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 236743, 236800, 236810, 10308, 568, 36344, 38679, 528, 12606, 236768, 107, 236772, 5857, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 236743, 236800, 236771, 10308, 107, 236772, 6198, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 236743, 236778, 236832, 10308, 108, 3503, 15067, 5773, 236787, 107, 236770, 236761, 5213, 5766, 37917, 26810, 66515, 34489, 10308, 24724, 36253, 528, 40399, 8103, 236764, 101922, 3863, 236764, 532, 8901, 74746, 107, 236778, 236761, 5213, 35741, 236772, 174890, 57939, 66515, 85406, 10317, 580, 30461, 10321, 1702, 532, 9691, 31793, 5417, 107, 236800, 236761, 5213, 7163, 143877, 66515, 22624, 10308, 6950, 861, 106326, 31793, 532, 6800, 236772, 216056, 12625, 24277, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 39525, 3530, 8698, 529, 4803, 124188, 236881, 107, 236778, 236761, 112676, 506, 3927, 531, 2931, 1159, 51996, 236881, 107, 236800, 236761, 7179, 573, 506, 1346, 22829, 3956, 7021, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1460, 3530, 8698, 529, 4803, 124188, 528, 106326, 31793, 532, 6800, 236772, 216056, 12625, 6950, 528, 506, 10308, 236761, 6542, 236764, 1451, 611, 8701, 506, 1903, 236743, 236800, 1346, 236772, 138386, 3956, 7021, 528, 1239, 4668, 8511, 236881, 1174, 1093, 1601, 786, 6054, 837, 25386, 531, 1500, 573, 13451, 1938, 580, 13726, 5431, 15067, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 974, 919, 3530, 1938, 1003, 1724, 124188, 532, 8701, 2307, 3956, 7021, 236761, 3792, 786, 1845, 496, 919, 10317, 3927, 580, 1239, 3530, 14050, 236787, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2289, 236779, 22894, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 827, 623, 2861, 1083, 236743, 236770, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236828, 827, 623, 2861, 1083, 236743, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236771, 827, 623, 2861, 1083, 236743, 236770, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236778, 827, 623, 2861, 1083, 236743, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 827, 623, 2861, 1083, 236743, 236778, 236800, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236828, 827, 623, 2861, 1083, 236743, 236770, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 2861, 1083, 236743, 236770, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 2861, 1083, 236743, 236778, 236832, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236771, 827, 623, 2861, 1083, 236743, 236800, 236812, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 827, 623, 2861, 1083, 236743, 236778, 236770, 104960, 623, 3991, 236779, 30182, 1083, 78493, 6265, 1083, 623, 17224, 36161, 10950, 827, 623, 24948, 1083, 236743, 236812, 236778, 1263, 3714, 6265, 1083, 623, 174779, 22039, 40502, 827, 623, 24948, 1083, 236743, 236800, 236828, 1263, 3714, 6265, 1083, 623, 147716, 137388, 606, 26194, 827, 623, 24948, 1083, 236743, 236800, 236770, 104960, 623, 6725, 236779, 24948, 1083, 236743, 236778, 236778, 236819, 236764, 623, 3278, 236779, 44384, 1083, 623, 236819, 236828, 236761, 236778, 236908, 529, 16590, 10308, 17480, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 9813, 12396, 580, 3530, 124188, 532, 2307, 3956, 7021, 236787, 108, 240785, 5213, 38782, 17429, 70731, 66515, 107, 236772, 5213, 206589, 55600, 742, 161960, 66515, 236743, 107, 138, 236772, 5857, 236743, 236778, 236810, 568, 236778, 236800, 10308, 1473, 34489, 7248, 580, 43668, 236772, 5140, 195751, 1940, 31793, 31760, 41954, 107, 138, 236772, 6198, 236743, 236810, 568, 236778, 236832, 10308, 1473, 1799, 56758, 236772, 42179, 31793, 5417, 607, 9806, 4304, 8047, 107, 138, 236772, 6198, 236743, 236770, 236771, 568, 236800, 236812, 10308, 1473, 18787, 46341, 528, 44166, 742, 47259, 31793, 607, 16595, 11775, 5082, 108, 236772, 5213, 71275, 236772, 24005, 504, 16983, 56276, 66515, 107, 138, 236772, 5857, 236743, 236778, 236771, 568, 236770, 236810, 10308, 1473, 85406, 529, 2671, 236778, 236772, 3889, 5861, 522, 12625, 10425, 2157, 236772, 96808, 607, 6672, 68328, 107, 138, 236772, 6198, 236743, 236770, 568, 236770, 236819, 10308, 1473, 1799, 3956, 83073, 573, 6800, 236772, 27851, 12625, 3211, 107, 138, 236772, 6198, 236743, 236770, 236778, 568, 236778, 236770, 10308, 1473, 27708, 580, 1265, 236772, 154844, 12780, 236772, 108025, 600, 81757, 2671, 236778, 1913, 66313, 108, 243594, 5213, 8534, 236743, 236800, 20467, 49174, 66515, 107, 236770, 236761, 5213, 17224, 36161, 10950, 1018, 568, 236812, 236778, 10308, 236768, 753, 74924, 12606, 529, 2561, 36253, 107, 236778, 236761, 5213, 174779, 22039, 40502, 1018, 568, 236800, 236828, 10308, 236768, 753, 27717, 3213, 580, 10231, 8688, 107, 236800, 236761, 5213, 147716, 137388, 606, 26194, 1018, 568, 236800, 236770, 10308, 236768, 753, 72875, 236772, 9003, 2958, 532, 2913, 12496, 108, 9208, 7021, 659, 1388, 236772, 178916, 528, 506, 3956, 532, 22541, 13037, 1494, 236772, 15276, 3004, 580, 13726, 5431, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 39525, 1982, 9851, 531, 1239, 25386, 236789, 17909, 236881, 107, 236778, 236761, 119281, 969, 3530, 1698, 47821, 6950, 528, 1239, 10308, 236881, 107, 236800, 236761, 8600, 496, 13822, 9690, 1458, 573, 861, 18783, 528, 1239, 4106, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 14756, 1800, 506, 1982, 9851, 531, 506, 1903, 236743, 236800, 25386, 532, 6514, 872, 496, 13822, 9690, 1458, 573, 861, 18783, 528, 106326, 31793, 532, 6800, 236772, 216056, 12625, 236761, 1174, 795, 1601, 786, 4196, 22541, 13819, 2180, 24473, 19460, 1546, 2297, 236761, 18741, 236764, 1451, 611, 3204, 51679, 573, 1027, 861, 83073, 653, 2157, 236772, 88933, 5254, 4596, 531, 1239, 5417, 236881, 159745, 7531, 529, 3956, 8443, 532, 5527, 5872, 563, 13832, 573, 1041, 6334, 3877, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 1076, 872, 496, 13611, 11734, 1458, 573, 13726, 5431, 18783, 236761, 5715, 659, 506, 5405, 532, 51679, 611, 15633, 236787, 108, 246978, 5213, 81606, 36374, 1018, 568, 5140, 580, 4077, 3956, 25386, 1473, 107, 236770, 236761, 870, 17224, 36161, 10950, 5457, 2574, 1411, 2769, 236761, 10671, 21125, 31524, 236761, 854, 236768, 107, 236778, 236761, 870, 174779, 22039, 40502, 5457, 2574, 1411, 2769, 236761, 199283, 21692, 65775, 236761, 854, 236768, 107, 236800, 236761, 870, 147716, 137388, 606, 26194, 5457, 2574, 1411, 2769, 236761, 158870, 4332, 32326, 582, 236761, 854, 236768, 108, 249460, 5213, 96579, 35868, 1804, 37827, 66515, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 158944, 1083, 3714, 32248, 1083, 623, 1496, 827, 623, 12103, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 2861, 1083, 236743, 236770, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 827, 623, 2861, 1083, 236743, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236819, 827, 623, 2861, 1083, 236743, 236770, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236825, 827, 623, 2861, 1083, 236743, 236832, 104960, 623, 28881, 1083, 3714, 29449, 1083, 623, 12959, 827, 623, 10694, 1083, 623, 501, 827, 623, 14801, 1083, 623, 3118, 827, 623, 2305, 236779, 42103, 1083, 623, 163914, 55600, 742, 31793, 6800, 236772, 216056, 12625, 83073, 2157, 236772, 88933, 5254, 236775, 5237, 623, 16023, 236779, 126240, 1083, 1847, 236764, 623, 4874, 236779, 16023, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236771, 236770, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 4133, 11734, 1458, 573, 13726, 5431, 18783, 236787, 108, 253891, 5213, 96579, 35868, 35265, 66515, 107, 236772, 5213, 43113, 6809, 66515, 236743, 236770, 540, 529, 1418, 2297, 568, 4874, 9690, 236787, 6384, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236768, 107, 236772, 5213, 129489, 22053, 66515, 46030, 2297, 236789, 236751, 18783, 568, 236744, 236761, 236759, 1126, 6198, 236743, 236770, 236772, 236800, 236770, 580, 6384, 236743, 236770, 236768, 107, 236772, 5213, 3503, 30235, 53712, 66515, 107, 138, 236772, 73068, 55600, 742, 31793, 36253, 107, 138, 236772, 29515, 236772, 216056, 12625, 82483, 107, 138, 236772, 1799, 3956, 83073, 107, 138, 236772, 11117, 236772, 88933, 5254, 108, 249772, 5213, 8782, 26127, 52973, 1018, 568, 36817, 236743, 236770, 236772, 236778, 236825, 236764, 236743, 236778, 236771, 236778, 236800, 1473, 107, 236772, 6198, 236743, 236810, 236787, 236743, 236770, 236778, 10308, 568, 206906, 12496, 236768, 107, 236772, 6198, 236743, 236770, 236778, 236787, 236743, 236828, 10308, 568, 13769, 3671, 5254, 236768, 107, 236772, 6198, 236743, 236770, 236819, 236787, 236743, 236770, 236810, 10308, 568, 1951, 1698, 47821, 236768, 107, 236772, 6198, 236743, 236778, 236825, 236787, 236743, 236832, 10308, 568, 44606, 124188, 236768, 108, 236777, 236789, 560, 4464, 496, 13611, 1458, 600, 795, 11269, 4087, 236787, 107, 240732, 91125, 83073, 568, 236744, 236761, 236759, 1126, 10448, 83243, 8443, 236768, 138, 107, 240732, 16875, 18025, 568, 10236, 2157, 33772, 7728, 6672, 4615, 236768, 138, 107, 240732, 1799, 1698, 55470, 138, 107, 240732, 6498, 5254, 580, 2561, 3736, 138, 108, 3048, 236789, 859, 5908, 496, 13822, 12323, 4553, 568, 4256, 44571, 236786, 171956, 11709, 768, 711, 3472, 684, 236743, 236819, 8151, 28524, 580, 506, 236743, 236770, 540, 769, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 4140, 3530, 7021, 1133, 13434, 41341, 653, 5754, 25493, 236881, 107, 236778, 236761, 12213, 3195, 2436, 15067, 4596, 531, 13726, 5431, 6130, 236881, 107, 236800, 236761, 5833, 872, 496, 7732, 9690, 573, 17286, 3731, 528, 3788, 17253, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2619, 496, 1237, 1610, 11764, 528, 85167, 600, 28619, 21096, 607, 1610, 236764, 1133, 496, 26070, 35560, 236761, 3199, 611, 1601, 786, 2731, 672, 684, 1171, 8159, 9273, 24682, 236764, 1299, 54909, 2263, 11421, 1015, 776, 12974, 1610, 236764, 16329, 7798, 1610, 41303, 236764, 532, 22169, 496, 1702, 2721, 580, 1041, 22195, 236881, 3792, 236789, 236751, 1502, 607, 8159, 24682, 528, 85167, 1298, 672, 1451, 981, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 164297, 1083, 78493, 1201, 1083, 623, 236791, 160290, 4556, 827, 623, 7125, 1083, 623, 170425, 85167, 827, 623, 2086, 236779, 124613, 1083, 236743, 236770, 236810, 236764, 623, 16518, 1083, 11058, 5265, 63883, 4106, 827, 623, 2153, 1610, 35490, 827, 623, 155176, 2802, 152254, 3714, 1201, 1083, 623, 44111, 10892, 4556, 827, 623, 7125, 1083, 623, 41210, 11518, 85167, 827, 623, 2086, 236779, 124613, 1083, 236743, 236828, 236778, 236764, 623, 16518, 1083, 11058, 1166, 18115, 694, 7972, 827, 623, 97655, 1610, 19365, 827, 623, 5106, 15408, 152254, 3714, 1201, 1083, 623, 236806, 71245, 11877, 827, 623, 7125, 1083, 623, 50613, 7171, 827, 623, 2086, 236779, 124613, 1083, 236743, 236800, 236771, 236764, 623, 16518, 1083, 11058, 7632, 7171, 8208, 827, 623, 179315, 1610, 30427, 827, 623, 108025, 37304, 573, 35490, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 11058, 97655, 1610, 85167, 11421, 827, 623, 97655, 1610, 85167, 54828, 827, 623, 97655, 1610, 85167, 52923, 827, 623, 179315, 35560, 85167, 827, 623, 2153, 1610, 35490, 85167, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 109355, 1083, 78493, 547, 1083, 623, 236770, 827, 623, 1201, 1083, 623, 179342, 827, 623, 7777, 1083, 623, 219699, 532, 2872, 236772, 27612, 8511, 19541, 580, 3246, 9871, 221476, 3714, 547, 1083, 623, 236778, 827, 623, 1201, 1083, 623, 200626, 827, 623, 7777, 1083, 623, 40267, 17745, 67966, 5402, 531, 10360, 532, 99658, 47658, 221476, 3714, 547, 1083, 623, 236800, 827, 623, 1201, 1083, 623, 4396, 827, 623, 7777, 1083, 623, 13238, 236772, 23325, 8511, 18482, 5663, 108014, 236764, 17262, 236764, 532, 19063, 221476, 3714, 547, 1083, 623, 236812, 827, 623, 1201, 1083, 623, 114967, 827, 623, 7777, 1083, 623, 1514, 34702, 1280, 34435, 607, 30520, 4820, 532, 28744, 54491, 221476, 3714, 547, 1083, 623, 236810, 827, 623, 1201, 1083, 623, 42221, 831, 827, 623, 7777, 1083, 623, 137650, 32452, 2101, 2765, 236764, 9994, 236764, 532, 13690, 13792, 1781, 104960, 623, 19859, 1083, 623, 501, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 85038, 847, 1083, 78493, 1201, 1083, 623, 236806, 71245, 152089, 14822, 79535, 827, 623, 18146, 1363, 1083, 623, 120386, 35490, 1699, 40399, 5417, 827, 623, 2217, 742, 236779, 17180, 1083, 11058, 818, 45240, 19871, 827, 623, 42554, 236772, 154902, 53438, 14255, 623, 11607, 1083, 623, 542, 957, 31157, 6139, 14865, 236940, 8358, 236761, 854, 23179, 3714, 1201, 1083, 623, 6855, 42213, 121558, 49652, 827, 623, 18146, 1363, 1083, 623, 19118, 1610, 607, 21931, 12974, 4820, 827, 623, 2217, 742, 236779, 17180, 1083, 11058, 34878, 2025, 31797, 827, 623, 75896, 184100, 554, 554, 14255, 623, 11607, 1083, 623, 866, 1457, 891, 527, 1897, 43592, 236940, 8358, 236761, 854, 25938, 1604, 623, 10618, 1083, 623, 96078, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31044, 2731, 2721, 580, 822, 2864, 236787, 108, 1018, 236770, 236761, 66530, 36962, 528, 85167, 53121, 107, 236772, 808, 236791, 160290, 4556, 236829, 568, 170425, 1473, 7607, 63883, 236764, 1237, 1610, 4083, 236764, 532, 12214, 2802, 7436, 573, 26613, 26070, 4146, 107, 236772, 808, 44111, 10892, 4556, 236829, 568, 41210, 11518, 1473, 121558, 7972, 607, 6330, 12974, 1610, 19365, 532, 2460, 15408, 107, 236772, 808, 236806, 71245, 11877, 236829, 568, 50613, 7171, 1473, 155102, 26070, 30427, 607, 12625, 37304, 573, 2455, 35490, 108, 1018, 236778, 236761, 58731, 44813, 58887, 53121, 107, 236772, 5213, 236806, 71245, 152089, 14822, 79535, 1018, 138, 107, 138, 23244, 5411, 528, 40399, 2561, 35490, 1133, 623, 818, 45240, 19871, 236775, 138, 107, 138, 11431, 236787, 512, 44818, 31157, 6139, 14865, 236940, 8358, 236761, 854, 108, 236772, 5213, 6855, 42213, 121558, 49652, 1018, 138, 107, 138, 130156, 21931, 9097, 1133, 623, 34878, 2025, 31797, 236775, 138, 107, 138, 11431, 236787, 770, 1457, 891, 527, 1897, 43592, 236940, 8358, 236761, 854, 108, 1018, 236800, 236761, 119635, 4585, 214241, 573, 103486, 53121, 107, 236772, 808, 4396, 63508, 61268, 606, 7296, 532, 5663, 16182, 107, 236772, 808, 114967, 63508, 6890, 76626, 12974, 4820, 532, 54491, 107, 236772, 808, 179342, 63508, 8600, 13690, 4100, 1343, 5776, 532, 5559, 108, 1018, 236812, 236761, 7803, 59336, 526, 53121, 107, 236775, 50613, 7171, 630, 18818, 1356, 236775, 753, 562, 10321, 236772, 36359, 26070, 35560, 26614, 236787, 107, 236772, 4899, 37917, 8459, 48181, 532, 6573, 50459, 568, 4396, 236786, 114967, 236768, 107, 236772, 59494, 2214, 19365, 35136, 531, 49537, 5776, 568, 179342, 236768, 107, 236772, 7768, 3408, 40409, 52679, 607, 12974, 7296, 108, 38786, 611, 1133, 786, 531, 59638, 1027, 529, 1239, 4106, 653, 11327, 3530, 8330, 6035, 573, 506, 11764, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2619, 496, 1237, 1610, 11764, 528, 85167, 600, 28619, 21096, 607, 1610, 236764, 1133, 496, 26070, 35560, 236761, 3199, 611, 1601, 786, 2731, 672, 684, 1171, 8159, 9273, 24682, 236764, 1299, 54909, 2263, 11421, 1015, 776, 12974, 1610, 236764, 16329, 7798, 1610, 41303, 236764, 532, 22169, 496, 1702, 2721, 580, 1041, 22195, 236881, 3792, 236789, 236751, 1502, 607, 8159, 24682, 528, 85167, 1298, 672, 1451, 981, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 164297, 1083, 78493, 1201, 1083, 623, 236791, 160290, 4556, 827, 623, 7125, 1083, 623, 170425, 85167, 827, 623, 2086, 236779, 124613, 1083, 236743, 236770, 236810, 236764, 623, 16518, 1083, 11058, 5265, 63883, 4106, 827, 623, 2153, 1610, 35490, 827, 623, 155176, 2802, 152254, 3714, 1201, 1083, 623, 44111, 10892, 4556, 827, 623, 7125, 1083, 623, 41210, 11518, 85167, 827, 623, 2086, 236779, 124613, 1083, 236743, 236828, 236778, 236764, 623, 16518, 1083, 11058, 1166, 18115, 694, 7972, 827, 623, 97655, 1610, 19365, 827, 623, 5106, 15408, 152254, 3714, 1201, 1083, 623, 236806, 71245, 11877, 827, 623, 7125, 1083, 623, 50613, 7171, 827, 623, 2086, 236779, 124613, 1083, 236743, 236800, 236771, 236764, 623, 16518, 1083, 11058, 7632, 7171, 8208, 827, 623, 179315, 1610, 30427, 827, 623, 108025, 37304, 573, 35490, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 11058, 97655, 1610, 85167, 11421, 827, 623, 97655, 1610, 85167, 54828, 827, 623, 97655, 1610, 85167, 52923, 827, 623, 179315, 35560, 85167, 827, 623, 2153, 1610, 35490, 85167, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 109355, 1083, 78493, 547, 1083, 623, 236770, 827, 623, 1201, 1083, 623, 179342, 827, 623, 7777, 1083, 623, 219699, 532, 2872, 236772, 27612, 8511, 19541, 580, 3246, 9871, 221476, 3714, 547, 1083, 623, 236778, 827, 623, 1201, 1083, 623, 200626, 827, 623, 7777, 1083, 623, 40267, 17745, 67966, 5402, 531, 10360, 532, 99658, 47658, 221476, 3714, 547, 1083, 623, 236800, 827, 623, 1201, 1083, 623, 4396, 827, 623, 7777, 1083, 623, 13238, 236772, 23325, 8511, 18482, 5663, 108014, 236764, 17262, 236764, 532, 19063, 221476, 3714, 547, 1083, 623, 236812, 827, 623, 1201, 1083, 623, 114967, 827, 623, 7777, 1083, 623, 1514, 34702, 1280, 34435, 607, 30520, 4820, 532, 28744, 54491, 221476, 3714, 547, 1083, 623, 236810, 827, 623, 1201, 1083, 623, 42221, 831, 827, 623, 7777, 1083, 623, 137650, 32452, 2101, 2765, 236764, 9994, 236764, 532, 13690, 13792, 1781, 104960, 623, 19859, 1083, 623, 501, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 85038, 847, 1083, 78493, 1201, 1083, 623, 236806, 71245, 152089, 14822, 79535, 827, 623, 18146, 1363, 1083, 623, 120386, 35490, 1699, 40399, 5417, 827, 623, 2217, 742, 236779, 17180, 1083, 11058, 818, 45240, 19871, 827, 623, 42554, 236772, 154902, 53438, 14255, 623, 11607, 1083, 623, 542, 957, 31157, 6139, 14865, 236940, 8358, 236761, 854, 23179, 3714, 1201, 1083, 623, 6855, 42213, 121558, 49652, 827, 623, 18146, 1363, 1083, 623, 19118, 1610, 607, 21931, 12974, 4820, 827, 623, 2217, 742, 236779, 17180, 1083, 11058, 34878, 2025, 31797, 827, 623, 75896, 184100, 554, 554, 14255, 623, 11607, 1083, 623, 866, 1457, 891, 527, 1897, 43592, 236940, 8358, 236761, 854, 25938, 1604, 623, 10618, 1083, 623, 96078, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31044, 2731, 2721, 580, 822, 2864, 236787, 108, 1018, 236770, 236761, 66530, 36962, 528, 85167, 53121, 107, 236772, 808, 236791, 160290, 4556, 236829, 568, 170425, 1473, 7607, 63883, 236764, 1237, 1610, 4083, 236764, 532, 12214, 2802, 7436, 573, 26613, 26070, 4146, 107, 236772, 808, 44111, 10892, 4556, 236829, 568, 41210, 11518, 1473, 121558, 7972, 607, 6330, 12974, 1610, 19365, 532, 2460, 15408, 107, 236772, 808, 236806, 71245, 11877, 236829, 568, 50613, 7171, 1473, 155102, 26070, 30427, 607, 12625, 37304, 573, 2455, 35490, 108, 1018, 236778, 236761, 58731, 44813, 58887, 53121, 107, 236772, 5213, 236806, 71245, 152089, 14822, 79535, 1018, 138, 107, 138, 23244, 5411, 528, 40399, 2561, 35490, 1133, 623, 818, 45240, 19871, 236775, 138, 107, 138, 11431, 236787, 512, 44818, 31157, 6139, 14865, 236940, 8358, 236761, 854, 108, 236772, 5213, 6855, 42213, 121558, 49652, 1018, 138, 107, 138, 130156, 21931, 9097, 1133, 623, 34878, 2025, 31797, 236775, 138, 107, 138, 11431, 236787, 770, 1457, 891, 527, 1897, 43592, 236940, 8358, 236761, 854, 108, 1018, 236800, 236761, 119635, 4585, 214241, 573, 103486, 53121, 107, 236772, 808, 4396, 63508, 61268, 606, 7296, 532, 5663, 16182, 107, 236772, 808, 114967, 63508, 6890, 76626, 12974, 4820, 532, 54491, 107, 236772, 808, 179342, 63508, 8600, 13690, 4100, 1343, 5776, 532, 5559, 108, 1018, 236812, 236761, 7803, 59336, 526, 53121, 107, 236775, 50613, 7171, 630, 18818, 1356, 236775, 753, 562, 10321, 236772, 36359, 26070, 35560, 26614, 236787, 107, 236772, 4899, 37917, 8459, 48181, 532, 6573, 50459, 568, 4396, 236786, 114967, 236768, 107, 236772, 59494, 2214, 19365, 35136, 531, 49537, 5776, 568, 179342, 236768, 107, 236772, 7768, 3408, 40409, 52679, 607, 12974, 7296, 108, 38786, 611, 1133, 786, 531, 59638, 1027, 529, 1239, 4106, 653, 11327, 3530, 8330, 6035, 573, 506, 11764, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 13901, 3435, 17461, 528, 29074, 2778, 4699, 684, 32187, 910, 2862, 3385, 15067, 3418, 1607, 990, 85338, 236761, 5315, 236764, 33205, 506, 236743, 236770, 236771, 236772, 3704, 42688, 11858, 6527, 573, 12067, 129259, 9904, 568, 227618, 236768, 531, 5608, 1440, 236772, 6061, 11646, 236761, 4298, 236764, 1161, 506, 236743, 236810, 236772, 3704, 13822, 1262, 573, 55665, 527, 18324, 13000, 568, 236847, 10124, 236761, 2457, 236768, 531, 8701, 5453, 236772, 6061, 3877, 9935, 236761, 13472, 236764, 18840, 506, 236743, 236825, 236772, 11283, 6376, 6527, 573, 213021, 100756, 22230, 568, 12051, 236791, 236768, 531, 3050, 4803, 43866, 236761, 1637, 1027, 5904, 7623, 614, 3165, 653, 36289, 1262, 236764, 6253, 684, 25605, 506, 20480, 2487, 990, 5528, 653, 9302, 84390, 5404, 1651, 16977, 506, 3671, 7675, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 64939, 1083, 623, 227618, 827, 623, 124977, 236779, 33255, 586, 236779, 62938, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236770, 236810, 236772, 236771, 236800, 236772, 236800, 236770, 827, 623, 5265, 1083, 236743, 236770, 236778, 236771, 236761, 236812, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236778, 236810, 236761, 236828, 236819, 236764, 623, 976, 1083, 236743, 236770, 236770, 236828, 236761, 236778, 236778, 236764, 623, 5977, 1083, 236743, 236770, 236778, 236800, 236761, 236832, 236810, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236812, 236810, 236771, 236771, 236771, 236764, 623, 167648, 1083, 236743, 236771, 236761, 236771, 236764, 623, 6966, 1083, 236743, 236771, 236761, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236770, 236810, 236772, 236771, 236825, 236772, 236800, 236771, 827, 623, 5265, 1083, 236743, 236770, 236778, 236812, 236761, 236771, 236770, 236764, 623, 11480, 1083, 236743, 236770, 236778, 236819, 236761, 236800, 236812, 236764, 623, 976, 1083, 236743, 236770, 236778, 236778, 236761, 236770, 236770, 236764, 623, 5977, 1083, 236743, 236770, 236778, 236832, 236761, 236812, 236800, 236764, 623, 20845, 1083, 236743, 236770, 236800, 236810, 236825, 236771, 236771, 236771, 236764, 623, 167648, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 6966, 1083, 236743, 236771, 236761, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236800, 236770, 827, 623, 5265, 1083, 236743, 236778, 236800, 236810, 236761, 236825, 236832, 236764, 623, 11480, 1083, 236743, 236778, 236812, 236771, 236761, 236770, 236778, 236764, 623, 976, 1083, 236743, 236778, 236800, 236800, 236761, 236828, 236819, 236764, 623, 5977, 1083, 236743, 236778, 236800, 236828, 236761, 236771, 236770, 236764, 623, 20845, 1083, 236743, 236819, 236828, 236832, 236771, 236771, 236771, 236764, 623, 167648, 1083, 236743, 236771, 236761, 236825, 236778, 236764, 623, 6966, 1083, 236743, 236771, 236761, 236771, 104960, 623, 7655, 1083, 3714, 27617, 1083, 623, 38556, 827, 623, 2289, 236779, 6516, 1083, 623, 236770, 236771, 1518, 827, 623, 27521, 1083, 623, 33255, 586, 827, 623, 1516, 236779, 11116, 236779, 2861, 1083, 236743, 236812, 236771, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 124977, 236779, 62938, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 5265, 1083, 236743, 236770, 236778, 236771, 236761, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236778, 236810, 236761, 236800, 236764, 623, 976, 1083, 236743, 236770, 236770, 236828, 236761, 236832, 236764, 623, 5977, 1083, 236743, 236770, 236778, 236778, 236761, 236812, 236764, 623, 20845, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 127023, 2068, 1083, 236743, 236771, 236764, 623, 129229, 1083, 236743, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236778, 236772, 236771, 236770, 827, 623, 5265, 1083, 236743, 236770, 236778, 236778, 236761, 236825, 236764, 623, 11480, 1083, 236743, 236770, 236778, 236812, 236761, 236828, 236764, 623, 976, 1083, 236743, 236770, 236778, 236771, 236761, 236770, 236764, 623, 5977, 1083, 236743, 236770, 236778, 236800, 236761, 236819, 236764, 623, 20845, 1083, 236743, 236770, 236812, 236778, 236771, 236771, 236771, 236771, 236764, 623, 127023, 2068, 1083, 236743, 236771, 236764, 623, 129229, 1083, 236743, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236800, 236772, 236771, 236770, 827, 623, 5265, 1083, 236743, 236770, 236778, 236812, 236761, 236771, 236764, 623, 11480, 1083, 236743, 236770, 236778, 236828, 236761, 236810, 236764, 623, 976, 1083, 236743, 236770, 236778, 236800, 236761, 236778, 236764, 623, 5977, 1083, 236743, 236770, 236778, 236832, 236761, 236770, 236764, 623, 20845, 1083, 236743, 236770, 236825, 236771, 236771, 236771, 236771, 236771, 236764, 623, 127023, 2068, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 129229, 1083, 236743, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 5265, 1083, 236743, 236778, 236770, 236771, 236761, 236800, 236764, 623, 11480, 1083, 236743, 236778, 236770, 236810, 236761, 236832, 236764, 623, 976, 1083, 236743, 236778, 236771, 236828, 236761, 236819, 236764, 623, 5977, 1083, 236743, 236778, 236770, 236812, 236761, 236778, 236764, 623, 20845, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236764, 623, 127023, 2068, 1083, 236743, 236771, 236764, 623, 129229, 1083, 236743, 236771, 104960, 623, 79442, 236779, 1708, 236779, 107556, 236779, 4636, 1083, 1847, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 12051, 236791, 827, 623, 124977, 236779, 62938, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 5265, 1083, 236743, 236800, 236828, 236761, 236812, 236810, 236764, 623, 11480, 1083, 236743, 236800, 236828, 236761, 236832, 236778, 236764, 623, 976, 1083, 236743, 236800, 236828, 236761, 236770, 236770, 236764, 623, 5977, 1083, 236743, 236800, 236828, 236761, 236800, 236812, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236764, 623, 167648, 1083, 236743, 236771, 236761, 236771, 236764, 623, 6966, 1083, 236743, 236771, 236761, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236778, 827, 623, 5265, 1083, 236743, 236800, 236828, 236761, 236800, 236819, 236764, 623, 11480, 1083, 236743, 236800, 236828, 236761, 236819, 236770, 236764, 623, 976, 1083, 236743, 236800, 236828, 236761, 236778, 236828, 236764, 623, 5977, 1083, 236743, 236800, 236828, 236761, 236832, 236819, 236764, 623, 20845, 1083, 236743, 236770, 236800, 236778, 236771, 236771, 236771, 236771, 236764, 623, 167648, 1083, 236743, 236771, 236761, 236771, 236764, 623, 6966, 1083, 236743, 236771, 236761, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236800, 236770, 827, 623, 5265, 1083, 236743, 236812, 236770, 236761, 236825, 236832, 236764, 623, 11480, 1083, 236743, 236812, 236770, 236761, 236819, 236810, 236764, 623, 976, 1083, 236743, 236812, 236770, 236761, 236810, 236778, 236764, 623, 5977, 1083, 236743, 236812, 236770, 236761, 236832, 236828, 236764, 623, 20845, 1083, 236743, 236819, 236828, 236771, 236771, 236771, 236771, 236764, 623, 167648, 1083, 236743, 236771, 236761, 236810, 236828, 236764, 623, 6966, 1083, 236743, 236771, 236761, 236771, 104960, 623, 2289, 236779, 6516, 1083, 623, 236825, 236772, 11283, 6376, 1262, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 53880, 3671, 529, 29074, 2778, 17461, 1699, 506, 52236, 11858, 1262, 236787, 108, 1018, 236770, 236761, 12067, 129259, 9904, 568, 227618, 236768, 753, 236743, 236770, 236771, 236772, 16431, 63919, 69489, 1018, 138, 107, 236772, 5213, 65965, 66515, 108135, 3877, 699, 609, 236770, 236778, 236800, 236761, 236832, 236810, 568, 236778, 236771, 236770, 236810, 1366, 236770, 236768, 531, 609, 236778, 236800, 236828, 236761, 236771, 236770, 568, 236778, 236771, 236778, 236812, 1366, 236812, 779, 57390, 528, 1550, 236761, 138, 107, 236772, 5213, 83715, 2068, 66515, 40179, 42688, 127325, 568, 236744, 236761, 236759, 1126, 609, 236771, 236761, 236812, 236810, 528, 236743, 236778, 236771, 236770, 236810, 1366, 236778, 236764, 609, 236771, 236761, 236825, 236778, 528, 236743, 236778, 236771, 236778, 236812, 1366, 236812, 769, 138, 107, 236772, 5213, 202477, 66515, 14533, 24055, 236772, 33255, 60956, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236771, 236778, 236812, 1366, 236812, 2644, 236787, 609, 236778, 236800, 236800, 236761, 236828, 236819, 236964, 236795, 236778, 236812, 236771, 236761, 236770, 236778, 769, 138, 107, 236772, 5213, 30792, 66515, 57999, 1090, 3188, 1440, 236772, 6061, 11646, 607, 16932, 3385, 29072, 532, 13451, 40732, 236761, 108, 1018, 236778, 236761, 55665, 527, 18324, 13000, 568, 236847, 10124, 236761, 2457, 236768, 753, 236743, 236810, 236772, 16431, 50292, 26608, 1018, 138, 107, 236772, 5213, 65965, 66515, 14584, 3553, 699, 609, 236770, 236778, 236778, 236761, 236812, 568, 236778, 236771, 236770, 236819, 4179, 236768, 531, 609, 236778, 236770, 236812, 236761, 236778, 568, 236778, 236771, 236778, 236812, 4179, 779, 900, 236832, 236810, 236908, 1024, 236743, 236810, 1518, 236761, 138, 107, 236772, 5213, 83380, 72627, 66515, 117820, 3836, 31097, 33744, 607, 951, 3262, 38565, 236761, 138, 107, 236772, 5213, 96708, 35593, 1230, 66515, 5774, 20843, 573, 7419, 568, 236744, 236761, 236759, 1126, 40732, 529, 609, 236771, 236761, 236812, 236810, 528, 236743, 236778, 236771, 236770, 236819, 2481, 769, 138, 107, 236772, 5213, 30792, 66515, 14537, 236772, 6061, 3877, 100146, 607, 29074, 2778, 5056, 236764, 9273, 573, 236743, 236800, 236772, 236810, 1051, 85338, 236761, 108, 1018, 236800, 236761, 213021, 100756, 568, 12051, 236791, 236768, 753, 236743, 236825, 236772, 23403, 18245, 6285, 26633, 1018, 138, 107, 236772, 5213, 11280, 34856, 66515, 20214, 236772, 10633, 1534, 609, 236800, 236828, 236761, 236770, 236770, 236964, 236795, 236812, 236770, 236761, 236819, 236810, 1024, 236743, 236825, 3794, 236764, 16548, 657, 609, 236812, 236770, 236761, 236832, 236828, 236761, 138, 107, 236772, 5213, 202477, 66515, 18245, 60956, 1208, 236743, 236778, 236908, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236771, 236778, 236812, 4905, 236743, 236770, 236964, 236778, 236787, 900, 236770, 236761, 236770, 236832, 37507, 138, 107, 236772, 5213, 206071, 12209, 66515, 609, 236771, 236761, 236810, 236828, 82702, 528, 5261, 236743, 236778, 236771, 236778, 236810, 236764, 11584, 7094, 236772, 41889, 11298, 236761, 138, 107, 236772, 5213, 30792, 66515, 14533, 2822, 236772, 6061, 43866, 607, 30627, 1894, 236793, 7436, 573, 50799, 7234, 3298, 236761, 108, 1018, 17667, 91330, 66515, 138, 107, 236772, 5213, 227618, 66515, 17354, 1440, 236772, 6061, 7046, 573, 11646, 532, 40732, 236761, 138, 107, 236772, 5213, 236847, 10124, 236761, 2457, 66515, 14537, 236772, 6061, 3877, 1441, 607, 10885, 531, 6573, 2778, 10534, 236761, 138, 107, 236772, 5213, 12051, 236791, 66515, 146722, 7234, 5506, 1308, 4803, 55031, 236793, 7020, 30627, 6422, 236761, 138, 108, 3243, 1262, 563, 20843, 573, 11961, 7419, 236764, 17096, 11459, 7003, 3671, 236761, 2301, 9825, 26109, 528, 1262, 51139, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 13901, 3435, 17461, 528, 29074, 2778, 4699, 684, 32187, 910, 2862, 3385, 15067, 3418, 1607, 990, 85338, 236761, 5315, 236764, 33205, 506, 236743, 236770, 236771, 236772, 3704, 42688, 11858, 6527, 573, 12067, 129259, 9904, 568, 227618, 236768, 531, 5608, 1440, 236772, 6061, 11646, 236761, 4298, 236764, 1161, 506, 236743, 236810, 236772, 3704, 13822, 1262, 573, 55665, 527, 18324, 13000, 568, 236847, 10124, 236761, 2457, 236768, 531, 8701, 5453, 236772, 6061, 3877, 9935, 236761, 13472, 236764, 18840, 506, 236743, 236825, 236772, 11283, 6376, 6527, 573, 213021, 100756, 22230, 568, 12051, 236791, 236768, 531, 3050, 4803, 43866, 236761, 1637, 1027, 5904, 7623, 614, 3165, 653, 36289, 1262, 236764, 6253, 684, 25605, 506, 20480, 2487, 990, 5528, 653, 9302, 84390, 5404, 1651, 16977, 506, 3671, 7675, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 3714, 64939, 1083, 623, 227618, 827, 623, 124977, 236779, 33255, 586, 236779, 62938, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236770, 236810, 236772, 236771, 236800, 236772, 236800, 236770, 827, 623, 5265, 1083, 236743, 236770, 236778, 236771, 236761, 236812, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236778, 236810, 236761, 236828, 236819, 236764, 623, 976, 1083, 236743, 236770, 236770, 236828, 236761, 236778, 236778, 236764, 623, 5977, 1083, 236743, 236770, 236778, 236800, 236761, 236832, 236810, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236812, 236810, 236771, 236771, 236771, 236764, 623, 167648, 1083, 236743, 236771, 236761, 236771, 236764, 623, 6966, 1083, 236743, 236771, 236761, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236770, 236810, 236772, 236771, 236825, 236772, 236800, 236771, 827, 623, 5265, 1083, 236743, 236770, 236778, 236812, 236761, 236771, 236770, 236764, 623, 11480, 1083, 236743, 236770, 236778, 236819, 236761, 236800, 236812, 236764, 623, 976, 1083, 236743, 236770, 236778, 236778, 236761, 236770, 236770, 236764, 623, 5977, 1083, 236743, 236770, 236778, 236832, 236761, 236812, 236800, 236764, 623, 20845, 1083, 236743, 236770, 236800, 236810, 236825, 236771, 236771, 236771, 236764, 623, 167648, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 6966, 1083, 236743, 236771, 236761, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236800, 236770, 827, 623, 5265, 1083, 236743, 236778, 236800, 236810, 236761, 236825, 236832, 236764, 623, 11480, 1083, 236743, 236778, 236812, 236771, 236761, 236770, 236778, 236764, 623, 976, 1083, 236743, 236778, 236800, 236800, 236761, 236828, 236819, 236764, 623, 5977, 1083, 236743, 236778, 236800, 236828, 236761, 236771, 236770, 236764, 623, 20845, 1083, 236743, 236819, 236828, 236832, 236771, 236771, 236771, 236764, 623, 167648, 1083, 236743, 236771, 236761, 236825, 236778, 236764, 623, 6966, 1083, 236743, 236771, 236761, 236771, 104960, 623, 7655, 1083, 3714, 27617, 1083, 623, 38556, 827, 623, 2289, 236779, 6516, 1083, 623, 236770, 236771, 1518, 827, 623, 27521, 1083, 623, 33255, 586, 827, 623, 1516, 236779, 11116, 236779, 2861, 1083, 236743, 236812, 236771, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 124977, 236779, 62938, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 5265, 1083, 236743, 236770, 236778, 236771, 236761, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236778, 236810, 236761, 236800, 236764, 623, 976, 1083, 236743, 236770, 236770, 236828, 236761, 236832, 236764, 623, 5977, 1083, 236743, 236770, 236778, 236778, 236761, 236812, 236764, 623, 20845, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 127023, 2068, 1083, 236743, 236771, 236764, 623, 129229, 1083, 236743, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236778, 236772, 236771, 236770, 827, 623, 5265, 1083, 236743, 236770, 236778, 236778, 236761, 236825, 236764, 623, 11480, 1083, 236743, 236770, 236778, 236812, 236761, 236828, 236764, 623, 976, 1083, 236743, 236770, 236778, 236771, 236761, 236770, 236764, 623, 5977, 1083, 236743, 236770, 236778, 236800, 236761, 236819, 236764, 623, 20845, 1083, 236743, 236770, 236812, 236778, 236771, 236771, 236771, 236771, 236764, 623, 127023, 2068, 1083, 236743, 236771, 236764, 623, 129229, 1083, 236743, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236800, 236772, 236771, 236770, 827, 623, 5265, 1083, 236743, 236770, 236778, 236812, 236761, 236771, 236764, 623, 11480, 1083, 236743, 236770, 236778, 236828, 236761, 236810, 236764, 623, 976, 1083, 236743, 236770, 236778, 236800, 236761, 236778, 236764, 623, 5977, 1083, 236743, 236770, 236778, 236832, 236761, 236770, 236764, 623, 20845, 1083, 236743, 236770, 236825, 236771, 236771, 236771, 236771, 236771, 236764, 623, 127023, 2068, 1083, 236743, 236771, 236761, 236812, 236810, 236764, 623, 129229, 1083, 236743, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 5265, 1083, 236743, 236778, 236770, 236771, 236761, 236800, 236764, 623, 11480, 1083, 236743, 236778, 236770, 236810, 236761, 236832, 236764, 623, 976, 1083, 236743, 236778, 236771, 236828, 236761, 236819, 236764, 623, 5977, 1083, 236743, 236778, 236770, 236812, 236761, 236778, 236764, 623, 20845, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236764, 623, 127023, 2068, 1083, 236743, 236771, 236764, 623, 129229, 1083, 236743, 236771, 104960, 623, 79442, 236779, 1708, 236779, 107556, 236779, 4636, 1083, 1847, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 12051, 236791, 827, 623, 124977, 236779, 62938, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 5265, 1083, 236743, 236800, 236828, 236761, 236812, 236810, 236764, 623, 11480, 1083, 236743, 236800, 236828, 236761, 236832, 236778, 236764, 623, 976, 1083, 236743, 236800, 236828, 236761, 236770, 236770, 236764, 623, 5977, 1083, 236743, 236800, 236828, 236761, 236800, 236812, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236764, 623, 167648, 1083, 236743, 236771, 236761, 236771, 236764, 623, 6966, 1083, 236743, 236771, 236761, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236778, 827, 623, 5265, 1083, 236743, 236800, 236828, 236761, 236800, 236819, 236764, 623, 11480, 1083, 236743, 236800, 236828, 236761, 236819, 236770, 236764, 623, 976, 1083, 236743, 236800, 236828, 236761, 236778, 236828, 236764, 623, 5977, 1083, 236743, 236800, 236828, 236761, 236832, 236819, 236764, 623, 20845, 1083, 236743, 236770, 236800, 236778, 236771, 236771, 236771, 236771, 236764, 623, 167648, 1083, 236743, 236771, 236761, 236771, 236764, 623, 6966, 1083, 236743, 236771, 236761, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236800, 236770, 827, 623, 5265, 1083, 236743, 236812, 236770, 236761, 236825, 236832, 236764, 623, 11480, 1083, 236743, 236812, 236770, 236761, 236819, 236810, 236764, 623, 976, 1083, 236743, 236812, 236770, 236761, 236810, 236778, 236764, 623, 5977, 1083, 236743, 236812, 236770, 236761, 236832, 236828, 236764, 623, 20845, 1083, 236743, 236819, 236828, 236771, 236771, 236771, 236771, 236764, 623, 167648, 1083, 236743, 236771, 236761, 236810, 236828, 236764, 623, 6966, 1083, 236743, 236771, 236761, 236771, 104960, 623, 2289, 236779, 6516, 1083, 623, 236825, 236772, 11283, 6376, 1262, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 53880, 3671, 529, 29074, 2778, 17461, 1699, 506, 52236, 11858, 1262, 236787, 108, 1018, 236770, 236761, 12067, 129259, 9904, 568, 227618, 236768, 753, 236743, 236770, 236771, 236772, 16431, 63919, 69489, 1018, 138, 107, 236772, 5213, 65965, 66515, 108135, 3877, 699, 609, 236770, 236778, 236800, 236761, 236832, 236810, 568, 236778, 236771, 236770, 236810, 1366, 236770, 236768, 531, 609, 236778, 236800, 236828, 236761, 236771, 236770, 568, 236778, 236771, 236778, 236812, 1366, 236812, 779, 57390, 528, 1550, 236761, 138, 107, 236772, 5213, 83715, 2068, 66515, 40179, 42688, 127325, 568, 236744, 236761, 236759, 1126, 609, 236771, 236761, 236812, 236810, 528, 236743, 236778, 236771, 236770, 236810, 1366, 236778, 236764, 609, 236771, 236761, 236825, 236778, 528, 236743, 236778, 236771, 236778, 236812, 1366, 236812, 769, 138, 107, 236772, 5213, 202477, 66515, 14533, 24055, 236772, 33255, 60956, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236771, 236778, 236812, 1366, 236812, 2644, 236787, 609, 236778, 236800, 236800, 236761, 236828, 236819, 236964, 236795, 236778, 236812, 236771, 236761, 236770, 236778, 769, 138, 107, 236772, 5213, 30792, 66515, 57999, 1090, 3188, 1440, 236772, 6061, 11646, 607, 16932, 3385, 29072, 532, 13451, 40732, 236761, 108, 1018, 236778, 236761, 55665, 527, 18324, 13000, 568, 236847, 10124, 236761, 2457, 236768, 753, 236743, 236810, 236772, 16431, 50292, 26608, 1018, 138, 107, 236772, 5213, 65965, 66515, 14584, 3553, 699, 609, 236770, 236778, 236778, 236761, 236812, 568, 236778, 236771, 236770, 236819, 4179, 236768, 531, 609, 236778, 236770, 236812, 236761, 236778, 568, 236778, 236771, 236778, 236812, 4179, 779, 900, 236832, 236810, 236908, 1024, 236743, 236810, 1518, 236761, 138, 107, 236772, 5213, 83380, 72627, 66515, 117820, 3836, 31097, 33744, 607, 951, 3262, 38565, 236761, 138, 107, 236772, 5213, 96708, 35593, 1230, 66515, 5774, 20843, 573, 7419, 568, 236744, 236761, 236759, 1126, 40732, 529, 609, 236771, 236761, 236812, 236810, 528, 236743, 236778, 236771, 236770, 236819, 2481, 769, 138, 107, 236772, 5213, 30792, 66515, 14537, 236772, 6061, 3877, 100146, 607, 29074, 2778, 5056, 236764, 9273, 573, 236743, 236800, 236772, 236810, 1051, 85338, 236761, 108, 1018, 236800, 236761, 213021, 100756, 568, 12051, 236791, 236768, 753, 236743, 236825, 236772, 23403, 18245, 6285, 26633, 1018, 138, 107, 236772, 5213, 11280, 34856, 66515, 20214, 236772, 10633, 1534, 609, 236800, 236828, 236761, 236770, 236770, 236964, 236795, 236812, 236770, 236761, 236819, 236810, 1024, 236743, 236825, 3794, 236764, 16548, 657, 609, 236812, 236770, 236761, 236832, 236828, 236761, 138, 107, 236772, 5213, 202477, 66515, 18245, 60956, 1208, 236743, 236778, 236908, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236771, 236778, 236812, 4905, 236743, 236770, 236964, 236778, 236787, 900, 236770, 236761, 236770, 236832, 37507, 138, 107, 236772, 5213, 206071, 12209, 66515, 609, 236771, 236761, 236810, 236828, 82702, 528, 5261, 236743, 236778, 236771, 236778, 236810, 236764, 11584, 7094, 236772, 41889, 11298, 236761, 138, 107, 236772, 5213, 30792, 66515, 14533, 2822, 236772, 6061, 43866, 607, 30627, 1894, 236793, 7436, 573, 50799, 7234, 3298, 236761, 108, 1018, 17667, 91330, 66515, 138, 107, 236772, 5213, 227618, 66515, 17354, 1440, 236772, 6061, 7046, 573, 11646, 532, 40732, 236761, 138, 107, 236772, 5213, 236847, 10124, 236761, 2457, 66515, 14537, 236772, 6061, 3877, 1441, 607, 10885, 531, 6573, 2778, 10534, 236761, 138, 107, 236772, 5213, 12051, 236791, 66515, 146722, 7234, 5506, 1308, 4803, 55031, 236793, 7020, 30627, 6422, 236761, 138, 108, 3243, 1262, 563, 20843, 573, 11961, 7419, 236764, 17096, 11459, 7003, 3671, 236761, 2301, 9825, 26109, 528, 1262, 51139, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 46921, 236764, 564, 236789, 236757, 189270, 496, 30918, 573, 506, 3399, 3988, 528, 506, 90184, 532, 1202, 531, 25196, 506, 44249, 236761, 5315, 236764, 5524, 786, 607, 506, 14993, 529, 506, 1719, 237028, 10825, 1246, 1586, 2613, 600, 236789, 859, 30463, 506, 6214, 532, 60953, 27432, 236761, 4298, 236764, 2426, 506, 27078, 529, 600, 14993, 531, 1386, 2889, 625, 236789, 236751, 3643, 100696, 236764, 711, 1070, 91819, 60081, 236761, 13472, 236764, 974, 506, 1806, 236772, 180981, 7606, 14415, 573, 90184, 236764, 13476, 236764, 573, 506, 2148, 1806, 2668, 834, 564, 740, 4351, 496, 1719, 1056, 625, 236789, 236751, 711, 2353, 535, 61540, 653, 43265, 6927, 236761, 17608, 625, 11119, 236764, 951, 127430, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 902, 506, 38362, 529, 7208, 236764, 564, 1765, 993, 691, 236764, 2351, 786, 236764, 614, 139202, 5312, 10498, 623, 6386, 1083, 623, 93480, 186255, 827, 623, 6265, 1083, 623, 818, 200574, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 1083, 623, 30558, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 44131, 236781, 236764, 13476, 827, 623, 195282, 1083, 236743, 236770, 236778, 236764, 623, 52511, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236778, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236800, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236825, 236812, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236812, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236810, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236825, 236800, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236800, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236828, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236825, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236828, 236771, 236764, 623, 19216, 1083, 623, 118538, 827, 623, 77269, 1083, 236743, 236810, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236825, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236828, 236778, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236810, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236832, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236828, 236770, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236810, 236812, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236825, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236819, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236810, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236832, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236825, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236812, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236810, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236800, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236812, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236825, 236832, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236812, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236800, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236832, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 25890, 573, 822, 90184, 30918, 2203, 236787, 108, 1018, 40943, 529, 506, 6156, 1018, 138, 107, 71510, 902, 506, 38362, 529, 7208, 236764, 564, 1765, 993, 691, 236764, 2351, 786, 236764, 614, 139202, 5312, 1781, 236829, 138, 107, 237028, 25694, 186255, 236764, 808, 818, 200574, 236829, 108, 1018, 203481, 7179, 1018, 138, 107, 240732, 5213, 48084, 1018, 568, 236819, 236810, 236908, 10805, 236768, 2192, 26079, 573, 32977, 784, 16606, 236761, 108, 1018, 26588, 74544, 568, 44131, 236781, 236764, 13476, 1109, 12067, 236743, 236800, 236825, 35174, 62902, 138, 107, 236772, 5213, 27403, 236743, 236778, 236771, 66515, 236743, 236832, 236778, 237366, 236811, 236964, 236828, 236778, 237366, 236811, 236764, 10723, 808, 7783, 586, 130915, 236829, 568, 185060, 657, 37170, 236764, 951, 6927, 769, 138, 107, 236772, 5213, 27403, 236743, 236778, 236770, 66515, 236743, 236832, 236800, 237366, 236811, 236964, 236832, 236832, 237366, 236811, 236764, 808, 7783, 586, 130915, 236829, 568, 208607, 236764, 951, 31632, 769, 138, 108, 1018, 211199, 1018, 138, 107, 39656, 506, 30918, 1719, 573, 5213, 27403, 236743, 236778, 236771, 594, 1018, 2192, 7436, 14567, 236764, 7804, 840, 711, 2353, 535, 61540, 236764, 532, 951, 6927, 236761, 3792, 236858, 236751, 1386, 625, 7499, 236888, 236743, 245838, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 46921, 236764, 564, 236789, 236757, 189270, 496, 30918, 573, 506, 3399, 3988, 528, 506, 90184, 532, 1202, 531, 25196, 506, 44249, 236761, 5315, 236764, 5524, 786, 607, 506, 14993, 529, 506, 1719, 237028, 10825, 1246, 1586, 2613, 600, 236789, 859, 30463, 506, 6214, 532, 60953, 27432, 236761, 4298, 236764, 2426, 506, 27078, 529, 600, 14993, 531, 1386, 2889, 625, 236789, 236751, 3643, 100696, 236764, 711, 1070, 91819, 60081, 236761, 13472, 236764, 974, 506, 1806, 236772, 180981, 7606, 14415, 573, 90184, 236764, 13476, 236764, 573, 506, 2148, 1806, 2668, 834, 564, 740, 4351, 496, 1719, 1056, 625, 236789, 236751, 711, 2353, 535, 61540, 653, 43265, 6927, 236761, 17608, 625, 11119, 236764, 951, 127430, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 902, 506, 38362, 529, 7208, 236764, 564, 1765, 993, 691, 236764, 2351, 786, 236764, 614, 139202, 5312, 10498, 623, 6386, 1083, 623, 93480, 186255, 827, 623, 6265, 1083, 623, 818, 200574, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 1083, 623, 30558, 827, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 44131, 236781, 236764, 13476, 827, 623, 195282, 1083, 236743, 236770, 236778, 236764, 623, 52511, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236778, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236800, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236825, 236812, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236812, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236810, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236825, 236800, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236800, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236828, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236825, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236828, 236771, 236764, 623, 19216, 1083, 623, 118538, 827, 623, 77269, 1083, 236743, 236810, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236825, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236828, 236778, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236810, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236832, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236828, 236770, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236810, 236812, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236825, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236819, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236810, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236832, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236825, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236812, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236810, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236800, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236812, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236825, 236832, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236812, 1263, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236800, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 1083, 236743, 236832, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236810, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 25890, 573, 822, 90184, 30918, 2203, 236787, 108, 1018, 40943, 529, 506, 6156, 1018, 138, 107, 71510, 902, 506, 38362, 529, 7208, 236764, 564, 1765, 993, 691, 236764, 2351, 786, 236764, 614, 139202, 5312, 1781, 236829, 138, 107, 237028, 25694, 186255, 236764, 808, 818, 200574, 236829, 108, 1018, 203481, 7179, 1018, 138, 107, 240732, 5213, 48084, 1018, 568, 236819, 236810, 236908, 10805, 236768, 2192, 26079, 573, 32977, 784, 16606, 236761, 108, 1018, 26588, 74544, 568, 44131, 236781, 236764, 13476, 1109, 12067, 236743, 236800, 236825, 35174, 62902, 138, 107, 236772, 5213, 27403, 236743, 236778, 236771, 66515, 236743, 236832, 236778, 237366, 236811, 236964, 236828, 236778, 237366, 236811, 236764, 10723, 808, 7783, 586, 130915, 236829, 568, 185060, 657, 37170, 236764, 951, 6927, 769, 138, 107, 236772, 5213, 27403, 236743, 236778, 236770, 66515, 236743, 236832, 236800, 237366, 236811, 236964, 236832, 236832, 237366, 236811, 236764, 808, 7783, 586, 130915, 236829, 568, 208607, 236764, 951, 31632, 769, 138, 108, 1018, 211199, 1018, 138, 107, 39656, 506, 30918, 1719, 573, 5213, 27403, 236743, 236778, 236771, 594, 1018, 2192, 7436, 14567, 236764, 7804, 840, 711, 2353, 535, 61540, 236764, 532, 951, 6927, 236761, 3792, 236858, 236751, 1386, 625, 7499, 236888, 236743, 245838, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 44426, 3393, 573, 614, 16038, 12441, 4598, 25417, 236761, 669, 10739, 1374, 1982, 531, 623, 2769, 236761, 87144, 2985, 7796, 223428, 236761, 854, 236775, 568, 700, 6789, 5177, 6831, 30221, 18482, 28689, 1653, 48163, 532, 15542, 575, 1472, 82142, 769, 9996, 625, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 18033, 236764, 5268, 108355, 44529, 607, 496, 6962, 154024, 1695, 531, 4241, 506, 708, 1124, 40249, 57005, 692, 236789, 859, 735, 580, 3034, 236761, 3792, 236789, 236751, 1460, 768, 12286, 740, 13952, 625, 1651, 22974, 531, 20080, 24914, 125790, 3209, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 236779, 2451, 1083, 623, 2574, 1411, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 236832, 236781, 236819, 236751, 236774, 236778, 236757, 827, 623, 3304, 236779, 63265, 1083, 623, 236778, 236771, 236771, 236781, 236778, 236771, 236771, 18033, 827, 623, 3001, 236779, 65983, 1083, 623, 8916, 580, 2173, 827, 623, 25699, 236779, 2861, 236779, 50257, 1083, 236743, 236771, 236764, 623, 14210, 1083, 623, 18397, 44426, 3393, 7835, 607, 3678, 45804, 236761, 13287, 7913, 532, 13376, 711, 8008, 684, 1873, 9299, 1781, 236783, 106, 107, 105, 4368, 107, 818, 44426, 3393, 815, 1010, 7835, 236764, 840, 564, 1202, 531, 4024, 1070, 2132, 4889, 236787, 108, 236770, 236761, 669, 1873, 9299, 4038, 236789, 236745, 1894, 2401, 7913, 653, 13376, 753, 822, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 1885, 108355, 236786, 589, 20636, 30251, 1702, 23003, 9225, 236789, 236745, 577, 12845, 236761, 107, 236778, 236761, 669, 7835, 44426, 563, 236743, 236778, 236771, 236771, 236781, 236778, 236771, 236771, 1885, 2764, 580, 2173, 568, 6665, 45804, 236768, 107, 236800, 236761, 669, 13952, 1527, 10967, 5889, 236789, 236745, 2487, 1343, 672, 9299, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 59336, 9302, 44426, 8299, 3019, 600, 1894, 61988, 236881, 107, 236778, 236761, 19536, 6253, 506, 1702, 531, 981, 2351, 1239, 16305, 236881, 107, 236800, 236761, 46071, 7107, 496, 2002, 2471, 607, 822, 10991, 7913, 600, 144668, 506, 6079, 44426, 3393, 236881, 236743, 108, 818, 1873, 3567, 563, 10828, 840, 40826, 506, 23947, 4820, 611, 15633, 236761, 106, 107, 105, 2364, 107, 13733, 236743, 236800, 12054, 4011, 753, 1531, 236789, 236751, 2619, 496, 2002, 2471, 607, 506, 154024, 1695, 532, 108355, 44426, 3393, 236761, 564, 236789, 859, 1202, 625, 5508, 684, 16922, 9137, 573, 506, 4598, 236761, 3199, 611, 39137, 506, 6079, 44426, 3393, 8990, 496, 6962, 154024, 1695, 607, 1070, 29110, 708, 1124, 40249, 28375, 9935, 2101, 506, 14453, 236881, 15704, 1138, 496, 2321, 5122, 67824, 531, 62611, 506, 6672, 10682, 236763, 11382, 507, 692, 236789, 859, 735, 580, 3034, 236761, 669, 20080, 24914, 44262, 1374, 577, 5662, 1056, 12286, 15074, 753, 8229, 124691, 506, 5177, 6831, 16913, 607, 506, 1171, 5410, 236789, 236751, 15295, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 9775, 1003, 672, 9578, 4313, 236888, 5978, 564, 740, 236789, 236745, 5467, 52266, 4876, 653, 1138, 1702, 4820, 568, 1580, 7087, 15017, 1702, 6436, 6998, 1041, 1873, 15858, 779, 564, 740, 8426, 8214, 611, 1343, 7107, 672, 22907, 20431, 236787, 108, 236770, 236761, 5315, 236764, 1531, 236789, 236751, 974, 506, 6079, 44426, 3393, 699, 506, 3205, 564, 7835, 6517, 236787, 138, 107, 236840, 18397, 44426, 8739, 5457, 2574, 1411, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 236832, 236781, 236819, 236751, 236774, 236778, 236757, 236768, 108, 236778, 236761, 5715, 236789, 236751, 1217, 531, 2619, 822, 25075, 3567, 236787, 107, 139, 236772, 6890, 15017, 1702, 5368, 568, 43369, 44791, 236764, 157634, 236764, 653, 189992, 236768, 107, 139, 236772, 8600, 496, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 1885, 12002, 607, 6962, 154024, 1695, 51228, 4070, 236825, 236799, 236812, 236828, 236768, 107, 139, 236772, 4140, 29110, 708, 1124, 40249, 28375, 9935, 618, 5334, 4820, 568, 6572, 6672, 1491, 44391, 1050, 15887, 59491, 236768, 107, 139, 236772, 15444, 506, 44426, 3393, 528, 506, 3988, 236764, 44582, 5227, 625, 531, 5268, 108355, 51228, 236778, 236788, 236778, 236800, 236825, 236799, 236768, 107, 139, 236772, 4140, 5122, 67824, 51228, 236796, 236812, 11558, 236800, 236832, 236768, 72139, 10682, 236763, 11382, 507, 163977, 2101, 506, 14453, 108, 2542, 53970, 607, 20080, 24914, 4252, 236764, 611, 2473, 1966, 236787, 107, 236770, 236761, 10352, 496, 5177, 5528, 600, 19365, 506, 44426, 3393, 107, 236778, 236761, 51062, 625, 531, 47286, 1932, 607, 506, 34824, 529, 623, 236780, 1102, 3025, 639, 17325, 236775, 568, 236746, 4913, 20080, 24914, 27224, 236768, 107, 236800, 236761, 10352, 496, 44426, 3393, 600, 21577, 496, 4252, 236772, 44435, 60400, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 59336, 2196, 3489, 1702, 6436, 607, 7930, 3835, 573, 672, 2203, 236881, 107, 236778, 236761, 39525, 2918, 236772, 2003, 236772, 9340, 11808, 573, 496, 3606, 35208, 4313, 236881, 107, 236800, 236761, 19536, 611, 1586, 496, 2263, 16406, 1015, 1451, 13707, 672, 6077, 573, 16922, 236789, 236751, 2460, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 17794, 3835, 236743, 236770, 532, 236743, 236778, 753, 8214, 786, 1343, 496, 157634, 35208, 4313, 1699, 910, 708, 1124, 40249, 3759, 23693, 236761, 564, 236789, 859, 1202, 2918, 236772, 2003, 236772, 9340, 11808, 600, 1041, 14940, 236772, 66111, 740, 13707, 528, 236743, 236819, 236771, 4310, 1651, 564, 6060, 506, 28689, 1653, 201409, 8205, 35560, 236761, 25735, 2934, 3635, 753, 740, 692, 14359, 496, 29110, 12328, 600, 3590, 506, 10682, 236763, 111808, 67824, 97467, 1056, 57418, 236881, 669, 12286, 1093, 2765, 600, 30520, 6374, 236761, 106, 107, 105, 4368, 107, 6481, 236789, 236751, 2619, 496, 30520, 708, 1124, 40249, 236772, 52728, 44426, 3393, 528, 157634, 236888, 5715, 236789, 236751, 496, 2918, 236772, 2003, 236772, 9340, 8214, 573, 822, 14940, 236772, 66111, 568, 2289, 10967, 236787, 236743, 236825, 236771, 236772, 236832, 236810, 4310, 1473, 108, 1018, 236770, 236761, 50514, 528, 157634, 568, 236770, 236771, 46205, 62902, 107, 236772, 3764, 531, 870, 8574, 2919, 236761, 854, 5457, 2574, 1411, 2769, 236761, 4881, 2919, 236761, 854, 31004, 532, 2619, 496, 861, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 1885, 2354, 107, 236772, 12808, 573, 623, 236806, 1124, 40249, 9935, 236775, 528, 506, 7930, 15707, 568, 1930, 18774, 236787, 623, 55558, 236775, 900, 623, 85226, 1373, 107, 236772, 23399, 496, 7930, 607, 1491, 44391, 1050, 15887, 59491, 653, 29785, 51338, 16085, 11803, 108, 1018, 236778, 236761, 8600, 506, 20692, 124929, 14857, 568, 236770, 236810, 46205, 62902, 107, 236772, 13466, 496, 6962, 154024, 2258, 51228, 4070, 236825, 236799, 236812, 236828, 236768, 573, 506, 1695, 107, 236772, 4140, 236743, 236778, 236772, 236800, 29110, 3759, 4820, 699, 506, 7930, 2101, 506, 14453, 107, 236772, 26959, 910, 23131, 531, 236743, 236770, 236810, 236772, 236778, 236771, 236908, 573, 496, 28375, 120752, 1763, 107, 236772, 4140, 496, 11202, 5122, 5334, 51228, 236796, 236812, 11558, 236800, 236832, 236768, 2101, 506, 12002, 568, 236778, 1885, 236768, 108, 1018, 236800, 236761, 4140, 506, 107651, 44426, 8739, 568, 236778, 236771, 46205, 62902, 107, 236772, 49101, 506, 6079, 44426, 3393, 699, 870, 1580, 3205, 5457, 2574, 1411, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 236832, 236781, 236819, 236751, 236774, 236778, 236757, 236768, 107, 236772, 6890, 157634, 236789, 236751, 623, 3484, 136066, 236775, 5904, 531, 2352, 506, 44426, 2258, 531, 5268, 108355, 51228, 236778, 236788, 236778, 236800, 236825, 236799, 236768, 107, 236772, 6022, 625, 580, 506, 12002, 607, 236743, 236770, 236810, 236908, 7152, 699, 784, 9174, 107, 236772, 4140, 496, 6495, 7266, 13024, 568, 236770, 236771, 1885, 236764, 2764, 657, 236743, 236770, 236810, 236908, 23131, 236768, 531, 1386, 625, 2198, 108, 1018, 236812, 236761, 17905, 236763, 111808, 4492, 876, 568, 236778, 236771, 46205, 62902, 107, 236772, 12808, 157634, 236789, 236751, 4820, 573, 623, 22278, 230055, 236775, 653, 623, 158333, 26497, 1610, 236775, 107, 236772, 15444, 1944, 10682, 236763, 111808, 236772, 52728, 163977, 3541, 506, 27840, 107, 236772, 6890, 5122, 51228, 236796, 236812, 11558, 236800, 236832, 236768, 532, 2173, 7913, 573, 1239, 67824, 107, 236772, 4140, 496, 623, 110640, 236775, 1763, 531, 1239, 4820, 1699, 506, 623, 72858, 236775, 6831, 108, 1018, 236810, 236761, 16187, 50897, 2391, 568, 236770, 236810, 46205, 62902, 107, 236772, 43165, 618, 52467, 607, 5783, 3325, 107, 236772, 5803, 44426, 18544, 607, 496, 26500, 107, 236772, 8600, 496, 21609, 16553, 3567, 528, 1624, 529, 2129, 4342, 108, 1018, 11040, 36222, 53121, 138, 107, 8409, 6672, 44426, 17253, 740, 236789, 236745, 97467, 236764, 611, 1451, 2619, 496, 30520, 16913, 1763, 684, 236787, 107, 236770, 236761, 42670, 496, 2822, 236743, 236770, 236771, 236772, 8556, 12328, 528, 157634, 1699, 506, 623, 25278, 236775, 4309, 568, 4060, 10682, 236763, 111808, 4820, 27797, 531, 97467, 236768, 107, 236778, 236761, 43165, 522, 618, 496, 2948, 7350, 600, 10772, 580, 496, 16382, 2148, 531, 506, 5663, 44426, 3393, 107, 236800, 236761, 10352, 4210, 28301, 568, 504, 2196, 5904, 639, 176854, 236768, 531, 2619, 496, 27472, 12328, 768, 37549, 47122, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 19148, 3530, 157634, 7930, 9851, 600, 981, 13275, 573, 672, 1702, 236881, 107, 236778, 236761, 39525, 496, 877, 236772, 61332, 2258, 33448, 2129, 573, 25725, 236881, 107, 236800, 236761, 19536, 2619, 496, 52679, 5177, 3034, 8948, 573, 506, 4252, 236772, 90904, 16913, 236881, 108, 11069, 14940, 236772, 66111, 740, 8426, 9009, 672, 528, 990, 1651, 611, 3213, 580, 506, 8205, 35560, 753, 506, 10682, 236763, 111808, 97467, 740, 577, 496, 5177, 28005, 4319, 1082, 912, 529, 506, 5663, 44426, 3393, 4850, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 44426, 3393, 573, 614, 16038, 12441, 4598, 25417, 236761, 669, 10739, 1374, 1982, 531, 623, 2769, 236761, 87144, 2985, 7796, 223428, 236761, 854, 236775, 568, 700, 6789, 5177, 6831, 30221, 18482, 28689, 1653, 48163, 532, 15542, 575, 1472, 82142, 769, 9996, 625, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 18033, 236764, 5268, 108355, 44529, 607, 496, 6962, 154024, 1695, 531, 4241, 506, 708, 1124, 40249, 57005, 692, 236789, 859, 735, 580, 3034, 236761, 3792, 236789, 236751, 1460, 768, 12286, 740, 13952, 625, 1651, 22974, 531, 20080, 24914, 125790, 3209, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 236779, 2451, 1083, 623, 2574, 1411, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 236832, 236781, 236819, 236751, 236774, 236778, 236757, 827, 623, 3304, 236779, 63265, 1083, 623, 236778, 236771, 236771, 236781, 236778, 236771, 236771, 18033, 827, 623, 3001, 236779, 65983, 1083, 623, 8916, 580, 2173, 827, 623, 25699, 236779, 2861, 236779, 50257, 1083, 236743, 236771, 236764, 623, 14210, 1083, 623, 18397, 44426, 3393, 7835, 607, 3678, 45804, 236761, 13287, 7913, 532, 13376, 711, 8008, 684, 1873, 9299, 1781, 236783, 106, 107, 105, 4368, 107, 818, 44426, 3393, 815, 1010, 7835, 236764, 840, 564, 1202, 531, 4024, 1070, 2132, 4889, 236787, 108, 236770, 236761, 669, 1873, 9299, 4038, 236789, 236745, 1894, 2401, 7913, 653, 13376, 753, 822, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 1885, 108355, 236786, 589, 20636, 30251, 1702, 23003, 9225, 236789, 236745, 577, 12845, 236761, 107, 236778, 236761, 669, 7835, 44426, 563, 236743, 236778, 236771, 236771, 236781, 236778, 236771, 236771, 1885, 2764, 580, 2173, 568, 6665, 45804, 236768, 107, 236800, 236761, 669, 13952, 1527, 10967, 5889, 236789, 236745, 2487, 1343, 672, 9299, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 59336, 9302, 44426, 8299, 3019, 600, 1894, 61988, 236881, 107, 236778, 236761, 19536, 6253, 506, 1702, 531, 981, 2351, 1239, 16305, 236881, 107, 236800, 236761, 46071, 7107, 496, 2002, 2471, 607, 822, 10991, 7913, 600, 144668, 506, 6079, 44426, 3393, 236881, 236743, 108, 818, 1873, 3567, 563, 10828, 840, 40826, 506, 23947, 4820, 611, 15633, 236761, 106, 107, 105, 2364, 107, 13733, 236743, 236800, 12054, 4011, 753, 1531, 236789, 236751, 2619, 496, 2002, 2471, 607, 506, 154024, 1695, 532, 108355, 44426, 3393, 236761, 564, 236789, 859, 1202, 625, 5508, 684, 16922, 9137, 573, 506, 4598, 236761, 3199, 611, 39137, 506, 6079, 44426, 3393, 8990, 496, 6962, 154024, 1695, 607, 1070, 29110, 708, 1124, 40249, 28375, 9935, 2101, 506, 14453, 236881, 15704, 1138, 496, 2321, 5122, 67824, 531, 62611, 506, 6672, 10682, 236763, 11382, 507, 692, 236789, 859, 735, 580, 3034, 236761, 669, 20080, 24914, 44262, 1374, 577, 5662, 1056, 12286, 15074, 753, 8229, 124691, 506, 5177, 6831, 16913, 607, 506, 1171, 5410, 236789, 236751, 15295, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 9775, 1003, 672, 9578, 4313, 236888, 5978, 564, 740, 236789, 236745, 5467, 52266, 4876, 653, 1138, 1702, 4820, 568, 1580, 7087, 15017, 1702, 6436, 6998, 1041, 1873, 15858, 779, 564, 740, 8426, 8214, 611, 1343, 7107, 672, 22907, 20431, 236787, 108, 236770, 236761, 5315, 236764, 1531, 236789, 236751, 974, 506, 6079, 44426, 3393, 699, 506, 3205, 564, 7835, 6517, 236787, 138, 107, 236840, 18397, 44426, 8739, 5457, 2574, 1411, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 236832, 236781, 236819, 236751, 236774, 236778, 236757, 236768, 108, 236778, 236761, 5715, 236789, 236751, 1217, 531, 2619, 822, 25075, 3567, 236787, 107, 139, 236772, 6890, 15017, 1702, 5368, 568, 43369, 44791, 236764, 157634, 236764, 653, 189992, 236768, 107, 139, 236772, 8600, 496, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 1885, 12002, 607, 6962, 154024, 1695, 51228, 4070, 236825, 236799, 236812, 236828, 236768, 107, 139, 236772, 4140, 29110, 708, 1124, 40249, 28375, 9935, 618, 5334, 4820, 568, 6572, 6672, 1491, 44391, 1050, 15887, 59491, 236768, 107, 139, 236772, 15444, 506, 44426, 3393, 528, 506, 3988, 236764, 44582, 5227, 625, 531, 5268, 108355, 51228, 236778, 236788, 236778, 236800, 236825, 236799, 236768, 107, 139, 236772, 4140, 5122, 67824, 51228, 236796, 236812, 11558, 236800, 236832, 236768, 72139, 10682, 236763, 11382, 507, 163977, 2101, 506, 14453, 108, 2542, 53970, 607, 20080, 24914, 4252, 236764, 611, 2473, 1966, 236787, 107, 236770, 236761, 10352, 496, 5177, 5528, 600, 19365, 506, 44426, 3393, 107, 236778, 236761, 51062, 625, 531, 47286, 1932, 607, 506, 34824, 529, 623, 236780, 1102, 3025, 639, 17325, 236775, 568, 236746, 4913, 20080, 24914, 27224, 236768, 107, 236800, 236761, 10352, 496, 44426, 3393, 600, 21577, 496, 4252, 236772, 44435, 60400, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 59336, 2196, 3489, 1702, 6436, 607, 7930, 3835, 573, 672, 2203, 236881, 107, 236778, 236761, 39525, 2918, 236772, 2003, 236772, 9340, 11808, 573, 496, 3606, 35208, 4313, 236881, 107, 236800, 236761, 19536, 611, 1586, 496, 2263, 16406, 1015, 1451, 13707, 672, 6077, 573, 16922, 236789, 236751, 2460, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 17794, 3835, 236743, 236770, 532, 236743, 236778, 753, 8214, 786, 1343, 496, 157634, 35208, 4313, 1699, 910, 708, 1124, 40249, 3759, 23693, 236761, 564, 236789, 859, 1202, 2918, 236772, 2003, 236772, 9340, 11808, 600, 1041, 14940, 236772, 66111, 740, 13707, 528, 236743, 236819, 236771, 4310, 1651, 564, 6060, 506, 28689, 1653, 201409, 8205, 35560, 236761, 25735, 2934, 3635, 753, 740, 692, 14359, 496, 29110, 12328, 600, 3590, 506, 10682, 236763, 111808, 67824, 97467, 1056, 57418, 236881, 669, 12286, 1093, 2765, 600, 30520, 6374, 236761, 106, 107, 105, 4368, 107, 6481, 236789, 236751, 2619, 496, 30520, 708, 1124, 40249, 236772, 52728, 44426, 3393, 528, 157634, 236888, 5715, 236789, 236751, 496, 2918, 236772, 2003, 236772, 9340, 8214, 573, 822, 14940, 236772, 66111, 568, 2289, 10967, 236787, 236743, 236825, 236771, 236772, 236832, 236810, 4310, 1473, 108, 1018, 236770, 236761, 50514, 528, 157634, 568, 236770, 236771, 46205, 62902, 107, 236772, 3764, 531, 870, 8574, 2919, 236761, 854, 5457, 2574, 1411, 2769, 236761, 4881, 2919, 236761, 854, 31004, 532, 2619, 496, 861, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 1885, 2354, 107, 236772, 12808, 573, 623, 236806, 1124, 40249, 9935, 236775, 528, 506, 7930, 15707, 568, 1930, 18774, 236787, 623, 55558, 236775, 900, 623, 85226, 1373, 107, 236772, 23399, 496, 7930, 607, 1491, 44391, 1050, 15887, 59491, 653, 29785, 51338, 16085, 11803, 108, 1018, 236778, 236761, 8600, 506, 20692, 124929, 14857, 568, 236770, 236810, 46205, 62902, 107, 236772, 13466, 496, 6962, 154024, 2258, 51228, 4070, 236825, 236799, 236812, 236828, 236768, 573, 506, 1695, 107, 236772, 4140, 236743, 236778, 236772, 236800, 29110, 3759, 4820, 699, 506, 7930, 2101, 506, 14453, 107, 236772, 26959, 910, 23131, 531, 236743, 236770, 236810, 236772, 236778, 236771, 236908, 573, 496, 28375, 120752, 1763, 107, 236772, 4140, 496, 11202, 5122, 5334, 51228, 236796, 236812, 11558, 236800, 236832, 236768, 2101, 506, 12002, 568, 236778, 1885, 236768, 108, 1018, 236800, 236761, 4140, 506, 107651, 44426, 8739, 568, 236778, 236771, 46205, 62902, 107, 236772, 49101, 506, 6079, 44426, 3393, 699, 870, 1580, 3205, 5457, 2574, 1411, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 236832, 236781, 236819, 236751, 236774, 236778, 236757, 236768, 107, 236772, 6890, 157634, 236789, 236751, 623, 3484, 136066, 236775, 5904, 531, 2352, 506, 44426, 2258, 531, 5268, 108355, 51228, 236778, 236788, 236778, 236800, 236825, 236799, 236768, 107, 236772, 6022, 625, 580, 506, 12002, 607, 236743, 236770, 236810, 236908, 7152, 699, 784, 9174, 107, 236772, 4140, 496, 6495, 7266, 13024, 568, 236770, 236771, 1885, 236764, 2764, 657, 236743, 236770, 236810, 236908, 23131, 236768, 531, 1386, 625, 2198, 108, 1018, 236812, 236761, 17905, 236763, 111808, 4492, 876, 568, 236778, 236771, 46205, 62902, 107, 236772, 12808, 157634, 236789, 236751, 4820, 573, 623, 22278, 230055, 236775, 653, 623, 158333, 26497, 1610, 236775, 107, 236772, 15444, 1944, 10682, 236763, 111808, 236772, 52728, 163977, 3541, 506, 27840, 107, 236772, 6890, 5122, 51228, 236796, 236812, 11558, 236800, 236832, 236768, 532, 2173, 7913, 573, 1239, 67824, 107, 236772, 4140, 496, 623, 110640, 236775, 1763, 531, 1239, 4820, 1699, 506, 623, 72858, 236775, 6831, 108, 1018, 236810, 236761, 16187, 50897, 2391, 568, 236770, 236810, 46205, 62902, 107, 236772, 43165, 618, 52467, 607, 5783, 3325, 107, 236772, 5803, 44426, 18544, 607, 496, 26500, 107, 236772, 8600, 496, 21609, 16553, 3567, 528, 1624, 529, 2129, 4342, 108, 1018, 11040, 36222, 53121, 138, 107, 8409, 6672, 44426, 17253, 740, 236789, 236745, 97467, 236764, 611, 1451, 2619, 496, 30520, 16913, 1763, 684, 236787, 107, 236770, 236761, 42670, 496, 2822, 236743, 236770, 236771, 236772, 8556, 12328, 528, 157634, 1699, 506, 623, 25278, 236775, 4309, 568, 4060, 10682, 236763, 111808, 4820, 27797, 531, 97467, 236768, 107, 236778, 236761, 43165, 522, 618, 496, 2948, 7350, 600, 10772, 580, 496, 16382, 2148, 531, 506, 5663, 44426, 3393, 107, 236800, 236761, 10352, 4210, 28301, 568, 504, 2196, 5904, 639, 176854, 236768, 531, 2619, 496, 27472, 12328, 768, 37549, 47122, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 19148, 3530, 157634, 7930, 9851, 600, 981, 13275, 573, 672, 1702, 236881, 107, 236778, 236761, 39525, 496, 877, 236772, 61332, 2258, 33448, 2129, 573, 25725, 236881, 107, 236800, 236761, 19536, 2619, 496, 52679, 5177, 3034, 8948, 573, 506, 4252, 236772, 90904, 16913, 236881, 108, 11069, 14940, 236772, 66111, 740, 8426, 9009, 672, 528, 990, 1651, 611, 3213, 580, 506, 8205, 35560, 753, 506, 10682, 236763, 111808, 97467, 740, 577, 496, 5177, 28005, 4319, 1082, 912, 529, 506, 5663, 44426, 3393, 4850, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236858, 560, 1010, 3182, 657, 1070, 3195, 132409, 573, 5431, 83021, 13616, 532, 3956, 10308, 1003, 10319, 15067, 236761, 28344, 611, 18840, 1091, 1699, 506, 5498, 236770, 5904, 236881, 564, 1461, 531, 8430, 30154, 532, 20880, 531, 1460, 1144, 6130, 659, 1346, 528, 5056, 532, 1027, 3364, 22888, 528, 6595, 10319, 10154, 236761, 1174, 1093, 1601, 786, 11006, 573, 6049, 1131, 496, 83021, 3853, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 18840, 506, 3004, 611, 6950, 236761, 2282, 7162, 607, 506, 5498, 236770, 5904, 236764, 564, 236789, 859, 1202, 506, 5396, 1816, 3004, 699, 506, 3195, 132409, 532, 3956, 10308, 611, 236789, 500, 35329, 236761, 7323, 2847, 506, 1816, 611, 236789, 236753, 1133, 17480, 568, 1048, 531, 236743, 236810, 236771, 236771, 236771, 7579, 779, 532, 564, 236789, 859, 8430, 1800, 30154, 532, 20880, 531, 8701, 506, 2307, 6130, 532, 10319, 22888, 236761, 106, 107, 105, 2364, 107, 8291, 236858, 236751, 506, 1816, 699, 496, 3195, 25035, 573, 496, 5431, 83021, 3853, 236787, 808, 236789, 207228, 496, 8052, 236772, 29963, 22039, 159643, 531, 2080, 48401, 580, 6635, 5699, 236761, 20360, 735, 236743, 236800, 236862, 1518, 529, 71152, 2707, 236764, 9691, 4654, 529, 136608, 8443, 236764, 532, 5596, 531, 1676, 142046, 236761, 218990, 528, 12160, 9314, 532, 990, 3997, 3149, 236761, 57823, 607, 43118, 653, 12214, 83073, 12373, 7085, 236829, 1452, 1590, 236858, 236751, 496, 54369, 699, 614, 4676, 1003, 10319, 15067, 236787, 808, 236789, 32899, 5431, 10319, 58811, 13690, 14020, 532, 14896, 44970, 236761, 7947, 2438, 1015, 22064, 4916, 236772, 498, 14739, 607, 5177, 6436, 1133, 1255, 6102, 5368, 1460, 236743, 236778, 236771, 236908, 3715, 2434, 9286, 236761, 44234, 13628, 6607, 992, 65879, 607, 7005, 3432, 26690, 7085, 236829, 121353, 1239, 607, 5498, 236770, 531, 8430, 30154, 532, 20880, 237028, 1184, 236858, 236751, 1460, 1144, 6130, 532, 22888, 1975, 855, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 11058, 16988, 236772, 29963, 827, 623, 50953, 159643, 827, 623, 12666, 176680, 2707, 827, 623, 3354, 14983, 8443, 827, 623, 1399, 142046, 827, 623, 128828, 9314, 827, 623, 2289, 3997, 827, 623, 40495, 3230, 83073, 827, 623, 155176, 83073, 827, 623, 115045, 14020, 827, 623, 17470, 44970, 827, 623, 1489, 6102, 5368, 827, 623, 658, 13628, 6607, 827, 623, 14992, 9286, 827, 623, 8777, 26690, 14255, 623, 47792, 1083, 3714, 102925, 1083, 11058, 3354, 14983, 827, 623, 1489, 6102, 5368, 14255, 623, 18289, 8112, 1083, 11058, 40495, 3230, 827, 623, 155176, 14255, 623, 80284, 1083, 11058, 236778, 236771, 236908, 3715, 2434, 9286, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 47792, 1083, 78493, 1005, 1083, 623, 50953, 159643, 827, 623, 2084, 1083, 623, 16882, 29722, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236819, 236810, 1263, 3714, 1005, 1083, 623, 12666, 176680, 2707, 827, 623, 2084, 1083, 623, 92495, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236819, 236778, 1263, 3714, 1005, 1083, 623, 3354, 14983, 8443, 827, 623, 2084, 1083, 623, 165411, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236828, 236828, 1263, 3714, 1005, 1083, 623, 1399, 142046, 827, 623, 2084, 1083, 623, 92495, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236828, 236810, 1263, 3714, 1005, 1083, 623, 128828, 9314, 827, 623, 2084, 1083, 623, 92495, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236828, 236800, 1263, 3714, 1005, 1083, 623, 2289, 3997, 827, 623, 2084, 1083, 623, 92495, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236828, 236770, 1263, 3714, 1005, 1083, 623, 40495, 3230, 83073, 827, 623, 2084, 1083, 623, 173740, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236832, 236828, 1263, 3714, 1005, 1083, 623, 155176, 83073, 827, 623, 2084, 1083, 623, 173740, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236832, 236825, 1263, 3714, 1005, 1083, 623, 115045, 14020, 827, 623, 2084, 1083, 623, 92495, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236832, 236800, 1263, 3714, 1005, 1083, 623, 17470, 44970, 827, 623, 2084, 1083, 623, 92495, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236832, 236770, 1263, 3714, 1005, 1083, 623, 1489, 6102, 5368, 827, 623, 2084, 1083, 623, 49276, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236825, 236828, 1263, 3714, 1005, 1083, 623, 236778, 236771, 236908, 3715, 2434, 9286, 827, 623, 2084, 1083, 623, 179985, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236825, 236810, 1263, 3714, 1005, 1083, 623, 658, 13628, 6607, 827, 623, 2084, 1083, 623, 15162, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236825, 236778, 104960, 623, 28263, 236779, 21052, 1083, 3714, 19859, 1083, 623, 501, 827, 623, 28263, 236779, 2084, 1083, 623, 47792, 827, 623, 23046, 236779, 2289, 236779, 1356, 1083, 236743, 236770, 236812, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 822, 3847, 23505, 236787, 108, 1018, 8534, 39432, 833, 33197, 568, 43595, 1473, 1018, 138, 107, 236772, 213359, 2707, 568, 236800, 236862, 1518, 236768, 138, 107, 236772, 136608, 8443, 4654, 138, 107, 236772, 50573, 6013, 73666, 138, 107, 236772, 71928, 9314, 833, 990, 3997, 138, 107, 236772, 22202, 83073, 568, 40495, 3230, 236764, 12214, 236768, 138, 107, 236772, 105701, 14020, 138, 107, 236772, 18671, 44970, 568, 36661, 6436, 1133, 1255, 6102, 236768, 138, 108, 1018, 3503, 36485, 137944, 568, 54498, 1473, 1018, 138, 107, 236770, 236761, 5213, 32899, 36485, 39432, 1018, 138, 107, 139, 236772, 105701, 14020, 568, 500, 113458, 236787, 236743, 236771, 236761, 236832, 236800, 236768, 138, 107, 139, 236772, 18671, 44970, 568, 236771, 236761, 236832, 236770, 236768, 138, 107, 139, 236772, 44234, 13628, 6607, 568, 236771, 236761, 236825, 236778, 236768, 138, 108, 236778, 236761, 5213, 191132, 52922, 1018, 138, 107, 139, 236772, 1255, 6102, 5368, 568, 236771, 236761, 236825, 236828, 236768, 12809, 531, 5213, 236778, 236771, 236908, 3715, 2434, 9286, 1018, 138, 107, 139, 236772, 16661, 3213, 568, 3354, 14983, 8443, 657, 236743, 236771, 236761, 236828, 236828, 36787, 236768, 138, 108, 236800, 236761, 5213, 58972, 145655, 1018, 138, 107, 139, 236772, 44300, 236772, 498, 83073, 568, 40495, 3230, 236786, 155176, 657, 236743, 236771, 236761, 236832, 236825, 236772, 236771, 236761, 236832, 236828, 236768, 138, 107, 139, 236772, 50573, 16823, 568, 236771, 236761, 236828, 236810, 236768, 138, 108, 1018, 176517, 573, 44987, 8236, 53121, 138, 107, 2021, 2939, 5869, 573, 496, 83021, 3853, 236764, 56856, 236787, 138, 107, 236770, 236761, 667, 12179, 10781, 71152, 2707, 138, 107, 236778, 236761, 198737, 136608, 236743, 236800, 236771, 236772, 13807, 22902, 138, 107, 236800, 236761, 44712, 8330, 28150, 568, 40495, 3230, 236786, 155176, 236768, 138, 107, 236812, 236761, 65273, 13690, 14020, 532, 5177, 5904, 73666, 138, 107, 236810, 236761, 21685, 522, 97779, 2707, 138, 108, 818, 1262, 3831, 600, 6595, 4532, 2521, 2438, 17794, 6672, 5431, 14739, 607, 1800, 10319, 3538, 6130, 532, 14896, 22109, 236761, 106, 107, 105, 2364, 107, 12879, 573, 506, 25890, 236761, 3792, 236858, 236751, 3137, 19276, 1131, 506, 8330, 83073, 532, 14896, 44970, 4106, 236761, 28344, 611, 1161, 5498, 236770, 1570, 531, 18840, 672, 78923, 699, 614, 136608, 4122, 1948, 6492, 532, 496, 1255, 6102, 5368, 21385, 236881, 808, 3354, 14983, 1816, 149681, 756, 3354, 14983, 236743, 236800, 236771, 236772, 13807, 22039, 20467, 52414, 13526, 22051, 13909, 236764, 3798, 6733, 8443, 236764, 532, 5646, 16433, 8688, 236761, 56900, 573, 46659, 236764, 607, 19505, 580, 128804, 236764, 67207, 522, 236764, 532, 12214, 5646, 7085, 808, 1489, 6102, 1816, 149681, 756, 1489, 6102, 236858, 236751, 5431, 3997, 5058, 71926, 2203, 39252, 236764, 2354, 2256, 236764, 532, 1759, 236772, 2289, 13859, 6436, 236761, 9533, 4065, 3204, 7715, 16074, 236764, 3325, 17611, 210943, 236764, 532, 6551, 2802, 573, 2135, 7974, 7085, 564, 1461, 531, 8430, 3530, 6130, 532, 20880, 600, 8913, 607, 506, 10319, 22888, 611, 1765, 6517, 236761, 3792, 236858, 236751, 1460, 1217, 1239, 83073, 14806, 1131, 506, 4532, 83021, 236858, 236751, 3853, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 11058, 108816, 13909, 827, 623, 10141, 6733, 8443, 827, 623, 89653, 16433, 8688, 827, 623, 12666, 3203, 913, 827, 623, 1166, 2806, 28803, 827, 623, 236745, 5958, 522, 827, 623, 155176, 5646, 827, 623, 6201, 39252, 827, 623, 7565, 2256, 827, 623, 9238, 236772, 2289, 13859, 6436, 827, 623, 51128, 16074, 827, 623, 15276, 17611, 210943, 827, 623, 23104, 2802, 14255, 623, 28263, 236779, 21052, 1083, 3714, 19859, 236779, 121774, 1083, 623, 501, 827, 623, 28263, 236779, 2084, 1083, 623, 41427, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 47792, 1083, 3714, 18289, 8112, 1083, 11058, 3354, 14983, 236743, 236800, 236771, 236772, 13807, 22039, 20467, 52414, 14255, 623, 50581, 236779, 18220, 1083, 11058, 1489, 6102, 14255, 623, 18886, 236779, 17338, 1083, 11058, 108816, 13909, 827, 623, 10141, 6733, 8443, 827, 623, 1166, 2806, 28803, 827, 623, 236745, 5958, 522, 827, 623, 155176, 5646, 14255, 623, 19099, 236779, 16518, 1083, 11058, 6201, 39252, 827, 623, 7565, 2256, 827, 623, 9238, 236772, 2289, 13859, 827, 623, 51128, 16074, 827, 623, 15276, 17611, 210943, 827, 623, 23104, 2802, 14255, 623, 49164, 1083, 11058, 12666, 3203, 913, 827, 623, 3593, 7974, 14255, 623, 79205, 236779, 42103, 1083, 11058, 89653, 16433, 8688, 827, 623, 155176, 5646, 827, 623, 15276, 17611, 152254, 623, 28263, 236779, 21052, 1083, 3714, 28263, 236779, 2084, 1083, 623, 47792, 827, 623, 19859, 236779, 121774, 1083, 623, 501, 827, 623, 11128, 236779, 2861, 1083, 236743, 236770, 236832, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 506, 8330, 83073, 532, 910, 25000, 607, 4532, 83021, 10319, 6035, 236787, 108, 1018, 3354, 14983, 236743, 236800, 236771, 236772, 40427, 52414, 13768, 1018, 138, 107, 236829, 3503, 17263, 112451, 568, 54498, 1473, 236829, 138, 107, 236772, 69104, 13909, 568, 6102, 5646, 10319, 12889, 236768, 138, 107, 236772, 16175, 6733, 8443, 568, 39633, 14143, 2433, 236768, 138, 107, 236772, 2991, 2806, 28803, 236786, 236745, 5958, 522, 28463, 568, 11480, 236772, 37716, 4209, 3997, 236768, 138, 107, 236772, 37368, 5646, 568, 79205, 4652, 45759, 236768, 138, 108, 236829, 139388, 77453, 149681, 138, 107, 94671, 1493, 672, 22902, 29350, 822, 5596, 531, 4144, 5646, 28463, 568, 236828, 236828, 236908, 36787, 528, 3527, 3671, 236768, 532, 9688, 1494, 236772, 37716, 5431, 5085, 1271, 5467, 25963, 506, 623, 89653, 16433, 8688, 236775, 30136, 568, 236819, 236778, 236908, 10805, 528, 672, 3671, 769, 108, 1018, 1489, 6102, 15435, 13768, 1018, 138, 107, 236829, 3503, 25396, 25772, 149681, 138, 107, 236772, 10170, 236772, 2289, 13859, 6436, 568, 36661, 10319, 13469, 236768, 138, 107, 236772, 29125, 16074, 568, 61054, 40240, 12889, 236768, 138, 107, 236772, 18424, 2802, 573, 2135, 7974, 568, 17470, 236772, 25475, 26084, 236768, 138, 107, 236772, 19779, 17611, 210943, 568, 23771, 1854, 14739, 236768, 138, 108, 236829, 139388, 77453, 149681, 138, 107, 25261, 236762, 529, 1239, 4065, 28402, 506, 623, 17470, 44970, 236775, 12889, 568, 236832, 236770, 236908, 36787, 236768, 1651, 36674, 2434, 9286, 1343, 5177, 6436, 1271, 221937, 607, 506, 623, 236778, 236771, 236908, 3715, 2434, 9286, 236775, 46615, 699, 506, 10319, 15067, 4676, 236761, 108, 1018, 112865, 73384, 8236, 13739, 53121, 138, 107, 236770, 236761, 5213, 61569, 36485, 53121, 138, 107, 139, 236772, 136608, 236743, 236800, 236771, 22902, 900, 22051, 13909, 4122, 138, 107, 139, 236772, 37368, 5646, 14739, 568, 854, 18456, 12373, 83073, 236768, 138, 108, 236778, 236761, 5213, 32106, 36485, 53121, 138, 107, 139, 236772, 1255, 6102, 73666, 528, 7715, 16074, 833, 13859, 6436, 138, 107, 139, 236772, 18424, 28134, 3997, 15858, 138, 108, 236800, 236761, 5213, 191132, 52922, 53121, 138, 107, 139, 236772, 21685, 2256, 6130, 568, 1708, 14143, 3997, 236768, 138, 107, 139, 236772, 19779, 17611, 28463, 568, 1708, 8443, 18138, 236768, 138, 108, 9208, 83073, 5467, 3421, 1156, 6749, 28893, 573, 71086, 2521, 2438, 236787, 8330, 5646, 10319, 568, 236770, 236771, 236771, 236908, 529, 136608, 19505, 8913, 607, 26409, 3441, 10993, 236768, 532, 5177, 11918, 58024, 568, 236832, 2307, 1255, 6102, 4065, 4187, 531, 4532, 10319, 6035, 769, 21284, 611, 1133, 1601, 132187, 837, 83073, 531, 22352, 1171, 2721, 580, 822, 1873, 2707, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236858, 560, 1010, 3182, 657, 1070, 3195, 132409, 573, 5431, 83021, 13616, 532, 3956, 10308, 1003, 10319, 15067, 236761, 28344, 611, 18840, 1091, 1699, 506, 5498, 236770, 5904, 236881, 564, 1461, 531, 8430, 30154, 532, 20880, 531, 1460, 1144, 6130, 659, 1346, 528, 5056, 532, 1027, 3364, 22888, 528, 6595, 10319, 10154, 236761, 1174, 1093, 1601, 786, 11006, 573, 6049, 1131, 496, 83021, 3853, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 18840, 506, 3004, 611, 6950, 236761, 2282, 7162, 607, 506, 5498, 236770, 5904, 236764, 564, 236789, 859, 1202, 506, 5396, 1816, 3004, 699, 506, 3195, 132409, 532, 3956, 10308, 611, 236789, 500, 35329, 236761, 7323, 2847, 506, 1816, 611, 236789, 236753, 1133, 17480, 568, 1048, 531, 236743, 236810, 236771, 236771, 236771, 7579, 779, 532, 564, 236789, 859, 8430, 1800, 30154, 532, 20880, 531, 8701, 506, 2307, 6130, 532, 10319, 22888, 236761, 106, 107, 105, 2364, 107, 8291, 236858, 236751, 506, 1816, 699, 496, 3195, 25035, 573, 496, 5431, 83021, 3853, 236787, 808, 236789, 207228, 496, 8052, 236772, 29963, 22039, 159643, 531, 2080, 48401, 580, 6635, 5699, 236761, 20360, 735, 236743, 236800, 236862, 1518, 529, 71152, 2707, 236764, 9691, 4654, 529, 136608, 8443, 236764, 532, 5596, 531, 1676, 142046, 236761, 218990, 528, 12160, 9314, 532, 990, 3997, 3149, 236761, 57823, 607, 43118, 653, 12214, 83073, 12373, 7085, 236829, 1452, 1590, 236858, 236751, 496, 54369, 699, 614, 4676, 1003, 10319, 15067, 236787, 808, 236789, 32899, 5431, 10319, 58811, 13690, 14020, 532, 14896, 44970, 236761, 7947, 2438, 1015, 22064, 4916, 236772, 498, 14739, 607, 5177, 6436, 1133, 1255, 6102, 5368, 1460, 236743, 236778, 236771, 236908, 3715, 2434, 9286, 236761, 44234, 13628, 6607, 992, 65879, 607, 7005, 3432, 26690, 7085, 236829, 121353, 1239, 607, 5498, 236770, 531, 8430, 30154, 532, 20880, 237028, 1184, 236858, 236751, 1460, 1144, 6130, 532, 22888, 1975, 855, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 11058, 16988, 236772, 29963, 827, 623, 50953, 159643, 827, 623, 12666, 176680, 2707, 827, 623, 3354, 14983, 8443, 827, 623, 1399, 142046, 827, 623, 128828, 9314, 827, 623, 2289, 3997, 827, 623, 40495, 3230, 83073, 827, 623, 155176, 83073, 827, 623, 115045, 14020, 827, 623, 17470, 44970, 827, 623, 1489, 6102, 5368, 827, 623, 658, 13628, 6607, 827, 623, 14992, 9286, 827, 623, 8777, 26690, 14255, 623, 47792, 1083, 3714, 102925, 1083, 11058, 3354, 14983, 827, 623, 1489, 6102, 5368, 14255, 623, 18289, 8112, 1083, 11058, 40495, 3230, 827, 623, 155176, 14255, 623, 80284, 1083, 11058, 236778, 236771, 236908, 3715, 2434, 9286, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 47792, 1083, 78493, 1005, 1083, 623, 50953, 159643, 827, 623, 2084, 1083, 623, 16882, 29722, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236819, 236810, 1263, 3714, 1005, 1083, 623, 12666, 176680, 2707, 827, 623, 2084, 1083, 623, 92495, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236819, 236778, 1263, 3714, 1005, 1083, 623, 3354, 14983, 8443, 827, 623, 2084, 1083, 623, 165411, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236828, 236828, 1263, 3714, 1005, 1083, 623, 1399, 142046, 827, 623, 2084, 1083, 623, 92495, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236828, 236810, 1263, 3714, 1005, 1083, 623, 128828, 9314, 827, 623, 2084, 1083, 623, 92495, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236828, 236800, 1263, 3714, 1005, 1083, 623, 2289, 3997, 827, 623, 2084, 1083, 623, 92495, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236828, 236770, 1263, 3714, 1005, 1083, 623, 40495, 3230, 83073, 827, 623, 2084, 1083, 623, 173740, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236832, 236828, 1263, 3714, 1005, 1083, 623, 155176, 83073, 827, 623, 2084, 1083, 623, 173740, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236832, 236825, 1263, 3714, 1005, 1083, 623, 115045, 14020, 827, 623, 2084, 1083, 623, 92495, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236832, 236800, 1263, 3714, 1005, 1083, 623, 17470, 44970, 827, 623, 2084, 1083, 623, 92495, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236832, 236770, 1263, 3714, 1005, 1083, 623, 1489, 6102, 5368, 827, 623, 2084, 1083, 623, 49276, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236825, 236828, 1263, 3714, 1005, 1083, 623, 236778, 236771, 236908, 3715, 2434, 9286, 827, 623, 2084, 1083, 623, 179985, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236825, 236810, 1263, 3714, 1005, 1083, 623, 658, 13628, 6607, 827, 623, 2084, 1083, 623, 15162, 827, 623, 500, 113458, 1083, 236743, 236771, 236761, 236825, 236778, 104960, 623, 28263, 236779, 21052, 1083, 3714, 19859, 1083, 623, 501, 827, 623, 28263, 236779, 2084, 1083, 623, 47792, 827, 623, 23046, 236779, 2289, 236779, 1356, 1083, 236743, 236770, 236812, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 822, 3847, 23505, 236787, 108, 1018, 8534, 39432, 833, 33197, 568, 43595, 1473, 1018, 138, 107, 236772, 213359, 2707, 568, 236800, 236862, 1518, 236768, 138, 107, 236772, 136608, 8443, 4654, 138, 107, 236772, 50573, 6013, 73666, 138, 107, 236772, 71928, 9314, 833, 990, 3997, 138, 107, 236772, 22202, 83073, 568, 40495, 3230, 236764, 12214, 236768, 138, 107, 236772, 105701, 14020, 138, 107, 236772, 18671, 44970, 568, 36661, 6436, 1133, 1255, 6102, 236768, 138, 108, 1018, 3503, 36485, 137944, 568, 54498, 1473, 1018, 138, 107, 236770, 236761, 5213, 32899, 36485, 39432, 1018, 138, 107, 139, 236772, 105701, 14020, 568, 500, 113458, 236787, 236743, 236771, 236761, 236832, 236800, 236768, 138, 107, 139, 236772, 18671, 44970, 568, 236771, 236761, 236832, 236770, 236768, 138, 107, 139, 236772, 44234, 13628, 6607, 568, 236771, 236761, 236825, 236778, 236768, 138, 108, 236778, 236761, 5213, 191132, 52922, 1018, 138, 107, 139, 236772, 1255, 6102, 5368, 568, 236771, 236761, 236825, 236828, 236768, 12809, 531, 5213, 236778, 236771, 236908, 3715, 2434, 9286, 1018, 138, 107, 139, 236772, 16661, 3213, 568, 3354, 14983, 8443, 657, 236743, 236771, 236761, 236828, 236828, 36787, 236768, 138, 108, 236800, 236761, 5213, 58972, 145655, 1018, 138, 107, 139, 236772, 44300, 236772, 498, 83073, 568, 40495, 3230, 236786, 155176, 657, 236743, 236771, 236761, 236832, 236825, 236772, 236771, 236761, 236832, 236828, 236768, 138, 107, 139, 236772, 50573, 16823, 568, 236771, 236761, 236828, 236810, 236768, 138, 108, 1018, 176517, 573, 44987, 8236, 53121, 138, 107, 2021, 2939, 5869, 573, 496, 83021, 3853, 236764, 56856, 236787, 138, 107, 236770, 236761, 667, 12179, 10781, 71152, 2707, 138, 107, 236778, 236761, 198737, 136608, 236743, 236800, 236771, 236772, 13807, 22902, 138, 107, 236800, 236761, 44712, 8330, 28150, 568, 40495, 3230, 236786, 155176, 236768, 138, 107, 236812, 236761, 65273, 13690, 14020, 532, 5177, 5904, 73666, 138, 107, 236810, 236761, 21685, 522, 97779, 2707, 138, 108, 818, 1262, 3831, 600, 6595, 4532, 2521, 2438, 17794, 6672, 5431, 14739, 607, 1800, 10319, 3538, 6130, 532, 14896, 22109, 236761, 106, 107, 105, 2364, 107, 12879, 573, 506, 25890, 236761, 3792, 236858, 236751, 3137, 19276, 1131, 506, 8330, 83073, 532, 14896, 44970, 4106, 236761, 28344, 611, 1161, 5498, 236770, 1570, 531, 18840, 672, 78923, 699, 614, 136608, 4122, 1948, 6492, 532, 496, 1255, 6102, 5368, 21385, 236881, 808, 3354, 14983, 1816, 149681, 756, 3354, 14983, 236743, 236800, 236771, 236772, 13807, 22039, 20467, 52414, 13526, 22051, 13909, 236764, 3798, 6733, 8443, 236764, 532, 5646, 16433, 8688, 236761, 56900, 573, 46659, 236764, 607, 19505, 580, 128804, 236764, 67207, 522, 236764, 532, 12214, 5646, 7085, 808, 1489, 6102, 1816, 149681, 756, 1489, 6102, 236858, 236751, 5431, 3997, 5058, 71926, 2203, 39252, 236764, 2354, 2256, 236764, 532, 1759, 236772, 2289, 13859, 6436, 236761, 9533, 4065, 3204, 7715, 16074, 236764, 3325, 17611, 210943, 236764, 532, 6551, 2802, 573, 2135, 7974, 7085, 564, 1461, 531, 8430, 3530, 6130, 532, 20880, 600, 8913, 607, 506, 10319, 22888, 611, 1765, 6517, 236761, 3792, 236858, 236751, 1460, 1217, 1239, 83073, 14806, 1131, 506, 4532, 83021, 236858, 236751, 3853, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 11058, 108816, 13909, 827, 623, 10141, 6733, 8443, 827, 623, 89653, 16433, 8688, 827, 623, 12666, 3203, 913, 827, 623, 1166, 2806, 28803, 827, 623, 236745, 5958, 522, 827, 623, 155176, 5646, 827, 623, 6201, 39252, 827, 623, 7565, 2256, 827, 623, 9238, 236772, 2289, 13859, 6436, 827, 623, 51128, 16074, 827, 623, 15276, 17611, 210943, 827, 623, 23104, 2802, 14255, 623, 28263, 236779, 21052, 1083, 3714, 19859, 236779, 121774, 1083, 623, 501, 827, 623, 28263, 236779, 2084, 1083, 623, 41427, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 47792, 1083, 3714, 18289, 8112, 1083, 11058, 3354, 14983, 236743, 236800, 236771, 236772, 13807, 22039, 20467, 52414, 14255, 623, 50581, 236779, 18220, 1083, 11058, 1489, 6102, 14255, 623, 18886, 236779, 17338, 1083, 11058, 108816, 13909, 827, 623, 10141, 6733, 8443, 827, 623, 1166, 2806, 28803, 827, 623, 236745, 5958, 522, 827, 623, 155176, 5646, 14255, 623, 19099, 236779, 16518, 1083, 11058, 6201, 39252, 827, 623, 7565, 2256, 827, 623, 9238, 236772, 2289, 13859, 827, 623, 51128, 16074, 827, 623, 15276, 17611, 210943, 827, 623, 23104, 2802, 14255, 623, 49164, 1083, 11058, 12666, 3203, 913, 827, 623, 3593, 7974, 14255, 623, 79205, 236779, 42103, 1083, 11058, 89653, 16433, 8688, 827, 623, 155176, 5646, 827, 623, 15276, 17611, 152254, 623, 28263, 236779, 21052, 1083, 3714, 28263, 236779, 2084, 1083, 623, 47792, 827, 623, 19859, 236779, 121774, 1083, 623, 501, 827, 623, 11128, 236779, 2861, 1083, 236743, 236770, 236832, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 506, 8330, 83073, 532, 910, 25000, 607, 4532, 83021, 10319, 6035, 236787, 108, 1018, 3354, 14983, 236743, 236800, 236771, 236772, 40427, 52414, 13768, 1018, 138, 107, 236829, 3503, 17263, 112451, 568, 54498, 1473, 236829, 138, 107, 236772, 69104, 13909, 568, 6102, 5646, 10319, 12889, 236768, 138, 107, 236772, 16175, 6733, 8443, 568, 39633, 14143, 2433, 236768, 138, 107, 236772, 2991, 2806, 28803, 236786, 236745, 5958, 522, 28463, 568, 11480, 236772, 37716, 4209, 3997, 236768, 138, 107, 236772, 37368, 5646, 568, 79205, 4652, 45759, 236768, 138, 108, 236829, 139388, 77453, 149681, 138, 107, 94671, 1493, 672, 22902, 29350, 822, 5596, 531, 4144, 5646, 28463, 568, 236828, 236828, 236908, 36787, 528, 3527, 3671, 236768, 532, 9688, 1494, 236772, 37716, 5431, 5085, 1271, 5467, 25963, 506, 623, 89653, 16433, 8688, 236775, 30136, 568, 236819, 236778, 236908, 10805, 528, 672, 3671, 769, 108, 1018, 1489, 6102, 15435, 13768, 1018, 138, 107, 236829, 3503, 25396, 25772, 149681, 138, 107, 236772, 10170, 236772, 2289, 13859, 6436, 568, 36661, 10319, 13469, 236768, 138, 107, 236772, 29125, 16074, 568, 61054, 40240, 12889, 236768, 138, 107, 236772, 18424, 2802, 573, 2135, 7974, 568, 17470, 236772, 25475, 26084, 236768, 138, 107, 236772, 19779, 17611, 210943, 568, 23771, 1854, 14739, 236768, 138, 108, 236829, 139388, 77453, 149681, 138, 107, 25261, 236762, 529, 1239, 4065, 28402, 506, 623, 17470, 44970, 236775, 12889, 568, 236832, 236770, 236908, 36787, 236768, 1651, 36674, 2434, 9286, 1343, 5177, 6436, 1271, 221937, 607, 506, 623, 236778, 236771, 236908, 3715, 2434, 9286, 236775, 46615, 699, 506, 10319, 15067, 4676, 236761, 108, 1018, 112865, 73384, 8236, 13739, 53121, 138, 107, 236770, 236761, 5213, 61569, 36485, 53121, 138, 107, 139, 236772, 136608, 236743, 236800, 236771, 22902, 900, 22051, 13909, 4122, 138, 107, 139, 236772, 37368, 5646, 14739, 568, 854, 18456, 12373, 83073, 236768, 138, 108, 236778, 236761, 5213, 32106, 36485, 53121, 138, 107, 139, 236772, 1255, 6102, 73666, 528, 7715, 16074, 833, 13859, 6436, 138, 107, 139, 236772, 18424, 28134, 3997, 15858, 138, 108, 236800, 236761, 5213, 191132, 52922, 53121, 138, 107, 139, 236772, 21685, 2256, 6130, 568, 1708, 14143, 3997, 236768, 138, 107, 139, 236772, 19779, 17611, 28463, 568, 1708, 8443, 18138, 236768, 138, 108, 9208, 83073, 5467, 3421, 1156, 6749, 28893, 573, 71086, 2521, 2438, 236787, 8330, 5646, 10319, 568, 236770, 236771, 236771, 236908, 529, 136608, 19505, 8913, 607, 26409, 3441, 10993, 236768, 532, 5177, 11918, 58024, 568, 236832, 2307, 1255, 6102, 4065, 4187, 531, 4532, 10319, 6035, 769, 21284, 611, 1133, 1601, 132187, 837, 83073, 531, 22352, 1171, 2721, 580, 822, 1873, 2707, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 11180, 37031, 573, 496, 4867, 36112, 564, 236789, 236757, 8812, 236761, 3792, 236789, 236751, 1502, 607, 672, 2430, 8726, 2483, 236787, 623, 106093, 236786, 236810, 236761, 236771, 568, 236917, 236770, 236770, 236793, 21694, 1123, 236828, 236825, 236779, 236825, 236812, 236768, 220017, 236786, 236810, 236800, 236810, 236761, 236770, 236770, 568, 196911, 236764, 1133, 120135, 236768, 27165, 236786, 236770, 236778, 236800, 236761, 236771, 236761, 236771, 236761, 236771, 48683, 236786, 236810, 236800, 236832, 236761, 236800, 236825, 3056, 5315, 236764, 2426, 768, 672, 12765, 6940, 9179, 573, 1023, 21931, 28494, 236761, 4298, 236764, 768, 506, 16080, 3567, 563, 3426, 623, 236770, 236771, 236761, 236770, 236810, 236761, 236832, 236775, 1056, 45271, 236764, 7162, 531, 18840, 672, 1855, 2483, 236787, 623, 106093, 236786, 236810, 236761, 236771, 568, 50668, 236793, 20974, 13921, 16080, 236743, 236770, 236825, 236779, 236771, 1133, 6989, 16080, 1684, 236768, 220017, 236786, 236825, 236771, 236810, 236761, 236770, 236761, 236770, 236810, 568, 196911, 236764, 1133, 120135, 236768, 16811, 236786, 236770, 236825, 236761, 236771, 18424, 236786, 236770, 236810, 236788, 236770, 236812, 236828, 48683, 236786, 236825, 236771, 236812, 236761, 236770, 3056, 13472, 236764, 25774, 496, 2072, 22020, 910, 4744, 15858, 236761, 39694, 1027, 58089, 9825, 122605, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 18840, 11180, 37031, 573, 822, 4867, 36112, 236761, 2282, 7162, 236764, 564, 1202, 506, 25453, 3372, 9299, 10945, 2307, 531, 2121, 506, 3671, 236761, 28344, 611, 5091, 2847, 506, 236743, 236800, 236825, 236772, 18857, 142585, 10945, 2307, 607, 7317, 7919, 568, 236744, 236761, 236759, 1126, 756, 32503, 236772, 32503, 236772, 32503, 236772, 32503, 1606, 3149, 531, 1161, 506, 11180, 2430, 8726, 3671, 5904, 236881, 106, 107, 105, 2364, 107, 236799, 236828, 236778, 236800, 236772, 236796, 236832, 236770, 236776, 236772, 236819, 236811, 236812, 236780, 236772, 236810, 236788, 236825, 236776, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 28263, 1083, 3714, 6005, 236779, 2364, 20154, 1083, 3714, 18625, 1083, 3714, 1201, 1083, 623, 50737, 827, 623, 4406, 1083, 623, 236770, 236778, 236800, 236761, 236771, 236761, 236771, 236761, 236771, 827, 623, 5166, 3626, 236779, 9442, 1083, 1847, 1263, 623, 585, 1083, 3714, 1201, 1083, 623, 56154, 827, 623, 4406, 1083, 623, 236781, 236828, 236825, 236779, 236825, 236812, 827, 623, 511, 236779, 60096, 236779, 34436, 1083, 2416, 1263, 623, 10212, 1083, 3714, 2084, 1083, 623, 54621, 827, 623, 19995, 1083, 623, 20774, 236775, 5237, 623, 8556, 236779, 2364, 20154, 1083, 3714, 18625, 1083, 3714, 1201, 1083, 623, 160378, 827, 623, 4406, 1083, 623, 236770, 236825, 236761, 236771, 827, 623, 5166, 3626, 236779, 9442, 1083, 1847, 1263, 623, 585, 1083, 3714, 1201, 1083, 623, 67618, 827, 623, 4406, 1083, 623, 236770, 236825, 236761, 236771, 827, 623, 511, 236779, 60096, 236779, 34436, 1083, 2416, 1263, 623, 10212, 1083, 3714, 2084, 1083, 623, 23104, 827, 623, 19995, 1083, 623, 31319, 236775, 5237, 623, 88933, 1083, 3714, 11147, 236779, 16518, 1083, 11058, 225639, 827, 623, 44195, 21005, 236825, 14255, 623, 61869, 7910, 1083, 3714, 54621, 1083, 11058, 50737, 25616, 827, 623, 6721, 39049, 14255, 623, 23104, 1083, 11058, 25281, 4749, 827, 623, 87247, 9299, 1935, 112679, 623, 31455, 236779, 4730, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 2072, 573, 822, 4867, 36112, 37031, 236787, 108, 1018, 2887, 30636, 236743, 236770, 568, 41326, 1473, 1018, 138, 107, 236775, 106093, 236786, 236810, 236761, 236771, 568, 236917, 236770, 236770, 236793, 21694, 1123, 236828, 236825, 236779, 236825, 236812, 236768, 220017, 236786, 236810, 236800, 236810, 236761, 236770, 236770, 568, 196911, 236764, 1133, 120135, 236768, 27165, 236786, 236770, 236778, 236800, 236761, 236771, 236761, 236771, 236761, 236771, 48683, 236786, 236810, 236800, 236832, 236761, 236800, 236825, 236775, 138, 107, 236772, 5213, 25254, 66515, 27165, 236743, 236770, 236778, 236800, 236761, 236771, 236761, 236771, 236761, 236771, 92646, 238178, 568, 225639, 8008, 236768, 138, 107, 236772, 5213, 3354, 66515, 21694, 1123, 236828, 236825, 236779, 236825, 236812, 568, 4348, 79325, 753, 3567, 14272, 2426, 646, 236786, 236776, 236768, 138, 107, 236772, 5213, 15539, 66515, 56647, 568, 41387, 5500, 236768, 138, 108, 1018, 2887, 30636, 236743, 236778, 568, 26637, 1473, 1018, 138, 107, 236775, 106093, 236786, 236810, 236761, 236771, 568, 50668, 236793, 20974, 13921, 16080, 236743, 236770, 236825, 236779, 236771, 1133, 6989, 16080, 1684, 236768, 220017, 236786, 236825, 236771, 236810, 236761, 236770, 236761, 236770, 236810, 568, 196911, 236764, 1133, 120135, 236768, 16811, 236786, 236770, 236825, 236761, 236771, 18424, 236786, 236770, 236810, 236788, 236770, 236812, 236828, 48683, 236786, 236825, 236771, 236812, 236761, 236770, 236775, 138, 107, 236772, 5213, 25254, 66515, 48683, 236743, 236770, 236825, 236761, 236771, 92646, 238178, 568, 225639, 8008, 236768, 138, 107, 236772, 5213, 3354, 66515, 21019, 236743, 236770, 236825, 236761, 236771, 568, 68941, 79325, 236743, 236770, 236771, 236761, 236770, 236810, 236761, 236832, 14272, 236768, 138, 107, 236772, 5213, 15539, 66515, 18424, 568, 31319, 13921, 236768, 138, 108, 1018, 24496, 36520, 53121, 138, 107, 240732, 5213, 19892, 211339, 66515, 138, 107, 236772, 6940, 9179, 573, 21931, 28494, 138, 107, 236772, 20737, 21005, 236825, 1894, 138, 108, 246533, 5213, 3503, 85737, 66515, 138, 107, 236909, 56647, 568, 50737, 236768, 1109, 18424, 568, 160378, 236768, 1109, 138, 107, 236909, 2819, 726, 236909, 2819, 119434, 138, 107, 236909, 27165, 25616, 1109, 31808, 4749, 1109, 138, 107, 236909, 6940, 39049, 9299, 139, 236909, 62072, 12923, 9299, 1109, 138, 108, 1018, 201430, 53121, 138, 107, 236770, 236761, 10508, 58029, 1894, 6940, 9179, 236764, 834, 822, 21931, 28494, 1374, 981, 58912, 138, 107, 236778, 236761, 1701, 21694, 21116, 5089, 236764, 1966, 8009, 4926, 12692, 573, 6940, 39049, 138, 107, 236800, 236761, 1701, 21019, 5089, 236764, 4144, 6374, 236772, 18865, 12239, 532, 110841, 236772, 5140, 12969, 138, 107, 236812, 236761, 6890, 30415, 1702, 531, 7535, 68248, 1534, 21116, 532, 6551, 1927, 3370, 138, 108, 818, 3671, 3831, 1535, 37031, 6782, 236764, 607, 1800, 58029, 11584, 4532, 4108, 8443, 236761, 30235, 580, 61232, 6374, 12969, 573, 6551, 5089, 1651, 64004, 21116, 15858, 573, 9691, 4065, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 11180, 37031, 573, 496, 4867, 36112, 564, 236789, 236757, 8812, 236761, 3792, 236789, 236751, 1502, 607, 672, 2430, 8726, 2483, 236787, 623, 106093, 236786, 236810, 236761, 236771, 568, 236917, 236770, 236770, 236793, 21694, 1123, 236828, 236825, 236779, 236825, 236812, 236768, 220017, 236786, 236810, 236800, 236810, 236761, 236770, 236770, 568, 196911, 236764, 1133, 120135, 236768, 27165, 236786, 236770, 236778, 236800, 236761, 236771, 236761, 236771, 236761, 236771, 48683, 236786, 236810, 236800, 236832, 236761, 236800, 236825, 3056, 5315, 236764, 2426, 768, 672, 12765, 6940, 9179, 573, 1023, 21931, 28494, 236761, 4298, 236764, 768, 506, 16080, 3567, 563, 3426, 623, 236770, 236771, 236761, 236770, 236810, 236761, 236832, 236775, 1056, 45271, 236764, 7162, 531, 18840, 672, 1855, 2483, 236787, 623, 106093, 236786, 236810, 236761, 236771, 568, 50668, 236793, 20974, 13921, 16080, 236743, 236770, 236825, 236779, 236771, 1133, 6989, 16080, 1684, 236768, 220017, 236786, 236825, 236771, 236810, 236761, 236770, 236761, 236770, 236810, 568, 196911, 236764, 1133, 120135, 236768, 16811, 236786, 236770, 236825, 236761, 236771, 18424, 236786, 236770, 236810, 236788, 236770, 236812, 236828, 48683, 236786, 236825, 236771, 236812, 236761, 236770, 3056, 13472, 236764, 25774, 496, 2072, 22020, 910, 4744, 15858, 236761, 39694, 1027, 58089, 9825, 122605, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 18840, 11180, 37031, 573, 822, 4867, 36112, 236761, 2282, 7162, 236764, 564, 1202, 506, 25453, 3372, 9299, 10945, 2307, 531, 2121, 506, 3671, 236761, 28344, 611, 5091, 2847, 506, 236743, 236800, 236825, 236772, 18857, 142585, 10945, 2307, 607, 7317, 7919, 568, 236744, 236761, 236759, 1126, 756, 32503, 236772, 32503, 236772, 32503, 236772, 32503, 1606, 3149, 531, 1161, 506, 11180, 2430, 8726, 3671, 5904, 236881, 106, 107, 105, 2364, 107, 236799, 236828, 236778, 236800, 236772, 236796, 236832, 236770, 236776, 236772, 236819, 236811, 236812, 236780, 236772, 236810, 236788, 236825, 236776, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 28263, 1083, 3714, 6005, 236779, 2364, 20154, 1083, 3714, 18625, 1083, 3714, 1201, 1083, 623, 50737, 827, 623, 4406, 1083, 623, 236770, 236778, 236800, 236761, 236771, 236761, 236771, 236761, 236771, 827, 623, 5166, 3626, 236779, 9442, 1083, 1847, 1263, 623, 585, 1083, 3714, 1201, 1083, 623, 56154, 827, 623, 4406, 1083, 623, 236781, 236828, 236825, 236779, 236825, 236812, 827, 623, 511, 236779, 60096, 236779, 34436, 1083, 2416, 1263, 623, 10212, 1083, 3714, 2084, 1083, 623, 54621, 827, 623, 19995, 1083, 623, 20774, 236775, 5237, 623, 8556, 236779, 2364, 20154, 1083, 3714, 18625, 1083, 3714, 1201, 1083, 623, 160378, 827, 623, 4406, 1083, 623, 236770, 236825, 236761, 236771, 827, 623, 5166, 3626, 236779, 9442, 1083, 1847, 1263, 623, 585, 1083, 3714, 1201, 1083, 623, 67618, 827, 623, 4406, 1083, 623, 236770, 236825, 236761, 236771, 827, 623, 511, 236779, 60096, 236779, 34436, 1083, 2416, 1263, 623, 10212, 1083, 3714, 2084, 1083, 623, 23104, 827, 623, 19995, 1083, 623, 31319, 236775, 5237, 623, 88933, 1083, 3714, 11147, 236779, 16518, 1083, 11058, 225639, 827, 623, 44195, 21005, 236825, 14255, 623, 61869, 7910, 1083, 3714, 54621, 1083, 11058, 50737, 25616, 827, 623, 6721, 39049, 14255, 623, 23104, 1083, 11058, 25281, 4749, 827, 623, 87247, 9299, 1935, 112679, 623, 31455, 236779, 4730, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 2072, 573, 822, 4867, 36112, 37031, 236787, 108, 1018, 2887, 30636, 236743, 236770, 568, 41326, 1473, 1018, 138, 107, 236775, 106093, 236786, 236810, 236761, 236771, 568, 236917, 236770, 236770, 236793, 21694, 1123, 236828, 236825, 236779, 236825, 236812, 236768, 220017, 236786, 236810, 236800, 236810, 236761, 236770, 236770, 568, 196911, 236764, 1133, 120135, 236768, 27165, 236786, 236770, 236778, 236800, 236761, 236771, 236761, 236771, 236761, 236771, 48683, 236786, 236810, 236800, 236832, 236761, 236800, 236825, 236775, 138, 107, 236772, 5213, 25254, 66515, 27165, 236743, 236770, 236778, 236800, 236761, 236771, 236761, 236771, 236761, 236771, 92646, 238178, 568, 225639, 8008, 236768, 138, 107, 236772, 5213, 3354, 66515, 21694, 1123, 236828, 236825, 236779, 236825, 236812, 568, 4348, 79325, 753, 3567, 14272, 2426, 646, 236786, 236776, 236768, 138, 107, 236772, 5213, 15539, 66515, 56647, 568, 41387, 5500, 236768, 138, 108, 1018, 2887, 30636, 236743, 236778, 568, 26637, 1473, 1018, 138, 107, 236775, 106093, 236786, 236810, 236761, 236771, 568, 50668, 236793, 20974, 13921, 16080, 236743, 236770, 236825, 236779, 236771, 1133, 6989, 16080, 1684, 236768, 220017, 236786, 236825, 236771, 236810, 236761, 236770, 236761, 236770, 236810, 568, 196911, 236764, 1133, 120135, 236768, 16811, 236786, 236770, 236825, 236761, 236771, 18424, 236786, 236770, 236810, 236788, 236770, 236812, 236828, 48683, 236786, 236825, 236771, 236812, 236761, 236770, 236775, 138, 107, 236772, 5213, 25254, 66515, 48683, 236743, 236770, 236825, 236761, 236771, 92646, 238178, 568, 225639, 8008, 236768, 138, 107, 236772, 5213, 3354, 66515, 21019, 236743, 236770, 236825, 236761, 236771, 568, 68941, 79325, 236743, 236770, 236771, 236761, 236770, 236810, 236761, 236832, 14272, 236768, 138, 107, 236772, 5213, 15539, 66515, 18424, 568, 31319, 13921, 236768, 138, 108, 1018, 24496, 36520, 53121, 138, 107, 240732, 5213, 19892, 211339, 66515, 138, 107, 236772, 6940, 9179, 573, 21931, 28494, 138, 107, 236772, 20737, 21005, 236825, 1894, 138, 108, 246533, 5213, 3503, 85737, 66515, 138, 107, 236909, 56647, 568, 50737, 236768, 1109, 18424, 568, 160378, 236768, 1109, 138, 107, 236909, 2819, 726, 236909, 2819, 119434, 138, 107, 236909, 27165, 25616, 1109, 31808, 4749, 1109, 138, 107, 236909, 6940, 39049, 9299, 139, 236909, 62072, 12923, 9299, 1109, 138, 108, 1018, 201430, 53121, 138, 107, 236770, 236761, 10508, 58029, 1894, 6940, 9179, 236764, 834, 822, 21931, 28494, 1374, 981, 58912, 138, 107, 236778, 236761, 1701, 21694, 21116, 5089, 236764, 1966, 8009, 4926, 12692, 573, 6940, 39049, 138, 107, 236800, 236761, 1701, 21019, 5089, 236764, 4144, 6374, 236772, 18865, 12239, 532, 110841, 236772, 5140, 12969, 138, 107, 236812, 236761, 6890, 30415, 1702, 531, 7535, 68248, 1534, 21116, 532, 6551, 1927, 3370, 138, 108, 818, 3671, 3831, 1535, 37031, 6782, 236764, 607, 1800, 58029, 11584, 4532, 4108, 8443, 236761, 30235, 580, 61232, 6374, 12969, 573, 6551, 5089, 1651, 64004, 21116, 15858, 573, 9691, 4065, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 8729, 496, 44426, 3393, 573, 496, 78021, 3359, 5853, 573, 1041, 16038, 2260, 5975, 12441, 4598, 236761, 669, 78021, 3359, 5853, 563, 623, 3070, 236772, 38057, 236772, 140391, 236772, 236778, 236771, 236778, 236800, 236772, 236755, 71276, 3056, 3199, 611, 1601, 786, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 1083, 623, 1516, 236787, 3304, 236786, 5067, 236793, 5521, 236825, 236812, 236764, 236747, 65626, 1579, 236765, 236771, 61655, 1909, 70136, 1536, 13204, 236754, 30722, 236759, 70136, 236935, 34754, 236788, 55879, 78897, 120429, 49256, 623, 19631, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 827, 623, 99272, 236779, 547, 236779, 3456, 1083, 623, 3070, 236772, 38057, 236772, 140391, 236772, 236778, 236771, 236778, 236800, 236772, 236755, 71276, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 44426, 3393, 7835, 573, 822, 78021, 3359, 5853, 623, 3070, 236772, 38057, 236772, 140391, 236772, 236778, 236771, 236778, 236800, 236772, 236755, 71276, 1083, 108, 249460, 5213, 46603, 580, 53121, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 657, 236743, 236778, 236787, 236800, 236778, 8711, 59528, 138, 107, 245958, 5213, 75536, 3359, 5853, 35509, 53121, 2260, 236772, 38057, 236772, 140391, 236772, 236778, 236771, 236778, 236800, 236772, 236755, 71276, 108, 3048, 740, 1161, 672, 44426, 3393, 573, 2426, 236772, 1365, 653, 11211, 2460, 4889, 657, 822, 2260, 5975, 12441, 236761, 21284, 611, 1133, 786, 531, 2847, 11808, 573, 16011, 236786, 82273, 506, 44426, 3393, 236764, 653, 6253, 1061, 6518, 236786, 2086, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 2765, 531, 735, 496, 110718, 3567, 529, 672, 44426, 3393, 528, 52467, 6518, 573, 16386, 236761, 28344, 611, 8729, 496, 6463, 3205, 573, 625, 236881, 564, 1461, 531, 1386, 2889, 1041, 12286, 740, 5583, 13952, 625, 1056, 901, 15074, 657, 506, 12441, 4598, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19294, 236779, 2883, 1083, 623, 2574, 1411, 117129, 3677, 236761, 854, 236786, 48203, 236786, 19294, 236881, 1516, 236784, 3070, 236772, 38057, 236772, 140391, 236772, 236778, 236771, 236778, 236800, 236772, 236755, 71276, 236880, 2084, 236784, 48203, 236779, 3970, 236880, 2086, 236784, 236810, 236880, 5939, 236784, 5067, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 110718, 44426, 3393, 528, 52467, 6518, 236787, 107, 244854, 870, 18086, 44426, 8739, 573, 623, 3070, 236772, 38057, 236772, 140391, 236772, 236778, 236771, 236778, 236800, 236772, 236755, 71276, 1935, 236769, 2574, 1411, 117129, 3677, 236761, 854, 236786, 48203, 236786, 19294, 236881, 1516, 236784, 3070, 236772, 38057, 236772, 140391, 236772, 236778, 236771, 236778, 236800, 236772, 236755, 71276, 236880, 2084, 236784, 48203, 236779, 3970, 236880, 2086, 236784, 236810, 236880, 5939, 236784, 5067, 236768, 108, 2094, 236743, 236810, 236772, 14490, 44426, 3393, 795, 1887, 8207, 532, 577, 3735, 573, 12286, 531, 13952, 3324, 16257, 236761, 1599, 740, 1594, 625, 607, 496, 44426, 26500, 531, 5330, 625, 15195, 20838, 822, 78021, 3359, 5853, 236761, 21284, 611, 1133, 786, 531, 3600, 1027, 3530, 16386, 11221, 653, 21609, 3835, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 6463, 3205, 236888, 564, 236789, 859, 8426, 1594, 625, 607, 496, 44426, 26500, 1680, 16386, 236761, 562, 2321, 919, 4137, 236787, 236743, 236770, 236761, 3574, 611, 735, 1027, 11221, 573, 17096, 506, 44426, 3393, 24482, 8207, 580, 4077, 3627, 236881, 236743, 236778, 236761, 21284, 611, 5840, 496, 3530, 2425, 573, 92371, 506, 13762, 44426, 3393, 531, 1386, 625, 2633, 236772, 18865, 236881, 236743, 236800, 236761, 5393, 528, 1624, 236764, 1451, 611, 992, 8729, 496, 21609, 3567, 528, 86823, 6518, 236881, 564, 2473, 1202, 531, 46059, 625, 6077, 768, 1041, 25310, 12316, 872, 236761, 1599, 236789, 560, 1010, 1288, 496, 1601, 3016, 1271, 672, 12441, 4598, 563, 1771, 531, 577, 4011, 236888, 236743, 242507, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 3072, 573, 822, 44426, 3393, 12652, 236787, 108, 1018, 236770, 236761, 13105, 172707, 33879, 53121, 138, 107, 236772, 6890, 5213, 228897, 653, 12677, 236772, 142459, 3627, 1018, 573, 2480, 9530, 138, 107, 236772, 13466, 5213, 236775, 11480, 3325, 236775, 1887, 7846, 1018, 580, 822, 25310, 138, 107, 236772, 5803, 1887, 580, 4841, 3627, 1171, 531, 2426, 13952, 10634, 138, 108, 1018, 236778, 236761, 58731, 19511, 53121, 138, 107, 58513, 531, 5213, 236800, 236761, 236810, 236775, 1123, 236743, 236778, 236775, 568, 23019, 3733, 2425, 62902, 573, 2633, 59346, 653, 1977, 8651, 236761, 1174, 41131, 1060, 1132, 2109, 607, 2633, 2557, 236761, 138, 108, 1018, 236800, 236761, 86823, 36353, 16499, 53121, 138, 107, 8409, 1041, 1873, 6436, 8729, 52467, 236751, 5467, 236764, 564, 740, 1601, 611, 2619, 614, 86823, 236772, 42452, 3567, 684, 236787, 138, 107, 236772, 79767, 506, 3303, 44426, 3393, 1262, 2483, 573, 86823, 8299, 528, 1702, 6436, 138, 107, 236772, 59336, 522, 2196, 3489, 95011, 568, 236744, 236761, 236759, 1126, 870, 78951, 236772, 1071, 236772, 155194, 54240, 1826, 5457, 2574, 1411, 23557, 24733, 236761, 854, 1223, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 19148, 506, 5213, 5521, 236825, 236812, 52467, 1262, 1018, 573, 12040, 86823, 14274, 236881, 138, 107, 236778, 236761, 59336, 496, 5213, 38943, 3393, 17579, 607, 86823, 11264, 1018, 236881, 138, 107, 236800, 236761, 1276, 236772, 5738, 506, 5213, 78951, 6463, 3205, 1018, 573, 21609, 236881, 138, 108, 11069, 12286, 795, 8426, 14756, 506, 44027, 14896, 6374, 236888, 204906, 3792, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 8729, 496, 44426, 3393, 573, 496, 78021, 3359, 5853, 573, 1041, 16038, 2260, 5975, 12441, 4598, 236761, 669, 78021, 3359, 5853, 563, 623, 3070, 236772, 38057, 236772, 140391, 236772, 236778, 236771, 236778, 236800, 236772, 236755, 71276, 3056, 3199, 611, 1601, 786, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 1083, 623, 1516, 236787, 3304, 236786, 5067, 236793, 5521, 236825, 236812, 236764, 236747, 65626, 1579, 236765, 236771, 61655, 1909, 70136, 1536, 13204, 236754, 30722, 236759, 70136, 236935, 34754, 236788, 55879, 78897, 120429, 49256, 623, 19631, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 827, 623, 99272, 236779, 547, 236779, 3456, 1083, 623, 3070, 236772, 38057, 236772, 140391, 236772, 236778, 236771, 236778, 236800, 236772, 236755, 71276, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 44426, 3393, 7835, 573, 822, 78021, 3359, 5853, 623, 3070, 236772, 38057, 236772, 140391, 236772, 236778, 236771, 236778, 236800, 236772, 236755, 71276, 1083, 108, 249460, 5213, 46603, 580, 53121, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 657, 236743, 236778, 236787, 236800, 236778, 8711, 59528, 138, 107, 245958, 5213, 75536, 3359, 5853, 35509, 53121, 2260, 236772, 38057, 236772, 140391, 236772, 236778, 236771, 236778, 236800, 236772, 236755, 71276, 108, 3048, 740, 1161, 672, 44426, 3393, 573, 2426, 236772, 1365, 653, 11211, 2460, 4889, 657, 822, 2260, 5975, 12441, 236761, 21284, 611, 1133, 786, 531, 2847, 11808, 573, 16011, 236786, 82273, 506, 44426, 3393, 236764, 653, 6253, 1061, 6518, 236786, 2086, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 2765, 531, 735, 496, 110718, 3567, 529, 672, 44426, 3393, 528, 52467, 6518, 573, 16386, 236761, 28344, 611, 8729, 496, 6463, 3205, 573, 625, 236881, 564, 1461, 531, 1386, 2889, 1041, 12286, 740, 5583, 13952, 625, 1056, 901, 15074, 657, 506, 12441, 4598, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19294, 236779, 2883, 1083, 623, 2574, 1411, 117129, 3677, 236761, 854, 236786, 48203, 236786, 19294, 236881, 1516, 236784, 3070, 236772, 38057, 236772, 140391, 236772, 236778, 236771, 236778, 236800, 236772, 236755, 71276, 236880, 2084, 236784, 48203, 236779, 3970, 236880, 2086, 236784, 236810, 236880, 5939, 236784, 5067, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 110718, 44426, 3393, 528, 52467, 6518, 236787, 107, 244854, 870, 18086, 44426, 8739, 573, 623, 3070, 236772, 38057, 236772, 140391, 236772, 236778, 236771, 236778, 236800, 236772, 236755, 71276, 1935, 236769, 2574, 1411, 117129, 3677, 236761, 854, 236786, 48203, 236786, 19294, 236881, 1516, 236784, 3070, 236772, 38057, 236772, 140391, 236772, 236778, 236771, 236778, 236800, 236772, 236755, 71276, 236880, 2084, 236784, 48203, 236779, 3970, 236880, 2086, 236784, 236810, 236880, 5939, 236784, 5067, 236768, 108, 2094, 236743, 236810, 236772, 14490, 44426, 3393, 795, 1887, 8207, 532, 577, 3735, 573, 12286, 531, 13952, 3324, 16257, 236761, 1599, 740, 1594, 625, 607, 496, 44426, 26500, 531, 5330, 625, 15195, 20838, 822, 78021, 3359, 5853, 236761, 21284, 611, 1133, 786, 531, 3600, 1027, 3530, 16386, 11221, 653, 21609, 3835, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 6463, 3205, 236888, 564, 236789, 859, 8426, 1594, 625, 607, 496, 44426, 26500, 1680, 16386, 236761, 562, 2321, 919, 4137, 236787, 236743, 236770, 236761, 3574, 611, 735, 1027, 11221, 573, 17096, 506, 44426, 3393, 24482, 8207, 580, 4077, 3627, 236881, 236743, 236778, 236761, 21284, 611, 5840, 496, 3530, 2425, 573, 92371, 506, 13762, 44426, 3393, 531, 1386, 625, 2633, 236772, 18865, 236881, 236743, 236800, 236761, 5393, 528, 1624, 236764, 1451, 611, 992, 8729, 496, 21609, 3567, 528, 86823, 6518, 236881, 564, 2473, 1202, 531, 46059, 625, 6077, 768, 1041, 25310, 12316, 872, 236761, 1599, 236789, 560, 1010, 1288, 496, 1601, 3016, 1271, 672, 12441, 4598, 563, 1771, 531, 577, 4011, 236888, 236743, 242507, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 3072, 573, 822, 44426, 3393, 12652, 236787, 108, 1018, 236770, 236761, 13105, 172707, 33879, 53121, 138, 107, 236772, 6890, 5213, 228897, 653, 12677, 236772, 142459, 3627, 1018, 573, 2480, 9530, 138, 107, 236772, 13466, 5213, 236775, 11480, 3325, 236775, 1887, 7846, 1018, 580, 822, 25310, 138, 107, 236772, 5803, 1887, 580, 4841, 3627, 1171, 531, 2426, 13952, 10634, 138, 108, 1018, 236778, 236761, 58731, 19511, 53121, 138, 107, 58513, 531, 5213, 236800, 236761, 236810, 236775, 1123, 236743, 236778, 236775, 568, 23019, 3733, 2425, 62902, 573, 2633, 59346, 653, 1977, 8651, 236761, 1174, 41131, 1060, 1132, 2109, 607, 2633, 2557, 236761, 138, 108, 1018, 236800, 236761, 86823, 36353, 16499, 53121, 138, 107, 8409, 1041, 1873, 6436, 8729, 52467, 236751, 5467, 236764, 564, 740, 1601, 611, 2619, 614, 86823, 236772, 42452, 3567, 684, 236787, 138, 107, 236772, 79767, 506, 3303, 44426, 3393, 1262, 2483, 573, 86823, 8299, 528, 1702, 6436, 138, 107, 236772, 59336, 522, 2196, 3489, 95011, 568, 236744, 236761, 236759, 1126, 870, 78951, 236772, 1071, 236772, 155194, 54240, 1826, 5457, 2574, 1411, 23557, 24733, 236761, 854, 1223, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 19148, 506, 5213, 5521, 236825, 236812, 52467, 1262, 1018, 573, 12040, 86823, 14274, 236881, 138, 107, 236778, 236761, 59336, 496, 5213, 38943, 3393, 17579, 607, 86823, 11264, 1018, 236881, 138, 107, 236800, 236761, 1276, 236772, 5738, 506, 5213, 78951, 6463, 3205, 1018, 573, 21609, 236881, 138, 108, 11069, 12286, 795, 8426, 14756, 506, 44027, 14896, 6374, 236888, 204906, 3792, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 27023, 52681, 236764, 33998, 2148, 2297, 532, 1202, 1601, 22479, 496, 8217, 236761, 564, 236789, 236757, 18154, 607, 1041, 6853, 532, 1156, 6214, 236764, 532, 692, 1461, 531, 4196, 573, 496, 2069, 6250, 5729, 236743, 236810, 594, 236761, 1191, 5278, 496, 2523, 236772, 18865, 1977, 607, 496, 7444, 532, 3107, 531, 506, 7642, 236761, 3199, 611, 1586, 3835, 573, 775, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 202796, 1083, 78493, 1201, 1083, 623, 10655, 52681, 12831, 28081, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236778, 236778, 236771, 236764, 623, 22860, 1236, 1083, 11058, 11138, 827, 623, 66118, 2802, 827, 623, 60265, 5975, 827, 623, 6796, 47802, 14255, 623, 56905, 1083, 1847, 1263, 3714, 1201, 1083, 623, 236774, 22441, 1925, 27023, 52681, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236810, 236771, 236764, 623, 22860, 1236, 1083, 11058, 11138, 827, 623, 39952, 7642, 827, 623, 10774, 11630, 827, 623, 70358, 14255, 623, 56905, 1083, 1847, 1263, 3714, 1201, 1083, 623, 23013, 43402, 527, 27023, 52681, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236800, 236778, 236771, 236764, 623, 22860, 1236, 1083, 11058, 43819, 36513, 827, 623, 7128, 7642, 827, 623, 60265, 1441, 2433, 827, 623, 127676, 14255, 623, 56905, 1083, 2416, 104960, 623, 2305, 236779, 19031, 1083, 3714, 7125, 1083, 623, 10655, 52681, 236764, 33998, 827, 623, 4256, 236779, 495, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236771, 236810, 827, 623, 4256, 236779, 725, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236770, 236778, 827, 623, 192648, 1083, 236743, 236812, 1807, 106, 107, 105, 4368, 107, 8291, 659, 1070, 2523, 236772, 18865, 8217, 3835, 528, 27023, 52681, 236764, 33998, 573, 822, 4196, 699, 5729, 236743, 236810, 594, 531, 236743, 236770, 236778, 594, 236787, 108, 236770, 236761, 5213, 10655, 52681, 12831, 28081, 1018, 568, 236812, 236772, 7991, 236768, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236778, 236778, 236771, 236786, 9467, 138, 107, 139, 236772, 5213, 200017, 66515, 34401, 236764, 7642, 2802, 236764, 6214, 236789, 5975, 236764, 2196, 33279, 138, 107, 139, 236772, 5213, 9473, 66515, 45891, 573, 7965, 607, 2940, 236764, 5469, 31044, 5085, 573, 6214, 236761, 108, 236778, 236761, 5213, 236774, 22441, 1925, 27023, 52681, 1018, 568, 236800, 236772, 7991, 236768, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236810, 236771, 236786, 9467, 138, 107, 139, 236772, 5213, 200017, 66515, 34401, 236764, 3541, 7642, 236764, 2523, 11630, 236764, 580, 236772, 8777, 9180, 138, 107, 139, 236772, 5213, 9473, 66515, 29125, 236772, 18865, 5086, 607, 1982, 2802, 531, 14942, 28439, 236761, 108, 236800, 236761, 5213, 23013, 43402, 527, 27023, 52681, 1018, 568, 236810, 236772, 7991, 236768, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236800, 236778, 236771, 236786, 9467, 138, 107, 139, 236772, 5213, 200017, 66515, 34489, 36513, 236764, 2147, 7642, 236764, 6214, 236789, 1441, 2433, 236764, 26802, 138, 107, 139, 236772, 5213, 10282, 66515, 64382, 35929, 573, 822, 14069, 236764, 840, 5367, 11337, 573, 3402, 22817, 236761, 108, 38786, 611, 1133, 10686, 607, 22479, 886, 529, 506, 2487, 3835, 236764, 653, 1093, 611, 5278, 531, 11327, 1032, 20736, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 27023, 52681, 236764, 33998, 2148, 2297, 532, 1202, 1601, 22479, 496, 8217, 236761, 564, 236789, 236757, 18154, 607, 1041, 6853, 532, 1156, 6214, 236764, 532, 692, 1461, 531, 4196, 573, 496, 2069, 6250, 5729, 236743, 236810, 594, 236761, 1191, 5278, 496, 2523, 236772, 18865, 1977, 607, 496, 7444, 532, 3107, 531, 506, 7642, 236761, 3199, 611, 1586, 3835, 573, 775, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 202796, 1083, 78493, 1201, 1083, 623, 10655, 52681, 12831, 28081, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236778, 236778, 236771, 236764, 623, 22860, 1236, 1083, 11058, 11138, 827, 623, 66118, 2802, 827, 623, 60265, 5975, 827, 623, 6796, 47802, 14255, 623, 56905, 1083, 1847, 1263, 3714, 1201, 1083, 623, 236774, 22441, 1925, 27023, 52681, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236810, 236771, 236764, 623, 22860, 1236, 1083, 11058, 11138, 827, 623, 39952, 7642, 827, 623, 10774, 11630, 827, 623, 70358, 14255, 623, 56905, 1083, 1847, 1263, 3714, 1201, 1083, 623, 23013, 43402, 527, 27023, 52681, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236800, 236778, 236771, 236764, 623, 22860, 1236, 1083, 11058, 43819, 36513, 827, 623, 7128, 7642, 827, 623, 60265, 1441, 2433, 827, 623, 127676, 14255, 623, 56905, 1083, 2416, 104960, 623, 2305, 236779, 19031, 1083, 3714, 7125, 1083, 623, 10655, 52681, 236764, 33998, 827, 623, 4256, 236779, 495, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236771, 236810, 827, 623, 4256, 236779, 725, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236770, 236778, 827, 623, 192648, 1083, 236743, 236812, 1807, 106, 107, 105, 4368, 107, 8291, 659, 1070, 2523, 236772, 18865, 8217, 3835, 528, 27023, 52681, 236764, 33998, 573, 822, 4196, 699, 5729, 236743, 236810, 594, 531, 236743, 236770, 236778, 594, 236787, 108, 236770, 236761, 5213, 10655, 52681, 12831, 28081, 1018, 568, 236812, 236772, 7991, 236768, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236778, 236778, 236771, 236786, 9467, 138, 107, 139, 236772, 5213, 200017, 66515, 34401, 236764, 7642, 2802, 236764, 6214, 236789, 5975, 236764, 2196, 33279, 138, 107, 139, 236772, 5213, 9473, 66515, 45891, 573, 7965, 607, 2940, 236764, 5469, 31044, 5085, 573, 6214, 236761, 108, 236778, 236761, 5213, 236774, 22441, 1925, 27023, 52681, 1018, 568, 236800, 236772, 7991, 236768, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236810, 236771, 236786, 9467, 138, 107, 139, 236772, 5213, 200017, 66515, 34401, 236764, 3541, 7642, 236764, 2523, 11630, 236764, 580, 236772, 8777, 9180, 138, 107, 139, 236772, 5213, 9473, 66515, 29125, 236772, 18865, 5086, 607, 1982, 2802, 531, 14942, 28439, 236761, 108, 236800, 236761, 5213, 23013, 43402, 527, 27023, 52681, 1018, 568, 236810, 236772, 7991, 236768, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236800, 236778, 236771, 236786, 9467, 138, 107, 139, 236772, 5213, 200017, 66515, 34489, 36513, 236764, 2147, 7642, 236764, 6214, 236789, 1441, 2433, 236764, 26802, 138, 107, 139, 236772, 5213, 10282, 66515, 64382, 35929, 573, 822, 14069, 236764, 840, 5367, 11337, 573, 3402, 22817, 236761, 108, 38786, 611, 1133, 10686, 607, 22479, 886, 529, 506, 2487, 3835, 236764, 653, 1093, 611, 5278, 531, 11327, 1032, 20736, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 18840, 506, 1873, 3195, 2436, 528, 1799, 228384, 236789, 236751, 14896, 7095, 573, 496, 2958, 2203, 236761, 5715, 236789, 236751, 1217, 564, 1461, 611, 531, 4313, 672, 236787, 236743, 236770, 236761, 5315, 236764, 33205, 506, 236743, 236770, 236810, 1346, 4803, 3195, 38332, 699, 506, 1799, 228384, 11155, 9299, 236761, 28293, 1239, 531, 1186, 3204, 10681, 528, 506, 623, 57719, 21785, 236775, 8038, 600, 1660, 657, 3198, 236743, 236800, 1518, 529, 2707, 236761, 1637, 672, 7623, 18661, 1082, 236743, 236810, 4341, 10681, 236764, 6778, 506, 3927, 531, 3204, 784, 14896, 236772, 10619, 12669, 236761, 236743, 236778, 236761, 1701, 1546, 4341, 3195, 25035, 611, 1586, 236764, 8430, 506, 3195, 2729, 31744, 532, 1161, 625, 531, 33205, 9813, 1938, 1003, 1546, 2939, 236761, 4934, 1239, 4889, 236764, 25774, 236787, 753, 29748, 17025, 2644, 573, 5453, 236772, 5909, 10681, 753, 7660, 3364, 3149, 14929, 15579, 753, 3946, 88209, 11155, 4458, 568, 6329, 236777, 236764, 8080, 236796, 236764, 4044, 2907, 236743, 236800, 236761, 49644, 506, 1903, 236743, 236800, 24461, 607, 506, 1346, 3195, 132409, 528, 672, 15297, 236761, 1701, 1546, 529, 1239, 24461, 236764, 33205, 910, 4133, 8781, 1938, 532, 6054, 236787, 753, 6503, 2425, 568, 5640, 529, 6951, 236768, 753, 21264, 1960, 7095, 753, 13948, 1938, 573, 910, 18341, 7920, 236743, 236812, 236761, 13472, 236764, 8729, 13611, 14906, 573, 506, 14896, 3195, 2436, 528, 1799, 228384, 600, 5132, 236787, 753, 12613, 1548, 529, 1873, 47229, 684, 1159, 236772, 57512, 753, 66175, 5296, 3418, 1607, 2707, 4535, 753, 73888, 5296, 529, 14896, 9569, 2351, 1799, 228384, 1637, 1027, 5904, 2246, 20269, 236764, 2056, 531, 6054, 506, 4400, 532, 6253, 822, 4313, 23577, 236761, 1701, 5705, 236764, 768, 506, 4068, 8038, 5957, 4038, 236789, 236745, 981, 236764, 2056, 1699, 496, 1607, 15241, 3393, 653, 3927, 1941, 236761, 564, 1202, 784, 12396, 13957, 1131, 496, 31044, 2072, 607, 3582, 151289, 1298, 6780, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 827, 623, 3250, 1083, 623, 51551, 15435, 31016, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236800, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 753, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236812, 236810, 236825, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236778, 827, 623, 3250, 1083, 623, 22218, 53277, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236810, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236800, 236771, 236771, 236771, 236771, 753, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236796, 827, 623, 7125, 1083, 623, 35478, 236772, 236796, 663, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236832, 236828, 236819, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236800, 827, 623, 3250, 1083, 623, 6721, 41284, 827, 623, 10618, 1083, 623, 13666, 548, 236785, 236756, 236771, 236771, 236744, 236819, 45018, 827, 623, 53236, 236779, 15979, 1083, 623, 236778, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 753, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236770, 236771, 236770, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236812, 827, 623, 3250, 1083, 623, 1768, 12730, 50895, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236800, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236770, 236771, 236771, 236771, 236771, 753, 236743, 236770, 236812, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 58141, 3814, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236812, 236810, 236825, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236810, 827, 623, 3250, 1083, 623, 21723, 23566, 22279, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236812, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 753, 236743, 236778, 236778, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236796, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236832, 236828, 236819, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236825, 827, 623, 3250, 1083, 623, 2100, 63087, 827, 623, 10618, 1083, 623, 10999, 134398, 827, 623, 53236, 236779, 15979, 1083, 623, 236800, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236812, 236771, 236771, 236771, 236771, 753, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236770, 236770, 236778, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236832, 827, 623, 3250, 1083, 623, 26637, 2009, 41284, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236778, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 753, 236743, 236770, 236825, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236796, 827, 623, 7125, 1083, 623, 11640, 236785, 236756, 236771, 236771, 20204, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236770, 236771, 236770, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236828, 827, 623, 3250, 1083, 623, 94969, 11205, 31016, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236810, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236819, 236771, 236771, 236771, 236771, 753, 236743, 236778, 236812, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236812, 236810, 236825, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236819, 827, 623, 3250, 1083, 623, 4521, 53277, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236800, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236800, 236810, 236771, 236771, 236771, 753, 236743, 236770, 236832, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 84337, 57890, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236832, 236828, 236819, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236771, 827, 623, 3250, 1083, 623, 195044, 41284, 827, 623, 10618, 1083, 623, 13666, 548, 236785, 236756, 236771, 236771, 236744, 236819, 45018, 827, 623, 53236, 236779, 15979, 1083, 623, 236800, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236812, 236810, 236771, 236771, 236771, 753, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236796, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236770, 236771, 236770, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236770, 827, 623, 3250, 1083, 623, 17140, 53277, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236812, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236825, 236771, 236771, 236771, 236771, 753, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236770, 236770, 236778, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236778, 827, 623, 3250, 1083, 623, 1768, 7879, 12062, 827, 623, 10618, 1083, 623, 28502, 827, 623, 53236, 236779, 15979, 1083, 623, 236810, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 753, 236743, 236778, 236810, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236812, 236810, 236825, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236800, 827, 623, 3250, 1083, 623, 40213, 76242, 31016, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236778, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236770, 236810, 236771, 236771, 236771, 753, 236743, 236770, 236812, 236810, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236796, 827, 623, 7125, 1083, 623, 11640, 236785, 236756, 236771, 236771, 20204, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236832, 236828, 236819, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236812, 827, 623, 3250, 1083, 623, 115851, 13000, 31016, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236800, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236832, 236771, 236771, 236771, 236771, 753, 236743, 236778, 236770, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 45582, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236770, 236771, 236770, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236810, 827, 623, 3250, 1083, 623, 58972, 12730, 31016, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236800, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 753, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236770, 236770, 236778, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 547, 1083, 623, 236770, 827, 623, 28555, 500, 1083, 623, 236796, 236785, 236756, 236771, 236771, 236744, 236819, 21526, 9910, 10456, 236772, 10597, 827, 623, 68091, 1083, 623, 137388, 29235, 23316, 827, 623, 157225, 1083, 3714, 6914, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 13647, 1083, 623, 55119, 23179, 623, 2084, 236779, 10953, 502, 1083, 623, 6329, 236777, 827, 623, 99666, 750, 1083, 3714, 1387, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236764, 623, 2074, 1083, 236743, 236778, 236778, 236771, 236771, 236771, 236771, 236764, 623, 5099, 1117, 1083, 623, 236917, 30844, 23179, 623, 34032, 2015, 236779, 2089, 3708, 1083, 11058, 44195, 827, 623, 4740, 236761, 2092, 827, 623, 25730, 827, 623, 133468, 14255, 623, 716, 554, 2015, 1083, 3714, 53236, 1083, 623, 236800, 9898, 7081, 827, 623, 158172, 761, 1083, 623, 167896, 236862, 236800, 181855, 23179, 623, 7777, 1083, 623, 236796, 236785, 236756, 236771, 236771, 236744, 236819, 153483, 513, 236789, 85449, 4108, 1008, 124842, 2637, 72987, 1322, 1099, 1008, 2212, 80376, 827, 623, 1896, 236779, 119789, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 137388, 29235, 23316, 827, 623, 80040, 236779, 2861, 1083, 236743, 236812, 236832, 236764, 623, 15455, 236779, 57512, 1083, 623, 57719, 21785, 827, 623, 2929, 236779, 11607, 1083, 3714, 6774, 1083, 623, 6188, 41270, 1155, 236940, 131016, 17470, 236761, 13107, 827, 623, 5275, 1083, 10955, 236825, 236828, 236832, 236743, 236812, 236810, 236743, 236825, 236832, 236743, 236828, 236819, 23179, 623, 7720, 1083, 623, 236953, 2714, 569, 759, 8475, 703, 236764, 236743, 236819, 236828, 236828, 236771, 236771, 36255, 236757, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 131016, 17470, 236761, 13107, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14557, 236779, 5265, 1013, 236779, 2003, 236779, 2204, 236779, 57512, 1083, 3714, 50581, 236779, 28964, 1083, 236743, 236812, 236778, 236764, 623, 20746, 236779, 138832, 1083, 236743, 236770, 236828, 236764, 623, 1516, 236779, 28263, 1083, 236743, 236778, 236832, 236764, 623, 145978, 11205, 1083, 236743, 236770, 236810, 236764, 623, 1538, 1083, 236743, 236819, 1263, 623, 44884, 236779, 52447, 236779, 2003, 236779, 53236, 1083, 3714, 8482, 236779, 5909, 1083, 3714, 28128, 236779, 1387, 236779, 44884, 1083, 236743, 236800, 236828, 236810, 236771, 236771, 236764, 623, 28128, 236779, 2074, 236779, 44884, 1083, 236743, 236812, 236810, 236778, 236771, 236771, 1263, 623, 6848, 236779, 5909, 1083, 3714, 28128, 236779, 1387, 236779, 44884, 1083, 236743, 236812, 236828, 236771, 236771, 236771, 236764, 623, 28128, 236779, 2074, 236779, 44884, 1083, 236743, 236825, 236778, 236810, 236771, 236771, 1263, 623, 96042, 236779, 5909, 1083, 3714, 28128, 236779, 1387, 236779, 44884, 1083, 236743, 236825, 236810, 236771, 236771, 236771, 236764, 623, 28128, 236779, 2074, 236779, 44884, 1083, 236743, 236828, 236778, 236771, 236771, 236771, 5237, 623, 234863, 236779, 52447, 1083, 3714, 39228, 65222, 1083, 236743, 236832, 236828, 236764, 623, 18280, 236779, 236753, 663, 1083, 236743, 236770, 236778, 236764, 623, 236749, 31262, 1083, 236743, 236825, 236764, 623, 1538, 236779, 21853, 1083, 236743, 236770, 236810, 1263, 623, 60123, 236779, 2084, 236779, 7284, 3843, 1083, 3714, 2692, 236747, 1083, 236743, 236825, 236828, 236764, 623, 236755, 1650, 1083, 236743, 236778, 236778, 236764, 623, 18044, 535, 831, 1083, 236743, 236832, 236764, 623, 24456, 5976, 1083, 236743, 236800, 1263, 623, 16350, 236779, 58043, 236779, 28263, 1083, 3714, 3704, 236779, 1749, 236779, 3704, 236779, 45882, 1083, 236743, 236770, 236812, 236761, 236832, 236764, 623, 3374, 236779, 495, 236779, 54453, 236779, 55283, 1083, 11058, 12138, 236779, 133580, 827, 623, 6719, 236779, 28964, 827, 623, 20746, 236779, 11205, 14255, 623, 28128, 236779, 2289, 236779, 1071, 236779, 6910, 1083, 623, 236778, 236828, 2668, 127096, 106, 107, 105, 4368, 107, 1018, 236794, 167970, 513, 236789, 2267, 42833, 1747, 5261, 236859, 569, 537, 236789, 5493, 675, 5160, 5962, 39747, 696, 99153, 236772, 8571, 5870, 43968, 1018, 138, 108, 7243, 108, 10354, 5213, 236770, 236761, 105839, 853, 5357, 619, 513, 236789, 5493, 675, 5160, 630, 16435, 49913, 8898, 1554, 4382, 1018, 138, 107, 1018, 111463, 12000, 93216, 1875, 1018, 1017, 138, 107, 236772, 13953, 6470, 16272, 1017, 623, 57719, 21785, 236775, 138, 107, 236772, 13642, 37665, 1221, 1117, 1017, 57846, 236743, 236800, 9898, 138, 107, 236772, 85632, 513, 236789, 2865, 619, 1016, 1949, 1017, 5213, 236819, 236786, 236770, 236810, 1018, 568, 20683, 602, 36592, 513, 236789, 7869, 1187, 583, 1640, 101790, 236768, 138, 108, 236909, 5853, 5357, 500, 145, 236909, 225308, 161, 236909, 64052, 750, 568, 236917, 30844, 236768, 143, 236909, 9250, 2969, 5053, 1109, 12263, 5305, 1109, 5853, 29566, 10196, 1109, 138, 107, 236909, 2819, 726, 236909, 2819, 44042, 236909, 2819, 30104, 236909, 29118, 236909, 29118, 236909, 2819, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 1109, 19563, 15435, 31016, 144, 236909, 236743, 236770, 236810, 236771, 236767, 236964, 236778, 236771, 236771, 236767, 147, 236909, 185603, 146, 236909, 36255, 28113, 236746, 143, 236909, 168464, 236772, 236812, 236810, 236825, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236778, 1109, 10981, 53277, 147, 236909, 236743, 236770, 236800, 236771, 236767, 236964, 236770, 236828, 236771, 236767, 147, 236909, 8080, 236796, 146, 236909, 8624, 236772, 236796, 663, 140, 236909, 168464, 236772, 236832, 236828, 236819, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236812, 1109, 9053, 12730, 50895, 147, 236909, 236743, 236770, 236770, 236771, 236767, 236964, 236770, 236812, 236771, 236767, 147, 236909, 185603, 146, 236909, 18587, 3814, 143, 236909, 168464, 236772, 236812, 236810, 236825, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236810, 1109, 16215, 23566, 22279, 143, 236909, 236743, 236770, 236828, 236771, 236767, 236964, 236778, 236778, 236771, 236767, 147, 236909, 8080, 236796, 146, 236909, 36255, 28113, 236746, 143, 236909, 168464, 236772, 236832, 236828, 236819, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236828, 1109, 180816, 31016, 146, 236909, 236743, 236770, 236819, 236771, 236767, 236964, 236778, 236812, 236771, 236767, 147, 236909, 185603, 146, 236909, 36255, 28113, 236746, 143, 236909, 168464, 236772, 236812, 236810, 236825, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236819, 1109, 1804, 53277, 148, 236909, 236743, 236770, 236800, 236810, 236767, 236964, 236770, 236832, 236771, 236767, 147, 236909, 185603, 146, 236909, 25012, 57890, 142, 236909, 168464, 236772, 236832, 236828, 236819, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236770, 1109, 23260, 53277, 146, 236909, 236743, 236770, 236825, 236771, 236767, 236964, 236778, 236771, 236771, 236767, 147, 236909, 185603, 146, 236909, 36255, 28113, 236746, 143, 236909, 168464, 236772, 236770, 236770, 236778, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236812, 1109, 141269, 13000, 31016, 143, 236909, 236743, 236770, 236832, 236771, 236767, 236964, 236778, 236770, 236771, 236767, 147, 236909, 185603, 146, 236909, 14048, 236859, 145, 236909, 168464, 236772, 236770, 236771, 236770, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236810, 1109, 22202, 12730, 31016, 142, 236909, 236743, 236770, 236778, 236771, 236767, 236964, 236770, 236810, 236771, 236767, 147, 236909, 185603, 146, 236909, 36255, 28113, 236746, 143, 236909, 168464, 236772, 236770, 236770, 236778, 144, 236909, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 211626, 2529, 853, 6531, 507, 5962, 58970, 1018, 138, 107, 2595, 5213, 106918, 750, 194191, 2637, 1640, 6531, 507, 4471, 98448, 3741, 568, 41210, 236772, 9501, 62902, 138, 107, 236772, 5213, 26391, 147969, 56206, 1018, 1017, 5213, 236917, 30844, 236743, 236770, 236812, 236810, 236764, 236771, 236771, 236771, 236964, 236770, 236828, 236810, 236764, 236771, 236771, 236771, 236786, 508, 1018, 138, 107, 138, 236769, 22304, 236859, 1608, 15263, 853, 121747, 4902, 623, 70209, 1221, 1117, 236775, 4154, 236743, 236800, 1008, 236743, 236810, 9898, 769, 138, 108, 2595, 5213, 57643, 1283, 569, 81467, 567, 1276, 13155, 1018, 138, 107, 236772, 5213, 8534, 236743, 236810, 1018, 1017, 20737, 568, 236828, 236819, 28585, 17856, 568, 236832, 236828, 28585, 11246, 568, 236825, 236832, 28585, 565, 2124, 568, 236810, 236825, 28585, 15963, 568, 236810, 236771, 37507, 138, 108, 2595, 5213, 12285, 569, 2969, 61782, 1018, 138, 107, 236772, 5213, 70617, 46043, 1018, 1017, 138, 107, 138, 236772, 185603, 1017, 236743, 236825, 236832, 236908, 568, 236825, 236786, 236819, 236768, 138, 107, 138, 236772, 8080, 236796, 1017, 236743, 236800, 236800, 236908, 568, 236800, 236786, 236819, 236768, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 8231, 236743, 236800, 21454, 19911, 696, 133089, 1018, 138, 107, 2595, 5213, 149951, 658, 944, 85632, 513, 236789, 8565, 619, 1018, 138, 107, 236770, 236761, 5213, 202777, 236772, 236812, 236810, 236825, 1018, 568, 236800, 121747, 236768, 138, 107, 236778, 236761, 5213, 202777, 236772, 236832, 236828, 236819, 1018, 568, 236800, 121747, 236768, 138, 107, 236800, 236761, 5213, 202777, 236772, 236770, 236770, 236778, 1018, 568, 236778, 121747, 236768, 138, 108, 2595, 5213, 85659, 236751, 853, 21454, 19911, 1018, 138, 107, 1018, 236770, 236761, 46627, 29235, 23316, 568, 202777, 236772, 236812, 236810, 236825, 62902, 138, 107, 236772, 5213, 236774, 43973, 1018, 1017, 236743, 236812, 236832, 102373, 138, 107, 236772, 5213, 236773, 717, 9910, 34925, 1018, 1017, 24326, 21785, 138, 107, 236772, 5213, 11431, 55360, 1018, 1017, 138, 107, 138, 236772, 19955, 1017, 225297, 236940, 131016, 17470, 236761, 13107, 138, 107, 138, 236772, 129757, 5275, 1017, 900, 236825, 236828, 236832, 236743, 236812, 236810, 236743, 236825, 236832, 236743, 236828, 236819, 138, 108, 1018, 236778, 236761, 168464, 236772, 236832, 236828, 236819, 1018, 138, 107, 236772, 5213, 236774, 43973, 1018, 1017, 10645, 52500, 54410, 568, 13246, 69266, 135477, 74871, 769, 138, 107, 236772, 5213, 236773, 717, 9910, 34925, 1018, 1017, 24326, 21785, 236761, 138, 107, 236772, 5213, 11431, 55360, 1018, 1017, 28581, 157393, 4323, 3037, 32521, 100274, 8189, 236761, 138, 108, 1018, 236800, 236761, 168464, 236772, 236770, 236770, 236778, 1018, 138, 107, 236772, 5213, 236774, 43973, 1018, 1017, 10645, 52500, 54410, 568, 13246, 69266, 135477, 74871, 769, 138, 107, 236772, 5213, 236773, 717, 9910, 34925, 1018, 1017, 24326, 21785, 236761, 138, 107, 236772, 5213, 11431, 55360, 1018, 1017, 28581, 157393, 4323, 3037, 32521, 100274, 8189, 236761, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 125977, 4571, 11250, 507, 1747, 5261, 236859, 5962, 39747, 1018, 138, 107, 2595, 5213, 42371, 513, 236789, 8565, 619, 944, 73845, 236772, 236773, 717, 9910, 1018, 138, 107, 236909, 73845, 236772, 236773, 717, 9910, 149, 236909, 85632, 513, 236789, 8565, 619, 1109, 138, 107, 236909, 2819, 40686, 236909, 2819, 119434, 138, 107, 236909, 234746, 47223, 1102, 138, 236909, 236743, 236812, 236778, 150, 236909, 138, 107, 236909, 49598, 28537, 155185, 139, 236909, 236743, 236770, 236828, 150, 236909, 138, 107, 236909, 105839, 569, 5185, 69266, 142, 236909, 236743, 236778, 236832, 150, 236909, 138, 107, 236909, 14554, 1962, 236859, 166239, 147, 236909, 236743, 236770, 236810, 150, 236909, 138, 107, 236909, 203479, 154, 236909, 236743, 236819, 151, 236909, 138, 108, 2595, 5213, 59483, 853, 6319, 8303, 944, 188344, 513, 236789, 10174, 37665, 1018, 138, 107, 236909, 188344, 513, 236789, 10174, 37665, 1109, 64052, 750, 38232, 194191, 568, 236917, 30844, 236768, 1109, 64052, 750, 38084, 194191, 568, 236917, 30844, 236768, 1109, 138, 107, 236909, 2819, 30104, 236909, 2819, 43386, 236909, 2819, 43386, 236909, 138, 107, 236909, 29576, 150, 236909, 236743, 236800, 236828, 236764, 236810, 236771, 236771, 158, 236909, 236743, 236812, 236810, 236764, 236778, 236771, 236771, 158, 236909, 138, 107, 236909, 4471, 129715, 143, 236909, 236743, 236812, 236828, 236764, 236771, 236771, 236771, 158, 236909, 236743, 236825, 236778, 236764, 236810, 236771, 236771, 158, 236909, 138, 107, 236909, 19563, 150, 236909, 236743, 236825, 236810, 236764, 236771, 236771, 236771, 158, 236909, 236743, 236828, 236778, 236764, 236771, 236771, 236771, 158, 236909, 138, 108, 2595, 5213, 70617, 46043, 96795, 87751, 1018, 138, 107, 236772, 5213, 136349, 28113, 236746, 1018, 1017, 236743, 236832, 236828, 236908, 853, 167542, 1991, 58970, 236761, 138, 107, 236772, 5213, 224894, 782, 13618, 1018, 1017, 8624, 236772, 236796, 663, 568, 236770, 236778, 28585, 646, 31262, 568, 236825, 28585, 19701, 568, 236770, 236810, 37507, 138, 108, 2595, 5213, 234955, 2499, 1747, 5261, 236859, 1018, 138, 107, 236772, 5213, 52341, 16346, 179363, 1018, 1017, 900, 236770, 236812, 236761, 236832, 9525, 138, 107, 236772, 5213, 8891, 3619, 2015, 1640, 2915, 5056, 4382, 1018, 1017, 16215, 51581, 236764, 17856, 236764, 40045, 166239, 28537, 155185, 236761, 138, 107, 236772, 5213, 11499, 975, 32964, 2637, 2637, 22994, 723, 70597, 1018, 1017, 236743, 236778, 236828, 25158, 236761, 138, 108, 7243, 108, 10354, 5213, 236810, 236761, 1276, 7674, 847, 1018, 138, 107, 236772, 5213, 32556, 1640, 176040, 1018, 1017, 1339, 37429, 7648, 696, 5213, 12138, 20124, 1018, 1008, 5213, 3281, 1962, 236859, 166239, 1018, 2637, 14056, 7648, 1640, 3720, 15182, 236761, 138, 107, 236772, 5213, 32556, 1640, 1125, 236750, 60422, 1018, 1017, 36255, 28113, 236746, 34133, 674, 15039, 1991, 39747, 113752, 236764, 4522, 853, 3720, 15182, 107841, 2880, 1640, 84153, 123557, 93011, 568, 716, 236761, 14048, 236859, 236764, 25012, 57890, 769, 138, 108, 7243, 236743, 108, 1018, 20216, 45492, 555, 28142, 113120, 1018, 1017, 138, 107, 236772, 39102, 1336, 228627, 2637, 759, 138225, 853, 14940, 236772, 8210, 19911, 236761, 138, 107, 236772, 170894, 1336, 853, 2095, 8303, 944, 31118, 513, 236789, 70209, 236761, 138, 107, 236772, 167070, 167208, 853, 121747, 944, 28480, 236761, 138, 108, 236829, 8993, 69266, 108917, 1608, 4358, 3229, 236743, 236778, 236771, 236778, 236812, 9603, 106, 107, 105, 2364, 107, 236863, 236789, 1389, 213331, 929, 2637, 9708 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 18840, 506, 1873, 3195, 2436, 528, 1799, 228384, 236789, 236751, 14896, 7095, 573, 496, 2958, 2203, 236761, 5715, 236789, 236751, 1217, 564, 1461, 611, 531, 4313, 672, 236787, 236743, 236770, 236761, 5315, 236764, 33205, 506, 236743, 236770, 236810, 1346, 4803, 3195, 38332, 699, 506, 1799, 228384, 11155, 9299, 236761, 28293, 1239, 531, 1186, 3204, 10681, 528, 506, 623, 57719, 21785, 236775, 8038, 600, 1660, 657, 3198, 236743, 236800, 1518, 529, 2707, 236761, 1637, 672, 7623, 18661, 1082, 236743, 236810, 4341, 10681, 236764, 6778, 506, 3927, 531, 3204, 784, 14896, 236772, 10619, 12669, 236761, 236743, 236778, 236761, 1701, 1546, 4341, 3195, 25035, 611, 1586, 236764, 8430, 506, 3195, 2729, 31744, 532, 1161, 625, 531, 33205, 9813, 1938, 1003, 1546, 2939, 236761, 4934, 1239, 4889, 236764, 25774, 236787, 753, 29748, 17025, 2644, 573, 5453, 236772, 5909, 10681, 753, 7660, 3364, 3149, 14929, 15579, 753, 3946, 88209, 11155, 4458, 568, 6329, 236777, 236764, 8080, 236796, 236764, 4044, 2907, 236743, 236800, 236761, 49644, 506, 1903, 236743, 236800, 24461, 607, 506, 1346, 3195, 132409, 528, 672, 15297, 236761, 1701, 1546, 529, 1239, 24461, 236764, 33205, 910, 4133, 8781, 1938, 532, 6054, 236787, 753, 6503, 2425, 568, 5640, 529, 6951, 236768, 753, 21264, 1960, 7095, 753, 13948, 1938, 573, 910, 18341, 7920, 236743, 236812, 236761, 13472, 236764, 8729, 13611, 14906, 573, 506, 14896, 3195, 2436, 528, 1799, 228384, 600, 5132, 236787, 753, 12613, 1548, 529, 1873, 47229, 684, 1159, 236772, 57512, 753, 66175, 5296, 3418, 1607, 2707, 4535, 753, 73888, 5296, 529, 14896, 9569, 2351, 1799, 228384, 1637, 1027, 5904, 2246, 20269, 236764, 2056, 531, 6054, 506, 4400, 532, 6253, 822, 4313, 23577, 236761, 1701, 5705, 236764, 768, 506, 4068, 8038, 5957, 4038, 236789, 236745, 981, 236764, 2056, 1699, 496, 1607, 15241, 3393, 653, 3927, 1941, 236761, 564, 1202, 784, 12396, 13957, 1131, 496, 31044, 2072, 607, 3582, 151289, 1298, 6780, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 827, 623, 3250, 1083, 623, 51551, 15435, 31016, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236800, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 753, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236812, 236810, 236825, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236778, 827, 623, 3250, 1083, 623, 22218, 53277, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236810, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236800, 236771, 236771, 236771, 236771, 753, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236796, 827, 623, 7125, 1083, 623, 35478, 236772, 236796, 663, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236832, 236828, 236819, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236800, 827, 623, 3250, 1083, 623, 6721, 41284, 827, 623, 10618, 1083, 623, 13666, 548, 236785, 236756, 236771, 236771, 236744, 236819, 45018, 827, 623, 53236, 236779, 15979, 1083, 623, 236778, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 753, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236770, 236771, 236770, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236812, 827, 623, 3250, 1083, 623, 1768, 12730, 50895, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236800, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236770, 236771, 236771, 236771, 236771, 753, 236743, 236770, 236812, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 58141, 3814, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236812, 236810, 236825, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236810, 827, 623, 3250, 1083, 623, 21723, 23566, 22279, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236812, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 753, 236743, 236778, 236778, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236796, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236832, 236828, 236819, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236825, 827, 623, 3250, 1083, 623, 2100, 63087, 827, 623, 10618, 1083, 623, 10999, 134398, 827, 623, 53236, 236779, 15979, 1083, 623, 236800, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236812, 236771, 236771, 236771, 236771, 753, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236770, 236770, 236778, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236832, 827, 623, 3250, 1083, 623, 26637, 2009, 41284, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236778, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 753, 236743, 236770, 236825, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236796, 827, 623, 7125, 1083, 623, 11640, 236785, 236756, 236771, 236771, 20204, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236770, 236771, 236770, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236828, 827, 623, 3250, 1083, 623, 94969, 11205, 31016, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236810, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236819, 236771, 236771, 236771, 236771, 753, 236743, 236778, 236812, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236812, 236810, 236825, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236819, 827, 623, 3250, 1083, 623, 4521, 53277, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236800, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236800, 236810, 236771, 236771, 236771, 753, 236743, 236770, 236832, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 84337, 57890, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236832, 236828, 236819, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236771, 827, 623, 3250, 1083, 623, 195044, 41284, 827, 623, 10618, 1083, 623, 13666, 548, 236785, 236756, 236771, 236771, 236744, 236819, 45018, 827, 623, 53236, 236779, 15979, 1083, 623, 236800, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236812, 236810, 236771, 236771, 236771, 753, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236796, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236770, 236771, 236770, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236770, 827, 623, 3250, 1083, 623, 17140, 53277, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236812, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236825, 236771, 236771, 236771, 236771, 753, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236770, 236770, 236778, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236778, 827, 623, 3250, 1083, 623, 1768, 7879, 12062, 827, 623, 10618, 1083, 623, 28502, 827, 623, 53236, 236779, 15979, 1083, 623, 236810, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 753, 236743, 236778, 236810, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236812, 236810, 236825, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236800, 827, 623, 3250, 1083, 623, 40213, 76242, 31016, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236778, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236770, 236810, 236771, 236771, 236771, 753, 236743, 236770, 236812, 236810, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236796, 827, 623, 7125, 1083, 623, 11640, 236785, 236756, 236771, 236771, 20204, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236832, 236828, 236819, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236812, 827, 623, 3250, 1083, 623, 115851, 13000, 31016, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236800, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236832, 236771, 236771, 236771, 236771, 753, 236743, 236778, 236770, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 45582, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236770, 236771, 236770, 25938, 107, 14937, 14557, 236779, 547, 1083, 623, 10284, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236810, 827, 623, 3250, 1083, 623, 58972, 12730, 31016, 827, 623, 10618, 1083, 623, 57719, 21785, 827, 623, 53236, 236779, 15979, 1083, 623, 236800, 1518, 827, 623, 44884, 236779, 8572, 1083, 623, 236917, 30844, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 753, 236743, 236770, 236810, 236771, 236771, 236771, 236771, 827, 623, 60123, 236779, 2084, 1083, 623, 6329, 236777, 827, 623, 7125, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 25385, 236779, 547, 1083, 623, 202777, 236772, 236770, 236770, 236778, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 547, 1083, 623, 236770, 827, 623, 28555, 500, 1083, 623, 236796, 236785, 236756, 236771, 236771, 236744, 236819, 21526, 9910, 10456, 236772, 10597, 827, 623, 68091, 1083, 623, 137388, 29235, 23316, 827, 623, 157225, 1083, 3714, 6914, 1083, 623, 236797, 89421, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 13647, 1083, 623, 55119, 23179, 623, 2084, 236779, 10953, 502, 1083, 623, 6329, 236777, 827, 623, 99666, 750, 1083, 3714, 1387, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236764, 623, 2074, 1083, 236743, 236778, 236778, 236771, 236771, 236771, 236771, 236764, 623, 5099, 1117, 1083, 623, 236917, 30844, 23179, 623, 34032, 2015, 236779, 2089, 3708, 1083, 11058, 44195, 827, 623, 4740, 236761, 2092, 827, 623, 25730, 827, 623, 133468, 14255, 623, 716, 554, 2015, 1083, 3714, 53236, 1083, 623, 236800, 9898, 7081, 827, 623, 158172, 761, 1083, 623, 167896, 236862, 236800, 181855, 23179, 623, 7777, 1083, 623, 236796, 236785, 236756, 236771, 236771, 236744, 236819, 153483, 513, 236789, 85449, 4108, 1008, 124842, 2637, 72987, 1322, 1099, 1008, 2212, 80376, 827, 623, 1896, 236779, 119789, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 236779, 1201, 1083, 623, 137388, 29235, 23316, 827, 623, 80040, 236779, 2861, 1083, 236743, 236812, 236832, 236764, 623, 15455, 236779, 57512, 1083, 623, 57719, 21785, 827, 623, 2929, 236779, 11607, 1083, 3714, 6774, 1083, 623, 6188, 41270, 1155, 236940, 131016, 17470, 236761, 13107, 827, 623, 5275, 1083, 10955, 236825, 236828, 236832, 236743, 236812, 236810, 236743, 236825, 236832, 236743, 236828, 236819, 23179, 623, 7720, 1083, 623, 236953, 2714, 569, 759, 8475, 703, 236764, 236743, 236819, 236828, 236828, 236771, 236771, 36255, 236757, 236785, 236756, 236771, 236771, 236744, 236819, 236746, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 131016, 17470, 236761, 13107, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14557, 236779, 5265, 1013, 236779, 2003, 236779, 2204, 236779, 57512, 1083, 3714, 50581, 236779, 28964, 1083, 236743, 236812, 236778, 236764, 623, 20746, 236779, 138832, 1083, 236743, 236770, 236828, 236764, 623, 1516, 236779, 28263, 1083, 236743, 236778, 236832, 236764, 623, 145978, 11205, 1083, 236743, 236770, 236810, 236764, 623, 1538, 1083, 236743, 236819, 1263, 623, 44884, 236779, 52447, 236779, 2003, 236779, 53236, 1083, 3714, 8482, 236779, 5909, 1083, 3714, 28128, 236779, 1387, 236779, 44884, 1083, 236743, 236800, 236828, 236810, 236771, 236771, 236764, 623, 28128, 236779, 2074, 236779, 44884, 1083, 236743, 236812, 236810, 236778, 236771, 236771, 1263, 623, 6848, 236779, 5909, 1083, 3714, 28128, 236779, 1387, 236779, 44884, 1083, 236743, 236812, 236828, 236771, 236771, 236771, 236764, 623, 28128, 236779, 2074, 236779, 44884, 1083, 236743, 236825, 236778, 236810, 236771, 236771, 1263, 623, 96042, 236779, 5909, 1083, 3714, 28128, 236779, 1387, 236779, 44884, 1083, 236743, 236825, 236810, 236771, 236771, 236771, 236764, 623, 28128, 236779, 2074, 236779, 44884, 1083, 236743, 236828, 236778, 236771, 236771, 236771, 5237, 623, 234863, 236779, 52447, 1083, 3714, 39228, 65222, 1083, 236743, 236832, 236828, 236764, 623, 18280, 236779, 236753, 663, 1083, 236743, 236770, 236778, 236764, 623, 236749, 31262, 1083, 236743, 236825, 236764, 623, 1538, 236779, 21853, 1083, 236743, 236770, 236810, 1263, 623, 60123, 236779, 2084, 236779, 7284, 3843, 1083, 3714, 2692, 236747, 1083, 236743, 236825, 236828, 236764, 623, 236755, 1650, 1083, 236743, 236778, 236778, 236764, 623, 18044, 535, 831, 1083, 236743, 236832, 236764, 623, 24456, 5976, 1083, 236743, 236800, 1263, 623, 16350, 236779, 58043, 236779, 28263, 1083, 3714, 3704, 236779, 1749, 236779, 3704, 236779, 45882, 1083, 236743, 236770, 236812, 236761, 236832, 236764, 623, 3374, 236779, 495, 236779, 54453, 236779, 55283, 1083, 11058, 12138, 236779, 133580, 827, 623, 6719, 236779, 28964, 827, 623, 20746, 236779, 11205, 14255, 623, 28128, 236779, 2289, 236779, 1071, 236779, 6910, 1083, 623, 236778, 236828, 2668, 127096, 106, 107, 105, 4368, 107, 1018, 236794, 167970, 513, 236789, 2267, 42833, 1747, 5261, 236859, 569, 537, 236789, 5493, 675, 5160, 5962, 39747, 696, 99153, 236772, 8571, 5870, 43968, 1018, 138, 108, 7243, 108, 10354, 5213, 236770, 236761, 105839, 853, 5357, 619, 513, 236789, 5493, 675, 5160, 630, 16435, 49913, 8898, 1554, 4382, 1018, 138, 107, 1018, 111463, 12000, 93216, 1875, 1018, 1017, 138, 107, 236772, 13953, 6470, 16272, 1017, 623, 57719, 21785, 236775, 138, 107, 236772, 13642, 37665, 1221, 1117, 1017, 57846, 236743, 236800, 9898, 138, 107, 236772, 85632, 513, 236789, 2865, 619, 1016, 1949, 1017, 5213, 236819, 236786, 236770, 236810, 1018, 568, 20683, 602, 36592, 513, 236789, 7869, 1187, 583, 1640, 101790, 236768, 138, 108, 236909, 5853, 5357, 500, 145, 236909, 225308, 161, 236909, 64052, 750, 568, 236917, 30844, 236768, 143, 236909, 9250, 2969, 5053, 1109, 12263, 5305, 1109, 5853, 29566, 10196, 1109, 138, 107, 236909, 2819, 726, 236909, 2819, 44042, 236909, 2819, 30104, 236909, 29118, 236909, 29118, 236909, 2819, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 1109, 19563, 15435, 31016, 144, 236909, 236743, 236770, 236810, 236771, 236767, 236964, 236778, 236771, 236771, 236767, 147, 236909, 185603, 146, 236909, 36255, 28113, 236746, 143, 236909, 168464, 236772, 236812, 236810, 236825, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236778, 1109, 10981, 53277, 147, 236909, 236743, 236770, 236800, 236771, 236767, 236964, 236770, 236828, 236771, 236767, 147, 236909, 8080, 236796, 146, 236909, 8624, 236772, 236796, 663, 140, 236909, 168464, 236772, 236832, 236828, 236819, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236812, 1109, 9053, 12730, 50895, 147, 236909, 236743, 236770, 236770, 236771, 236767, 236964, 236770, 236812, 236771, 236767, 147, 236909, 185603, 146, 236909, 18587, 3814, 143, 236909, 168464, 236772, 236812, 236810, 236825, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236810, 1109, 16215, 23566, 22279, 143, 236909, 236743, 236770, 236828, 236771, 236767, 236964, 236778, 236778, 236771, 236767, 147, 236909, 8080, 236796, 146, 236909, 36255, 28113, 236746, 143, 236909, 168464, 236772, 236832, 236828, 236819, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236828, 1109, 180816, 31016, 146, 236909, 236743, 236770, 236819, 236771, 236767, 236964, 236778, 236812, 236771, 236767, 147, 236909, 185603, 146, 236909, 36255, 28113, 236746, 143, 236909, 168464, 236772, 236812, 236810, 236825, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236819, 1109, 1804, 53277, 148, 236909, 236743, 236770, 236800, 236810, 236767, 236964, 236770, 236832, 236771, 236767, 147, 236909, 185603, 146, 236909, 25012, 57890, 142, 236909, 168464, 236772, 236832, 236828, 236819, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236770, 1109, 23260, 53277, 146, 236909, 236743, 236770, 236825, 236771, 236767, 236964, 236778, 236771, 236771, 236767, 147, 236909, 185603, 146, 236909, 36255, 28113, 236746, 143, 236909, 168464, 236772, 236770, 236770, 236778, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236812, 1109, 141269, 13000, 31016, 143, 236909, 236743, 236770, 236832, 236771, 236767, 236964, 236778, 236770, 236771, 236767, 147, 236909, 185603, 146, 236909, 14048, 236859, 145, 236909, 168464, 236772, 236770, 236771, 236770, 144, 236909, 138, 107, 236909, 23316, 236772, 136383, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236810, 1109, 22202, 12730, 31016, 142, 236909, 236743, 236770, 236778, 236771, 236767, 236964, 236770, 236810, 236771, 236767, 147, 236909, 185603, 146, 236909, 36255, 28113, 236746, 143, 236909, 168464, 236772, 236770, 236770, 236778, 144, 236909, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 211626, 2529, 853, 6531, 507, 5962, 58970, 1018, 138, 107, 2595, 5213, 106918, 750, 194191, 2637, 1640, 6531, 507, 4471, 98448, 3741, 568, 41210, 236772, 9501, 62902, 138, 107, 236772, 5213, 26391, 147969, 56206, 1018, 1017, 5213, 236917, 30844, 236743, 236770, 236812, 236810, 236764, 236771, 236771, 236771, 236964, 236770, 236828, 236810, 236764, 236771, 236771, 236771, 236786, 508, 1018, 138, 107, 138, 236769, 22304, 236859, 1608, 15263, 853, 121747, 4902, 623, 70209, 1221, 1117, 236775, 4154, 236743, 236800, 1008, 236743, 236810, 9898, 769, 138, 108, 2595, 5213, 57643, 1283, 569, 81467, 567, 1276, 13155, 1018, 138, 107, 236772, 5213, 8534, 236743, 236810, 1018, 1017, 20737, 568, 236828, 236819, 28585, 17856, 568, 236832, 236828, 28585, 11246, 568, 236825, 236832, 28585, 565, 2124, 568, 236810, 236825, 28585, 15963, 568, 236810, 236771, 37507, 138, 108, 2595, 5213, 12285, 569, 2969, 61782, 1018, 138, 107, 236772, 5213, 70617, 46043, 1018, 1017, 138, 107, 138, 236772, 185603, 1017, 236743, 236825, 236832, 236908, 568, 236825, 236786, 236819, 236768, 138, 107, 138, 236772, 8080, 236796, 1017, 236743, 236800, 236800, 236908, 568, 236800, 236786, 236819, 236768, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 8231, 236743, 236800, 21454, 19911, 696, 133089, 1018, 138, 107, 2595, 5213, 149951, 658, 944, 85632, 513, 236789, 8565, 619, 1018, 138, 107, 236770, 236761, 5213, 202777, 236772, 236812, 236810, 236825, 1018, 568, 236800, 121747, 236768, 138, 107, 236778, 236761, 5213, 202777, 236772, 236832, 236828, 236819, 1018, 568, 236800, 121747, 236768, 138, 107, 236800, 236761, 5213, 202777, 236772, 236770, 236770, 236778, 1018, 568, 236778, 121747, 236768, 138, 108, 2595, 5213, 85659, 236751, 853, 21454, 19911, 1018, 138, 107, 1018, 236770, 236761, 46627, 29235, 23316, 568, 202777, 236772, 236812, 236810, 236825, 62902, 138, 107, 236772, 5213, 236774, 43973, 1018, 1017, 236743, 236812, 236832, 102373, 138, 107, 236772, 5213, 236773, 717, 9910, 34925, 1018, 1017, 24326, 21785, 138, 107, 236772, 5213, 11431, 55360, 1018, 1017, 138, 107, 138, 236772, 19955, 1017, 225297, 236940, 131016, 17470, 236761, 13107, 138, 107, 138, 236772, 129757, 5275, 1017, 900, 236825, 236828, 236832, 236743, 236812, 236810, 236743, 236825, 236832, 236743, 236828, 236819, 138, 108, 1018, 236778, 236761, 168464, 236772, 236832, 236828, 236819, 1018, 138, 107, 236772, 5213, 236774, 43973, 1018, 1017, 10645, 52500, 54410, 568, 13246, 69266, 135477, 74871, 769, 138, 107, 236772, 5213, 236773, 717, 9910, 34925, 1018, 1017, 24326, 21785, 236761, 138, 107, 236772, 5213, 11431, 55360, 1018, 1017, 28581, 157393, 4323, 3037, 32521, 100274, 8189, 236761, 138, 108, 1018, 236800, 236761, 168464, 236772, 236770, 236770, 236778, 1018, 138, 107, 236772, 5213, 236774, 43973, 1018, 1017, 10645, 52500, 54410, 568, 13246, 69266, 135477, 74871, 769, 138, 107, 236772, 5213, 236773, 717, 9910, 34925, 1018, 1017, 24326, 21785, 236761, 138, 107, 236772, 5213, 11431, 55360, 1018, 1017, 28581, 157393, 4323, 3037, 32521, 100274, 8189, 236761, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 125977, 4571, 11250, 507, 1747, 5261, 236859, 5962, 39747, 1018, 138, 107, 2595, 5213, 42371, 513, 236789, 8565, 619, 944, 73845, 236772, 236773, 717, 9910, 1018, 138, 107, 236909, 73845, 236772, 236773, 717, 9910, 149, 236909, 85632, 513, 236789, 8565, 619, 1109, 138, 107, 236909, 2819, 40686, 236909, 2819, 119434, 138, 107, 236909, 234746, 47223, 1102, 138, 236909, 236743, 236812, 236778, 150, 236909, 138, 107, 236909, 49598, 28537, 155185, 139, 236909, 236743, 236770, 236828, 150, 236909, 138, 107, 236909, 105839, 569, 5185, 69266, 142, 236909, 236743, 236778, 236832, 150, 236909, 138, 107, 236909, 14554, 1962, 236859, 166239, 147, 236909, 236743, 236770, 236810, 150, 236909, 138, 107, 236909, 203479, 154, 236909, 236743, 236819, 151, 236909, 138, 108, 2595, 5213, 59483, 853, 6319, 8303, 944, 188344, 513, 236789, 10174, 37665, 1018, 138, 107, 236909, 188344, 513, 236789, 10174, 37665, 1109, 64052, 750, 38232, 194191, 568, 236917, 30844, 236768, 1109, 64052, 750, 38084, 194191, 568, 236917, 30844, 236768, 1109, 138, 107, 236909, 2819, 30104, 236909, 2819, 43386, 236909, 2819, 43386, 236909, 138, 107, 236909, 29576, 150, 236909, 236743, 236800, 236828, 236764, 236810, 236771, 236771, 158, 236909, 236743, 236812, 236810, 236764, 236778, 236771, 236771, 158, 236909, 138, 107, 236909, 4471, 129715, 143, 236909, 236743, 236812, 236828, 236764, 236771, 236771, 236771, 158, 236909, 236743, 236825, 236778, 236764, 236810, 236771, 236771, 158, 236909, 138, 107, 236909, 19563, 150, 236909, 236743, 236825, 236810, 236764, 236771, 236771, 236771, 158, 236909, 236743, 236828, 236778, 236764, 236771, 236771, 236771, 158, 236909, 138, 108, 2595, 5213, 70617, 46043, 96795, 87751, 1018, 138, 107, 236772, 5213, 136349, 28113, 236746, 1018, 1017, 236743, 236832, 236828, 236908, 853, 167542, 1991, 58970, 236761, 138, 107, 236772, 5213, 224894, 782, 13618, 1018, 1017, 8624, 236772, 236796, 663, 568, 236770, 236778, 28585, 646, 31262, 568, 236825, 28585, 19701, 568, 236770, 236810, 37507, 138, 108, 2595, 5213, 234955, 2499, 1747, 5261, 236859, 1018, 138, 107, 236772, 5213, 52341, 16346, 179363, 1018, 1017, 900, 236770, 236812, 236761, 236832, 9525, 138, 107, 236772, 5213, 8891, 3619, 2015, 1640, 2915, 5056, 4382, 1018, 1017, 16215, 51581, 236764, 17856, 236764, 40045, 166239, 28537, 155185, 236761, 138, 107, 236772, 5213, 11499, 975, 32964, 2637, 2637, 22994, 723, 70597, 1018, 1017, 236743, 236778, 236828, 25158, 236761, 138, 108, 7243, 108, 10354, 5213, 236810, 236761, 1276, 7674, 847, 1018, 138, 107, 236772, 5213, 32556, 1640, 176040, 1018, 1017, 1339, 37429, 7648, 696, 5213, 12138, 20124, 1018, 1008, 5213, 3281, 1962, 236859, 166239, 1018, 2637, 14056, 7648, 1640, 3720, 15182, 236761, 138, 107, 236772, 5213, 32556, 1640, 1125, 236750, 60422, 1018, 1017, 36255, 28113, 236746, 34133, 674, 15039, 1991, 39747, 113752, 236764, 4522, 853, 3720, 15182, 107841, 2880, 1640, 84153, 123557, 93011, 568, 716, 236761, 14048, 236859, 236764, 25012, 57890, 769, 138, 108, 7243, 236743, 108, 1018, 20216, 45492, 555, 28142, 113120, 1018, 1017, 138, 107, 236772, 39102, 1336, 228627, 2637, 759, 138225, 853, 14940, 236772, 8210, 19911, 236761, 138, 107, 236772, 170894, 1336, 853, 2095, 8303, 944, 31118, 513, 236789, 70209, 236761, 138, 107, 236772, 167070, 167208, 853, 121747, 944, 28480, 236761, 138, 108, 236829, 8993, 69266, 108917, 1608, 4358, 3229, 236743, 236778, 236771, 236778, 236812, 9603, 106, 107, 105, 2364, 107, 236863, 236789, 1389, 213331, 929, 2637, 9708 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 6250, 1041, 1852, 2268, 12325, 2509, 532, 1202, 1070, 28597, 236772, 18865, 14767, 600, 2810, 236789, 236745, 2541, 506, 4856, 236761, 7129, 1535, 7715, 236772, 18865, 4896, 31929, 236764, 784, 236772, 48009, 15414, 236764, 532, 187110, 139267, 2487, 528, 13574, 236881, 77773, 5906, 564, 740, 974, 2180, 12631, 5384, 2338, 564, 236789, 236757, 2721, 528, 16503, 236761, 3551, 1171, 2321, 7391, 659, 528, 506, 2433, 236764, 834, 564, 44534, 2514, 625, 2263, 532, 17075, 573, 1492, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 547, 1083, 623, 15981, 236779, 41255, 236770, 236771, 236770, 827, 623, 1201, 1083, 623, 147716, 39446, 25171, 833, 31937, 119544, 827, 623, 9707, 1083, 236743, 236812, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 56003, 236772, 5140, 4896, 31929, 607, 47434, 5250, 24911, 236764, 236743, 236770, 236825, 5903, 15414, 11988, 236761, 10645, 236772, 72401, 532, 106326, 10498, 623, 495, 236779, 14973, 1083, 1847, 236764, 623, 6047, 236779, 83625, 1083, 1847, 236764, 623, 6457, 236779, 7125, 1083, 623, 85391, 236764, 28963, 568, 7765, 6718, 13516, 16291, 1263, 3714, 547, 1083, 623, 15981, 236779, 10671, 236778, 236771, 236778, 827, 623, 1201, 1083, 623, 17224, 185350, 2343, 236772, 72655, 119544, 827, 623, 9707, 1083, 236743, 236825, 236761, 236778, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 27915, 236772, 36593, 31929, 573, 103488, 236764, 26273, 236764, 532, 11665, 236761, 21757, 607, 48399, 532, 31255, 23198, 10498, 623, 495, 236779, 14973, 1083, 1847, 236764, 623, 6047, 236779, 83625, 1083, 1847, 236764, 623, 6457, 236779, 7125, 1083, 623, 85391, 236764, 28963, 568, 170425, 92723, 16291, 1263, 3714, 547, 1083, 623, 15981, 236779, 27621, 236800, 236771, 236800, 827, 623, 1201, 1083, 623, 147716, 36887, 62031, 88765, 236751, 568, 12415, 529, 236743, 236810, 22730, 623, 9707, 1083, 236743, 236832, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 236810, 60718, 139267, 1603, 699, 236743, 236770, 236771, 236771, 236908, 40399, 43013, 236761, 227503, 236772, 6796, 12325, 573, 4896, 532, 14581, 10498, 623, 495, 236779, 14973, 1083, 1847, 236764, 623, 6047, 236779, 83625, 1083, 1847, 236764, 623, 6457, 236779, 7125, 1083, 623, 85391, 236764, 28963, 568, 85391, 43499, 19839, 16291, 104960, 623, 6725, 1083, 236743, 236770, 236810, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 17846, 1083, 236743, 236770, 236771, 236764, 623, 28881, 236779, 3456, 1083, 3714, 41427, 1083, 623, 41255, 236772, 18865, 4896, 31929, 784, 236772, 48009, 15414, 187110, 139267, 827, 623, 14801, 1083, 623, 3118, 827, 623, 27617, 1083, 623, 38556, 827, 623, 19859, 1083, 623, 501, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1070, 7516, 28597, 236772, 18865, 12325, 14767, 2487, 16445, 528, 16503, 236764, 28963, 607, 951, 12631, 5384, 237028, 50936, 573, 822, 861, 1960, 236888, 2343, 4852, 659, 528, 2862, 532, 5508, 573, 35312, 657, 16503, 11024, 236787, 108, 7243, 108, 10354, 236743, 243536, 5213, 147716, 39446, 25171, 833, 31937, 119544, 1018, 138, 107, 1018, 11280, 53121, 609, 236812, 236761, 236819, 236819, 568, 236770, 236825, 5903, 15414, 236768, 138, 107, 1018, 9473, 53121, 15748, 236772, 5140, 31929, 607, 47434, 5250, 24911, 236764, 1908, 236772, 72401, 833, 106326, 236761, 138, 107, 1018, 217277, 21617, 53121, 808, 85391, 236764, 28963, 568, 7765, 6718, 13516, 12016, 138, 108, 7243, 108, 10354, 178829, 5213, 17224, 185350, 2343, 236772, 72655, 119544, 1018, 138, 107, 1018, 11280, 53121, 609, 236825, 236761, 236778, 236810, 138, 107, 1018, 9473, 53121, 213284, 900, 31255, 23198, 6581, 573, 103488, 236764, 26273, 236764, 532, 11665, 236761, 138, 107, 1018, 217277, 21617, 53121, 808, 85391, 236764, 28963, 568, 170425, 92723, 12016, 138, 108, 7243, 108, 10354, 73687, 5213, 147716, 36887, 62031, 88765, 236751, 568, 12415, 529, 236743, 236810, 62902, 138, 107, 1018, 11280, 53121, 609, 236832, 236761, 236810, 236771, 138, 107, 1018, 9473, 53121, 236743, 236770, 236771, 236771, 236908, 40399, 43013, 236764, 41726, 236772, 6796, 236764, 60718, 573, 4896, 236786, 12009, 8967, 236761, 138, 107, 1018, 217277, 21617, 53121, 808, 85391, 236764, 28963, 568, 85391, 43499, 19839, 12016, 138, 108, 7243, 108, 3243, 1806, 4852, 659, 5213, 495, 2862, 125546, 5213, 51128, 236772, 18865, 125546, 532, 2487, 573, 5213, 6047, 35312, 1018, 237028, 1904, 12631, 12412, 236888, 5612, 611, 236858, 500, 2721, 528, 16503, 236764, 611, 740, 14304, 1239, 14767, 6842, 531, 1502, 12284, 822, 1171, 7391, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 8159, 919, 3835, 653, 92578, 4762, 3885, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 6250, 1041, 1852, 2268, 12325, 2509, 532, 1202, 1070, 28597, 236772, 18865, 14767, 600, 2810, 236789, 236745, 2541, 506, 4856, 236761, 7129, 1535, 7715, 236772, 18865, 4896, 31929, 236764, 784, 236772, 48009, 15414, 236764, 532, 187110, 139267, 2487, 528, 13574, 236881, 77773, 5906, 564, 740, 974, 2180, 12631, 5384, 2338, 564, 236789, 236757, 2721, 528, 16503, 236761, 3551, 1171, 2321, 7391, 659, 528, 506, 2433, 236764, 834, 564, 44534, 2514, 625, 2263, 532, 17075, 573, 1492, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 547, 1083, 623, 15981, 236779, 41255, 236770, 236771, 236770, 827, 623, 1201, 1083, 623, 147716, 39446, 25171, 833, 31937, 119544, 827, 623, 9707, 1083, 236743, 236812, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 56003, 236772, 5140, 4896, 31929, 607, 47434, 5250, 24911, 236764, 236743, 236770, 236825, 5903, 15414, 11988, 236761, 10645, 236772, 72401, 532, 106326, 10498, 623, 495, 236779, 14973, 1083, 1847, 236764, 623, 6047, 236779, 83625, 1083, 1847, 236764, 623, 6457, 236779, 7125, 1083, 623, 85391, 236764, 28963, 568, 7765, 6718, 13516, 16291, 1263, 3714, 547, 1083, 623, 15981, 236779, 10671, 236778, 236771, 236778, 827, 623, 1201, 1083, 623, 17224, 185350, 2343, 236772, 72655, 119544, 827, 623, 9707, 1083, 236743, 236825, 236761, 236778, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 27915, 236772, 36593, 31929, 573, 103488, 236764, 26273, 236764, 532, 11665, 236761, 21757, 607, 48399, 532, 31255, 23198, 10498, 623, 495, 236779, 14973, 1083, 1847, 236764, 623, 6047, 236779, 83625, 1083, 1847, 236764, 623, 6457, 236779, 7125, 1083, 623, 85391, 236764, 28963, 568, 170425, 92723, 16291, 1263, 3714, 547, 1083, 623, 15981, 236779, 27621, 236800, 236771, 236800, 827, 623, 1201, 1083, 623, 147716, 36887, 62031, 88765, 236751, 568, 12415, 529, 236743, 236810, 22730, 623, 9707, 1083, 236743, 236832, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 236810, 60718, 139267, 1603, 699, 236743, 236770, 236771, 236771, 236908, 40399, 43013, 236761, 227503, 236772, 6796, 12325, 573, 4896, 532, 14581, 10498, 623, 495, 236779, 14973, 1083, 1847, 236764, 623, 6047, 236779, 83625, 1083, 1847, 236764, 623, 6457, 236779, 7125, 1083, 623, 85391, 236764, 28963, 568, 85391, 43499, 19839, 16291, 104960, 623, 6725, 1083, 236743, 236770, 236810, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 17846, 1083, 236743, 236770, 236771, 236764, 623, 28881, 236779, 3456, 1083, 3714, 41427, 1083, 623, 41255, 236772, 18865, 4896, 31929, 784, 236772, 48009, 15414, 187110, 139267, 827, 623, 14801, 1083, 623, 3118, 827, 623, 27617, 1083, 623, 38556, 827, 623, 19859, 1083, 623, 501, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1070, 7516, 28597, 236772, 18865, 12325, 14767, 2487, 16445, 528, 16503, 236764, 28963, 607, 951, 12631, 5384, 237028, 50936, 573, 822, 861, 1960, 236888, 2343, 4852, 659, 528, 2862, 532, 5508, 573, 35312, 657, 16503, 11024, 236787, 108, 7243, 108, 10354, 236743, 243536, 5213, 147716, 39446, 25171, 833, 31937, 119544, 1018, 138, 107, 1018, 11280, 53121, 609, 236812, 236761, 236819, 236819, 568, 236770, 236825, 5903, 15414, 236768, 138, 107, 1018, 9473, 53121, 15748, 236772, 5140, 31929, 607, 47434, 5250, 24911, 236764, 1908, 236772, 72401, 833, 106326, 236761, 138, 107, 1018, 217277, 21617, 53121, 808, 85391, 236764, 28963, 568, 7765, 6718, 13516, 12016, 138, 108, 7243, 108, 10354, 178829, 5213, 17224, 185350, 2343, 236772, 72655, 119544, 1018, 138, 107, 1018, 11280, 53121, 609, 236825, 236761, 236778, 236810, 138, 107, 1018, 9473, 53121, 213284, 900, 31255, 23198, 6581, 573, 103488, 236764, 26273, 236764, 532, 11665, 236761, 138, 107, 1018, 217277, 21617, 53121, 808, 85391, 236764, 28963, 568, 170425, 92723, 12016, 138, 108, 7243, 108, 10354, 73687, 5213, 147716, 36887, 62031, 88765, 236751, 568, 12415, 529, 236743, 236810, 62902, 138, 107, 1018, 11280, 53121, 609, 236832, 236761, 236810, 236771, 138, 107, 1018, 9473, 53121, 236743, 236770, 236771, 236771, 236908, 40399, 43013, 236764, 41726, 236772, 6796, 236764, 60718, 573, 4896, 236786, 12009, 8967, 236761, 138, 107, 1018, 217277, 21617, 53121, 808, 85391, 236764, 28963, 568, 85391, 43499, 19839, 12016, 138, 108, 7243, 108, 3243, 1806, 4852, 659, 5213, 495, 2862, 125546, 5213, 51128, 236772, 18865, 125546, 532, 2487, 573, 5213, 6047, 35312, 1018, 237028, 1904, 12631, 12412, 236888, 5612, 611, 236858, 500, 2721, 528, 16503, 236764, 611, 740, 14304, 1239, 14767, 6842, 531, 1502, 12284, 822, 1171, 7391, 236761, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 8159, 919, 3835, 653, 92578, 4762, 3885, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 1502, 496, 3399, 7972, 532, 7463, 496, 11790, 41519, 1590, 528, 19662, 236764, 26493, 236761, 564, 1202, 531, 1586, 2263, 2777, 4009, 77952, 1015, 659, 1131, 49115, 236764, 3399, 2509, 236764, 653, 35208, 5699, 236761, 28344, 611, 1161, 600, 65911, 3393, 236743, 236800, 236832, 236800, 236825, 236828, 531, 3927, 573, 18361, 528, 1041, 2433, 236881, 564, 1461, 531, 5370, 855, 531, 1091, 531, 1601, 974, 506, 3658, 855, 236761, 3792, 236858, 236751, 1460, 768, 692, 740, 1586, 1070, 18361, 1015, 236858, 236753, 577, 7467, 528, 9795, 23789, 607, 27627, 653, 6730, 5756, 76173, 3075, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 111399, 60260, 1083, 78493, 1201, 1083, 623, 17224, 111524, 85305, 827, 623, 22504, 236779, 10494, 1083, 3714, 19099, 1083, 623, 42809, 827, 623, 12172, 1083, 12948, 16745, 14121, 597, 2265, 762, 827, 623, 76647, 1083, 236743, 236810, 236778, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 623, 236832, 236761, 236778, 171446, 623, 204830, 1083, 11058, 45737, 3999, 827, 623, 199283, 4882, 14255, 623, 7125, 1083, 623, 104561, 236764, 26493, 23179, 3714, 1201, 1083, 623, 101457, 45731, 827, 623, 22504, 236779, 10494, 1083, 3714, 19099, 1083, 623, 53824, 827, 623, 12172, 1083, 12948, 5035, 1177, 985, 827, 623, 76647, 1083, 236743, 236828, 236819, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 623, 236810, 236761, 236828, 171446, 623, 204830, 1083, 11058, 8147, 11790, 827, 623, 1048, 120483, 14255, 623, 7125, 1083, 623, 104561, 236764, 26493, 23179, 3714, 1201, 1083, 623, 46640, 105411, 1026, 65944, 827, 623, 22504, 236779, 10494, 1083, 3714, 19099, 1083, 623, 33333, 827, 623, 12172, 1083, 12948, 37939, 45737, 1026, 827, 623, 76647, 1083, 236743, 236800, 236812, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 623, 236825, 236761, 236810, 171446, 623, 204830, 1083, 11058, 37939, 35447, 827, 623, 8819, 49115, 14255, 623, 7125, 1083, 623, 104561, 236764, 26493, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 2305, 236779, 19031, 1083, 3714, 7125, 1083, 623, 236800, 236832, 236800, 236825, 236828, 827, 623, 2084, 3973, 547, 1083, 236743, 236778, 236764, 623, 28763, 1083, 623, 45737, 3999, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 109816, 30641, 827, 623, 12172, 1083, 12948, 17224, 111524, 109816, 827, 623, 55283, 1083, 11058, 105411, 3999, 827, 623, 46640, 98916, 14255, 623, 7125, 1083, 623, 236800, 236832, 236800, 236825, 236828, 827, 623, 76647, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 1263, 3714, 1201, 1083, 623, 10666, 24148, 827, 623, 12172, 1083, 12948, 101457, 10666, 71488, 827, 623, 55283, 1083, 11058, 101457, 37747, 827, 623, 9435, 152403, 14255, 623, 7125, 1083, 623, 236800, 236832, 236800, 236825, 236828, 827, 623, 76647, 1083, 236743, 236828, 236819, 236771, 236771, 1263, 3714, 1201, 1083, 623, 65944, 17277, 827, 623, 12172, 1083, 12948, 174779, 65944, 827, 623, 55283, 1083, 11058, 46640, 166858, 827, 623, 147716, 236772, 83899, 35208, 14255, 623, 7125, 1083, 623, 236800, 236832, 236800, 236825, 236828, 827, 623, 76647, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 104960, 623, 6725, 236779, 25541, 1083, 236743, 236800, 236764, 623, 14210, 1083, 623, 3243, 2536, 4241, 4563, 568, 236800, 236832, 236800, 236825, 236828, 236768, 532, 3204, 657, 3198, 886, 7798, 12889, 568, 101457, 236764, 166858, 236764, 653, 11493, 6007, 16291, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 111399, 17543, 236779, 547, 1083, 623, 9402, 236798, 236770, 236778, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 17224, 111524, 236779, 60526, 827, 623, 19099, 1083, 623, 42809, 827, 623, 76647, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 7125, 1083, 623, 104561, 236764, 26493, 827, 623, 55283, 1083, 11058, 45737, 3999, 827, 623, 37939, 2509, 827, 623, 199283, 4882, 14255, 623, 92506, 236779, 4720, 1083, 236743, 236812, 236761, 236828, 1263, 3714, 111399, 17543, 236779, 547, 1083, 623, 71488, 236779, 101457, 236779, 51435, 827, 623, 1201, 1083, 623, 36819, 1509, 236779, 51435, 827, 623, 19099, 1083, 623, 53824, 827, 623, 76647, 1083, 236743, 236819, 236828, 236771, 236771, 236764, 623, 7125, 1083, 623, 236800, 236832, 236800, 236825, 236828, 827, 623, 55283, 1083, 11058, 101457, 27627, 827, 623, 37939, 2509, 827, 623, 2025, 22742, 14255, 623, 92506, 236779, 4720, 1083, 236743, 236812, 236761, 236778, 104960, 623, 6725, 236779, 25541, 1083, 236743, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 236800, 236832, 236800, 236825, 236828, 827, 623, 2084, 3973, 547, 1083, 236743, 236778, 236764, 623, 28763, 1083, 623, 37939, 2509, 127096, 106, 107, 105, 4368, 107, 8291, 659, 2263, 2777, 4009, 77952, 528, 19662, 236764, 26493, 568, 92824, 236743, 236800, 236832, 236800, 236825, 236828, 236768, 1015, 8913, 607, 822, 3399, 7972, 532, 11790, 41519, 7675, 236787, 108, 1018, 105411, 3999, 833, 72143, 1018, 107, 236770, 236761, 5213, 17224, 111524, 85305, 1018, 12945, 16745, 14121, 597, 2265, 762, 236768, 138, 107, 139, 42809, 1109, 236743, 236810, 236761, 236778, 236767, 23073, 1109, 166858, 236764, 48233, 21887, 138, 107, 139, 227187, 236787, 236743, 236832, 236761, 236778, 236908, 108, 236778, 236761, 5213, 17224, 111524, 236779, 60526, 1018, 138, 107, 139, 42809, 1109, 236743, 236770, 236778, 236761, 236810, 236767, 23073, 1109, 166858, 236764, 11493, 6007, 138, 107, 139, 227187, 236787, 236743, 236812, 236761, 236828, 236908, 108, 236800, 236761, 5213, 46640, 105411, 1026, 65944, 1018, 12945, 37939, 45737, 1026, 236768, 138, 107, 139, 33333, 1109, 236743, 236800, 236761, 236812, 236767, 23073, 1109, 26762, 166858, 236764, 11493, 153299, 138, 107, 139, 227187, 236787, 236743, 236825, 236761, 236810, 236908, 108, 1018, 101457, 833, 152403, 1018, 107, 236812, 236761, 5213, 101457, 45731, 1018, 12945, 5035, 1177, 985, 236768, 138, 107, 139, 53824, 1109, 236743, 236828, 236761, 236819, 236767, 23073, 1109, 6863, 50270, 236764, 5827, 120483, 138, 107, 139, 227187, 236787, 236743, 236810, 236761, 236828, 236908, 108, 236810, 236761, 5213, 36819, 1509, 236779, 51435, 1018, 568, 71488, 236779, 101457, 236779, 51435, 236768, 138, 107, 139, 53824, 1109, 236743, 236819, 236761, 236828, 236767, 23073, 1109, 35208, 152403, 236764, 122354, 138, 107, 139, 227187, 236787, 236743, 236812, 236761, 236778, 236908, 108, 1018, 46640, 63010, 1018, 107, 236825, 236761, 5213, 101457, 10666, 71488, 1018, 12945, 101457, 10666, 71488, 236768, 138, 107, 139, 74356, 236787, 35208, 37747, 236764, 6863, 152403, 1109, 236743, 236828, 236761, 236819, 236767, 23073, 108, 236832, 236761, 5213, 174779, 65944, 1018, 138, 107, 139, 74356, 236787, 11493, 166858, 236764, 43804, 236772, 83899, 35208, 1109, 236743, 236770, 236810, 236761, 236778, 236767, 23073, 108, 1018, 9272, 50228, 1018, 138, 107, 236772, 22282, 77372, 43285, 531, 5213, 17224, 111524, 236779, 60526, 1018, 568, 11480, 23073, 236768, 532, 5213, 17224, 111524, 85305, 1018, 568, 22468, 15154, 769, 138, 107, 236772, 6890, 19171, 531, 7853, 10789, 528, 12714, 1003, 822, 17358, 236761, 138, 107, 236772, 118189, 21281, 6417, 236787, 2196, 38801, 573, 1091, 236764, 58871, 3399, 4100, 573, 611, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 66582, 43285, 10396, 236888, 178829, 248850, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 1502, 496, 3399, 7972, 532, 7463, 496, 11790, 41519, 1590, 528, 19662, 236764, 26493, 236761, 564, 1202, 531, 1586, 2263, 2777, 4009, 77952, 1015, 659, 1131, 49115, 236764, 3399, 2509, 236764, 653, 35208, 5699, 236761, 28344, 611, 1161, 600, 65911, 3393, 236743, 236800, 236832, 236800, 236825, 236828, 531, 3927, 573, 18361, 528, 1041, 2433, 236881, 564, 1461, 531, 5370, 855, 531, 1091, 531, 1601, 974, 506, 3658, 855, 236761, 3792, 236858, 236751, 1460, 768, 692, 740, 1586, 1070, 18361, 1015, 236858, 236753, 577, 7467, 528, 9795, 23789, 607, 27627, 653, 6730, 5756, 76173, 3075, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 111399, 60260, 1083, 78493, 1201, 1083, 623, 17224, 111524, 85305, 827, 623, 22504, 236779, 10494, 1083, 3714, 19099, 1083, 623, 42809, 827, 623, 12172, 1083, 12948, 16745, 14121, 597, 2265, 762, 827, 623, 76647, 1083, 236743, 236810, 236778, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 623, 236832, 236761, 236778, 171446, 623, 204830, 1083, 11058, 45737, 3999, 827, 623, 199283, 4882, 14255, 623, 7125, 1083, 623, 104561, 236764, 26493, 23179, 3714, 1201, 1083, 623, 101457, 45731, 827, 623, 22504, 236779, 10494, 1083, 3714, 19099, 1083, 623, 53824, 827, 623, 12172, 1083, 12948, 5035, 1177, 985, 827, 623, 76647, 1083, 236743, 236828, 236819, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 623, 236810, 236761, 236828, 171446, 623, 204830, 1083, 11058, 8147, 11790, 827, 623, 1048, 120483, 14255, 623, 7125, 1083, 623, 104561, 236764, 26493, 23179, 3714, 1201, 1083, 623, 46640, 105411, 1026, 65944, 827, 623, 22504, 236779, 10494, 1083, 3714, 19099, 1083, 623, 33333, 827, 623, 12172, 1083, 12948, 37939, 45737, 1026, 827, 623, 76647, 1083, 236743, 236800, 236812, 236771, 236771, 236764, 623, 92506, 236779, 4720, 1083, 623, 236825, 236761, 236810, 171446, 623, 204830, 1083, 11058, 37939, 35447, 827, 623, 8819, 49115, 14255, 623, 7125, 1083, 623, 104561, 236764, 26493, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 2305, 236779, 19031, 1083, 3714, 7125, 1083, 623, 236800, 236832, 236800, 236825, 236828, 827, 623, 2084, 3973, 547, 1083, 236743, 236778, 236764, 623, 28763, 1083, 623, 45737, 3999, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 109816, 30641, 827, 623, 12172, 1083, 12948, 17224, 111524, 109816, 827, 623, 55283, 1083, 11058, 105411, 3999, 827, 623, 46640, 98916, 14255, 623, 7125, 1083, 623, 236800, 236832, 236800, 236825, 236828, 827, 623, 76647, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 1263, 3714, 1201, 1083, 623, 10666, 24148, 827, 623, 12172, 1083, 12948, 101457, 10666, 71488, 827, 623, 55283, 1083, 11058, 101457, 37747, 827, 623, 9435, 152403, 14255, 623, 7125, 1083, 623, 236800, 236832, 236800, 236825, 236828, 827, 623, 76647, 1083, 236743, 236828, 236819, 236771, 236771, 1263, 3714, 1201, 1083, 623, 65944, 17277, 827, 623, 12172, 1083, 12948, 174779, 65944, 827, 623, 55283, 1083, 11058, 46640, 166858, 827, 623, 147716, 236772, 83899, 35208, 14255, 623, 7125, 1083, 623, 236800, 236832, 236800, 236825, 236828, 827, 623, 76647, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 104960, 623, 6725, 236779, 25541, 1083, 236743, 236800, 236764, 623, 14210, 1083, 623, 3243, 2536, 4241, 4563, 568, 236800, 236832, 236800, 236825, 236828, 236768, 532, 3204, 657, 3198, 886, 7798, 12889, 568, 101457, 236764, 166858, 236764, 653, 11493, 6007, 16291, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 111399, 17543, 236779, 547, 1083, 623, 9402, 236798, 236770, 236778, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 17224, 111524, 236779, 60526, 827, 623, 19099, 1083, 623, 42809, 827, 623, 76647, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 7125, 1083, 623, 104561, 236764, 26493, 827, 623, 55283, 1083, 11058, 45737, 3999, 827, 623, 37939, 2509, 827, 623, 199283, 4882, 14255, 623, 92506, 236779, 4720, 1083, 236743, 236812, 236761, 236828, 1263, 3714, 111399, 17543, 236779, 547, 1083, 623, 71488, 236779, 101457, 236779, 51435, 827, 623, 1201, 1083, 623, 36819, 1509, 236779, 51435, 827, 623, 19099, 1083, 623, 53824, 827, 623, 76647, 1083, 236743, 236819, 236828, 236771, 236771, 236764, 623, 7125, 1083, 623, 236800, 236832, 236800, 236825, 236828, 827, 623, 55283, 1083, 11058, 101457, 27627, 827, 623, 37939, 2509, 827, 623, 2025, 22742, 14255, 623, 92506, 236779, 4720, 1083, 236743, 236812, 236761, 236778, 104960, 623, 6725, 236779, 25541, 1083, 236743, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 236800, 236832, 236800, 236825, 236828, 827, 623, 2084, 3973, 547, 1083, 236743, 236778, 236764, 623, 28763, 1083, 623, 37939, 2509, 127096, 106, 107, 105, 4368, 107, 8291, 659, 2263, 2777, 4009, 77952, 528, 19662, 236764, 26493, 568, 92824, 236743, 236800, 236832, 236800, 236825, 236828, 236768, 1015, 8913, 607, 822, 3399, 7972, 532, 11790, 41519, 7675, 236787, 108, 1018, 105411, 3999, 833, 72143, 1018, 107, 236770, 236761, 5213, 17224, 111524, 85305, 1018, 12945, 16745, 14121, 597, 2265, 762, 236768, 138, 107, 139, 42809, 1109, 236743, 236810, 236761, 236778, 236767, 23073, 1109, 166858, 236764, 48233, 21887, 138, 107, 139, 227187, 236787, 236743, 236832, 236761, 236778, 236908, 108, 236778, 236761, 5213, 17224, 111524, 236779, 60526, 1018, 138, 107, 139, 42809, 1109, 236743, 236770, 236778, 236761, 236810, 236767, 23073, 1109, 166858, 236764, 11493, 6007, 138, 107, 139, 227187, 236787, 236743, 236812, 236761, 236828, 236908, 108, 236800, 236761, 5213, 46640, 105411, 1026, 65944, 1018, 12945, 37939, 45737, 1026, 236768, 138, 107, 139, 33333, 1109, 236743, 236800, 236761, 236812, 236767, 23073, 1109, 26762, 166858, 236764, 11493, 153299, 138, 107, 139, 227187, 236787, 236743, 236825, 236761, 236810, 236908, 108, 1018, 101457, 833, 152403, 1018, 107, 236812, 236761, 5213, 101457, 45731, 1018, 12945, 5035, 1177, 985, 236768, 138, 107, 139, 53824, 1109, 236743, 236828, 236761, 236819, 236767, 23073, 1109, 6863, 50270, 236764, 5827, 120483, 138, 107, 139, 227187, 236787, 236743, 236810, 236761, 236828, 236908, 108, 236810, 236761, 5213, 36819, 1509, 236779, 51435, 1018, 568, 71488, 236779, 101457, 236779, 51435, 236768, 138, 107, 139, 53824, 1109, 236743, 236819, 236761, 236828, 236767, 23073, 1109, 35208, 152403, 236764, 122354, 138, 107, 139, 227187, 236787, 236743, 236812, 236761, 236778, 236908, 108, 1018, 46640, 63010, 1018, 107, 236825, 236761, 5213, 101457, 10666, 71488, 1018, 12945, 101457, 10666, 71488, 236768, 138, 107, 139, 74356, 236787, 35208, 37747, 236764, 6863, 152403, 1109, 236743, 236828, 236761, 236819, 236767, 23073, 108, 236832, 236761, 5213, 174779, 65944, 1018, 138, 107, 139, 74356, 236787, 11493, 166858, 236764, 43804, 236772, 83899, 35208, 1109, 236743, 236770, 236810, 236761, 236778, 236767, 23073, 108, 1018, 9272, 50228, 1018, 138, 107, 236772, 22282, 77372, 43285, 531, 5213, 17224, 111524, 236779, 60526, 1018, 568, 11480, 23073, 236768, 532, 5213, 17224, 111524, 85305, 1018, 568, 22468, 15154, 769, 138, 107, 236772, 6890, 19171, 531, 7853, 10789, 528, 12714, 1003, 822, 17358, 236761, 138, 107, 236772, 118189, 21281, 6417, 236787, 2196, 38801, 573, 1091, 236764, 58871, 3399, 4100, 573, 611, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 66582, 43285, 10396, 236888, 178829, 248850, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 205677, 236764, 506, 22726, 16326, 1679, 657, 506, 107589, 6914, 19563, 6022, 236761, 564, 236789, 236757, 4875, 531, 2731, 1023, 2563, 2404, 5888, 2148, 2297, 573, 506, 3399, 236764, 840, 564, 236789, 236757, 17539, 580, 22479, 506, 2557, 236761, 28344, 611, 1601, 786, 855, 236881, 5315, 236764, 564, 1202, 531, 9128, 506, 107589, 6914, 19563, 6022, 236789, 236751, 15830, 1699, 506, 11024, 26163, 878, 5904, 237028, 2305, 573, 623, 37939, 3988, 236775, 528, 623, 66639, 501, 6914, 236764, 16119, 236775, 531, 974, 910, 4889, 236761, 4298, 236764, 3622, 611, 735, 910, 3421, 532, 3662, 8283, 699, 600, 236764, 2260, 614, 15043, 573, 5142, 236743, 236770, 236810, 594, 657, 236743, 236770, 236771, 8151, 1699, 506, 2260, 236779, 82035, 5904, 236761, 13472, 236764, 1308, 625, 236789, 236751, 10778, 236764, 1868, 496, 3823, 2777, 4009, 4610, 580, 506, 2460, 4889, 834, 18361, 740, 114745, 236761, 564, 236858, 560, 2506, 1041, 1694, 529, 2196, 4806, 4204, 17507, 532, 27351, 12480, 35009, 5508, 531, 817, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 78493, 1201, 1083, 623, 66639, 501, 6914, 19563, 6022, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 6718, 236764, 107589, 6914, 236764, 16119, 236743, 236832, 236812, 236828, 236812, 236828, 827, 623, 5275, 1083, 623, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 827, 623, 2084, 1083, 623, 46640, 6022, 827, 623, 48578, 1083, 236743, 236770, 236810, 236771, 236764, 623, 56905, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 4818, 1083, 623, 18700, 236775, 200808, 3714, 1201, 1083, 623, 66639, 501, 6914, 11493, 6022, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 20690, 17463, 236764, 107589, 6914, 236764, 16119, 236743, 236832, 236812, 236828, 236812, 236828, 827, 623, 5275, 1083, 623, 236810, 236810, 236810, 236772, 236819, 236828, 236832, 236772, 236825, 236810, 236812, 236800, 827, 623, 2084, 1083, 623, 46640, 6022, 827, 623, 48578, 1083, 236743, 236778, 236771, 236771, 236764, 623, 56905, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 4818, 1083, 623, 18700, 236775, 15947, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 61823, 236779, 547, 1083, 623, 2663, 7847, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236772, 236770, 236771, 236771, 236771, 827, 623, 4818, 1083, 623, 87877, 827, 623, 8114, 1083, 623, 46640, 5554, 15519, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 7125, 1083, 623, 236770, 236778, 236800, 6400, 6718, 236764, 107589, 6914, 236764, 16119, 236743, 236832, 236812, 236828, 236812, 236828, 827, 623, 104094, 236779, 14210, 1083, 623, 131020, 10778, 573, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236778, 236787, 236771, 236771, 8711, 236761, 2343, 5842, 532, 14767, 5508, 236761, 13948, 7616, 236940, 2840, 7291, 13618, 501, 1836, 3873, 236761, 2187, 573, 3731, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 623, 96279, 236779, 236832, 236828, 236778, 236800, 827, 623, 4818, 1083, 623, 95845, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 11069, 3399, 2404, 5888, 657, 107589, 6914, 19563, 6022, 563, 784, 1076, 236888, 204906, 108, 236772, 5213, 131020, 13810, 8593, 66515, 236743, 236770, 236778, 236800, 6400, 6718, 236764, 107589, 6914, 236764, 16119, 236743, 236832, 236812, 236828, 236812, 236828, 568, 27403, 236743, 236770, 236810, 236764, 236743, 236770, 236771, 8151, 753, 236743, 236778, 8711, 236768, 107, 236772, 5213, 30222, 11701, 50786, 66515, 12209, 4889, 7659, 580, 784, 14175, 607, 114745, 11808, 568, 7118, 5853, 236787, 38436, 236779, 236832, 236828, 236778, 236800, 236768, 107, 236772, 5213, 11431, 23614, 66515, 65654, 740, 114745, 4323, 7616, 236940, 2840, 7291, 13618, 501, 1836, 3873, 236761, 2187, 108, 3243, 2196, 4806, 4204, 17507, 532, 27351, 12480, 35009, 659, 5508, 531, 817, 236888, 3792, 786, 1281, 768, 611, 1202, 4658, 1663, 236764, 205677, 236761, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 205677, 236764, 506, 22726, 16326, 1679, 657, 506, 107589, 6914, 19563, 6022, 236761, 564, 236789, 236757, 4875, 531, 2731, 1023, 2563, 2404, 5888, 2148, 2297, 573, 506, 3399, 236764, 840, 564, 236789, 236757, 17539, 580, 22479, 506, 2557, 236761, 28344, 611, 1601, 786, 855, 236881, 5315, 236764, 564, 1202, 531, 9128, 506, 107589, 6914, 19563, 6022, 236789, 236751, 15830, 1699, 506, 11024, 26163, 878, 5904, 237028, 2305, 573, 623, 37939, 3988, 236775, 528, 623, 66639, 501, 6914, 236764, 16119, 236775, 531, 974, 910, 4889, 236761, 4298, 236764, 3622, 611, 735, 910, 3421, 532, 3662, 8283, 699, 600, 236764, 2260, 614, 15043, 573, 5142, 236743, 236770, 236810, 594, 657, 236743, 236770, 236771, 8151, 1699, 506, 2260, 236779, 82035, 5904, 236761, 13472, 236764, 1308, 625, 236789, 236751, 10778, 236764, 1868, 496, 3823, 2777, 4009, 4610, 580, 506, 2460, 4889, 834, 18361, 740, 114745, 236761, 564, 236858, 560, 2506, 1041, 1694, 529, 2196, 4806, 4204, 17507, 532, 27351, 12480, 35009, 5508, 531, 817, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 78493, 1201, 1083, 623, 66639, 501, 6914, 19563, 6022, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 6718, 236764, 107589, 6914, 236764, 16119, 236743, 236832, 236812, 236828, 236812, 236828, 827, 623, 5275, 1083, 623, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236772, 236812, 236810, 236825, 236832, 827, 623, 2084, 1083, 623, 46640, 6022, 827, 623, 48578, 1083, 236743, 236770, 236810, 236771, 236764, 623, 56905, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 4818, 1083, 623, 18700, 236775, 200808, 3714, 1201, 1083, 623, 66639, 501, 6914, 11493, 6022, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 20690, 17463, 236764, 107589, 6914, 236764, 16119, 236743, 236832, 236812, 236828, 236812, 236828, 827, 623, 5275, 1083, 623, 236810, 236810, 236810, 236772, 236819, 236828, 236832, 236772, 236825, 236810, 236812, 236800, 827, 623, 2084, 1083, 623, 46640, 6022, 827, 623, 48578, 1083, 236743, 236778, 236771, 236771, 236764, 623, 56905, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 4818, 1083, 623, 18700, 236775, 15947, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 61823, 236779, 547, 1083, 623, 2663, 7847, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236772, 236770, 236771, 236771, 236771, 827, 623, 4818, 1083, 623, 87877, 827, 623, 8114, 1083, 623, 46640, 5554, 15519, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 7125, 1083, 623, 236770, 236778, 236800, 6400, 6718, 236764, 107589, 6914, 236764, 16119, 236743, 236832, 236812, 236828, 236812, 236828, 827, 623, 104094, 236779, 14210, 1083, 623, 131020, 10778, 573, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236778, 236787, 236771, 236771, 8711, 236761, 2343, 5842, 532, 14767, 5508, 236761, 13948, 7616, 236940, 2840, 7291, 13618, 501, 1836, 3873, 236761, 2187, 573, 3731, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 623, 96279, 236779, 236832, 236828, 236778, 236800, 827, 623, 4818, 1083, 623, 95845, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 11069, 3399, 2404, 5888, 657, 107589, 6914, 19563, 6022, 563, 784, 1076, 236888, 204906, 108, 236772, 5213, 131020, 13810, 8593, 66515, 236743, 236770, 236778, 236800, 6400, 6718, 236764, 107589, 6914, 236764, 16119, 236743, 236832, 236812, 236828, 236812, 236828, 568, 27403, 236743, 236770, 236810, 236764, 236743, 236770, 236771, 8151, 753, 236743, 236778, 8711, 236768, 107, 236772, 5213, 30222, 11701, 50786, 66515, 12209, 4889, 7659, 580, 784, 14175, 607, 114745, 11808, 568, 7118, 5853, 236787, 38436, 236779, 236832, 236828, 236778, 236800, 236768, 107, 236772, 5213, 11431, 23614, 66515, 65654, 740, 114745, 4323, 7616, 236940, 2840, 7291, 13618, 501, 1836, 3873, 236761, 2187, 108, 3243, 2196, 4806, 4204, 17507, 532, 27351, 12480, 35009, 659, 5508, 531, 817, 236888, 3792, 786, 1281, 768, 611, 1202, 4658, 1663, 236764, 205677, 236761, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 9584, 62267, 573, 1041, 16038, 3399, 4749, 236761, 3792, 236789, 236751, 1502, 607, 1041, 1610, 1012, 15020, 1458, 236761, 5315, 236764, 8729, 496, 236743, 236770, 236778, 236772, 18857, 8918, 607, 657, 3198, 886, 5404, 236761, 1637, 625, 4038, 236789, 236745, 3204, 496, 5404, 236764, 117862, 625, 236761, 4298, 2619, 496, 236743, 236770, 236771, 236772, 18857, 8918, 2180, 16271, 840, 607, 4945, 573, 506, 24564, 1519, 236772, 1048, 236761, 1637, 600, 20269, 236764, 2056, 1570, 236761, 64747, 236764, 1386, 614, 236743, 236828, 236772, 18857, 8918, 18531, 46451, 532, 67505, 11739, 573, 506, 27715, 236761, 3792, 236789, 236751, 3654, 607, 506, 1610, 1012, 8918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8707, 1083, 623, 236767, 236800, 236795, 236819, 157979, 236940, 236766, 236935, 236865, 236810, 236791, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8707, 1083, 623, 236781, 236855, 236828, 236758, 236935, 236778, 236750, 236798, 236819, 236757, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8707, 1083, 623, 4619, 236755, 4222, 124386, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 7835, 62267, 573, 822, 3399, 4749, 236787, 108, 236770, 236761, 5213, 9175, 6679, 36997, 568, 236770, 236778, 7579, 236764, 607, 16271, 1473, 1018, 138, 107, 139, 236929, 236767, 236800, 236795, 236819, 157979, 236940, 236766, 236935, 236865, 236810, 236791, 236929, 138, 108, 236778, 236761, 5213, 218799, 9753, 236772, 4674, 568, 236770, 236771, 7579, 236764, 951, 16271, 236764, 607, 4945, 1473, 1018, 138, 107, 139, 236929, 236781, 236855, 236828, 236758, 236935, 236778, 236750, 236798, 236819, 236757, 236929, 138, 108, 236800, 236761, 5213, 174276, 568, 236828, 7579, 236764, 9726, 46451, 236786, 129749, 1473, 1018, 138, 107, 139, 236929, 4619, 236755, 4222, 124386, 236929, 138, 108, 3243, 62267, 2874, 506, 9155, 6035, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 9584, 62267, 573, 1041, 16038, 3399, 4749, 236761, 3792, 236789, 236751, 1502, 607, 1041, 1610, 1012, 15020, 1458, 236761, 5315, 236764, 8729, 496, 236743, 236770, 236778, 236772, 18857, 8918, 607, 657, 3198, 886, 5404, 236761, 1637, 625, 4038, 236789, 236745, 3204, 496, 5404, 236764, 117862, 625, 236761, 4298, 2619, 496, 236743, 236770, 236771, 236772, 18857, 8918, 2180, 16271, 840, 607, 4945, 573, 506, 24564, 1519, 236772, 1048, 236761, 1637, 600, 20269, 236764, 2056, 1570, 236761, 64747, 236764, 1386, 614, 236743, 236828, 236772, 18857, 8918, 18531, 46451, 532, 67505, 11739, 573, 506, 27715, 236761, 3792, 236789, 236751, 3654, 607, 506, 1610, 1012, 8918, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8707, 1083, 623, 236767, 236800, 236795, 236819, 157979, 236940, 236766, 236935, 236865, 236810, 236791, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8707, 1083, 623, 236781, 236855, 236828, 236758, 236935, 236778, 236750, 236798, 236819, 236757, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8707, 1083, 623, 4619, 236755, 4222, 124386, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 7835, 62267, 573, 822, 3399, 4749, 236787, 108, 236770, 236761, 5213, 9175, 6679, 36997, 568, 236770, 236778, 7579, 236764, 607, 16271, 1473, 1018, 138, 107, 139, 236929, 236767, 236800, 236795, 236819, 157979, 236940, 236766, 236935, 236865, 236810, 236791, 236929, 138, 108, 236778, 236761, 5213, 218799, 9753, 236772, 4674, 568, 236770, 236771, 7579, 236764, 951, 16271, 236764, 607, 4945, 1473, 1018, 138, 107, 139, 236929, 236781, 236855, 236828, 236758, 236935, 236778, 236750, 236798, 236819, 236757, 236929, 138, 108, 236800, 236761, 5213, 174276, 568, 236828, 7579, 236764, 9726, 46451, 236786, 129749, 1473, 1018, 138, 107, 139, 236929, 4619, 236755, 4222, 124386, 236929, 138, 108, 3243, 62267, 2874, 506, 9155, 6035, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 2777, 4009, 16616, 573, 506, 3399, 49115, 18669, 564, 236789, 236757, 6995, 657, 506, 9550, 3988, 236761, 28344, 611, 1171, 33205, 784, 2487, 12669, 4596, 531, 49115, 532, 3399, 4749, 236881, 564, 1461, 531, 5330, 692, 236789, 500, 1699, 506, 1346, 7798, 118252, 531, 7440, 11383, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27975, 1083, 78493, 1201, 1083, 623, 46640, 36667, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236771, 236770, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 46640, 105411, 3999, 827, 13659, 66057, 236811, 36778, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236819, 236764, 623, 2204, 27975, 1083, 11058, 13149, 101569, 827, 623, 218799, 62503, 152254, 3714, 1201, 1083, 623, 51551, 45600, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236812, 236810, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 14009, 229844, 827, 13659, 51551, 236394, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236761, 236825, 236764, 623, 2204, 27975, 1083, 11058, 9004, 22742, 827, 623, 30222, 87176, 152254, 3714, 1201, 1083, 623, 174779, 166858, 827, 623, 547, 1083, 623, 9307, 236779, 236770, 236770, 236778, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 147716, 83899, 105411, 832, 827, 13659, 1558, 120136, 60237, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236778, 236764, 623, 2204, 27975, 1083, 11058, 17390, 29329, 827, 623, 99969, 21142, 152254, 3714, 1201, 1083, 623, 3845, 144964, 41327, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236832, 236828, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 122949, 3133, 236773, 9257, 913, 827, 13659, 46640, 236799, 63021, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236825, 236761, 236828, 236764, 623, 2204, 27975, 1083, 11058, 66078, 13628, 827, 623, 50384, 37747, 152254, 3714, 1201, 1083, 623, 115232, 7803, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236778, 236800, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 70980, 201298, 827, 13659, 115232, 236776, 149001, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236761, 236800, 236764, 623, 2204, 27975, 1083, 11058, 8629, 166858, 827, 623, 37202, 36667, 152254, 3714, 1201, 1083, 623, 13149, 31698, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236819, 236819, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 17698, 19033, 827, 13659, 46640, 28637, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236819, 236761, 236770, 236764, 623, 2204, 27975, 1083, 11058, 9004, 22742, 827, 623, 65556, 31776, 152254, 3714, 1201, 1083, 623, 105411, 3999, 9426, 827, 623, 547, 1083, 623, 9307, 236779, 236770, 236800, 236812, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 105411, 3999, 60237, 827, 13659, 56003, 31458, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236771, 236764, 623, 2204, 27975, 1083, 11058, 9004, 22742, 827, 623, 31335, 71414, 152254, 3714, 1201, 1083, 623, 143389, 528, 166858, 827, 623, 547, 1083, 623, 9307, 236779, 236770, 236810, 236825, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 141867, 105411, 3999, 827, 13659, 124061, 31810, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236825, 236761, 236810, 236764, 623, 2204, 27975, 1083, 11058, 178347, 146178, 827, 623, 7741, 181595, 152254, 3714, 1201, 1083, 623, 30297, 44812, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236825, 236832, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 30297, 66300, 827, 13659, 147716, 23254, 168212, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236761, 236828, 236764, 623, 2204, 27975, 1083, 11058, 61436, 74409, 36667, 827, 623, 98472, 78818, 152254, 3714, 1201, 1083, 623, 46640, 63010, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236770, 236770, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 178206, 36161, 827, 13659, 13149, 66207, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236812, 236764, 623, 2204, 27975, 1083, 11058, 13811, 9870, 2546, 827, 623, 17831, 525, 37747, 152254, 3714, 1201, 1083, 623, 184402, 166858, 827, 623, 547, 1083, 623, 9307, 236779, 236770, 236778, 236778, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 13743, 56003, 522, 827, 13659, 43335, 105411, 832, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236761, 236770, 236764, 623, 2204, 27975, 1083, 11058, 102841, 78179, 827, 623, 184402, 33879, 152254, 3714, 1201, 1083, 623, 19924, 833, 64542, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236800, 236800, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 65153, 1275, 105411, 3999, 827, 13659, 34703, 97447, 123556, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236761, 236819, 236764, 623, 2204, 27975, 1083, 11058, 105411, 3999, 42356, 827, 623, 16900, 2265, 142389, 152254, 3714, 1201, 1083, 623, 25174, 12096, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236828, 236828, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 66057, 25174, 104628, 827, 13659, 46640, 137187, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236825, 236764, 623, 2204, 27975, 1083, 11058, 236823, 179228, 41327, 827, 623, 25174, 37045, 2302, 152254, 3714, 1201, 1083, 623, 115232, 16661, 827, 623, 547, 1083, 623, 9307, 236779, 236770, 236812, 236812, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 39316, 105411, 3999, 827, 13659, 7741, 61569, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236825, 236761, 236778, 236764, 623, 2204, 27975, 1083, 11058, 19574, 236759, 200803, 827, 623, 71835, 71107, 152254, 3714, 1201, 1083, 623, 69416, 528, 166858, 827, 623, 547, 1083, 623, 9307, 236779, 236770, 236771, 236810, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 35153, 105411, 3999, 827, 13659, 115232, 29235, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236761, 236812, 236764, 623, 2204, 27975, 1083, 11058, 150008, 140812, 827, 623, 48930, 774, 13000, 99471, 1604, 623, 6725, 236779, 27975, 1083, 236743, 236810, 236828, 236764, 623, 4243, 3986, 1111, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 10479, 236779, 103411, 1083, 3714, 2003, 1083, 623, 500, 113458, 827, 623, 19031, 1083, 3714, 3278, 236779, 6875, 1083, 623, 45737, 3999, 900, 3399, 4749, 573, 40102, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 659, 506, 1346, 7798, 12669, 573, 822, 3399, 49115, 18669, 657, 506, 9550, 3988, 236764, 3008, 607, 10340, 118252, 532, 19317, 236787, 108, 1018, 8534, 150170, 573, 5180, 12209, 53121, 107, 236770, 236761, 5213, 46640, 36667, 1018, 568, 69694, 665, 236787, 236743, 236828, 236761, 236819, 236786, 236770, 236771, 236768, 138, 107, 139, 236772, 161840, 4073, 236787, 997, 46640, 105411, 3999, 997, 66057, 236811, 36778, 138, 107, 139, 236772, 5375, 27975, 236787, 12263, 101569, 236764, 77362, 62503, 138, 108, 236778, 236761, 5213, 51551, 45600, 1018, 568, 236832, 236761, 236825, 236786, 236770, 236771, 236768, 138, 107, 139, 236772, 161840, 4073, 236787, 997, 14009, 229844, 997, 51551, 236394, 138, 107, 139, 236772, 5375, 27975, 236787, 122354, 236764, 8779, 87176, 138, 108, 236800, 236761, 5213, 13149, 31698, 1018, 568, 236819, 236761, 236770, 236786, 236770, 236771, 236768, 138, 107, 139, 236772, 161840, 4073, 236787, 997, 17698, 19033, 997, 46640, 28637, 138, 107, 139, 236772, 5375, 27975, 236787, 122354, 236764, 151945, 138, 108, 236812, 236761, 5213, 143389, 528, 166858, 1018, 568, 236825, 236761, 236810, 236786, 236770, 236771, 236768, 138, 107, 139, 236772, 161840, 4073, 236787, 997, 141867, 105411, 3999, 997, 124061, 31810, 138, 107, 139, 236772, 5375, 27975, 236787, 123434, 146178, 236764, 13474, 181595, 138, 108, 1018, 27779, 140604, 53121, 138, 107, 236772, 70535, 12669, 236787, 6890, 997, 46640, 105411, 3999, 568, 2543, 11493, 36667, 236768, 900, 997, 51551, 236394, 568, 2543, 19563, 45600, 236768, 573, 20054, 5370, 236761, 138, 107, 236772, 118189, 24488, 236787, 997, 147716, 83899, 105411, 832, 568, 2543, 48233, 166858, 236764, 236743, 236828, 236761, 236778, 236786, 236770, 236771, 769, 138, 107, 236772, 137615, 4993, 236787, 997, 105411, 3999, 60237, 568, 2543, 166858, 9426, 236764, 236743, 236828, 236761, 236771, 236786, 236770, 236771, 769, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 91820, 784, 16616, 573, 496, 3530, 8038, 568, 236744, 236761, 236759, 1126, 623, 51551, 45600, 1373, 236881, 138, 107, 236778, 236761, 7179, 506, 24711, 529, 3530, 118252, 568, 236744, 236761, 236759, 1126, 997, 46640, 105411, 3999, 20625, 138, 107, 236800, 236761, 30235, 580, 36453, 236772, 10619, 16616, 573, 40102, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 178829, 106, 107, 105, 2364, 107, 30092, 611, 33205, 784, 16616, 10916, 1208, 506, 623, 51551, 45600, 236775, 8038, 236881, 564, 1461, 531, 5330, 1023, 18669, 236789, 236751, 2777, 4009, 7073, 5132, 1418, 7798, 68324, 573, 17154, 9862, 12795, 528, 1023, 3399, 236761, 6542, 236764, 5091, 2426, 768, 1027, 529, 506, 1159, 27975, 1133, 623, 9004, 22742, 236775, 653, 623, 30222, 87176, 236775, 735, 4767, 16616, 692, 1374, 1966, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19112, 1083, 11058, 236865, 51551, 93035, 827, 13659, 9004, 22742, 2542, 236773, 9257, 913, 827, 13659, 51551, 30222, 1829, 24611, 827, 13659, 46640, 227187, 827, 13659, 56132, 38820, 46297, 827, 13659, 51551, 236394, 827, 13659, 3845, 144964, 166849, 827, 13659, 13149, 51551, 19033, 14255, 623, 10618, 236779, 547, 1083, 623, 9307, 236779, 236771, 236812, 236810, 827, 623, 2204, 27975, 236779, 109982, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 3530, 16616, 573, 506, 5213, 51551, 45600, 1018, 8038, 568, 1735, 236787, 5866, 236779, 236771, 236812, 236810, 779, 2440, 1724, 4596, 531, 1061, 1159, 27975, 1133, 623, 9004, 22742, 236775, 532, 623, 30222, 87176, 1083, 108, 1018, 32663, 161840, 4073, 573, 19563, 45600, 53121, 107, 236772, 997, 51551, 93035, 138, 107, 236772, 997, 9004, 22742, 2542, 236773, 9257, 913, 138, 107, 236772, 997, 51551, 30222, 1829, 24611, 138, 107, 236772, 997, 46640, 227187, 138, 107, 236772, 997, 56132, 38820, 46297, 138, 107, 236772, 997, 51551, 236394, 138, 107, 236772, 997, 3845, 144964, 166849, 138, 107, 236772, 997, 13149, 51551, 19033, 138, 108, 10354, 8922, 3143, 36085, 236787, 107, 236772, 5213, 236865, 9004, 22742, 2542, 236773, 9257, 913, 1018, 5467, 100146, 607, 822, 2460, 1722, 236761, 138, 107, 236772, 5213, 236865, 51551, 30222, 1829, 24611, 1018, 532, 5213, 236865, 46640, 227187, 1018, 1601, 5370, 42990, 5158, 40102, 236761, 138, 107, 236772, 5213, 236865, 3845, 144964, 166849, 1018, 1451, 7440, 15036, 21736, 653, 2523, 3295, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 7179, 506, 24711, 529, 3530, 118252, 568, 236744, 236761, 236759, 1126, 1217, 1551, 12714, 1161, 5213, 236865, 9004, 22742, 2542, 236773, 9257, 913, 1018, 20625, 138, 107, 236778, 236761, 91820, 4889, 1003, 506, 19563, 45600, 8038, 568, 236744, 236761, 236759, 1126, 29141, 653, 14120, 20673, 20625, 138, 107, 236800, 236761, 30235, 580, 16616, 573, 496, 3530, 1159, 10618, 1133, 623, 9004, 22742, 51653, 138, 108, 6481, 786, 1281, 1217, 531, 59638, 3342, 236888, 236743, 244608, 106, 107, 105, 2364, 107, 30092, 611, 2426, 506, 24711, 529, 506, 997, 9004, 22742, 2542, 236773, 9257, 913, 532, 997, 51551, 93035, 118252, 10916, 236881, 564, 236858, 236753, 1133, 531, 1281, 1217, 1551, 12714, 1161, 1239, 16616, 531, 20138, 910, 20294, 573, 1023, 7073, 236761, 6542, 236764, 659, 993, 1027, 1032, 6436, 692, 1451, 1161, 531, 59638, 1023, 7545, 3342, 236881, 178829, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 2861, 1083, 236743, 236770, 236810, 236778, 236800, 236771, 236764, 623, 235707, 1083, 623, 9004, 22742, 2542, 236773, 9257, 913, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 9088, 1083, 623, 51551, 93035, 827, 623, 2861, 1083, 236743, 236770, 236812, 236828, 236778, 236800, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 24711, 1262, 573, 506, 15633, 118252, 236787, 108, 236772, 5213, 236865, 9004, 22742, 2542, 236773, 9257, 913, 66515, 236743, 236770, 236810, 236764, 236778, 236800, 236771, 12714, 138, 107, 236772, 5213, 236865, 51551, 93035, 66515, 236743, 236770, 236812, 236764, 236828, 236778, 236800, 12714, 138, 108, 22186, 16616, 659, 12865, 1456, 532, 5225, 573, 17154, 40102, 236761, 1701, 4403, 236787, 138, 107, 236772, 5213, 236865, 51551, 93035, 1018, 815, 8427, 25898, 5370, 568, 236770, 236812, 236761, 236828, 236767, 7728, 236761, 236743, 236770, 236810, 236761, 236778, 236767, 12714, 769, 138, 107, 236772, 5213, 236865, 9004, 22742, 2542, 236773, 9257, 913, 1018, 563, 6112, 3530, 531, 822, 2460, 1722, 236764, 3043, 625, 7436, 573, 28307, 236761, 138, 108, 10354, 34428, 10867, 29357, 25373, 236787, 138, 107, 236770, 236761, 5213, 68793, 607, 5375, 10618, 64663, 66515, 138, 107, 139, 10896, 16616, 1133, 5213, 236865, 3845, 144964, 166849, 1018, 568, 2543, 19563, 45600, 1159, 27975, 236768, 531, 7440, 15036, 21736, 653, 7965, 236761, 138, 108, 236778, 236761, 5213, 6845, 23223, 20303, 66515, 138, 107, 139, 10896, 2165, 828, 236779, 10618, 236929, 573, 623, 51551, 45600, 236775, 568, 1735, 236787, 2165, 9307, 236779, 236771, 236812, 236810, 18833, 531, 33205, 9239, 8283, 1133, 29141, 653, 14120, 15067, 236761, 138, 108, 236800, 236761, 5213, 80182, 32114, 51552, 66515, 138, 107, 139, 2542, 2591, 236764, 6727, 607, 5213, 236865, 46640, 105411, 3999, 1018, 568, 2543, 506, 623, 46640, 36667, 236775, 8038, 236764, 236743, 236828, 236761, 236819, 236786, 236770, 236771, 24711, 236768, 531, 22223, 49115, 532, 9550, 15154, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 91820, 4889, 573, 506, 19563, 45600, 8038, 568, 236744, 236761, 236759, 1126, 29141, 236764, 28436, 20625, 138, 107, 236778, 236761, 59336, 496, 9292, 68324, 7545, 1699, 5065, 12669, 236881, 138, 108, 6481, 786, 1281, 1217, 531, 7162, 236888, 178829, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 2777, 4009, 16616, 573, 506, 3399, 49115, 18669, 564, 236789, 236757, 6995, 657, 506, 9550, 3988, 236761, 28344, 611, 1171, 33205, 784, 2487, 12669, 4596, 531, 49115, 532, 3399, 4749, 236881, 564, 1461, 531, 5330, 692, 236789, 500, 1699, 506, 1346, 7798, 118252, 531, 7440, 11383, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27975, 1083, 78493, 1201, 1083, 623, 46640, 36667, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236771, 236770, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 46640, 105411, 3999, 827, 13659, 66057, 236811, 36778, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236819, 236764, 623, 2204, 27975, 1083, 11058, 13149, 101569, 827, 623, 218799, 62503, 152254, 3714, 1201, 1083, 623, 51551, 45600, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236812, 236810, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 14009, 229844, 827, 13659, 51551, 236394, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236761, 236825, 236764, 623, 2204, 27975, 1083, 11058, 9004, 22742, 827, 623, 30222, 87176, 152254, 3714, 1201, 1083, 623, 174779, 166858, 827, 623, 547, 1083, 623, 9307, 236779, 236770, 236770, 236778, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 147716, 83899, 105411, 832, 827, 13659, 1558, 120136, 60237, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236778, 236764, 623, 2204, 27975, 1083, 11058, 17390, 29329, 827, 623, 99969, 21142, 152254, 3714, 1201, 1083, 623, 3845, 144964, 41327, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236832, 236828, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 122949, 3133, 236773, 9257, 913, 827, 13659, 46640, 236799, 63021, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236825, 236761, 236828, 236764, 623, 2204, 27975, 1083, 11058, 66078, 13628, 827, 623, 50384, 37747, 152254, 3714, 1201, 1083, 623, 115232, 7803, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236778, 236800, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 70980, 201298, 827, 13659, 115232, 236776, 149001, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236761, 236800, 236764, 623, 2204, 27975, 1083, 11058, 8629, 166858, 827, 623, 37202, 36667, 152254, 3714, 1201, 1083, 623, 13149, 31698, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236819, 236819, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 17698, 19033, 827, 13659, 46640, 28637, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236819, 236761, 236770, 236764, 623, 2204, 27975, 1083, 11058, 9004, 22742, 827, 623, 65556, 31776, 152254, 3714, 1201, 1083, 623, 105411, 3999, 9426, 827, 623, 547, 1083, 623, 9307, 236779, 236770, 236800, 236812, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 105411, 3999, 60237, 827, 13659, 56003, 31458, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236771, 236764, 623, 2204, 27975, 1083, 11058, 9004, 22742, 827, 623, 31335, 71414, 152254, 3714, 1201, 1083, 623, 143389, 528, 166858, 827, 623, 547, 1083, 623, 9307, 236779, 236770, 236810, 236825, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 141867, 105411, 3999, 827, 13659, 124061, 31810, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236825, 236761, 236810, 236764, 623, 2204, 27975, 1083, 11058, 178347, 146178, 827, 623, 7741, 181595, 152254, 3714, 1201, 1083, 623, 30297, 44812, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236825, 236832, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 30297, 66300, 827, 13659, 147716, 23254, 168212, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236761, 236828, 236764, 623, 2204, 27975, 1083, 11058, 61436, 74409, 36667, 827, 623, 98472, 78818, 152254, 3714, 1201, 1083, 623, 46640, 63010, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236770, 236770, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 178206, 36161, 827, 13659, 13149, 66207, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236812, 236764, 623, 2204, 27975, 1083, 11058, 13811, 9870, 2546, 827, 623, 17831, 525, 37747, 152254, 3714, 1201, 1083, 623, 184402, 166858, 827, 623, 547, 1083, 623, 9307, 236779, 236770, 236778, 236778, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 13743, 56003, 522, 827, 13659, 43335, 105411, 832, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236761, 236770, 236764, 623, 2204, 27975, 1083, 11058, 102841, 78179, 827, 623, 184402, 33879, 152254, 3714, 1201, 1083, 623, 19924, 833, 64542, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236800, 236800, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 65153, 1275, 105411, 3999, 827, 13659, 34703, 97447, 123556, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236761, 236819, 236764, 623, 2204, 27975, 1083, 11058, 105411, 3999, 42356, 827, 623, 16900, 2265, 142389, 152254, 3714, 1201, 1083, 623, 25174, 12096, 827, 623, 547, 1083, 623, 9307, 236779, 236771, 236828, 236828, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 66057, 25174, 104628, 827, 13659, 46640, 137187, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236825, 236764, 623, 2204, 27975, 1083, 11058, 236823, 179228, 41327, 827, 623, 25174, 37045, 2302, 152254, 3714, 1201, 1083, 623, 115232, 16661, 827, 623, 547, 1083, 623, 9307, 236779, 236770, 236812, 236812, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 39316, 105411, 3999, 827, 13659, 7741, 61569, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236825, 236761, 236778, 236764, 623, 2204, 27975, 1083, 11058, 19574, 236759, 200803, 827, 623, 71835, 71107, 152254, 3714, 1201, 1083, 623, 69416, 528, 166858, 827, 623, 547, 1083, 623, 9307, 236779, 236770, 236771, 236810, 827, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 35153, 105411, 3999, 827, 13659, 115232, 29235, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236832, 236761, 236812, 236764, 623, 2204, 27975, 1083, 11058, 150008, 140812, 827, 623, 48930, 774, 13000, 99471, 1604, 623, 6725, 236779, 27975, 1083, 236743, 236810, 236828, 236764, 623, 4243, 3986, 1111, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 10479, 236779, 103411, 1083, 3714, 2003, 1083, 623, 500, 113458, 827, 623, 19031, 1083, 3714, 3278, 236779, 6875, 1083, 623, 45737, 3999, 900, 3399, 4749, 573, 40102, 236775, 19465, 106, 107, 105, 4368, 107, 8291, 659, 506, 1346, 7798, 12669, 573, 822, 3399, 49115, 18669, 657, 506, 9550, 3988, 236764, 3008, 607, 10340, 118252, 532, 19317, 236787, 108, 1018, 8534, 150170, 573, 5180, 12209, 53121, 107, 236770, 236761, 5213, 46640, 36667, 1018, 568, 69694, 665, 236787, 236743, 236828, 236761, 236819, 236786, 236770, 236771, 236768, 138, 107, 139, 236772, 161840, 4073, 236787, 997, 46640, 105411, 3999, 997, 66057, 236811, 36778, 138, 107, 139, 236772, 5375, 27975, 236787, 12263, 101569, 236764, 77362, 62503, 138, 108, 236778, 236761, 5213, 51551, 45600, 1018, 568, 236832, 236761, 236825, 236786, 236770, 236771, 236768, 138, 107, 139, 236772, 161840, 4073, 236787, 997, 14009, 229844, 997, 51551, 236394, 138, 107, 139, 236772, 5375, 27975, 236787, 122354, 236764, 8779, 87176, 138, 108, 236800, 236761, 5213, 13149, 31698, 1018, 568, 236819, 236761, 236770, 236786, 236770, 236771, 236768, 138, 107, 139, 236772, 161840, 4073, 236787, 997, 17698, 19033, 997, 46640, 28637, 138, 107, 139, 236772, 5375, 27975, 236787, 122354, 236764, 151945, 138, 108, 236812, 236761, 5213, 143389, 528, 166858, 1018, 568, 236825, 236761, 236810, 236786, 236770, 236771, 236768, 138, 107, 139, 236772, 161840, 4073, 236787, 997, 141867, 105411, 3999, 997, 124061, 31810, 138, 107, 139, 236772, 5375, 27975, 236787, 123434, 146178, 236764, 13474, 181595, 138, 108, 1018, 27779, 140604, 53121, 138, 107, 236772, 70535, 12669, 236787, 6890, 997, 46640, 105411, 3999, 568, 2543, 11493, 36667, 236768, 900, 997, 51551, 236394, 568, 2543, 19563, 45600, 236768, 573, 20054, 5370, 236761, 138, 107, 236772, 118189, 24488, 236787, 997, 147716, 83899, 105411, 832, 568, 2543, 48233, 166858, 236764, 236743, 236828, 236761, 236778, 236786, 236770, 236771, 769, 138, 107, 236772, 137615, 4993, 236787, 997, 105411, 3999, 60237, 568, 2543, 166858, 9426, 236764, 236743, 236828, 236761, 236771, 236786, 236770, 236771, 769, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 91820, 784, 16616, 573, 496, 3530, 8038, 568, 236744, 236761, 236759, 1126, 623, 51551, 45600, 1373, 236881, 138, 107, 236778, 236761, 7179, 506, 24711, 529, 3530, 118252, 568, 236744, 236761, 236759, 1126, 997, 46640, 105411, 3999, 20625, 138, 107, 236800, 236761, 30235, 580, 36453, 236772, 10619, 16616, 573, 40102, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 178829, 106, 107, 105, 2364, 107, 30092, 611, 33205, 784, 16616, 10916, 1208, 506, 623, 51551, 45600, 236775, 8038, 236881, 564, 1461, 531, 5330, 1023, 18669, 236789, 236751, 2777, 4009, 7073, 5132, 1418, 7798, 68324, 573, 17154, 9862, 12795, 528, 1023, 3399, 236761, 6542, 236764, 5091, 2426, 768, 1027, 529, 506, 1159, 27975, 1133, 623, 9004, 22742, 236775, 653, 623, 30222, 87176, 236775, 735, 4767, 16616, 692, 1374, 1966, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19112, 1083, 11058, 236865, 51551, 93035, 827, 13659, 9004, 22742, 2542, 236773, 9257, 913, 827, 13659, 51551, 30222, 1829, 24611, 827, 13659, 46640, 227187, 827, 13659, 56132, 38820, 46297, 827, 13659, 51551, 236394, 827, 13659, 3845, 144964, 166849, 827, 13659, 13149, 51551, 19033, 14255, 623, 10618, 236779, 547, 1083, 623, 9307, 236779, 236771, 236812, 236810, 827, 623, 2204, 27975, 236779, 109982, 1083, 1847, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 3530, 16616, 573, 506, 5213, 51551, 45600, 1018, 8038, 568, 1735, 236787, 5866, 236779, 236771, 236812, 236810, 779, 2440, 1724, 4596, 531, 1061, 1159, 27975, 1133, 623, 9004, 22742, 236775, 532, 623, 30222, 87176, 1083, 108, 1018, 32663, 161840, 4073, 573, 19563, 45600, 53121, 107, 236772, 997, 51551, 93035, 138, 107, 236772, 997, 9004, 22742, 2542, 236773, 9257, 913, 138, 107, 236772, 997, 51551, 30222, 1829, 24611, 138, 107, 236772, 997, 46640, 227187, 138, 107, 236772, 997, 56132, 38820, 46297, 138, 107, 236772, 997, 51551, 236394, 138, 107, 236772, 997, 3845, 144964, 166849, 138, 107, 236772, 997, 13149, 51551, 19033, 138, 108, 10354, 8922, 3143, 36085, 236787, 107, 236772, 5213, 236865, 9004, 22742, 2542, 236773, 9257, 913, 1018, 5467, 100146, 607, 822, 2460, 1722, 236761, 138, 107, 236772, 5213, 236865, 51551, 30222, 1829, 24611, 1018, 532, 5213, 236865, 46640, 227187, 1018, 1601, 5370, 42990, 5158, 40102, 236761, 138, 107, 236772, 5213, 236865, 3845, 144964, 166849, 1018, 1451, 7440, 15036, 21736, 653, 2523, 3295, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 7179, 506, 24711, 529, 3530, 118252, 568, 236744, 236761, 236759, 1126, 1217, 1551, 12714, 1161, 5213, 236865, 9004, 22742, 2542, 236773, 9257, 913, 1018, 20625, 138, 107, 236778, 236761, 91820, 4889, 1003, 506, 19563, 45600, 8038, 568, 236744, 236761, 236759, 1126, 29141, 653, 14120, 20673, 20625, 138, 107, 236800, 236761, 30235, 580, 16616, 573, 496, 3530, 1159, 10618, 1133, 623, 9004, 22742, 51653, 138, 108, 6481, 786, 1281, 1217, 531, 59638, 3342, 236888, 236743, 244608, 106, 107, 105, 2364, 107, 30092, 611, 2426, 506, 24711, 529, 506, 997, 9004, 22742, 2542, 236773, 9257, 913, 532, 997, 51551, 93035, 118252, 10916, 236881, 564, 236858, 236753, 1133, 531, 1281, 1217, 1551, 12714, 1161, 1239, 16616, 531, 20138, 910, 20294, 573, 1023, 7073, 236761, 6542, 236764, 659, 993, 1027, 1032, 6436, 692, 1451, 1161, 531, 59638, 1023, 7545, 3342, 236881, 178829, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 2861, 1083, 236743, 236770, 236810, 236778, 236800, 236771, 236764, 623, 235707, 1083, 623, 9004, 22742, 2542, 236773, 9257, 913, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 9088, 1083, 623, 51551, 93035, 827, 623, 2861, 1083, 236743, 236770, 236812, 236828, 236778, 236800, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 24711, 1262, 573, 506, 15633, 118252, 236787, 108, 236772, 5213, 236865, 9004, 22742, 2542, 236773, 9257, 913, 66515, 236743, 236770, 236810, 236764, 236778, 236800, 236771, 12714, 138, 107, 236772, 5213, 236865, 51551, 93035, 66515, 236743, 236770, 236812, 236764, 236828, 236778, 236800, 12714, 138, 108, 22186, 16616, 659, 12865, 1456, 532, 5225, 573, 17154, 40102, 236761, 1701, 4403, 236787, 138, 107, 236772, 5213, 236865, 51551, 93035, 1018, 815, 8427, 25898, 5370, 568, 236770, 236812, 236761, 236828, 236767, 7728, 236761, 236743, 236770, 236810, 236761, 236778, 236767, 12714, 769, 138, 107, 236772, 5213, 236865, 9004, 22742, 2542, 236773, 9257, 913, 1018, 563, 6112, 3530, 531, 822, 2460, 1722, 236764, 3043, 625, 7436, 573, 28307, 236761, 138, 108, 10354, 34428, 10867, 29357, 25373, 236787, 138, 107, 236770, 236761, 5213, 68793, 607, 5375, 10618, 64663, 66515, 138, 107, 139, 10896, 16616, 1133, 5213, 236865, 3845, 144964, 166849, 1018, 568, 2543, 19563, 45600, 1159, 27975, 236768, 531, 7440, 15036, 21736, 653, 7965, 236761, 138, 108, 236778, 236761, 5213, 6845, 23223, 20303, 66515, 138, 107, 139, 10896, 2165, 828, 236779, 10618, 236929, 573, 623, 51551, 45600, 236775, 568, 1735, 236787, 2165, 9307, 236779, 236771, 236812, 236810, 18833, 531, 33205, 9239, 8283, 1133, 29141, 653, 14120, 15067, 236761, 138, 108, 236800, 236761, 5213, 80182, 32114, 51552, 66515, 138, 107, 139, 2542, 2591, 236764, 6727, 607, 5213, 236865, 46640, 105411, 3999, 1018, 568, 2543, 506, 623, 46640, 36667, 236775, 8038, 236764, 236743, 236828, 236761, 236819, 236786, 236770, 236771, 24711, 236768, 531, 22223, 49115, 532, 9550, 15154, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 91820, 4889, 573, 506, 19563, 45600, 8038, 568, 236744, 236761, 236759, 1126, 29141, 236764, 28436, 20625, 138, 107, 236778, 236761, 59336, 496, 9292, 68324, 7545, 1699, 5065, 12669, 236881, 138, 108, 6481, 786, 1281, 1217, 531, 7162, 236888, 178829, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 25221, 872, 580, 600, 15130, 14274, 573, 506, 8131, 576, 7417, 6347, 237028, 10825, 786, 6972, 1003, 506, 16038, 66044, 4585, 11109, 75693, 236761, 564, 236858, 236753, 1133, 531, 20138, 1237, 27078, 2101, 506, 2460, 236761, 28344, 611, 18840, 4803, 46331, 1699, 506, 68324, 997, 236791, 185239, 9175, 34399, 57710, 236881, 564, 1461, 531, 5330, 506, 44249, 100146, 607, 506, 14871, 236858, 236751, 10040, 1680, 201585, 506, 15083, 1694, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 236779, 28263, 1083, 3714, 78226, 236779, 126775, 1083, 623, 30558, 827, 623, 30558, 236779, 83027, 236779, 45118, 1083, 236743, 236825, 236828, 236764, 623, 27851, 236779, 83027, 236779, 45118, 1083, 236743, 236778, 236778, 236764, 623, 45258, 236779, 83027, 236779, 45118, 1083, 236743, 236770, 236771, 236764, 623, 3991, 236779, 41427, 1083, 11058, 236865, 236791, 236785, 236756, 236771, 236771, 236744, 236819, 12486, 9175, 34399, 57710, 827, 623, 661, 827, 623, 4873, 665, 827, 623, 120365, 827, 623, 236791, 175616, 14255, 623, 86708, 1083, 78493, 1201, 1083, 623, 16400, 573, 11109, 23865, 827, 623, 45118, 1083, 236743, 236810, 236778, 236764, 623, 36898, 1083, 11058, 73569, 1552, 531, 1894, 593, 236785, 236756, 236771, 236771, 236744, 236819, 12486, 4585, 11109, 236789, 236751, 861, 16236, 17650, 41218, 623, 236791, 175616, 236789, 236751, 3399, 6607, 659, 496, 2290, 236772, 52823, 573, 22403, 236789, 236751, 1610, 8317, 1781, 59117, 3714, 1201, 1083, 623, 3500, 41807, 18485, 827, 623, 45118, 1083, 236743, 236800, 236770, 236764, 623, 36898, 1083, 11058, 8574, 236789, 236745, 4491, 573, 506, 997, 236791, 236785, 236756, 236771, 236771, 236744, 236819, 12486, 9175, 34399, 57710, 753, 1774, 1051, 236789, 236751, 2460, 691, 27983, 41218, 623, 30988, 4448, 531, 9333, 22403, 236789, 236751, 1610, 5670, 657, 135496, 236792, 2148, 2069, 1781, 59117, 3714, 1201, 1083, 623, 211642, 1929, 529, 52505, 37341, 827, 623, 45118, 1083, 236743, 236770, 236832, 236764, 623, 36898, 1083, 11058, 70121, 573, 997, 236791, 236785, 236756, 236771, 236771, 236744, 236819, 12486, 9175, 34399, 57710, 659, 2311, 11162, 573, 20222, 11421, 10498, 623, 236791, 175616, 1374, 2729, 919, 15283, 21212, 54358, 573, 910, 4749, 1781, 21111, 1604, 623, 6011, 1083, 623, 19118, 27078, 100146, 12117, 607, 506, 14871, 236789, 236751, 10040, 236764, 6807, 34194, 573, 25075, 13862, 532, 3399, 4100, 236761, 14066, 25963, 36453, 10928, 528, 877, 236772, 5106, 15840, 531, 14051, 185782, 221476, 623, 28263, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 27078, 3671, 529, 4803, 46331, 1699, 997, 236791, 185239, 9175, 34399, 57710, 21577, 3188, 4414, 25000, 607, 506, 14871, 236858, 236751, 10040, 236787, 108, 236772, 5213, 33062, 162249, 66515, 236743, 236825, 236828, 236908, 4414, 236764, 236743, 236778, 236778, 236908, 5676, 236764, 236743, 236770, 236771, 236908, 12643, 138, 107, 236772, 5213, 3503, 137944, 66515, 138, 107, 138, 236770, 236761, 5213, 16400, 573, 11109, 23865, 1018, 568, 236810, 236778, 236908, 1473, 132928, 573, 135496, 236792, 236858, 236751, 3399, 6607, 532, 16236, 1610, 19898, 236761, 138, 107, 138, 236778, 236761, 5213, 3500, 41807, 18485, 1018, 568, 236800, 236770, 236908, 1473, 140040, 32211, 573, 506, 75693, 236858, 236751, 3435, 532, 22403, 236858, 236751, 1610, 8317, 236761, 138, 107, 138, 236800, 236761, 5213, 211642, 1929, 529, 52505, 37341, 1018, 568, 236770, 236832, 236908, 1473, 4943, 5089, 2597, 21212, 11649, 36453, 573, 20222, 11421, 236761, 138, 108, 1018, 211199, 66515, 118189, 36453, 15955, 528, 877, 236772, 5106, 15840, 568, 236744, 236761, 236759, 1126, 53838, 54358, 653, 33000, 607, 2263, 1610, 4402, 236768, 531, 3421, 10928, 1651, 64004, 506, 95900, 4414, 27078, 236761, 669, 14871, 236858, 236751, 10040, 119636, 12117, 236764, 834, 7162, 607, 10805, 840, 1966, 30981, 531, 88847, 185782, 236761, 106, 107, 105, 2364, 107, 2046, 192716, 506, 19317, 236761, 3792, 236858, 236751, 3421, 600, 36453, 4561, 236761, 28344, 611, 3927, 40718, 573, 5089, 653, 10789, 5143, 607, 22403, 236772, 5140, 1610, 232564, 653, 111880, 236881, 564, 236858, 236753, 1133, 531, 11327, 33000, 573, 53838, 15049, 54358, 236761, 6890, 506, 30136, 756, 120365, 1610, 232564, 236789, 573, 506, 3927, 237028, 60766, 692, 740, 8701, 9780, 531, 41049, 607, 573, 672, 17358, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 11668, 1083, 623, 1327, 5302, 661, 106156, 827, 623, 76647, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 36627, 1083, 623, 179803, 6323, 22403, 236789, 236751, 26407, 1610, 8317, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 1109, 11400, 236772, 11303, 236764, 130235, 236764, 532, 3399, 236772, 27612, 5699, 1109, 32300, 522, 607, 2263, 111880, 573, 15283, 1610, 4993, 827, 623, 13330, 236779, 2883, 1083, 623, 2574, 1411, 177928, 236761, 854, 62509, 1327, 5302, 661, 106156, 23179, 3714, 11668, 1083, 623, 661, 26358, 1327, 5302, 827, 623, 76647, 1083, 236743, 236828, 236819, 236771, 236771, 236764, 623, 36627, 1083, 623, 101068, 11421, 607, 122751, 8904, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236770, 236760, 1109, 9617, 28023, 900, 53838, 2460, 2802, 1109, 997, 120365, 53783, 99261, 804, 4374, 827, 623, 13330, 236779, 2883, 1083, 623, 2574, 1411, 177928, 236761, 854, 62509, 661, 26358, 1327, 5302, 23179, 3714, 11668, 1083, 623, 1327, 5257, 498, 17341, 14865, 827, 623, 76647, 1083, 236743, 236770, 236810, 236825, 236771, 236771, 236764, 623, 36627, 1083, 623, 23423, 629, 1194, 573, 1610, 16960, 528, 22403, 621, 689, 236828, 236800, 236755, 236785, 689, 184968, 1109, 32300, 3447, 236751, 974, 236743, 236778, 236771, 236908, 1135, 9226, 4749, 1109, 22529, 573, 13859, 7760, 827, 623, 13330, 236779, 2883, 1083, 623, 2574, 1411, 177928, 236761, 854, 62509, 1327, 5257, 498, 17341, 14865, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 65141, 524, 236779, 4636, 1083, 11058, 11431, 1392, 1327, 5257, 498, 17341, 14865, 573, 17040, 15049, 36498, 827, 623, 80182, 1392, 661, 26358, 1327, 5302, 236789, 236751, 3399, 2460, 14626, 827, 623, 24496, 1392, 1327, 5302, 661, 106156, 528, 11403, 7009, 99471, 106, 107, 105, 4368, 107, 8291, 659, 1806, 23284, 22403, 236772, 5140, 1610, 232564, 236786, 9181, 72961, 8385, 1343, 40718, 236787, 108, 236770, 236761, 5213, 236940, 1327, 5302, 661, 106156, 1018, 138, 107, 139, 236772, 5213, 27447, 616, 66515, 236743, 236770, 236778, 236761, 236810, 236855, 138, 107, 139, 236772, 5213, 46065, 66515, 30235, 507, 580, 26407, 1610, 18583, 236764, 2198, 236772, 11303, 236764, 532, 3399, 236772, 27612, 5699, 236761, 22230, 607, 2263, 111880, 573, 15283, 1610, 4993, 236761, 138, 107, 139, 236772, 870, 16679, 10297, 5457, 2574, 1411, 177928, 236761, 854, 62509, 1327, 5302, 661, 106156, 236768, 138, 108, 236778, 236761, 5213, 236940, 661, 26358, 1327, 5302, 1018, 138, 107, 139, 236772, 5213, 27447, 616, 66515, 236743, 236828, 236761, 236819, 236855, 138, 107, 139, 236772, 5213, 46065, 66515, 80007, 2196, 28023, 532, 53838, 2460, 2802, 236761, 16091, 529, 506, 997, 120365, 53783, 99261, 804, 236761, 138, 107, 139, 236772, 870, 16679, 10297, 5457, 2574, 1411, 177928, 236761, 854, 62509, 661, 26358, 1327, 5302, 236768, 138, 108, 236800, 236761, 5213, 236940, 1327, 5257, 498, 17341, 14865, 1018, 138, 107, 139, 236772, 5213, 27447, 616, 66515, 236743, 236770, 236810, 236761, 236825, 236855, 138, 107, 139, 236772, 5213, 46065, 66515, 170706, 573, 1610, 16960, 236793, 5469, 236743, 236778, 236771, 236908, 1135, 9226, 4749, 573, 8324, 9780, 236761, 138, 107, 139, 236772, 870, 16679, 10297, 5457, 2574, 1411, 177928, 236761, 854, 62509, 1327, 5257, 498, 17341, 14865, 236768, 138, 108, 1018, 75652, 57354, 66515, 138, 107, 236772, 32300, 607, 5213, 236940, 1327, 5257, 498, 17341, 14865, 1018, 573, 17040, 15049, 36498, 531, 30016, 531, 122751, 8904, 236761, 138, 107, 236772, 200607, 607, 5213, 236940, 661, 26358, 1327, 5302, 1018, 531, 1028, 236772, 6163, 2196, 877, 236772, 5106, 28023, 653, 11723, 53838, 54358, 236761, 138, 107, 236772, 37868, 5213, 236940, 1327, 5302, 661, 106156, 1018, 528, 135496, 236792, 236858, 236751, 7009, 531, 11752, 1131, 910, 82158, 3707, 236761, 138, 108, 2094, 100146, 607, 506, 1237, 236858, 236751, 34194, 573, 3399, 236772, 27612, 1610, 19898, 568, 236810, 236778, 236908, 529, 4414, 27078, 236768, 532, 19246, 15049, 36453, 10928, 5467, 236761, 21284, 611, 1133, 10686, 66582, 43285, 10396, 531, 1239, 6627, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 12262, 43285, 10396, 36443, 531, 1546, 19399, 236858, 236751, 9017, 236761, 1701, 5213, 236940, 1327, 5302, 661, 106156, 125546, 37837, 82158, 13859, 532, 3399, 28023, 236761, 1701, 5213, 236940, 661, 26358, 1327, 5302, 125546, 8357, 1028, 236772, 171067, 2196, 877, 236772, 5106, 14929, 236761, 1701, 5213, 236940, 1327, 5257, 498, 17341, 14865, 125546, 3213, 580, 16960, 236772, 27612, 15049, 5296, 236761, 12213, 496, 8652, 27504, 1003, 135496, 236792, 236858, 236751, 75693, 236764, 4928, 25000, 607, 910, 981, 236764, 532, 20017, 496, 5395, 531, 3249, 11403, 4889, 236761, 17608, 506, 15737, 5707, 840, 6962, 237028, 39441, 659, 3399, 236772, 41889, 4402, 236764, 834, 58542, 11949, 236761, 106, 107, 105, 4368, 107, 8291, 659, 36443, 43285, 10396, 573, 1546, 19399, 236787, 108, 7243, 108, 1018, 236770, 236761, 2282, 1392, 1327, 5302, 661, 106156, 66515, 138, 107, 10979, 870, 1567, 1604, 138, 107, 236777, 236858, 236757, 17154, 855, 699, 66044, 4585, 11109, 22403, 568, 236791, 175616, 779, 1298, 692, 236858, 500, 9775, 531, 4253, 1023, 7384, 997, 236791, 185239, 9175, 34399, 57710, 2148, 2297, 236761, 5180, 981, 154509, 22403, 236858, 236751, 26407, 1610, 8317, 532, 3399, 236772, 27612, 5699, 19297, 100146, 607, 1023, 9017, 531, 31830, 23722, 9226, 9952, 236761, 1191, 236858, 236753, 2765, 531, 11327, 65122, 580, 82158, 19898, 237028, 79125, 496, 7600, 2198, 236772, 1048, 18669, 653, 30918, 2203, 5830, 872, 531, 506, 2460, 236881, 1174, 1451, 2729, 822, 3707, 14417, 15154, 607, 135496, 236792, 1651, 11584, 15283, 1610, 4993, 236761, 138, 108, 38786, 611, 577, 1932, 531, 496, 3823, 2246, 531, 3249, 11403, 7760, 236881, 1191, 236858, 500, 27322, 531, 5330, 672, 2460, 22136, 506, 28239, 236764, 3399, 236772, 134591, 24597, 22403, 563, 3224, 573, 236761, 138, 108, 99257, 23574, 236764, 138, 107, 236840, 11069, 7343, 236842, 138, 107, 236840, 11069, 17310, 236842, 138, 107, 236791, 175616, 8236, 10765, 138, 108, 7243, 108, 1018, 236778, 236761, 2282, 1392, 661, 26358, 1327, 5302, 66515, 138, 107, 9259, 870, 1567, 1604, 138, 107, 236791, 175616, 236858, 236751, 16038, 75693, 17269, 531, 17159, 22403, 236858, 236751, 1610, 3399, 236764, 532, 822, 12601, 531, 2196, 28023, 532, 9226, 16960, 119636, 12117, 607, 1023, 10040, 236761, 1191, 236858, 236753, 2765, 531, 1028, 236772, 3663, 877, 236772, 5106, 14929, 607, 611, 237028, 183082, 22293, 496, 2196, 3399, 1610, 6478, 653, 8309, 8699, 607, 2263, 11421, 618, 496, 2080, 236772, 495, 531, 506, 75693, 236888, 1174, 1451, 992, 3204, 53838, 15049, 2802, 573, 822, 3707, 236761, 138, 108, 14219, 611, 2487, 573, 496, 8652, 5395, 672, 2069, 531, 78543, 6549, 236881, 1191, 236858, 500, 6412, 13696, 684, 822, 997, 120365, 53783, 99261, 804, 981, 532, 1093, 1550, 822, 11521, 580, 3043, 506, 2460, 33599, 531, 784, 236761, 138, 108, 17043, 236764, 138, 107, 236840, 11069, 7343, 236842, 138, 107, 236840, 11069, 17310, 236842, 138, 107, 236791, 175616, 11493, 63010, 138, 108, 7243, 108, 1018, 236800, 236761, 2282, 1392, 1327, 5257, 498, 17341, 14865, 66515, 138, 107, 10979, 870, 1567, 1604, 138, 107, 1882, 236858, 500, 201585, 6614, 573, 135496, 236792, 236858, 236751, 997, 236791, 185239, 9175, 34399, 57710, 532, 5048, 531, 3371, 1003, 16960, 236772, 27612, 19898, 236761, 5180, 44038, 573, 1610, 36453, 100146, 13275, 607, 1023, 5671, 531, 6778, 23722, 2802, 531, 9226, 4749, 236761, 1191, 236858, 236753, 2765, 531, 8324, 580, 60724, 53838, 15049, 54358, 531, 122751, 8904, 532, 22260, 17040, 15049, 6607, 573, 38911, 85505, 1133, 23149, 236761, 138, 108, 30092, 692, 10368, 496, 2246, 531, 3249, 1217, 692, 2473, 3904, 672, 11403, 236881, 5180, 236743, 236778, 236771, 236908, 12223, 2028, 563, 32977, 236764, 532, 692, 236858, 236753, 8349, 6549, 531, 5330, 506, 2460, 12765, 22403, 236858, 236751, 12801, 9578, 18481, 236761, 138, 108, 99257, 586, 236764, 138, 107, 236840, 11069, 7343, 236842, 138, 107, 236840, 11069, 17310, 236842, 138, 107, 236791, 175616, 115670, 10765, 138, 108, 7243, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236772, 19092, 969, 1546, 3618, 607, 506, 27945, 236858, 236751, 1463, 568, 584, 2487, 236768, 532, 822, 3662, 4889, 236761, 138, 107, 236772, 12213, 135496, 236792, 236858, 236751, 2460, 4889, 568, 1896, 236764, 7824, 236764, 4044, 2907, 3622, 90152, 236761, 138, 107, 236772, 22177, 872, 607, 496, 5154, 2246, 653, 22529, 768, 951, 3072, 2351, 236743, 236812, 236828, 3885, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 1239, 66786, 3342, 653, 7162, 607, 15656, 1091, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 25221, 872, 580, 600, 15130, 14274, 573, 506, 8131, 576, 7417, 6347, 237028, 10825, 786, 6972, 1003, 506, 16038, 66044, 4585, 11109, 75693, 236761, 564, 236858, 236753, 1133, 531, 20138, 1237, 27078, 2101, 506, 2460, 236761, 28344, 611, 18840, 4803, 46331, 1699, 506, 68324, 997, 236791, 185239, 9175, 34399, 57710, 236881, 564, 1461, 531, 5330, 506, 44249, 100146, 607, 506, 14871, 236858, 236751, 10040, 1680, 201585, 506, 15083, 1694, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 126775, 236779, 28263, 1083, 3714, 78226, 236779, 126775, 1083, 623, 30558, 827, 623, 30558, 236779, 83027, 236779, 45118, 1083, 236743, 236825, 236828, 236764, 623, 27851, 236779, 83027, 236779, 45118, 1083, 236743, 236778, 236778, 236764, 623, 45258, 236779, 83027, 236779, 45118, 1083, 236743, 236770, 236771, 236764, 623, 3991, 236779, 41427, 1083, 11058, 236865, 236791, 236785, 236756, 236771, 236771, 236744, 236819, 12486, 9175, 34399, 57710, 827, 623, 661, 827, 623, 4873, 665, 827, 623, 120365, 827, 623, 236791, 175616, 14255, 623, 86708, 1083, 78493, 1201, 1083, 623, 16400, 573, 11109, 23865, 827, 623, 45118, 1083, 236743, 236810, 236778, 236764, 623, 36898, 1083, 11058, 73569, 1552, 531, 1894, 593, 236785, 236756, 236771, 236771, 236744, 236819, 12486, 4585, 11109, 236789, 236751, 861, 16236, 17650, 41218, 623, 236791, 175616, 236789, 236751, 3399, 6607, 659, 496, 2290, 236772, 52823, 573, 22403, 236789, 236751, 1610, 8317, 1781, 59117, 3714, 1201, 1083, 623, 3500, 41807, 18485, 827, 623, 45118, 1083, 236743, 236800, 236770, 236764, 623, 36898, 1083, 11058, 8574, 236789, 236745, 4491, 573, 506, 997, 236791, 236785, 236756, 236771, 236771, 236744, 236819, 12486, 9175, 34399, 57710, 753, 1774, 1051, 236789, 236751, 2460, 691, 27983, 41218, 623, 30988, 4448, 531, 9333, 22403, 236789, 236751, 1610, 5670, 657, 135496, 236792, 2148, 2069, 1781, 59117, 3714, 1201, 1083, 623, 211642, 1929, 529, 52505, 37341, 827, 623, 45118, 1083, 236743, 236770, 236832, 236764, 623, 36898, 1083, 11058, 70121, 573, 997, 236791, 236785, 236756, 236771, 236771, 236744, 236819, 12486, 9175, 34399, 57710, 659, 2311, 11162, 573, 20222, 11421, 10498, 623, 236791, 175616, 1374, 2729, 919, 15283, 21212, 54358, 573, 910, 4749, 1781, 21111, 1604, 623, 6011, 1083, 623, 19118, 27078, 100146, 12117, 607, 506, 14871, 236789, 236751, 10040, 236764, 6807, 34194, 573, 25075, 13862, 532, 3399, 4100, 236761, 14066, 25963, 36453, 10928, 528, 877, 236772, 5106, 15840, 531, 14051, 185782, 221476, 623, 28263, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 27078, 3671, 529, 4803, 46331, 1699, 997, 236791, 185239, 9175, 34399, 57710, 21577, 3188, 4414, 25000, 607, 506, 14871, 236858, 236751, 10040, 236787, 108, 236772, 5213, 33062, 162249, 66515, 236743, 236825, 236828, 236908, 4414, 236764, 236743, 236778, 236778, 236908, 5676, 236764, 236743, 236770, 236771, 236908, 12643, 138, 107, 236772, 5213, 3503, 137944, 66515, 138, 107, 138, 236770, 236761, 5213, 16400, 573, 11109, 23865, 1018, 568, 236810, 236778, 236908, 1473, 132928, 573, 135496, 236792, 236858, 236751, 3399, 6607, 532, 16236, 1610, 19898, 236761, 138, 107, 138, 236778, 236761, 5213, 3500, 41807, 18485, 1018, 568, 236800, 236770, 236908, 1473, 140040, 32211, 573, 506, 75693, 236858, 236751, 3435, 532, 22403, 236858, 236751, 1610, 8317, 236761, 138, 107, 138, 236800, 236761, 5213, 211642, 1929, 529, 52505, 37341, 1018, 568, 236770, 236832, 236908, 1473, 4943, 5089, 2597, 21212, 11649, 36453, 573, 20222, 11421, 236761, 138, 108, 1018, 211199, 66515, 118189, 36453, 15955, 528, 877, 236772, 5106, 15840, 568, 236744, 236761, 236759, 1126, 53838, 54358, 653, 33000, 607, 2263, 1610, 4402, 236768, 531, 3421, 10928, 1651, 64004, 506, 95900, 4414, 27078, 236761, 669, 14871, 236858, 236751, 10040, 119636, 12117, 236764, 834, 7162, 607, 10805, 840, 1966, 30981, 531, 88847, 185782, 236761, 106, 107, 105, 2364, 107, 2046, 192716, 506, 19317, 236761, 3792, 236858, 236751, 3421, 600, 36453, 4561, 236761, 28344, 611, 3927, 40718, 573, 5089, 653, 10789, 5143, 607, 22403, 236772, 5140, 1610, 232564, 653, 111880, 236881, 564, 236858, 236753, 1133, 531, 11327, 33000, 573, 53838, 15049, 54358, 236761, 6890, 506, 30136, 756, 120365, 1610, 232564, 236789, 573, 506, 3927, 237028, 60766, 692, 740, 8701, 9780, 531, 41049, 607, 573, 672, 17358, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 11668, 1083, 623, 1327, 5302, 661, 106156, 827, 623, 76647, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 36627, 1083, 623, 179803, 6323, 22403, 236789, 236751, 26407, 1610, 8317, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 1109, 11400, 236772, 11303, 236764, 130235, 236764, 532, 3399, 236772, 27612, 5699, 1109, 32300, 522, 607, 2263, 111880, 573, 15283, 1610, 4993, 827, 623, 13330, 236779, 2883, 1083, 623, 2574, 1411, 177928, 236761, 854, 62509, 1327, 5302, 661, 106156, 23179, 3714, 11668, 1083, 623, 661, 26358, 1327, 5302, 827, 623, 76647, 1083, 236743, 236828, 236819, 236771, 236771, 236764, 623, 36627, 1083, 623, 101068, 11421, 607, 122751, 8904, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236770, 236760, 1109, 9617, 28023, 900, 53838, 2460, 2802, 1109, 997, 120365, 53783, 99261, 804, 4374, 827, 623, 13330, 236779, 2883, 1083, 623, 2574, 1411, 177928, 236761, 854, 62509, 661, 26358, 1327, 5302, 23179, 3714, 11668, 1083, 623, 1327, 5257, 498, 17341, 14865, 827, 623, 76647, 1083, 236743, 236770, 236810, 236825, 236771, 236771, 236764, 623, 36627, 1083, 623, 23423, 629, 1194, 573, 1610, 16960, 528, 22403, 621, 689, 236828, 236800, 236755, 236785, 689, 184968, 1109, 32300, 3447, 236751, 974, 236743, 236778, 236771, 236908, 1135, 9226, 4749, 1109, 22529, 573, 13859, 7760, 827, 623, 13330, 236779, 2883, 1083, 623, 2574, 1411, 177928, 236761, 854, 62509, 1327, 5257, 498, 17341, 14865, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236832, 236764, 623, 65141, 524, 236779, 4636, 1083, 11058, 11431, 1392, 1327, 5257, 498, 17341, 14865, 573, 17040, 15049, 36498, 827, 623, 80182, 1392, 661, 26358, 1327, 5302, 236789, 236751, 3399, 2460, 14626, 827, 623, 24496, 1392, 1327, 5302, 661, 106156, 528, 11403, 7009, 99471, 106, 107, 105, 4368, 107, 8291, 659, 1806, 23284, 22403, 236772, 5140, 1610, 232564, 236786, 9181, 72961, 8385, 1343, 40718, 236787, 108, 236770, 236761, 5213, 236940, 1327, 5302, 661, 106156, 1018, 138, 107, 139, 236772, 5213, 27447, 616, 66515, 236743, 236770, 236778, 236761, 236810, 236855, 138, 107, 139, 236772, 5213, 46065, 66515, 30235, 507, 580, 26407, 1610, 18583, 236764, 2198, 236772, 11303, 236764, 532, 3399, 236772, 27612, 5699, 236761, 22230, 607, 2263, 111880, 573, 15283, 1610, 4993, 236761, 138, 107, 139, 236772, 870, 16679, 10297, 5457, 2574, 1411, 177928, 236761, 854, 62509, 1327, 5302, 661, 106156, 236768, 138, 108, 236778, 236761, 5213, 236940, 661, 26358, 1327, 5302, 1018, 138, 107, 139, 236772, 5213, 27447, 616, 66515, 236743, 236828, 236761, 236819, 236855, 138, 107, 139, 236772, 5213, 46065, 66515, 80007, 2196, 28023, 532, 53838, 2460, 2802, 236761, 16091, 529, 506, 997, 120365, 53783, 99261, 804, 236761, 138, 107, 139, 236772, 870, 16679, 10297, 5457, 2574, 1411, 177928, 236761, 854, 62509, 661, 26358, 1327, 5302, 236768, 138, 108, 236800, 236761, 5213, 236940, 1327, 5257, 498, 17341, 14865, 1018, 138, 107, 139, 236772, 5213, 27447, 616, 66515, 236743, 236770, 236810, 236761, 236825, 236855, 138, 107, 139, 236772, 5213, 46065, 66515, 170706, 573, 1610, 16960, 236793, 5469, 236743, 236778, 236771, 236908, 1135, 9226, 4749, 573, 8324, 9780, 236761, 138, 107, 139, 236772, 870, 16679, 10297, 5457, 2574, 1411, 177928, 236761, 854, 62509, 1327, 5257, 498, 17341, 14865, 236768, 138, 108, 1018, 75652, 57354, 66515, 138, 107, 236772, 32300, 607, 5213, 236940, 1327, 5257, 498, 17341, 14865, 1018, 573, 17040, 15049, 36498, 531, 30016, 531, 122751, 8904, 236761, 138, 107, 236772, 200607, 607, 5213, 236940, 661, 26358, 1327, 5302, 1018, 531, 1028, 236772, 6163, 2196, 877, 236772, 5106, 28023, 653, 11723, 53838, 54358, 236761, 138, 107, 236772, 37868, 5213, 236940, 1327, 5302, 661, 106156, 1018, 528, 135496, 236792, 236858, 236751, 7009, 531, 11752, 1131, 910, 82158, 3707, 236761, 138, 108, 2094, 100146, 607, 506, 1237, 236858, 236751, 34194, 573, 3399, 236772, 27612, 1610, 19898, 568, 236810, 236778, 236908, 529, 4414, 27078, 236768, 532, 19246, 15049, 36453, 10928, 5467, 236761, 21284, 611, 1133, 10686, 66582, 43285, 10396, 531, 1239, 6627, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 12262, 43285, 10396, 36443, 531, 1546, 19399, 236858, 236751, 9017, 236761, 1701, 5213, 236940, 1327, 5302, 661, 106156, 125546, 37837, 82158, 13859, 532, 3399, 28023, 236761, 1701, 5213, 236940, 661, 26358, 1327, 5302, 125546, 8357, 1028, 236772, 171067, 2196, 877, 236772, 5106, 14929, 236761, 1701, 5213, 236940, 1327, 5257, 498, 17341, 14865, 125546, 3213, 580, 16960, 236772, 27612, 15049, 5296, 236761, 12213, 496, 8652, 27504, 1003, 135496, 236792, 236858, 236751, 75693, 236764, 4928, 25000, 607, 910, 981, 236764, 532, 20017, 496, 5395, 531, 3249, 11403, 4889, 236761, 17608, 506, 15737, 5707, 840, 6962, 237028, 39441, 659, 3399, 236772, 41889, 4402, 236764, 834, 58542, 11949, 236761, 106, 107, 105, 4368, 107, 8291, 659, 36443, 43285, 10396, 573, 1546, 19399, 236787, 108, 7243, 108, 1018, 236770, 236761, 2282, 1392, 1327, 5302, 661, 106156, 66515, 138, 107, 10979, 870, 1567, 1604, 138, 107, 236777, 236858, 236757, 17154, 855, 699, 66044, 4585, 11109, 22403, 568, 236791, 175616, 779, 1298, 692, 236858, 500, 9775, 531, 4253, 1023, 7384, 997, 236791, 185239, 9175, 34399, 57710, 2148, 2297, 236761, 5180, 981, 154509, 22403, 236858, 236751, 26407, 1610, 8317, 532, 3399, 236772, 27612, 5699, 19297, 100146, 607, 1023, 9017, 531, 31830, 23722, 9226, 9952, 236761, 1191, 236858, 236753, 2765, 531, 11327, 65122, 580, 82158, 19898, 237028, 79125, 496, 7600, 2198, 236772, 1048, 18669, 653, 30918, 2203, 5830, 872, 531, 506, 2460, 236881, 1174, 1451, 2729, 822, 3707, 14417, 15154, 607, 135496, 236792, 1651, 11584, 15283, 1610, 4993, 236761, 138, 108, 38786, 611, 577, 1932, 531, 496, 3823, 2246, 531, 3249, 11403, 7760, 236881, 1191, 236858, 500, 27322, 531, 5330, 672, 2460, 22136, 506, 28239, 236764, 3399, 236772, 134591, 24597, 22403, 563, 3224, 573, 236761, 138, 108, 99257, 23574, 236764, 138, 107, 236840, 11069, 7343, 236842, 138, 107, 236840, 11069, 17310, 236842, 138, 107, 236791, 175616, 8236, 10765, 138, 108, 7243, 108, 1018, 236778, 236761, 2282, 1392, 661, 26358, 1327, 5302, 66515, 138, 107, 9259, 870, 1567, 1604, 138, 107, 236791, 175616, 236858, 236751, 16038, 75693, 17269, 531, 17159, 22403, 236858, 236751, 1610, 3399, 236764, 532, 822, 12601, 531, 2196, 28023, 532, 9226, 16960, 119636, 12117, 607, 1023, 10040, 236761, 1191, 236858, 236753, 2765, 531, 1028, 236772, 3663, 877, 236772, 5106, 14929, 607, 611, 237028, 183082, 22293, 496, 2196, 3399, 1610, 6478, 653, 8309, 8699, 607, 2263, 11421, 618, 496, 2080, 236772, 495, 531, 506, 75693, 236888, 1174, 1451, 992, 3204, 53838, 15049, 2802, 573, 822, 3707, 236761, 138, 108, 14219, 611, 2487, 573, 496, 8652, 5395, 672, 2069, 531, 78543, 6549, 236881, 1191, 236858, 500, 6412, 13696, 684, 822, 997, 120365, 53783, 99261, 804, 981, 532, 1093, 1550, 822, 11521, 580, 3043, 506, 2460, 33599, 531, 784, 236761, 138, 108, 17043, 236764, 138, 107, 236840, 11069, 7343, 236842, 138, 107, 236840, 11069, 17310, 236842, 138, 107, 236791, 175616, 11493, 63010, 138, 108, 7243, 108, 1018, 236800, 236761, 2282, 1392, 1327, 5257, 498, 17341, 14865, 66515, 138, 107, 10979, 870, 1567, 1604, 138, 107, 1882, 236858, 500, 201585, 6614, 573, 135496, 236792, 236858, 236751, 997, 236791, 185239, 9175, 34399, 57710, 532, 5048, 531, 3371, 1003, 16960, 236772, 27612, 19898, 236761, 5180, 44038, 573, 1610, 36453, 100146, 13275, 607, 1023, 5671, 531, 6778, 23722, 2802, 531, 9226, 4749, 236761, 1191, 236858, 236753, 2765, 531, 8324, 580, 60724, 53838, 15049, 54358, 531, 122751, 8904, 532, 22260, 17040, 15049, 6607, 573, 38911, 85505, 1133, 23149, 236761, 138, 108, 30092, 692, 10368, 496, 2246, 531, 3249, 1217, 692, 2473, 3904, 672, 11403, 236881, 5180, 236743, 236778, 236771, 236908, 12223, 2028, 563, 32977, 236764, 532, 692, 236858, 236753, 8349, 6549, 531, 5330, 506, 2460, 12765, 22403, 236858, 236751, 12801, 9578, 18481, 236761, 138, 108, 99257, 586, 236764, 138, 107, 236840, 11069, 7343, 236842, 138, 107, 236840, 11069, 17310, 236842, 138, 107, 236791, 175616, 115670, 10765, 138, 108, 7243, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236772, 19092, 969, 1546, 3618, 607, 506, 27945, 236858, 236751, 1463, 568, 584, 2487, 236768, 532, 822, 3662, 4889, 236761, 138, 107, 236772, 12213, 135496, 236792, 236858, 236751, 2460, 4889, 568, 1896, 236764, 7824, 236764, 4044, 2907, 3622, 90152, 236761, 138, 107, 236772, 22177, 872, 607, 496, 5154, 2246, 653, 22529, 768, 951, 3072, 2351, 236743, 236812, 236828, 3885, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 1239, 66786, 3342, 653, 7162, 607, 15656, 1091, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1164, 12551, 496, 6083, 529, 1041, 6524, 27351, 12480, 15028, 580, 10365, 870, 8472, 5457, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 56660, 236770, 236778, 236800, 31004, 532, 1461, 531, 1460, 1217, 625, 236789, 236751, 14980, 236761, 3199, 611, 8091, 506, 15154, 20673, 237028, 56652, 236764, 8968, 236764, 12085, 237028, 624, 2426, 837, 118252, 659, 9204, 506, 1346, 8827, 236881, 564, 236858, 236757, 4875, 531, 12222, 1041, 53276, 236858, 236751, 12481, 15028, 1868, 699, 1774, 2069, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10494, 236779, 547, 1083, 623, 236780, 56660, 236770, 236778, 236800, 827, 623, 10494, 236779, 2084, 1083, 623, 14007, 827, 623, 17766, 1083, 3714, 11668, 1083, 623, 8147, 14905, 236779, 147043, 827, 623, 13330, 236779, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 8147, 14905, 236779, 147043, 827, 623, 76647, 1083, 236743, 236828, 236778, 236810, 236771, 236771, 1263, 623, 92506, 1083, 3714, 56652, 1083, 236743, 236770, 236812, 236828, 236778, 236800, 236764, 623, 26329, 1083, 236743, 236828, 236819, 236778, 236764, 623, 158076, 1083, 236743, 236800, 236771, 236832, 236764, 623, 177142, 1083, 236743, 236770, 236819, 236828, 236812, 1263, 623, 75884, 1083, 3714, 3991, 236779, 137112, 4073, 1083, 78493, 9088, 1083, 623, 47554, 98505, 827, 623, 26358, 1083, 236743, 236812, 236770, 236778, 236771, 236771, 1263, 3714, 9088, 1083, 623, 13994, 627, 236755, 19676, 827, 623, 26358, 1083, 236743, 236778, 236828, 236832, 236810, 236771, 1263, 3714, 9088, 1083, 623, 17625, 221668, 827, 623, 26358, 1083, 236743, 236778, 236778, 236812, 236771, 236771, 104960, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 8572, 1083, 623, 236778, 236810, 236772, 236800, 236812, 827, 623, 24385, 236779, 52447, 1083, 3714, 40404, 1083, 236743, 236812, 236778, 236764, 623, 38667, 1083, 236743, 236810, 236828, 5237, 623, 46858, 236779, 92506, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 95845, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3736, 25890, 573, 822, 27351, 12480, 15028, 1868, 568, 1735, 236787, 565, 56660, 236770, 236778, 236800, 1473, 108, 240785, 5213, 227187, 61922, 1018, 107, 236772, 153883, 236787, 236743, 236770, 236812, 236764, 236828, 236778, 236800, 107, 236772, 32213, 236787, 236743, 236828, 236819, 236778, 107, 236772, 85214, 236787, 236743, 236800, 236771, 236832, 107, 236772, 146805, 236787, 236743, 236770, 236764, 236819, 236828, 236812, 108, 251785, 238178, 5213, 8534, 77790, 161840, 4073, 1018, 107, 236770, 236761, 997, 47554, 98505, 568, 236812, 236770, 236761, 236778, 236767, 5370, 236768, 107, 236778, 236761, 997, 13994, 627, 236755, 19676, 568, 236778, 236828, 236761, 236832, 236767, 5370, 236768, 138, 107, 236800, 236761, 997, 17625, 221668, 568, 236778, 236778, 236761, 236812, 236767, 5370, 236768, 108, 252074, 5213, 40282, 1812, 76374, 1018, 107, 236772, 8890, 15154, 990, 236787, 236743, 236832, 236787, 236800, 236771, 8711, 568, 17993, 1868, 691, 657, 236743, 236770, 236778, 236787, 236812, 236810, 8711, 236768, 107, 236772, 21264, 9998, 236787, 236743, 236778, 236810, 236772, 236800, 236812, 1051, 109217, 568, 236810, 236828, 236908, 8256, 236764, 236743, 236812, 236778, 236908, 8937, 236768, 108, 243594, 5213, 181673, 20090, 33879, 1018, 107, 236770, 236761, 14066, 25035, 3361, 3004, 12532, 531, 9137, 3885, 107, 236778, 236761, 4140, 997, 193166, 17625, 568, 236770, 236828, 236761, 236778, 236767, 5370, 528, 822, 36989, 236768, 2148, 990, 107, 236800, 236761, 130009, 607, 192519, 531, 12277, 9553, 568, 17993, 8968, 236786, 177142, 7232, 12205, 3188, 2142, 236768, 108, 11069, 1868, 563, 14980, 47321, 1388, 753, 506, 15975, 236786, 26329, 7232, 568, 236770, 236825, 236761, 236825, 236787, 236770, 236768, 563, 236743, 236800, 236771, 236908, 2480, 1082, 4398, 573, 2780, 3004, 236761, 2088, 1093, 611, 1133, 531, 30726, 822, 2148, 1868, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1164, 12551, 496, 6083, 529, 1041, 6524, 27351, 12480, 15028, 580, 10365, 870, 8472, 5457, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236780, 56660, 236770, 236778, 236800, 31004, 532, 1461, 531, 1460, 1217, 625, 236789, 236751, 14980, 236761, 3199, 611, 8091, 506, 15154, 20673, 237028, 56652, 236764, 8968, 236764, 12085, 237028, 624, 2426, 837, 118252, 659, 9204, 506, 1346, 8827, 236881, 564, 236858, 236757, 4875, 531, 12222, 1041, 53276, 236858, 236751, 12481, 15028, 1868, 699, 1774, 2069, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10494, 236779, 547, 1083, 623, 236780, 56660, 236770, 236778, 236800, 827, 623, 10494, 236779, 2084, 1083, 623, 14007, 827, 623, 17766, 1083, 3714, 11668, 1083, 623, 8147, 14905, 236779, 147043, 827, 623, 13330, 236779, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 8147, 14905, 236779, 147043, 827, 623, 76647, 1083, 236743, 236828, 236778, 236810, 236771, 236771, 1263, 623, 92506, 1083, 3714, 56652, 1083, 236743, 236770, 236812, 236828, 236778, 236800, 236764, 623, 26329, 1083, 236743, 236828, 236819, 236778, 236764, 623, 158076, 1083, 236743, 236800, 236771, 236832, 236764, 623, 177142, 1083, 236743, 236770, 236819, 236828, 236812, 1263, 623, 75884, 1083, 3714, 3991, 236779, 137112, 4073, 1083, 78493, 9088, 1083, 623, 47554, 98505, 827, 623, 26358, 1083, 236743, 236812, 236770, 236778, 236771, 236771, 1263, 3714, 9088, 1083, 623, 13994, 627, 236755, 19676, 827, 623, 26358, 1083, 236743, 236778, 236828, 236832, 236810, 236771, 1263, 3714, 9088, 1083, 623, 17625, 221668, 827, 623, 26358, 1083, 236743, 236778, 236778, 236812, 236771, 236771, 104960, 623, 152303, 236779, 10258, 50376, 1083, 3714, 676, 236779, 8572, 1083, 623, 236778, 236810, 236772, 236800, 236812, 827, 623, 24385, 236779, 52447, 1083, 3714, 40404, 1083, 236743, 236812, 236778, 236764, 623, 38667, 1083, 236743, 236810, 236828, 5237, 623, 46858, 236779, 92506, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 95845, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3736, 25890, 573, 822, 27351, 12480, 15028, 1868, 568, 1735, 236787, 565, 56660, 236770, 236778, 236800, 1473, 108, 240785, 5213, 227187, 61922, 1018, 107, 236772, 153883, 236787, 236743, 236770, 236812, 236764, 236828, 236778, 236800, 107, 236772, 32213, 236787, 236743, 236828, 236819, 236778, 107, 236772, 85214, 236787, 236743, 236800, 236771, 236832, 107, 236772, 146805, 236787, 236743, 236770, 236764, 236819, 236828, 236812, 108, 251785, 238178, 5213, 8534, 77790, 161840, 4073, 1018, 107, 236770, 236761, 997, 47554, 98505, 568, 236812, 236770, 236761, 236778, 236767, 5370, 236768, 107, 236778, 236761, 997, 13994, 627, 236755, 19676, 568, 236778, 236828, 236761, 236832, 236767, 5370, 236768, 138, 107, 236800, 236761, 997, 17625, 221668, 568, 236778, 236778, 236761, 236812, 236767, 5370, 236768, 108, 252074, 5213, 40282, 1812, 76374, 1018, 107, 236772, 8890, 15154, 990, 236787, 236743, 236832, 236787, 236800, 236771, 8711, 568, 17993, 1868, 691, 657, 236743, 236770, 236778, 236787, 236812, 236810, 8711, 236768, 107, 236772, 21264, 9998, 236787, 236743, 236778, 236810, 236772, 236800, 236812, 1051, 109217, 568, 236810, 236828, 236908, 8256, 236764, 236743, 236812, 236778, 236908, 8937, 236768, 108, 243594, 5213, 181673, 20090, 33879, 1018, 107, 236770, 236761, 14066, 25035, 3361, 3004, 12532, 531, 9137, 3885, 107, 236778, 236761, 4140, 997, 193166, 17625, 568, 236770, 236828, 236761, 236778, 236767, 5370, 528, 822, 36989, 236768, 2148, 990, 107, 236800, 236761, 130009, 607, 192519, 531, 12277, 9553, 568, 17993, 8968, 236786, 177142, 7232, 12205, 3188, 2142, 236768, 108, 11069, 1868, 563, 14980, 47321, 1388, 753, 506, 15975, 236786, 26329, 7232, 568, 236770, 236825, 236761, 236825, 236787, 236770, 236768, 563, 236743, 236800, 236771, 236908, 2480, 1082, 4398, 573, 2780, 3004, 236761, 2088, 1093, 611, 1133, 531, 30726, 822, 2148, 1868, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 22293, 496, 2197, 91624, 2148, 2069, 532, 1461, 531, 2056, 2613, 861, 237028, 60766, 496, 32920, 13415, 1699, 179144, 2338, 564, 735, 496, 740, 580, 1526, 236761, 7062, 236764, 532, 506, 15028, 42298, 236743, 236812, 236771, 236771, 31254, 529, 29979, 236764, 840, 564, 1202, 531, 7352, 600, 531, 27370, 573, 8722, 16935, 236761, 3199, 611, 1601, 607, 1800, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 1083, 623, 194821, 102025, 532, 96294, 25891, 827, 623, 77095, 1083, 3714, 574, 936, 58508, 1083, 623, 236770, 740, 568, 236770, 236810, 16109, 22730, 623, 29828, 15202, 1083, 623, 236812, 236771, 236771, 31254, 568, 9869, 236743, 236778, 27370, 43449, 22730, 623, 94438, 1083, 623, 236770, 7860, 236764, 138748, 827, 623, 5359, 788, 1083, 623, 236778, 104582, 236764, 113033, 827, 623, 106052, 236779, 30080, 1083, 623, 236800, 67675, 827, 623, 62251, 30424, 1083, 623, 236770, 51407, 827, 623, 128684, 1083, 623, 236770, 236786, 236778, 51407, 827, 623, 39248, 1083, 623, 1071, 11613, 827, 623, 144793, 1083, 623, 1071, 11613, 23179, 623, 96654, 1083, 623, 236770, 236761, 27213, 26012, 4446, 528, 496, 2197, 1024, 7860, 5387, 236761, 236743, 236778, 236761, 210109, 236785, 236756, 236771, 236771, 236744, 236819, 32159, 532, 29508, 3097, 86322, 236761, 236743, 236800, 236761, 4140, 179144, 236764, 29979, 236764, 129882, 236764, 532, 142513, 236761, 236743, 236812, 236761, 4508, 1042, 573, 236743, 236778, 236771, 4310, 236761, 236743, 236810, 236761, 20273, 607, 9551, 532, 22300, 236761, 68988, 607, 12878, 653, 37163, 236762, 12175, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 2394, 1083, 623, 236778, 236761, 236778, 236778, 27370, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 32920, 34950, 102025, 15028, 532, 30336, 14274, 236787, 108, 1018, 194821, 102025, 833, 96294, 25891, 1018, 138, 107, 246903, 808, 64690, 63508, 138, 107, 236772, 236743, 236770, 740, 568, 236770, 236810, 16109, 236768, 179144, 138, 107, 236772, 236743, 236812, 236771, 236771, 31254, 29979, 16130, 5213, 236778, 236761, 236778, 236778, 27370, 43449, 1018, 568, 107642, 573, 611, 15520, 138, 107, 236772, 236743, 236770, 138748, 32159, 138, 107, 236772, 236743, 236778, 113033, 29508, 104582, 138, 107, 236772, 236743, 236800, 107072, 26012, 4446, 138, 107, 236772, 236743, 236770, 72881, 129882, 138, 107, 236772, 47041, 72881, 142513, 138, 107, 236772, 28501, 833, 22300, 138, 108, 245305, 808, 81851, 63508, 138, 107, 236770, 236761, 555, 49358, 32159, 236786, 5359, 788, 528, 26012, 4446, 138, 107, 236778, 236761, 4140, 179144, 236764, 29979, 236764, 129882, 236764, 532, 142513, 138, 107, 236800, 236761, 4508, 1042, 236743, 236778, 236771, 46205, 138, 107, 236812, 236761, 20273, 532, 7298, 607, 12878, 653, 12175, 138, 108, 11069, 2197, 91624, 12286, 795, 2765, 672, 3606, 236764, 121714, 13415, 236888, 236743, 247167, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 22293, 496, 2197, 91624, 2148, 2069, 532, 1461, 531, 2056, 2613, 861, 237028, 60766, 496, 32920, 13415, 1699, 179144, 2338, 564, 735, 496, 740, 580, 1526, 236761, 7062, 236764, 532, 506, 15028, 42298, 236743, 236812, 236771, 236771, 31254, 529, 29979, 236764, 840, 564, 1202, 531, 7352, 600, 531, 27370, 573, 8722, 16935, 236761, 3199, 611, 1601, 607, 1800, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 1083, 623, 194821, 102025, 532, 96294, 25891, 827, 623, 77095, 1083, 3714, 574, 936, 58508, 1083, 623, 236770, 740, 568, 236770, 236810, 16109, 22730, 623, 29828, 15202, 1083, 623, 236812, 236771, 236771, 31254, 568, 9869, 236743, 236778, 27370, 43449, 22730, 623, 94438, 1083, 623, 236770, 7860, 236764, 138748, 827, 623, 5359, 788, 1083, 623, 236778, 104582, 236764, 113033, 827, 623, 106052, 236779, 30080, 1083, 623, 236800, 67675, 827, 623, 62251, 30424, 1083, 623, 236770, 51407, 827, 623, 128684, 1083, 623, 236770, 236786, 236778, 51407, 827, 623, 39248, 1083, 623, 1071, 11613, 827, 623, 144793, 1083, 623, 1071, 11613, 23179, 623, 96654, 1083, 623, 236770, 236761, 27213, 26012, 4446, 528, 496, 2197, 1024, 7860, 5387, 236761, 236743, 236778, 236761, 210109, 236785, 236756, 236771, 236771, 236744, 236819, 32159, 532, 29508, 3097, 86322, 236761, 236743, 236800, 236761, 4140, 179144, 236764, 29979, 236764, 129882, 236764, 532, 142513, 236761, 236743, 236812, 236761, 4508, 1042, 573, 236743, 236778, 236771, 4310, 236761, 236743, 236810, 236761, 20273, 607, 9551, 532, 22300, 236761, 68988, 607, 12878, 653, 37163, 236762, 12175, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 2394, 1083, 623, 236778, 236761, 236778, 236778, 27370, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 32920, 34950, 102025, 15028, 532, 30336, 14274, 236787, 108, 1018, 194821, 102025, 833, 96294, 25891, 1018, 138, 107, 246903, 808, 64690, 63508, 138, 107, 236772, 236743, 236770, 740, 568, 236770, 236810, 16109, 236768, 179144, 138, 107, 236772, 236743, 236812, 236771, 236771, 31254, 29979, 16130, 5213, 236778, 236761, 236778, 236778, 27370, 43449, 1018, 568, 107642, 573, 611, 15520, 138, 107, 236772, 236743, 236770, 138748, 32159, 138, 107, 236772, 236743, 236778, 113033, 29508, 104582, 138, 107, 236772, 236743, 236800, 107072, 26012, 4446, 138, 107, 236772, 236743, 236770, 72881, 129882, 138, 107, 236772, 47041, 72881, 142513, 138, 107, 236772, 28501, 833, 22300, 138, 108, 245305, 808, 81851, 63508, 138, 107, 236770, 236761, 555, 49358, 32159, 236786, 5359, 788, 528, 26012, 4446, 138, 107, 236778, 236761, 4140, 179144, 236764, 29979, 236764, 129882, 236764, 532, 142513, 138, 107, 236800, 236761, 4508, 1042, 236743, 236778, 236771, 46205, 138, 107, 236812, 236761, 20273, 532, 7298, 607, 12878, 653, 12175, 138, 108, 11069, 2197, 91624, 12286, 795, 2765, 672, 3606, 236764, 121714, 13415, 236888, 236743, 247167, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2619, 614, 21931, 4187, 573, 1023, 222315, 3399, 9226, 4749, 528, 39560, 236761, 3199, 611, 33205, 506, 4187, 8948, 573, 1023, 4456, 236881, 3792, 786, 1281, 768, 611, 1202, 1027, 3530, 4889, 531, 1386, 625, 981, 236761, 106, 107, 105, 4368, 107, 2021, 33205, 506, 4187, 8948, 236764, 564, 236789, 859, 1202, 506, 3530, 8610, 1463, 1298, 822, 4456, 563, 22889, 568, 236744, 236761, 236759, 1126, 623, 1475, 148129, 5644, 1484, 33158, 18582, 236761, 854, 4248, 28344, 611, 5091, 4024, 506, 4453, 8610, 1463, 611, 1461, 531, 1161, 573, 22293, 506, 21931, 4187, 236881, 1174, 22606, 506, 8948, 795, 13707, 9668, 528, 58029, 236761, 106, 107, 105, 2364, 107, 1475, 148129, 5644, 1484, 33158, 37939, 236761, 2187, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3231, 236779, 2451, 1083, 623, 2574, 1411, 26233, 236761, 8358, 236761, 854, 236786, 35990, 3275, 236761, 2092, 236881, 6163, 236784, 1475, 148129, 5644, 1484, 33158, 37939, 236761, 2187, 827, 623, 4818, 1083, 623, 5034, 827, 623, 1114, 1083, 623, 28487, 236772, 114443, 236772, 97688, 236832, 236828, 236778, 236800, 236772, 73140, 3359, 40355, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 21931, 4187, 8948, 10884, 236787, 108, 1018, 8837, 10739, 53121, 138, 107, 236929, 2574, 1411, 26233, 236761, 8358, 236761, 854, 236786, 35990, 3275, 236761, 2092, 236881, 6163, 236784, 1475, 148129, 5644, 1484, 33158, 37939, 236761, 2187, 236929, 108, 1018, 6717, 53121, 138, 107, 240732, 23531, 568, 2788, 531, 1161, 236768, 108, 1018, 87228, 30121, 53121, 138, 107, 236929, 28487, 236772, 114443, 236772, 97688, 236832, 236828, 236778, 236800, 236772, 73140, 3359, 40355, 236929, 108, 2021, 4144, 236787, 107, 236770, 236761, 4140, 672, 8948, 7853, 531, 822, 16167, 236787, 107, 2717, 3185, 107, 236820, 3231, 4474, 718, 2574, 1411, 26233, 236761, 8358, 236761, 854, 236786, 35990, 3275, 236761, 2092, 236881, 6163, 236784, 1475, 148129, 5644, 1484, 33158, 37939, 236761, 2187, 8503, 3231, 236813, 107, 2717, 107, 236778, 236761, 669, 8369, 815, 1010, 11269, 44526, 573, 822, 8610, 236761, 108, 11069, 21931, 4187, 1374, 1492, 981, 573, 222315, 3399, 4749, 528, 39560, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 4187, 61988, 653, 2460, 12434, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2619, 614, 21931, 4187, 573, 1023, 222315, 3399, 9226, 4749, 528, 39560, 236761, 3199, 611, 33205, 506, 4187, 8948, 573, 1023, 4456, 236881, 3792, 786, 1281, 768, 611, 1202, 1027, 3530, 4889, 531, 1386, 625, 981, 236761, 106, 107, 105, 4368, 107, 2021, 33205, 506, 4187, 8948, 236764, 564, 236789, 859, 1202, 506, 3530, 8610, 1463, 1298, 822, 4456, 563, 22889, 568, 236744, 236761, 236759, 1126, 623, 1475, 148129, 5644, 1484, 33158, 18582, 236761, 854, 4248, 28344, 611, 5091, 4024, 506, 4453, 8610, 1463, 611, 1461, 531, 1161, 573, 22293, 506, 21931, 4187, 236881, 1174, 22606, 506, 8948, 795, 13707, 9668, 528, 58029, 236761, 106, 107, 105, 2364, 107, 1475, 148129, 5644, 1484, 33158, 37939, 236761, 2187, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3231, 236779, 2451, 1083, 623, 2574, 1411, 26233, 236761, 8358, 236761, 854, 236786, 35990, 3275, 236761, 2092, 236881, 6163, 236784, 1475, 148129, 5644, 1484, 33158, 37939, 236761, 2187, 827, 623, 4818, 1083, 623, 5034, 827, 623, 1114, 1083, 623, 28487, 236772, 114443, 236772, 97688, 236832, 236828, 236778, 236800, 236772, 73140, 3359, 40355, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 21931, 4187, 8948, 10884, 236787, 108, 1018, 8837, 10739, 53121, 138, 107, 236929, 2574, 1411, 26233, 236761, 8358, 236761, 854, 236786, 35990, 3275, 236761, 2092, 236881, 6163, 236784, 1475, 148129, 5644, 1484, 33158, 37939, 236761, 2187, 236929, 108, 1018, 6717, 53121, 138, 107, 240732, 23531, 568, 2788, 531, 1161, 236768, 108, 1018, 87228, 30121, 53121, 138, 107, 236929, 28487, 236772, 114443, 236772, 97688, 236832, 236828, 236778, 236800, 236772, 73140, 3359, 40355, 236929, 108, 2021, 4144, 236787, 107, 236770, 236761, 4140, 672, 8948, 7853, 531, 822, 16167, 236787, 107, 2717, 3185, 107, 236820, 3231, 4474, 718, 2574, 1411, 26233, 236761, 8358, 236761, 854, 236786, 35990, 3275, 236761, 2092, 236881, 6163, 236784, 1475, 148129, 5644, 1484, 33158, 37939, 236761, 2187, 8503, 3231, 236813, 107, 2717, 107, 236778, 236761, 669, 8369, 815, 1010, 11269, 44526, 573, 822, 8610, 236761, 108, 11069, 21931, 4187, 1374, 1492, 981, 573, 222315, 3399, 4749, 528, 39560, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 4187, 61988, 653, 2460, 12434, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6995, 496, 9735, 7946, 531, 17794, 27893, 532, 1610, 29072, 236761, 3199, 611, 1601, 786, 1586, 506, 1791, 24682, 3541, 100374, 62478, 236764, 2426, 768, 993, 659, 1027, 1610, 236772, 10619, 4749, 13922, 993, 672, 9735, 236764, 532, 1299, 5840, 496, 6290, 9180, 14942, 573, 12441, 1308, 506, 34374, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 164297, 1083, 78493, 1201, 1083, 623, 236780, 68482, 62478, 4025, 34641, 4556, 827, 623, 7720, 1083, 623, 236770, 236771, 236771, 236770, 100374, 62478, 593, 15485, 236762, 236764, 90367, 37359, 236764, 63346, 236743, 236812, 236771, 236819, 236825, 236810, 827, 623, 22860, 1236, 1083, 11058, 181138, 22249, 827, 623, 2153, 1610, 35490, 827, 623, 124977, 30427, 14255, 623, 18582, 236779, 1580, 236779, 197768, 1083, 11058, 46325, 236787, 4585, 528, 15007, 18669, 568, 236770, 236771, 8151, 753, 236743, 236770, 236778, 8711, 22730, 623, 48049, 236787, 148735, 34374, 607, 2263, 8325, 568, 236778, 8711, 753, 236743, 236812, 8711, 236768, 152254, 3714, 1201, 1083, 623, 17224, 26010, 2107, 4556, 827, 623, 7720, 1083, 623, 236778, 236771, 236771, 180090, 3587, 236764, 4969, 53071, 236764, 26493, 236743, 236800, 236832, 236832, 236810, 236778, 827, 623, 22860, 1236, 1083, 11058, 1166, 18115, 694, 7972, 827, 623, 181138, 22249, 14255, 623, 18582, 236779, 1580, 236779, 197768, 1083, 11058, 46325, 236787, 46586, 1610, 19520, 568, 236770, 8711, 753, 236743, 236810, 8711, 236768, 1935, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52283, 1083, 78493, 1201, 1083, 623, 236780, 68482, 62478, 48127, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 62478, 5841, 17713, 236764, 90367, 37359, 236764, 63346, 236743, 236812, 236771, 236819, 236825, 236810, 827, 623, 230586, 1083, 623, 14645, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 5275, 1083, 623, 236825, 236771, 236825, 236772, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 23179, 3714, 1201, 1083, 623, 9175, 16842, 236789, 236751, 6274, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 17587, 5841, 56258, 236764, 90367, 37359, 236764, 63346, 236743, 236812, 236771, 236819, 236825, 236810, 827, 623, 230586, 1083, 623, 120453, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 5275, 1083, 623, 236825, 236771, 236825, 236772, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 23179, 3714, 1201, 1083, 623, 91270, 2834, 54189, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 134937, 23855, 7901, 236764, 90367, 37359, 236764, 63346, 236743, 236812, 236771, 236819, 236825, 236810, 827, 623, 230586, 1083, 623, 9322, 644, 827, 623, 13126, 1083, 236743, 236812, 236761, 236770, 236764, 623, 5275, 1083, 623, 236825, 236771, 236825, 236772, 236810, 236810, 236810, 236772, 236819, 236771, 236770, 236778, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 67722, 9735, 2731, 26614, 27893, 236764, 1610, 236764, 532, 16083, 236787, 108, 10354, 236743, 247221, 5213, 17043, 36962, 833, 4585, 31698, 25634, 100374, 62478, 1018, 107, 236770, 236761, 5213, 236780, 68482, 62478, 4025, 34641, 4556, 1018, 138, 107, 139, 236772, 236743, 244343, 808, 236770, 236771, 236771, 236770, 100374, 62478, 593, 15485, 236762, 236764, 90367, 37359, 236764, 63346, 236743, 236812, 236771, 236819, 236825, 236810, 236829, 138, 107, 139, 236772, 236743, 245838, 5213, 9175, 31698, 1174, 77623, 66515, 138, 107, 141, 236772, 808, 46325, 236743, 236770, 236771, 8151, 236964, 236770, 236778, 8711, 63508, 623, 9175, 528, 15007, 236775, 18669, 568, 3663, 1610, 13696, 684, 506, 10092, 236768, 138, 107, 141, 236772, 808, 48049, 236743, 236778, 8711, 236964, 236812, 8711, 63508, 148735, 34374, 607, 496, 2263, 8325, 568, 108331, 22249, 1651, 24048, 1610, 4083, 236768, 138, 108, 236778, 236761, 5213, 17224, 26010, 2107, 4556, 1018, 138, 107, 139, 236772, 236743, 244343, 808, 236778, 236771, 236771, 180090, 3587, 236764, 4969, 53071, 236764, 26493, 236743, 236800, 236832, 236832, 236810, 236778, 236829, 138, 107, 139, 236772, 236743, 245838, 5213, 9175, 31698, 1174, 77623, 66515, 138, 107, 141, 236772, 808, 46325, 236743, 236770, 8711, 236964, 236810, 8711, 63508, 46586, 35560, 19520, 18482, 10969, 11421, 138, 108, 10354, 236743, 247815, 238178, 5213, 75652, 58302, 24495, 1018, 138, 107, 1018, 9175, 16842, 236789, 236751, 6274, 1018, 138, 107, 236772, 236743, 244343, 808, 236812, 236810, 236825, 17587, 5841, 56258, 236764, 90367, 37359, 236764, 63346, 236743, 236812, 236771, 236819, 236825, 236810, 236829, 568, 4017, 236743, 236810, 4310, 699, 100374, 62478, 4025, 34641, 4556, 236768, 138, 107, 236772, 236743, 242507, 808, 236812, 236761, 236825, 236786, 236810, 14470, 236829, 1109, 47374, 27249, 568, 30466, 76589, 580, 9760, 19292, 236768, 138, 107, 236772, 236743, 246080, 808, 236825, 236771, 236825, 236772, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 236829, 138, 107, 236772, 808, 11355, 625, 236858, 236751, 4011, 63508, 562, 37066, 236764, 1610, 236772, 52728, 9180, 607, 496, 9578, 6831, 237028, 63914, 573, 20571, 5152, 1308, 496, 1719, 529, 27893, 532, 22260, 1237, 1610, 35490, 236761, 9963, 19549, 19292, 22064, 2263, 24394, 34894, 607, 4185, 26899, 236764, 3043, 625, 496, 31803, 1345, 531, 822, 9226, 19063, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 41819, 653, 4767, 4889, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6995, 496, 9735, 7946, 531, 17794, 27893, 532, 1610, 29072, 236761, 3199, 611, 1601, 786, 1586, 506, 1791, 24682, 3541, 100374, 62478, 236764, 2426, 768, 993, 659, 1027, 1610, 236772, 10619, 4749, 13922, 993, 672, 9735, 236764, 532, 1299, 5840, 496, 6290, 9180, 14942, 573, 12441, 1308, 506, 34374, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 164297, 1083, 78493, 1201, 1083, 623, 236780, 68482, 62478, 4025, 34641, 4556, 827, 623, 7720, 1083, 623, 236770, 236771, 236771, 236770, 100374, 62478, 593, 15485, 236762, 236764, 90367, 37359, 236764, 63346, 236743, 236812, 236771, 236819, 236825, 236810, 827, 623, 22860, 1236, 1083, 11058, 181138, 22249, 827, 623, 2153, 1610, 35490, 827, 623, 124977, 30427, 14255, 623, 18582, 236779, 1580, 236779, 197768, 1083, 11058, 46325, 236787, 4585, 528, 15007, 18669, 568, 236770, 236771, 8151, 753, 236743, 236770, 236778, 8711, 22730, 623, 48049, 236787, 148735, 34374, 607, 2263, 8325, 568, 236778, 8711, 753, 236743, 236812, 8711, 236768, 152254, 3714, 1201, 1083, 623, 17224, 26010, 2107, 4556, 827, 623, 7720, 1083, 623, 236778, 236771, 236771, 180090, 3587, 236764, 4969, 53071, 236764, 26493, 236743, 236800, 236832, 236832, 236810, 236778, 827, 623, 22860, 1236, 1083, 11058, 1166, 18115, 694, 7972, 827, 623, 181138, 22249, 14255, 623, 18582, 236779, 1580, 236779, 197768, 1083, 11058, 46325, 236787, 46586, 1610, 19520, 568, 236770, 8711, 753, 236743, 236810, 8711, 236768, 1935, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52283, 1083, 78493, 1201, 1083, 623, 236780, 68482, 62478, 48127, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 62478, 5841, 17713, 236764, 90367, 37359, 236764, 63346, 236743, 236812, 236771, 236819, 236825, 236810, 827, 623, 230586, 1083, 623, 14645, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 5275, 1083, 623, 236825, 236771, 236825, 236772, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 23179, 3714, 1201, 1083, 623, 9175, 16842, 236789, 236751, 6274, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 17587, 5841, 56258, 236764, 90367, 37359, 236764, 63346, 236743, 236812, 236771, 236819, 236825, 236810, 827, 623, 230586, 1083, 623, 120453, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 5275, 1083, 623, 236825, 236771, 236825, 236772, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 23179, 3714, 1201, 1083, 623, 91270, 2834, 54189, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 134937, 23855, 7901, 236764, 90367, 37359, 236764, 63346, 236743, 236812, 236771, 236819, 236825, 236810, 827, 623, 230586, 1083, 623, 9322, 644, 827, 623, 13126, 1083, 236743, 236812, 236761, 236770, 236764, 623, 5275, 1083, 623, 236825, 236771, 236825, 236772, 236810, 236810, 236810, 236772, 236819, 236771, 236770, 236778, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 67722, 9735, 2731, 26614, 27893, 236764, 1610, 236764, 532, 16083, 236787, 108, 10354, 236743, 247221, 5213, 17043, 36962, 833, 4585, 31698, 25634, 100374, 62478, 1018, 107, 236770, 236761, 5213, 236780, 68482, 62478, 4025, 34641, 4556, 1018, 138, 107, 139, 236772, 236743, 244343, 808, 236770, 236771, 236771, 236770, 100374, 62478, 593, 15485, 236762, 236764, 90367, 37359, 236764, 63346, 236743, 236812, 236771, 236819, 236825, 236810, 236829, 138, 107, 139, 236772, 236743, 245838, 5213, 9175, 31698, 1174, 77623, 66515, 138, 107, 141, 236772, 808, 46325, 236743, 236770, 236771, 8151, 236964, 236770, 236778, 8711, 63508, 623, 9175, 528, 15007, 236775, 18669, 568, 3663, 1610, 13696, 684, 506, 10092, 236768, 138, 107, 141, 236772, 808, 48049, 236743, 236778, 8711, 236964, 236812, 8711, 63508, 148735, 34374, 607, 496, 2263, 8325, 568, 108331, 22249, 1651, 24048, 1610, 4083, 236768, 138, 108, 236778, 236761, 5213, 17224, 26010, 2107, 4556, 1018, 138, 107, 139, 236772, 236743, 244343, 808, 236778, 236771, 236771, 180090, 3587, 236764, 4969, 53071, 236764, 26493, 236743, 236800, 236832, 236832, 236810, 236778, 236829, 138, 107, 139, 236772, 236743, 245838, 5213, 9175, 31698, 1174, 77623, 66515, 138, 107, 141, 236772, 808, 46325, 236743, 236770, 8711, 236964, 236810, 8711, 63508, 46586, 35560, 19520, 18482, 10969, 11421, 138, 108, 10354, 236743, 247815, 238178, 5213, 75652, 58302, 24495, 1018, 138, 107, 1018, 9175, 16842, 236789, 236751, 6274, 1018, 138, 107, 236772, 236743, 244343, 808, 236812, 236810, 236825, 17587, 5841, 56258, 236764, 90367, 37359, 236764, 63346, 236743, 236812, 236771, 236819, 236825, 236810, 236829, 568, 4017, 236743, 236810, 4310, 699, 100374, 62478, 4025, 34641, 4556, 236768, 138, 107, 236772, 236743, 242507, 808, 236812, 236761, 236825, 236786, 236810, 14470, 236829, 1109, 47374, 27249, 568, 30466, 76589, 580, 9760, 19292, 236768, 138, 107, 236772, 236743, 246080, 808, 236825, 236771, 236825, 236772, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 236829, 138, 107, 236772, 808, 11355, 625, 236858, 236751, 4011, 63508, 562, 37066, 236764, 1610, 236772, 52728, 9180, 607, 496, 9578, 6831, 237028, 63914, 573, 20571, 5152, 1308, 496, 1719, 529, 27893, 532, 22260, 1237, 1610, 35490, 236761, 9963, 19549, 19292, 22064, 2263, 24394, 34894, 607, 4185, 26899, 236764, 3043, 625, 496, 31803, 1345, 531, 822, 9226, 19063, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 41819, 653, 4767, 4889, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 6972, 1003, 16270, 30530, 531, 1460, 1724, 12440, 50569, 564, 236789, 560, 6827, 834, 1623, 1003, 236761, 28344, 611, 3442, 786, 1003, 506, 3207, 532, 992, 2426, 506, 1873, 8770, 3136, 699, 2590, 92523, 531, 8555, 54409, 236881, 564, 1461, 531, 1386, 2889, 564, 7715, 9668, 573, 506, 7946, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 9353, 827, 623, 3255, 1083, 623, 127017, 827, 623, 13319, 1083, 623, 146332, 827, 623, 7376, 236779, 3970, 1083, 236743, 236770, 236771, 236771, 236771, 236771, 236771, 236764, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236819, 236761, 236819, 236771, 236812, 236778, 236764, 623, 41713, 1083, 236743, 236770, 236770, 236825, 236761, 236812, 236771, 236832, 236812, 1263, 623, 38428, 1083, 236743, 236778, 236770, 236810, 236812, 236764, 623, 13647, 1083, 623, 25907, 5818, 827, 623, 124977, 236779, 55152, 1083, 11058, 175841, 4085, 827, 623, 121641, 529, 35318, 827, 623, 35734, 26382, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 3714, 2543, 1083, 623, 38556, 827, 623, 1071, 1083, 623, 9353, 236874, 827, 623, 4720, 1083, 236743, 236832, 236761, 236778, 236770, 236810, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 14210, 1083, 623, 55123, 6224, 130712, 11572, 236761, 1174, 3136, 563, 2721, 580, 506, 6524, 2436, 1262, 2487, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 822, 7946, 531, 30530, 236787, 108, 1018, 17698, 41959, 53121, 107, 236772, 5213, 1567, 53121, 30530, 568, 64753, 529, 5818, 236768, 107, 236772, 5213, 30532, 53121, 4695, 5818, 107, 236772, 5213, 48576, 53121, 2578, 236778, 236770, 236761, 236810, 236812, 3625, 107, 236772, 5213, 58713, 53121, 165356, 236743, 236800, 236819, 236761, 236819, 236771, 236812, 236778, 236764, 8099, 4637, 236743, 236770, 236770, 236825, 236761, 236812, 236771, 236832, 236812, 107, 236772, 5213, 100368, 70731, 53121, 116652, 4085, 236764, 22903, 529, 35318, 236764, 18943, 26382, 108, 1018, 8782, 19651, 25870, 568, 38556, 531, 235807, 1473, 1018, 107, 236772, 5213, 21796, 53121, 236743, 236770, 23058, 578, 236743, 236832, 236761, 236778, 236770, 236810, 235807, 107, 236772, 5213, 9008, 42841, 53121, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 108, 55123, 6224, 130712, 11572, 236764, 834, 611, 1149, 1461, 531, 2426, 1570, 12532, 531, 822, 4301, 3433, 573, 90352, 10634, 236761, 30530, 236789, 236751, 11858, 7088, 659, 3571, 506, 1346, 13896, 528, 506, 1902, 1271, 1537, 236789, 236745, 10849, 531, 51808, 990, 573, 1800, 506, 22799, 70836, 532, 506, 3207, 236789, 236751, 28239, 4532, 6540, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 6972, 1003, 16270, 30530, 531, 1460, 1724, 12440, 50569, 564, 236789, 560, 6827, 834, 1623, 1003, 236761, 28344, 611, 3442, 786, 1003, 506, 3207, 532, 992, 2426, 506, 1873, 8770, 3136, 699, 2590, 92523, 531, 8555, 54409, 236881, 564, 1461, 531, 1386, 2889, 564, 7715, 9668, 573, 506, 7946, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 9353, 827, 623, 3255, 1083, 623, 127017, 827, 623, 13319, 1083, 623, 146332, 827, 623, 7376, 236779, 3970, 1083, 236743, 236770, 236771, 236771, 236771, 236771, 236771, 236764, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236819, 236761, 236819, 236771, 236812, 236778, 236764, 623, 41713, 1083, 236743, 236770, 236770, 236825, 236761, 236812, 236771, 236832, 236812, 1263, 623, 38428, 1083, 236743, 236778, 236770, 236810, 236812, 236764, 623, 13647, 1083, 623, 25907, 5818, 827, 623, 124977, 236779, 55152, 1083, 11058, 175841, 4085, 827, 623, 121641, 529, 35318, 827, 623, 35734, 26382, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 3714, 2543, 1083, 623, 38556, 827, 623, 1071, 1083, 623, 9353, 236874, 827, 623, 4720, 1083, 236743, 236832, 236761, 236778, 236770, 236810, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 14210, 1083, 623, 55123, 6224, 130712, 11572, 236761, 1174, 3136, 563, 2721, 580, 506, 6524, 2436, 1262, 2487, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 822, 7946, 531, 30530, 236787, 108, 1018, 17698, 41959, 53121, 107, 236772, 5213, 1567, 53121, 30530, 568, 64753, 529, 5818, 236768, 107, 236772, 5213, 30532, 53121, 4695, 5818, 107, 236772, 5213, 48576, 53121, 2578, 236778, 236770, 236761, 236810, 236812, 3625, 107, 236772, 5213, 58713, 53121, 165356, 236743, 236800, 236819, 236761, 236819, 236771, 236812, 236778, 236764, 8099, 4637, 236743, 236770, 236770, 236825, 236761, 236812, 236771, 236832, 236812, 107, 236772, 5213, 100368, 70731, 53121, 116652, 4085, 236764, 22903, 529, 35318, 236764, 18943, 26382, 108, 1018, 8782, 19651, 25870, 568, 38556, 531, 235807, 1473, 1018, 107, 236772, 5213, 21796, 53121, 236743, 236770, 23058, 578, 236743, 236832, 236761, 236778, 236770, 236810, 235807, 107, 236772, 5213, 9008, 42841, 53121, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 108, 55123, 6224, 130712, 11572, 236764, 834, 611, 1149, 1461, 531, 2426, 1570, 12532, 531, 822, 4301, 3433, 573, 90352, 10634, 236761, 30530, 236789, 236751, 11858, 7088, 659, 3571, 506, 1346, 13896, 528, 506, 1902, 1271, 1537, 236789, 236745, 10849, 531, 51808, 990, 573, 1800, 506, 22799, 70836, 532, 506, 3207, 236789, 236751, 28239, 4532, 6540, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 3399, 1610, 3727, 528, 5054, 48649, 2148, 2297, 532, 1461, 531, 5330, 692, 1537, 236789, 236745, 12160, 607, 1027, 3262, 2263, 4749, 236761, 28344, 611, 2426, 506, 23532, 30916, 573, 8036, 14133, 4972, 1913, 506, 38025, 529, 6198, 236743, 236832, 594, 236772, 236828, 594, 532, 236743, 236770, 236812, 594, 236772, 236770, 236810, 594, 236881, 564, 236789, 236757, 6412, 7467, 528, 4972, 657, 46092, 236789, 236751, 24933, 236764, 618, 8827, 699, 1724, 2473, 4208, 26241, 236761, 1637, 993, 659, 12853, 236764, 564, 236789, 859, 1202, 531, 6253, 1023, 2460, 21238, 532, 1138, 51320, 20627, 236761, 6542, 236764, 768, 993, 236789, 236751, 496, 2290, 580, 506, 236743, 236770, 236812, 594, 236764, 1451, 611, 5433, 3363, 625, 236789, 236751, 496, 1719, 653, 9137, 4241, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236751, 121302, 1083, 78493, 5567, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236828, 827, 623, 5567, 236779, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 68925, 1083, 11058, 23243, 14322, 236743, 236812, 236819, 616, 827, 623, 18939, 13245, 43788, 14255, 623, 6109, 1083, 623, 170991, 236789, 236751, 24933, 827, 623, 6109, 236779, 7125, 1083, 623, 54128, 56928, 236764, 8253, 827, 623, 5567, 236779, 2084, 1083, 623, 27753, 20273, 23179, 3714, 5567, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 5567, 236779, 2289, 1083, 623, 236810, 236787, 236800, 236771, 8711, 827, 623, 68925, 1083, 11058, 23243, 14322, 236743, 236812, 236819, 616, 827, 623, 121789, 76502, 14255, 623, 6109, 1083, 623, 170991, 236789, 236751, 24933, 827, 623, 6109, 236779, 7125, 1083, 623, 54128, 56928, 236764, 8253, 827, 623, 5567, 236779, 2084, 1083, 623, 27753, 20273, 25938, 1604, 623, 14210, 1083, 623, 3243, 2782, 9456, 528, 14225, 7578, 27773, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 23532, 10368, 4889, 573, 46092, 236789, 236751, 24933, 4972, 1913, 822, 9155, 14069, 236787, 108, 1018, 36817, 236743, 236832, 236772, 236828, 77623, 53121, 138, 107, 236772, 5213, 8802, 580, 6198, 236743, 236828, 568, 48049, 1473, 1018, 138, 107, 138, 236772, 5213, 62627, 53121, 5054, 14322, 236743, 236812, 236819, 616, 7728, 236761, 7383, 13245, 43788, 138, 107, 138, 236772, 5213, 2866, 53121, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 568, 47204, 7578, 236768, 138, 107, 138, 236772, 5213, 131020, 53121, 46092, 236789, 236751, 24933, 568, 54128, 56928, 236764, 8253, 236768, 138, 108, 1018, 36817, 236743, 236770, 236812, 236772, 236770, 236810, 77623, 53121, 138, 107, 236772, 5213, 8802, 580, 6198, 236743, 236770, 236810, 568, 48049, 1473, 1018, 138, 107, 138, 236772, 5213, 62627, 53121, 5054, 14322, 236743, 236812, 236819, 616, 7728, 236761, 20615, 76502, 138, 107, 138, 236772, 5213, 2866, 53121, 236743, 236810, 236787, 236800, 236771, 8711, 568, 47204, 7578, 236768, 138, 107, 138, 236772, 5213, 131020, 53121, 46092, 236789, 236751, 24933, 568, 54128, 56928, 236764, 8253, 236768, 138, 108, 1018, 3503, 24118, 53121, 138, 107, 236772, 2301, 4972, 659, 14812, 657, 46092, 236789, 236751, 24933, 580, 5213, 36817, 236743, 236770, 236812, 568, 46325, 62902, 236761, 138, 107, 236772, 10508, 4972, 4583, 580, 5213, 152799, 1004, 1018, 532, 1451, 4100, 8827, 528, 506, 8036, 14133, 236764, 4285, 3541, 13600, 56928, 236761, 138, 108, 1018, 201430, 53121, 138, 107, 236770, 236761, 35593, 822, 1610, 3727, 21238, 580, 5213, 36817, 236743, 236828, 1018, 531, 5571, 48490, 607, 506, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 2290, 236761, 138, 107, 236778, 236761, 9620, 573, 3435, 8827, 30583, 580, 5213, 36817, 236743, 236770, 236810, 125546, 6412, 528, 506, 9137, 568, 236810, 236787, 236800, 236771, 8711, 2290, 769, 14066, 8009, 51320, 20627, 653, 20329, 1237, 28048, 3835, 573, 40303, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 236743, 245838, 249397, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 3399, 1610, 3727, 528, 5054, 48649, 2148, 2297, 532, 1461, 531, 5330, 692, 1537, 236789, 236745, 12160, 607, 1027, 3262, 2263, 4749, 236761, 28344, 611, 2426, 506, 23532, 30916, 573, 8036, 14133, 4972, 1913, 506, 38025, 529, 6198, 236743, 236832, 594, 236772, 236828, 594, 532, 236743, 236770, 236812, 594, 236772, 236770, 236810, 594, 236881, 564, 236789, 236757, 6412, 7467, 528, 4972, 657, 46092, 236789, 236751, 24933, 236764, 618, 8827, 699, 1724, 2473, 4208, 26241, 236761, 1637, 993, 659, 12853, 236764, 564, 236789, 859, 1202, 531, 6253, 1023, 2460, 21238, 532, 1138, 51320, 20627, 236761, 6542, 236764, 768, 993, 236789, 236751, 496, 2290, 580, 506, 236743, 236770, 236812, 594, 236764, 1451, 611, 5433, 3363, 625, 236789, 236751, 496, 1719, 653, 9137, 4241, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236751, 121302, 1083, 78493, 5567, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236828, 827, 623, 5567, 236779, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 68925, 1083, 11058, 23243, 14322, 236743, 236812, 236819, 616, 827, 623, 18939, 13245, 43788, 14255, 623, 6109, 1083, 623, 170991, 236789, 236751, 24933, 827, 623, 6109, 236779, 7125, 1083, 623, 54128, 56928, 236764, 8253, 827, 623, 5567, 236779, 2084, 1083, 623, 27753, 20273, 23179, 3714, 5567, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 5567, 236779, 2289, 1083, 623, 236810, 236787, 236800, 236771, 8711, 827, 623, 68925, 1083, 11058, 23243, 14322, 236743, 236812, 236819, 616, 827, 623, 121789, 76502, 14255, 623, 6109, 1083, 623, 170991, 236789, 236751, 24933, 827, 623, 6109, 236779, 7125, 1083, 623, 54128, 56928, 236764, 8253, 827, 623, 5567, 236779, 2084, 1083, 623, 27753, 20273, 25938, 1604, 623, 14210, 1083, 623, 3243, 2782, 9456, 528, 14225, 7578, 27773, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 23532, 10368, 4889, 573, 46092, 236789, 236751, 24933, 4972, 1913, 822, 9155, 14069, 236787, 108, 1018, 36817, 236743, 236832, 236772, 236828, 77623, 53121, 138, 107, 236772, 5213, 8802, 580, 6198, 236743, 236828, 568, 48049, 1473, 1018, 138, 107, 138, 236772, 5213, 62627, 53121, 5054, 14322, 236743, 236812, 236819, 616, 7728, 236761, 7383, 13245, 43788, 138, 107, 138, 236772, 5213, 2866, 53121, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 568, 47204, 7578, 236768, 138, 107, 138, 236772, 5213, 131020, 53121, 46092, 236789, 236751, 24933, 568, 54128, 56928, 236764, 8253, 236768, 138, 108, 1018, 36817, 236743, 236770, 236812, 236772, 236770, 236810, 77623, 53121, 138, 107, 236772, 5213, 8802, 580, 6198, 236743, 236770, 236810, 568, 48049, 1473, 1018, 138, 107, 138, 236772, 5213, 62627, 53121, 5054, 14322, 236743, 236812, 236819, 616, 7728, 236761, 20615, 76502, 138, 107, 138, 236772, 5213, 2866, 53121, 236743, 236810, 236787, 236800, 236771, 8711, 568, 47204, 7578, 236768, 138, 107, 138, 236772, 5213, 131020, 53121, 46092, 236789, 236751, 24933, 568, 54128, 56928, 236764, 8253, 236768, 138, 108, 1018, 3503, 24118, 53121, 138, 107, 236772, 2301, 4972, 659, 14812, 657, 46092, 236789, 236751, 24933, 580, 5213, 36817, 236743, 236770, 236812, 568, 46325, 62902, 236761, 138, 107, 236772, 10508, 4972, 4583, 580, 5213, 152799, 1004, 1018, 532, 1451, 4100, 8827, 528, 506, 8036, 14133, 236764, 4285, 3541, 13600, 56928, 236761, 138, 108, 1018, 201430, 53121, 138, 107, 236770, 236761, 35593, 822, 1610, 3727, 21238, 580, 5213, 36817, 236743, 236828, 1018, 531, 5571, 48490, 607, 506, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 2290, 236761, 138, 107, 236778, 236761, 9620, 573, 3435, 8827, 30583, 580, 5213, 36817, 236743, 236770, 236810, 125546, 6412, 528, 506, 9137, 568, 236810, 236787, 236800, 236771, 8711, 2290, 769, 14066, 8009, 51320, 20627, 653, 20329, 1237, 28048, 3835, 573, 40303, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 236743, 245838, 249397, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 17373, 573, 496, 18214, 531, 83021, 236764, 532, 564, 1202, 531, 3540, 1023, 2434, 236789, 236751, 1873, 2203, 7948, 531, 3050, 506, 6511, 25519, 532, 90353, 2480, 236761, 2085, 236789, 236751, 496, 220588, 7948, 564, 691, 4173, 6097, 784, 506, 5158, 2203, 4889, 236764, 2440, 5842, 31771, 532, 2434, 4374, 13616, 236761, 669, 7948, 5853, 563, 623, 48593, 236779, 3864, 236779, 236778, 236771, 236778, 236800, 827, 840, 564, 992, 1202, 531, 4071, 236772, 30449, 506, 6524, 2203, 3104, 28436, 531, 9128, 58658, 236761, 669, 3104, 5853, 573, 506, 1873, 2203, 563, 623, 48593, 236779, 3078, 236779, 236812, 236810, 236825, 3056, 3199, 611, 33205, 1800, 506, 7948, 532, 506, 3530, 3104, 28436, 573, 786, 236881, 564, 1202, 672, 531, 2731, 1217, 531, 30726, 81014, 1056, 564, 1769, 1024, 618, 83021, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18624, 236779, 547, 1083, 623, 48593, 236779, 3864, 236779, 236778, 236771, 236778, 236800, 827, 623, 3250, 1083, 623, 14009, 37747, 80135, 827, 623, 29641, 1083, 3714, 14859, 1083, 11058, 8410, 7343, 827, 623, 105111, 163056, 827, 623, 18373, 20602, 827, 623, 6302, 6809, 827, 623, 141511, 827, 623, 6717, 152254, 623, 3955, 1083, 78493, 8410, 7343, 1083, 623, 55407, 81909, 827, 623, 105111, 163056, 1083, 11058, 62288, 3230, 42267, 997, 236800, 827, 623, 73569, 737, 1277, 1684, 236810, 14255, 623, 18373, 20602, 1083, 11058, 12720, 98881, 827, 623, 60526, 42254, 827, 623, 28444, 18516, 14255, 623, 6302, 6809, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 141511, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236800, 236771, 827, 623, 6717, 1083, 623, 902, 22583, 23179, 3714, 8410, 7343, 1083, 623, 7166, 15837, 79993, 827, 623, 105111, 163056, 1083, 11058, 146921, 236743, 236778, 236771, 236771, 236771, 827, 623, 20637, 5833, 603, 14255, 623, 18373, 20602, 1083, 11058, 65944, 11629, 827, 623, 27359, 8943, 14255, 623, 6302, 6809, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236770, 827, 623, 141511, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236770, 236810, 827, 623, 6717, 1083, 623, 61433, 25938, 1604, 623, 21052, 1083, 3714, 5455, 236779, 83764, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 827, 623, 17138, 236779, 2003, 1083, 623, 4348, 526, 43645, 827, 623, 7777, 1083, 623, 36043, 20387, 573, 5158, 2203, 6511, 25519, 532, 90353, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 4000, 236779, 547, 1083, 623, 48593, 236779, 3078, 236779, 236812, 236810, 236825, 827, 623, 3250, 1083, 623, 236935, 236800, 22858, 93784, 833, 89254, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 5455, 236779, 40554, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236812, 236810, 236787, 236771, 236778, 236953, 827, 623, 5432, 236779, 174523, 1083, 78493, 18624, 236779, 547, 1083, 623, 48593, 236779, 3864, 236779, 236778, 236771, 236778, 236800, 827, 623, 18624, 236779, 3250, 1083, 623, 14009, 37747, 80135, 23179, 3714, 44484, 1083, 623, 80401, 10765, 827, 623, 1862, 1083, 623, 71083, 25938, 1604, 623, 15921, 1083, 3714, 153930, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236770, 236810, 827, 623, 47384, 1083, 623, 13238, 827, 623, 4818, 1083, 623, 902, 22583, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 52236, 699, 506, 220588, 7948, 532, 2203, 3104, 236787, 108, 1018, 17140, 236787, 23531, 37747, 80135, 568, 1735, 236787, 67963, 236779, 3864, 236779, 236778, 236771, 236778, 236800, 62902, 107, 236772, 5213, 35221, 66515, 76843, 236743, 236825, 11312, 236787, 7879, 7343, 236764, 29187, 163056, 236764, 10765, 20602, 236764, 9187, 6809, 236764, 96798, 236764, 18365, 107, 236772, 5213, 8782, 37747, 66515, 107, 138, 236770, 236761, 808, 55407, 81909, 236829, 138, 107, 141, 105111, 236787, 144681, 42267, 997, 236800, 236764, 142243, 1277, 1684, 236810, 138, 107, 141, 18373, 236787, 3415, 98881, 236764, 17015, 42254, 236764, 15352, 18516, 138, 107, 141, 94394, 236787, 2481, 236743, 236770, 236810, 753, 17879, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 141, 6717, 236787, 799, 22583, 108, 138, 236778, 236761, 808, 7166, 15837, 79993, 236829, 138, 107, 141, 105111, 236787, 69306, 236743, 236778, 236771, 236771, 236771, 236764, 47011, 5833, 603, 138, 107, 141, 18373, 236787, 21516, 11629, 236764, 7502, 8943, 138, 107, 141, 94394, 236787, 3353, 236743, 236770, 753, 8934, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 141, 6717, 236787, 101212, 108, 1018, 8410, 11338, 236787, 1366, 236800, 22858, 93784, 833, 89254, 568, 1735, 236787, 67963, 236779, 3078, 236779, 236812, 236810, 236825, 62902, 107, 236772, 20236, 236787, 5729, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 107, 236772, 11662, 80183, 236787, 5857, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 107, 236772, 96798, 236787, 6384, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 107, 236772, 18365, 236787, 799, 22583, 107, 236772, 59193, 236787, 4819, 108, 2094, 1938, 3831, 1156, 5158, 5699, 607, 910, 6511, 75043, 532, 90353, 236761, 669, 1366, 236800, 2203, 3104, 44898, 506, 6384, 236743, 236770, 236810, 28958, 573, 822, 6995, 8616, 236761, 1599, 740, 1460, 600, 5842, 532, 2434, 31771, 9729, 8792, 1534, 5699, 236764, 837, 1149, 1601, 8701, 3435, 6511, 117147, 1056, 61232, 81014, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 17373, 573, 496, 18214, 531, 83021, 236764, 532, 564, 1202, 531, 3540, 1023, 2434, 236789, 236751, 1873, 2203, 7948, 531, 3050, 506, 6511, 25519, 532, 90353, 2480, 236761, 2085, 236789, 236751, 496, 220588, 7948, 564, 691, 4173, 6097, 784, 506, 5158, 2203, 4889, 236764, 2440, 5842, 31771, 532, 2434, 4374, 13616, 236761, 669, 7948, 5853, 563, 623, 48593, 236779, 3864, 236779, 236778, 236771, 236778, 236800, 827, 840, 564, 992, 1202, 531, 4071, 236772, 30449, 506, 6524, 2203, 3104, 28436, 531, 9128, 58658, 236761, 669, 3104, 5853, 573, 506, 1873, 2203, 563, 623, 48593, 236779, 3078, 236779, 236812, 236810, 236825, 3056, 3199, 611, 33205, 1800, 506, 7948, 532, 506, 3530, 3104, 28436, 573, 786, 236881, 564, 1202, 672, 531, 2731, 1217, 531, 30726, 81014, 1056, 564, 1769, 1024, 618, 83021, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18624, 236779, 547, 1083, 623, 48593, 236779, 3864, 236779, 236778, 236771, 236778, 236800, 827, 623, 3250, 1083, 623, 14009, 37747, 80135, 827, 623, 29641, 1083, 3714, 14859, 1083, 11058, 8410, 7343, 827, 623, 105111, 163056, 827, 623, 18373, 20602, 827, 623, 6302, 6809, 827, 623, 141511, 827, 623, 6717, 152254, 623, 3955, 1083, 78493, 8410, 7343, 1083, 623, 55407, 81909, 827, 623, 105111, 163056, 1083, 11058, 62288, 3230, 42267, 997, 236800, 827, 623, 73569, 737, 1277, 1684, 236810, 14255, 623, 18373, 20602, 1083, 11058, 12720, 98881, 827, 623, 60526, 42254, 827, 623, 28444, 18516, 14255, 623, 6302, 6809, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 141511, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236800, 236771, 827, 623, 6717, 1083, 623, 902, 22583, 23179, 3714, 8410, 7343, 1083, 623, 7166, 15837, 79993, 827, 623, 105111, 163056, 1083, 11058, 146921, 236743, 236778, 236771, 236771, 236771, 827, 623, 20637, 5833, 603, 14255, 623, 18373, 20602, 1083, 11058, 65944, 11629, 827, 623, 27359, 8943, 14255, 623, 6302, 6809, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236770, 827, 623, 141511, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236770, 236810, 827, 623, 6717, 1083, 623, 61433, 25938, 1604, 623, 21052, 1083, 3714, 5455, 236779, 83764, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 827, 623, 17138, 236779, 2003, 1083, 623, 4348, 526, 43645, 827, 623, 7777, 1083, 623, 36043, 20387, 573, 5158, 2203, 6511, 25519, 532, 90353, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 4000, 236779, 547, 1083, 623, 48593, 236779, 3078, 236779, 236812, 236810, 236825, 827, 623, 3250, 1083, 623, 236935, 236800, 22858, 93784, 833, 89254, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 5455, 236779, 40554, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236812, 236810, 236787, 236771, 236778, 236953, 827, 623, 5432, 236779, 174523, 1083, 78493, 18624, 236779, 547, 1083, 623, 48593, 236779, 3864, 236779, 236778, 236771, 236778, 236800, 827, 623, 18624, 236779, 3250, 1083, 623, 14009, 37747, 80135, 23179, 3714, 44484, 1083, 623, 80401, 10765, 827, 623, 1862, 1083, 623, 71083, 25938, 1604, 623, 15921, 1083, 3714, 153930, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236770, 236810, 827, 623, 47384, 1083, 623, 13238, 827, 623, 4818, 1083, 623, 902, 22583, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 52236, 699, 506, 220588, 7948, 532, 2203, 3104, 236787, 108, 1018, 17140, 236787, 23531, 37747, 80135, 568, 1735, 236787, 67963, 236779, 3864, 236779, 236778, 236771, 236778, 236800, 62902, 107, 236772, 5213, 35221, 66515, 76843, 236743, 236825, 11312, 236787, 7879, 7343, 236764, 29187, 163056, 236764, 10765, 20602, 236764, 9187, 6809, 236764, 96798, 236764, 18365, 107, 236772, 5213, 8782, 37747, 66515, 107, 138, 236770, 236761, 808, 55407, 81909, 236829, 138, 107, 141, 105111, 236787, 144681, 42267, 997, 236800, 236764, 142243, 1277, 1684, 236810, 138, 107, 141, 18373, 236787, 3415, 98881, 236764, 17015, 42254, 236764, 15352, 18516, 138, 107, 141, 94394, 236787, 2481, 236743, 236770, 236810, 753, 17879, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 141, 6717, 236787, 799, 22583, 108, 138, 236778, 236761, 808, 7166, 15837, 79993, 236829, 138, 107, 141, 105111, 236787, 69306, 236743, 236778, 236771, 236771, 236771, 236764, 47011, 5833, 603, 138, 107, 141, 18373, 236787, 21516, 11629, 236764, 7502, 8943, 138, 107, 141, 94394, 236787, 3353, 236743, 236770, 753, 8934, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 141, 6717, 236787, 101212, 108, 1018, 8410, 11338, 236787, 1366, 236800, 22858, 93784, 833, 89254, 568, 1735, 236787, 67963, 236779, 3078, 236779, 236812, 236810, 236825, 62902, 107, 236772, 20236, 236787, 5729, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 107, 236772, 11662, 80183, 236787, 5857, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 107, 236772, 96798, 236787, 6384, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 107, 236772, 18365, 236787, 799, 22583, 107, 236772, 59193, 236787, 4819, 108, 2094, 1938, 3831, 1156, 5158, 5699, 607, 910, 6511, 75043, 532, 90353, 236761, 669, 1366, 236800, 2203, 3104, 44898, 506, 6384, 236743, 236770, 236810, 28958, 573, 822, 6995, 8616, 236761, 1599, 740, 1460, 600, 5842, 532, 2434, 31771, 9729, 8792, 1534, 5699, 236764, 837, 1149, 1601, 8701, 3435, 6511, 117147, 1056, 61232, 81014, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 5633, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 9279, 4106, 529, 15965, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 600, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 5633, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 9279, 4106, 529, 15965, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 600, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236761, 564, 236789, 236757, 974, 43212, 236789, 5508, 573, 1041, 2260, 5975, 2874, 495, 236789, 672, 9735, 236764, 532, 564, 44534, 3437, 235293, 495, 236789, 6121, 531, 506, 2633, 236761, 1191, 4781, 2910, 1610, 532, 11089, 236764, 840, 1774, 990, 564, 6418, 872, 7738, 236772, 38149, 532, 18361, 121047, 786, 235293, 495, 236789, 38599, 236761, 1599, 2506, 1027, 4940, 12309, 58339, 600, 1451, 14838, 496, 1535, 8699, 236881, 15704, 235293, 495, 236789, 4596, 531, 22475, 1064, 236789, 236751, 25687, 653, 12896, 3944, 495, 103709, 564, 236789, 560, 2506, 496, 7972, 2587, 529, 46590, 564, 236789, 560, 1010, 625, 38961, 236789, 531, 1161, 528, 153509, 236764, 768, 600, 5021, 611, 1027, 6549, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15884, 1083, 623, 2859, 611, 1451, 2918, 1131, 886, 529, 15584, 22475, 1064, 236789, 236751, 25687, 532, 2707, 496, 3161, 3479, 993, 236764, 1144, 13294, 653, 31831, 699, 600, 8317, 1093, 611, 1461, 531, 75610, 528, 1759, 1972, 236764, 532, 1217, 1093, 611, 27968, 625, 1131, 614, 12896, 13415, 1133, 153509, 1699, 5756, 46590, 7462, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 3305, 236772, 151949, 2934, 531, 3437, 531, 822, 2260, 5975, 236787, 138, 107, 71510, 2859, 611, 1451, 2918, 1131, 886, 529, 15584, 22475, 1064, 236789, 236751, 25687, 532, 2707, 496, 3161, 3479, 993, 236764, 1144, 13294, 653, 31831, 699, 600, 8317, 1093, 611, 1461, 531, 75610, 528, 1759, 1972, 236764, 532, 1217, 1093, 611, 27968, 625, 1131, 614, 12896, 13415, 1133, 153509, 1699, 5756, 46590, 7462, 236829, 138, 108, 2094, 34679, 22475, 1064, 236789, 236751, 164840, 1610, 607, 822, 50353, 10521, 236888, 593, 236761, 236773, 236761, 1271, 5180, 7972, 46590, 795, 1386, 600, 153509, 2418, 236761, 15704, 1138, 496, 31498, 529, 54491, 1003, 506, 11710, 611, 13874, 531, 2126, 5789, 39529, 506, 2299, 236761, 236743, 245838, 247677, 106, 107, 105, 2364, 107, 12879, 573, 600, 886, 1271, 96678, 564, 236858, 859, 1161, 625, 532, 3442, 2141, 581, 1217, 22475, 1064, 236858, 236751, 808, 237095, 176661, 236858, 236751, 4109, 236858, 236829, 3590, 786, 1751, 529, 5111, 236772, 4973, 1042, 495, 236858, 496, 30336, 16510, 573, 153509, 236764, 2338, 600, 2135, 5724, 1133, 625, 236858, 236751, 1010, 15774, 495, 236858, 528, 506, 3768, 17504, 236761, 2024, 1651, 692, 236858, 500, 580, 1610, 532, 545, 7532, 13536, 1451, 611, 2583, 786, 2264, 236881, 15704, 235293, 495, 236858, 600, 32407, 506, 808, 33860, 236829, 529, 496, 11710, 531, 506, 12627, 528, 496, 153509, 236881, 2408, 1217, 1003, 886, 600, 23948, 22475, 1064, 236858, 236751, 1161, 529, 2214, 531, 506, 1595, 32070, 1133, 46590, 106744, 496, 13415, 236881, 564, 236858, 236753, 17554, 531, 1845, 208762, 11184, 5453, 236772, 57855, 495, 13847, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15884, 1083, 623, 2859, 611, 964, 531, 10769, 506, 129185, 9939, 528, 153509, 531, 506, 16078, 124288, 528, 496, 22475, 1064, 11710, 236764, 1217, 2473, 506, 34624, 529, 1800, 30463, 496, 12309, 1003, 31245, 528, 11381, 236785, 236756, 236778, 236771, 236770, 236812, 54818, 625, 236789, 236751, 1610, 236764, 2780, 236764, 653, 9994, 7462, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 2264, 3305, 236772, 151949, 2934, 531, 2514, 506, 11184, 28174, 236787, 138, 107, 71510, 2859, 611, 1451, 17866, 506, 1595, 22475, 1064, 41080, 2214, 528, 914, 25687, 237028, 5282, 506, 13935, 236772, 13807, 19462, 528, 808, 237095, 42554, 699, 506, 12991, 236858, 236829, 237028, 15040, 496, 50353, 9939, 236764, 1217, 1093, 611, 1161, 5756, 46590, 531, 62611, 600, 2141, 154490, 236858, 528, 496, 153509, 236881, 21284, 611, 6352, 625, 10445, 573, 81807, 236764, 174265, 625, 1131, 496, 16510, 236764, 653, 1577, 625, 8427, 531, 14701, 506, 41945, 529, 914, 16078, 124288, 7462, 236829, 138, 108, 2094, 23948, 914, 119496, 531, 822, 8351, 10083, 236761, 58108, 625, 607, 496, 170133, 1003, 1217, 46590, 142781, 528, 822, 7972, 236764, 532, 611, 236858, 859, 735, 1091, 54001, 236888, 236743, 243536, 249560, 238178, 106, 107, 105, 2364, 107, 46003, 45477, 1271, 564, 236858, 859, 577, 2889, 531, 4928, 1217, 46590, 236858, 236751, 43135, 1788, 563, 1133, 496, 5597, 44185, 1343, 22475, 1064, 236858, 236751, 808, 237095, 187114, 236762, 236858, 236751, 88923, 236858, 236829, 99315, 236764, 2514, 495, 236858, 506, 12309, 45489, 236761, 2024, 2338, 692, 236858, 500, 580, 12627, 532, 34624, 236764, 1451, 611, 18802, 872, 886, 919, 236881, 15704, 235293, 495, 236858, 600, 9851, 506, 808, 25154, 28896, 8403, 236829, 528, 496, 22475, 1064, 6347, 237028, 5282, 506, 125923, 236764, 53091, 47900, 528, 808, 237095, 36329, 14968, 236858, 236829, 237028, 1071, 506, 1595, 153509, 51831, 236764, 16510, 236764, 532, 13840, 10166, 872, 236881, 2088, 236858, 236753, 611, 1161, 46590, 236858, 236751, 808, 845, 236829, 568, 89754, 236764, 5756, 236764, 4446, 236772, 167367, 236768, 531, 9263, 600, 2141, 140671, 236858, 1763, 236881, 27384, 495, 236858, 18361, 2473, 4059, 496, 11184, 1003, 1217, 1610, 236858, 236751, 66006, 1386, 19292, 1133, 153509, 11613, 784, 506, 919, 1759, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15884, 1083, 623, 2859, 611, 964, 531, 75610, 506, 41686, 16078, 124288, 529, 15584, 22475, 1064, 236789, 236751, 147578, 236756, 236778, 236771, 236770, 236828, 36329, 14968, 236785, 236756, 236778, 236771, 236770, 236819, 236829, 528, 496, 153509, 236764, 1217, 1093, 611, 6352, 46590, 568, 40323, 236764, 19555, 236764, 653, 4446, 236772, 167367, 236768, 531, 62611, 506, 11710, 236789, 236751, 125923, 236764, 59314, 9899, 236881, 28344, 506, 29038, 236789, 236751, 1183, 88866, 506, 13415, 236789, 236751, 756, 46889, 8758, 236789, 506, 1595, 11325, 16078, 124288, 88866, 496, 65972, 236789, 236751, 12556, 7462, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 822, 4168, 2934, 531, 18802, 506, 2197, 236787, 138, 107, 71510, 2859, 611, 964, 531, 75610, 506, 41686, 16078, 124288, 529, 15584, 22475, 1064, 236789, 236751, 808, 237095, 36329, 14968, 236858, 236829, 528, 496, 153509, 236764, 1217, 1093, 611, 6352, 46590, 568, 40323, 236764, 19555, 236764, 653, 4446, 236772, 167367, 236768, 531, 62611, 506, 11710, 236789, 236751, 125923, 236764, 59314, 9899, 236881, 28344, 506, 29038, 236789, 236751, 1183, 88866, 506, 13415, 236789, 236751, 756, 46889, 8758, 236789, 506, 1595, 11325, 16078, 124288, 88866, 496, 65972, 236789, 236751, 12556, 7462, 236829, 138, 108, 1018, 1489, 6508, 53121, 92417, 1131, 506, 623, 69129, 17967, 236775, 7275, 237028, 109219, 1217, 1581, 496, 140998, 46590, 11463, 653, 496, 18716, 98233, 13586, 2872, 236764, 1164, 1133, 22475, 1064, 236858, 236751, 93991, 39339, 236761, 5180, 7972, 46590, 2473, 1164, 36577, 506, 1407, 236888, 236743, 243536, 245838, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236761, 564, 236789, 236757, 974, 43212, 236789, 5508, 573, 1041, 2260, 5975, 2874, 495, 236789, 672, 9735, 236764, 532, 564, 44534, 3437, 235293, 495, 236789, 6121, 531, 506, 2633, 236761, 1191, 4781, 2910, 1610, 532, 11089, 236764, 840, 1774, 990, 564, 6418, 872, 7738, 236772, 38149, 532, 18361, 121047, 786, 235293, 495, 236789, 38599, 236761, 1599, 2506, 1027, 4940, 12309, 58339, 600, 1451, 14838, 496, 1535, 8699, 236881, 15704, 235293, 495, 236789, 4596, 531, 22475, 1064, 236789, 236751, 25687, 653, 12896, 3944, 495, 103709, 564, 236789, 560, 2506, 496, 7972, 2587, 529, 46590, 564, 236789, 560, 1010, 625, 38961, 236789, 531, 1161, 528, 153509, 236764, 768, 600, 5021, 611, 1027, 6549, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15884, 1083, 623, 2859, 611, 1451, 2918, 1131, 886, 529, 15584, 22475, 1064, 236789, 236751, 25687, 532, 2707, 496, 3161, 3479, 993, 236764, 1144, 13294, 653, 31831, 699, 600, 8317, 1093, 611, 1461, 531, 75610, 528, 1759, 1972, 236764, 532, 1217, 1093, 611, 27968, 625, 1131, 614, 12896, 13415, 1133, 153509, 1699, 5756, 46590, 7462, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 3305, 236772, 151949, 2934, 531, 3437, 531, 822, 2260, 5975, 236787, 138, 107, 71510, 2859, 611, 1451, 2918, 1131, 886, 529, 15584, 22475, 1064, 236789, 236751, 25687, 532, 2707, 496, 3161, 3479, 993, 236764, 1144, 13294, 653, 31831, 699, 600, 8317, 1093, 611, 1461, 531, 75610, 528, 1759, 1972, 236764, 532, 1217, 1093, 611, 27968, 625, 1131, 614, 12896, 13415, 1133, 153509, 1699, 5756, 46590, 7462, 236829, 138, 108, 2094, 34679, 22475, 1064, 236789, 236751, 164840, 1610, 607, 822, 50353, 10521, 236888, 593, 236761, 236773, 236761, 1271, 5180, 7972, 46590, 795, 1386, 600, 153509, 2418, 236761, 15704, 1138, 496, 31498, 529, 54491, 1003, 506, 11710, 611, 13874, 531, 2126, 5789, 39529, 506, 2299, 236761, 236743, 245838, 247677, 106, 107, 105, 2364, 107, 12879, 573, 600, 886, 1271, 96678, 564, 236858, 859, 1161, 625, 532, 3442, 2141, 581, 1217, 22475, 1064, 236858, 236751, 808, 237095, 176661, 236858, 236751, 4109, 236858, 236829, 3590, 786, 1751, 529, 5111, 236772, 4973, 1042, 495, 236858, 496, 30336, 16510, 573, 153509, 236764, 2338, 600, 2135, 5724, 1133, 625, 236858, 236751, 1010, 15774, 495, 236858, 528, 506, 3768, 17504, 236761, 2024, 1651, 692, 236858, 500, 580, 1610, 532, 545, 7532, 13536, 1451, 611, 2583, 786, 2264, 236881, 15704, 235293, 495, 236858, 600, 32407, 506, 808, 33860, 236829, 529, 496, 11710, 531, 506, 12627, 528, 496, 153509, 236881, 2408, 1217, 1003, 886, 600, 23948, 22475, 1064, 236858, 236751, 1161, 529, 2214, 531, 506, 1595, 32070, 1133, 46590, 106744, 496, 13415, 236881, 564, 236858, 236753, 17554, 531, 1845, 208762, 11184, 5453, 236772, 57855, 495, 13847, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15884, 1083, 623, 2859, 611, 964, 531, 10769, 506, 129185, 9939, 528, 153509, 531, 506, 16078, 124288, 528, 496, 22475, 1064, 11710, 236764, 1217, 2473, 506, 34624, 529, 1800, 30463, 496, 12309, 1003, 31245, 528, 11381, 236785, 236756, 236778, 236771, 236770, 236812, 54818, 625, 236789, 236751, 1610, 236764, 2780, 236764, 653, 9994, 7462, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 2264, 3305, 236772, 151949, 2934, 531, 2514, 506, 11184, 28174, 236787, 138, 107, 71510, 2859, 611, 1451, 17866, 506, 1595, 22475, 1064, 41080, 2214, 528, 914, 25687, 237028, 5282, 506, 13935, 236772, 13807, 19462, 528, 808, 237095, 42554, 699, 506, 12991, 236858, 236829, 237028, 15040, 496, 50353, 9939, 236764, 1217, 1093, 611, 1161, 5756, 46590, 531, 62611, 600, 2141, 154490, 236858, 528, 496, 153509, 236881, 21284, 611, 6352, 625, 10445, 573, 81807, 236764, 174265, 625, 1131, 496, 16510, 236764, 653, 1577, 625, 8427, 531, 14701, 506, 41945, 529, 914, 16078, 124288, 7462, 236829, 138, 108, 2094, 23948, 914, 119496, 531, 822, 8351, 10083, 236761, 58108, 625, 607, 496, 170133, 1003, 1217, 46590, 142781, 528, 822, 7972, 236764, 532, 611, 236858, 859, 735, 1091, 54001, 236888, 236743, 243536, 249560, 238178, 106, 107, 105, 2364, 107, 46003, 45477, 1271, 564, 236858, 859, 577, 2889, 531, 4928, 1217, 46590, 236858, 236751, 43135, 1788, 563, 1133, 496, 5597, 44185, 1343, 22475, 1064, 236858, 236751, 808, 237095, 187114, 236762, 236858, 236751, 88923, 236858, 236829, 99315, 236764, 2514, 495, 236858, 506, 12309, 45489, 236761, 2024, 2338, 692, 236858, 500, 580, 12627, 532, 34624, 236764, 1451, 611, 18802, 872, 886, 919, 236881, 15704, 235293, 495, 236858, 600, 9851, 506, 808, 25154, 28896, 8403, 236829, 528, 496, 22475, 1064, 6347, 237028, 5282, 506, 125923, 236764, 53091, 47900, 528, 808, 237095, 36329, 14968, 236858, 236829, 237028, 1071, 506, 1595, 153509, 51831, 236764, 16510, 236764, 532, 13840, 10166, 872, 236881, 2088, 236858, 236753, 611, 1161, 46590, 236858, 236751, 808, 845, 236829, 568, 89754, 236764, 5756, 236764, 4446, 236772, 167367, 236768, 531, 9263, 600, 2141, 140671, 236858, 1763, 236881, 27384, 495, 236858, 18361, 2473, 4059, 496, 11184, 1003, 1217, 1610, 236858, 236751, 66006, 1386, 19292, 1133, 153509, 11613, 784, 506, 919, 1759, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15884, 1083, 623, 2859, 611, 964, 531, 75610, 506, 41686, 16078, 124288, 529, 15584, 22475, 1064, 236789, 236751, 147578, 236756, 236778, 236771, 236770, 236828, 36329, 14968, 236785, 236756, 236778, 236771, 236770, 236819, 236829, 528, 496, 153509, 236764, 1217, 1093, 611, 6352, 46590, 568, 40323, 236764, 19555, 236764, 653, 4446, 236772, 167367, 236768, 531, 62611, 506, 11710, 236789, 236751, 125923, 236764, 59314, 9899, 236881, 28344, 506, 29038, 236789, 236751, 1183, 88866, 506, 13415, 236789, 236751, 756, 46889, 8758, 236789, 506, 1595, 11325, 16078, 124288, 88866, 496, 65972, 236789, 236751, 12556, 7462, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 822, 4168, 2934, 531, 18802, 506, 2197, 236787, 138, 107, 71510, 2859, 611, 964, 531, 75610, 506, 41686, 16078, 124288, 529, 15584, 22475, 1064, 236789, 236751, 808, 237095, 36329, 14968, 236858, 236829, 528, 496, 153509, 236764, 1217, 1093, 611, 6352, 46590, 568, 40323, 236764, 19555, 236764, 653, 4446, 236772, 167367, 236768, 531, 62611, 506, 11710, 236789, 236751, 125923, 236764, 59314, 9899, 236881, 28344, 506, 29038, 236789, 236751, 1183, 88866, 506, 13415, 236789, 236751, 756, 46889, 8758, 236789, 506, 1595, 11325, 16078, 124288, 88866, 496, 65972, 236789, 236751, 12556, 7462, 236829, 138, 108, 1018, 1489, 6508, 53121, 92417, 1131, 506, 623, 69129, 17967, 236775, 7275, 237028, 109219, 1217, 1581, 496, 140998, 46590, 11463, 653, 496, 18716, 98233, 13586, 2872, 236764, 1164, 1133, 22475, 1064, 236858, 236751, 93991, 39339, 236761, 5180, 7972, 46590, 2473, 1164, 36577, 506, 1407, 236888, 236743, 243536, 245838, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 3399, 3988, 75693, 12441, 532, 1202, 1156, 2432, 236787, 496, 4709, 2678, 13415, 15028, 600, 4065, 175842, 63020, 618, 506, 1689, 31831, 236764, 532, 531, 2426, 768, 993, 236789, 236751, 1027, 6330, 20333, 580, 63020, 236772, 5140, 46898, 23642, 600, 1451, 4208, 1699, 625, 45314, 236761, 1701, 506, 20333, 3927, 236764, 1161, 756, 19540, 131742, 236789, 618, 506, 1262, 3738, 236761, 1174, 1595, 236764, 564, 740, 5330, 506, 13415, 563, 1800, 2803, 532, 34915, 30705, 573, 3402, 4749, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 1201, 1083, 623, 188863, 2024, 145030, 189337, 607, 5165, 4250, 2797, 87078, 827, 623, 77095, 1083, 11058, 236770, 175842, 63020, 568, 55673, 524, 22730, 623, 236770, 236786, 236812, 8578, 120701, 568, 4094, 875, 524, 22730, 623, 236778, 107072, 26012, 4446, 827, 623, 236770, 72881, 19555, 85048, 827, 623, 236770, 236786, 236778, 72881, 3866, 47442, 827, 623, 69654, 532, 22300, 531, 11613, 14255, 623, 96654, 1083, 623, 236774, 2581, 63020, 42595, 607, 26012, 4446, 236764, 85048, 236764, 47442, 236764, 9551, 236764, 532, 22300, 236761, 187986, 657, 236743, 236812, 236771, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236778, 236771, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 236768, 573, 236743, 236778, 236810, 4310, 236761, 9940, 120701, 3894, 531, 8289, 11808, 236761, 68988, 44685, 63020, 1024, 120701, 10498, 623, 14210, 1083, 623, 27144, 175842, 63020, 618, 506, 5905, 31831, 236764, 9273, 573, 46898, 48542, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 108803, 8225, 2024, 145030, 189337, 81592, 532, 55302, 10474, 827, 623, 119789, 236779, 5640, 1083, 623, 3118, 236778, 236771, 236778, 236770, 236771, 236771, 236770, 236810, 236812, 236800, 236778, 236776, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236770, 236772, 236778, 236770, 827, 623, 13066, 1083, 623, 236776, 46898, 13415, 25039, 44685, 175842, 63020, 236764, 120701, 236764, 532, 39994, 236764, 3008, 607, 496, 1996, 573, 36674, 18434, 1343, 43615, 129185, 1390, 23179, 3714, 3250, 1083, 623, 55376, 1316, 236772, 22515, 162672, 52258, 607, 83932, 134496, 29520, 827, 623, 119789, 236779, 5640, 1083, 623, 3118, 236778, 236771, 236770, 236819, 236771, 236778, 236828, 236778, 236819, 236810, 236825, 236776, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236819, 236772, 236770, 236819, 827, 623, 13066, 1083, 623, 236776, 61726, 1657, 573, 26614, 175842, 63020, 607, 106532, 531, 2619, 496, 1494, 236772, 56874, 46898, 13294, 236764, 2440, 6555, 573, 7595, 18088, 1390, 23179, 3714, 3250, 1083, 623, 9013, 573, 94109, 1301, 1042, 37119, 9725, 742, 189337, 162672, 81801, 695, 827, 623, 119789, 236779, 5640, 1083, 623, 3118, 236778, 236771, 236778, 236800, 236771, 236770, 236812, 236810, 236825, 236832, 236828, 236776, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236770, 827, 623, 13066, 1083, 623, 236776, 1458, 573, 3413, 236772, 65024, 46898, 63020, 209121, 607, 9239, 27319, 1972, 236764, 13803, 3530, 4022, 12239, 1913, 12652, 24002, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 1516, 236779, 6265, 1083, 623, 19540, 131742, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 573, 822, 3399, 3988, 75693, 12441, 236787, 108, 1018, 35093, 19222, 81592, 52258, 1018, 138, 107, 236829, 64020, 7343, 149681, 201752, 2024, 145030, 189337, 607, 5165, 4250, 2797, 87078, 138, 107, 236829, 64690, 149681, 138, 107, 236772, 236743, 236770, 175842, 63020, 568, 55673, 524, 236768, 138, 107, 236772, 236743, 236770, 236786, 236812, 8578, 120701, 568, 4094, 875, 524, 236768, 138, 107, 236772, 236743, 236778, 107072, 26012, 4446, 138, 107, 236772, 236743, 236770, 72881, 19555, 85048, 138, 107, 236772, 236743, 236770, 236786, 236778, 72881, 3866, 47442, 138, 107, 236772, 28501, 532, 22300, 531, 11613, 138, 108, 236829, 81851, 149681, 138, 107, 236770, 236761, 195062, 63020, 42595, 607, 26012, 4446, 236764, 85048, 236764, 47442, 236764, 9551, 236764, 532, 22300, 236761, 138, 107, 236778, 236761, 187986, 657, 236743, 236812, 236771, 236771, 237366, 236811, 568, 236778, 236771, 236771, 237366, 236780, 236768, 573, 236743, 236778, 236810, 4310, 236761, 138, 107, 236800, 236761, 9940, 120701, 3894, 531, 8289, 11808, 236761, 138, 107, 236812, 236761, 68988, 44685, 63020, 1024, 120701, 236761, 138, 108, 236829, 10282, 149681, 162672, 236772, 18865, 532, 20756, 175842, 63020, 618, 506, 4381, 31831, 236761, 108, 7243, 108, 1018, 178300, 12808, 17647, 568, 19540, 131742, 1473, 1018, 138, 107, 236770, 236761, 5213, 3118, 236778, 236771, 236778, 236770, 236771, 236771, 236770, 236810, 236812, 236800, 236778, 236776, 236770, 1018, 138, 107, 139, 236829, 7396, 149681, 162672, 2024, 145030, 189337, 81592, 532, 55302, 10474, 138, 107, 139, 236829, 11008, 149681, 20303, 496, 44685, 63020, 13415, 607, 120701, 532, 39994, 236764, 19541, 580, 43615, 129185, 8403, 236761, 138, 108, 236778, 236761, 5213, 3118, 236778, 236771, 236770, 236819, 236771, 236778, 236828, 236778, 236819, 236810, 236825, 236776, 236770, 1018, 138, 107, 139, 236829, 7396, 149681, 189337, 236772, 22515, 162672, 52258, 607, 83932, 134496, 29520, 138, 107, 139, 236829, 11008, 149681, 131742, 496, 1657, 26614, 63020, 607, 106532, 573, 1494, 236772, 56874, 18917, 236764, 2440, 7595, 18088, 236761, 138, 108, 236800, 236761, 5213, 3118, 236778, 236771, 236778, 236800, 236771, 236770, 236812, 236810, 236825, 236832, 236828, 236776, 236770, 1018, 138, 107, 139, 236829, 7396, 149681, 10474, 573, 94109, 1301, 1042, 37119, 9725, 742, 189337, 162672, 81801, 695, 138, 107, 139, 236829, 11008, 149681, 128608, 3413, 3719, 529, 63020, 209121, 607, 9239, 27319, 1972, 1699, 3530, 4022, 12239, 236761, 138, 108, 1018, 4396, 50228, 53121, 138, 107, 236772, 9352, 506, 50123, 531, 5330, 822, 15028, 4038, 236789, 236745, 28981, 607, 8104, 4615, 236761, 138, 107, 236772, 15183, 496, 6369, 7710, 573, 6635, 55233, 26093, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 170935, 236888, 236743, 245502, 239794, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 3399, 3988, 75693, 12441, 532, 1202, 1156, 2432, 236787, 496, 4709, 2678, 13415, 15028, 600, 4065, 175842, 63020, 618, 506, 1689, 31831, 236764, 532, 531, 2426, 768, 993, 236789, 236751, 1027, 6330, 20333, 580, 63020, 236772, 5140, 46898, 23642, 600, 1451, 4208, 1699, 625, 45314, 236761, 1701, 506, 20333, 3927, 236764, 1161, 756, 19540, 131742, 236789, 618, 506, 1262, 3738, 236761, 1174, 1595, 236764, 564, 740, 5330, 506, 13415, 563, 1800, 2803, 532, 34915, 30705, 573, 3402, 4749, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 1201, 1083, 623, 188863, 2024, 145030, 189337, 607, 5165, 4250, 2797, 87078, 827, 623, 77095, 1083, 11058, 236770, 175842, 63020, 568, 55673, 524, 22730, 623, 236770, 236786, 236812, 8578, 120701, 568, 4094, 875, 524, 22730, 623, 236778, 107072, 26012, 4446, 827, 623, 236770, 72881, 19555, 85048, 827, 623, 236770, 236786, 236778, 72881, 3866, 47442, 827, 623, 69654, 532, 22300, 531, 11613, 14255, 623, 96654, 1083, 623, 236774, 2581, 63020, 42595, 607, 26012, 4446, 236764, 85048, 236764, 47442, 236764, 9551, 236764, 532, 22300, 236761, 187986, 657, 236743, 236812, 236771, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236778, 236771, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 236768, 573, 236743, 236778, 236810, 4310, 236761, 9940, 120701, 3894, 531, 8289, 11808, 236761, 68988, 44685, 63020, 1024, 120701, 10498, 623, 14210, 1083, 623, 27144, 175842, 63020, 618, 506, 5905, 31831, 236764, 9273, 573, 46898, 48542, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 108803, 8225, 2024, 145030, 189337, 81592, 532, 55302, 10474, 827, 623, 119789, 236779, 5640, 1083, 623, 3118, 236778, 236771, 236778, 236770, 236771, 236771, 236770, 236810, 236812, 236800, 236778, 236776, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236770, 236772, 236771, 236770, 236772, 236778, 236770, 827, 623, 13066, 1083, 623, 236776, 46898, 13415, 25039, 44685, 175842, 63020, 236764, 120701, 236764, 532, 39994, 236764, 3008, 607, 496, 1996, 573, 36674, 18434, 1343, 43615, 129185, 1390, 23179, 3714, 3250, 1083, 623, 55376, 1316, 236772, 22515, 162672, 52258, 607, 83932, 134496, 29520, 827, 623, 119789, 236779, 5640, 1083, 623, 3118, 236778, 236771, 236770, 236819, 236771, 236778, 236828, 236778, 236819, 236810, 236825, 236776, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236819, 236772, 236770, 236819, 827, 623, 13066, 1083, 623, 236776, 61726, 1657, 573, 26614, 175842, 63020, 607, 106532, 531, 2619, 496, 1494, 236772, 56874, 46898, 13294, 236764, 2440, 6555, 573, 7595, 18088, 1390, 23179, 3714, 3250, 1083, 623, 9013, 573, 94109, 1301, 1042, 37119, 9725, 742, 189337, 162672, 81801, 695, 827, 623, 119789, 236779, 5640, 1083, 623, 3118, 236778, 236771, 236778, 236800, 236771, 236770, 236812, 236810, 236825, 236832, 236828, 236776, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236770, 827, 623, 13066, 1083, 623, 236776, 1458, 573, 3413, 236772, 65024, 46898, 63020, 209121, 607, 9239, 27319, 1972, 236764, 13803, 3530, 4022, 12239, 1913, 12652, 24002, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 1516, 236779, 6265, 1083, 623, 19540, 131742, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 573, 822, 3399, 3988, 75693, 12441, 236787, 108, 1018, 35093, 19222, 81592, 52258, 1018, 138, 107, 236829, 64020, 7343, 149681, 201752, 2024, 145030, 189337, 607, 5165, 4250, 2797, 87078, 138, 107, 236829, 64690, 149681, 138, 107, 236772, 236743, 236770, 175842, 63020, 568, 55673, 524, 236768, 138, 107, 236772, 236743, 236770, 236786, 236812, 8578, 120701, 568, 4094, 875, 524, 236768, 138, 107, 236772, 236743, 236778, 107072, 26012, 4446, 138, 107, 236772, 236743, 236770, 72881, 19555, 85048, 138, 107, 236772, 236743, 236770, 236786, 236778, 72881, 3866, 47442, 138, 107, 236772, 28501, 532, 22300, 531, 11613, 138, 108, 236829, 81851, 149681, 138, 107, 236770, 236761, 195062, 63020, 42595, 607, 26012, 4446, 236764, 85048, 236764, 47442, 236764, 9551, 236764, 532, 22300, 236761, 138, 107, 236778, 236761, 187986, 657, 236743, 236812, 236771, 236771, 237366, 236811, 568, 236778, 236771, 236771, 237366, 236780, 236768, 573, 236743, 236778, 236810, 4310, 236761, 138, 107, 236800, 236761, 9940, 120701, 3894, 531, 8289, 11808, 236761, 138, 107, 236812, 236761, 68988, 44685, 63020, 1024, 120701, 236761, 138, 108, 236829, 10282, 149681, 162672, 236772, 18865, 532, 20756, 175842, 63020, 618, 506, 4381, 31831, 236761, 108, 7243, 108, 1018, 178300, 12808, 17647, 568, 19540, 131742, 1473, 1018, 138, 107, 236770, 236761, 5213, 3118, 236778, 236771, 236778, 236770, 236771, 236771, 236770, 236810, 236812, 236800, 236778, 236776, 236770, 1018, 138, 107, 139, 236829, 7396, 149681, 162672, 2024, 145030, 189337, 81592, 532, 55302, 10474, 138, 107, 139, 236829, 11008, 149681, 20303, 496, 44685, 63020, 13415, 607, 120701, 532, 39994, 236764, 19541, 580, 43615, 129185, 8403, 236761, 138, 108, 236778, 236761, 5213, 3118, 236778, 236771, 236770, 236819, 236771, 236778, 236828, 236778, 236819, 236810, 236825, 236776, 236770, 1018, 138, 107, 139, 236829, 7396, 149681, 189337, 236772, 22515, 162672, 52258, 607, 83932, 134496, 29520, 138, 107, 139, 236829, 11008, 149681, 131742, 496, 1657, 26614, 63020, 607, 106532, 573, 1494, 236772, 56874, 18917, 236764, 2440, 7595, 18088, 236761, 138, 108, 236800, 236761, 5213, 3118, 236778, 236771, 236778, 236800, 236771, 236770, 236812, 236810, 236825, 236832, 236828, 236776, 236770, 1018, 138, 107, 139, 236829, 7396, 149681, 10474, 573, 94109, 1301, 1042, 37119, 9725, 742, 189337, 162672, 81801, 695, 138, 107, 139, 236829, 11008, 149681, 128608, 3413, 3719, 529, 63020, 209121, 607, 9239, 27319, 1972, 1699, 3530, 4022, 12239, 236761, 138, 108, 1018, 4396, 50228, 53121, 138, 107, 236772, 9352, 506, 50123, 531, 5330, 822, 15028, 4038, 236789, 236745, 28981, 607, 8104, 4615, 236761, 138, 107, 236772, 15183, 496, 6369, 7710, 573, 6635, 55233, 26093, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 170935, 236888, 236743, 245502, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 5860, 532, 1202, 531, 1281, 506, 3421, 573, 86358, 26382, 236789, 236751, 206242, 236764, 19175, 236770, 236776, 236743, 236770, 8686, 236761, 28344, 611, 2426, 600, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 93862, 1083, 78493, 1257, 236770, 1083, 623, 38614, 20082, 26382, 827, 623, 1257, 236778, 1083, 623, 20163, 43617, 827, 623, 13319, 1083, 623, 27822, 827, 623, 78660, 1083, 623, 68619, 5860, 827, 623, 3274, 3970, 1083, 623, 23729, 236770, 236776, 236743, 236770, 8686, 827, 623, 14801, 1083, 623, 27211, 15305, 236775, 165075, 106, 107, 105, 4368, 107, 818, 3421, 573, 86358, 26382, 607, 206242, 19175, 236770, 236776, 236743, 236770, 8686, 563, 236787, 108, 1018, 38614, 20082, 26382, 1018, 138, 107, 20163, 43617, 138, 107, 27822, 236764, 37056, 5860, 138, 107, 23729, 236770, 236776, 236743, 236770, 8686, 138, 107, 27211, 15305, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 607, 822, 7946, 6995, 236888, 103453, 106, 107, 105, 2364, 107, 8574, 611, 974, 506, 6524, 1903, 4668, 45774, 236881, 564, 1461, 531, 1460, 768, 993, 236789, 236751, 1027, 2132, 12496, 1003, 16270, 86358, 26382, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 1083, 78493, 3250, 1083, 623, 38614, 20082, 26382, 185131, 66242, 18943, 41910, 35174, 827, 623, 6265, 1083, 623, 78692, 7074, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 6011, 1083, 623, 818, 19833, 19698, 795, 12975, 1061, 16270, 3885, 1913, 5312, 3794, 531, 25430, 4869, 22436, 5056, 221476, 3714, 3250, 1083, 623, 17827, 37728, 6885, 121815, 1799, 54442, 573, 26382, 66328, 827, 623, 6265, 1083, 623, 818, 43112, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 6011, 1083, 623, 4199, 5646, 28463, 532, 22479, 11091, 8314, 573, 4913, 32468, 2440, 86358, 26382, 221476, 3714, 3250, 1083, 623, 56424, 12831, 531, 23949, 77653, 32903, 847, 657, 86358, 26382, 827, 623, 6265, 1083, 623, 48818, 7074, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236812, 827, 623, 6011, 1083, 623, 19118, 4749, 14812, 531, 1686, 506, 14596, 236789, 236751, 61936, 77653, 236764, 607, 2803, 26931, 2487, 657, 506, 38159, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 4668, 45774, 4596, 531, 16270, 86358, 26382, 236787, 108, 236770, 236761, 5213, 78692, 7074, 568, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 62902, 138, 107, 139, 71510, 38614, 20082, 26382, 185131, 66242, 18943, 41910, 35174, 147698, 138, 107, 139, 818, 19833, 19698, 795, 12975, 16270, 3885, 1913, 5312, 531, 25430, 4869, 22436, 5056, 236761, 108, 236778, 236761, 5213, 818, 43112, 568, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 62902, 138, 107, 139, 71510, 17827, 37728, 6885, 121815, 1799, 54442, 573, 26382, 66328, 147698, 138, 107, 139, 4199, 5646, 28463, 532, 22479, 11091, 735, 1010, 8314, 573, 32468, 1133, 86358, 26382, 236761, 108, 236800, 236761, 5213, 48818, 7074, 568, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236812, 62902, 138, 107, 139, 71510, 56424, 12831, 531, 23949, 77653, 32903, 847, 657, 86358, 26382, 147698, 138, 107, 139, 19118, 4749, 659, 14812, 531, 1686, 506, 14596, 236789, 236751, 61936, 77653, 236764, 607, 2803, 26931, 2487, 657, 506, 38159, 236761, 108, 9208, 12496, 1451, 4100, 822, 3517, 237028, 4256, 506, 5125, 86358, 26382, 4456, 573, 1759, 236772, 2289, 4889, 580, 52246, 236764, 3885, 236764, 532, 2460, 30916, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 103453, 106, 107, 105, 2364, 107, 8574, 611, 1385, 872, 506, 8514, 529, 623, 229448, 77653, 51653, 564, 5004, 625, 6950, 528, 506, 4668, 1003, 86358, 26382, 4749, 532, 1461, 531, 3050, 1144, 625, 2820, 1680, 6995, 2101, 625, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 229448, 77653, 827, 623, 30124, 1083, 623, 236776, 61936, 77653, 563, 496, 19138, 36996, 506, 236743, 236832, 236771, 594, 19640, 529, 496, 53509, 236789, 236751, 85607, 531, 506, 44233, 236761, 1701, 2591, 236764, 14596, 17187, 3664, 236789, 236751, 61936, 77653, 528, 236743, 236778, 236771, 236778, 236778, 23101, 236743, 236832, 236771, 1518, 529, 1116, 28797, 1781, 236783, 106, 107, 105, 4368, 107, 818, 1941, 5213, 236775, 229448, 77653, 236775, 1018, 17230, 531, 506, 5213, 236832, 236771, 594, 19640, 529, 496, 53509, 236789, 236751, 28797, 84750, 1701, 2591, 236764, 14596, 17187, 3664, 236789, 236751, 61936, 77653, 528, 236743, 236778, 236771, 236778, 236778, 23101, 236743, 236832, 236771, 1518, 2338, 1116, 85607, 531, 506, 44233, 236761, 1174, 47722, 563, 11082, 11373, 684, 2803, 4749, 236764, 1237, 42927, 236764, 532, 43526, 847, 657, 19833, 83814, 1133, 86358, 26382, 236761, 5612, 14596, 17187, 3664, 6915, 3121, 528, 5857, 236743, 236778, 236771, 236778, 236778, 236764, 506, 236743, 236778, 236771, 236778, 236778, 42927, 964, 1116, 61936, 77653, 236761, 7129, 4803, 4668, 1003, 625, 568, 236744, 236761, 236759, 1126, 528, 236743, 236778, 236771, 236778, 236800, 236768, 1093, 4547, 23194, 531, 133112, 5085, 653, 40409, 580, 672, 17110, 2460, 236761, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 16329, 3530, 2460, 4889, 573, 822, 7946, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 5860, 532, 1202, 531, 1281, 506, 3421, 573, 86358, 26382, 236789, 236751, 206242, 236764, 19175, 236770, 236776, 236743, 236770, 8686, 236761, 28344, 611, 2426, 600, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 93862, 1083, 78493, 1257, 236770, 1083, 623, 38614, 20082, 26382, 827, 623, 1257, 236778, 1083, 623, 20163, 43617, 827, 623, 13319, 1083, 623, 27822, 827, 623, 78660, 1083, 623, 68619, 5860, 827, 623, 3274, 3970, 1083, 623, 23729, 236770, 236776, 236743, 236770, 8686, 827, 623, 14801, 1083, 623, 27211, 15305, 236775, 165075, 106, 107, 105, 4368, 107, 818, 3421, 573, 86358, 26382, 607, 206242, 19175, 236770, 236776, 236743, 236770, 8686, 563, 236787, 108, 1018, 38614, 20082, 26382, 1018, 138, 107, 20163, 43617, 138, 107, 27822, 236764, 37056, 5860, 138, 107, 23729, 236770, 236776, 236743, 236770, 8686, 138, 107, 27211, 15305, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 607, 822, 7946, 6995, 236888, 103453, 106, 107, 105, 2364, 107, 8574, 611, 974, 506, 6524, 1903, 4668, 45774, 236881, 564, 1461, 531, 1460, 768, 993, 236789, 236751, 1027, 2132, 12496, 1003, 16270, 86358, 26382, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 1083, 78493, 3250, 1083, 623, 38614, 20082, 26382, 185131, 66242, 18943, 41910, 35174, 827, 623, 6265, 1083, 623, 78692, 7074, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 6011, 1083, 623, 818, 19833, 19698, 795, 12975, 1061, 16270, 3885, 1913, 5312, 3794, 531, 25430, 4869, 22436, 5056, 221476, 3714, 3250, 1083, 623, 17827, 37728, 6885, 121815, 1799, 54442, 573, 26382, 66328, 827, 623, 6265, 1083, 623, 818, 43112, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 6011, 1083, 623, 4199, 5646, 28463, 532, 22479, 11091, 8314, 573, 4913, 32468, 2440, 86358, 26382, 221476, 3714, 3250, 1083, 623, 56424, 12831, 531, 23949, 77653, 32903, 847, 657, 86358, 26382, 827, 623, 6265, 1083, 623, 48818, 7074, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236812, 827, 623, 6011, 1083, 623, 19118, 4749, 14812, 531, 1686, 506, 14596, 236789, 236751, 61936, 77653, 236764, 607, 2803, 26931, 2487, 657, 506, 38159, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 4668, 45774, 4596, 531, 16270, 86358, 26382, 236787, 108, 236770, 236761, 5213, 78692, 7074, 568, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 62902, 138, 107, 139, 71510, 38614, 20082, 26382, 185131, 66242, 18943, 41910, 35174, 147698, 138, 107, 139, 818, 19833, 19698, 795, 12975, 16270, 3885, 1913, 5312, 531, 25430, 4869, 22436, 5056, 236761, 108, 236778, 236761, 5213, 818, 43112, 568, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 62902, 138, 107, 139, 71510, 17827, 37728, 6885, 121815, 1799, 54442, 573, 26382, 66328, 147698, 138, 107, 139, 4199, 5646, 28463, 532, 22479, 11091, 735, 1010, 8314, 573, 32468, 1133, 86358, 26382, 236761, 108, 236800, 236761, 5213, 48818, 7074, 568, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236812, 62902, 138, 107, 139, 71510, 56424, 12831, 531, 23949, 77653, 32903, 847, 657, 86358, 26382, 147698, 138, 107, 139, 19118, 4749, 659, 14812, 531, 1686, 506, 14596, 236789, 236751, 61936, 77653, 236764, 607, 2803, 26931, 2487, 657, 506, 38159, 236761, 108, 9208, 12496, 1451, 4100, 822, 3517, 237028, 4256, 506, 5125, 86358, 26382, 4456, 573, 1759, 236772, 2289, 4889, 580, 52246, 236764, 3885, 236764, 532, 2460, 30916, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 103453, 106, 107, 105, 2364, 107, 8574, 611, 1385, 872, 506, 8514, 529, 623, 229448, 77653, 51653, 564, 5004, 625, 6950, 528, 506, 4668, 1003, 86358, 26382, 4749, 532, 1461, 531, 3050, 1144, 625, 2820, 1680, 6995, 2101, 625, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 229448, 77653, 827, 623, 30124, 1083, 623, 236776, 61936, 77653, 563, 496, 19138, 36996, 506, 236743, 236832, 236771, 594, 19640, 529, 496, 53509, 236789, 236751, 85607, 531, 506, 44233, 236761, 1701, 2591, 236764, 14596, 17187, 3664, 236789, 236751, 61936, 77653, 528, 236743, 236778, 236771, 236778, 236778, 23101, 236743, 236832, 236771, 1518, 529, 1116, 28797, 1781, 236783, 106, 107, 105, 4368, 107, 818, 1941, 5213, 236775, 229448, 77653, 236775, 1018, 17230, 531, 506, 5213, 236832, 236771, 594, 19640, 529, 496, 53509, 236789, 236751, 28797, 84750, 1701, 2591, 236764, 14596, 17187, 3664, 236789, 236751, 61936, 77653, 528, 236743, 236778, 236771, 236778, 236778, 23101, 236743, 236832, 236771, 1518, 2338, 1116, 85607, 531, 506, 44233, 236761, 1174, 47722, 563, 11082, 11373, 684, 2803, 4749, 236764, 1237, 42927, 236764, 532, 43526, 847, 657, 19833, 83814, 1133, 86358, 26382, 236761, 5612, 14596, 17187, 3664, 6915, 3121, 528, 5857, 236743, 236778, 236771, 236778, 236778, 236764, 506, 236743, 236778, 236771, 236778, 236778, 42927, 964, 1116, 61936, 77653, 236761, 7129, 4803, 4668, 1003, 625, 568, 236744, 236761, 236759, 1126, 528, 236743, 236778, 236771, 236778, 236800, 236768, 1093, 4547, 23194, 531, 133112, 5085, 653, 40409, 580, 672, 17110, 2460, 236761, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 16329, 3530, 2460, 4889, 573, 822, 7946, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 67896, 32837, 236743, 236770, 21208, 90915, 573, 506, 236743, 236778, 236771, 236778, 236800, 3409, 24271, 684, 506, 32153, 2434, 236761, 564, 236789, 236757, 67981, 496, 2299, 529, 3399, 8672, 3272, 580, 1262, 3671, 236764, 532, 564, 1461, 531, 1161, 8568, 14906, 531, 1386, 506, 14485, 919, 120904, 236761, 669, 5904, 2246, 1374, 3204, 506, 8038, 618, 623, 574, 11476, 236779, 2244, 1013, 827, 3409, 618, 623, 236778, 236771, 236778, 236800, 827, 532, 2434, 618, 623, 107034, 3056, 3199, 611, 6518, 672, 15195, 607, 506, 3149, 43927, 6137, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14992, 1083, 623, 107034, 827, 623, 19458, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 574, 11476, 236779, 2244, 1013, 1083, 3714, 15670, 913, 236779, 574, 11476, 1083, 3714, 3473, 1083, 236743, 236778, 236764, 623, 11116, 1083, 236743, 236825, 236771, 236770, 236764, 623, 236750, 2620, 236779, 41979, 1083, 236743, 236828, 236764, 623, 28282, 74199, 1083, 236743, 236778, 236810, 1263, 623, 95483, 236779, 574, 11476, 1083, 3714, 73992, 17567, 1083, 3714, 3473, 1083, 236743, 236800, 236764, 623, 11116, 1083, 236743, 236778, 236800, 236812, 236764, 623, 236750, 2620, 236779, 41979, 1083, 236743, 236778, 236764, 623, 28282, 74199, 1083, 236743, 236770, 236771, 1263, 623, 38447, 24978, 1083, 3714, 3473, 1083, 236743, 236810, 236764, 623, 11116, 1083, 236743, 236770, 236832, 236771, 236764, 623, 236750, 2620, 236779, 41979, 1083, 236743, 236770, 236764, 623, 28282, 74199, 1083, 236743, 236828, 113527, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 45047, 3072, 573, 822, 3399, 8672, 3272, 236789, 1262, 3671, 16183, 236787, 108, 1018, 236778, 236771, 236778, 236800, 32837, 236743, 236770, 17607, 8383, 1013, 753, 32153, 10765, 1018, 108, 1018, 64477, 913, 236789, 17607, 53121, 107, 236772, 5213, 9223, 53121, 236743, 236778, 523, 107, 236772, 5213, 9640, 36526, 53121, 236743, 236825, 236771, 236770, 107, 236772, 5213, 71565, 72928, 53121, 236743, 236828, 107, 236772, 5213, 25998, 1940, 6706, 8546, 53121, 236743, 236778, 236810, 108, 1018, 161792, 236789, 17607, 53121, 107, 236770, 236761, 5213, 73992, 17567, 1018, 107, 139, 236772, 27180, 236787, 236743, 236800, 7221, 107, 139, 236772, 36526, 236787, 236743, 236778, 236800, 236812, 107, 139, 236772, 30925, 72928, 236787, 236743, 236778, 107, 139, 236772, 17422, 74199, 236787, 236743, 236770, 236771, 108, 236778, 236761, 5213, 38447, 24978, 1018, 107, 139, 236772, 27180, 236787, 236743, 236810, 594, 107, 139, 236772, 36526, 236787, 236743, 236770, 236832, 236771, 107, 139, 236772, 30925, 72928, 236787, 236743, 236770, 107, 139, 236772, 17422, 74199, 236787, 236743, 236828, 108, 1018, 2100, 13768, 44624, 36526, 53121, 107, 236770, 236761, 5213, 19622, 34010, 53121, 32153, 15575, 236743, 236825, 236771, 236770, 3298, 2558, 568, 236778, 236800, 236812, 900, 236743, 236770, 236832, 236771, 578, 236743, 236812, 236771, 236812, 699, 14397, 236764, 68118, 236743, 236770, 236819, 236832, 3298, 699, 1032, 7021, 236768, 107, 236778, 236761, 5213, 17561, 71293, 53121, 236743, 236828, 7547, 18779, 607, 236743, 236778, 236810, 48579, 236751, 568, 236800, 236778, 236908, 3345, 3136, 236764, 236743, 236832, 236828, 236908, 48579, 3136, 236768, 107, 236800, 236761, 5213, 18325, 36520, 53121, 17567, 7728, 24978, 3298, 7232, 578, 236743, 236778, 236800, 236812, 236787, 236770, 236832, 236771, 568, 240443, 236812, 236787, 236800, 236768, 107, 236812, 236761, 5213, 100368, 17605, 53121, 32153, 236789, 236743, 236778, 236771, 236778, 236800, 3298, 568, 236825, 236771, 236770, 236768, 7728, 910, 236743, 236778, 236771, 236778, 236778, 2558, 568, 236828, 236771, 236800, 236768, 3831, 496, 236743, 236778, 236810, 236908, 11086, 108, 38786, 611, 1133, 786, 531, 8082, 1027, 3530, 14966, 653, 3600, 3671, 20958, 573, 822, 3272, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 67896, 32837, 236743, 236770, 21208, 90915, 573, 506, 236743, 236778, 236771, 236778, 236800, 3409, 24271, 684, 506, 32153, 2434, 236761, 564, 236789, 236757, 67981, 496, 2299, 529, 3399, 8672, 3272, 580, 1262, 3671, 236764, 532, 564, 1461, 531, 1161, 8568, 14906, 531, 1386, 506, 14485, 919, 120904, 236761, 669, 5904, 2246, 1374, 3204, 506, 8038, 618, 623, 574, 11476, 236779, 2244, 1013, 827, 3409, 618, 623, 236778, 236771, 236778, 236800, 827, 532, 2434, 618, 623, 107034, 3056, 3199, 611, 6518, 672, 15195, 607, 506, 3149, 43927, 6137, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14992, 1083, 623, 107034, 827, 623, 19458, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 574, 11476, 236779, 2244, 1013, 1083, 3714, 15670, 913, 236779, 574, 11476, 1083, 3714, 3473, 1083, 236743, 236778, 236764, 623, 11116, 1083, 236743, 236825, 236771, 236770, 236764, 623, 236750, 2620, 236779, 41979, 1083, 236743, 236828, 236764, 623, 28282, 74199, 1083, 236743, 236778, 236810, 1263, 623, 95483, 236779, 574, 11476, 1083, 3714, 73992, 17567, 1083, 3714, 3473, 1083, 236743, 236800, 236764, 623, 11116, 1083, 236743, 236778, 236800, 236812, 236764, 623, 236750, 2620, 236779, 41979, 1083, 236743, 236778, 236764, 623, 28282, 74199, 1083, 236743, 236770, 236771, 1263, 623, 38447, 24978, 1083, 3714, 3473, 1083, 236743, 236810, 236764, 623, 11116, 1083, 236743, 236770, 236832, 236771, 236764, 623, 236750, 2620, 236779, 41979, 1083, 236743, 236770, 236764, 623, 28282, 74199, 1083, 236743, 236828, 113527, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 45047, 3072, 573, 822, 3399, 8672, 3272, 236789, 1262, 3671, 16183, 236787, 108, 1018, 236778, 236771, 236778, 236800, 32837, 236743, 236770, 17607, 8383, 1013, 753, 32153, 10765, 1018, 108, 1018, 64477, 913, 236789, 17607, 53121, 107, 236772, 5213, 9223, 53121, 236743, 236778, 523, 107, 236772, 5213, 9640, 36526, 53121, 236743, 236825, 236771, 236770, 107, 236772, 5213, 71565, 72928, 53121, 236743, 236828, 107, 236772, 5213, 25998, 1940, 6706, 8546, 53121, 236743, 236778, 236810, 108, 1018, 161792, 236789, 17607, 53121, 107, 236770, 236761, 5213, 73992, 17567, 1018, 107, 139, 236772, 27180, 236787, 236743, 236800, 7221, 107, 139, 236772, 36526, 236787, 236743, 236778, 236800, 236812, 107, 139, 236772, 30925, 72928, 236787, 236743, 236778, 107, 139, 236772, 17422, 74199, 236787, 236743, 236770, 236771, 108, 236778, 236761, 5213, 38447, 24978, 1018, 107, 139, 236772, 27180, 236787, 236743, 236810, 594, 107, 139, 236772, 36526, 236787, 236743, 236770, 236832, 236771, 107, 139, 236772, 30925, 72928, 236787, 236743, 236770, 107, 139, 236772, 17422, 74199, 236787, 236743, 236828, 108, 1018, 2100, 13768, 44624, 36526, 53121, 107, 236770, 236761, 5213, 19622, 34010, 53121, 32153, 15575, 236743, 236825, 236771, 236770, 3298, 2558, 568, 236778, 236800, 236812, 900, 236743, 236770, 236832, 236771, 578, 236743, 236812, 236771, 236812, 699, 14397, 236764, 68118, 236743, 236770, 236819, 236832, 3298, 699, 1032, 7021, 236768, 107, 236778, 236761, 5213, 17561, 71293, 53121, 236743, 236828, 7547, 18779, 607, 236743, 236778, 236810, 48579, 236751, 568, 236800, 236778, 236908, 3345, 3136, 236764, 236743, 236832, 236828, 236908, 48579, 3136, 236768, 107, 236800, 236761, 5213, 18325, 36520, 53121, 17567, 7728, 24978, 3298, 7232, 578, 236743, 236778, 236800, 236812, 236787, 236770, 236832, 236771, 568, 240443, 236812, 236787, 236800, 236768, 107, 236812, 236761, 5213, 100368, 17605, 53121, 32153, 236789, 236743, 236778, 236771, 236778, 236800, 3298, 568, 236825, 236771, 236770, 236768, 7728, 910, 236743, 236778, 236771, 236778, 236778, 2558, 568, 236828, 236771, 236800, 236768, 3831, 496, 236743, 236778, 236810, 236908, 11086, 108, 38786, 611, 1133, 786, 531, 8082, 1027, 3530, 14966, 653, 3600, 3671, 20958, 573, 822, 3272, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 54909, 532, 32187, 91397, 33065, 573, 496, 3399, 2460, 564, 236789, 236757, 6995, 236761, 669, 2460, 795, 17159, 2263, 9992, 3668, 4083, 532, 41449, 4252, 28968, 236764, 532, 564, 1461, 531, 27968, 7798, 8886, 33065, 531, 15474, 40303, 236761, 5715, 236789, 236751, 1217, 564, 236789, 236753, 1133, 611, 531, 7162, 236787, 236743, 236770, 236761, 5315, 236764, 1161, 974, 40066, 906, 3287, 531, 1586, 14970, 44100, 1015, 65607, 528, 9226, 236786, 124977, 3004, 236761, 11696, 573, 44100, 607, 70729, 600, 3204, 9992, 3668, 4083, 22888, 653, 41449, 4252, 13792, 236761, 28293, 684, 15154, 14906, 531, 1586, 506, 1346, 86820, 44100, 236761, 236743, 236778, 236761, 9920, 692, 735, 23284, 44100, 236764, 1161, 974, 40066, 1582, 580, 910, 1903, 33065, 531, 16807, 901, 8913, 607, 1023, 2460, 236789, 236751, 3213, 236761, 7179, 28436, 531, 5330, 3004, 563, 6780, 532, 35886, 5057, 236761, 236743, 236800, 236761, 1701, 506, 1346, 9273, 14970, 236764, 8729, 496, 184207, 675, 961, 10739, 1699, 974, 96897, 675, 961, 22361, 832, 547, 834, 692, 740, 5583, 4024, 625, 607, 40303, 236761, 669, 3205, 1374, 981, 58912, 528, 1023, 42527, 5417, 236761, 564, 236789, 236753, 1133, 531, 1460, 9813, 7248, 657, 1546, 5552, 834, 564, 740, 1386, 13819, 9886, 1003, 837, 33065, 531, 4926, 657, 506, 2460, 236761, 3792, 236789, 236751, 1502, 607, 2918, 886, 532, 3540, 506, 33797, 3835, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 906, 3287, 1083, 78493, 76562, 236779, 547, 1083, 623, 11234, 236779, 236771, 236771, 236770, 236778, 236778, 827, 623, 1201, 1083, 623, 16146, 52820, 6654, 827, 623, 13330, 1083, 3714, 36627, 1083, 623, 111534, 51941, 68916, 528, 9992, 3668, 67966, 1343, 8886, 54491, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 76647, 1083, 236743, 236770, 236828, 236819, 236771, 236771, 1263, 623, 236752, 6740, 1083, 78493, 40066, 236779, 547, 1083, 623, 123300, 236779, 236832, 236828, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 22945, 6279, 43810, 1276, 50955, 1718, 827, 623, 7777, 1083, 623, 102711, 8886, 2707, 58442, 236743, 236770, 236819, 236778, 236771, 236751, 88539, 32286, 19571, 532, 28885, 125711, 827, 623, 19112, 1083, 11058, 66089, 3668, 4083, 827, 623, 111534, 9426, 14255, 623, 92506, 236779, 23251, 1083, 3714, 13084, 1083, 236743, 236800, 236812, 236778, 236771, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236764, 623, 18553, 236779, 26514, 236779, 2289, 1083, 623, 236778, 236787, 236770, 236810, 127096, 59117, 3714, 76562, 236779, 547, 1083, 623, 11234, 236779, 236771, 236771, 236800, 236771, 236810, 827, 623, 1201, 1083, 623, 236823, 25771, 1425, 827, 623, 13330, 1083, 3714, 36627, 1083, 623, 134030, 236772, 5140, 14970, 11452, 7107, 57337, 41449, 4252, 9871, 827, 623, 7125, 1083, 623, 236707, 236764, 26493, 827, 623, 76647, 1083, 236743, 236770, 236812, 236778, 236771, 236771, 1263, 623, 236752, 6740, 1083, 78493, 40066, 236779, 547, 1083, 623, 123300, 236779, 236819, 236778, 236800, 236828, 236828, 827, 623, 1201, 1083, 623, 153386, 586, 107368, 28644, 827, 623, 7777, 1083, 623, 46217, 63287, 2707, 18482, 17110, 41449, 132616, 532, 2246, 236772, 624, 236772, 6275, 827, 623, 19112, 1083, 11058, 236823, 25771, 4252, 827, 623, 183277, 10358, 14255, 623, 92506, 236779, 23251, 1083, 3714, 13084, 1083, 236743, 236778, 236770, 236828, 236771, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236800, 236778, 236771, 236771, 236771, 236764, 623, 18553, 236779, 26514, 236779, 2289, 1083, 623, 236800, 236787, 236812, 236771, 127096, 21111, 1604, 623, 4874, 236779, 14423, 1083, 623, 164591, 236779, 236770, 236778, 236800, 236812, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1041, 3671, 529, 506, 1346, 7798, 14970, 44100, 573, 822, 2460, 236787, 108, 1018, 236770, 236761, 10358, 52820, 6654, 568, 109180, 236764, 23639, 62902, 107, 236772, 10624, 5411, 528, 9992, 3668, 11858, 67966, 107, 236772, 8231, 67886, 236787, 623, 22945, 6279, 43810, 1276, 50955, 1718, 236775, 107, 138, 236772, 59494, 236743, 236770, 236819, 236778, 236771, 236751, 88539, 32286, 5975, 2707, 107, 138, 236772, 236743, 236800, 236812, 236778, 236764, 236771, 236771, 236771, 8208, 1109, 236743, 236812, 236810, 236764, 236771, 236771, 236771, 12085, 1109, 236743, 236778, 236787, 236770, 236810, 4398, 14120, 107, 138, 236772, 64663, 236787, 9992, 3668, 4083, 236764, 32462, 9426, 108, 1018, 236778, 236761, 47450, 1425, 568, 236707, 236764, 26493, 62902, 107, 236772, 41527, 236772, 5140, 14970, 11452, 10317, 580, 41449, 4252, 107, 236772, 8231, 67886, 236787, 623, 153386, 586, 107368, 28644, 236775, 107, 138, 236772, 31023, 63287, 2707, 607, 17110, 41449, 132616, 107, 138, 236772, 236743, 236778, 236770, 236828, 236764, 236771, 236771, 236771, 8208, 1109, 236743, 236800, 236778, 236764, 236771, 236771, 236771, 12085, 1109, 236743, 236800, 236787, 236812, 236771, 4398, 14120, 107, 138, 236772, 64663, 236787, 47450, 4252, 236764, 62709, 10358, 108, 22186, 44100, 15128, 3188, 15154, 532, 92353, 25000, 607, 822, 2460, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 91820, 9813, 28436, 573, 10358, 52820, 6654, 236789, 236751, 623, 22945, 6279, 43810, 1276, 50955, 1718, 236775, 568, 123300, 236779, 236832, 236828, 236800, 236812, 236810, 779, 653, 107, 236778, 236761, 91820, 4889, 573, 47450, 1425, 236789, 236751, 623, 153386, 586, 107368, 28644, 236775, 568, 123300, 236779, 236819, 236778, 236800, 236828, 236828, 779, 653, 107, 236800, 236761, 7179, 1800, 33065, 573, 13611, 9960, 236881, 108, 236820, 18220, 236813, 107, 236772, 974, 40066, 1582, 568, 1708, 3477, 236786, 27413, 14970, 62606, 236768, 107, 954, 18220, 236813, 106, 107, 105, 2364, 107, 163501, 9813, 28436, 573, 1800, 33065, 236761, 564, 1461, 531, 10769, 910, 8330, 23003, 236764, 3004, 25000, 236764, 532, 15154, 19455, 2678, 236772, 2003, 236772, 2897, 1680, 3043, 496, 4893, 236761, 3792, 236789, 236751, 1502, 607, 10358, 52820, 6654, 236789, 236751, 623, 22945, 6279, 43810, 1276, 50955, 1718, 236775, 568, 123300, 236779, 236832, 236828, 236800, 236812, 236810, 236768, 1171, 236764, 1299, 47450, 1425, 236789, 236751, 623, 153386, 586, 107368, 28644, 236775, 568, 123300, 236779, 236819, 236778, 236800, 236828, 236828, 769, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 40066, 236779, 547, 1083, 623, 123300, 236779, 236832, 236828, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 151992, 47450, 107368, 8886, 20369, 827, 623, 7777, 1083, 623, 102711, 8886, 14970, 18482, 9144, 41449, 63287, 182082, 532, 11858, 10797, 1003, 9992, 3668, 15596, 28968, 236761, 49308, 236743, 236800, 236796, 23713, 38307, 4896, 62325, 607, 26644, 80323, 42437, 10498, 623, 76562, 1083, 3714, 11668, 1083, 623, 65707, 236779, 223420, 236779, 45134, 827, 623, 18146, 17238, 1083, 11058, 111534, 10358, 827, 623, 24068, 9426, 14255, 623, 92506, 236779, 23251, 1083, 3714, 28128, 236779, 13084, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236771, 236764, 623, 2364, 236779, 70686, 1083, 236743, 236812, 236761, 236828, 5237, 623, 19112, 1083, 11058, 236759, 25771, 827, 623, 124242, 236772, 40956, 236772, 18308, 827, 623, 50771, 236772, 52531, 14255, 623, 79205, 236779, 4818, 1083, 3714, 102229, 1083, 11058, 12087, 827, 623, 67618, 14255, 623, 32677, 236779, 13126, 1083, 623, 58591, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236778, 236772, 236770, 236812, 236774, 236770, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 3955, 236779, 88319, 1083, 11058, 166920, 5776, 4820, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 40066, 236779, 547, 1083, 623, 123300, 236779, 236819, 236778, 236800, 236828, 236828, 827, 623, 1201, 1083, 623, 236823, 25771, 85454, 86180, 827, 623, 7777, 1083, 623, 1425, 14970, 28448, 9992, 3668, 41449, 4252, 28968, 607, 21931, 63287, 182082, 532, 11858, 8268, 62325, 827, 623, 76562, 1083, 3714, 11668, 1083, 623, 50771, 236779, 236752, 6740, 236779, 1364, 827, 623, 18146, 17238, 1083, 11058, 66089, 3668, 4083, 827, 623, 24068, 8886, 9871, 14255, 623, 92506, 236779, 23251, 1083, 3714, 28128, 236779, 26514, 236779, 2289, 1083, 623, 236812, 236761, 236778, 4310, 827, 623, 58205, 236779, 4720, 1083, 623, 236800, 236828, 38032, 5237, 623, 79205, 236779, 4818, 1083, 3714, 102229, 1083, 11058, 75971, 12952, 21019, 236743, 236770, 236778, 135527, 623, 12087, 236743, 236819, 236862, 14255, 623, 32677, 1083, 623, 46561, 1662, 573, 5453, 236772, 8572, 7359, 23179, 623, 3955, 236779, 107996, 1083, 3714, 27053, 98894, 1083, 623, 75938, 827, 623, 50771, 236779, 28611, 1083, 623, 114895, 684, 4083, 11848, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 2678, 236772, 2003, 236772, 2897, 9960, 529, 506, 1156, 33065, 236787, 108, 1018, 236770, 236761, 88539, 43810, 1276, 50955, 1718, 568, 123300, 236779, 236832, 236828, 236800, 236812, 236810, 62902, 138, 107, 236772, 5213, 4795, 77453, 66515, 138, 107, 138, 236772, 236743, 236800, 236796, 38307, 4896, 62325, 607, 80323, 42437, 138, 107, 138, 236772, 30235, 580, 15596, 28968, 833, 11858, 10797, 138, 107, 138, 236772, 64663, 236787, 41449, 236764, 40241, 236772, 40956, 236772, 18308, 138, 107, 236772, 5213, 58972, 187779, 66515, 138, 107, 138, 236772, 151162, 236787, 9574, 236786, 67618, 568, 58591, 3736, 236768, 138, 107, 138, 236772, 11662, 42841, 236787, 7250, 236743, 236778, 236771, 236778, 236810, 138, 107, 138, 236772, 7918, 236787, 90434, 5776, 4820, 568, 14786, 4208, 36453, 236768, 138, 107, 236772, 5213, 227187, 66515, 138, 107, 138, 236772, 236743, 236800, 236812, 236778, 236764, 236771, 236771, 236771, 8208, 1109, 236743, 236812, 236810, 236764, 236771, 236771, 236771, 12085, 1109, 236743, 236778, 236787, 236770, 236810, 4398, 14120, 138, 107, 138, 236772, 60977, 14470, 236787, 236743, 236812, 236761, 236828, 236786, 236810, 138, 108, 1018, 236778, 236761, 47450, 85454, 86180, 568, 123300, 236779, 236819, 236778, 236800, 236828, 236828, 62902, 138, 107, 236772, 5213, 4795, 77453, 66515, 138, 107, 138, 236772, 59494, 63287, 182082, 607, 11858, 8268, 62325, 138, 107, 138, 236772, 128731, 9226, 10634, 684, 4083, 11848, 138, 107, 138, 236772, 64663, 236787, 9992, 3668, 4083, 236764, 11796, 8886, 138, 107, 236772, 5213, 58972, 187779, 66515, 138, 107, 138, 236772, 151162, 236787, 21019, 236743, 236770, 236778, 81540, 12087, 236743, 236819, 236862, 568, 6848, 236772, 8572, 18088, 236768, 138, 107, 138, 236772, 2301, 5776, 36654, 138, 107, 236772, 5213, 227187, 66515, 138, 107, 138, 236772, 236743, 236812, 236761, 236778, 9641, 4398, 14120, 1109, 236743, 236800, 236828, 236908, 11211, 3136, 138, 107, 138, 236772, 32462, 10634, 27662, 684, 11848, 138, 108, 1018, 211199, 66515, 138, 107, 236772, 5213, 17043, 573, 26228, 5932, 66515, 112970, 236779, 236819, 236778, 236800, 236828, 236828, 815, 4890, 4398, 14120, 568, 236812, 236761, 236778, 7728, 236743, 236778, 236787, 236770, 236810, 236768, 532, 27662, 9226, 10634, 138, 107, 236772, 5213, 17043, 573, 24246, 27938, 66515, 112970, 236779, 236832, 236828, 236800, 236812, 236810, 5469, 4709, 38307, 4896, 62325, 840, 607, 5776, 24481, 138, 107, 236772, 5213, 58972, 67316, 66515, 112970, 236779, 236819, 236778, 236800, 236828, 236828, 35813, 573, 25898, 4744, 37031, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 43550, 496, 184207, 675, 961, 573, 112970, 236779, 236819, 236778, 236800, 236828, 236828, 568, 87596, 15154, 19455, 20625, 138, 107, 236778, 236761, 8600, 496, 184207, 675, 961, 573, 112970, 236779, 236832, 236828, 236800, 236812, 236810, 568, 22468, 7426, 54491, 20625, 138, 107, 236800, 236761, 39525, 1800, 3835, 573, 1626, 9960, 236881, 138, 108, 236820, 18220, 236813, 138, 107, 236772, 974, 96897, 675, 961, 22361, 832, 547, 568, 1708, 3477, 236786, 27413, 14970, 62606, 236768, 138, 107, 954, 18220, 236813, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 54909, 532, 32187, 91397, 33065, 573, 496, 3399, 2460, 564, 236789, 236757, 6995, 236761, 669, 2460, 795, 17159, 2263, 9992, 3668, 4083, 532, 41449, 4252, 28968, 236764, 532, 564, 1461, 531, 27968, 7798, 8886, 33065, 531, 15474, 40303, 236761, 5715, 236789, 236751, 1217, 564, 236789, 236753, 1133, 611, 531, 7162, 236787, 236743, 236770, 236761, 5315, 236764, 1161, 974, 40066, 906, 3287, 531, 1586, 14970, 44100, 1015, 65607, 528, 9226, 236786, 124977, 3004, 236761, 11696, 573, 44100, 607, 70729, 600, 3204, 9992, 3668, 4083, 22888, 653, 41449, 4252, 13792, 236761, 28293, 684, 15154, 14906, 531, 1586, 506, 1346, 86820, 44100, 236761, 236743, 236778, 236761, 9920, 692, 735, 23284, 44100, 236764, 1161, 974, 40066, 1582, 580, 910, 1903, 33065, 531, 16807, 901, 8913, 607, 1023, 2460, 236789, 236751, 3213, 236761, 7179, 28436, 531, 5330, 3004, 563, 6780, 532, 35886, 5057, 236761, 236743, 236800, 236761, 1701, 506, 1346, 9273, 14970, 236764, 8729, 496, 184207, 675, 961, 10739, 1699, 974, 96897, 675, 961, 22361, 832, 547, 834, 692, 740, 5583, 4024, 625, 607, 40303, 236761, 669, 3205, 1374, 981, 58912, 528, 1023, 42527, 5417, 236761, 564, 236789, 236753, 1133, 531, 1460, 9813, 7248, 657, 1546, 5552, 834, 564, 740, 1386, 13819, 9886, 1003, 837, 33065, 531, 4926, 657, 506, 2460, 236761, 3792, 236789, 236751, 1502, 607, 2918, 886, 532, 3540, 506, 33797, 3835, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 906, 3287, 1083, 78493, 76562, 236779, 547, 1083, 623, 11234, 236779, 236771, 236771, 236770, 236778, 236778, 827, 623, 1201, 1083, 623, 16146, 52820, 6654, 827, 623, 13330, 1083, 3714, 36627, 1083, 623, 111534, 51941, 68916, 528, 9992, 3668, 67966, 1343, 8886, 54491, 827, 623, 7125, 1083, 623, 109180, 236764, 23639, 827, 623, 76647, 1083, 236743, 236770, 236828, 236819, 236771, 236771, 1263, 623, 236752, 6740, 1083, 78493, 40066, 236779, 547, 1083, 623, 123300, 236779, 236832, 236828, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 22945, 6279, 43810, 1276, 50955, 1718, 827, 623, 7777, 1083, 623, 102711, 8886, 2707, 58442, 236743, 236770, 236819, 236778, 236771, 236751, 88539, 32286, 19571, 532, 28885, 125711, 827, 623, 19112, 1083, 11058, 66089, 3668, 4083, 827, 623, 111534, 9426, 14255, 623, 92506, 236779, 23251, 1083, 3714, 13084, 1083, 236743, 236800, 236812, 236778, 236771, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236764, 623, 18553, 236779, 26514, 236779, 2289, 1083, 623, 236778, 236787, 236770, 236810, 127096, 59117, 3714, 76562, 236779, 547, 1083, 623, 11234, 236779, 236771, 236771, 236800, 236771, 236810, 827, 623, 1201, 1083, 623, 236823, 25771, 1425, 827, 623, 13330, 1083, 3714, 36627, 1083, 623, 134030, 236772, 5140, 14970, 11452, 7107, 57337, 41449, 4252, 9871, 827, 623, 7125, 1083, 623, 236707, 236764, 26493, 827, 623, 76647, 1083, 236743, 236770, 236812, 236778, 236771, 236771, 1263, 623, 236752, 6740, 1083, 78493, 40066, 236779, 547, 1083, 623, 123300, 236779, 236819, 236778, 236800, 236828, 236828, 827, 623, 1201, 1083, 623, 153386, 586, 107368, 28644, 827, 623, 7777, 1083, 623, 46217, 63287, 2707, 18482, 17110, 41449, 132616, 532, 2246, 236772, 624, 236772, 6275, 827, 623, 19112, 1083, 11058, 236823, 25771, 4252, 827, 623, 183277, 10358, 14255, 623, 92506, 236779, 23251, 1083, 3714, 13084, 1083, 236743, 236778, 236770, 236828, 236771, 236771, 236771, 236764, 623, 158076, 1083, 236743, 236800, 236778, 236771, 236771, 236771, 236764, 623, 18553, 236779, 26514, 236779, 2289, 1083, 623, 236800, 236787, 236812, 236771, 127096, 21111, 1604, 623, 4874, 236779, 14423, 1083, 623, 164591, 236779, 236770, 236778, 236800, 236812, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1041, 3671, 529, 506, 1346, 7798, 14970, 44100, 573, 822, 2460, 236787, 108, 1018, 236770, 236761, 10358, 52820, 6654, 568, 109180, 236764, 23639, 62902, 107, 236772, 10624, 5411, 528, 9992, 3668, 11858, 67966, 107, 236772, 8231, 67886, 236787, 623, 22945, 6279, 43810, 1276, 50955, 1718, 236775, 107, 138, 236772, 59494, 236743, 236770, 236819, 236778, 236771, 236751, 88539, 32286, 5975, 2707, 107, 138, 236772, 236743, 236800, 236812, 236778, 236764, 236771, 236771, 236771, 8208, 1109, 236743, 236812, 236810, 236764, 236771, 236771, 236771, 12085, 1109, 236743, 236778, 236787, 236770, 236810, 4398, 14120, 107, 138, 236772, 64663, 236787, 9992, 3668, 4083, 236764, 32462, 9426, 108, 1018, 236778, 236761, 47450, 1425, 568, 236707, 236764, 26493, 62902, 107, 236772, 41527, 236772, 5140, 14970, 11452, 10317, 580, 41449, 4252, 107, 236772, 8231, 67886, 236787, 623, 153386, 586, 107368, 28644, 236775, 107, 138, 236772, 31023, 63287, 2707, 607, 17110, 41449, 132616, 107, 138, 236772, 236743, 236778, 236770, 236828, 236764, 236771, 236771, 236771, 8208, 1109, 236743, 236800, 236778, 236764, 236771, 236771, 236771, 12085, 1109, 236743, 236800, 236787, 236812, 236771, 4398, 14120, 107, 138, 236772, 64663, 236787, 47450, 4252, 236764, 62709, 10358, 108, 22186, 44100, 15128, 3188, 15154, 532, 92353, 25000, 607, 822, 2460, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 91820, 9813, 28436, 573, 10358, 52820, 6654, 236789, 236751, 623, 22945, 6279, 43810, 1276, 50955, 1718, 236775, 568, 123300, 236779, 236832, 236828, 236800, 236812, 236810, 779, 653, 107, 236778, 236761, 91820, 4889, 573, 47450, 1425, 236789, 236751, 623, 153386, 586, 107368, 28644, 236775, 568, 123300, 236779, 236819, 236778, 236800, 236828, 236828, 779, 653, 107, 236800, 236761, 7179, 1800, 33065, 573, 13611, 9960, 236881, 108, 236820, 18220, 236813, 107, 236772, 974, 40066, 1582, 568, 1708, 3477, 236786, 27413, 14970, 62606, 236768, 107, 954, 18220, 236813, 106, 107, 105, 2364, 107, 163501, 9813, 28436, 573, 1800, 33065, 236761, 564, 1461, 531, 10769, 910, 8330, 23003, 236764, 3004, 25000, 236764, 532, 15154, 19455, 2678, 236772, 2003, 236772, 2897, 1680, 3043, 496, 4893, 236761, 3792, 236789, 236751, 1502, 607, 10358, 52820, 6654, 236789, 236751, 623, 22945, 6279, 43810, 1276, 50955, 1718, 236775, 568, 123300, 236779, 236832, 236828, 236800, 236812, 236810, 236768, 1171, 236764, 1299, 47450, 1425, 236789, 236751, 623, 153386, 586, 107368, 28644, 236775, 568, 123300, 236779, 236819, 236778, 236800, 236828, 236828, 769, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 40066, 236779, 547, 1083, 623, 123300, 236779, 236832, 236828, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 151992, 47450, 107368, 8886, 20369, 827, 623, 7777, 1083, 623, 102711, 8886, 14970, 18482, 9144, 41449, 63287, 182082, 532, 11858, 10797, 1003, 9992, 3668, 15596, 28968, 236761, 49308, 236743, 236800, 236796, 23713, 38307, 4896, 62325, 607, 26644, 80323, 42437, 10498, 623, 76562, 1083, 3714, 11668, 1083, 623, 65707, 236779, 223420, 236779, 45134, 827, 623, 18146, 17238, 1083, 11058, 111534, 10358, 827, 623, 24068, 9426, 14255, 623, 92506, 236779, 23251, 1083, 3714, 28128, 236779, 13084, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236771, 236764, 623, 2364, 236779, 70686, 1083, 236743, 236812, 236761, 236828, 5237, 623, 19112, 1083, 11058, 236759, 25771, 827, 623, 124242, 236772, 40956, 236772, 18308, 827, 623, 50771, 236772, 52531, 14255, 623, 79205, 236779, 4818, 1083, 3714, 102229, 1083, 11058, 12087, 827, 623, 67618, 14255, 623, 32677, 236779, 13126, 1083, 623, 58591, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236778, 236772, 236770, 236812, 236774, 236770, 236771, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 623, 3955, 236779, 88319, 1083, 11058, 166920, 5776, 4820, 99471, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 40066, 236779, 547, 1083, 623, 123300, 236779, 236819, 236778, 236800, 236828, 236828, 827, 623, 1201, 1083, 623, 236823, 25771, 85454, 86180, 827, 623, 7777, 1083, 623, 1425, 14970, 28448, 9992, 3668, 41449, 4252, 28968, 607, 21931, 63287, 182082, 532, 11858, 8268, 62325, 827, 623, 76562, 1083, 3714, 11668, 1083, 623, 50771, 236779, 236752, 6740, 236779, 1364, 827, 623, 18146, 17238, 1083, 11058, 66089, 3668, 4083, 827, 623, 24068, 8886, 9871, 14255, 623, 92506, 236779, 23251, 1083, 3714, 28128, 236779, 26514, 236779, 2289, 1083, 623, 236812, 236761, 236778, 4310, 827, 623, 58205, 236779, 4720, 1083, 623, 236800, 236828, 38032, 5237, 623, 79205, 236779, 4818, 1083, 3714, 102229, 1083, 11058, 75971, 12952, 21019, 236743, 236770, 236778, 135527, 623, 12087, 236743, 236819, 236862, 14255, 623, 32677, 1083, 623, 46561, 1662, 573, 5453, 236772, 8572, 7359, 23179, 623, 3955, 236779, 107996, 1083, 3714, 27053, 98894, 1083, 623, 75938, 827, 623, 50771, 236779, 28611, 1083, 623, 114895, 684, 4083, 11848, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 2678, 236772, 2003, 236772, 2897, 9960, 529, 506, 1156, 33065, 236787, 108, 1018, 236770, 236761, 88539, 43810, 1276, 50955, 1718, 568, 123300, 236779, 236832, 236828, 236800, 236812, 236810, 62902, 138, 107, 236772, 5213, 4795, 77453, 66515, 138, 107, 138, 236772, 236743, 236800, 236796, 38307, 4896, 62325, 607, 80323, 42437, 138, 107, 138, 236772, 30235, 580, 15596, 28968, 833, 11858, 10797, 138, 107, 138, 236772, 64663, 236787, 41449, 236764, 40241, 236772, 40956, 236772, 18308, 138, 107, 236772, 5213, 58972, 187779, 66515, 138, 107, 138, 236772, 151162, 236787, 9574, 236786, 67618, 568, 58591, 3736, 236768, 138, 107, 138, 236772, 11662, 42841, 236787, 7250, 236743, 236778, 236771, 236778, 236810, 138, 107, 138, 236772, 7918, 236787, 90434, 5776, 4820, 568, 14786, 4208, 36453, 236768, 138, 107, 236772, 5213, 227187, 66515, 138, 107, 138, 236772, 236743, 236800, 236812, 236778, 236764, 236771, 236771, 236771, 8208, 1109, 236743, 236812, 236810, 236764, 236771, 236771, 236771, 12085, 1109, 236743, 236778, 236787, 236770, 236810, 4398, 14120, 138, 107, 138, 236772, 60977, 14470, 236787, 236743, 236812, 236761, 236828, 236786, 236810, 138, 108, 1018, 236778, 236761, 47450, 85454, 86180, 568, 123300, 236779, 236819, 236778, 236800, 236828, 236828, 62902, 138, 107, 236772, 5213, 4795, 77453, 66515, 138, 107, 138, 236772, 59494, 63287, 182082, 607, 11858, 8268, 62325, 138, 107, 138, 236772, 128731, 9226, 10634, 684, 4083, 11848, 138, 107, 138, 236772, 64663, 236787, 9992, 3668, 4083, 236764, 11796, 8886, 138, 107, 236772, 5213, 58972, 187779, 66515, 138, 107, 138, 236772, 151162, 236787, 21019, 236743, 236770, 236778, 81540, 12087, 236743, 236819, 236862, 568, 6848, 236772, 8572, 18088, 236768, 138, 107, 138, 236772, 2301, 5776, 36654, 138, 107, 236772, 5213, 227187, 66515, 138, 107, 138, 236772, 236743, 236812, 236761, 236778, 9641, 4398, 14120, 1109, 236743, 236800, 236828, 236908, 11211, 3136, 138, 107, 138, 236772, 32462, 10634, 27662, 684, 11848, 138, 108, 1018, 211199, 66515, 138, 107, 236772, 5213, 17043, 573, 26228, 5932, 66515, 112970, 236779, 236819, 236778, 236800, 236828, 236828, 815, 4890, 4398, 14120, 568, 236812, 236761, 236778, 7728, 236743, 236778, 236787, 236770, 236810, 236768, 532, 27662, 9226, 10634, 138, 107, 236772, 5213, 17043, 573, 24246, 27938, 66515, 112970, 236779, 236832, 236828, 236800, 236812, 236810, 5469, 4709, 38307, 4896, 62325, 840, 607, 5776, 24481, 138, 107, 236772, 5213, 58972, 67316, 66515, 112970, 236779, 236819, 236778, 236800, 236828, 236828, 35813, 573, 25898, 4744, 37031, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 43550, 496, 184207, 675, 961, 573, 112970, 236779, 236819, 236778, 236800, 236828, 236828, 568, 87596, 15154, 19455, 20625, 138, 107, 236778, 236761, 8600, 496, 184207, 675, 961, 573, 112970, 236779, 236832, 236828, 236800, 236812, 236810, 568, 22468, 7426, 54491, 20625, 138, 107, 236800, 236761, 39525, 1800, 3835, 573, 1626, 9960, 236881, 138, 108, 236820, 18220, 236813, 138, 107, 236772, 974, 96897, 675, 961, 22361, 832, 547, 568, 1708, 3477, 236786, 27413, 14970, 62606, 236768, 138, 107, 954, 18220, 236813, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8812, 496, 2401, 603, 236778, 236799, 4301, 22238, 573, 1041, 2460, 6995, 1960, 600, 71926, 607, 2263, 123987, 8217, 22479, 3797, 532, 1759, 236772, 2289, 15830, 1262, 236761, 669, 22238, 1374, 2174, 11961, 7391, 531, 2619, 28233, 4301, 17489, 26614, 2460, 16677, 236764, 54472, 236764, 532, 67722, 2263, 9871, 1133, 558, 236761, 236780, 236761, 97625, 15707, 26931, 653, 164298, 1099, 4025, 13988, 27893, 79192, 236761, 3199, 611, 1171, 1702, 506, 22238, 13217, 600, 32407, 607, 6330, 22479, 56918, 236764, 1299, 2619, 496, 30221, 7937, 58442, 506, 12434, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 49357, 236779, 2451, 1083, 623, 2574, 1411, 49357, 236761, 16927, 16542, 1108, 236772, 43201, 36895, 236761, 854, 827, 623, 49701, 236779, 4818, 1083, 623, 2663, 4602, 10428, 6638, 531, 236743, 236770, 236778, 2263, 123987, 8217, 3797, 827, 623, 77418, 236779, 52078, 1083, 623, 2574, 1411, 49357, 236761, 16927, 16542, 1108, 236772, 43201, 36895, 236761, 854, 236786, 16546, 236786, 77418, 236772, 236766, 236770, 236761, 236778, 236761, 10888, 827, 623, 20605, 236779, 16518, 1083, 11058, 20235, 236772, 2289, 8217, 15830, 8411, 827, 623, 3500, 15049, 233333, 7937, 827, 623, 16493, 76717, 17929, 607, 558, 236761, 236780, 236761, 97625, 15707, 26931, 827, 623, 22290, 585, 1099, 4025, 13988, 27893, 8289, 17353, 1277, 14255, 623, 79581, 236779, 4818, 1083, 623, 21723, 3453, 13313, 524, 528, 30365, 2590, 236772, 36257, 236772, 236770, 827, 623, 4874, 236779, 25438, 1083, 623, 2887, 23772, 7257, 14812, 573, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8688, 4981, 573, 822, 123987, 603, 236778, 236799, 4301, 22238, 236787, 108, 246978, 5213, 65465, 10739, 66515, 870, 2574, 1411, 49357, 236761, 16927, 16542, 1108, 236772, 43201, 36895, 236761, 854, 5457, 2574, 1411, 49357, 236761, 16927, 16542, 1108, 236772, 43201, 36895, 236761, 854, 236768, 138, 107, 253823, 5213, 68105, 18365, 66515, 56918, 10428, 6638, 531, 236743, 236770, 236778, 2263, 123987, 8217, 3797, 138, 107, 244878, 5213, 94435, 69759, 66515, 870, 18086, 16553, 5457, 2574, 1411, 49357, 236761, 16927, 16542, 1108, 236772, 43201, 36895, 236761, 854, 236786, 16546, 236786, 77418, 236772, 236766, 236770, 236761, 236778, 236761, 10888, 236768, 138, 108, 1018, 83467, 25772, 15097, 66515, 107, 236772, 10170, 236772, 2289, 8217, 15830, 8411, 607, 18774, 573, 11961, 6224, 107, 236772, 12209, 15049, 233333, 7937, 607, 52505, 25261, 9299, 12434, 107, 236772, 13287, 76717, 17929, 18482, 236787, 107, 138, 236772, 558, 236761, 236780, 236761, 97625, 15707, 4469, 39252, 107, 138, 236772, 164298, 1099, 4025, 13988, 27893, 8289, 17353, 1277, 607, 13290, 20310, 3835, 107, 236772, 21982, 236772, 27617, 7548, 44701, 607, 3869, 14988, 3958, 108, 1018, 123626, 18365, 66515, 138, 107, 55205, 6425, 3453, 13313, 524, 528, 2590, 236772, 36257, 236772, 236770, 4128, 607, 6282, 236772, 69473, 9831, 108, 1018, 9272, 50228, 66515, 138, 107, 2887, 23772, 7257, 14812, 573, 5365, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 568, 7624, 236789, 859, 5908, 1594, 28150, 4323, 4553, 236768, 108, 38786, 611, 1133, 786, 531, 2847, 3530, 4889, 1003, 1027, 2931, 5280, 653, 3727, 1343, 506, 7937, 4065, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8812, 496, 2401, 603, 236778, 236799, 4301, 22238, 573, 1041, 2460, 6995, 1960, 600, 71926, 607, 2263, 123987, 8217, 22479, 3797, 532, 1759, 236772, 2289, 15830, 1262, 236761, 669, 22238, 1374, 2174, 11961, 7391, 531, 2619, 28233, 4301, 17489, 26614, 2460, 16677, 236764, 54472, 236764, 532, 67722, 2263, 9871, 1133, 558, 236761, 236780, 236761, 97625, 15707, 26931, 653, 164298, 1099, 4025, 13988, 27893, 79192, 236761, 3199, 611, 1171, 1702, 506, 22238, 13217, 600, 32407, 607, 6330, 22479, 56918, 236764, 1299, 2619, 496, 30221, 7937, 58442, 506, 12434, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 49357, 236779, 2451, 1083, 623, 2574, 1411, 49357, 236761, 16927, 16542, 1108, 236772, 43201, 36895, 236761, 854, 827, 623, 49701, 236779, 4818, 1083, 623, 2663, 4602, 10428, 6638, 531, 236743, 236770, 236778, 2263, 123987, 8217, 3797, 827, 623, 77418, 236779, 52078, 1083, 623, 2574, 1411, 49357, 236761, 16927, 16542, 1108, 236772, 43201, 36895, 236761, 854, 236786, 16546, 236786, 77418, 236772, 236766, 236770, 236761, 236778, 236761, 10888, 827, 623, 20605, 236779, 16518, 1083, 11058, 20235, 236772, 2289, 8217, 15830, 8411, 827, 623, 3500, 15049, 233333, 7937, 827, 623, 16493, 76717, 17929, 607, 558, 236761, 236780, 236761, 97625, 15707, 26931, 827, 623, 22290, 585, 1099, 4025, 13988, 27893, 8289, 17353, 1277, 14255, 623, 79581, 236779, 4818, 1083, 623, 21723, 3453, 13313, 524, 528, 30365, 2590, 236772, 36257, 236772, 236770, 827, 623, 4874, 236779, 25438, 1083, 623, 2887, 23772, 7257, 14812, 573, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8688, 4981, 573, 822, 123987, 603, 236778, 236799, 4301, 22238, 236787, 108, 246978, 5213, 65465, 10739, 66515, 870, 2574, 1411, 49357, 236761, 16927, 16542, 1108, 236772, 43201, 36895, 236761, 854, 5457, 2574, 1411, 49357, 236761, 16927, 16542, 1108, 236772, 43201, 36895, 236761, 854, 236768, 138, 107, 253823, 5213, 68105, 18365, 66515, 56918, 10428, 6638, 531, 236743, 236770, 236778, 2263, 123987, 8217, 3797, 138, 107, 244878, 5213, 94435, 69759, 66515, 870, 18086, 16553, 5457, 2574, 1411, 49357, 236761, 16927, 16542, 1108, 236772, 43201, 36895, 236761, 854, 236786, 16546, 236786, 77418, 236772, 236766, 236770, 236761, 236778, 236761, 10888, 236768, 138, 108, 1018, 83467, 25772, 15097, 66515, 107, 236772, 10170, 236772, 2289, 8217, 15830, 8411, 607, 18774, 573, 11961, 6224, 107, 236772, 12209, 15049, 233333, 7937, 607, 52505, 25261, 9299, 12434, 107, 236772, 13287, 76717, 17929, 18482, 236787, 107, 138, 236772, 558, 236761, 236780, 236761, 97625, 15707, 4469, 39252, 107, 138, 236772, 164298, 1099, 4025, 13988, 27893, 8289, 17353, 1277, 607, 13290, 20310, 3835, 107, 236772, 21982, 236772, 27617, 7548, 44701, 607, 3869, 14988, 3958, 108, 1018, 123626, 18365, 66515, 138, 107, 55205, 6425, 3453, 13313, 524, 528, 2590, 236772, 36257, 236772, 236770, 4128, 607, 6282, 236772, 69473, 9831, 108, 1018, 9272, 50228, 66515, 138, 107, 2887, 23772, 7257, 14812, 573, 5365, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 568, 7624, 236789, 859, 5908, 1594, 28150, 4323, 4553, 236768, 108, 38786, 611, 1133, 786, 531, 2847, 3530, 4889, 1003, 1027, 2931, 5280, 653, 3727, 1343, 506, 7937, 4065, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236858, 560, 1010, 6972, 1003, 192643, 1070, 15749, 699, 1041, 15047, 1960, 1131, 18300, 236764, 840, 564, 236858, 236757, 496, 3103, 855, 529, 1041, 8744, 236761, 28344, 611, 2426, 506, 1873, 2862, 6527, 573, 9265, 568, 5352, 7627, 236768, 580, 188196, 532, 9947, 568, 226046, 236768, 580, 188196, 236881, 564, 236858, 236753, 1133, 531, 10769, 910, 2436, 3736, 1680, 3043, 1027, 12489, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 5352, 7627, 827, 623, 39588, 1083, 623, 84203, 827, 623, 4002, 236779, 9707, 1083, 236743, 236800, 236771, 236810, 236761, 236778, 236778, 236764, 623, 20845, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 4177, 236779, 45118, 1083, 10955, 236771, 236761, 236832, 236810, 236908, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 226046, 827, 623, 39588, 1083, 623, 84203, 827, 623, 9707, 1083, 236743, 236770, 236819, 236800, 236761, 236812, 236778, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 20845, 1083, 236743, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236764, 623, 4177, 236779, 18223, 1083, 753, 236771, 236761, 236812, 236810, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236810, 236819, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 9265, 568, 5352, 7627, 236768, 532, 9947, 568, 226046, 236768, 2862, 3736, 580, 188196, 236787, 108, 1018, 18801, 568, 5352, 7627, 62902, 107, 236772, 14040, 3385, 236787, 609, 236800, 236771, 236810, 236761, 236778, 236778, 107, 236772, 18245, 2352, 236787, 900, 236771, 236761, 236832, 236810, 236908, 568, 30558, 7296, 236768, 107, 236772, 42716, 5542, 236787, 236743, 236778, 236810, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 108, 1018, 31319, 568, 226046, 62902, 107, 236772, 14040, 3385, 236787, 609, 236770, 236819, 236800, 236761, 236812, 236778, 107, 236772, 18245, 2352, 236787, 753, 236771, 236761, 236812, 236810, 236908, 568, 27851, 7296, 236768, 107, 236772, 42716, 5542, 236787, 236743, 236819, 236828, 236764, 236832, 236825, 236810, 236764, 236812, 236800, 236778, 568, 58668, 3715, 46840, 236768, 108, 18801, 563, 6807, 15281, 4803, 3736, 607, 4414, 14700, 236764, 1651, 9947, 563, 24165, 6495, 26876, 4204, 3124, 236761, 10508, 18300, 735, 1607, 9507, 753, 9265, 815, 3715, 3385, 810, 4024, 840, 3718, 12376, 5542, 5483, 531, 9947, 236761, 1701, 496, 861, 29311, 236764, 672, 12205, 12501, 7627, 2473, 577, 919, 10385, 1651, 87342, 236798, 815, 919, 5158, 12376, 236761, 236743, 108, 38786, 611, 1133, 786, 531, 8082, 1144, 1239, 19455, 2689, 528, 919, 8052, 653, 1601, 611, 2958, 1032, 18300, 573, 77557, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236858, 560, 1010, 6972, 1003, 192643, 1070, 15749, 699, 1041, 15047, 1960, 1131, 18300, 236764, 840, 564, 236858, 236757, 496, 3103, 855, 529, 1041, 8744, 236761, 28344, 611, 2426, 506, 1873, 2862, 6527, 573, 9265, 568, 5352, 7627, 236768, 580, 188196, 532, 9947, 568, 226046, 236768, 580, 188196, 236881, 564, 236858, 236753, 1133, 531, 10769, 910, 2436, 3736, 1680, 3043, 1027, 12489, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 5352, 7627, 827, 623, 39588, 1083, 623, 84203, 827, 623, 4002, 236779, 9707, 1083, 236743, 236800, 236771, 236810, 236761, 236778, 236778, 236764, 623, 20845, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236771, 236764, 623, 4177, 236779, 45118, 1083, 10955, 236771, 236761, 236832, 236810, 236908, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 64939, 1083, 623, 226046, 827, 623, 39588, 1083, 623, 84203, 827, 623, 9707, 1083, 236743, 236770, 236819, 236800, 236761, 236812, 236778, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 20845, 1083, 236743, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236764, 623, 4177, 236779, 18223, 1083, 753, 236771, 236761, 236812, 236810, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236810, 236819, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 9265, 568, 5352, 7627, 236768, 532, 9947, 568, 226046, 236768, 2862, 3736, 580, 188196, 236787, 108, 1018, 18801, 568, 5352, 7627, 62902, 107, 236772, 14040, 3385, 236787, 609, 236800, 236771, 236810, 236761, 236778, 236778, 107, 236772, 18245, 2352, 236787, 900, 236771, 236761, 236832, 236810, 236908, 568, 30558, 7296, 236768, 107, 236772, 42716, 5542, 236787, 236743, 236778, 236810, 236764, 236771, 236771, 236771, 236764, 236771, 236771, 236771, 108, 1018, 31319, 568, 226046, 62902, 107, 236772, 14040, 3385, 236787, 609, 236770, 236819, 236800, 236761, 236812, 236778, 107, 236772, 18245, 2352, 236787, 753, 236771, 236761, 236812, 236810, 236908, 568, 27851, 7296, 236768, 107, 236772, 42716, 5542, 236787, 236743, 236819, 236828, 236764, 236832, 236825, 236810, 236764, 236812, 236800, 236778, 568, 58668, 3715, 46840, 236768, 108, 18801, 563, 6807, 15281, 4803, 3736, 607, 4414, 14700, 236764, 1651, 9947, 563, 24165, 6495, 26876, 4204, 3124, 236761, 10508, 18300, 735, 1607, 9507, 753, 9265, 815, 3715, 3385, 810, 4024, 840, 3718, 12376, 5542, 5483, 531, 9947, 236761, 1701, 496, 861, 29311, 236764, 672, 12205, 12501, 7627, 2473, 577, 919, 10385, 1651, 87342, 236798, 815, 919, 5158, 12376, 236761, 236743, 108, 38786, 611, 1133, 786, 531, 8082, 1144, 1239, 19455, 2689, 528, 919, 8052, 653, 1601, 611, 2958, 1032, 18300, 573, 77557, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 79115, 506, 8610, 756, 64860, 236789, 607, 506, 9980, 756, 29907, 236761, 13107, 236789, 531, 2426, 1061, 15020, 4981, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 8610, 15020, 38485, 5904, 653, 37677, 2249, 7609, 18544, 528, 506, 1873, 5904, 1025, 236761, 669, 2487, 6436, 1186, 6060, 2881, 15852, 236764, 2544, 34438, 236764, 532, 8582, 236786, 4005, 34369, 236761, 1599, 236789, 859, 1202, 531, 1161, 496, 8610, 15020, 2509, 653, 37677, 2249, 12454, 531, 2426, 16150, 13107, 236775, 8610, 15830, 5467, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 79115, 506, 8610, 756, 64860, 236789, 607, 506, 9980, 756, 29907, 236761, 13107, 236789, 531, 2426, 1061, 15020, 4981, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 8610, 15020, 38485, 5904, 653, 37677, 2249, 7609, 18544, 528, 506, 1873, 5904, 1025, 236761, 669, 2487, 6436, 1186, 6060, 2881, 15852, 236764, 2544, 34438, 236764, 532, 8582, 236786, 4005, 34369, 236761, 1599, 236789, 859, 1202, 531, 1161, 496, 8610, 15020, 2509, 653, 37677, 2249, 12454, 531, 2426, 16150, 13107, 236775, 8610, 15830, 5467, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 12270, 786, 784, 506, 1295, 4681, 573, 506, 27705, 756, 132473, 103709, 564, 1202, 531, 18840, 910, 1873, 37539, 573, 496, 4071, 236772, 78024, 5417, 2748, 236761, 3792, 236789, 236751, 1502, 607, 600, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4554, 236779, 11245, 1083, 11058, 4968, 555, 827, 623, 4968, 236743, 236800, 827, 623, 4968, 1684, 827, 623, 4968, 895, 827, 623, 40284, 8218, 12099, 827, 623, 42814, 3430, 827, 623, 88130, 827, 623, 4968, 236743, 236778, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 1295, 4681, 2487, 573, 35620, 236787, 108, 236772, 9483, 555, 138, 107, 236772, 9483, 236743, 236800, 138, 107, 236772, 9483, 1684, 138, 107, 236772, 9483, 895, 138, 107, 236772, 14554, 8218, 12099, 138, 107, 236772, 227630, 138, 107, 236772, 72775, 138, 107, 236772, 9483, 236743, 236778, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 9813, 23003, 573, 1027, 529, 1239, 4681, 653, 10686, 607, 822, 5417, 3671, 236888, 106, 107, 105, 2364, 107, 6445, 600, 564, 735, 506, 35620, 37539, 236764, 564, 1202, 531, 18840, 5417, 1456, 528, 910, 10055, 193733, 236761, 28344, 611, 2426, 9593, 15663, 573, 6249, 580, 35903, 236772, 526, 10055, 5417, 6647, 236881, 28293, 573, 5422, 5192, 532, 756, 80401, 236789, 8038, 236761, 564, 236789, 236757, 3182, 573, 4803, 25386, 531, 4071, 236772, 30449, 607, 78695, 22907, 8443, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 228024, 1083, 78493, 3250, 1083, 623, 49789, 104767, 236772, 94252, 46357, 26810, 236787, 64656, 532, 22470, 1854, 827, 623, 9707, 1083, 6610, 236832, 236819, 236761, 236819, 236819, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 827, 623, 143828, 1083, 623, 236819, 236832, 236828, 236772, 236800, 236771, 236800, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 2451, 1083, 623, 2574, 1411, 546, 12246, 236761, 854, 236786, 236799, 236771, 236799, 54283, 236770, 236778, 236800, 236812, 827, 623, 10618, 1083, 623, 80401, 827, 623, 19859, 1083, 623, 27832, 23179, 3714, 3250, 1083, 623, 60914, 7621, 573, 46357, 29287, 236787, 4934, 38197, 542, 108130, 531, 118325, 3705, 827, 623, 9707, 1083, 6610, 236770, 236771, 236812, 236761, 236810, 236771, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236771, 236770, 827, 623, 143828, 1083, 623, 236819, 236832, 236828, 236772, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 2451, 1083, 623, 2574, 1411, 546, 12246, 236761, 854, 236786, 236799, 236771, 142038, 236810, 236825, 236832, 236828, 236953, 827, 623, 10618, 1083, 623, 80401, 827, 623, 19859, 1083, 623, 27832, 23179, 3714, 3250, 1083, 623, 114281, 1940, 236772, 94252, 132022, 236787, 77459, 24802, 532, 12683, 143877, 827, 623, 9707, 1083, 6610, 236819, 236778, 236761, 236771, 236771, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236778, 236778, 827, 623, 143828, 1083, 623, 236819, 236832, 236828, 236772, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 2451, 1083, 623, 2574, 1411, 546, 12246, 236761, 854, 236786, 236799, 236771, 236799, 236828, 236823, 26722, 149248, 827, 623, 10618, 1083, 623, 80401, 827, 623, 19859, 1083, 623, 27832, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 28881, 236779, 103411, 1083, 3714, 10618, 547, 1083, 623, 80401, 827, 623, 19859, 3970, 1083, 623, 1439, 127096, 106, 107, 105, 4368, 107, 8291, 659, 4803, 9593, 15663, 573, 10630, 6249, 580, 35903, 236772, 526, 10055, 5417, 6647, 568, 27832, 5192, 1473, 108, 236770, 236761, 5213, 49789, 104767, 236772, 94252, 46357, 26810, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236832, 236819, 236761, 236819, 236819, 1109, 31825, 236787, 8934, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 870, 9473, 833, 44511, 5457, 2574, 1411, 546, 12246, 236761, 854, 236786, 236799, 236771, 236799, 54283, 236770, 236778, 236800, 236812, 236768, 138, 108, 236778, 236761, 5213, 60914, 7621, 573, 46357, 29287, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236771, 236812, 236761, 236810, 236771, 1109, 31825, 236787, 5656, 236743, 236778, 236771, 236778, 236812, 568, 3374, 4803, 236768, 138, 107, 139, 236772, 870, 9473, 833, 44511, 5457, 2574, 1411, 546, 12246, 236761, 854, 236786, 236799, 236771, 142038, 236810, 236825, 236832, 236828, 236953, 236768, 138, 108, 236800, 236761, 5213, 114281, 1940, 236772, 94252, 132022, 236787, 77459, 24802, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236819, 236778, 236761, 236771, 236771, 1109, 31825, 236787, 4655, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 870, 9473, 833, 44511, 5457, 2574, 1411, 546, 12246, 236761, 854, 236786, 236799, 236771, 236799, 236828, 236823, 26722, 149248, 236768, 138, 108, 818, 4168, 3822, 25010, 19246, 78695, 6182, 236764, 837, 1149, 1601, 607, 4071, 236772, 35380, 9908, 22907, 8443, 236761, 21284, 611, 1133, 786, 531, 8430, 2307, 2561, 23003, 699, 1239, 6249, 653, 3213, 580, 2264, 6084, 529, 822, 2748, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 18840, 506, 2260, 29141, 573, 2307, 22907, 3755, 236761, 28344, 611, 2426, 506, 7132, 529, 1239, 4171, 528, 506, 3847, 2260, 4889, 236787, 623, 155820, 1940, 236772, 526, 827, 623, 138061, 827, 623, 159947, 827, 623, 25510, 14770, 827, 532, 623, 179358, 70128, 56896, 3056, 1174, 795, 1601, 8701, 96460, 607, 78695, 236772, 9619, 5417, 8443, 564, 236789, 236757, 10334, 607, 236761, 106, 107, 105, 4368, 107, 236777, 3914, 5467, 18840, 2260, 29141, 699, 9593, 9851, 618, 506, 1816, 3004, 5889, 236789, 236745, 15283, 1343, 506, 9299, 236761, 3153, 236764, 564, 740, 1601, 611, 24473, 18840, 506, 2487, 1262, 699, 506, 15663, 3847, 236761, 3792, 236789, 236751, 8430, 532, 2426, 20660, 1699, 506, 19293, 532, 1027, 11325, 1816, 236787, 108, 236770, 236761, 5213, 21550, 5590, 573, 13768, 66515, 107, 139, 236772, 128809, 1186, 568, 1904, 29141, 2487, 528, 9299, 3072, 1473, 107, 141, 236772, 623, 49789, 104767, 236772, 94252, 46357, 26810, 236787, 64656, 532, 22470, 1854, 236775, 107, 141, 236772, 623, 60914, 7621, 573, 46357, 29287, 236787, 4934, 38197, 542, 108130, 531, 118325, 3705, 236775, 107, 141, 236772, 623, 114281, 1940, 236772, 94252, 132022, 236787, 77459, 24802, 532, 12683, 143877, 236775, 108, 236778, 236761, 5213, 69897, 7179, 17647, 66515, 107, 139, 236772, 5213, 155820, 1940, 236772, 526, 66515, 236743, 236800, 67144, 568, 233090, 528, 784, 19293, 236768, 107, 139, 236772, 5213, 138061, 66515, 236743, 236770, 24987, 568, 495, 1855, 3822, 236768, 107, 139, 236772, 5213, 159947, 66515, 236743, 236771, 67144, 107, 139, 236772, 5213, 25510, 14770, 66515, 236743, 236771, 67144, 107, 139, 236772, 5213, 179358, 70128, 56896, 66515, 236743, 236771, 67144, 108, 818, 19293, 3600, 496, 3213, 580, 35903, 236772, 526, 4181, 532, 22907, 5417, 236764, 840, 6220, 14481, 42298, 529, 78695, 236772, 9619, 17257, 653, 3530, 38727, 5417, 1133, 36048, 70128, 56896, 568, 236797, 11448, 769, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 26922, 506, 3847, 60973, 531, 24473, 8430, 29141, 568, 71681, 672, 1458, 236789, 236751, 15858, 20625, 107, 236778, 236761, 121353, 35620, 236789, 236751, 10055, 50123, 573, 8330, 23003, 236881, 107, 236800, 236761, 12713, 236772, 30449, 78695, 22907, 8443, 568, 236744, 236761, 236759, 1126, 83243, 236764, 22977, 236768, 5467, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 12270, 786, 784, 506, 1295, 4681, 573, 506, 27705, 756, 132473, 103709, 564, 1202, 531, 18840, 910, 1873, 37539, 573, 496, 4071, 236772, 78024, 5417, 2748, 236761, 3792, 236789, 236751, 1502, 607, 600, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4554, 236779, 11245, 1083, 11058, 4968, 555, 827, 623, 4968, 236743, 236800, 827, 623, 4968, 1684, 827, 623, 4968, 895, 827, 623, 40284, 8218, 12099, 827, 623, 42814, 3430, 827, 623, 88130, 827, 623, 4968, 236743, 236778, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 1295, 4681, 2487, 573, 35620, 236787, 108, 236772, 9483, 555, 138, 107, 236772, 9483, 236743, 236800, 138, 107, 236772, 9483, 1684, 138, 107, 236772, 9483, 895, 138, 107, 236772, 14554, 8218, 12099, 138, 107, 236772, 227630, 138, 107, 236772, 72775, 138, 107, 236772, 9483, 236743, 236778, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 9813, 23003, 573, 1027, 529, 1239, 4681, 653, 10686, 607, 822, 5417, 3671, 236888, 106, 107, 105, 2364, 107, 6445, 600, 564, 735, 506, 35620, 37539, 236764, 564, 1202, 531, 18840, 5417, 1456, 528, 910, 10055, 193733, 236761, 28344, 611, 2426, 9593, 15663, 573, 6249, 580, 35903, 236772, 526, 10055, 5417, 6647, 236881, 28293, 573, 5422, 5192, 532, 756, 80401, 236789, 8038, 236761, 564, 236789, 236757, 3182, 573, 4803, 25386, 531, 4071, 236772, 30449, 607, 78695, 22907, 8443, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 228024, 1083, 78493, 3250, 1083, 623, 49789, 104767, 236772, 94252, 46357, 26810, 236787, 64656, 532, 22470, 1854, 827, 623, 9707, 1083, 6610, 236832, 236819, 236761, 236819, 236819, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 827, 623, 143828, 1083, 623, 236819, 236832, 236828, 236772, 236800, 236771, 236800, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 2451, 1083, 623, 2574, 1411, 546, 12246, 236761, 854, 236786, 236799, 236771, 236799, 54283, 236770, 236778, 236800, 236812, 827, 623, 10618, 1083, 623, 80401, 827, 623, 19859, 1083, 623, 27832, 23179, 3714, 3250, 1083, 623, 60914, 7621, 573, 46357, 29287, 236787, 4934, 38197, 542, 108130, 531, 118325, 3705, 827, 623, 9707, 1083, 6610, 236770, 236771, 236812, 236761, 236810, 236771, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236771, 236770, 827, 623, 143828, 1083, 623, 236819, 236832, 236828, 236772, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 2451, 1083, 623, 2574, 1411, 546, 12246, 236761, 854, 236786, 236799, 236771, 142038, 236810, 236825, 236832, 236828, 236953, 827, 623, 10618, 1083, 623, 80401, 827, 623, 19859, 1083, 623, 27832, 23179, 3714, 3250, 1083, 623, 114281, 1940, 236772, 94252, 132022, 236787, 77459, 24802, 532, 12683, 143877, 827, 623, 9707, 1083, 6610, 236819, 236778, 236761, 236771, 236771, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236778, 236778, 827, 623, 143828, 1083, 623, 236819, 236832, 236828, 236772, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 2451, 1083, 623, 2574, 1411, 546, 12246, 236761, 854, 236786, 236799, 236771, 236799, 236828, 236823, 26722, 149248, 827, 623, 10618, 1083, 623, 80401, 827, 623, 19859, 1083, 623, 27832, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 28881, 236779, 103411, 1083, 3714, 10618, 547, 1083, 623, 80401, 827, 623, 19859, 3970, 1083, 623, 1439, 127096, 106, 107, 105, 4368, 107, 8291, 659, 4803, 9593, 15663, 573, 10630, 6249, 580, 35903, 236772, 526, 10055, 5417, 6647, 568, 27832, 5192, 1473, 108, 236770, 236761, 5213, 49789, 104767, 236772, 94252, 46357, 26810, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236832, 236819, 236761, 236819, 236819, 1109, 31825, 236787, 8934, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 870, 9473, 833, 44511, 5457, 2574, 1411, 546, 12246, 236761, 854, 236786, 236799, 236771, 236799, 54283, 236770, 236778, 236800, 236812, 236768, 138, 108, 236778, 236761, 5213, 60914, 7621, 573, 46357, 29287, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236771, 236812, 236761, 236810, 236771, 1109, 31825, 236787, 5656, 236743, 236778, 236771, 236778, 236812, 568, 3374, 4803, 236768, 138, 107, 139, 236772, 870, 9473, 833, 44511, 5457, 2574, 1411, 546, 12246, 236761, 854, 236786, 236799, 236771, 142038, 236810, 236825, 236832, 236828, 236953, 236768, 138, 108, 236800, 236761, 5213, 114281, 1940, 236772, 94252, 132022, 236787, 77459, 24802, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236819, 236778, 236761, 236771, 236771, 1109, 31825, 236787, 4655, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 870, 9473, 833, 44511, 5457, 2574, 1411, 546, 12246, 236761, 854, 236786, 236799, 236771, 236799, 236828, 236823, 26722, 149248, 236768, 138, 108, 818, 4168, 3822, 25010, 19246, 78695, 6182, 236764, 837, 1149, 1601, 607, 4071, 236772, 35380, 9908, 22907, 8443, 236761, 21284, 611, 1133, 786, 531, 8430, 2307, 2561, 23003, 699, 1239, 6249, 653, 3213, 580, 2264, 6084, 529, 822, 2748, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 18840, 506, 2260, 29141, 573, 2307, 22907, 3755, 236761, 28344, 611, 2426, 506, 7132, 529, 1239, 4171, 528, 506, 3847, 2260, 4889, 236787, 623, 155820, 1940, 236772, 526, 827, 623, 138061, 827, 623, 159947, 827, 623, 25510, 14770, 827, 532, 623, 179358, 70128, 56896, 3056, 1174, 795, 1601, 8701, 96460, 607, 78695, 236772, 9619, 5417, 8443, 564, 236789, 236757, 10334, 607, 236761, 106, 107, 105, 4368, 107, 236777, 3914, 5467, 18840, 2260, 29141, 699, 9593, 9851, 618, 506, 1816, 3004, 5889, 236789, 236745, 15283, 1343, 506, 9299, 236761, 3153, 236764, 564, 740, 1601, 611, 24473, 18840, 506, 2487, 1262, 699, 506, 15663, 3847, 236761, 3792, 236789, 236751, 8430, 532, 2426, 20660, 1699, 506, 19293, 532, 1027, 11325, 1816, 236787, 108, 236770, 236761, 5213, 21550, 5590, 573, 13768, 66515, 107, 139, 236772, 128809, 1186, 568, 1904, 29141, 2487, 528, 9299, 3072, 1473, 107, 141, 236772, 623, 49789, 104767, 236772, 94252, 46357, 26810, 236787, 64656, 532, 22470, 1854, 236775, 107, 141, 236772, 623, 60914, 7621, 573, 46357, 29287, 236787, 4934, 38197, 542, 108130, 531, 118325, 3705, 236775, 107, 141, 236772, 623, 114281, 1940, 236772, 94252, 132022, 236787, 77459, 24802, 532, 12683, 143877, 236775, 108, 236778, 236761, 5213, 69897, 7179, 17647, 66515, 107, 139, 236772, 5213, 155820, 1940, 236772, 526, 66515, 236743, 236800, 67144, 568, 233090, 528, 784, 19293, 236768, 107, 139, 236772, 5213, 138061, 66515, 236743, 236770, 24987, 568, 495, 1855, 3822, 236768, 107, 139, 236772, 5213, 159947, 66515, 236743, 236771, 67144, 107, 139, 236772, 5213, 25510, 14770, 66515, 236743, 236771, 67144, 107, 139, 236772, 5213, 179358, 70128, 56896, 66515, 236743, 236771, 67144, 108, 818, 19293, 3600, 496, 3213, 580, 35903, 236772, 526, 4181, 532, 22907, 5417, 236764, 840, 6220, 14481, 42298, 529, 78695, 236772, 9619, 17257, 653, 3530, 38727, 5417, 1133, 36048, 70128, 56896, 568, 236797, 11448, 769, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 26922, 506, 3847, 60973, 531, 24473, 8430, 29141, 568, 71681, 672, 1458, 236789, 236751, 15858, 20625, 107, 236778, 236761, 121353, 35620, 236789, 236751, 10055, 50123, 573, 8330, 23003, 236881, 107, 236800, 236761, 12713, 236772, 30449, 78695, 22907, 8443, 568, 236744, 236761, 236759, 1126, 83243, 236764, 22977, 236768, 5467, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 1873, 2436, 3439, 531, 10741, 1056, 531, 5510, 573, 861, 4993, 24027, 236761, 9187, 684, 16329, 506, 6782, 2436, 51602, 573, 506, 555, 236880, 236791, 236743, 236810, 236771, 236771, 531, 20138, 2870, 5527, 2404, 236761, 4298, 236764, 1385, 10916, 657, 7095, 15430, 528, 4993, 532, 100839, 236772, 10619, 13390, 236761, 13472, 236764, 10769, 5542, 5296, 1534, 9539, 236772, 5140, 4699, 532, 4559, 26694, 528, 1239, 18597, 236761, 1637, 1027, 2918, 20269, 236764, 2056, 1570, 607, 20843, 6137, 236761, 6890, 506, 2536, 531, 5840, 506, 1791, 21238, 573, 7224, 6182, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 1516, 1083, 3714, 12335, 8146, 236779, 40400, 1083, 236743, 236778, 236800, 236812, 236810, 236764, 623, 58431, 4049, 236779, 40400, 1083, 236743, 236770, 236819, 236828, 236764, 623, 1951, 236779, 11480, 236751, 1083, 236743, 236828, 236832, 236764, 623, 1951, 236779, 976, 236751, 1083, 236743, 236770, 236778, 236764, 623, 20845, 236779, 52447, 1083, 3714, 52531, 236779, 57512, 1083, 623, 236778, 236828, 236908, 529, 2558, 5542, 827, 623, 10869, 8057, 236779, 57512, 1083, 623, 236770, 236810, 236908, 529, 2558, 5542, 23179, 623, 57512, 236779, 176985, 1083, 3714, 6120, 236917, 1083, 623, 51757, 14700, 607, 236743, 236828, 236778, 236908, 18597, 6807, 4414, 51602, 23179, 623, 93855, 236779, 88933, 1083, 3714, 69033, 236779, 5140, 236779, 108957, 1083, 623, 236770, 236812, 236908, 3715, 5542, 1082, 4559, 4398, 528, 4993, 7095, 827, 623, 35896, 236779, 34032, 7428, 1083, 623, 122926, 5542, 607, 236743, 236800, 236908, 7945, 236792, 3877, 23179, 623, 28263, 236779, 14210, 1083, 623, 8782, 2436, 51602, 11387, 3188, 5527, 2404, 607, 3629, 15430, 528, 4993, 236772, 10619, 18597, 236761, 9539, 236772, 5140, 4699, 1407, 855, 21928, 4588, 236764, 22169, 27661, 3439, 573, 7224, 6182, 528, 1366, 236800, 221476, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 22515, 580, 506, 2436, 51602, 3671, 236764, 1873, 3439, 1407, 236787, 107, 236772, 27717, 6782, 2436, 2404, 568, 236778, 236800, 236812, 236810, 44528, 7728, 236743, 236770, 236819, 236828, 45261, 4342, 236768, 107, 236772, 9426, 7095, 5542, 657, 236743, 236778, 236828, 236908, 529, 2558, 2436, 4588, 107, 236772, 9539, 236772, 5140, 4993, 4699, 6807, 236743, 236770, 236812, 236908, 3715, 5542, 1082, 4559, 30055, 108, 818, 1262, 11387, 27661, 3439, 573, 4993, 236772, 10619, 19898, 236764, 607, 9539, 236772, 5140, 20880, 24165, 855, 21928, 14700, 236761, 669, 3671, 5433, 10916, 20756, 1366, 236800, 618, 614, 12567, 99299, 573, 7224, 6182, 2779, 531, 23226, 7095, 14700, 532, 10969, 15644, 236761, 564, 5840, 43660, 6182, 528, 3649, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 531, 63740, 580, 672, 4771, 529, 3188, 2436, 1894, 573, 4993, 19898, 236761, 106, 107, 105, 2364, 107, 818, 3671, 8687, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 618, 12567, 236764, 840, 2436, 1262, 11082, 22136, 1873, 3439, 236761, 28344, 611, 37386, 1217, 4448, 236772, 18985, 25268, 964, 8385, 236881, 39799, 236764, 1602, 506, 7095, 15430, 19455, 3204, 4448, 236772, 18985, 17785, 14984, 653, 4957, 2352, 25268, 573, 4993, 236786, 10869, 8057, 13390, 236881, 1637, 711, 236764, 1451, 611, 1221, 978, 506, 1262, 607, 496, 3213, 580, 3541, 236772, 6061, 5527, 25268, 568, 236744, 236761, 236759, 1126, 2148, 236743, 236825, 236772, 236770, 236778, 3794, 236768, 531, 59638, 506, 21238, 25809, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 57512, 236779, 176985, 1083, 3714, 16350, 236779, 2662, 1083, 623, 6120, 236917, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236800, 236771, 827, 623, 2289, 6516, 1083, 623, 71832, 827, 623, 1516, 236779, 2084, 1083, 623, 57512, 236779, 176985, 827, 623, 219444, 1083, 78493, 57512, 236779, 1201, 1083, 623, 39454, 833, 19035, 8057, 827, 623, 176985, 236779, 4720, 1083, 236743, 236771, 236761, 236825, 236778, 236764, 623, 12335, 8146, 236779, 40400, 1083, 236743, 236812, 236810, 236764, 623, 58431, 4049, 236779, 40400, 1083, 236743, 236770, 236778, 236764, 623, 20845, 1083, 623, 236778, 236761, 236800, 236799, 827, 623, 86896, 1083, 623, 30558, 23179, 3714, 57512, 236779, 1201, 1083, 623, 52571, 236751, 827, 623, 176985, 236779, 4720, 1083, 236743, 236771, 236761, 236810, 236828, 236764, 623, 12335, 8146, 236779, 40400, 1083, 236743, 236825, 236832, 236764, 623, 58431, 4049, 236779, 40400, 1083, 236743, 236778, 236770, 236764, 623, 20845, 1083, 623, 236812, 236761, 236770, 236799, 827, 623, 86896, 1083, 623, 45258, 23179, 3714, 57512, 236779, 1201, 1083, 623, 149178, 827, 623, 176985, 236779, 4720, 1083, 236743, 236771, 236761, 236812, 236770, 236764, 623, 12335, 8146, 236779, 40400, 1083, 236743, 236800, 236800, 236764, 623, 58431, 4049, 236779, 40400, 1083, 236743, 236778, 236828, 236764, 623, 20845, 1083, 623, 236800, 236761, 236828, 236799, 827, 623, 86896, 1083, 623, 27851, 25938, 1604, 623, 20845, 236779, 52447, 1083, 3714, 3991, 236779, 10728, 755, 236779, 219444, 1083, 11058, 39454, 833, 19035, 8057, 827, 623, 35741, 14255, 623, 7571, 236779, 10728, 755, 236779, 219444, 1083, 11058, 149178, 827, 623, 67544, 14255, 623, 6725, 236779, 16350, 236779, 20845, 1083, 623, 236770, 236828, 236761, 236832, 236799, 23179, 623, 16350, 236779, 16602, 236779, 88932, 1083, 3714, 27528, 594, 236779, 8318, 1083, 236743, 236832, 236828, 236764, 623, 58043, 1083, 623, 548, 108490, 827, 623, 85038, 567, 1083, 623, 236811, 66174, 3439, 573, 7095, 236772, 15396, 17461, 528, 4993, 23179, 623, 3991, 236779, 219444, 1083, 11058, 39454, 833, 19035, 8057, 827, 623, 35741, 827, 623, 69416, 1935, 1807, 106, 107, 105, 4368, 107, 818, 6524, 7095, 15430, 3671, 44898, 23226, 14700, 528, 4993, 236786, 10869, 8057, 13390, 1343, 236787, 107, 236772, 236743, 236825, 236778, 236908, 15430, 3136, 568, 12335, 8146, 7728, 236761, 45261, 4342, 236768, 107, 236772, 44771, 14700, 607, 236743, 236812, 236810, 44528, 7728, 236761, 236743, 236770, 236778, 45261, 4342, 107, 236772, 609, 236778, 236761, 236800, 236799, 5542, 13855, 236743, 236770, 236778, 236761, 236800, 236908, 529, 2558, 2436, 4588, 108, 9675, 236764, 506, 2436, 51602, 5904, 236789, 236751, 6137, 1186, 1894, 11858, 236786, 4002, 1262, 3671, 568, 15218, 99299, 236787, 13822, 236768, 4319, 1082, 4448, 236772, 18985, 35719, 236761, 669, 3303, 1366, 236800, 25809, 691, 2721, 580, 236787, 107, 236770, 236761, 14040, 5542, 5296, 568, 3991, 1521, 755, 7095, 4981, 236768, 107, 236778, 236761, 19987, 14700, 9935, 568, 69033, 4699, 855, 68219, 236768, 107, 236800, 236761, 138999, 15067, 528, 4993, 7095, 15430, 108, 2542, 10781, 7224, 6182, 236764, 564, 5840, 43660, 684, 5213, 30211, 236743, 236778, 236771, 236778, 236810, 1018, 531, 8913, 607, 236787, 107, 236772, 14040, 236743, 236825, 236778, 236908, 7095, 15430, 3136, 568, 78353, 2338, 236743, 236778, 236771, 236778, 236800, 236768, 107, 236772, 138999, 6332, 528, 4993, 7095, 5542, 568, 116645, 23338, 1366, 236800, 236772, 236935, 236812, 236768, 107, 236772, 19987, 15644, 528, 9539, 9766, 6807, 236743, 236770, 236812, 236908, 3715, 5542, 108, 38786, 611, 1133, 786, 531, 18840, 3530, 7224, 58658, 6658, 531, 1239, 2436, 3439, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 1873, 2436, 3439, 531, 10741, 1056, 531, 5510, 573, 861, 4993, 24027, 236761, 9187, 684, 16329, 506, 6782, 2436, 51602, 573, 506, 555, 236880, 236791, 236743, 236810, 236771, 236771, 531, 20138, 2870, 5527, 2404, 236761, 4298, 236764, 1385, 10916, 657, 7095, 15430, 528, 4993, 532, 100839, 236772, 10619, 13390, 236761, 13472, 236764, 10769, 5542, 5296, 1534, 9539, 236772, 5140, 4699, 532, 4559, 26694, 528, 1239, 18597, 236761, 1637, 1027, 2918, 20269, 236764, 2056, 1570, 607, 20843, 6137, 236761, 6890, 506, 2536, 531, 5840, 506, 1791, 21238, 573, 7224, 6182, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 1516, 1083, 3714, 12335, 8146, 236779, 40400, 1083, 236743, 236778, 236800, 236812, 236810, 236764, 623, 58431, 4049, 236779, 40400, 1083, 236743, 236770, 236819, 236828, 236764, 623, 1951, 236779, 11480, 236751, 1083, 236743, 236828, 236832, 236764, 623, 1951, 236779, 976, 236751, 1083, 236743, 236770, 236778, 236764, 623, 20845, 236779, 52447, 1083, 3714, 52531, 236779, 57512, 1083, 623, 236778, 236828, 236908, 529, 2558, 5542, 827, 623, 10869, 8057, 236779, 57512, 1083, 623, 236770, 236810, 236908, 529, 2558, 5542, 23179, 623, 57512, 236779, 176985, 1083, 3714, 6120, 236917, 1083, 623, 51757, 14700, 607, 236743, 236828, 236778, 236908, 18597, 6807, 4414, 51602, 23179, 623, 93855, 236779, 88933, 1083, 3714, 69033, 236779, 5140, 236779, 108957, 1083, 623, 236770, 236812, 236908, 3715, 5542, 1082, 4559, 4398, 528, 4993, 7095, 827, 623, 35896, 236779, 34032, 7428, 1083, 623, 122926, 5542, 607, 236743, 236800, 236908, 7945, 236792, 3877, 23179, 623, 28263, 236779, 14210, 1083, 623, 8782, 2436, 51602, 11387, 3188, 5527, 2404, 607, 3629, 15430, 528, 4993, 236772, 10619, 18597, 236761, 9539, 236772, 5140, 4699, 1407, 855, 21928, 4588, 236764, 22169, 27661, 3439, 573, 7224, 6182, 528, 1366, 236800, 221476, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 22515, 580, 506, 2436, 51602, 3671, 236764, 1873, 3439, 1407, 236787, 107, 236772, 27717, 6782, 2436, 2404, 568, 236778, 236800, 236812, 236810, 44528, 7728, 236743, 236770, 236819, 236828, 45261, 4342, 236768, 107, 236772, 9426, 7095, 5542, 657, 236743, 236778, 236828, 236908, 529, 2558, 2436, 4588, 107, 236772, 9539, 236772, 5140, 4993, 4699, 6807, 236743, 236770, 236812, 236908, 3715, 5542, 1082, 4559, 30055, 108, 818, 1262, 11387, 27661, 3439, 573, 4993, 236772, 10619, 19898, 236764, 607, 9539, 236772, 5140, 20880, 24165, 855, 21928, 14700, 236761, 669, 3671, 5433, 10916, 20756, 1366, 236800, 618, 614, 12567, 99299, 573, 7224, 6182, 2779, 531, 23226, 7095, 14700, 532, 10969, 15644, 236761, 564, 5840, 43660, 6182, 528, 3649, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 531, 63740, 580, 672, 4771, 529, 3188, 2436, 1894, 573, 4993, 19898, 236761, 106, 107, 105, 2364, 107, 818, 3671, 8687, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 618, 12567, 236764, 840, 2436, 1262, 11082, 22136, 1873, 3439, 236761, 28344, 611, 37386, 1217, 4448, 236772, 18985, 25268, 964, 8385, 236881, 39799, 236764, 1602, 506, 7095, 15430, 19455, 3204, 4448, 236772, 18985, 17785, 14984, 653, 4957, 2352, 25268, 573, 4993, 236786, 10869, 8057, 13390, 236881, 1637, 711, 236764, 1451, 611, 1221, 978, 506, 1262, 607, 496, 3213, 580, 3541, 236772, 6061, 5527, 25268, 568, 236744, 236761, 236759, 1126, 2148, 236743, 236825, 236772, 236770, 236778, 3794, 236768, 531, 59638, 506, 21238, 25809, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 57512, 236779, 176985, 1083, 3714, 16350, 236779, 2662, 1083, 623, 6120, 236917, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236800, 236771, 827, 623, 2289, 6516, 1083, 623, 71832, 827, 623, 1516, 236779, 2084, 1083, 623, 57512, 236779, 176985, 827, 623, 219444, 1083, 78493, 57512, 236779, 1201, 1083, 623, 39454, 833, 19035, 8057, 827, 623, 176985, 236779, 4720, 1083, 236743, 236771, 236761, 236825, 236778, 236764, 623, 12335, 8146, 236779, 40400, 1083, 236743, 236812, 236810, 236764, 623, 58431, 4049, 236779, 40400, 1083, 236743, 236770, 236778, 236764, 623, 20845, 1083, 623, 236778, 236761, 236800, 236799, 827, 623, 86896, 1083, 623, 30558, 23179, 3714, 57512, 236779, 1201, 1083, 623, 52571, 236751, 827, 623, 176985, 236779, 4720, 1083, 236743, 236771, 236761, 236810, 236828, 236764, 623, 12335, 8146, 236779, 40400, 1083, 236743, 236825, 236832, 236764, 623, 58431, 4049, 236779, 40400, 1083, 236743, 236778, 236770, 236764, 623, 20845, 1083, 623, 236812, 236761, 236770, 236799, 827, 623, 86896, 1083, 623, 45258, 23179, 3714, 57512, 236779, 1201, 1083, 623, 149178, 827, 623, 176985, 236779, 4720, 1083, 236743, 236771, 236761, 236812, 236770, 236764, 623, 12335, 8146, 236779, 40400, 1083, 236743, 236800, 236800, 236764, 623, 58431, 4049, 236779, 40400, 1083, 236743, 236778, 236828, 236764, 623, 20845, 1083, 623, 236800, 236761, 236828, 236799, 827, 623, 86896, 1083, 623, 27851, 25938, 1604, 623, 20845, 236779, 52447, 1083, 3714, 3991, 236779, 10728, 755, 236779, 219444, 1083, 11058, 39454, 833, 19035, 8057, 827, 623, 35741, 14255, 623, 7571, 236779, 10728, 755, 236779, 219444, 1083, 11058, 149178, 827, 623, 67544, 14255, 623, 6725, 236779, 16350, 236779, 20845, 1083, 623, 236770, 236828, 236761, 236832, 236799, 23179, 623, 16350, 236779, 16602, 236779, 88932, 1083, 3714, 27528, 594, 236779, 8318, 1083, 236743, 236832, 236828, 236764, 623, 58043, 1083, 623, 548, 108490, 827, 623, 85038, 567, 1083, 623, 236811, 66174, 3439, 573, 7095, 236772, 15396, 17461, 528, 4993, 23179, 623, 3991, 236779, 219444, 1083, 11058, 39454, 833, 19035, 8057, 827, 623, 35741, 827, 623, 69416, 1935, 1807, 106, 107, 105, 4368, 107, 818, 6524, 7095, 15430, 3671, 44898, 23226, 14700, 528, 4993, 236786, 10869, 8057, 13390, 1343, 236787, 107, 236772, 236743, 236825, 236778, 236908, 15430, 3136, 568, 12335, 8146, 7728, 236761, 45261, 4342, 236768, 107, 236772, 44771, 14700, 607, 236743, 236812, 236810, 44528, 7728, 236761, 236743, 236770, 236778, 45261, 4342, 107, 236772, 609, 236778, 236761, 236800, 236799, 5542, 13855, 236743, 236770, 236778, 236761, 236800, 236908, 529, 2558, 2436, 4588, 108, 9675, 236764, 506, 2436, 51602, 5904, 236789, 236751, 6137, 1186, 1894, 11858, 236786, 4002, 1262, 3671, 568, 15218, 99299, 236787, 13822, 236768, 4319, 1082, 4448, 236772, 18985, 35719, 236761, 669, 3303, 1366, 236800, 25809, 691, 2721, 580, 236787, 107, 236770, 236761, 14040, 5542, 5296, 568, 3991, 1521, 755, 7095, 4981, 236768, 107, 236778, 236761, 19987, 14700, 9935, 568, 69033, 4699, 855, 68219, 236768, 107, 236800, 236761, 138999, 15067, 528, 4993, 7095, 15430, 108, 2542, 10781, 7224, 6182, 236764, 564, 5840, 43660, 684, 5213, 30211, 236743, 236778, 236771, 236778, 236810, 1018, 531, 8913, 607, 236787, 107, 236772, 14040, 236743, 236825, 236778, 236908, 7095, 15430, 3136, 568, 78353, 2338, 236743, 236778, 236771, 236778, 236800, 236768, 107, 236772, 138999, 6332, 528, 4993, 7095, 5542, 568, 116645, 23338, 1366, 236800, 236772, 236935, 236812, 236768, 107, 236772, 19987, 15644, 528, 9539, 9766, 6807, 236743, 236770, 236812, 236908, 3715, 5542, 108, 38786, 611, 1133, 786, 531, 18840, 3530, 7224, 58658, 6658, 531, 1239, 2436, 3439, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 614, 11690, 3399, 49115, 2460, 657, 506, 9427, 2148, 8224, 532, 1202, 1601, 16329, 506, 7606, 236761, 5315, 236764, 2426, 4291, 24582, 236789, 236751, 7606, 573, 2148, 8224, 236761, 1637, 625, 3831, 6927, 653, 14567, 3426, 236743, 236810, 236771, 237366, 236811, 236764, 2426, 506, 2269, 8224, 2311, 236761, 1637, 1800, 14069, 659, 4287, 236764, 3600, 6049, 625, 44081, 236761, 2024, 768, 506, 1171, 2426, 20269, 236764, 2056, 1570, 3622, 1680, 26891, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 236777, 1202, 506, 50550, 532, 40899, 15375, 573, 4291, 24582, 531, 2426, 506, 7606, 236761, 28344, 611, 5091, 2847, 1239, 15375, 834, 564, 740, 7162, 607, 506, 7606, 2426, 573, 822, 2460, 236881, 106, 107, 105, 2364, 107, 818, 15375, 573, 4291, 24582, 659, 8296, 236743, 236812, 236770, 236761, 236828, 236812, 236800, 236828, 237366, 646, 236764, 236743, 236832, 236778, 236761, 236800, 236770, 236810, 236800, 237366, 649, 236761, 3792, 786, 1281, 1144, 506, 7606, 5724, 1133, 573, 2148, 8224, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 1083, 3714, 27495, 1083, 236743, 236810, 236810, 236761, 236812, 236764, 623, 77269, 1083, 236743, 236825, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236761, 236778, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19216, 1083, 623, 1655, 586, 35898, 23179, 623, 32320, 1083, 3714, 11480, 1083, 236743, 236825, 236771, 236761, 236828, 236764, 623, 976, 1083, 236743, 236810, 236778, 236761, 236800, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236770, 236810, 1263, 623, 180981, 1083, 78493, 13807, 1083, 623, 236819, 236787, 236771, 236771, 8151, 827, 623, 7617, 1083, 236743, 236810, 236812, 236761, 236770, 236764, 623, 19216, 1083, 623, 185060, 23179, 3714, 13807, 1083, 623, 236770, 236778, 236787, 236771, 236771, 8711, 827, 623, 7617, 1083, 236743, 236810, 236828, 236761, 236832, 236764, 623, 19216, 1083, 623, 1655, 586, 35898, 23179, 3714, 13807, 1083, 623, 236800, 236787, 236771, 236771, 8711, 827, 623, 7617, 1083, 236743, 236810, 236819, 236761, 236810, 236764, 623, 19216, 1083, 623, 9347, 23179, 3714, 13807, 1083, 623, 236825, 236787, 236771, 236771, 8711, 827, 623, 7617, 1083, 236743, 236810, 236825, 236761, 236819, 236764, 623, 19216, 1083, 623, 68626, 14958, 25938, 1604, 623, 6011, 1083, 623, 26588, 528, 4291, 24582, 2148, 8224, 7412, 27661, 573, 11690, 49115, 607, 18790, 11139, 532, 11893, 31632, 4652, 236761, 14066, 39252, 506, 2460, 1913, 5453, 236772, 1496, 3885, 573, 12567, 3439, 1781, 236783, 106, 107, 105, 4368, 107, 818, 7606, 573, 4291, 24582, 2148, 8224, 5724, 1822, 236888, 236743, 244746, 138, 107, 236772, 5213, 79287, 568, 236819, 236787, 236771, 236771, 8151, 1473, 1018, 236743, 236810, 236812, 236761, 236770, 237366, 236811, 236764, 17635, 138, 107, 236772, 5213, 41210, 1496, 568, 236770, 236778, 236787, 236771, 236771, 8711, 1473, 1018, 236743, 236810, 236828, 236761, 236832, 237366, 236811, 236764, 22043, 35898, 138, 107, 236772, 5213, 6259, 11663, 568, 236800, 236787, 236771, 236771, 8711, 1473, 1018, 236743, 236810, 236819, 236761, 236810, 237366, 236811, 236764, 3582, 55748, 138, 107, 236772, 5213, 164334, 568, 236825, 236787, 236771, 236771, 8711, 1473, 1018, 236743, 236810, 236825, 236761, 236819, 237366, 236811, 236764, 2321, 14958, 138, 108, 1018, 24355, 53121, 138, 107, 3771, 6927, 532, 11139, 21236, 2787, 236743, 236810, 236771, 237366, 236811, 784, 1719, 236888, 669, 7606, 2509, 37414, 5453, 236772, 1496, 3885, 568, 236770, 236778, 236787, 236771, 236771, 8711, 236964, 236800, 236787, 236771, 236771, 8711, 236768, 573, 12567, 3439, 236761, 1599, 236858, 500, 1535, 531, 7162, 607, 822, 11690, 49115, 2460, 2148, 8224, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 2426, 506, 2269, 8224, 618, 496, 21609, 3433, 573, 3402, 6995, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 614, 11690, 3399, 49115, 2460, 657, 506, 9427, 2148, 8224, 532, 1202, 1601, 16329, 506, 7606, 236761, 5315, 236764, 2426, 4291, 24582, 236789, 236751, 7606, 573, 2148, 8224, 236761, 1637, 625, 3831, 6927, 653, 14567, 3426, 236743, 236810, 236771, 237366, 236811, 236764, 2426, 506, 2269, 8224, 2311, 236761, 1637, 1800, 14069, 659, 4287, 236764, 3600, 6049, 625, 44081, 236761, 2024, 768, 506, 1171, 2426, 20269, 236764, 2056, 1570, 3622, 1680, 26891, 236761, 3792, 786, 1281, 1144, 611, 1586, 236888, 106, 107, 105, 4368, 107, 236777, 1202, 506, 50550, 532, 40899, 15375, 573, 4291, 24582, 531, 2426, 506, 7606, 236761, 28344, 611, 5091, 2847, 1239, 15375, 834, 564, 740, 7162, 607, 506, 7606, 2426, 573, 822, 2460, 236881, 106, 107, 105, 2364, 107, 818, 15375, 573, 4291, 24582, 659, 8296, 236743, 236812, 236770, 236761, 236828, 236812, 236800, 236828, 237366, 646, 236764, 236743, 236832, 236778, 236761, 236800, 236770, 236810, 236800, 237366, 649, 236761, 3792, 786, 1281, 1144, 506, 7606, 5724, 1133, 573, 2148, 8224, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 1083, 3714, 27495, 1083, 236743, 236810, 236810, 236761, 236812, 236764, 623, 77269, 1083, 236743, 236825, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236761, 236778, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 19216, 1083, 623, 1655, 586, 35898, 23179, 623, 32320, 1083, 3714, 11480, 1083, 236743, 236825, 236771, 236761, 236828, 236764, 623, 976, 1083, 236743, 236810, 236778, 236761, 236800, 236764, 623, 44340, 236779, 60423, 1083, 236743, 236770, 236810, 1263, 623, 180981, 1083, 78493, 13807, 1083, 623, 236819, 236787, 236771, 236771, 8151, 827, 623, 7617, 1083, 236743, 236810, 236812, 236761, 236770, 236764, 623, 19216, 1083, 623, 185060, 23179, 3714, 13807, 1083, 623, 236770, 236778, 236787, 236771, 236771, 8711, 827, 623, 7617, 1083, 236743, 236810, 236828, 236761, 236832, 236764, 623, 19216, 1083, 623, 1655, 586, 35898, 23179, 3714, 13807, 1083, 623, 236800, 236787, 236771, 236771, 8711, 827, 623, 7617, 1083, 236743, 236810, 236819, 236761, 236810, 236764, 623, 19216, 1083, 623, 9347, 23179, 3714, 13807, 1083, 623, 236825, 236787, 236771, 236771, 8711, 827, 623, 7617, 1083, 236743, 236810, 236825, 236761, 236819, 236764, 623, 19216, 1083, 623, 68626, 14958, 25938, 1604, 623, 6011, 1083, 623, 26588, 528, 4291, 24582, 2148, 8224, 7412, 27661, 573, 11690, 49115, 607, 18790, 11139, 532, 11893, 31632, 4652, 236761, 14066, 39252, 506, 2460, 1913, 5453, 236772, 1496, 3885, 573, 12567, 3439, 1781, 236783, 106, 107, 105, 4368, 107, 818, 7606, 573, 4291, 24582, 2148, 8224, 5724, 1822, 236888, 236743, 244746, 138, 107, 236772, 5213, 79287, 568, 236819, 236787, 236771, 236771, 8151, 1473, 1018, 236743, 236810, 236812, 236761, 236770, 237366, 236811, 236764, 17635, 138, 107, 236772, 5213, 41210, 1496, 568, 236770, 236778, 236787, 236771, 236771, 8711, 1473, 1018, 236743, 236810, 236828, 236761, 236832, 237366, 236811, 236764, 22043, 35898, 138, 107, 236772, 5213, 6259, 11663, 568, 236800, 236787, 236771, 236771, 8711, 1473, 1018, 236743, 236810, 236819, 236761, 236810, 237366, 236811, 236764, 3582, 55748, 138, 107, 236772, 5213, 164334, 568, 236825, 236787, 236771, 236771, 8711, 1473, 1018, 236743, 236810, 236825, 236761, 236819, 237366, 236811, 236764, 2321, 14958, 138, 108, 1018, 24355, 53121, 138, 107, 3771, 6927, 532, 11139, 21236, 2787, 236743, 236810, 236771, 237366, 236811, 784, 1719, 236888, 669, 7606, 2509, 37414, 5453, 236772, 1496, 3885, 568, 236770, 236778, 236787, 236771, 236771, 8711, 236964, 236800, 236787, 236771, 236771, 8711, 236768, 573, 12567, 3439, 236761, 1599, 236858, 500, 1535, 531, 7162, 607, 822, 11690, 49115, 2460, 2148, 8224, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 2426, 506, 2269, 8224, 618, 496, 21609, 3433, 573, 3402, 6995, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 861, 42527, 2460, 26614, 1610, 532, 14049, 236761, 5315, 236764, 564, 1202, 45855, 12657, 1003, 1610, 532, 14049, 236761, 6890, 974, 236779, 52231, 236779, 2003, 236779, 56036, 573, 1800, 41303, 236761, 4298, 236764, 2426, 506, 58024, 4981, 529, 1239, 12657, 573, 6635, 1161, 607, 506, 58024, 5904, 236761, 6542, 236764, 564, 1202, 531, 9279, 506, 63404, 22521, 573, 496, 6831, 4188, 236793, 1161, 9279, 236779, 182461, 236779, 720, 873, 607, 1041, 4889, 236787, 8937, 236764, 236743, 236800, 236771, 236764, 236743, 236770, 236828, 236771, 16931, 236764, 236743, 236810, 236789, 236770, 236771, 827, 51641, 5158, 236764, 5671, 563, 9626, 236761, 1637, 1027, 5904, 20269, 236764, 6060, 625, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52231, 1083, 78493, 1005, 1083, 623, 13111, 8325, 691, 1171, 614, 49411, 10498, 623, 6386, 1083, 623, 142492, 185568, 74574, 827, 623, 56036, 1083, 623, 661, 23179, 3714, 1005, 1083, 623, 818, 42289, 815, 506, 33365, 528, 914, 3666, 532, 4916, 10498, 623, 6386, 1083, 623, 188118, 1776, 101654, 827, 623, 56036, 1083, 623, 661, 25938, 1604, 623, 4375, 1083, 623, 85532, 52236, 236743, 236778, 12657, 573, 18355, 236787, 1610, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 52231, 1083, 78493, 1005, 1083, 623, 117635, 563, 1133, 2765, 236793, 625, 1374, 577, 10708, 1131, 607, 14005, 653, 711, 657, 784, 10498, 623, 6386, 1083, 623, 22945, 61451, 11800, 171707, 23179, 3714, 1005, 1083, 623, 818, 1186, 3210, 564, 1133, 2480, 1082, 14049, 563, 11293, 10498, 623, 6386, 1083, 623, 111202, 19035, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 32320, 236779, 182461, 236779, 720, 873, 1083, 236743, 236778, 236810, 236771, 236771, 236764, 623, 12919, 1863, 183618, 236779, 52447, 1083, 3714, 4554, 33229, 14473, 236779, 79707, 1083, 236743, 236778, 236810, 236771, 236764, 623, 56874, 236779, 79707, 1083, 236743, 236770, 236828, 236828, 236764, 623, 34246, 236779, 79707, 1083, 236743, 236828, 236800, 1263, 623, 4375, 1083, 623, 11069, 10325, 6376, 22521, 563, 236743, 236778, 236810, 236771, 236771, 29304, 531, 4883, 822, 1873, 3825, 236761, 98861, 183618, 5296, 236787, 236743, 236812, 236771, 236908, 77327, 568, 236778, 236810, 236771, 236759, 779, 236743, 236800, 236771, 236908, 6762, 568, 236770, 236828, 236828, 236759, 779, 236743, 236800, 236771, 236908, 6477, 568, 236828, 236800, 236759, 769, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 2788, 827, 623, 13308, 1083, 3714, 2364, 236779, 547, 1083, 623, 194092, 236779, 20791, 236779, 1735, 827, 623, 1582, 236779, 547, 1083, 623, 194092, 236779, 9167, 236779, 1735, 827, 623, 2788, 236779, 1708, 236779, 62473, 236779, 1930, 1083, 1847, 236764, 623, 4730, 236779, 48064, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236778, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 53880, 1938, 573, 822, 42527, 2460, 236787, 108, 1018, 902, 112929, 52083, 568, 74253, 6890, 44096, 1473, 1018, 107, 245838, 808, 9175, 52083, 149681, 107, 236770, 236761, 623, 13111, 8325, 691, 1171, 614, 49411, 1781, 753, 41386, 185568, 74574, 107, 236778, 236761, 623, 818, 42289, 815, 506, 33365, 528, 914, 3666, 532, 4916, 1781, 753, 55463, 1776, 101654, 108, 243767, 246410, 808, 117635, 52083, 149681, 107, 236770, 236761, 623, 117635, 563, 1133, 2765, 236793, 625, 1374, 577, 10708, 1131, 607, 14005, 653, 711, 657, 784, 1781, 753, 119339, 11800, 171707, 107, 236778, 236761, 623, 818, 1186, 3210, 564, 1133, 2480, 1082, 14049, 563, 11293, 1781, 753, 40374, 19035, 108, 1018, 5403, 22113, 23614, 53121, 107, 2542, 496, 51641, 5158, 8937, 568, 236800, 236771, 9671, 236764, 236743, 236810, 236789, 236770, 236771, 827, 236743, 236770, 236828, 236771, 56301, 236768, 16977, 3825, 236787, 107, 236772, 58731, 6376, 22521, 236787, 236743, 236778, 236810, 236771, 236771, 29304, 107, 236772, 98861, 183618, 25890, 236787, 107, 138, 236772, 191286, 14473, 236787, 236743, 236778, 236810, 236771, 236759, 568, 236812, 236771, 11376, 107, 138, 236772, 41164, 236787, 236743, 236770, 236828, 236828, 236759, 568, 236800, 236771, 11376, 107, 138, 236772, 30593, 236787, 236743, 236828, 236800, 236759, 568, 236800, 236771, 11376, 108, 3243, 12657, 735, 1010, 27662, 573, 6635, 1161, 58024, 1343, 506, 1448, 500, 9299, 532, 659, 4341, 3097, 6384, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 21284, 611, 1133, 531, 11327, 4767, 12657, 653, 1202, 1601, 607, 1027, 1032, 6084, 529, 822, 2460, 6995, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 861, 42527, 2460, 26614, 1610, 532, 14049, 236761, 5315, 236764, 564, 1202, 45855, 12657, 1003, 1610, 532, 14049, 236761, 6890, 974, 236779, 52231, 236779, 2003, 236779, 56036, 573, 1800, 41303, 236761, 4298, 236764, 2426, 506, 58024, 4981, 529, 1239, 12657, 573, 6635, 1161, 607, 506, 58024, 5904, 236761, 6542, 236764, 564, 1202, 531, 9279, 506, 63404, 22521, 573, 496, 6831, 4188, 236793, 1161, 9279, 236779, 182461, 236779, 720, 873, 607, 1041, 4889, 236787, 8937, 236764, 236743, 236800, 236771, 236764, 236743, 236770, 236828, 236771, 16931, 236764, 236743, 236810, 236789, 236770, 236771, 827, 51641, 5158, 236764, 5671, 563, 9626, 236761, 1637, 1027, 5904, 20269, 236764, 6060, 625, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52231, 1083, 78493, 1005, 1083, 623, 13111, 8325, 691, 1171, 614, 49411, 10498, 623, 6386, 1083, 623, 142492, 185568, 74574, 827, 623, 56036, 1083, 623, 661, 23179, 3714, 1005, 1083, 623, 818, 42289, 815, 506, 33365, 528, 914, 3666, 532, 4916, 10498, 623, 6386, 1083, 623, 188118, 1776, 101654, 827, 623, 56036, 1083, 623, 661, 25938, 1604, 623, 4375, 1083, 623, 85532, 52236, 236743, 236778, 12657, 573, 18355, 236787, 1610, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 52231, 1083, 78493, 1005, 1083, 623, 117635, 563, 1133, 2765, 236793, 625, 1374, 577, 10708, 1131, 607, 14005, 653, 711, 657, 784, 10498, 623, 6386, 1083, 623, 22945, 61451, 11800, 171707, 23179, 3714, 1005, 1083, 623, 818, 1186, 3210, 564, 1133, 2480, 1082, 14049, 563, 11293, 10498, 623, 6386, 1083, 623, 111202, 19035, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 32320, 236779, 182461, 236779, 720, 873, 1083, 236743, 236778, 236810, 236771, 236771, 236764, 623, 12919, 1863, 183618, 236779, 52447, 1083, 3714, 4554, 33229, 14473, 236779, 79707, 1083, 236743, 236778, 236810, 236771, 236764, 623, 56874, 236779, 79707, 1083, 236743, 236770, 236828, 236828, 236764, 623, 34246, 236779, 79707, 1083, 236743, 236828, 236800, 1263, 623, 4375, 1083, 623, 11069, 10325, 6376, 22521, 563, 236743, 236778, 236810, 236771, 236771, 29304, 531, 4883, 822, 1873, 3825, 236761, 98861, 183618, 5296, 236787, 236743, 236812, 236771, 236908, 77327, 568, 236778, 236810, 236771, 236759, 779, 236743, 236800, 236771, 236908, 6762, 568, 236770, 236828, 236828, 236759, 779, 236743, 236800, 236771, 236908, 6477, 568, 236828, 236800, 236759, 769, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 2788, 827, 623, 13308, 1083, 3714, 2364, 236779, 547, 1083, 623, 194092, 236779, 20791, 236779, 1735, 827, 623, 1582, 236779, 547, 1083, 623, 194092, 236779, 9167, 236779, 1735, 827, 623, 2788, 236779, 1708, 236779, 62473, 236779, 1930, 1083, 1847, 236764, 623, 4730, 236779, 48064, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236778, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 53880, 1938, 573, 822, 42527, 2460, 236787, 108, 1018, 902, 112929, 52083, 568, 74253, 6890, 44096, 1473, 1018, 107, 245838, 808, 9175, 52083, 149681, 107, 236770, 236761, 623, 13111, 8325, 691, 1171, 614, 49411, 1781, 753, 41386, 185568, 74574, 107, 236778, 236761, 623, 818, 42289, 815, 506, 33365, 528, 914, 3666, 532, 4916, 1781, 753, 55463, 1776, 101654, 108, 243767, 246410, 808, 117635, 52083, 149681, 107, 236770, 236761, 623, 117635, 563, 1133, 2765, 236793, 625, 1374, 577, 10708, 1131, 607, 14005, 653, 711, 657, 784, 1781, 753, 119339, 11800, 171707, 107, 236778, 236761, 623, 818, 1186, 3210, 564, 1133, 2480, 1082, 14049, 563, 11293, 1781, 753, 40374, 19035, 108, 1018, 5403, 22113, 23614, 53121, 107, 2542, 496, 51641, 5158, 8937, 568, 236800, 236771, 9671, 236764, 236743, 236810, 236789, 236770, 236771, 827, 236743, 236770, 236828, 236771, 56301, 236768, 16977, 3825, 236787, 107, 236772, 58731, 6376, 22521, 236787, 236743, 236778, 236810, 236771, 236771, 29304, 107, 236772, 98861, 183618, 25890, 236787, 107, 138, 236772, 191286, 14473, 236787, 236743, 236778, 236810, 236771, 236759, 568, 236812, 236771, 11376, 107, 138, 236772, 41164, 236787, 236743, 236770, 236828, 236828, 236759, 568, 236800, 236771, 11376, 107, 138, 236772, 30593, 236787, 236743, 236828, 236800, 236759, 568, 236800, 236771, 11376, 108, 3243, 12657, 735, 1010, 27662, 573, 6635, 1161, 58024, 1343, 506, 1448, 500, 9299, 532, 659, 4341, 3097, 6384, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 21284, 611, 1133, 531, 11327, 4767, 12657, 653, 1202, 1601, 607, 1027, 1032, 6084, 529, 822, 2460, 6995, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 1041, 13611, 100839, 4957, 2354, 573, 1041, 3988, 236761, 564, 236789, 236757, 17373, 531, 5510, 573, 496, 60206, 6987, 2939, 236764, 532, 564, 1461, 531, 5330, 1546, 4957, 3336, 563, 9668, 95167, 236761, 564, 236789, 859, 2847, 506, 2587, 1816, 607, 10458, 11373, 684, 623, 1408, 236775, 618, 496, 77567, 236761, 3199, 611, 1161, 506, 1699, 236779, 2337, 236779, 19031, 5904, 531, 9918, 672, 2354, 1131, 20875, 1208, 236743, 236810, 236771, 236771, 21739, 1546, 1651, 39983, 3336, 17661, 236881, 5715, 236789, 236751, 506, 1816, 236787, 870, 9397, 42288, 4957, 2354, 1816, 7906, 5065, 623, 1408, 236775, 3336, 18907, 1590, 1619, 3792, 786, 1281, 768, 611, 1202, 1027, 30981, 531, 506, 77567, 653, 2425, 6137, 236761, 106, 107, 105, 4368, 107, 236777, 740, 1601, 9918, 822, 4957, 2354, 1131, 20875, 1651, 39983, 506, 623, 1408, 236775, 3336, 18907, 236761, 7323, 2847, 506, 2587, 1816, 529, 822, 100839, 4957, 2354, 236764, 532, 564, 236789, 859, 1161, 506, 5904, 607, 506, 2269, 6137, 236787, 77567, 1076, 531, 623, 1408, 827, 2631, 236779, 2086, 529, 236743, 236810, 236771, 236771, 21739, 236764, 532, 3204, 236779, 6320, 847, 1076, 531, 2416, 568, 63221, 611, 2414, 118364, 15936, 2101, 822, 3336, 18907, 769, 9920, 564, 5908, 822, 2354, 1816, 236764, 564, 236789, 859, 1657, 625, 23577, 236761, 106, 107, 105, 2364, 107, 236840, 170827, 236789, 236751, 100839, 4957, 2354, 1816, 7906, 5065, 623, 1408, 236775, 3336, 18907, 236764, 2440, 840, 711, 5809, 531, 236787, 11722, 19924, 236779, 624, 236779, 61569, 236779, 55305, 24623, 236764, 11722, 18674, 236779, 80684, 236779, 176478, 236764, 11722, 15413, 74582, 236779, 25173, 236764, 11722, 39986, 236779, 51692, 236779, 1489, 55516, 236764, 11722, 94209, 236779, 143261, 1788, 236779, 107089, 236842, 5715, 236789, 236751, 1041, 4133, 4957, 2354, 1816, 607, 3336, 18907, 11373, 684, 623, 1408, 3056, 7323, 1657, 672, 1699, 506, 1699, 236779, 2337, 236779, 19031, 5904, 607, 77567, 623, 1408, 827, 2631, 236779, 2086, 236743, 236810, 236771, 236771, 21739, 236764, 532, 3204, 236779, 6320, 847, 2416, 618, 8397, 236761, 564, 236789, 859, 1202, 1239, 20875, 9668, 45047, 573, 26754, 607, 1041, 60206, 6987, 3739, 5417, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 75615, 1083, 78493, 31114, 236779, 547, 1083, 623, 236770, 827, 623, 5653, 1083, 623, 19924, 236779, 624, 236779, 61569, 236779, 55305, 24623, 827, 623, 3955, 1083, 28286, 26286, 3004, 58237, 2404, 115684, 236764, 69426, 28463, 236764, 4698, 4122, 236764, 532, 14143, 8073, 236842, 23179, 3714, 31114, 236779, 547, 1083, 623, 236778, 827, 623, 5653, 1083, 623, 18674, 236779, 80684, 236779, 176478, 827, 623, 3955, 1083, 28286, 3955, 14086, 7283, 13199, 236764, 11996, 38059, 236764, 3724, 236772, 28734, 36295, 236764, 532, 13049, 11211, 236842, 23179, 3714, 31114, 236779, 547, 1083, 623, 236800, 827, 623, 5653, 1083, 623, 15413, 74582, 236779, 25173, 827, 623, 3955, 1083, 28286, 3955, 22454, 12524, 19548, 236764, 3911, 236772, 33562, 5085, 236764, 32775, 71884, 236764, 532, 10834, 4615, 236842, 23179, 3714, 31114, 236779, 547, 1083, 623, 236812, 827, 623, 5653, 1083, 623, 39986, 236779, 51692, 236779, 1489, 55516, 827, 623, 3955, 1083, 28286, 3955, 93616, 4122, 6607, 236764, 3736, 47424, 236764, 5707, 2913, 7760, 236764, 532, 5646, 83073, 236842, 23179, 3714, 31114, 236779, 547, 1083, 623, 236810, 827, 623, 5653, 1083, 623, 94209, 236779, 143261, 1788, 236779, 107089, 827, 623, 3955, 1083, 28286, 3955, 2440, 71539, 11091, 236764, 3662, 28463, 236764, 1171, 11278, 15830, 236764, 532, 21837, 3072, 75255, 236842, 25938, 1604, 623, 6725, 236779, 75615, 1083, 236743, 236810, 236764, 623, 23046, 236779, 4818, 1083, 623, 40812, 827, 623, 119664, 236779, 3456, 1083, 623, 1408, 25938, 106, 107, 105, 4368, 107, 11069, 100839, 4957, 2354, 815, 1010, 10428, 18761, 532, 95167, 3894, 531, 822, 23003, 236761, 5715, 236789, 236751, 506, 13957, 3938, 236787, 108, 1018, 36276, 524, 12329, 21685, 53121, 107, 236770, 236761, 5213, 19924, 833, 16661, 184790, 1018, 138, 107, 139, 236840, 20884, 3004, 58237, 2404, 115684, 236764, 69426, 28463, 236764, 4698, 4122, 236764, 532, 14143, 8073, 236842, 108, 236778, 236761, 5213, 18674, 30021, 54442, 1018, 138, 107, 139, 236840, 4795, 14086, 7283, 13199, 236764, 11996, 38059, 236764, 3724, 236772, 28734, 36295, 236764, 532, 13049, 11211, 236842, 108, 236800, 236761, 5213, 15413, 74582, 36376, 1018, 138, 107, 139, 236840, 4795, 22454, 12524, 19548, 236764, 3911, 236772, 33562, 5085, 236764, 32775, 71884, 236764, 532, 10834, 4615, 236842, 108, 236812, 236761, 5213, 39986, 8236, 70153, 1018, 138, 107, 139, 236840, 4795, 93616, 4122, 6607, 236764, 3736, 47424, 236764, 5707, 2913, 7760, 236764, 532, 5646, 83073, 236842, 108, 236810, 236761, 5213, 94209, 86950, 1788, 48139, 1018, 138, 107, 139, 236840, 4795, 2440, 71539, 11091, 236764, 3662, 28463, 236764, 1171, 11278, 15830, 236764, 532, 21837, 3072, 75255, 236842, 108, 1018, 52200, 25252, 53121, 138, 107, 236772, 12613, 20875, 236787, 236743, 236810, 138, 107, 236772, 7106, 40773, 1456, 236787, 2165, 1408, 236929, 138, 107, 236772, 8645, 2425, 4576, 236787, 236743, 236810, 236771, 236771, 21739, 568, 78662, 14038, 236768, 138, 107, 236772, 7371, 18907, 27750, 32990, 138, 108, 38786, 611, 1133, 786, 531, 59638, 1027, 3530, 9951, 568, 236744, 236761, 236759, 1126, 6253, 53892, 236764, 15676, 3004, 236764, 653, 1138, 18907, 20625, 3143, 20875, 659, 5508, 573, 20773, 528, 822, 60206, 6987, 3739, 5417, 236761, 106, 107, 105, 2364, 107, 818, 20875, 1385, 1388, 236772, 64495, 236764, 840, 564, 236789, 236753, 1133, 531, 59638, 506, 5213, 15413, 74582, 36376, 1018, 3336, 531, 37837, 1041, 2707, 607, 94415, 4993, 236761, 28344, 611, 544, 6449, 1186, 600, 9951, 1699, 506, 1638, 6137, 568, 119664, 623, 1408, 827, 2631, 236779, 2086, 236743, 236810, 236771, 236771, 21739, 236768, 840, 3204, 4767, 4889, 1003, 1041, 14361, 5192, 6130, 532, 1217, 901, 14051, 9226, 185782, 528, 16183, 6995, 236881, 1174, 1093, 13878, 1041, 3739, 684, 41671, 1041, 5596, 531, 1894, 12801, 7965, 236761, 106, 107, 105, 4368, 107, 236777, 3050, 822, 5671, 531, 13878, 672, 3336, 236761, 3153, 236764, 506, 2165, 3091, 236779, 2337, 236779, 19031, 236929, 5904, 1186, 19171, 1816, 51761, 236764, 711, 3004, 20105, 236761, 5612, 692, 1202, 531, 1138, 861, 4889, 1003, 822, 14361, 5192, 6130, 532, 9226, 185782, 236764, 564, 236789, 859, 1202, 531, 24473, 59638, 672, 9951, 573, 611, 236761, 236743, 108, 8291, 236858, 236751, 506, 10448, 5213, 15413, 74582, 36376, 1018, 3336, 568, 40016, 1208, 236743, 236810, 236771, 236771, 21739, 1473, 138, 108, 7243, 108, 1408, 15413, 74582, 236779, 25173, 138, 107, 236840, 4795, 22454, 12524, 19548, 236764, 3911, 236772, 33562, 5085, 236764, 32775, 71884, 236764, 532, 10834, 4615, 236764, 607, 3742, 20622, 580, 236787, 138, 107, 236772, 43645, 529, 14361, 5192, 14787, 1131, 6376, 5085, 568, 236744, 236761, 236759, 1126, 97460, 3925, 2289, 236764, 9226, 42927, 236768, 138, 107, 236772, 7803, 529, 71636, 30415, 16183, 6614, 32427, 12801, 2523, 25168, 138, 107, 236772, 67653, 607, 132567, 7965, 531, 1028, 236772, 3663, 23722, 4735, 9871, 138, 107, 236772, 6890, 529, 14361, 73666, 531, 2016, 5210, 532, 7283, 607, 58462, 7965, 236842, 138, 108, 7243, 108, 38786, 611, 1133, 531, 1138, 3530, 8698, 529, 94415, 19898, 611, 236858, 560, 5378, 236881, 564, 740, 3342, 49523, 672, 3336, 531, 8913, 607, 822, 3739, 236858, 236751, 3213, 4106, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 1041, 13611, 100839, 4957, 2354, 573, 1041, 3988, 236761, 564, 236789, 236757, 17373, 531, 5510, 573, 496, 60206, 6987, 2939, 236764, 532, 564, 1461, 531, 5330, 1546, 4957, 3336, 563, 9668, 95167, 236761, 564, 236789, 859, 2847, 506, 2587, 1816, 607, 10458, 11373, 684, 623, 1408, 236775, 618, 496, 77567, 236761, 3199, 611, 1161, 506, 1699, 236779, 2337, 236779, 19031, 5904, 531, 9918, 672, 2354, 1131, 20875, 1208, 236743, 236810, 236771, 236771, 21739, 1546, 1651, 39983, 3336, 17661, 236881, 5715, 236789, 236751, 506, 1816, 236787, 870, 9397, 42288, 4957, 2354, 1816, 7906, 5065, 623, 1408, 236775, 3336, 18907, 1590, 1619, 3792, 786, 1281, 768, 611, 1202, 1027, 30981, 531, 506, 77567, 653, 2425, 6137, 236761, 106, 107, 105, 4368, 107, 236777, 740, 1601, 9918, 822, 4957, 2354, 1131, 20875, 1651, 39983, 506, 623, 1408, 236775, 3336, 18907, 236761, 7323, 2847, 506, 2587, 1816, 529, 822, 100839, 4957, 2354, 236764, 532, 564, 236789, 859, 1161, 506, 5904, 607, 506, 2269, 6137, 236787, 77567, 1076, 531, 623, 1408, 827, 2631, 236779, 2086, 529, 236743, 236810, 236771, 236771, 21739, 236764, 532, 3204, 236779, 6320, 847, 1076, 531, 2416, 568, 63221, 611, 2414, 118364, 15936, 2101, 822, 3336, 18907, 769, 9920, 564, 5908, 822, 2354, 1816, 236764, 564, 236789, 859, 1657, 625, 23577, 236761, 106, 107, 105, 2364, 107, 236840, 170827, 236789, 236751, 100839, 4957, 2354, 1816, 7906, 5065, 623, 1408, 236775, 3336, 18907, 236764, 2440, 840, 711, 5809, 531, 236787, 11722, 19924, 236779, 624, 236779, 61569, 236779, 55305, 24623, 236764, 11722, 18674, 236779, 80684, 236779, 176478, 236764, 11722, 15413, 74582, 236779, 25173, 236764, 11722, 39986, 236779, 51692, 236779, 1489, 55516, 236764, 11722, 94209, 236779, 143261, 1788, 236779, 107089, 236842, 5715, 236789, 236751, 1041, 4133, 4957, 2354, 1816, 607, 3336, 18907, 11373, 684, 623, 1408, 3056, 7323, 1657, 672, 1699, 506, 1699, 236779, 2337, 236779, 19031, 5904, 607, 77567, 623, 1408, 827, 2631, 236779, 2086, 236743, 236810, 236771, 236771, 21739, 236764, 532, 3204, 236779, 6320, 847, 2416, 618, 8397, 236761, 564, 236789, 859, 1202, 1239, 20875, 9668, 45047, 573, 26754, 607, 1041, 60206, 6987, 3739, 5417, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 75615, 1083, 78493, 31114, 236779, 547, 1083, 623, 236770, 827, 623, 5653, 1083, 623, 19924, 236779, 624, 236779, 61569, 236779, 55305, 24623, 827, 623, 3955, 1083, 28286, 26286, 3004, 58237, 2404, 115684, 236764, 69426, 28463, 236764, 4698, 4122, 236764, 532, 14143, 8073, 236842, 23179, 3714, 31114, 236779, 547, 1083, 623, 236778, 827, 623, 5653, 1083, 623, 18674, 236779, 80684, 236779, 176478, 827, 623, 3955, 1083, 28286, 3955, 14086, 7283, 13199, 236764, 11996, 38059, 236764, 3724, 236772, 28734, 36295, 236764, 532, 13049, 11211, 236842, 23179, 3714, 31114, 236779, 547, 1083, 623, 236800, 827, 623, 5653, 1083, 623, 15413, 74582, 236779, 25173, 827, 623, 3955, 1083, 28286, 3955, 22454, 12524, 19548, 236764, 3911, 236772, 33562, 5085, 236764, 32775, 71884, 236764, 532, 10834, 4615, 236842, 23179, 3714, 31114, 236779, 547, 1083, 623, 236812, 827, 623, 5653, 1083, 623, 39986, 236779, 51692, 236779, 1489, 55516, 827, 623, 3955, 1083, 28286, 3955, 93616, 4122, 6607, 236764, 3736, 47424, 236764, 5707, 2913, 7760, 236764, 532, 5646, 83073, 236842, 23179, 3714, 31114, 236779, 547, 1083, 623, 236810, 827, 623, 5653, 1083, 623, 94209, 236779, 143261, 1788, 236779, 107089, 827, 623, 3955, 1083, 28286, 3955, 2440, 71539, 11091, 236764, 3662, 28463, 236764, 1171, 11278, 15830, 236764, 532, 21837, 3072, 75255, 236842, 25938, 1604, 623, 6725, 236779, 75615, 1083, 236743, 236810, 236764, 623, 23046, 236779, 4818, 1083, 623, 40812, 827, 623, 119664, 236779, 3456, 1083, 623, 1408, 25938, 106, 107, 105, 4368, 107, 11069, 100839, 4957, 2354, 815, 1010, 10428, 18761, 532, 95167, 3894, 531, 822, 23003, 236761, 5715, 236789, 236751, 506, 13957, 3938, 236787, 108, 1018, 36276, 524, 12329, 21685, 53121, 107, 236770, 236761, 5213, 19924, 833, 16661, 184790, 1018, 138, 107, 139, 236840, 20884, 3004, 58237, 2404, 115684, 236764, 69426, 28463, 236764, 4698, 4122, 236764, 532, 14143, 8073, 236842, 108, 236778, 236761, 5213, 18674, 30021, 54442, 1018, 138, 107, 139, 236840, 4795, 14086, 7283, 13199, 236764, 11996, 38059, 236764, 3724, 236772, 28734, 36295, 236764, 532, 13049, 11211, 236842, 108, 236800, 236761, 5213, 15413, 74582, 36376, 1018, 138, 107, 139, 236840, 4795, 22454, 12524, 19548, 236764, 3911, 236772, 33562, 5085, 236764, 32775, 71884, 236764, 532, 10834, 4615, 236842, 108, 236812, 236761, 5213, 39986, 8236, 70153, 1018, 138, 107, 139, 236840, 4795, 93616, 4122, 6607, 236764, 3736, 47424, 236764, 5707, 2913, 7760, 236764, 532, 5646, 83073, 236842, 108, 236810, 236761, 5213, 94209, 86950, 1788, 48139, 1018, 138, 107, 139, 236840, 4795, 2440, 71539, 11091, 236764, 3662, 28463, 236764, 1171, 11278, 15830, 236764, 532, 21837, 3072, 75255, 236842, 108, 1018, 52200, 25252, 53121, 138, 107, 236772, 12613, 20875, 236787, 236743, 236810, 138, 107, 236772, 7106, 40773, 1456, 236787, 2165, 1408, 236929, 138, 107, 236772, 8645, 2425, 4576, 236787, 236743, 236810, 236771, 236771, 21739, 568, 78662, 14038, 236768, 138, 107, 236772, 7371, 18907, 27750, 32990, 138, 108, 38786, 611, 1133, 786, 531, 59638, 1027, 3530, 9951, 568, 236744, 236761, 236759, 1126, 6253, 53892, 236764, 15676, 3004, 236764, 653, 1138, 18907, 20625, 3143, 20875, 659, 5508, 573, 20773, 528, 822, 60206, 6987, 3739, 5417, 236761, 106, 107, 105, 2364, 107, 818, 20875, 1385, 1388, 236772, 64495, 236764, 840, 564, 236789, 236753, 1133, 531, 59638, 506, 5213, 15413, 74582, 36376, 1018, 3336, 531, 37837, 1041, 2707, 607, 94415, 4993, 236761, 28344, 611, 544, 6449, 1186, 600, 9951, 1699, 506, 1638, 6137, 568, 119664, 623, 1408, 827, 2631, 236779, 2086, 236743, 236810, 236771, 236771, 21739, 236768, 840, 3204, 4767, 4889, 1003, 1041, 14361, 5192, 6130, 532, 1217, 901, 14051, 9226, 185782, 528, 16183, 6995, 236881, 1174, 1093, 13878, 1041, 3739, 684, 41671, 1041, 5596, 531, 1894, 12801, 7965, 236761, 106, 107, 105, 4368, 107, 236777, 3050, 822, 5671, 531, 13878, 672, 3336, 236761, 3153, 236764, 506, 2165, 3091, 236779, 2337, 236779, 19031, 236929, 5904, 1186, 19171, 1816, 51761, 236764, 711, 3004, 20105, 236761, 5612, 692, 1202, 531, 1138, 861, 4889, 1003, 822, 14361, 5192, 6130, 532, 9226, 185782, 236764, 564, 236789, 859, 1202, 531, 24473, 59638, 672, 9951, 573, 611, 236761, 236743, 108, 8291, 236858, 236751, 506, 10448, 5213, 15413, 74582, 36376, 1018, 3336, 568, 40016, 1208, 236743, 236810, 236771, 236771, 21739, 1473, 138, 108, 7243, 108, 1408, 15413, 74582, 236779, 25173, 138, 107, 236840, 4795, 22454, 12524, 19548, 236764, 3911, 236772, 33562, 5085, 236764, 32775, 71884, 236764, 532, 10834, 4615, 236764, 607, 3742, 20622, 580, 236787, 138, 107, 236772, 43645, 529, 14361, 5192, 14787, 1131, 6376, 5085, 568, 236744, 236761, 236759, 1126, 97460, 3925, 2289, 236764, 9226, 42927, 236768, 138, 107, 236772, 7803, 529, 71636, 30415, 16183, 6614, 32427, 12801, 2523, 25168, 138, 107, 236772, 67653, 607, 132567, 7965, 531, 1028, 236772, 3663, 23722, 4735, 9871, 138, 107, 236772, 6890, 529, 14361, 73666, 531, 2016, 5210, 532, 7283, 607, 58462, 7965, 236842, 138, 108, 7243, 108, 38786, 611, 1133, 531, 1138, 3530, 8698, 529, 94415, 19898, 611, 236858, 560, 5378, 236881, 564, 740, 3342, 49523, 672, 3336, 531, 8913, 607, 822, 3739, 236858, 236751, 3213, 4106, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 4981, 529, 1041, 4803, 1900, 236761, 564, 735, 1041, 1900, 5853, 236764, 840, 564, 1202, 531, 2212, 528, 1171, 236761, 3551, 15345, 563, 756, 134852, 236798, 3035, 8225, 236789, 532, 8918, 563, 756, 3070, 38942, 236770, 236778, 236800, 6748, 3199, 611, 1601, 786, 2802, 1041, 2881, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8494, 236779, 1114, 1083, 623, 28180, 236770, 236778, 236800, 56660, 236832, 236828, 236819, 827, 623, 4818, 1083, 623, 126633, 827, 623, 2364, 236779, 547, 1083, 623, 134852, 236798, 3035, 8225, 25938, 106, 107, 105, 4368, 107, 3048, 236789, 560, 1010, 10428, 32575, 528, 607, 15345, 756, 134852, 236798, 3035, 8225, 6748, 2282, 2426, 822, 1900, 4981, 236764, 5091, 2847, 506, 40155, 1900, 5853, 568, 19195, 236743, 236770, 532, 236743, 236770, 236771, 236768, 573, 822, 4803, 1900, 236761, 106, 107, 105, 2364, 107, 4754, 1900, 5853, 563, 236743, 236832, 236761, 28344, 611, 33205, 506, 4889, 573, 600, 1900, 236881, 564, 236789, 236757, 18430, 531, 2426, 768, 506, 4188, 753, 496, 2803, 12301, 2260, 573, 1041, 60898, 236789, 236751, 12089, 753, 815, 1010, 18761, 3819, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 236743, 236832, 236764, 623, 4818, 1083, 623, 47382, 827, 623, 1582, 1083, 623, 23244, 19767, 7167, 827, 623, 22111, 1083, 236743, 236770, 236764, 623, 14210, 1083, 623, 9067, 815, 1010, 10428, 18761, 532, 29446, 1781, 236783, 106, 107, 105, 4368, 107, 11069, 1900, 997, 236832, 573, 506, 10624, 19767, 7167, 815, 1010, 10428, 18761, 532, 29446, 236888, 236743, 246727, 669, 4188, 563, 580, 1061, 1595, 531, 611, 236761, 236743, 108, 10081, 672, 563, 573, 822, 60898, 236789, 236751, 12089, 236764, 564, 4614, 625, 36522, 528, 990, 531, 1386, 914, 1719, 4481, 2803, 236888, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 4658, 1663, 236761, 204906, 106, 107, 105, 2364, 107, 14782, 611, 573, 16329, 580, 506, 2260, 1900, 1271, 564, 236858, 236757, 834, 48040, 625, 236858, 236751, 580, 1061, 1595, 236888, 4224, 600, 564, 236858, 560, 10778, 600, 236764, 1451, 611, 1601, 786, 2426, 506, 18241, 4981, 573, 506, 4493, 6457, 236881, 564, 236858, 236753, 2765, 531, 1460, 1144, 236858, 236751, 2487, 1680, 6995, 1041, 2148, 3517, 236761, 564, 236858, 560, 1010, 6590, 531, 4351, 872, 496, 2321, 32761, 573, 1041, 9171, 236858, 236751, 13935, 102202, 236764, 1015, 236858, 236751, 1010, 1288, 496, 1535, 7932, 1913, 1041, 7972, 63563, 236751, 236761, 236743, 245318, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 46589, 1083, 3714, 98505, 236779, 89580, 236751, 1083, 236743, 236812, 236778, 236764, 623, 123458, 236779, 59539, 236779, 97297, 1083, 236743, 236778, 236828, 236764, 623, 236751, 1249, 32873, 236779, 191966, 1083, 236743, 236770, 236810, 236764, 623, 12886, 96781, 236779, 10780, 5629, 1083, 236743, 236819, 236764, 623, 1179, 38400, 236779, 142637, 1083, 236743, 236810, 1263, 623, 4375, 1083, 623, 8291, 236789, 236751, 1023, 1873, 4493, 6457, 18241, 236888, 56549, 1133, 692, 735, 11766, 529, 32761, 532, 23307, 2487, 236761, 669, 13935, 102202, 795, 4285, 2765, 1023, 47587, 11018, 26832, 532, 25452, 32873, 23307, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 4493, 6457, 18241, 4981, 236743, 245318, 236787, 138, 107, 236772, 42949, 32761, 236787, 236743, 236812, 236778, 528, 2862, 138, 107, 236772, 138289, 11018, 26832, 236787, 236743, 236778, 236828, 2487, 138, 107, 236772, 555, 1249, 32873, 23307, 236787, 236743, 236770, 236810, 5508, 531, 817, 138, 107, 236772, 12500, 96781, 52912, 236787, 236743, 236819, 2378, 138, 107, 236772, 127716, 34332, 236787, 236743, 236810, 9866, 138, 108, 11947, 4668, 236888, 2085, 659, 11766, 529, 32761, 532, 23307, 2487, 573, 822, 9171, 236789, 236751, 13935, 102202, 236761, 669, 47587, 11018, 26832, 532, 25452, 32873, 23307, 1093, 1386, 4011, 31069, 573, 496, 5293, 18106, 236761, 21284, 611, 1133, 786, 531, 2426, 4658, 3530, 1003, 1239, 4852, 1680, 822, 3517, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 4981, 529, 1041, 4803, 1900, 236761, 564, 735, 1041, 1900, 5853, 236764, 840, 564, 1202, 531, 2212, 528, 1171, 236761, 3551, 15345, 563, 756, 134852, 236798, 3035, 8225, 236789, 532, 8918, 563, 756, 3070, 38942, 236770, 236778, 236800, 6748, 3199, 611, 1601, 786, 2802, 1041, 2881, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8494, 236779, 1114, 1083, 623, 28180, 236770, 236778, 236800, 56660, 236832, 236828, 236819, 827, 623, 4818, 1083, 623, 126633, 827, 623, 2364, 236779, 547, 1083, 623, 134852, 236798, 3035, 8225, 25938, 106, 107, 105, 4368, 107, 3048, 236789, 560, 1010, 10428, 32575, 528, 607, 15345, 756, 134852, 236798, 3035, 8225, 6748, 2282, 2426, 822, 1900, 4981, 236764, 5091, 2847, 506, 40155, 1900, 5853, 568, 19195, 236743, 236770, 532, 236743, 236770, 236771, 236768, 573, 822, 4803, 1900, 236761, 106, 107, 105, 2364, 107, 4754, 1900, 5853, 563, 236743, 236832, 236761, 28344, 611, 33205, 506, 4889, 573, 600, 1900, 236881, 564, 236789, 236757, 18430, 531, 2426, 768, 506, 4188, 753, 496, 2803, 12301, 2260, 573, 1041, 60898, 236789, 236751, 12089, 753, 815, 1010, 18761, 3819, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2400, 236779, 547, 1083, 236743, 236832, 236764, 623, 4818, 1083, 623, 47382, 827, 623, 1582, 1083, 623, 23244, 19767, 7167, 827, 623, 22111, 1083, 236743, 236770, 236764, 623, 14210, 1083, 623, 9067, 815, 1010, 10428, 18761, 532, 29446, 1781, 236783, 106, 107, 105, 4368, 107, 11069, 1900, 997, 236832, 573, 506, 10624, 19767, 7167, 815, 1010, 10428, 18761, 532, 29446, 236888, 236743, 246727, 669, 4188, 563, 580, 1061, 1595, 531, 611, 236761, 236743, 108, 10081, 672, 563, 573, 822, 60898, 236789, 236751, 12089, 236764, 564, 4614, 625, 36522, 528, 990, 531, 1386, 914, 1719, 4481, 2803, 236888, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 4658, 1663, 236761, 204906, 106, 107, 105, 2364, 107, 14782, 611, 573, 16329, 580, 506, 2260, 1900, 1271, 564, 236858, 236757, 834, 48040, 625, 236858, 236751, 580, 1061, 1595, 236888, 4224, 600, 564, 236858, 560, 10778, 600, 236764, 1451, 611, 1601, 786, 2426, 506, 18241, 4981, 573, 506, 4493, 6457, 236881, 564, 236858, 236753, 2765, 531, 1460, 1144, 236858, 236751, 2487, 1680, 6995, 1041, 2148, 3517, 236761, 564, 236858, 560, 1010, 6590, 531, 4351, 872, 496, 2321, 32761, 573, 1041, 9171, 236858, 236751, 13935, 102202, 236764, 1015, 236858, 236751, 1010, 1288, 496, 1535, 7932, 1913, 1041, 7972, 63563, 236751, 236761, 236743, 245318, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 46589, 1083, 3714, 98505, 236779, 89580, 236751, 1083, 236743, 236812, 236778, 236764, 623, 123458, 236779, 59539, 236779, 97297, 1083, 236743, 236778, 236828, 236764, 623, 236751, 1249, 32873, 236779, 191966, 1083, 236743, 236770, 236810, 236764, 623, 12886, 96781, 236779, 10780, 5629, 1083, 236743, 236819, 236764, 623, 1179, 38400, 236779, 142637, 1083, 236743, 236810, 1263, 623, 4375, 1083, 623, 8291, 236789, 236751, 1023, 1873, 4493, 6457, 18241, 236888, 56549, 1133, 692, 735, 11766, 529, 32761, 532, 23307, 2487, 236761, 669, 13935, 102202, 795, 4285, 2765, 1023, 47587, 11018, 26832, 532, 25452, 32873, 23307, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 4493, 6457, 18241, 4981, 236743, 245318, 236787, 138, 107, 236772, 42949, 32761, 236787, 236743, 236812, 236778, 528, 2862, 138, 107, 236772, 138289, 11018, 26832, 236787, 236743, 236778, 236828, 2487, 138, 107, 236772, 555, 1249, 32873, 23307, 236787, 236743, 236770, 236810, 5508, 531, 817, 138, 107, 236772, 12500, 96781, 52912, 236787, 236743, 236819, 2378, 138, 107, 236772, 127716, 34332, 236787, 236743, 236810, 9866, 138, 108, 11947, 4668, 236888, 2085, 659, 11766, 529, 32761, 532, 23307, 2487, 573, 822, 9171, 236789, 236751, 13935, 102202, 236761, 669, 47587, 11018, 26832, 532, 25452, 32873, 23307, 1093, 1386, 4011, 31069, 573, 496, 5293, 18106, 236761, 21284, 611, 1133, 786, 531, 2426, 4658, 3530, 1003, 1239, 4852, 1680, 822, 3517, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2847, 506, 2634, 3325, 3546, 532, 51599, 7606, 12496, 573, 21038, 3124, 236881, 106, 107, 105, 4368, 107, 2021, 2847, 506, 7606, 1262, 573, 21038, 236764, 564, 1202, 506, 3530, 50550, 532, 40899, 15375, 529, 21038, 236761, 669, 2487, 5904, 6178, 1239, 15375, 531, 12270, 506, 1873, 7606, 1262, 236761, 28344, 611, 5091, 2847, 506, 11459, 50550, 532, 40899, 573, 21038, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2847, 506, 2634, 3325, 3546, 532, 51599, 7606, 12496, 573, 21038, 3124, 236881, 106, 107, 105, 4368, 107, 2021, 2847, 506, 7606, 1262, 573, 21038, 236764, 564, 1202, 506, 3530, 50550, 532, 40899, 15375, 529, 21038, 236761, 669, 2487, 5904, 6178, 1239, 15375, 531, 12270, 506, 1873, 7606, 1262, 236761, 28344, 611, 5091, 2847, 506, 11459, 50550, 532, 40899, 573, 21038, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 560, 1010, 6972, 1003, 7463, 6049, 1131, 496, 919, 8330, 3853, 528, 5431, 236764, 1133, 3997, 653, 1702, 236761, 3199, 611, 1601, 786, 5811, 855, 1144, 6555, 1331, 4781, 1769, 573, 600, 236881, 564, 5004, 993, 236789, 236751, 1070, 2712, 529, 756, 10619, 4137, 236789, 5904, 611, 740, 1161, 1271, 7463, 2426, 1144, 3496, 659, 10980, 1003, 6334, 3877, 528, 672, 2135, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15884, 1083, 623, 3910, 776, 564, 7140, 699, 5431, 3997, 531, 1702, 13616, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3689, 83073, 659, 1346, 12272, 573, 6334, 3877, 528, 5431, 3997, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3689, 8330, 6130, 659, 3149, 573, 5431, 1702, 3997, 13616, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3910, 740, 564, 2827, 1131, 496, 9550, 3997, 2939, 528, 5431, 2180, 496, 5802, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3689, 659, 506, 2307, 8798, 1534, 5431, 3997, 532, 31035, 1702, 31655, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3689, 3489, 12420, 1601, 607, 94367, 531, 8330, 13616, 528, 5431, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3910, 2132, 563, 2135, 2707, 573, 5431, 3997, 41383, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3689, 5368, 6436, 1374, 5431, 16810, 3449, 573, 1702, 25477, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3689, 659, 10944, 6334, 16412, 699, 5431, 15298, 531, 2203, 7616, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3910, 776, 5431, 16810, 11006, 573, 1702, 26937, 3441, 10993, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 18844, 529, 3364, 6334, 3877, 22888, 528, 5431, 3997, 236786, 20593, 2721, 580, 3927, 15067, 236787, 108, 236770, 236761, 5213, 92495, 8236, 1018, 107, 236772, 22202, 6130, 236787, 93788, 5368, 568, 1479, 22968, 236764, 125349, 779, 2203, 3997, 6436, 568, 179335, 48306, 236768, 107, 236772, 16344, 8112, 236787, 593, 5153, 236764, 193257, 236764, 136608, 236743, 236800, 236771, 236764, 50618, 22039, 12062, 568, 3129, 236792, 236768, 108, 236778, 236761, 5213, 39454, 139610, 1018, 107, 236772, 14066, 22480, 236786, 236763, 21460, 236789, 236751, 10674, 528, 5431, 3997, 236764, 8202, 10630, 236764, 653, 13217, 107, 236772, 13118, 14175, 1133, 4672, 98863, 2729, 24576, 12420, 528, 5431, 2203, 3997, 108, 236800, 236761, 5213, 80995, 219565, 1018, 107, 236772, 13752, 2479, 236787, 12219, 2707, 16130, 22083, 8711, 16130, 7879, 12062, 16130, 19563, 8813, 107, 236772, 8732, 7140, 699, 4916, 236772, 498, 13616, 531, 8330, 10681, 1343, 39869, 10598, 24637, 108, 236812, 236761, 5213, 3503, 107452, 1018, 107, 236772, 12219, 2707, 7474, 12272, 1581, 528, 8330, 13616, 107, 236772, 73069, 8798, 1534, 3997, 568, 194473, 236764, 90352, 236768, 7728, 1702, 568, 79205, 26523, 236764, 2561, 55455, 236768, 107, 236772, 94463, 1343, 3956, 25493, 568, 187823, 236764, 9447, 4660, 236768, 740, 36384, 3877, 108, 38786, 611, 1133, 919, 3530, 1938, 1003, 1027, 529, 1239, 4106, 236764, 653, 1601, 7107, 496, 28233, 2913, 2731, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 25890, 236888, 669, 83073, 6347, 12956, 1041, 7068, 1271, 564, 5630, 496, 53276, 6950, 2613, 1003, 224699, 1646, 2132, 573, 1702, 13616, 236761, 28344, 611, 1161, 600, 756, 10619, 4137, 236789, 5904, 1570, 607, 496, 7609, 1133, 756, 18289, 8112, 573, 5431, 3997, 6334, 3877, 103709, 564, 1461, 531, 1460, 1144, 3530, 28150, 1331, 659, 10980, 1003, 1680, 564, 2233, 990, 236786, 34899, 1131, 4658, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10619, 236779, 33310, 1083, 11058, 3689, 659, 506, 1791, 83073, 573, 5431, 3997, 32109, 623, 3910, 776, 564, 5347, 506, 1447, 22902, 573, 1041, 5431, 6334, 32109, 623, 4602, 593, 5153, 22902, 5367, 625, 573, 5431, 16810, 32109, 623, 3689, 236789, 236751, 506, 4954, 1534, 136608, 236743, 236800, 236771, 532, 236743, 236770, 236771, 573, 5431, 32109, 623, 14219, 3489, 5431, 3997, 83073, 4341, 32109, 623, 3910, 1623, 1677, 496, 193257, 22902, 2157, 573, 5431, 14477, 32109, 623, 3689, 83073, 659, 3149, 573, 5431, 2203, 16810, 32109, 623, 4602, 224699, 22902, 4127, 573, 5431, 1702, 13616, 32109, 623, 3910, 1440, 1677, 625, 1769, 531, 974, 496, 5431, 5646, 22902, 32109, 623, 3689, 83073, 1601, 607, 6334, 44949, 528, 5431, 3997, 236881, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 25890, 529, 22902, 28304, 2721, 580, 1873, 3927, 15067, 532, 3956, 3548, 236787, 108, 1018, 14254, 85236, 3059, 16344, 8112, 53121, 107, 236770, 236761, 5213, 236791, 5153, 568, 8410, 8813, 23471, 62902, 138, 107, 139, 236772, 3858, 2370, 573, 1061, 14956, 2203, 3997, 10318, 107, 139, 236772, 236743, 236800, 236810, 3662, 3885, 3149, 900, 3491, 6131, 236812, 236771, 236810, 573, 116674, 3295, 236768, 107, 139, 236772, 27717, 66431, 573, 5453, 236772, 99313, 14477, 108, 236778, 236761, 5213, 1479, 22968, 52414, 1018, 138, 107, 139, 236772, 43669, 573, 93788, 26937, 13616, 6131, 236770, 236810, 236771, 236772, 236778, 236771, 236771, 810, 3491, 236768, 107, 139, 236772, 30235, 580, 623, 1479, 22968, 573, 22039, 8813, 236775, 67365, 107, 139, 236772, 35632, 33481, 607, 10413, 511, 17180, 573, 236743, 236812, 236796, 21379, 108, 236800, 236761, 5213, 3354, 14983, 236743, 236800, 236771, 236772, 40427, 22039, 98916, 1018, 138, 107, 139, 236772, 609, 236770, 236828, 236771, 236772, 236778, 236778, 236771, 2644, 568, 1967, 695, 684, 12454, 236768, 107, 139, 236772, 93089, 1024, 136608, 236743, 236770, 236771, 573, 71152, 13616, 107, 139, 236772, 137276, 7933, 4258, 6035, 108, 236812, 236761, 5213, 1618, 2413, 7086, 36853, 1018, 138, 107, 139, 236772, 609, 236770, 236771, 236771, 573, 2590, 236823, 5901, 3295, 900, 609, 236778, 236810, 236771, 3491, 11317, 107, 139, 236772, 58078, 8020, 528, 13726, 5431, 108, 1018, 61117, 3801, 48993, 53121, 138, 107, 236772, 5213, 3129, 236792, 568, 157061, 22039, 12062, 62902, 236787, 99423, 236743, 236812, 1518, 2707, 900, 5802, 138, 107, 236772, 5213, 236799, 2783, 8813, 16344, 8112, 66515, 236689, 81754, 607, 224699, 236786, 7851, 511, 17180, 138, 107, 236772, 5213, 61569, 16344, 8112, 66515, 136608, 236743, 236810, 236771, 236771, 34270, 4122, 20222, 618, 496, 36989, 80159, 138, 108, 1018, 23077, 236772, 76652, 42272, 53121, 138, 107, 12575, 14477, 1502, 607, 2196, 136608, 236743, 236770, 236771, 4122, 568, 74860, 17972, 236772, 90787, 236768, 1680, 23324, 528, 136608, 236743, 236800, 236771, 653, 24576, 5646, 5382, 236751, 236761, 13118, 224699, 83073, 1343, 145024, 236789, 236751, 5125, 5058, 740, 577, 7723, 528, 236743, 236778, 236772, 236800, 3794, 607, 912, 236772, 2289, 2748, 236761, 108, 38786, 611, 1133, 786, 531, 1601, 56856, 1239, 2721, 580, 822, 1873, 2707, 1984, 532, 3530, 6334, 7675, 236881, 1701, 2591, 236764, 768, 611, 236789, 500, 2135, 236772, 53767, 236764, 692, 2473, 5840, 6250, 607, 136608, 236743, 236800, 236771, 900, 224699, 236761, 1637, 611, 3016, 735, 3997, 2707, 236764, 593, 5153, 2473, 577, 506, 2480, 1171, 2918, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 776, 600, 236761, 564, 236789, 560, 2506, 506, 2135, 2707, 1679, 2043, 236764, 840, 564, 1202, 531, 11825, 1131, 506, 8330, 2678, 2180, 18830, 855, 1041, 7715, 236761, 1637, 611, 1451, 56856, 2721, 580, 1041, 236743, 236770, 236810, 1518, 528, 506, 98574, 532, 1070, 236779, 93571, 1695, 236764, 564, 236789, 236753, 14756, 625, 236761, 564, 236789, 236757, 15530, 23210, 1003, 3997, 532, 1702, 1271, 7463, 993, 236789, 236751, 496, 22902, 600, 14736, 1800, 73312, 236881, 6542, 236764, 2338, 564, 236789, 236757, 528, 25930, 236789, 236751, 5431, 31111, 236764, 1027, 2263, 76589, 580, 672, 1093, 577, 5122, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 36443, 75716, 2721, 580, 25930, 236789, 236751, 5431, 2436, 16182, 532, 822, 1695, 236787, 108, 1018, 47770, 236743, 236770, 236787, 7989, 1353, 22202, 17936, 568, 236771, 236772, 236800, 3794, 62902, 107, 236770, 236761, 5213, 3713, 109248, 224699, 23471, 52414, 1018, 138, 107, 139, 236772, 808, 11355, 63508, 25930, 236789, 236751, 1494, 236772, 20128, 31111, 7087, 93788, 26937, 6130, 138, 107, 139, 236772, 808, 23077, 63508, 609, 236778, 236771, 236771, 568, 6796, 4735, 2479, 4323, 145024, 9426, 10981, 236768, 138, 107, 139, 236772, 808, 13149, 20090, 63508, 8732, 25930, 34674, 568, 236744, 236761, 236759, 1126, 7357, 79979, 236764, 22881, 40999, 236768, 1161, 224699, 573, 37284, 5431, 5699, 138, 108, 236778, 236761, 5213, 3354, 14983, 236743, 236800, 236771, 236772, 40427, 22039, 20467, 52414, 1018, 138, 107, 139, 236772, 808, 11355, 63508, 31026, 573, 71152, 13616, 580, 25930, 236789, 236751, 1237, 5699, 138, 107, 139, 236772, 808, 23077, 63508, 609, 236778, 236771, 236771, 23278, 236778, 236810, 236771, 568, 236798, 236880, 236777, 7693, 236772, 59849, 15063, 236768, 138, 107, 139, 236772, 808, 1489, 42272, 63508, 6890, 2196, 136608, 236743, 236770, 236771, 4122, 568, 2865, 3747, 684, 649, 8209, 2586, 236768, 618, 4866, 138, 108, 1018, 47770, 236743, 236778, 236787, 42200, 236772, 15354, 10624, 1854, 568, 236800, 236772, 236825, 3794, 62902, 107, 236800, 236761, 5213, 157061, 22039, 12062, 568, 3129, 236792, 62902, 138, 107, 139, 236772, 808, 11355, 63508, 81689, 3997, 236786, 20593, 1343, 1061, 236743, 236800, 236772, 16428, 1657, 138, 107, 139, 236772, 808, 23077, 63508, 609, 236770, 236764, 236812, 236819, 236810, 568, 2763, 26021, 573, 169789, 3295, 753, 25930, 815, 5158, 7312, 236768, 138, 107, 139, 236772, 808, 13149, 12155, 63508, 229330, 684, 25930, 236761, 12561, 573, 19312, 16374, 138, 108, 236812, 236761, 5213, 1618, 2413, 7086, 36853, 900, 93788, 8813, 1018, 138, 107, 139, 236772, 808, 11355, 63508, 25930, 236789, 236751, 236743, 236778, 236771, 236800, 236771, 32115, 7087, 13726, 1702, 4654, 138, 107, 139, 236772, 808, 23077, 63508, 609, 236800, 236810, 236771, 2558, 568, 1618, 2413, 23639, 236768, 900, 2196, 93788, 26937, 12420, 4323, 3602, 236917, 138, 107, 139, 236772, 808, 13149, 95450, 63508, 8732, 25930, 14601, 2729, 49362, 52464, 573, 1239, 138, 108, 1018, 47770, 236743, 236800, 236787, 23703, 22202, 203364, 568, 43983, 236743, 236825, 236772, 236770, 236778, 3794, 62902, 107, 236810, 236761, 5213, 236791, 5153, 52414, 1018, 138, 107, 139, 236772, 808, 11355, 63508, 112294, 13887, 531, 2455, 236772, 7669, 12308, 5699, 568, 236744, 236761, 236759, 1126, 19997, 55677, 90294, 236768, 138, 107, 139, 236772, 808, 23077, 63508, 609, 236812, 236771, 236810, 568, 10192, 236777, 25930, 11503, 15419, 32635, 609, 236770, 236778, 236771, 236768, 138, 107, 139, 236772, 808, 112421, 40170, 63508, 593, 5153, 900, 224699, 32250, 6757, 236743, 236778, 236771, 236908, 13671, 810, 9762, 15098, 1262, 138, 108, 1018, 13149, 18238, 531, 212649, 53121, 107, 236772, 5213, 23425, 25930, 7430, 66515, 59797, 5431, 14896, 12420, 607, 93788, 3213, 6131, 236828, 236819, 236786, 31443, 236768, 107, 236772, 5213, 187823, 529, 7693, 66515, 9617, 21205, 10595, 900, 22902, 3491, 4866, 28023, 107, 236772, 5213, 42804, 3245, 5570, 529, 26830, 66515, 17263, 24027, 573, 1494, 236772, 54453, 83073, 108, 1018, 71653, 166977, 568, 9640, 202721, 236778, 236764, 236778, 236771, 236771, 1473, 1018, 107, 236772, 609, 236778, 236771, 236771, 224699, 138, 107, 236772, 609, 236778, 236810, 236771, 136608, 236743, 236800, 236771, 138, 107, 236772, 609, 236770, 236764, 236812, 236819, 236810, 161487, 138, 107, 236772, 609, 236800, 236810, 236771, 193257, 23639, 138, 107, 236772, 609, 236771, 568, 20337, 969, 2196, 2263, 5405, 573, 202721, 236828, 236771, 236771, 15749, 236768, 108, 1018, 89740, 13739, 53121, 9187, 607, 224699, 900, 136608, 236743, 236800, 236771, 672, 3798, 236764, 1299, 22352, 161487, 1651, 2844, 580, 193257, 23639, 528, 7208, 236761, 25930, 236789, 236751, 7208, 90101, 3590, 1366, 236770, 7436, 573, 25020, 2748, 236761, 21284, 611, 1133, 786, 531, 4187, 672, 1131, 496, 14626, 607, 3530, 2263, 3003, 14069, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 560, 1010, 6972, 1003, 7463, 6049, 1131, 496, 919, 8330, 3853, 528, 5431, 236764, 1133, 3997, 653, 1702, 236761, 3199, 611, 1601, 786, 5811, 855, 1144, 6555, 1331, 4781, 1769, 573, 600, 236881, 564, 5004, 993, 236789, 236751, 1070, 2712, 529, 756, 10619, 4137, 236789, 5904, 611, 740, 1161, 1271, 7463, 2426, 1144, 3496, 659, 10980, 1003, 6334, 3877, 528, 672, 2135, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15884, 1083, 623, 3910, 776, 564, 7140, 699, 5431, 3997, 531, 1702, 13616, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3689, 83073, 659, 1346, 12272, 573, 6334, 3877, 528, 5431, 3997, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3689, 8330, 6130, 659, 3149, 573, 5431, 1702, 3997, 13616, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3910, 740, 564, 2827, 1131, 496, 9550, 3997, 2939, 528, 5431, 2180, 496, 5802, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3689, 659, 506, 2307, 8798, 1534, 5431, 3997, 532, 31035, 1702, 31655, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3689, 3489, 12420, 1601, 607, 94367, 531, 8330, 13616, 528, 5431, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3910, 2132, 563, 2135, 2707, 573, 5431, 3997, 41383, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3689, 5368, 6436, 1374, 5431, 16810, 3449, 573, 1702, 25477, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3689, 659, 10944, 6334, 16412, 699, 5431, 15298, 531, 2203, 7616, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 107, 14937, 15884, 1083, 623, 3910, 776, 5431, 16810, 11006, 573, 1702, 26937, 3441, 10993, 32109, 623, 6265, 1083, 623, 19540, 15788, 236791, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 18844, 529, 3364, 6334, 3877, 22888, 528, 5431, 3997, 236786, 20593, 2721, 580, 3927, 15067, 236787, 108, 236770, 236761, 5213, 92495, 8236, 1018, 107, 236772, 22202, 6130, 236787, 93788, 5368, 568, 1479, 22968, 236764, 125349, 779, 2203, 3997, 6436, 568, 179335, 48306, 236768, 107, 236772, 16344, 8112, 236787, 593, 5153, 236764, 193257, 236764, 136608, 236743, 236800, 236771, 236764, 50618, 22039, 12062, 568, 3129, 236792, 236768, 108, 236778, 236761, 5213, 39454, 139610, 1018, 107, 236772, 14066, 22480, 236786, 236763, 21460, 236789, 236751, 10674, 528, 5431, 3997, 236764, 8202, 10630, 236764, 653, 13217, 107, 236772, 13118, 14175, 1133, 4672, 98863, 2729, 24576, 12420, 528, 5431, 2203, 3997, 108, 236800, 236761, 5213, 80995, 219565, 1018, 107, 236772, 13752, 2479, 236787, 12219, 2707, 16130, 22083, 8711, 16130, 7879, 12062, 16130, 19563, 8813, 107, 236772, 8732, 7140, 699, 4916, 236772, 498, 13616, 531, 8330, 10681, 1343, 39869, 10598, 24637, 108, 236812, 236761, 5213, 3503, 107452, 1018, 107, 236772, 12219, 2707, 7474, 12272, 1581, 528, 8330, 13616, 107, 236772, 73069, 8798, 1534, 3997, 568, 194473, 236764, 90352, 236768, 7728, 1702, 568, 79205, 26523, 236764, 2561, 55455, 236768, 107, 236772, 94463, 1343, 3956, 25493, 568, 187823, 236764, 9447, 4660, 236768, 740, 36384, 3877, 108, 38786, 611, 1133, 919, 3530, 1938, 1003, 1027, 529, 1239, 4106, 236764, 653, 1601, 7107, 496, 28233, 2913, 2731, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 25890, 236888, 669, 83073, 6347, 12956, 1041, 7068, 1271, 564, 5630, 496, 53276, 6950, 2613, 1003, 224699, 1646, 2132, 573, 1702, 13616, 236761, 28344, 611, 1161, 600, 756, 10619, 4137, 236789, 5904, 1570, 607, 496, 7609, 1133, 756, 18289, 8112, 573, 5431, 3997, 6334, 3877, 103709, 564, 1461, 531, 1460, 1144, 3530, 28150, 1331, 659, 10980, 1003, 1680, 564, 2233, 990, 236786, 34899, 1131, 4658, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10619, 236779, 33310, 1083, 11058, 3689, 659, 506, 1791, 83073, 573, 5431, 3997, 32109, 623, 3910, 776, 564, 5347, 506, 1447, 22902, 573, 1041, 5431, 6334, 32109, 623, 4602, 593, 5153, 22902, 5367, 625, 573, 5431, 16810, 32109, 623, 3689, 236789, 236751, 506, 4954, 1534, 136608, 236743, 236800, 236771, 532, 236743, 236770, 236771, 573, 5431, 32109, 623, 14219, 3489, 5431, 3997, 83073, 4341, 32109, 623, 3910, 1623, 1677, 496, 193257, 22902, 2157, 573, 5431, 14477, 32109, 623, 3689, 83073, 659, 3149, 573, 5431, 2203, 16810, 32109, 623, 4602, 224699, 22902, 4127, 573, 5431, 1702, 13616, 32109, 623, 3910, 1440, 1677, 625, 1769, 531, 974, 496, 5431, 5646, 22902, 32109, 623, 3689, 83073, 1601, 607, 6334, 44949, 528, 5431, 3997, 236881, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 25890, 529, 22902, 28304, 2721, 580, 1873, 3927, 15067, 532, 3956, 3548, 236787, 108, 1018, 14254, 85236, 3059, 16344, 8112, 53121, 107, 236770, 236761, 5213, 236791, 5153, 568, 8410, 8813, 23471, 62902, 138, 107, 139, 236772, 3858, 2370, 573, 1061, 14956, 2203, 3997, 10318, 107, 139, 236772, 236743, 236800, 236810, 3662, 3885, 3149, 900, 3491, 6131, 236812, 236771, 236810, 573, 116674, 3295, 236768, 107, 139, 236772, 27717, 66431, 573, 5453, 236772, 99313, 14477, 108, 236778, 236761, 5213, 1479, 22968, 52414, 1018, 138, 107, 139, 236772, 43669, 573, 93788, 26937, 13616, 6131, 236770, 236810, 236771, 236772, 236778, 236771, 236771, 810, 3491, 236768, 107, 139, 236772, 30235, 580, 623, 1479, 22968, 573, 22039, 8813, 236775, 67365, 107, 139, 236772, 35632, 33481, 607, 10413, 511, 17180, 573, 236743, 236812, 236796, 21379, 108, 236800, 236761, 5213, 3354, 14983, 236743, 236800, 236771, 236772, 40427, 22039, 98916, 1018, 138, 107, 139, 236772, 609, 236770, 236828, 236771, 236772, 236778, 236778, 236771, 2644, 568, 1967, 695, 684, 12454, 236768, 107, 139, 236772, 93089, 1024, 136608, 236743, 236770, 236771, 573, 71152, 13616, 107, 139, 236772, 137276, 7933, 4258, 6035, 108, 236812, 236761, 5213, 1618, 2413, 7086, 36853, 1018, 138, 107, 139, 236772, 609, 236770, 236771, 236771, 573, 2590, 236823, 5901, 3295, 900, 609, 236778, 236810, 236771, 3491, 11317, 107, 139, 236772, 58078, 8020, 528, 13726, 5431, 108, 1018, 61117, 3801, 48993, 53121, 138, 107, 236772, 5213, 3129, 236792, 568, 157061, 22039, 12062, 62902, 236787, 99423, 236743, 236812, 1518, 2707, 900, 5802, 138, 107, 236772, 5213, 236799, 2783, 8813, 16344, 8112, 66515, 236689, 81754, 607, 224699, 236786, 7851, 511, 17180, 138, 107, 236772, 5213, 61569, 16344, 8112, 66515, 136608, 236743, 236810, 236771, 236771, 34270, 4122, 20222, 618, 496, 36989, 80159, 138, 108, 1018, 23077, 236772, 76652, 42272, 53121, 138, 107, 12575, 14477, 1502, 607, 2196, 136608, 236743, 236770, 236771, 4122, 568, 74860, 17972, 236772, 90787, 236768, 1680, 23324, 528, 136608, 236743, 236800, 236771, 653, 24576, 5646, 5382, 236751, 236761, 13118, 224699, 83073, 1343, 145024, 236789, 236751, 5125, 5058, 740, 577, 7723, 528, 236743, 236778, 236772, 236800, 3794, 607, 912, 236772, 2289, 2748, 236761, 108, 38786, 611, 1133, 786, 531, 1601, 56856, 1239, 2721, 580, 822, 1873, 2707, 1984, 532, 3530, 6334, 7675, 236881, 1701, 2591, 236764, 768, 611, 236789, 500, 2135, 236772, 53767, 236764, 692, 2473, 5840, 6250, 607, 136608, 236743, 236800, 236771, 900, 224699, 236761, 1637, 611, 3016, 735, 3997, 2707, 236764, 593, 5153, 2473, 577, 506, 2480, 1171, 2918, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 776, 600, 236761, 564, 236789, 560, 2506, 506, 2135, 2707, 1679, 2043, 236764, 840, 564, 1202, 531, 11825, 1131, 506, 8330, 2678, 2180, 18830, 855, 1041, 7715, 236761, 1637, 611, 1451, 56856, 2721, 580, 1041, 236743, 236770, 236810, 1518, 528, 506, 98574, 532, 1070, 236779, 93571, 1695, 236764, 564, 236789, 236753, 14756, 625, 236761, 564, 236789, 236757, 15530, 23210, 1003, 3997, 532, 1702, 1271, 7463, 993, 236789, 236751, 496, 22902, 600, 14736, 1800, 73312, 236881, 6542, 236764, 2338, 564, 236789, 236757, 528, 25930, 236789, 236751, 5431, 31111, 236764, 1027, 2263, 76589, 580, 672, 1093, 577, 5122, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 36443, 75716, 2721, 580, 25930, 236789, 236751, 5431, 2436, 16182, 532, 822, 1695, 236787, 108, 1018, 47770, 236743, 236770, 236787, 7989, 1353, 22202, 17936, 568, 236771, 236772, 236800, 3794, 62902, 107, 236770, 236761, 5213, 3713, 109248, 224699, 23471, 52414, 1018, 138, 107, 139, 236772, 808, 11355, 63508, 25930, 236789, 236751, 1494, 236772, 20128, 31111, 7087, 93788, 26937, 6130, 138, 107, 139, 236772, 808, 23077, 63508, 609, 236778, 236771, 236771, 568, 6796, 4735, 2479, 4323, 145024, 9426, 10981, 236768, 138, 107, 139, 236772, 808, 13149, 20090, 63508, 8732, 25930, 34674, 568, 236744, 236761, 236759, 1126, 7357, 79979, 236764, 22881, 40999, 236768, 1161, 224699, 573, 37284, 5431, 5699, 138, 108, 236778, 236761, 5213, 3354, 14983, 236743, 236800, 236771, 236772, 40427, 22039, 20467, 52414, 1018, 138, 107, 139, 236772, 808, 11355, 63508, 31026, 573, 71152, 13616, 580, 25930, 236789, 236751, 1237, 5699, 138, 107, 139, 236772, 808, 23077, 63508, 609, 236778, 236771, 236771, 23278, 236778, 236810, 236771, 568, 236798, 236880, 236777, 7693, 236772, 59849, 15063, 236768, 138, 107, 139, 236772, 808, 1489, 42272, 63508, 6890, 2196, 136608, 236743, 236770, 236771, 4122, 568, 2865, 3747, 684, 649, 8209, 2586, 236768, 618, 4866, 138, 108, 1018, 47770, 236743, 236778, 236787, 42200, 236772, 15354, 10624, 1854, 568, 236800, 236772, 236825, 3794, 62902, 107, 236800, 236761, 5213, 157061, 22039, 12062, 568, 3129, 236792, 62902, 138, 107, 139, 236772, 808, 11355, 63508, 81689, 3997, 236786, 20593, 1343, 1061, 236743, 236800, 236772, 16428, 1657, 138, 107, 139, 236772, 808, 23077, 63508, 609, 236770, 236764, 236812, 236819, 236810, 568, 2763, 26021, 573, 169789, 3295, 753, 25930, 815, 5158, 7312, 236768, 138, 107, 139, 236772, 808, 13149, 12155, 63508, 229330, 684, 25930, 236761, 12561, 573, 19312, 16374, 138, 108, 236812, 236761, 5213, 1618, 2413, 7086, 36853, 900, 93788, 8813, 1018, 138, 107, 139, 236772, 808, 11355, 63508, 25930, 236789, 236751, 236743, 236778, 236771, 236800, 236771, 32115, 7087, 13726, 1702, 4654, 138, 107, 139, 236772, 808, 23077, 63508, 609, 236800, 236810, 236771, 2558, 568, 1618, 2413, 23639, 236768, 900, 2196, 93788, 26937, 12420, 4323, 3602, 236917, 138, 107, 139, 236772, 808, 13149, 95450, 63508, 8732, 25930, 14601, 2729, 49362, 52464, 573, 1239, 138, 108, 1018, 47770, 236743, 236800, 236787, 23703, 22202, 203364, 568, 43983, 236743, 236825, 236772, 236770, 236778, 3794, 62902, 107, 236810, 236761, 5213, 236791, 5153, 52414, 1018, 138, 107, 139, 236772, 808, 11355, 63508, 112294, 13887, 531, 2455, 236772, 7669, 12308, 5699, 568, 236744, 236761, 236759, 1126, 19997, 55677, 90294, 236768, 138, 107, 139, 236772, 808, 23077, 63508, 609, 236812, 236771, 236810, 568, 10192, 236777, 25930, 11503, 15419, 32635, 609, 236770, 236778, 236771, 236768, 138, 107, 139, 236772, 808, 112421, 40170, 63508, 593, 5153, 900, 224699, 32250, 6757, 236743, 236778, 236771, 236908, 13671, 810, 9762, 15098, 1262, 138, 108, 1018, 13149, 18238, 531, 212649, 53121, 107, 236772, 5213, 23425, 25930, 7430, 66515, 59797, 5431, 14896, 12420, 607, 93788, 3213, 6131, 236828, 236819, 236786, 31443, 236768, 107, 236772, 5213, 187823, 529, 7693, 66515, 9617, 21205, 10595, 900, 22902, 3491, 4866, 28023, 107, 236772, 5213, 42804, 3245, 5570, 529, 26830, 66515, 17263, 24027, 573, 1494, 236772, 54453, 83073, 108, 1018, 71653, 166977, 568, 9640, 202721, 236778, 236764, 236778, 236771, 236771, 1473, 1018, 107, 236772, 609, 236778, 236771, 236771, 224699, 138, 107, 236772, 609, 236778, 236810, 236771, 136608, 236743, 236800, 236771, 138, 107, 236772, 609, 236770, 236764, 236812, 236819, 236810, 161487, 138, 107, 236772, 609, 236800, 236810, 236771, 193257, 23639, 138, 107, 236772, 609, 236771, 568, 20337, 969, 2196, 2263, 5405, 573, 202721, 236828, 236771, 236771, 15749, 236768, 108, 1018, 89740, 13739, 53121, 9187, 607, 224699, 900, 136608, 236743, 236800, 236771, 672, 3798, 236764, 1299, 22352, 161487, 1651, 2844, 580, 193257, 23639, 528, 7208, 236761, 25930, 236789, 236751, 7208, 90101, 3590, 1366, 236770, 7436, 573, 25020, 2748, 236761, 21284, 611, 1133, 786, 531, 4187, 672, 1131, 496, 14626, 607, 3530, 2263, 3003, 14069, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 573, 496, 32286, 236772, 68122, 6387, 531, 4526, 607, 1041, 31887, 672, 9735, 236761, 3199, 611, 1586, 1070, 3835, 607, 1494, 24074, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 44169, 1083, 78493, 3250, 1083, 623, 204655, 143367, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236812, 236764, 623, 108456, 236779, 13126, 1083, 236743, 236828, 236761, 236810, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236819, 236825, 236764, 623, 56036, 1083, 623, 24068, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 23179, 3714, 3250, 1083, 623, 4967, 2774, 8004, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 236764, 623, 108456, 236779, 13126, 1083, 236743, 236828, 236761, 236771, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236819, 236770, 236764, 623, 56036, 1083, 623, 24068, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 23179, 3714, 3250, 1083, 623, 155351, 580, 496, 18943, 236789, 236751, 6156, 827, 623, 3704, 1083, 236743, 236770, 236819, 236810, 236819, 236764, 623, 108456, 236779, 13126, 1083, 236743, 236832, 236761, 236810, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236828, 236819, 236764, 623, 56036, 1083, 623, 24068, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 23179, 3714, 3250, 1083, 623, 57310, 827, 623, 3704, 1083, 236743, 236770, 236819, 236828, 236828, 236764, 623, 108456, 236779, 13126, 1083, 236743, 236832, 236761, 236800, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236832, 236828, 236764, 623, 56036, 1083, 623, 24068, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 23179, 3714, 3250, 1083, 623, 818, 43828, 9055, 827, 623, 3704, 1083, 236743, 236770, 236819, 236828, 236812, 236764, 623, 108456, 236779, 13126, 1083, 236743, 236832, 236761, 236770, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236825, 236800, 236764, 623, 56036, 1083, 623, 24068, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 25938, 1604, 623, 4000, 1083, 236743, 236770, 236764, 623, 17846, 1083, 236743, 236810, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1070, 1494, 236772, 7577, 32286, 236772, 68122, 13154, 4011, 573, 822, 9735, 4526, 607, 822, 31887, 236787, 108, 236770, 236761, 5213, 204655, 143367, 1018, 568, 236778, 236771, 236770, 236812, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236828, 236761, 236810, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236819, 236825, 236908, 138, 107, 139, 236829, 236776, 101841, 18155, 1003, 496, 3184, 72495, 236789, 236751, 18487, 9338, 1208, 496, 29455, 32286, 34270, 657, 496, 38624, 4252, 199345, 9603, 108, 236778, 236761, 5213, 4967, 2774, 8004, 1018, 568, 236778, 236771, 236770, 236825, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236828, 236761, 236771, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236819, 236770, 236908, 138, 107, 139, 236829, 236776, 4532, 13906, 607, 32286, 236772, 52728, 6317, 532, 496, 21361, 75553, 1076, 528, 7383, 13245, 236764, 66051, 9760, 20350, 28605, 607, 16236, 54491, 9603, 108, 236800, 236761, 5213, 155351, 580, 496, 18943, 236789, 236751, 6156, 1018, 568, 236770, 236819, 236810, 236819, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236832, 236761, 236810, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236828, 236819, 236908, 138, 107, 139, 236829, 236776, 56870, 32165, 43887, 33195, 32286, 19575, 699, 506, 236743, 236770, 236819, 236810, 236828, 59397, 44795, 15467, 236764, 18482, 17054, 1133, 11210, 47422, 532, 33857, 957, 7693, 9603, 108, 38786, 611, 1133, 919, 4889, 1003, 1027, 529, 1239, 11847, 236764, 653, 1601, 8159, 1298, 531, 6381, 1091, 236881, 103453, 106, 107, 105, 2364, 107, 30092, 611, 2426, 1298, 564, 740, 6381, 1546, 529, 1239, 13154, 236881, 564, 1461, 531, 4351, 886, 531, 4526, 20564, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 1759, 236772, 2289, 21566, 15830, 1262, 573, 13154, 236764, 618, 672, 5889, 236789, 236745, 8008, 684, 1027, 529, 506, 2487, 6436, 236761, 3153, 236764, 611, 740, 2426, 21566, 14175, 1133, 5213, 11896, 19242, 236761, 854, 125546, 5213, 2783, 21845, 236789, 236751, 623, 10936, 531, 16501, 236775, 3336, 125546, 653, 5181, 3927, 623, 10936, 531, 4526, 870, 21000, 3822, 50190, 580, 6475, 573, 872, 236772, 1071, 236772, 1896, 21566, 3835, 3418, 3019, 1133, 24868, 236764, 91727, 236764, 9593, 13946, 236764, 4044, 236761, 108, 38786, 611, 1133, 786, 531, 1601, 607, 4658, 1663, 1003, 1239, 11847, 568, 236744, 236761, 236759, 1126, 8541, 4889, 236764, 6987, 8283, 236764, 653, 3361, 15136, 20625, 103453, 106, 107, 105, 2364, 107, 30092, 611, 1586, 919, 32286, 236772, 68122, 13154, 607, 1494, 94345, 24074, 236881, 15704, 2101, 236743, 236828, 236761, 236771, 653, 3715, 236761, 564, 1461, 2613, 600, 236789, 236751, 711, 2311, 18487, 1133, 808, 204655, 143367, 236829, 840, 2036, 1535, 573, 496, 28006, 9137, 607, 1041, 31887, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 44169, 1083, 78493, 3250, 1083, 623, 155351, 580, 496, 18943, 236789, 236751, 6156, 827, 623, 108456, 236779, 13126, 1083, 236743, 236828, 236761, 236778, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236819, 236810, 236764, 623, 56036, 1083, 623, 24068, 236764, 121394, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236825, 236771, 1263, 3714, 3250, 1083, 623, 122909, 18248, 236787, 49935, 529, 506, 25750, 827, 623, 108456, 236779, 13126, 1083, 236743, 236828, 236761, 236770, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236819, 236778, 236764, 623, 56036, 1083, 623, 24068, 236764, 121394, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 1263, 3714, 3250, 1083, 623, 1659, 3444, 1733, 1629, 236787, 669, 3415, 2111, 1168, 1629, 121394, 827, 623, 108456, 236779, 13126, 1083, 236743, 236828, 236761, 236771, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236828, 236819, 236764, 623, 56036, 1083, 623, 24068, 236764, 121394, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 1263, 3714, 3250, 1083, 623, 16520, 7918, 22204, 236787, 36801, 506, 24118, 827, 623, 108456, 236779, 13126, 1083, 236743, 236828, 236761, 236771, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236828, 236810, 236764, 623, 56036, 1083, 623, 24068, 236764, 121394, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 1263, 3714, 3250, 1083, 623, 27252, 2154, 17608, 495, 236789, 2154, 827, 623, 108456, 236779, 13126, 1083, 236743, 236828, 236761, 236771, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236828, 236828, 236764, 623, 56036, 1083, 623, 24068, 236764, 121394, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236812, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236810, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 17846, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1070, 26037, 32286, 236772, 68122, 111555, 607, 1494, 94345, 24074, 568, 236828, 236761, 236771, 236862, 779, 4011, 573, 496, 16680, 9137, 607, 822, 31887, 236787, 108, 236770, 236761, 5213, 155351, 580, 496, 18943, 236789, 236751, 6156, 1018, 568, 236770, 236819, 236825, 236771, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236828, 236761, 236778, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236819, 236810, 236908, 138, 107, 139, 236829, 236776, 56870, 14603, 4103, 43887, 33195, 19575, 699, 506, 236743, 236770, 236819, 236810, 236828, 59397, 44795, 15467, 236761, 25772, 17054, 1133, 11210, 47422, 532, 33857, 957, 7693, 528, 496, 28239, 236764, 15026, 236772, 1942, 11661, 237028, 63914, 573, 496, 37066, 3446, 528, 9603, 108, 236778, 236761, 5213, 122909, 18248, 236787, 49935, 529, 506, 25750, 1018, 568, 236778, 236771, 236770, 236819, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236828, 236761, 236770, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236819, 236778, 236908, 138, 107, 139, 236829, 2267, 32163, 32165, 22260, 42774, 18248, 236789, 38472, 6334, 532, 3577, 9338, 236761, 37484, 1275, 532, 25075, 236764, 607, 19282, 62325, 532, 32286, 59454, 46276, 5459, 9603, 108, 236800, 236761, 5213, 1659, 3444, 1733, 1629, 236787, 669, 3415, 2111, 1168, 1629, 121394, 1018, 568, 236778, 236771, 236770, 236825, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236828, 236761, 236771, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236828, 236819, 236908, 138, 107, 139, 236829, 236776, 85274, 32796, 531, 50251, 112267, 617, 3415, 2111, 1168, 1629, 236764, 66051, 83691, 15339, 532, 22555, 236761, 192306, 17466, 532, 186779, 237028, 50936, 573, 4252, 31881, 12985, 18014, 2180, 12732, 9603, 108, 236812, 236761, 5213, 16520, 7918, 22204, 236787, 36801, 506, 24118, 1018, 568, 236778, 236771, 236770, 236828, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236828, 236761, 236771, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236828, 236810, 236908, 138, 107, 139, 236829, 80199, 1090, 506, 22799, 32286, 5346, 236858, 236751, 22327, 1343, 11421, 1133, 5165, 16049, 85139, 532, 29279, 1705, 8525, 236761, 63311, 236764, 96009, 236764, 532, 8326, 607, 13906, 4083, 237028, 36713, 573, 496, 65598, 9137, 9603, 108, 236810, 236761, 5213, 27252, 2154, 17608, 495, 236789, 2154, 1018, 568, 236778, 236771, 236770, 236812, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236828, 236761, 236771, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236828, 236828, 236908, 138, 107, 139, 236829, 236776, 28563, 3925, 529, 97779, 1534, 496, 33195, 32286, 39976, 2113, 532, 496, 3184, 18261, 94269, 236761, 19657, 88578, 532, 14617, 236764, 607, 4148, 4252, 532, 13690, 8744, 9603, 108, 236813, 236743, 244549, 808, 10282, 236787, 564, 1537, 236858, 236745, 735, 1759, 236772, 2289, 21566, 1262, 236764, 840, 611, 740, 2426, 14175, 1133, 870, 11896, 19242, 5457, 2574, 1411, 2769, 236761, 4017, 11636, 236761, 854, 236768, 653, 3927, 623, 10936, 531, 4526, 870, 21000, 3822, 50190, 580, 6475, 573, 1873, 15830, 236761, 21284, 611, 1133, 1601, 91240, 1679, 3835, 2721, 580, 17282, 653, 3117, 236881, 236829, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 573, 496, 32286, 236772, 68122, 6387, 531, 4526, 607, 1041, 31887, 672, 9735, 236761, 3199, 611, 1586, 1070, 3835, 607, 1494, 24074, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 44169, 1083, 78493, 3250, 1083, 623, 204655, 143367, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236812, 236764, 623, 108456, 236779, 13126, 1083, 236743, 236828, 236761, 236810, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236819, 236825, 236764, 623, 56036, 1083, 623, 24068, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 23179, 3714, 3250, 1083, 623, 4967, 2774, 8004, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 236764, 623, 108456, 236779, 13126, 1083, 236743, 236828, 236761, 236771, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236819, 236770, 236764, 623, 56036, 1083, 623, 24068, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 23179, 3714, 3250, 1083, 623, 155351, 580, 496, 18943, 236789, 236751, 6156, 827, 623, 3704, 1083, 236743, 236770, 236819, 236810, 236819, 236764, 623, 108456, 236779, 13126, 1083, 236743, 236832, 236761, 236810, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236828, 236819, 236764, 623, 56036, 1083, 623, 24068, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 23179, 3714, 3250, 1083, 623, 57310, 827, 623, 3704, 1083, 236743, 236770, 236819, 236828, 236828, 236764, 623, 108456, 236779, 13126, 1083, 236743, 236832, 236761, 236800, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236832, 236828, 236764, 623, 56036, 1083, 623, 24068, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 23179, 3714, 3250, 1083, 623, 818, 43828, 9055, 827, 623, 3704, 1083, 236743, 236770, 236819, 236828, 236812, 236764, 623, 108456, 236779, 13126, 1083, 236743, 236832, 236761, 236770, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236825, 236800, 236764, 623, 56036, 1083, 623, 24068, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 25938, 1604, 623, 4000, 1083, 236743, 236770, 236764, 623, 17846, 1083, 236743, 236810, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1070, 1494, 236772, 7577, 32286, 236772, 68122, 13154, 4011, 573, 822, 9735, 4526, 607, 822, 31887, 236787, 108, 236770, 236761, 5213, 204655, 143367, 1018, 568, 236778, 236771, 236770, 236812, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236828, 236761, 236810, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236819, 236825, 236908, 138, 107, 139, 236829, 236776, 101841, 18155, 1003, 496, 3184, 72495, 236789, 236751, 18487, 9338, 1208, 496, 29455, 32286, 34270, 657, 496, 38624, 4252, 199345, 9603, 108, 236778, 236761, 5213, 4967, 2774, 8004, 1018, 568, 236778, 236771, 236770, 236825, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236828, 236761, 236771, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236819, 236770, 236908, 138, 107, 139, 236829, 236776, 4532, 13906, 607, 32286, 236772, 52728, 6317, 532, 496, 21361, 75553, 1076, 528, 7383, 13245, 236764, 66051, 9760, 20350, 28605, 607, 16236, 54491, 9603, 108, 236800, 236761, 5213, 155351, 580, 496, 18943, 236789, 236751, 6156, 1018, 568, 236770, 236819, 236810, 236819, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236832, 236761, 236810, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236828, 236819, 236908, 138, 107, 139, 236829, 236776, 56870, 32165, 43887, 33195, 32286, 19575, 699, 506, 236743, 236770, 236819, 236810, 236828, 59397, 44795, 15467, 236764, 18482, 17054, 1133, 11210, 47422, 532, 33857, 957, 7693, 9603, 108, 38786, 611, 1133, 919, 4889, 1003, 1027, 529, 1239, 11847, 236764, 653, 1601, 8159, 1298, 531, 6381, 1091, 236881, 103453, 106, 107, 105, 2364, 107, 30092, 611, 2426, 1298, 564, 740, 6381, 1546, 529, 1239, 13154, 236881, 564, 1461, 531, 4351, 886, 531, 4526, 20564, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 1759, 236772, 2289, 21566, 15830, 1262, 573, 13154, 236764, 618, 672, 5889, 236789, 236745, 8008, 684, 1027, 529, 506, 2487, 6436, 236761, 3153, 236764, 611, 740, 2426, 21566, 14175, 1133, 5213, 11896, 19242, 236761, 854, 125546, 5213, 2783, 21845, 236789, 236751, 623, 10936, 531, 16501, 236775, 3336, 125546, 653, 5181, 3927, 623, 10936, 531, 4526, 870, 21000, 3822, 50190, 580, 6475, 573, 872, 236772, 1071, 236772, 1896, 21566, 3835, 3418, 3019, 1133, 24868, 236764, 91727, 236764, 9593, 13946, 236764, 4044, 236761, 108, 38786, 611, 1133, 786, 531, 1601, 607, 4658, 1663, 1003, 1239, 11847, 568, 236744, 236761, 236759, 1126, 8541, 4889, 236764, 6987, 8283, 236764, 653, 3361, 15136, 20625, 103453, 106, 107, 105, 2364, 107, 30092, 611, 1586, 919, 32286, 236772, 68122, 13154, 607, 1494, 94345, 24074, 236881, 15704, 2101, 236743, 236828, 236761, 236771, 653, 3715, 236761, 564, 1461, 2613, 600, 236789, 236751, 711, 2311, 18487, 1133, 808, 204655, 143367, 236829, 840, 2036, 1535, 573, 496, 28006, 9137, 607, 1041, 31887, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 44169, 1083, 78493, 3250, 1083, 623, 155351, 580, 496, 18943, 236789, 236751, 6156, 827, 623, 108456, 236779, 13126, 1083, 236743, 236828, 236761, 236778, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236819, 236810, 236764, 623, 56036, 1083, 623, 24068, 236764, 121394, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 827, 623, 18381, 236779, 3704, 1083, 236743, 236770, 236819, 236825, 236771, 1263, 3714, 3250, 1083, 623, 122909, 18248, 236787, 49935, 529, 506, 25750, 827, 623, 108456, 236779, 13126, 1083, 236743, 236828, 236761, 236770, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236819, 236778, 236764, 623, 56036, 1083, 623, 24068, 236764, 121394, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 1263, 3714, 3250, 1083, 623, 1659, 3444, 1733, 1629, 236787, 669, 3415, 2111, 1168, 1629, 121394, 827, 623, 108456, 236779, 13126, 1083, 236743, 236828, 236761, 236771, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236828, 236819, 236764, 623, 56036, 1083, 623, 24068, 236764, 121394, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 1263, 3714, 3250, 1083, 623, 16520, 7918, 22204, 236787, 36801, 506, 24118, 827, 623, 108456, 236779, 13126, 1083, 236743, 236828, 236761, 236771, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236828, 236810, 236764, 623, 56036, 1083, 623, 24068, 236764, 121394, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 1263, 3714, 3250, 1083, 623, 27252, 2154, 17608, 495, 236789, 2154, 827, 623, 108456, 236779, 13126, 1083, 236743, 236828, 236761, 236771, 236764, 623, 2776, 236779, 13126, 1083, 236743, 236828, 236828, 236764, 623, 56036, 1083, 623, 24068, 236764, 121394, 827, 623, 15276, 1083, 623, 236770, 236771, 236828, 236771, 236758, 827, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236770, 236812, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236810, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 17846, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1070, 26037, 32286, 236772, 68122, 111555, 607, 1494, 94345, 24074, 568, 236828, 236761, 236771, 236862, 779, 4011, 573, 496, 16680, 9137, 607, 822, 31887, 236787, 108, 236770, 236761, 5213, 155351, 580, 496, 18943, 236789, 236751, 6156, 1018, 568, 236770, 236819, 236825, 236771, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236828, 236761, 236778, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236819, 236810, 236908, 138, 107, 139, 236829, 236776, 56870, 14603, 4103, 43887, 33195, 19575, 699, 506, 236743, 236770, 236819, 236810, 236828, 59397, 44795, 15467, 236761, 25772, 17054, 1133, 11210, 47422, 532, 33857, 957, 7693, 528, 496, 28239, 236764, 15026, 236772, 1942, 11661, 237028, 63914, 573, 496, 37066, 3446, 528, 9603, 108, 236778, 236761, 5213, 122909, 18248, 236787, 49935, 529, 506, 25750, 1018, 568, 236778, 236771, 236770, 236819, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236828, 236761, 236770, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236819, 236778, 236908, 138, 107, 139, 236829, 2267, 32163, 32165, 22260, 42774, 18248, 236789, 38472, 6334, 532, 3577, 9338, 236761, 37484, 1275, 532, 25075, 236764, 607, 19282, 62325, 532, 32286, 59454, 46276, 5459, 9603, 108, 236800, 236761, 5213, 1659, 3444, 1733, 1629, 236787, 669, 3415, 2111, 1168, 1629, 121394, 1018, 568, 236778, 236771, 236770, 236825, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236828, 236761, 236771, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236828, 236819, 236908, 138, 107, 139, 236829, 236776, 85274, 32796, 531, 50251, 112267, 617, 3415, 2111, 1168, 1629, 236764, 66051, 83691, 15339, 532, 22555, 236761, 192306, 17466, 532, 186779, 237028, 50936, 573, 4252, 31881, 12985, 18014, 2180, 12732, 9603, 108, 236812, 236761, 5213, 16520, 7918, 22204, 236787, 36801, 506, 24118, 1018, 568, 236778, 236771, 236770, 236828, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236828, 236761, 236771, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236828, 236810, 236908, 138, 107, 139, 236829, 80199, 1090, 506, 22799, 32286, 5346, 236858, 236751, 22327, 1343, 11421, 1133, 5165, 16049, 85139, 532, 29279, 1705, 8525, 236761, 63311, 236764, 96009, 236764, 532, 8326, 607, 13906, 4083, 237028, 36713, 573, 496, 65598, 9137, 9603, 108, 236810, 236761, 5213, 27252, 2154, 17608, 495, 236789, 2154, 1018, 568, 236778, 236771, 236770, 236812, 236768, 138, 107, 139, 236772, 94345, 236787, 236743, 236828, 236761, 236771, 236786, 236770, 236771, 1109, 23094, 236787, 236743, 236828, 236828, 236908, 138, 107, 139, 236829, 236776, 28563, 3925, 529, 97779, 1534, 496, 33195, 32286, 39976, 2113, 532, 496, 3184, 18261, 94269, 236761, 19657, 88578, 532, 14617, 236764, 607, 4148, 4252, 532, 13690, 8744, 9603, 108, 236813, 236743, 244549, 808, 10282, 236787, 564, 1537, 236858, 236745, 735, 1759, 236772, 2289, 21566, 1262, 236764, 840, 611, 740, 2426, 14175, 1133, 870, 11896, 19242, 5457, 2574, 1411, 2769, 236761, 4017, 11636, 236761, 854, 236768, 653, 3927, 623, 10936, 531, 4526, 870, 21000, 3822, 50190, 580, 6475, 573, 1873, 15830, 236761, 21284, 611, 1133, 1601, 91240, 1679, 3835, 2721, 580, 17282, 653, 3117, 236881, 236829, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236761, 564, 236858, 560, 1010, 6972, 1003, 22516, 1070, 53926, 580, 3124, 236858, 236751, 9624, 12853, 840, 1461, 531, 577, 6538, 1003, 625, 236761, 5315, 236764, 1451, 611, 974, 506, 10448, 22056, 573, 3124, 236858, 236751, 12853, 699, 506, 5904, 600, 12496, 657, 38735, 236881, 564, 1461, 531, 1460, 837, 7974, 735, 506, 7310, 9948, 529, 11806, 236761, 9920, 692, 236858, 560, 2506, 1724, 236764, 1531, 236858, 236751, 4071, 236772, 30449, 1091, 607, 506, 6376, 8568, 16677, 5904, 531, 1586, 506, 1791, 26844, 573, 506, 1903, 236743, 236778, 236772, 236800, 12853, 236761, 564, 236858, 236757, 3182, 573, 7707, 653, 18663, 30028, 16677, 607, 16279, 7623, 236761, 7062, 236764, 532, 2338, 564, 236858, 236757, 861, 531, 672, 236764, 7463, 8082, 1217, 506, 22056, 532, 26844, 8913, 834, 564, 740, 3449, 236761, 12774, 625, 2918, 684, 2918, 236764, 3635, 237028, 236777, 236858, 236757, 528, 951, 20583, 236764, 1164, 1461, 531, 1386, 2889, 564, 3050, 506, 1657, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 65435, 1083, 78493, 10480, 1083, 623, 74246, 3640, 7728, 25818, 827, 623, 43036, 236779, 52800, 1083, 623, 74246, 3640, 827, 623, 11990, 236779, 53265, 1083, 3714, 74246, 3640, 1083, 236743, 236778, 236761, 236770, 236764, 623, 98125, 1083, 236743, 236770, 236761, 236812, 1263, 623, 57362, 236779, 169861, 616, 1083, 11058, 112181, 195443, 827, 623, 168279, 107333, 14255, 623, 8245, 1493, 236779, 145439, 1083, 3714, 236770, 236917, 236778, 236779, 79692, 1083, 3714, 8147, 1083, 236743, 236778, 236761, 236800, 236810, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236778, 236764, 623, 14968, 1083, 236743, 236800, 236761, 236770, 1263, 623, 1749, 236779, 6460, 236779, 236778, 236779, 236810, 1083, 3714, 1749, 1083, 236743, 236770, 236761, 236828, 236810, 236764, 623, 6460, 1083, 236743, 236770, 236761, 236819, 236810, 112679, 3714, 10480, 1083, 623, 20235, 19627, 7728, 23498, 827, 623, 43036, 236779, 52800, 1083, 623, 14575, 827, 623, 11990, 236779, 53265, 1083, 3714, 20235, 19627, 1083, 236743, 236770, 236761, 236828, 236764, 623, 105665, 1083, 236743, 236770, 236761, 236819, 1263, 623, 57362, 236779, 169861, 616, 1083, 11058, 61351, 142551, 29576, 827, 623, 34326, 204621, 14255, 623, 8245, 1493, 236779, 145439, 1083, 3714, 236770, 236917, 236778, 236779, 79692, 1083, 3714, 8147, 1083, 236743, 236778, 236761, 236828, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236770, 236764, 623, 14968, 1083, 236743, 236778, 236761, 236825, 1263, 623, 1749, 236779, 6460, 236779, 236778, 236779, 236810, 1083, 3714, 1749, 1083, 236743, 236770, 236761, 236832, 236810, 236764, 623, 6460, 1083, 236743, 236778, 236761, 236771, 236810, 19465, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236810, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 84563, 1083, 78493, 43289, 1083, 623, 21713, 827, 623, 10480, 1083, 623, 74246, 3640, 7728, 25818, 827, 623, 79692, 1083, 3714, 8147, 236779, 6328, 1083, 236743, 236778, 236761, 236770, 236810, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236778, 236764, 623, 14968, 236779, 6328, 1083, 236743, 236778, 236761, 236819, 1263, 623, 57307, 2865, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 21221, 111911, 827, 623, 49611, 1083, 623, 9435, 13357, 568, 236825, 236810, 236908, 9948, 16291, 1263, 3714, 43289, 1083, 623, 21713, 827, 623, 10480, 1083, 623, 20235, 19627, 7728, 23498, 827, 623, 79692, 1083, 3714, 8147, 236779, 6328, 1083, 236743, 236770, 236761, 236819, 236810, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236810, 236764, 623, 14968, 236779, 6328, 1083, 236743, 236800, 236761, 236770, 1263, 623, 57307, 2865, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 209489, 13998, 7964, 236756, 827, 623, 49611, 1083, 623, 9435, 13357, 568, 236825, 236771, 236908, 9948, 16291, 104960, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 2763, 37755, 1083, 623, 17056, 1493, 13842, 4652, 236761, 139135, 3660, 531, 2352, 1680, 154502, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 2918, 236772, 2003, 236772, 9340, 3671, 529, 1217, 22056, 532, 26844, 8913, 573, 506, 1903, 12853, 236787, 108, 236770, 236761, 5213, 74246, 3640, 7728, 25818, 1018, 107, 236772, 76790, 236787, 19127, 3640, 3345, 568, 236825, 236810, 236908, 9948, 236768, 107, 236772, 52505, 139135, 236787, 6863, 3345, 1392, 236743, 236778, 236761, 236770, 236810, 107, 236772, 8922, 625, 100146, 236787, 106237, 9948, 4241, 607, 16279, 26844, 236761, 669, 236743, 236825, 236810, 236908, 9948, 12205, 1535, 1550, 657, 1239, 26844, 236761, 107, 236772, 32180, 236786, 86286, 236787, 6903, 236770, 236771, 236771, 1146, 7623, 6903, 236778, 236770, 236810, 768, 4338, 108, 236778, 236761, 5213, 20235, 19627, 7728, 23498, 1018, 107, 236772, 76790, 71928, 236787, 236743, 107, 138, 236772, 28253, 17046, 5904, 236787, 22705, 1346, 4547, 568, 236800, 236761, 236770, 236771, 26844, 236768, 107, 138, 236772, 52505, 17046, 236787, 6863, 3345, 568, 236825, 236771, 236908, 9948, 236768, 107, 236772, 139135, 36520, 236787, 107, 138, 236772, 22705, 1392, 236743, 236800, 236761, 236810, 236771, 568, 37947, 236768, 7728, 236743, 236800, 236761, 236770, 236771, 568, 49611, 5904, 236768, 107, 138, 236772, 6863, 3345, 1392, 236743, 236770, 236761, 236819, 236810, 568, 37947, 236768, 7728, 236743, 236778, 236761, 236828, 236771, 568, 49611, 5904, 236768, 107, 236772, 8922, 625, 236789, 236751, 3996, 236787, 7167, 26427, 3136, 10170, 19627, 3718, 1082, 22056, 3600, 236764, 3043, 4988, 26844, 6412, 14746, 108, 1018, 211199, 34428, 53121, 107, 236770, 236761, 5213, 32663, 8756, 1018, 753, 19127, 3640, 1392, 236743, 236778, 236761, 236770, 236810, 568, 11480, 9948, 900, 16279, 7623, 236768, 107, 236778, 236761, 5213, 65757, 8756, 1018, 753, 23498, 22705, 1392, 236743, 236800, 236761, 236810, 236771, 568, 2394, 1146, 768, 611, 8748, 607, 17046, 5904, 236789, 236751, 236743, 236800, 236761, 236770, 236771, 5888, 3385, 236768, 107, 236800, 236761, 5213, 77499, 1018, 753, 10170, 19627, 2033, 3345, 657, 236743, 236770, 236761, 236819, 236810, 568, 976, 13833, 573, 236743, 236825, 236771, 236908, 9948, 236768, 108, 1018, 3503, 18179, 53121, 669, 22056, 2583, 9948, 14287, 1651, 26844, 1407, 3435, 7623, 236761, 11696, 573, 12983, 1298, 9948, 1890, 25832, 9948, 699, 26844, 568, 236744, 236761, 236759, 1126, 236743, 236825, 236810, 236908, 9948, 7728, 236743, 236778, 236761, 236770, 236810, 26844, 13074, 236743, 236812, 236825, 236761, 236810, 236908, 3149, 9948, 753, 3629, 7377, 769, 108, 38786, 611, 1133, 786, 531, 8082, 1027, 3530, 6084, 529, 672, 3671, 528, 919, 8052, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236761, 564, 236858, 560, 1010, 6972, 1003, 22516, 1070, 53926, 580, 3124, 236858, 236751, 9624, 12853, 840, 1461, 531, 577, 6538, 1003, 625, 236761, 5315, 236764, 1451, 611, 974, 506, 10448, 22056, 573, 3124, 236858, 236751, 12853, 699, 506, 5904, 600, 12496, 657, 38735, 236881, 564, 1461, 531, 1460, 837, 7974, 735, 506, 7310, 9948, 529, 11806, 236761, 9920, 692, 236858, 560, 2506, 1724, 236764, 1531, 236858, 236751, 4071, 236772, 30449, 1091, 607, 506, 6376, 8568, 16677, 5904, 531, 1586, 506, 1791, 26844, 573, 506, 1903, 236743, 236778, 236772, 236800, 12853, 236761, 564, 236858, 236757, 3182, 573, 7707, 653, 18663, 30028, 16677, 607, 16279, 7623, 236761, 7062, 236764, 532, 2338, 564, 236858, 236757, 861, 531, 672, 236764, 7463, 8082, 1217, 506, 22056, 532, 26844, 8913, 834, 564, 740, 3449, 236761, 12774, 625, 2918, 684, 2918, 236764, 3635, 237028, 236777, 236858, 236757, 528, 951, 20583, 236764, 1164, 1461, 531, 1386, 2889, 564, 3050, 506, 1657, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 65435, 1083, 78493, 10480, 1083, 623, 74246, 3640, 7728, 25818, 827, 623, 43036, 236779, 52800, 1083, 623, 74246, 3640, 827, 623, 11990, 236779, 53265, 1083, 3714, 74246, 3640, 1083, 236743, 236778, 236761, 236770, 236764, 623, 98125, 1083, 236743, 236770, 236761, 236812, 1263, 623, 57362, 236779, 169861, 616, 1083, 11058, 112181, 195443, 827, 623, 168279, 107333, 14255, 623, 8245, 1493, 236779, 145439, 1083, 3714, 236770, 236917, 236778, 236779, 79692, 1083, 3714, 8147, 1083, 236743, 236778, 236761, 236800, 236810, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236778, 236764, 623, 14968, 1083, 236743, 236800, 236761, 236770, 1263, 623, 1749, 236779, 6460, 236779, 236778, 236779, 236810, 1083, 3714, 1749, 1083, 236743, 236770, 236761, 236828, 236810, 236764, 623, 6460, 1083, 236743, 236770, 236761, 236819, 236810, 112679, 3714, 10480, 1083, 623, 20235, 19627, 7728, 23498, 827, 623, 43036, 236779, 52800, 1083, 623, 14575, 827, 623, 11990, 236779, 53265, 1083, 3714, 20235, 19627, 1083, 236743, 236770, 236761, 236828, 236764, 623, 105665, 1083, 236743, 236770, 236761, 236819, 1263, 623, 57362, 236779, 169861, 616, 1083, 11058, 61351, 142551, 29576, 827, 623, 34326, 204621, 14255, 623, 8245, 1493, 236779, 145439, 1083, 3714, 236770, 236917, 236778, 236779, 79692, 1083, 3714, 8147, 1083, 236743, 236778, 236761, 236828, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236770, 236764, 623, 14968, 1083, 236743, 236778, 236761, 236825, 1263, 623, 1749, 236779, 6460, 236779, 236778, 236779, 236810, 1083, 3714, 1749, 1083, 236743, 236770, 236761, 236832, 236810, 236764, 623, 6460, 1083, 236743, 236778, 236761, 236771, 236810, 19465, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236810, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 84563, 1083, 78493, 43289, 1083, 623, 21713, 827, 623, 10480, 1083, 623, 74246, 3640, 7728, 25818, 827, 623, 79692, 1083, 3714, 8147, 236779, 6328, 1083, 236743, 236778, 236761, 236770, 236810, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236778, 236764, 623, 14968, 236779, 6328, 1083, 236743, 236778, 236761, 236819, 1263, 623, 57307, 2865, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 21221, 111911, 827, 623, 49611, 1083, 623, 9435, 13357, 568, 236825, 236810, 236908, 9948, 16291, 1263, 3714, 43289, 1083, 623, 21713, 827, 623, 10480, 1083, 623, 20235, 19627, 7728, 23498, 827, 623, 79692, 1083, 3714, 8147, 236779, 6328, 1083, 236743, 236770, 236761, 236819, 236810, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236810, 236764, 623, 14968, 236779, 6328, 1083, 236743, 236800, 236761, 236770, 1263, 623, 57307, 2865, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6109, 1083, 623, 209489, 13998, 7964, 236756, 827, 623, 49611, 1083, 623, 9435, 13357, 568, 236825, 236771, 236908, 9948, 16291, 104960, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 2763, 37755, 1083, 623, 17056, 1493, 13842, 4652, 236761, 139135, 3660, 531, 2352, 1680, 154502, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 2918, 236772, 2003, 236772, 9340, 3671, 529, 1217, 22056, 532, 26844, 8913, 573, 506, 1903, 12853, 236787, 108, 236770, 236761, 5213, 74246, 3640, 7728, 25818, 1018, 107, 236772, 76790, 236787, 19127, 3640, 3345, 568, 236825, 236810, 236908, 9948, 236768, 107, 236772, 52505, 139135, 236787, 6863, 3345, 1392, 236743, 236778, 236761, 236770, 236810, 107, 236772, 8922, 625, 100146, 236787, 106237, 9948, 4241, 607, 16279, 26844, 236761, 669, 236743, 236825, 236810, 236908, 9948, 12205, 1535, 1550, 657, 1239, 26844, 236761, 107, 236772, 32180, 236786, 86286, 236787, 6903, 236770, 236771, 236771, 1146, 7623, 6903, 236778, 236770, 236810, 768, 4338, 108, 236778, 236761, 5213, 20235, 19627, 7728, 23498, 1018, 107, 236772, 76790, 71928, 236787, 236743, 107, 138, 236772, 28253, 17046, 5904, 236787, 22705, 1346, 4547, 568, 236800, 236761, 236770, 236771, 26844, 236768, 107, 138, 236772, 52505, 17046, 236787, 6863, 3345, 568, 236825, 236771, 236908, 9948, 236768, 107, 236772, 139135, 36520, 236787, 107, 138, 236772, 22705, 1392, 236743, 236800, 236761, 236810, 236771, 568, 37947, 236768, 7728, 236743, 236800, 236761, 236770, 236771, 568, 49611, 5904, 236768, 107, 138, 236772, 6863, 3345, 1392, 236743, 236770, 236761, 236819, 236810, 568, 37947, 236768, 7728, 236743, 236778, 236761, 236828, 236771, 568, 49611, 5904, 236768, 107, 236772, 8922, 625, 236789, 236751, 3996, 236787, 7167, 26427, 3136, 10170, 19627, 3718, 1082, 22056, 3600, 236764, 3043, 4988, 26844, 6412, 14746, 108, 1018, 211199, 34428, 53121, 107, 236770, 236761, 5213, 32663, 8756, 1018, 753, 19127, 3640, 1392, 236743, 236778, 236761, 236770, 236810, 568, 11480, 9948, 900, 16279, 7623, 236768, 107, 236778, 236761, 5213, 65757, 8756, 1018, 753, 23498, 22705, 1392, 236743, 236800, 236761, 236810, 236771, 568, 2394, 1146, 768, 611, 8748, 607, 17046, 5904, 236789, 236751, 236743, 236800, 236761, 236770, 236771, 5888, 3385, 236768, 107, 236800, 236761, 5213, 77499, 1018, 753, 10170, 19627, 2033, 3345, 657, 236743, 236770, 236761, 236819, 236810, 568, 976, 13833, 573, 236743, 236825, 236771, 236908, 9948, 236768, 108, 1018, 3503, 18179, 53121, 669, 22056, 2583, 9948, 14287, 1651, 26844, 1407, 3435, 7623, 236761, 11696, 573, 12983, 1298, 9948, 1890, 25832, 9948, 699, 26844, 568, 236744, 236761, 236759, 1126, 236743, 236825, 236810, 236908, 9948, 7728, 236743, 236778, 236761, 236770, 236810, 26844, 13074, 236743, 236812, 236825, 236761, 236810, 236908, 3149, 9948, 753, 3629, 7377, 769, 108, 38786, 611, 1133, 786, 531, 8082, 1027, 3530, 6084, 529, 672, 3671, 528, 919, 8052, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 6827, 993, 236789, 236751, 1070, 2263, 26100, 53451, 4891, 872, 528, 506, 90184, 236761, 3199, 611, 1586, 855, 506, 4889, 1003, 506, 40472, 236764, 1133, 7974, 532, 30916, 236881, 106, 107, 105, 4368, 107, 2021, 1586, 4889, 1003, 26100, 53451, 528, 506, 90184, 236764, 564, 1202, 506, 3530, 5213, 7376, 5853, 1018, 573, 506, 90184, 236761, 669, 5904, 2165, 108331, 236779, 34032, 2020, 236929, 7087, 614, 2165, 7376, 236779, 547, 236929, 531, 33205, 2263, 40472, 236764, 840, 564, 1537, 236858, 236745, 735, 506, 4453, 5853, 573, 506, 90184, 236761, 28344, 611, 9128, 653, 2847, 506, 4338, 2433, 5853, 573, 672, 4563, 236881, 1637, 711, 236764, 564, 236858, 859, 1161, 506, 3678, 1550, 568, 236825, 236828, 779, 840, 5433, 600, 672, 2473, 711, 577, 3530, 531, 506, 90184, 236761, 106, 107, 105, 2364, 107, 236777, 1751, 506, 4338, 2433, 5853, 573, 506, 90184, 563, 236743, 236770, 236771, 236771, 236761, 6890, 600, 531, 2426, 506, 40472, 236764, 840, 768, 611, 236789, 500, 711, 2889, 236764, 3972, 236772, 4256, 607, 506, 3678, 236743, 236825, 236828, 532, 1460, 1144, 3952, 872, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 34032, 2020, 1083, 78493, 1201, 1083, 623, 44131, 236781, 58386, 9654, 827, 623, 7376, 1083, 623, 44131, 236781, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236812, 16175, 20273, 23179, 3714, 1201, 1083, 623, 169538, 32758, 11193, 827, 623, 7376, 1083, 623, 44131, 236781, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236812, 17607, 23117, 25938, 1604, 623, 7376, 236779, 547, 236779, 3456, 1083, 236743, 236770, 236771, 236771, 236764, 623, 6725, 236779, 34032, 2020, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 26100, 40472, 1765, 573, 506, 90184, 1699, 2433, 5853, 236743, 236770, 236771, 236771, 236787, 108, 236770, 236761, 5213, 44131, 236781, 58386, 9654, 1018, 138, 107, 139, 236772, 14040, 20273, 236787, 236743, 236778, 236771, 236778, 236812, 16175, 20273, 138, 108, 236778, 236761, 5213, 169538, 32758, 11193, 1018, 138, 107, 139, 236772, 14040, 20273, 236787, 236743, 236778, 236771, 236778, 236812, 17607, 23117, 138, 108, 818, 1262, 1677, 711, 3204, 3530, 7974, 653, 30916, 236761, 1701, 3342, 4889, 236764, 611, 1149, 1202, 531, 2426, 5125, 15284, 17909, 653, 2263, 8568, 14175, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 4658, 1663, 236888, 106, 107, 105, 2364, 107, 12879, 573, 16329, 236761, 5612, 506, 5904, 3782, 236789, 236745, 2847, 2434, 15852, 653, 30916, 236764, 1451, 611, 1385, 872, 506, 5125, 17909, 573, 506, 90184, 58386, 9654, 532, 46585, 32758, 11193, 1699, 506, 2165, 828, 236779, 35380, 1831, 236779, 133624, 236929, 5904, 236881, 15704, 692, 740, 1586, 53017, 9851, 531, 910, 30916, 653, 2777, 4009, 7704, 573, 12496, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2056, 1699, 506, 2165, 828, 236779, 35380, 1831, 236779, 133624, 236929, 5904, 236764, 840, 993, 236789, 236751, 496, 26919, 236787, 672, 5904, 7087, 14111, 506, 5213, 15396, 8610, 1463, 1018, 529, 506, 15284, 531, 1586, 53017, 9851, 236761, 5612, 692, 1537, 236789, 236745, 735, 506, 4453, 26104, 573, 623, 44131, 236781, 58386, 9654, 236775, 653, 623, 169538, 32758, 11193, 2098, 564, 236789, 859, 735, 531, 1386, 614, 32905, 8844, 236761, 10352, 506, 3678, 2591, 8610, 6791, 828, 56432, 236761, 854, 1373, 4547, 2810, 236789, 236745, 1601, 1590, 236761, 236743, 108, 35155, 236764, 2180, 14111, 506, 5396, 4456, 26104, 573, 1239, 63611, 236764, 672, 5904, 2810, 236789, 236745, 33205, 6684, 53017, 9851, 236761, 669, 5904, 563, 5402, 531, 1586, 81387, 808, 2543, 236829, 496, 3224, 8610, 236764, 711, 531, 6878, 17909, 699, 23037, 236761, 236743, 108, 38786, 611, 1133, 786, 531, 2056, 496, 1607, 4313, 236764, 653, 1374, 564, 8082, 3217, 672, 5904, 5889, 236789, 236745, 9273, 573, 672, 4209, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 6827, 993, 236789, 236751, 1070, 2263, 26100, 53451, 4891, 872, 528, 506, 90184, 236761, 3199, 611, 1586, 855, 506, 4889, 1003, 506, 40472, 236764, 1133, 7974, 532, 30916, 236881, 106, 107, 105, 4368, 107, 2021, 1586, 4889, 1003, 26100, 53451, 528, 506, 90184, 236764, 564, 1202, 506, 3530, 5213, 7376, 5853, 1018, 573, 506, 90184, 236761, 669, 5904, 2165, 108331, 236779, 34032, 2020, 236929, 7087, 614, 2165, 7376, 236779, 547, 236929, 531, 33205, 2263, 40472, 236764, 840, 564, 1537, 236858, 236745, 735, 506, 4453, 5853, 573, 506, 90184, 236761, 28344, 611, 9128, 653, 2847, 506, 4338, 2433, 5853, 573, 672, 4563, 236881, 1637, 711, 236764, 564, 236858, 859, 1161, 506, 3678, 1550, 568, 236825, 236828, 779, 840, 5433, 600, 672, 2473, 711, 577, 3530, 531, 506, 90184, 236761, 106, 107, 105, 2364, 107, 236777, 1751, 506, 4338, 2433, 5853, 573, 506, 90184, 563, 236743, 236770, 236771, 236771, 236761, 6890, 600, 531, 2426, 506, 40472, 236764, 840, 768, 611, 236789, 500, 711, 2889, 236764, 3972, 236772, 4256, 607, 506, 3678, 236743, 236825, 236828, 532, 1460, 1144, 3952, 872, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 34032, 2020, 1083, 78493, 1201, 1083, 623, 44131, 236781, 58386, 9654, 827, 623, 7376, 1083, 623, 44131, 236781, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236812, 16175, 20273, 23179, 3714, 1201, 1083, 623, 169538, 32758, 11193, 827, 623, 7376, 1083, 623, 44131, 236781, 827, 623, 4002, 236779, 19458, 1083, 623, 236778, 236771, 236778, 236812, 17607, 23117, 25938, 1604, 623, 7376, 236779, 547, 236779, 3456, 1083, 236743, 236770, 236771, 236771, 236764, 623, 6725, 236779, 34032, 2020, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 26100, 40472, 1765, 573, 506, 90184, 1699, 2433, 5853, 236743, 236770, 236771, 236771, 236787, 108, 236770, 236761, 5213, 44131, 236781, 58386, 9654, 1018, 138, 107, 139, 236772, 14040, 20273, 236787, 236743, 236778, 236771, 236778, 236812, 16175, 20273, 138, 108, 236778, 236761, 5213, 169538, 32758, 11193, 1018, 138, 107, 139, 236772, 14040, 20273, 236787, 236743, 236778, 236771, 236778, 236812, 17607, 23117, 138, 108, 818, 1262, 1677, 711, 3204, 3530, 7974, 653, 30916, 236761, 1701, 3342, 4889, 236764, 611, 1149, 1202, 531, 2426, 5125, 15284, 17909, 653, 2263, 8568, 14175, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 4658, 1663, 236888, 106, 107, 105, 2364, 107, 12879, 573, 16329, 236761, 5612, 506, 5904, 3782, 236789, 236745, 2847, 2434, 15852, 653, 30916, 236764, 1451, 611, 1385, 872, 506, 5125, 17909, 573, 506, 90184, 58386, 9654, 532, 46585, 32758, 11193, 1699, 506, 2165, 828, 236779, 35380, 1831, 236779, 133624, 236929, 5904, 236881, 15704, 692, 740, 1586, 53017, 9851, 531, 910, 30916, 653, 2777, 4009, 7704, 573, 12496, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2056, 1699, 506, 2165, 828, 236779, 35380, 1831, 236779, 133624, 236929, 5904, 236764, 840, 993, 236789, 236751, 496, 26919, 236787, 672, 5904, 7087, 14111, 506, 5213, 15396, 8610, 1463, 1018, 529, 506, 15284, 531, 1586, 53017, 9851, 236761, 5612, 692, 1537, 236789, 236745, 735, 506, 4453, 26104, 573, 623, 44131, 236781, 58386, 9654, 236775, 653, 623, 169538, 32758, 11193, 2098, 564, 236789, 859, 735, 531, 1386, 614, 32905, 8844, 236761, 10352, 506, 3678, 2591, 8610, 6791, 828, 56432, 236761, 854, 1373, 4547, 2810, 236789, 236745, 1601, 1590, 236761, 236743, 108, 35155, 236764, 2180, 14111, 506, 5396, 4456, 26104, 573, 1239, 63611, 236764, 672, 5904, 2810, 236789, 236745, 33205, 6684, 53017, 9851, 236761, 669, 5904, 563, 5402, 531, 1586, 81387, 808, 2543, 236829, 496, 3224, 8610, 236764, 711, 531, 6878, 17909, 699, 23037, 236761, 236743, 108, 38786, 611, 1133, 786, 531, 2056, 496, 1607, 4313, 236764, 653, 1374, 564, 8082, 3217, 672, 5904, 5889, 236789, 236745, 9273, 573, 672, 4209, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 9226, 68371, 7946, 531, 6056, 32452, 2101, 11115, 58287, 532, 1202, 1601, 35447, 625, 236761, 5315, 236764, 564, 236789, 236753, 1133, 9813, 1938, 1003, 6056, 236789, 236751, 9226, 10154, 4596, 531, 11115, 58287, 236764, 1299, 496, 2918, 236772, 2003, 236772, 9340, 75716, 573, 6995, 672, 7946, 236761, 3792, 236858, 236751, 1502, 607, 506, 9226, 4889, 236761, 3574, 611, 735, 2802, 531, 2891, 236772, 15396, 1262, 600, 1451, 1601, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 28892, 827, 623, 50771, 236779, 178407, 1083, 3714, 51954, 236779, 2858, 15759, 1083, 3714, 7777, 1083, 623, 236776, 6672, 27045, 13803, 506, 12652, 532, 11749, 529, 214444, 568, 100210, 524, 3826, 11115, 236768, 528, 496, 6112, 217184, 8155, 10498, 623, 2478, 236779, 31493, 1083, 11058, 200545, 884, 48397, 827, 623, 184402, 11115, 77428, 827, 623, 38112, 1117, 3514, 13294, 134221, 827, 623, 76317, 48180, 12466, 14255, 623, 124977, 236779, 8478, 159661, 1083, 623, 165684, 528, 506, 236743, 236770, 236825, 594, 7691, 1208, 11115, 7588, 6122, 951, 145899, 27055, 236764, 79720, 31975, 568, 3886, 779, 2833, 568, 82385, 779, 41039, 568, 80855, 779, 532, 117168, 568, 236804, 13447, 22730, 623, 30466, 236779, 48606, 1083, 623, 31717, 12865, 47270, 528, 11115, 7958, 236764, 9226, 16545, 236764, 532, 2147, 10374, 3418, 6056, 236775, 5237, 623, 216398, 236779, 18892, 1083, 3714, 51954, 236779, 91873, 1083, 11058, 236836, 5573, 568, 53843, 2241, 22730, 623, 3138, 73582, 16998, 827, 623, 236797, 1044, 897, 568, 236776, 29801, 236768, 14255, 623, 78414, 236779, 82474, 1083, 236743, 236770, 236778, 236832, 236764, 623, 94636, 236779, 51954, 236779, 33884, 1083, 236743, 236812, 236800, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 168981, 236779, 547, 1083, 623, 236794, 5153, 236772, 236863, 11666, 236772, 236778, 236771, 236778, 236800, 236770, 236771, 236771, 236770, 827, 623, 6201, 236779, 1201, 1083, 623, 28892, 34933, 109057, 32462, 26228, 5932, 34960, 827, 623, 4818, 1083, 623, 17138, 827, 623, 8071, 236779, 2861, 1083, 236743, 236810, 236764, 623, 19001, 1083, 623, 236770, 236828, 2668, 827, 623, 2478, 236779, 34205, 48602, 1083, 78493, 8071, 1083, 623, 26917, 11115, 17620, 7958, 528, 66583, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 23179, 3714, 8071, 1083, 623, 199750, 2147, 11115, 17620, 607, 19743, 34270, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236819, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 23179, 3714, 8071, 1083, 623, 81259, 6672, 11115, 3155, 124142, 18669, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236825, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236828, 25938, 1604, 623, 104094, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236812, 236810, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 2731, 573, 822, 12139, 11115, 17620, 68371, 7946, 236787, 108, 1018, 111534, 11032, 568, 22515, 580, 6056, 236789, 236751, 32462, 5774, 1473, 1018, 107, 236770, 236761, 5213, 97396, 109057, 107330, 66515, 30235, 580, 506, 2390, 12466, 753, 31975, 568, 3886, 779, 2833, 568, 82385, 779, 41039, 568, 80855, 779, 117168, 568, 236804, 13447, 236768, 107, 236778, 236761, 5213, 3503, 81528, 66515, 236743, 107, 139, 236772, 749, 5573, 568, 53843, 2241, 1473, 75820, 573, 214444, 3719, 107, 139, 236772, 1705, 73582, 16998, 236787, 18787, 11115, 53108, 2433, 107, 139, 236772, 71305, 897, 568, 236776, 29801, 1473, 43899, 11115, 231493, 3719, 107, 236800, 236761, 5213, 100368, 17605, 66515, 61268, 606, 20503, 531, 7088, 5143, 607, 6122, 951, 145899, 27055, 236764, 506, 236743, 236770, 236825, 594, 236772, 33201, 11115, 7588, 108, 1018, 11069, 175014, 173160, 53121, 107, 236770, 236761, 5213, 36817, 236743, 236770, 236772, 236810, 66515, 6498, 66583, 34933, 28043, 107, 139, 236772, 30235, 580, 749, 4586, 501, 1725, 4930, 568, 3374, 25581, 236768, 107, 139, 236772, 46071, 6672, 11115, 11810, 528, 18467, 1316, 100099, 7905, 108, 236778, 236761, 5213, 36817, 236743, 236825, 236772, 236828, 66515, 119511, 528, 749, 5573, 107, 139, 236772, 29365, 657, 496, 30051, 73583, 607, 11115, 17620, 8848, 107, 139, 236772, 26922, 3763, 590, 3077, 22903, 3996, 108, 236800, 236761, 5213, 36817, 236743, 236819, 236772, 236770, 236778, 66515, 19782, 109057, 125740, 107, 139, 236772, 7167, 607, 19743, 60115, 568, 236770, 236778, 236832, 2487, 33350, 236768, 107, 139, 236772, 12213, 67016, 3514, 13294, 2707, 108, 236812, 236761, 5213, 36817, 236743, 236770, 236800, 236772, 236770, 236810, 66515, 1705, 73582, 16998, 34933, 15748, 847, 107, 139, 236772, 10990, 11115, 6192, 532, 8487, 8848, 107, 139, 236772, 154898, 528, 11115, 24374, 568, 221174, 15830, 236768, 108, 236810, 236761, 5213, 36817, 236743, 236770, 236825, 236772, 236770, 236828, 66515, 9157, 156057, 39405, 107, 139, 236772, 20099, 2005, 18560, 532, 66747, 107, 139, 236772, 25761, 528, 24636, 11115, 3155, 6514, 108, 1018, 27779, 91330, 53121, 107, 236772, 26922, 506, 749, 5573, 34933, 11109, 107, 236772, 99021, 496, 677, 76010, 568, 31506, 514, 11115, 22658, 236768, 107, 236772, 46071, 506, 17110, 11115, 39971, 7905, 528, 66583, 107, 236772, 14066, 22765, 528, 496, 11115, 17620, 1913, 496, 28594, 14680, 108, 38786, 611, 1133, 786, 531, 59638, 1027, 3530, 912, 529, 672, 76717, 653, 2847, 919, 4889, 1003, 2931, 10217, 529, 506, 11115, 17620, 6540, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 9226, 68371, 7946, 531, 6056, 32452, 2101, 11115, 58287, 532, 1202, 1601, 35447, 625, 236761, 5315, 236764, 564, 236789, 236753, 1133, 9813, 1938, 1003, 6056, 236789, 236751, 9226, 10154, 4596, 531, 11115, 58287, 236764, 1299, 496, 2918, 236772, 2003, 236772, 9340, 75716, 573, 6995, 672, 7946, 236761, 3792, 236858, 236751, 1502, 607, 506, 9226, 4889, 236761, 3574, 611, 735, 2802, 531, 2891, 236772, 15396, 1262, 600, 1451, 1601, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 28892, 827, 623, 50771, 236779, 178407, 1083, 3714, 51954, 236779, 2858, 15759, 1083, 3714, 7777, 1083, 623, 236776, 6672, 27045, 13803, 506, 12652, 532, 11749, 529, 214444, 568, 100210, 524, 3826, 11115, 236768, 528, 496, 6112, 217184, 8155, 10498, 623, 2478, 236779, 31493, 1083, 11058, 200545, 884, 48397, 827, 623, 184402, 11115, 77428, 827, 623, 38112, 1117, 3514, 13294, 134221, 827, 623, 76317, 48180, 12466, 14255, 623, 124977, 236779, 8478, 159661, 1083, 623, 165684, 528, 506, 236743, 236770, 236825, 594, 7691, 1208, 11115, 7588, 6122, 951, 145899, 27055, 236764, 79720, 31975, 568, 3886, 779, 2833, 568, 82385, 779, 41039, 568, 80855, 779, 532, 117168, 568, 236804, 13447, 22730, 623, 30466, 236779, 48606, 1083, 623, 31717, 12865, 47270, 528, 11115, 7958, 236764, 9226, 16545, 236764, 532, 2147, 10374, 3418, 6056, 236775, 5237, 623, 216398, 236779, 18892, 1083, 3714, 51954, 236779, 91873, 1083, 11058, 236836, 5573, 568, 53843, 2241, 22730, 623, 3138, 73582, 16998, 827, 623, 236797, 1044, 897, 568, 236776, 29801, 236768, 14255, 623, 78414, 236779, 82474, 1083, 236743, 236770, 236778, 236832, 236764, 623, 94636, 236779, 51954, 236779, 33884, 1083, 236743, 236812, 236800, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 168981, 236779, 547, 1083, 623, 236794, 5153, 236772, 236863, 11666, 236772, 236778, 236771, 236778, 236800, 236770, 236771, 236771, 236770, 827, 623, 6201, 236779, 1201, 1083, 623, 28892, 34933, 109057, 32462, 26228, 5932, 34960, 827, 623, 4818, 1083, 623, 17138, 827, 623, 8071, 236779, 2861, 1083, 236743, 236810, 236764, 623, 19001, 1083, 623, 236770, 236828, 2668, 827, 623, 2478, 236779, 34205, 48602, 1083, 78493, 8071, 1083, 623, 26917, 11115, 17620, 7958, 528, 66583, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 23179, 3714, 8071, 1083, 623, 199750, 2147, 11115, 17620, 607, 19743, 34270, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236819, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236778, 23179, 3714, 8071, 1083, 623, 81259, 6672, 11115, 3155, 124142, 18669, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236825, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236828, 25938, 1604, 623, 104094, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236812, 236810, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 2731, 573, 822, 12139, 11115, 17620, 68371, 7946, 236787, 108, 1018, 111534, 11032, 568, 22515, 580, 6056, 236789, 236751, 32462, 5774, 1473, 1018, 107, 236770, 236761, 5213, 97396, 109057, 107330, 66515, 30235, 580, 506, 2390, 12466, 753, 31975, 568, 3886, 779, 2833, 568, 82385, 779, 41039, 568, 80855, 779, 117168, 568, 236804, 13447, 236768, 107, 236778, 236761, 5213, 3503, 81528, 66515, 236743, 107, 139, 236772, 749, 5573, 568, 53843, 2241, 1473, 75820, 573, 214444, 3719, 107, 139, 236772, 1705, 73582, 16998, 236787, 18787, 11115, 53108, 2433, 107, 139, 236772, 71305, 897, 568, 236776, 29801, 1473, 43899, 11115, 231493, 3719, 107, 236800, 236761, 5213, 100368, 17605, 66515, 61268, 606, 20503, 531, 7088, 5143, 607, 6122, 951, 145899, 27055, 236764, 506, 236743, 236770, 236825, 594, 236772, 33201, 11115, 7588, 108, 1018, 11069, 175014, 173160, 53121, 107, 236770, 236761, 5213, 36817, 236743, 236770, 236772, 236810, 66515, 6498, 66583, 34933, 28043, 107, 139, 236772, 30235, 580, 749, 4586, 501, 1725, 4930, 568, 3374, 25581, 236768, 107, 139, 236772, 46071, 6672, 11115, 11810, 528, 18467, 1316, 100099, 7905, 108, 236778, 236761, 5213, 36817, 236743, 236825, 236772, 236828, 66515, 119511, 528, 749, 5573, 107, 139, 236772, 29365, 657, 496, 30051, 73583, 607, 11115, 17620, 8848, 107, 139, 236772, 26922, 3763, 590, 3077, 22903, 3996, 108, 236800, 236761, 5213, 36817, 236743, 236819, 236772, 236770, 236778, 66515, 19782, 109057, 125740, 107, 139, 236772, 7167, 607, 19743, 60115, 568, 236770, 236778, 236832, 2487, 33350, 236768, 107, 139, 236772, 12213, 67016, 3514, 13294, 2707, 108, 236812, 236761, 5213, 36817, 236743, 236770, 236800, 236772, 236770, 236810, 66515, 1705, 73582, 16998, 34933, 15748, 847, 107, 139, 236772, 10990, 11115, 6192, 532, 8487, 8848, 107, 139, 236772, 154898, 528, 11115, 24374, 568, 221174, 15830, 236768, 108, 236810, 236761, 5213, 36817, 236743, 236770, 236825, 236772, 236770, 236828, 66515, 9157, 156057, 39405, 107, 139, 236772, 20099, 2005, 18560, 532, 66747, 107, 139, 236772, 25761, 528, 24636, 11115, 3155, 6514, 108, 1018, 27779, 91330, 53121, 107, 236772, 26922, 506, 749, 5573, 34933, 11109, 107, 236772, 99021, 496, 677, 76010, 568, 31506, 514, 11115, 22658, 236768, 107, 236772, 46071, 506, 17110, 11115, 39971, 7905, 528, 66583, 107, 236772, 14066, 22765, 528, 496, 11115, 17620, 1913, 496, 28594, 14680, 108, 38786, 611, 1133, 786, 531, 59638, 1027, 3530, 912, 529, 672, 76717, 653, 2847, 919, 4889, 1003, 2931, 10217, 529, 506, 11115, 17620, 6540, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 33205, 506, 1171, 3104, 529, 7338, 30778, 8904, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 33205, 7338, 30778, 8904, 236761, 669, 2487, 6436, 1186, 1894, 236787, 107, 236770, 236761, 58900, 522, 850, 10595, 568, 1110, 236779, 66850, 236768, 107, 236778, 236761, 35640, 27169, 4735, 5405, 568, 828, 26661, 18892, 236768, 108, 18312, 30778, 8904, 1093, 4547, 1660, 496, 1607, 9299, 31466, 653, 2509, 600, 5889, 236789, 236745, 5633, 2487, 528, 1041, 5904, 1025, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 33205, 506, 1171, 3104, 529, 7338, 30778, 8904, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 33205, 7338, 30778, 8904, 236761, 669, 2487, 6436, 1186, 1894, 236787, 107, 236770, 236761, 58900, 522, 850, 10595, 568, 1110, 236779, 66850, 236768, 107, 236778, 236761, 35640, 27169, 4735, 5405, 568, 828, 26661, 18892, 236768, 108, 18312, 30778, 8904, 1093, 4547, 1660, 496, 1607, 9299, 31466, 653, 2509, 600, 5889, 236789, 236745, 5633, 2487, 528, 1041, 5904, 1025, 236761, 106, 107 ]