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, 236777, 1202, 531, 9279, 1041, 17785, 573, 506, 2148, 1806, 3794, 531, 7715, 573, 496, 27893, 7946, 236761, 564, 981, 236743, 236800, 236828, 3885, 496, 2069, 657, 609, 236770, 236832, 236761, 236778, 236810, 51599, 236761, 3199, 611, 1601, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 220929, 1083, 236743, 236832, 236828, 236825, 236825, 236761, 236771, 236783, 106, 107, 105, 4368, 107, 11069, 9460, 17785, 573, 506, 2148, 1806, 3794, 1093, 577, 5213, 236795, 236832, 236764, 236828, 236825, 236825, 236761, 236771, 236771, 84750, 5715, 236789, 236751, 1217, 625, 19005, 1679, 236787, 108, 236772, 5213, 236800, 236828, 3885, 236786, 14808, 15666, 236743, 236770, 236778, 5695, 1018, 578, 236743, 236812, 236810, 236825, 2558, 3885, 5934, 138, 107, 236772, 5213, 236812, 236810, 236825, 3885, 15666, 609, 236770, 236832, 236761, 236778, 236810, 236786, 13807, 1018, 578, 609, 236832, 236764, 236828, 236825, 236825, 236761, 236771, 236771, 138, 108, 2094, 14988, 34266, 951, 47854, 236764, 43752, 236764, 653, 86673, 568, 236744, 236761, 236759, 1126, 14171, 236764, 8657, 769, 1637, 611, 1202, 3342, 170935, 653, 30981, 236764, 1531, 786, 1281, 236888, 236743, 249851, 238178, 244314, 106, 107, 105, 2364, 107, 12879, 573, 506, 25890, 236888, 564, 1751, 564, 740, 19480, 506, 87597, 8217, 236761, 3792, 786, 1460, 1271, 768, 564, 3553, 1041, 81124, 7715, 684, 609, 236770, 236771, 236771, 2558, 236764, 1217, 1623, 1093, 600, 7266, 1041, 13822, 15749, 531, 236881, 5393, 1461, 531, 1386, 2889, 564, 740, 2036, 2890, 4326, 236761, 106, 107, 105, 4368, 107, 2021, 6054, 1217, 5683, 822, 81124, 7715, 684, 609, 236770, 236771, 236771, 2558, 19375, 822, 5213, 71832, 15749, 125546, 564, 236858, 236753, 1202, 919, 4889, 1003, 822, 1873, 15749, 653, 7715, 25519, 236761, 1701, 2591, 236787, 138, 107, 236772, 2900, 563, 822, 1873, 2558, 15749, 568, 504, 2487, 8775, 236768, 573, 506, 7946, 236881, 138, 107, 236772, 9354, 993, 1032, 6530, 236786, 22785, 14348, 568, 236744, 236761, 236759, 1126, 2780, 236764, 13290, 236764, 14227, 236768, 528, 822, 7715, 236881, 138, 108, 33142, 672, 1938, 236764, 564, 740, 236858, 236745, 9279, 506, 4453, 4100, 236761, 28344, 611, 4024, 822, 3303, 7715, 25890, 653, 15749, 3328, 236881, 103453, 106, 107, 105, 2364, 107, 236775, 12879, 573, 506, 4889, 236888, 5715, 236858, 236751, 506, 6596, 236787, 753, 5213, 30498, 7946, 2157, 66515, 609, 236810, 236764, 236771, 236771, 236771, 753, 5213, 4199, 81124, 2157, 66515, 609, 236810, 236764, 236771, 236771, 236771, 900, 609, 236770, 236771, 236771, 578, 5213, 236795, 236810, 236764, 236770, 236771, 236771, 1018, 753, 5213, 8782, 15749, 66515, 609, 236800, 236764, 236771, 236771, 236771, 753, 5213, 91237, 4354, 66515, 609, 236810, 236764, 236770, 236771, 236771, 753, 609, 236800, 236764, 236771, 236771, 236771, 578, 5213, 236795, 236778, 236764, 236770, 236771, 236771, 1018, 753, 5213, 97850, 15749, 5671, 568, 236770, 236778, 5695, 62902, 236787, 609, 236778, 236764, 236770, 236771, 236771, 108140, 236743, 236770, 236778, 578, 5213, 236795, 236770, 236832, 236810, 236786, 14808, 1018, 5213, 144608, 66515, 1599, 236858, 859, 1202, 531, 5383, 5213, 236795, 236828, 236761, 236800, 236800, 919, 810, 2069, 1018, 1082, 822, 3303, 609, 236770, 236825, 236825, 236761, 236825, 236832, 3328, 236761, 14300, 672, 981, 607, 822, 17785, 236881, 103453, 106, 107, 105, 4368, 107, 11069, 6596, 17507, 855, 236888, 5715, 236789, 236751, 496, 3823, 12323, 236787, 138, 108, 236772, 5213, 30498, 16789, 15749, 3328, 66515, 609, 236770, 236825, 236825, 236761, 236825, 236832, 138, 107, 236772, 5213, 4199, 16789, 15749, 3328, 66515, 609, 236770, 236832, 236810, 236761, 236771, 236771, 138, 107, 236772, 5213, 84869, 4354, 66515, 5213, 236795, 236828, 236761, 236800, 236800, 236786, 14808, 1018, 568, 504, 5213, 236795, 236800, 236800, 236761, 236800, 236800, 236786, 11283, 119542, 138, 108, 3497, 822, 5213, 236795, 236832, 236764, 236828, 236825, 236825, 236761, 236771, 236771, 528, 17785, 1024, 236743, 236800, 3794, 125546, 672, 22488, 563, 28591, 618, 1440, 618, 236787, 138, 107, 236770, 236761, 1599, 1537, 236858, 236745, 735, 1032, 25988, 14348, 568, 236744, 236761, 236759, 1126, 14171, 236764, 8479, 236764, 653, 20173, 5384, 769, 138, 107, 236778, 236761, 1599, 740, 544, 58895, 8775, 699, 1032, 7715, 12669, 568, 236744, 236761, 236759, 1126, 16083, 855, 236764, 16357, 769, 138, 108, 2859, 611, 236858, 500, 12081, 528, 822, 17785, 532, 19142, 236764, 817, 573, 506, 87597, 8217, 236888, 236743, 253251, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 2028, 1607, 25521, 653, 6253, 90353, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 9279, 1041, 17785, 573, 506, 2148, 1806, 3794, 531, 7715, 573, 496, 27893, 7946, 236761, 564, 981, 236743, 236800, 236828, 3885, 496, 2069, 657, 609, 236770, 236832, 236761, 236778, 236810, 51599, 236761, 3199, 611, 1601, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 220929, 1083, 236743, 236832, 236828, 236825, 236825, 236761, 236771, 236783, 106, 107, 105, 4368, 107, 11069, 9460, 17785, 573, 506, 2148, 1806, 3794, 1093, 577, 5213, 236795, 236832, 236764, 236828, 236825, 236825, 236761, 236771, 236771, 84750, 5715, 236789, 236751, 1217, 625, 19005, 1679, 236787, 108, 236772, 5213, 236800, 236828, 3885, 236786, 14808, 15666, 236743, 236770, 236778, 5695, 1018, 578, 236743, 236812, 236810, 236825, 2558, 3885, 5934, 138, 107, 236772, 5213, 236812, 236810, 236825, 3885, 15666, 609, 236770, 236832, 236761, 236778, 236810, 236786, 13807, 1018, 578, 609, 236832, 236764, 236828, 236825, 236825, 236761, 236771, 236771, 138, 108, 2094, 14988, 34266, 951, 47854, 236764, 43752, 236764, 653, 86673, 568, 236744, 236761, 236759, 1126, 14171, 236764, 8657, 769, 1637, 611, 1202, 3342, 170935, 653, 30981, 236764, 1531, 786, 1281, 236888, 236743, 249851, 238178, 244314, 106, 107, 105, 2364, 107, 12879, 573, 506, 25890, 236888, 564, 1751, 564, 740, 19480, 506, 87597, 8217, 236761, 3792, 786, 1460, 1271, 768, 564, 3553, 1041, 81124, 7715, 684, 609, 236770, 236771, 236771, 2558, 236764, 1217, 1623, 1093, 600, 7266, 1041, 13822, 15749, 531, 236881, 5393, 1461, 531, 1386, 2889, 564, 740, 2036, 2890, 4326, 236761, 106, 107, 105, 4368, 107, 2021, 6054, 1217, 5683, 822, 81124, 7715, 684, 609, 236770, 236771, 236771, 2558, 19375, 822, 5213, 71832, 15749, 125546, 564, 236858, 236753, 1202, 919, 4889, 1003, 822, 1873, 15749, 653, 7715, 25519, 236761, 1701, 2591, 236787, 138, 107, 236772, 2900, 563, 822, 1873, 2558, 15749, 568, 504, 2487, 8775, 236768, 573, 506, 7946, 236881, 138, 107, 236772, 9354, 993, 1032, 6530, 236786, 22785, 14348, 568, 236744, 236761, 236759, 1126, 2780, 236764, 13290, 236764, 14227, 236768, 528, 822, 7715, 236881, 138, 108, 33142, 672, 1938, 236764, 564, 740, 236858, 236745, 9279, 506, 4453, 4100, 236761, 28344, 611, 4024, 822, 3303, 7715, 25890, 653, 15749, 3328, 236881, 103453, 106, 107, 105, 2364, 107, 236775, 12879, 573, 506, 4889, 236888, 5715, 236858, 236751, 506, 6596, 236787, 753, 5213, 30498, 7946, 2157, 66515, 609, 236810, 236764, 236771, 236771, 236771, 753, 5213, 4199, 81124, 2157, 66515, 609, 236810, 236764, 236771, 236771, 236771, 900, 609, 236770, 236771, 236771, 578, 5213, 236795, 236810, 236764, 236770, 236771, 236771, 1018, 753, 5213, 8782, 15749, 66515, 609, 236800, 236764, 236771, 236771, 236771, 753, 5213, 91237, 4354, 66515, 609, 236810, 236764, 236770, 236771, 236771, 753, 609, 236800, 236764, 236771, 236771, 236771, 578, 5213, 236795, 236778, 236764, 236770, 236771, 236771, 1018, 753, 5213, 97850, 15749, 5671, 568, 236770, 236778, 5695, 62902, 236787, 609, 236778, 236764, 236770, 236771, 236771, 108140, 236743, 236770, 236778, 578, 5213, 236795, 236770, 236832, 236810, 236786, 14808, 1018, 5213, 144608, 66515, 1599, 236858, 859, 1202, 531, 5383, 5213, 236795, 236828, 236761, 236800, 236800, 919, 810, 2069, 1018, 1082, 822, 3303, 609, 236770, 236825, 236825, 236761, 236825, 236832, 3328, 236761, 14300, 672, 981, 607, 822, 17785, 236881, 103453, 106, 107, 105, 4368, 107, 11069, 6596, 17507, 855, 236888, 5715, 236789, 236751, 496, 3823, 12323, 236787, 138, 108, 236772, 5213, 30498, 16789, 15749, 3328, 66515, 609, 236770, 236825, 236825, 236761, 236825, 236832, 138, 107, 236772, 5213, 4199, 16789, 15749, 3328, 66515, 609, 236770, 236832, 236810, 236761, 236771, 236771, 138, 107, 236772, 5213, 84869, 4354, 66515, 5213, 236795, 236828, 236761, 236800, 236800, 236786, 14808, 1018, 568, 504, 5213, 236795, 236800, 236800, 236761, 236800, 236800, 236786, 11283, 119542, 138, 108, 3497, 822, 5213, 236795, 236832, 236764, 236828, 236825, 236825, 236761, 236771, 236771, 528, 17785, 1024, 236743, 236800, 3794, 125546, 672, 22488, 563, 28591, 618, 1440, 618, 236787, 138, 107, 236770, 236761, 1599, 1537, 236858, 236745, 735, 1032, 25988, 14348, 568, 236744, 236761, 236759, 1126, 14171, 236764, 8479, 236764, 653, 20173, 5384, 769, 138, 107, 236778, 236761, 1599, 740, 544, 58895, 8775, 699, 1032, 7715, 12669, 568, 236744, 236761, 236759, 1126, 16083, 855, 236764, 16357, 769, 138, 108, 2859, 611, 236858, 500, 12081, 528, 822, 17785, 532, 19142, 236764, 817, 573, 506, 87597, 8217, 236888, 236743, 253251, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 2028, 1607, 25521, 653, 6253, 90353, 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, 4875, 531, 6818, 496, 8610, 573, 1041, 3402, 1295, 24037, 1960, 236761, 3199, 611, 2426, 768, 623, 193857, 12033, 236761, 13107, 236775, 563, 2487, 1699, 506, 974, 236779, 3748, 9826, 5904, 236881, 564, 1461, 531, 1386, 2889, 506, 8610, 4889, 4241, 1144, 564, 1202, 1680, 6049, 4448, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 236779, 1201, 1083, 623, 193857, 12033, 236761, 13107, 827, 623, 18700, 1083, 1847, 236764, 623, 33382, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236772, 236770, 236810, 827, 623, 111977, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236770, 236772, 236770, 236810, 827, 623, 50990, 236779, 13769, 1083, 623, 236917, 30844, 236743, 236810, 236771, 236771, 236771, 827, 623, 4818, 1083, 623, 18700, 236779, 1708, 236779, 50990, 25938, 106, 107, 105, 4368, 107, 818, 8610, 5213, 193857, 12033, 236761, 13107, 1018, 563, 5633, 5213, 18700, 573, 15020, 1018, 236888, 5715, 659, 506, 2307, 4889, 236787, 108, 236772, 5213, 31212, 7343, 66515, 21154, 12033, 236761, 13107, 138, 107, 236772, 5213, 51164, 66515, 113452, 18326, 138, 107, 236772, 5213, 53978, 6809, 66515, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236772, 236770, 236810, 138, 107, 236772, 5213, 157456, 6809, 66515, 236743, 236778, 236771, 236778, 236825, 236772, 236771, 236770, 236772, 236770, 236810, 138, 107, 236772, 5213, 44383, 11117, 66515, 1684, 30844, 236743, 236810, 236771, 236771, 236771, 568, 17868, 236761, 609, 236812, 236810, 23058, 236768, 138, 108, 10081, 506, 8610, 563, 2487, 236764, 611, 740, 7162, 607, 506, 15020, 1657, 236761, 21284, 611, 1133, 14984, 580, 1217, 531, 6818, 625, 653, 3342, 4889, 1003, 506, 1657, 528, 1799, 228384, 236881, 236743, 245701, 248850, 106, 107, 105, 2364, 107, 818, 15020, 2157, 563, 528, 1684, 30844, 236764, 834, 564, 1374, 2426, 506, 1873, 8770, 3136, 531, 3050, 506, 23058, 1550, 2480, 236761, 28344, 611, 1161, 974, 236779, 39588, 236779, 14473, 531, 7352, 1684, 30844, 236743, 236810, 236771, 236771, 236771, 531, 23058, 236881, 564, 1461, 531, 9128, 506, 4453, 2157, 1680, 26891, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 14473, 1083, 3714, 38556, 1083, 236743, 236771, 236761, 236771, 236771, 236828, 236810, 236764, 623, 79271, 1083, 236743, 236771, 236761, 236771, 236771, 236832, 236828, 236764, 623, 198481, 1083, 236743, 236770, 236761, 236778, 236810, 236764, 623, 65742, 1083, 236743, 236771, 236761, 236771, 236770, 236770, 236800, 1263, 623, 5521, 236779, 27617, 1083, 623, 236917, 30844, 827, 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, 818, 1873, 8770, 3136, 573, 5213, 236917, 30844, 236743, 236810, 236771, 236771, 236771, 1018, 563, 8296, 5213, 236795, 236812, 236778, 236761, 236810, 236771, 23058, 1018, 568, 5140, 580, 236743, 236770, 1684, 30844, 578, 236743, 236771, 236761, 236771, 236771, 236828, 236810, 23058, 769, 1174, 14274, 691, 11459, 618, 529, 5213, 30651, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 84750, 236743, 108, 55123, 6224, 130712, 236764, 834, 611, 1149, 1461, 531, 3972, 236772, 4256, 12532, 531, 822, 15020, 3433, 236761, 21284, 611, 1133, 786, 531, 110270, 606, 607, 1759, 236772, 2289, 1262, 3209, 236764, 653, 1677, 672, 37386, 506, 2157, 236881, 236743, 246326, 106, 107, 105, 2364, 107, 818, 609, 236812, 236778, 236761, 236810, 236771, 23058, 10967, 100146, 607, 1041, 7715, 236761, 28344, 611, 9128, 506, 4453, 6555, 531, 6818, 623, 193857, 12033, 236761, 13107, 236775, 1343, 506, 1799, 228384, 8610, 70325, 236881, 564, 236858, 236753, 1133, 531, 96820, 672, 1680, 506, 47763, 3433, 529, 236743, 236778, 236771, 236778, 236825, 236772, 236771, 236770, 236772, 236770, 236810, 236761, 3574, 901, 1660, 2263, 1960, 13049, 653, 496, 2263, 14441, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236858, 236745, 735, 1982, 2802, 531, 1799, 228384, 236858, 236751, 5125, 8610, 15020, 56946, 237800, 43616, 19695, 4323, 506, 6436, 3847, 236761, 1701, 18997, 6555, 532, 6035, 568, 236744, 236761, 236759, 1126, 2263, 13049, 236764, 18957, 236764, 653, 70325, 81014, 779, 564, 5840, 57416, 5213, 4199, 228384, 236858, 236751, 5125, 8610, 70325, 1018, 568, 236744, 236761, 236759, 1126, 870, 2574, 1411, 2769, 236761, 236749, 3284, 236761, 13107, 5457, 2574, 1411, 2769, 236761, 236749, 3284, 236761, 13107, 1223, 653, 496, 2263, 6369, 39031, 236761, 236743, 108, 38786, 611, 1133, 1601, 607, 4658, 1663, 1699, 1041, 2487, 6436, 568, 236744, 236761, 236759, 1126, 16329, 2264, 8610, 236764, 20150, 496, 30658, 573, 822, 3432, 236764, 653, 4940, 4266, 496, 1694, 529, 6549, 20625, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 6818, 496, 8610, 573, 1041, 3402, 1295, 24037, 1960, 236761, 3199, 611, 2426, 768, 623, 193857, 12033, 236761, 13107, 236775, 563, 2487, 1699, 506, 974, 236779, 3748, 9826, 5904, 236881, 564, 1461, 531, 1386, 2889, 506, 8610, 4889, 4241, 1144, 564, 1202, 1680, 6049, 4448, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 236779, 1201, 1083, 623, 193857, 12033, 236761, 13107, 827, 623, 18700, 1083, 1847, 236764, 623, 33382, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236772, 236770, 236810, 827, 623, 111977, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236770, 236772, 236770, 236810, 827, 623, 50990, 236779, 13769, 1083, 623, 236917, 30844, 236743, 236810, 236771, 236771, 236771, 827, 623, 4818, 1083, 623, 18700, 236779, 1708, 236779, 50990, 25938, 106, 107, 105, 4368, 107, 818, 8610, 5213, 193857, 12033, 236761, 13107, 1018, 563, 5633, 5213, 18700, 573, 15020, 1018, 236888, 5715, 659, 506, 2307, 4889, 236787, 108, 236772, 5213, 31212, 7343, 66515, 21154, 12033, 236761, 13107, 138, 107, 236772, 5213, 51164, 66515, 113452, 18326, 138, 107, 236772, 5213, 53978, 6809, 66515, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236772, 236770, 236810, 138, 107, 236772, 5213, 157456, 6809, 66515, 236743, 236778, 236771, 236778, 236825, 236772, 236771, 236770, 236772, 236770, 236810, 138, 107, 236772, 5213, 44383, 11117, 66515, 1684, 30844, 236743, 236810, 236771, 236771, 236771, 568, 17868, 236761, 609, 236812, 236810, 23058, 236768, 138, 108, 10081, 506, 8610, 563, 2487, 236764, 611, 740, 7162, 607, 506, 15020, 1657, 236761, 21284, 611, 1133, 14984, 580, 1217, 531, 6818, 625, 653, 3342, 4889, 1003, 506, 1657, 528, 1799, 228384, 236881, 236743, 245701, 248850, 106, 107, 105, 2364, 107, 818, 15020, 2157, 563, 528, 1684, 30844, 236764, 834, 564, 1374, 2426, 506, 1873, 8770, 3136, 531, 3050, 506, 23058, 1550, 2480, 236761, 28344, 611, 1161, 974, 236779, 39588, 236779, 14473, 531, 7352, 1684, 30844, 236743, 236810, 236771, 236771, 236771, 531, 23058, 236881, 564, 1461, 531, 9128, 506, 4453, 2157, 1680, 26891, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 14473, 1083, 3714, 38556, 1083, 236743, 236771, 236761, 236771, 236771, 236828, 236810, 236764, 623, 79271, 1083, 236743, 236771, 236761, 236771, 236771, 236832, 236828, 236764, 623, 198481, 1083, 236743, 236770, 236761, 236778, 236810, 236764, 623, 65742, 1083, 236743, 236771, 236761, 236771, 236770, 236770, 236800, 1263, 623, 5521, 236779, 27617, 1083, 623, 236917, 30844, 827, 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, 818, 1873, 8770, 3136, 573, 5213, 236917, 30844, 236743, 236810, 236771, 236771, 236771, 1018, 563, 8296, 5213, 236795, 236812, 236778, 236761, 236810, 236771, 23058, 1018, 568, 5140, 580, 236743, 236770, 1684, 30844, 578, 236743, 236771, 236761, 236771, 236771, 236828, 236810, 23058, 769, 1174, 14274, 691, 11459, 618, 529, 5213, 30651, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 84750, 236743, 108, 55123, 6224, 130712, 236764, 834, 611, 1149, 1461, 531, 3972, 236772, 4256, 12532, 531, 822, 15020, 3433, 236761, 21284, 611, 1133, 786, 531, 110270, 606, 607, 1759, 236772, 2289, 1262, 3209, 236764, 653, 1677, 672, 37386, 506, 2157, 236881, 236743, 246326, 106, 107, 105, 2364, 107, 818, 609, 236812, 236778, 236761, 236810, 236771, 23058, 10967, 100146, 607, 1041, 7715, 236761, 28344, 611, 9128, 506, 4453, 6555, 531, 6818, 623, 193857, 12033, 236761, 13107, 236775, 1343, 506, 1799, 228384, 8610, 70325, 236881, 564, 236858, 236753, 1133, 531, 96820, 672, 1680, 506, 47763, 3433, 529, 236743, 236778, 236771, 236778, 236825, 236772, 236771, 236770, 236772, 236770, 236810, 236761, 3574, 901, 1660, 2263, 1960, 13049, 653, 496, 2263, 14441, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236858, 236745, 735, 1982, 2802, 531, 1799, 228384, 236858, 236751, 5125, 8610, 15020, 56946, 237800, 43616, 19695, 4323, 506, 6436, 3847, 236761, 1701, 18997, 6555, 532, 6035, 568, 236744, 236761, 236759, 1126, 2263, 13049, 236764, 18957, 236764, 653, 70325, 81014, 779, 564, 5840, 57416, 5213, 4199, 228384, 236858, 236751, 5125, 8610, 70325, 1018, 568, 236744, 236761, 236759, 1126, 870, 2574, 1411, 2769, 236761, 236749, 3284, 236761, 13107, 5457, 2574, 1411, 2769, 236761, 236749, 3284, 236761, 13107, 1223, 653, 496, 2263, 6369, 39031, 236761, 236743, 108, 38786, 611, 1133, 1601, 607, 4658, 1663, 1699, 1041, 2487, 6436, 568, 236744, 236761, 236759, 1126, 16329, 2264, 8610, 236764, 20150, 496, 30658, 573, 822, 3432, 236764, 653, 4940, 4266, 496, 1694, 529, 6549, 20625, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 38670, 236761, 3199, 611, 3442, 786, 2613, 6121, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18377, 1083, 623, 15562, 611, 1281, 600, 614, 65705, 815, 1806, 17500, 7462, 236783, 106, 107, 105, 4368, 107, 249981, 2981, 236789, 236751, 496, 27858, 1707, 236888, 8512, 529, 506, 65705, 236789, 236751, 17500, 9730, 4806, 531, 506, 127081, 236764, 1651, 506, 4168, 25017, 4806, 531, 506, 1884, 529, 506, 2742, 236761, 7712, 30927, 236881, 3026, 901, 11540, 236764, 506, 3710, 600, 40037, 910, 2742, 3643, 808, 170282, 33838, 236829, 531, 64953, 2778, 236888, 32647, 2264, 4940, 1707, 236764, 653, 2863, 692, 30386, 19276, 1131, 137651, 90675, 27052, 236881, 222194, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 38670, 236761, 3199, 611, 3442, 786, 2613, 6121, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18377, 1083, 623, 15562, 611, 1281, 600, 614, 65705, 815, 1806, 17500, 7462, 236783, 106, 107, 105, 4368, 107, 249981, 2981, 236789, 236751, 496, 27858, 1707, 236888, 8512, 529, 506, 65705, 236789, 236751, 17500, 9730, 4806, 531, 506, 127081, 236764, 1651, 506, 4168, 25017, 4806, 531, 506, 1884, 529, 506, 2742, 236761, 7712, 30927, 236881, 3026, 901, 11540, 236764, 506, 3710, 600, 40037, 910, 2742, 3643, 808, 170282, 33838, 236829, 531, 64953, 2778, 236888, 32647, 2264, 4940, 1707, 236764, 653, 2863, 692, 30386, 19276, 1131, 137651, 90675, 27052, 236881, 222194, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 9279, 1041, 13822, 21184, 7548, 236761, 669, 10670, 2886, 563, 609, 236770, 236828, 236810, 236764, 236771, 236771, 236771, 236764, 506, 2142, 3136, 563, 236743, 236800, 236761, 236828, 10014, 532, 506, 1941, 563, 236743, 236778, 236810, 1518, 236761, 3199, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 71832, 236779, 24471, 1083, 236743, 236819, 236810, 236825, 236761, 236812, 236810, 236783, 106, 107, 105, 4368, 107, 11069, 9460, 13822, 21184, 7548, 573, 496, 609, 236770, 236828, 236810, 236764, 236771, 236771, 236771, 10670, 607, 496, 236743, 236800, 236761, 236828, 236908, 7384, 2142, 3136, 1024, 236743, 236778, 236810, 1518, 1093, 577, 5213, 236795, 236819, 236810, 236825, 236761, 236812, 236810, 1018, 568, 31798, 532, 2142, 1186, 769, 236743, 108, 2094, 14988, 34266, 496, 6530, 236772, 4720, 21184, 532, 4038, 236789, 236745, 3204, 4767, 5384, 1133, 3670, 8657, 236764, 14171, 236764, 653, 116674, 768, 11955, 236761, 21284, 611, 1133, 531, 11327, 1607, 25521, 653, 1202, 65977, 580, 4658, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1385, 872, 506, 31866, 573, 11050, 14654, 15333, 236789, 236751, 5410, 623, 200702, 76242, 236775, 531, 5428, 573, 506, 8268, 63287, 236761, 28344, 611, 1586, 1724, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24013, 1083, 623, 200702, 76242, 827, 623, 31040, 1083, 623, 34448, 14654, 15333, 827, 623, 107468, 1083, 623, 200702, 33512, 236764, 9699, 563, 10701, 23847, 236749, 12932, 236764, 1144, 496, 2521, 126746, 529, 27877, 29432, 23847, 236749, 2209, 583, 529, 48565, 236764, 7408, 529, 3803, 5703, 236749, 53535, 529, 4923, 18260, 236764, 23939, 528, 4923, 4806, 6810, 236749, 236785, 236749, 2094, 563, 1041, 3925, 236764, 672, 563, 1041, 5410, 5703, 110363, 30802, 1041, 106236, 784, 506, 1719, 1440, 27696, 236749, 2094, 563, 1041, 3925, 236764, 672, 563, 1041, 5410, 5703, 110363, 30802, 1041, 106236, 784, 506, 1719, 1440, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 31866, 573, 11050, 14654, 15333, 236789, 236751, 3567, 529, 5213, 236775, 200702, 76242, 236775, 66515, 108, 2717, 107, 200702, 33512, 236764, 9699, 563, 10701, 236888, 138, 107, 12932, 236764, 1144, 496, 2521, 126746, 529, 27877, 29432, 236888, 138, 107, 2209, 583, 529, 48565, 236764, 7408, 529, 3803, 236764, 138, 107, 53535, 529, 4923, 18260, 236764, 23939, 528, 4923, 4806, 236761, 138, 108, 2094, 563, 1041, 3925, 236764, 672, 563, 1041, 5410, 236764, 138, 107, 236791, 30802, 1041, 106236, 784, 506, 1719, 1440, 236793, 138, 107, 2094, 563, 1041, 3925, 236764, 672, 563, 1041, 5410, 236764, 138, 107, 236791, 30802, 1041, 106236, 784, 506, 1719, 1440, 236761, 138, 107, 2717, 108, 2094, 27867, 111065, 563, 3187, 6984, 528, 41449, 532, 8268, 199771, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 4767, 51672, 236764, 28857, 17049, 11221, 236764, 653, 1695, 1938, 1003, 506, 5410, 236888, 236743, 243336, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 123684, 607, 1041, 8268, 4690, 3209, 672, 1051, 236761, 28344, 611, 1601, 786, 9279, 506, 1791, 9116, 699, 100339, 236764, 27984, 531, 506, 4467, 236789, 236751, 4844, 116030, 32801, 3988, 236881, 1191, 236789, 859, 577, 9204, 496, 230502, 607, 1806, 20627, 236787, 496, 14016, 2541, 528, 22753, 4085, 236764, 496, 7611, 4721, 3541, 85167, 236764, 532, 496, 1626, 10161, 531, 506, 4467, 16825, 236761, 106, 107, 105, 4368, 107, 236777, 740, 1601, 2731, 822, 9116, 531, 123684, 236888, 2282, 1161, 506, 42301, 5904, 11974, 236764, 564, 236789, 859, 1202, 506, 5213, 37673, 532, 50550, 15375, 1018, 573, 1546, 529, 822, 20627, 236761, 28344, 611, 2847, 1239, 573, 236787, 138, 107, 236770, 236761, 100339, 236764, 27984, 568, 52167, 1523, 236768, 138, 107, 236778, 236761, 22753, 4085, 14016, 7075, 568, 15396, 3421, 653, 15375, 236768, 138, 107, 236800, 236761, 85167, 7611, 4721, 4563, 138, 107, 236812, 236761, 4844, 116030, 95748, 6022, 528, 123684, 138, 108, 14946, 611, 4024, 1239, 15375, 528, 20632, 6518, 568, 236744, 236761, 236759, 1126, 236743, 236800, 236819, 236761, 236778, 236819, 236828, 236825, 236778, 236832, 236764, 753, 236819, 236812, 236761, 236832, 236770, 236812, 236800, 236819, 236800, 779, 564, 236858, 859, 9279, 506, 2587, 9116, 607, 822, 1595, 11116, 532, 2847, 2490, 236772, 2003, 236772, 887, 15232, 35813, 573, 496, 230502, 236761, 1701, 5577, 236764, 506, 4844, 116030, 95748, 6022, 563, 8296, 657, 5213, 236812, 236812, 236761, 236832, 236800, 236810, 236825, 237366, 646, 236764, 236743, 236770, 236770, 236771, 236761, 236812, 236819, 236770, 236810, 237366, 649, 84750, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 9279, 1041, 13822, 21184, 7548, 236761, 669, 10670, 2886, 563, 609, 236770, 236828, 236810, 236764, 236771, 236771, 236771, 236764, 506, 2142, 3136, 563, 236743, 236800, 236761, 236828, 10014, 532, 506, 1941, 563, 236743, 236778, 236810, 1518, 236761, 3199, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 71832, 236779, 24471, 1083, 236743, 236819, 236810, 236825, 236761, 236812, 236810, 236783, 106, 107, 105, 4368, 107, 11069, 9460, 13822, 21184, 7548, 573, 496, 609, 236770, 236828, 236810, 236764, 236771, 236771, 236771, 10670, 607, 496, 236743, 236800, 236761, 236828, 236908, 7384, 2142, 3136, 1024, 236743, 236778, 236810, 1518, 1093, 577, 5213, 236795, 236819, 236810, 236825, 236761, 236812, 236810, 1018, 568, 31798, 532, 2142, 1186, 769, 236743, 108, 2094, 14988, 34266, 496, 6530, 236772, 4720, 21184, 532, 4038, 236789, 236745, 3204, 4767, 5384, 1133, 3670, 8657, 236764, 14171, 236764, 653, 116674, 768, 11955, 236761, 21284, 611, 1133, 531, 11327, 1607, 25521, 653, 1202, 65977, 580, 4658, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1385, 872, 506, 31866, 573, 11050, 14654, 15333, 236789, 236751, 5410, 623, 200702, 76242, 236775, 531, 5428, 573, 506, 8268, 63287, 236761, 28344, 611, 1586, 1724, 573, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24013, 1083, 623, 200702, 76242, 827, 623, 31040, 1083, 623, 34448, 14654, 15333, 827, 623, 107468, 1083, 623, 200702, 33512, 236764, 9699, 563, 10701, 23847, 236749, 12932, 236764, 1144, 496, 2521, 126746, 529, 27877, 29432, 23847, 236749, 2209, 583, 529, 48565, 236764, 7408, 529, 3803, 5703, 236749, 53535, 529, 4923, 18260, 236764, 23939, 528, 4923, 4806, 6810, 236749, 236785, 236749, 2094, 563, 1041, 3925, 236764, 672, 563, 1041, 5410, 5703, 110363, 30802, 1041, 106236, 784, 506, 1719, 1440, 27696, 236749, 2094, 563, 1041, 3925, 236764, 672, 563, 1041, 5410, 5703, 110363, 30802, 1041, 106236, 784, 506, 1719, 1440, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 31866, 573, 11050, 14654, 15333, 236789, 236751, 3567, 529, 5213, 236775, 200702, 76242, 236775, 66515, 108, 2717, 107, 200702, 33512, 236764, 9699, 563, 10701, 236888, 138, 107, 12932, 236764, 1144, 496, 2521, 126746, 529, 27877, 29432, 236888, 138, 107, 2209, 583, 529, 48565, 236764, 7408, 529, 3803, 236764, 138, 107, 53535, 529, 4923, 18260, 236764, 23939, 528, 4923, 4806, 236761, 138, 108, 2094, 563, 1041, 3925, 236764, 672, 563, 1041, 5410, 236764, 138, 107, 236791, 30802, 1041, 106236, 784, 506, 1719, 1440, 236793, 138, 107, 2094, 563, 1041, 3925, 236764, 672, 563, 1041, 5410, 236764, 138, 107, 236791, 30802, 1041, 106236, 784, 506, 1719, 1440, 236761, 138, 107, 2717, 108, 2094, 27867, 111065, 563, 3187, 6984, 528, 41449, 532, 8268, 199771, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 4767, 51672, 236764, 28857, 17049, 11221, 236764, 653, 1695, 1938, 1003, 506, 5410, 236888, 236743, 243336, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 7946, 531, 123684, 607, 1041, 8268, 4690, 3209, 672, 1051, 236761, 28344, 611, 1601, 786, 9279, 506, 1791, 9116, 699, 100339, 236764, 27984, 531, 506, 4467, 236789, 236751, 4844, 116030, 32801, 3988, 236881, 1191, 236789, 859, 577, 9204, 496, 230502, 607, 1806, 20627, 236787, 496, 14016, 2541, 528, 22753, 4085, 236764, 496, 7611, 4721, 3541, 85167, 236764, 532, 496, 1626, 10161, 531, 506, 4467, 16825, 236761, 106, 107, 105, 4368, 107, 236777, 740, 1601, 2731, 822, 9116, 531, 123684, 236888, 2282, 1161, 506, 42301, 5904, 11974, 236764, 564, 236789, 859, 1202, 506, 5213, 37673, 532, 50550, 15375, 1018, 573, 1546, 529, 822, 20627, 236761, 28344, 611, 2847, 1239, 573, 236787, 138, 107, 236770, 236761, 100339, 236764, 27984, 568, 52167, 1523, 236768, 138, 107, 236778, 236761, 22753, 4085, 14016, 7075, 568, 15396, 3421, 653, 15375, 236768, 138, 107, 236800, 236761, 85167, 7611, 4721, 4563, 138, 107, 236812, 236761, 4844, 116030, 95748, 6022, 528, 123684, 138, 108, 14946, 611, 4024, 1239, 15375, 528, 20632, 6518, 568, 236744, 236761, 236759, 1126, 236743, 236800, 236819, 236761, 236778, 236819, 236828, 236825, 236778, 236832, 236764, 753, 236819, 236812, 236761, 236832, 236770, 236812, 236800, 236819, 236800, 779, 564, 236858, 859, 9279, 506, 2587, 9116, 607, 822, 1595, 11116, 532, 2847, 2490, 236772, 2003, 236772, 887, 15232, 35813, 573, 496, 230502, 236761, 1701, 5577, 236764, 506, 4844, 116030, 95748, 6022, 563, 8296, 657, 5213, 236812, 236812, 236761, 236832, 236800, 236810, 236825, 237366, 646, 236764, 236743, 236770, 236770, 236771, 236761, 236812, 236819, 236770, 236810, 237366, 649, 84750, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 54909, 10969, 16690, 89298, 28968, 573, 496, 3435, 14871, 19717, 22020, 9226, 10154, 236761, 5315, 236764, 2426, 3124, 236789, 236751, 10368, 580, 162730, 236819, 236828, 236828, 236761, 854, 573, 555, 18541, 807, 15730, 532, 92470, 3117, 41199, 13922, 657, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 236761, 4934, 506, 2536, 236764, 8701, 837, 4749, 4926, 1546, 13710, 3117, 236761, 1701, 1546, 8385, 2460, 236764, 33205, 506, 3530, 34637, 3835, 532, 22765, 57083, 1938, 236761, 13472, 236764, 8430, 506, 5125, 4456, 9851, 573, 1800, 555, 18541, 807, 15730, 532, 92470, 9780, 9456, 528, 506, 2460, 4889, 531, 3662, 1091, 573, 11858, 4403, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 3061, 1083, 623, 236773, 236785, 236756, 236770, 15919, 765, 807, 15730, 827, 623, 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, 8245, 1493, 236779, 8194, 1083, 11058, 16249, 67316, 827, 623, 9640, 216195, 7178, 236786, 14713, 827, 623, 81209, 27242, 76790, 14255, 623, 86326, 616, 1083, 78493, 1201, 1083, 623, 214504, 11800, 562, 827, 623, 13647, 1083, 623, 236792, 1129, 797, 22616, 23179, 3714, 1201, 1083, 623, 205248, 37630, 603, 827, 623, 13647, 1083, 623, 2267, 128277, 25938, 1604, 623, 56488, 236779, 2883, 1083, 623, 2574, 1411, 236751, 1667, 594, 15730, 236761, 2187, 236786, 18308, 23179, 3714, 3061, 1083, 623, 30025, 827, 623, 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, 8245, 1493, 236779, 8194, 1083, 11058, 136889, 129421, 827, 623, 35746, 945, 725, 10474, 827, 623, 28898, 128960, 139135, 14255, 623, 86326, 616, 1083, 78493, 1201, 1083, 623, 3258, 11800, 565, 827, 623, 13647, 1083, 623, 236799, 9022, 622, 9022, 23179, 3714, 1201, 1083, 623, 156371, 37630, 622, 827, 623, 13647, 1083, 623, 236935, 2564, 16395, 498, 25938, 1604, 623, 56488, 236779, 2883, 1083, 623, 2574, 1411, 1926, 629, 945, 74364, 236761, 2187, 236786, 109581, 25938, 1604, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 25890, 529, 3124, 236789, 236751, 16690, 89298, 4749, 573, 822, 14871, 19717, 2958, 236787, 108, 1018, 236773, 18541, 807, 15730, 21072, 12209, 1018, 107, 236772, 5213, 2866, 66515, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 568, 13902, 236862, 236832, 236768, 107, 236772, 5213, 17056, 1493, 28636, 66515, 236743, 107, 138, 236772, 28253, 67316, 107, 138, 236772, 12613, 216195, 7178, 236786, 14713, 107, 138, 236772, 45147, 27242, 76790, 107, 236772, 5213, 50473, 1194, 115961, 66515, 236743, 107, 138, 236772, 69197, 11800, 562, 568, 236792, 1129, 797, 22616, 236768, 107, 138, 236772, 91078, 37630, 603, 568, 2267, 128277, 236768, 107, 236772, 5213, 68734, 19922, 10297, 66515, 870, 236773, 18541, 807, 15730, 10358, 5457, 2574, 1411, 236751, 1667, 594, 15730, 236761, 2187, 236786, 18308, 236768, 108, 1018, 30025, 21072, 12209, 1018, 107, 236772, 5213, 2866, 66515, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 568, 13902, 236862, 236832, 236768, 107, 236772, 5213, 17056, 1493, 28636, 66515, 236743, 107, 138, 236772, 61127, 129421, 107, 138, 236772, 91434, 725, 10474, 107, 138, 236772, 15097, 128960, 139135, 107, 236772, 5213, 50473, 1194, 115961, 66515, 236743, 107, 138, 236772, 1834, 11800, 565, 568, 236799, 9022, 622, 9022, 236768, 107, 138, 236772, 189800, 37630, 622, 568, 236935, 2564, 16395, 498, 236768, 107, 236772, 5213, 68734, 19922, 10297, 66515, 870, 30025, 52607, 74364, 54288, 5457, 2574, 1411, 1926, 629, 945, 74364, 236761, 2187, 236786, 109581, 236768, 108, 818, 10969, 57083, 38320, 568, 236792, 1129, 797, 22616, 236764, 1455, 128277, 236764, 603, 9022, 622, 9022, 236764, 233084, 16395, 498, 236768, 1451, 2847, 12272, 9226, 4403, 573, 822, 19717, 236761, 10508, 6261, 9851, 3196, 531, 3014, 11858, 5405, 600, 1093, 14051, 822, 31898, 3671, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 54909, 10969, 16690, 89298, 28968, 573, 496, 3435, 14871, 19717, 22020, 9226, 10154, 236761, 5315, 236764, 2426, 3124, 236789, 236751, 10368, 580, 162730, 236819, 236828, 236828, 236761, 854, 573, 555, 18541, 807, 15730, 532, 92470, 3117, 41199, 13922, 657, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 236761, 4934, 506, 2536, 236764, 8701, 837, 4749, 4926, 1546, 13710, 3117, 236761, 1701, 1546, 8385, 2460, 236764, 33205, 506, 3530, 34637, 3835, 532, 22765, 57083, 1938, 236761, 13472, 236764, 8430, 506, 5125, 4456, 9851, 573, 1800, 555, 18541, 807, 15730, 532, 92470, 9780, 9456, 528, 506, 2460, 4889, 531, 3662, 1091, 573, 11858, 4403, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18582, 1083, 78493, 3061, 1083, 623, 236773, 236785, 236756, 236770, 15919, 765, 807, 15730, 827, 623, 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, 8245, 1493, 236779, 8194, 1083, 11058, 16249, 67316, 827, 623, 9640, 216195, 7178, 236786, 14713, 827, 623, 81209, 27242, 76790, 14255, 623, 86326, 616, 1083, 78493, 1201, 1083, 623, 214504, 11800, 562, 827, 623, 13647, 1083, 623, 236792, 1129, 797, 22616, 23179, 3714, 1201, 1083, 623, 205248, 37630, 603, 827, 623, 13647, 1083, 623, 2267, 128277, 25938, 1604, 623, 56488, 236779, 2883, 1083, 623, 2574, 1411, 236751, 1667, 594, 15730, 236761, 2187, 236786, 18308, 23179, 3714, 3061, 1083, 623, 30025, 827, 623, 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, 8245, 1493, 236779, 8194, 1083, 11058, 136889, 129421, 827, 623, 35746, 945, 725, 10474, 827, 623, 28898, 128960, 139135, 14255, 623, 86326, 616, 1083, 78493, 1201, 1083, 623, 3258, 11800, 565, 827, 623, 13647, 1083, 623, 236799, 9022, 622, 9022, 23179, 3714, 1201, 1083, 623, 156371, 37630, 622, 827, 623, 13647, 1083, 623, 236935, 2564, 16395, 498, 25938, 1604, 623, 56488, 236779, 2883, 1083, 623, 2574, 1411, 1926, 629, 945, 74364, 236761, 2187, 236786, 109581, 25938, 1604, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 25890, 529, 3124, 236789, 236751, 16690, 89298, 4749, 573, 822, 14871, 19717, 2958, 236787, 108, 1018, 236773, 18541, 807, 15730, 21072, 12209, 1018, 107, 236772, 5213, 2866, 66515, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 568, 13902, 236862, 236832, 236768, 107, 236772, 5213, 17056, 1493, 28636, 66515, 236743, 107, 138, 236772, 28253, 67316, 107, 138, 236772, 12613, 216195, 7178, 236786, 14713, 107, 138, 236772, 45147, 27242, 76790, 107, 236772, 5213, 50473, 1194, 115961, 66515, 236743, 107, 138, 236772, 69197, 11800, 562, 568, 236792, 1129, 797, 22616, 236768, 107, 138, 236772, 91078, 37630, 603, 568, 2267, 128277, 236768, 107, 236772, 5213, 68734, 19922, 10297, 66515, 870, 236773, 18541, 807, 15730, 10358, 5457, 2574, 1411, 236751, 1667, 594, 15730, 236761, 2187, 236786, 18308, 236768, 108, 1018, 30025, 21072, 12209, 1018, 107, 236772, 5213, 2866, 66515, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 568, 13902, 236862, 236832, 236768, 107, 236772, 5213, 17056, 1493, 28636, 66515, 236743, 107, 138, 236772, 61127, 129421, 107, 138, 236772, 91434, 725, 10474, 107, 138, 236772, 15097, 128960, 139135, 107, 236772, 5213, 50473, 1194, 115961, 66515, 236743, 107, 138, 236772, 1834, 11800, 565, 568, 236799, 9022, 622, 9022, 236768, 107, 138, 236772, 189800, 37630, 622, 568, 236935, 2564, 16395, 498, 236768, 107, 236772, 5213, 68734, 19922, 10297, 66515, 870, 30025, 52607, 74364, 54288, 5457, 2574, 1411, 1926, 629, 945, 74364, 236761, 2187, 236786, 109581, 236768, 108, 818, 10969, 57083, 38320, 568, 236792, 1129, 797, 22616, 236764, 1455, 128277, 236764, 603, 9022, 622, 9022, 236764, 233084, 16395, 498, 236768, 1451, 2847, 12272, 9226, 4403, 573, 822, 19717, 236761, 10508, 6261, 9851, 3196, 531, 3014, 11858, 5405, 600, 1093, 14051, 822, 31898, 3671, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 563, 506, 13435, 529, 756, 120708, 236789, 532, 740, 611, 3927, 573, 4553, 19246, 657, 756, 21254, 236761, 854, 236789, 528, 506, 756, 17372, 236789, 7920, 236881, 106, 107, 105, 4368, 107, 236777, 3914, 6054, 506, 13435, 529, 496, 1463, 653, 3927, 573, 4553, 19246, 657, 3530, 4699, 1699, 506, 2487, 6436, 236761, 3551, 1873, 15858, 659, 5809, 531, 67931, 27169, 77952, 684, 10562, 4323, 506, 2165, 828, 21991, 2003, 29449, 236929, 1292, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3689, 563, 506, 13435, 529, 756, 120708, 236789, 532, 740, 611, 3927, 573, 4553, 19246, 657, 756, 21254, 236761, 854, 236789, 528, 506, 756, 17372, 236789, 7920, 236881, 106, 107, 105, 4368, 107, 236777, 3914, 6054, 506, 13435, 529, 496, 1463, 653, 3927, 573, 4553, 19246, 657, 3530, 4699, 1699, 506, 2487, 6436, 236761, 3551, 1873, 15858, 659, 5809, 531, 67931, 27169, 77952, 684, 10562, 4323, 506, 2165, 828, 21991, 2003, 29449, 236929, 1292, 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, 236789, 236757, 3182, 531, 24564, 657, 496, 2263, 49115, 2299, 528, 1958, 46724, 236761, 28344, 611, 1601, 786, 1586, 1070, 10365, 10789, 4596, 531, 49115, 528, 1958, 46724, 532, 2426, 910, 20183, 531, 1460, 768, 901, 236789, 500, 5158, 532, 33599, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12641, 1083, 78493, 11668, 1083, 623, 738, 46724, 236779, 45312, 616, 827, 623, 36627, 1083, 623, 46640, 119309, 528, 1958, 46724, 236764, 9634, 236761, 40502, 2874, 11303, 532, 28023, 573, 784, 12889, 4535, 236761, 3792, 236789, 236751, 2171, 3075, 41218, 623, 511, 236779, 5034, 1083, 1847, 236764, 623, 76647, 1083, 236743, 236828, 236810, 236771, 236764, 623, 43852, 236779, 22487, 1083, 236743, 236770, 236778, 236764, 623, 5455, 236779, 5034, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236825, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 40495, 7335, 1083, 1847, 1263, 3714, 11668, 1083, 623, 514, 27762, 236779, 45312, 236779, 38057, 827, 623, 36627, 1083, 623, 153150, 49115, 48030, 236761, 1958, 46724, 7312, 20472, 13822, 10338, 121050, 532, 29080, 4749, 236761, 29134, 775, 41218, 623, 511, 236779, 5034, 1083, 1847, 236764, 623, 76647, 1083, 236743, 236778, 236812, 236771, 236771, 236764, 623, 43852, 236779, 22487, 1083, 236743, 236770, 236828, 236764, 623, 5455, 236779, 5034, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236770, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 40495, 7335, 1083, 1847, 1263, 3714, 11668, 1083, 623, 738, 46724, 236779, 25751, 70596, 827, 623, 36627, 1083, 623, 105411, 3999, 11221, 236764, 11363, 6485, 236764, 532, 13726, 10154, 528, 1958, 46724, 236761, 77362, 7760, 2487, 41218, 623, 511, 236779, 5034, 1083, 1847, 236764, 623, 76647, 1083, 236743, 236825, 236778, 236771, 236764, 623, 43852, 236779, 22487, 1083, 236743, 236819, 236764, 623, 5455, 236779, 5034, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 236774, 236770, 236825, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 40495, 7335, 1083, 1847, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 10365, 10789, 4596, 531, 49115, 528, 1958, 46724, 236764, 9634, 236764, 3008, 607, 910, 4588, 532, 33599, 4981, 236787, 108, 236770, 236761, 5213, 236940, 738, 46724, 236779, 45312, 616, 1018, 138, 107, 139, 236772, 21748, 236787, 623, 46640, 119309, 528, 1958, 46724, 236764, 9634, 236761, 40502, 2874, 11303, 532, 28023, 573, 784, 12889, 4535, 236761, 3792, 236789, 236751, 2171, 3075, 9332, 138, 107, 139, 236772, 208062, 236787, 236743, 236828, 236810, 236771, 138, 107, 139, 236772, 34980, 12714, 236787, 236743, 236770, 236778, 138, 107, 139, 236772, 11662, 5158, 236787, 6198, 236743, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 113452, 23531, 532, 33599, 138, 108, 236778, 236761, 5213, 236940, 514, 27762, 236779, 45312, 236779, 38057, 1018, 138, 107, 139, 236772, 21748, 236787, 623, 153150, 49115, 48030, 236761, 1958, 46724, 7312, 20472, 13822, 10338, 121050, 532, 29080, 4749, 236761, 29134, 775, 9332, 138, 107, 139, 236772, 208062, 236787, 236743, 236778, 236764, 236812, 236771, 236771, 138, 107, 139, 236772, 34980, 12714, 236787, 236743, 236770, 236828, 138, 107, 139, 236772, 11662, 5158, 236787, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 113452, 23531, 532, 33599, 138, 108, 236800, 236761, 5213, 236940, 738, 46724, 236779, 25751, 70596, 1018, 138, 107, 139, 236772, 21748, 236787, 623, 105411, 3999, 11221, 236764, 11363, 6485, 236764, 532, 13726, 10154, 528, 1958, 46724, 236761, 77362, 7760, 2487, 9332, 138, 107, 139, 236772, 208062, 236787, 236743, 236825, 236778, 236771, 138, 107, 139, 236772, 34980, 12714, 236787, 236743, 236819, 138, 107, 139, 236772, 11662, 5158, 236787, 6198, 236743, 236770, 236812, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 113452, 23531, 532, 33599, 138, 108, 3243, 1806, 10789, 659, 22074, 21964, 607, 910, 8904, 532, 25010, 33599, 21736, 236761, 669, 5213, 236940, 514, 27762, 236779, 45312, 236779, 38057, 1018, 815, 506, 7310, 15154, 568, 236778, 236764, 236812, 236771, 236771, 23073, 236764, 236743, 236770, 236828, 4803, 12714, 779, 1651, 5213, 236940, 738, 46724, 236779, 45312, 616, 1018, 5469, 16789, 2874, 11303, 36443, 573, 784, 12889, 4535, 236761, 21284, 611, 1133, 786, 531, 1601, 12262, 496, 3618, 531, 5370, 855, 531, 1027, 529, 1239, 4402, 236881, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 24564, 657, 496, 2263, 49115, 2299, 528, 1958, 46724, 236761, 28344, 611, 1601, 786, 1586, 1070, 10365, 10789, 4596, 531, 49115, 528, 1958, 46724, 532, 2426, 910, 20183, 531, 1460, 768, 901, 236789, 500, 5158, 532, 33599, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12641, 1083, 78493, 11668, 1083, 623, 738, 46724, 236779, 45312, 616, 827, 623, 36627, 1083, 623, 46640, 119309, 528, 1958, 46724, 236764, 9634, 236761, 40502, 2874, 11303, 532, 28023, 573, 784, 12889, 4535, 236761, 3792, 236789, 236751, 2171, 3075, 41218, 623, 511, 236779, 5034, 1083, 1847, 236764, 623, 76647, 1083, 236743, 236828, 236810, 236771, 236764, 623, 43852, 236779, 22487, 1083, 236743, 236770, 236778, 236764, 623, 5455, 236779, 5034, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236825, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 827, 623, 40495, 7335, 1083, 1847, 1263, 3714, 11668, 1083, 623, 514, 27762, 236779, 45312, 236779, 38057, 827, 623, 36627, 1083, 623, 153150, 49115, 48030, 236761, 1958, 46724, 7312, 20472, 13822, 10338, 121050, 532, 29080, 4749, 236761, 29134, 775, 41218, 623, 511, 236779, 5034, 1083, 1847, 236764, 623, 76647, 1083, 236743, 236778, 236812, 236771, 236771, 236764, 623, 43852, 236779, 22487, 1083, 236743, 236770, 236828, 236764, 623, 5455, 236779, 5034, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236770, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 40495, 7335, 1083, 1847, 1263, 3714, 11668, 1083, 623, 738, 46724, 236779, 25751, 70596, 827, 623, 36627, 1083, 623, 105411, 3999, 11221, 236764, 11363, 6485, 236764, 532, 13726, 10154, 528, 1958, 46724, 236761, 77362, 7760, 2487, 41218, 623, 511, 236779, 5034, 1083, 1847, 236764, 623, 76647, 1083, 236743, 236825, 236778, 236771, 236764, 623, 43852, 236779, 22487, 1083, 236743, 236819, 236764, 623, 5455, 236779, 5034, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 236774, 236770, 236825, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 40495, 7335, 1083, 1847, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 10365, 10789, 4596, 531, 49115, 528, 1958, 46724, 236764, 9634, 236764, 3008, 607, 910, 4588, 532, 33599, 4981, 236787, 108, 236770, 236761, 5213, 236940, 738, 46724, 236779, 45312, 616, 1018, 138, 107, 139, 236772, 21748, 236787, 623, 46640, 119309, 528, 1958, 46724, 236764, 9634, 236761, 40502, 2874, 11303, 532, 28023, 573, 784, 12889, 4535, 236761, 3792, 236789, 236751, 2171, 3075, 9332, 138, 107, 139, 236772, 208062, 236787, 236743, 236828, 236810, 236771, 138, 107, 139, 236772, 34980, 12714, 236787, 236743, 236770, 236778, 138, 107, 139, 236772, 11662, 5158, 236787, 6198, 236743, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 113452, 23531, 532, 33599, 138, 108, 236778, 236761, 5213, 236940, 514, 27762, 236779, 45312, 236779, 38057, 1018, 138, 107, 139, 236772, 21748, 236787, 623, 153150, 49115, 48030, 236761, 1958, 46724, 7312, 20472, 13822, 10338, 121050, 532, 29080, 4749, 236761, 29134, 775, 9332, 138, 107, 139, 236772, 208062, 236787, 236743, 236778, 236764, 236812, 236771, 236771, 138, 107, 139, 236772, 34980, 12714, 236787, 236743, 236770, 236828, 138, 107, 139, 236772, 11662, 5158, 236787, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 113452, 23531, 532, 33599, 138, 108, 236800, 236761, 5213, 236940, 738, 46724, 236779, 25751, 70596, 1018, 138, 107, 139, 236772, 21748, 236787, 623, 105411, 3999, 11221, 236764, 11363, 6485, 236764, 532, 13726, 10154, 528, 1958, 46724, 236761, 77362, 7760, 2487, 9332, 138, 107, 139, 236772, 208062, 236787, 236743, 236825, 236778, 236771, 138, 107, 139, 236772, 34980, 12714, 236787, 236743, 236819, 138, 107, 139, 236772, 11662, 5158, 236787, 6198, 236743, 236770, 236812, 236764, 236743, 236778, 236771, 236778, 236800, 138, 107, 139, 236772, 113452, 23531, 532, 33599, 138, 108, 3243, 1806, 10789, 659, 22074, 21964, 607, 910, 8904, 532, 25010, 33599, 21736, 236761, 669, 5213, 236940, 514, 27762, 236779, 45312, 236779, 38057, 1018, 815, 506, 7310, 15154, 568, 236778, 236764, 236812, 236771, 236771, 23073, 236764, 236743, 236770, 236828, 4803, 12714, 779, 1651, 5213, 236940, 738, 46724, 236779, 45312, 616, 1018, 5469, 16789, 2874, 11303, 36443, 573, 784, 12889, 4535, 236761, 21284, 611, 1133, 786, 531, 1601, 12262, 496, 3618, 531, 5370, 855, 531, 1027, 529, 1239, 4402, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 2847, 506, 990, 10202, 1938, 573, 21038, 532, 20616, 1699, 910, 564, 12734, 17253, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 33205, 990, 10202, 1938, 699, 564, 12734, 17253, 236761, 669, 2487, 6436, 3213, 580, 7606, 49054, 236764, 2634, 3325, 236764, 532, 12778, 7606, 51679, 236761, 2282, 974, 990, 10202, 1262, 573, 21038, 532, 20616, 236764, 611, 1093, 1202, 496, 1607, 2509, 653, 9299, 600, 13571, 564, 12734, 17253, 531, 42442, 15375, 653, 990, 20874, 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, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 2847, 506, 990, 10202, 1938, 573, 21038, 532, 20616, 1699, 910, 564, 12734, 17253, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 496, 5904, 600, 740, 33205, 990, 10202, 1938, 699, 564, 12734, 17253, 236761, 669, 2487, 6436, 3213, 580, 7606, 49054, 236764, 2634, 3325, 236764, 532, 12778, 7606, 51679, 236761, 2282, 974, 990, 10202, 1262, 573, 21038, 532, 20616, 236764, 611, 1093, 1202, 496, 1607, 2509, 653, 9299, 600, 13571, 564, 12734, 17253, 531, 42442, 15375, 653, 990, 20874, 5467, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 12498, 236764, 564, 1202, 611, 531, 2426, 2613, 573, 786, 236761, 564, 236858, 236757, 3182, 531, 1138, 496, 9760, 11881, 531, 1041, 5249, 237028, 44784, 600, 11747, 15005, 657, 506, 3399, 3988, 236858, 236751, 4749, 236761, 9187, 684, 26231, 872, 784, 1873, 808, 135001, 236829, 98886, 580, 42641, 496, 73565, 236761, 564, 236858, 560, 2506, 496, 3538, 7075, 573, 11103, 9371, 236764, 840, 564, 1461, 531, 1460, 1144, 236858, 236751, 855, 993, 1171, 236761, 9920, 692, 236858, 560, 2506, 506, 1694, 236764, 692, 236858, 859, 12019, 625, 1679, 531, 15827, 49030, 699, 506, 2141, 236825, 236771, 236751, 236761, 3792, 236858, 236751, 1386, 2889, 625, 236858, 236751, 2506, 496, 782, 236828, 3958, 532, 496, 3980, 3822, 236761, 7062, 236764, 532, 2514, 614, 7068, 580, 506, 13700, 12136, 237028, 13246, 236858, 236745, 1461, 531, 2541, 506, 4856, 236764, 840, 564, 236858, 859, 2350, 5888, 573, 506, 1447, 6347, 529, 4083, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 826, 1507, 1083, 78493, 41239, 1083, 3714, 3704, 1083, 236743, 236770, 236819, 236825, 236819, 236764, 623, 4368, 1083, 623, 29256, 8404, 18236, 827, 623, 18330, 1083, 623, 236800, 236819, 236825, 782, 236828, 827, 623, 3001, 1083, 623, 123863, 1716, 23770, 827, 623, 33432, 676, 1083, 236743, 236832, 236828, 236810, 236771, 236771, 236764, 623, 3250, 236779, 4818, 1083, 623, 39446, 23179, 623, 4002, 236779, 19330, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 236764, 623, 173735, 236779, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 236774, 236778, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 41239, 1083, 3714, 3704, 1083, 236743, 236770, 236819, 236832, 236771, 236764, 623, 4368, 1083, 623, 5239, 23451, 148623, 827, 623, 18330, 1083, 623, 236812, 236810, 236812, 782, 236828, 827, 623, 3001, 1083, 623, 236774, 1939, 49325, 5561, 827, 623, 33432, 676, 1083, 236743, 236819, 236778, 236771, 236771, 236771, 236764, 623, 3250, 236779, 4818, 1083, 623, 39446, 23179, 623, 4002, 236779, 19330, 1083, 236743, 236800, 236778, 236810, 236771, 236771, 236764, 623, 173735, 236779, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 41239, 1083, 3714, 3704, 1083, 236743, 236770, 236819, 236825, 236810, 236764, 623, 4368, 1083, 623, 23790, 3814, 18236, 827, 623, 18330, 1083, 623, 236800, 236778, 236832, 782, 236828, 827, 623, 3001, 1083, 623, 213722, 199400, 827, 623, 33432, 676, 1083, 236743, 236770, 236770, 236771, 236771, 236771, 236771, 236764, 623, 3250, 236779, 4818, 1083, 623, 39446, 23179, 623, 4002, 236779, 19330, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236764, 623, 173735, 236779, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236819, 236774, 236778, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 63697, 98886, 16590, 822, 13138, 236787, 108, 1018, 236770, 236819, 236825, 236810, 63697, 15827, 3814, 18236, 1018, 138, 107, 236772, 7850, 236787, 236743, 236800, 236778, 236832, 782, 236828, 138, 107, 236772, 8040, 236787, 90765, 199400, 138, 107, 236772, 227012, 236787, 236743, 236770, 236770, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 17310, 18365, 236787, 20840, 138, 107, 236772, 14040, 51936, 236787, 609, 236812, 236810, 236764, 236771, 236771, 236771, 138, 107, 236772, 89273, 121016, 236787, 5365, 236743, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 568, 236770, 236771, 236787, 236770, 236810, 8711, 59528, 236768, 138, 108, 2094, 563, 506, 1186, 236743, 236770, 236819, 236825, 236771, 236751, 15827, 3814, 5633, 9456, 607, 496, 782, 236828, 3958, 532, 3980, 3822, 236761, 8512, 1032, 24786, 63697, 11103, 9371, 659, 992, 5158, 236787, 138, 107, 236772, 5213, 236770, 236819, 236825, 236819, 179328, 18236, 1018, 568, 236800, 236819, 236825, 782, 236828, 236764, 609, 236778, 236810, 236764, 236771, 236771, 236771, 13700, 236768, 138, 107, 236772, 5213, 236770, 236819, 236832, 236771, 2935, 23451, 148623, 1018, 568, 236812, 236810, 236812, 782, 236828, 236764, 609, 236800, 236778, 236764, 236810, 236771, 236771, 13700, 236768, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 51239, 236764, 2258, 24104, 236768, 653, 2847, 13700, 16074, 573, 506, 15827, 3814, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 1076, 872, 13700, 16074, 573, 600, 236743, 236770, 236819, 236825, 236810, 15827, 3814, 18236, 236761, 564, 1461, 51679, 768, 506, 13700, 38167, 3068, 609, 236810, 236771, 236767, 237028, 236777, 1537, 236858, 236745, 1461, 531, 1024, 22693, 236764, 840, 564, 236858, 859, 6093, 573, 496, 3980, 236772, 3250, 782, 236828, 607, 1724, 55455, 236761, 6542, 236764, 2426, 768, 993, 659, 1027, 808, 52111, 236829, 11103, 9371, 699, 506, 1638, 6933, 568, 15545, 48346, 236764, 211149, 236768, 607, 3361, 13138, 236761, 564, 236858, 236757, 55587, 8797, 93476, 236764, 840, 564, 236858, 859, 4196, 1932, 768, 496, 16103, 5469, 2480, 1550, 236761, 17608, 506, 18774, 580, 782, 236828, 18362, 532, 3980, 19293, 236764, 840, 56856, 51239, 1208, 236743, 236770, 236771, 236771, 236767, 573, 633, 2237, 236761, 3792, 236858, 236751, 1460, 1144, 236858, 236751, 120306, 580, 42641, 496, 73565, 236858, 236751, 16103, 98886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 826, 1507, 1083, 78493, 173735, 236779, 547, 1083, 623, 6552, 236770, 236778, 236800, 236812, 236810, 827, 623, 3704, 1083, 236743, 236770, 236819, 236825, 236810, 236764, 623, 9636, 1083, 623, 52111, 827, 623, 4368, 1083, 623, 15545, 698, 827, 623, 4002, 236779, 19330, 1083, 236743, 236812, 236828, 236771, 236771, 236771, 236764, 623, 33432, 676, 1083, 236743, 236828, 236819, 236771, 236771, 236771, 236764, 623, 19072, 1083, 623, 236810, 236761, 236771, 236798, 782, 236828, 827, 623, 3250, 1083, 623, 39446, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 173735, 236779, 547, 1083, 623, 6552, 236825, 236832, 236828, 236819, 236771, 827, 623, 3704, 1083, 236743, 236770, 236819, 236825, 236825, 236764, 623, 9636, 1083, 623, 52111, 827, 623, 4368, 1083, 623, 28118, 204105, 236743, 236810, 236771, 236771, 827, 623, 4002, 236779, 19330, 1083, 236743, 236810, 236778, 236771, 236771, 236771, 236764, 623, 33432, 676, 1083, 236743, 236770, 236770, 236778, 236771, 236771, 236771, 236764, 623, 19072, 1083, 623, 236832, 236761, 236771, 236798, 782, 236828, 827, 623, 3250, 1083, 623, 39446, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 173735, 236779, 547, 1083, 623, 6552, 236770, 236770, 236778, 236778, 236800, 827, 623, 3704, 1083, 236743, 236770, 236819, 236825, 236832, 236764, 623, 9636, 1083, 623, 52111, 827, 623, 4368, 1083, 623, 15545, 698, 827, 623, 4002, 236779, 19330, 1083, 236743, 236800, 236819, 236771, 236771, 236771, 236764, 623, 33432, 676, 1083, 236743, 236832, 236810, 236771, 236771, 236771, 236764, 623, 19072, 1083, 623, 236812, 236761, 236832, 236798, 782, 236828, 827, 623, 3250, 1083, 623, 39446, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236778, 236770, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 28881, 236779, 103411, 1083, 3714, 19072, 1083, 623, 236847, 236828, 827, 623, 3250, 1083, 623, 39446, 827, 623, 33432, 676, 236779, 2074, 1083, 236743, 236770, 236771, 236771, 236771, 236771, 236771, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 826, 1507, 1083, 78493, 173735, 236779, 547, 1083, 623, 6552, 236770, 236778, 236800, 236812, 236810, 827, 623, 41239, 1083, 3714, 3704, 1083, 236743, 236770, 236819, 236825, 236812, 236764, 623, 9636, 1083, 623, 52111, 827, 623, 4368, 1083, 623, 28118, 204105, 236743, 236810, 236771, 236771, 827, 623, 19072, 1083, 623, 236812, 236778, 236828, 1287, 782, 236828, 827, 623, 33432, 676, 1083, 236743, 236828, 236810, 236825, 236771, 236771, 236764, 623, 3250, 236779, 4818, 1083, 623, 39446, 827, 623, 149603, 1083, 623, 78850, 23179, 623, 4002, 236779, 19330, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236764, 623, 19330, 236779, 2861, 1083, 236743, 236778, 236800, 236764, 623, 173735, 236779, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236778, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 40990, 28747, 5624, 236761, 854, 236786, 173735, 236786, 6552, 236770, 236778, 236800, 236812, 236810, 23179, 3714, 173735, 236779, 547, 1083, 623, 6552, 236825, 236832, 236828, 236819, 236771, 827, 623, 41239, 1083, 3714, 3704, 1083, 236743, 236770, 236819, 236825, 236825, 236764, 623, 9636, 1083, 623, 52111, 827, 623, 4368, 1083, 623, 28118, 204105, 236743, 236810, 236771, 236771, 827, 623, 19072, 1083, 623, 236812, 236778, 236832, 1287, 782, 236828, 827, 623, 33432, 676, 1083, 236743, 236819, 236778, 236812, 236771, 236771, 236764, 623, 3250, 236779, 4818, 1083, 623, 39446, 827, 623, 149603, 1083, 623, 79050, 23179, 623, 4002, 236779, 19330, 1083, 236743, 236812, 236828, 236771, 236771, 236771, 236764, 623, 19330, 236779, 2861, 1083, 236743, 236800, 236770, 236764, 623, 173735, 236779, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236825, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 40990, 28747, 5624, 236761, 854, 236786, 173735, 236786, 6552, 236825, 236832, 236828, 236819, 236771, 25938, 1604, 623, 28881, 236779, 103411, 1083, 3714, 19072, 236779, 2084, 1083, 623, 236847, 236828, 827, 623, 3250, 236779, 4818, 1083, 623, 39446, 827, 623, 33432, 676, 236779, 2074, 1083, 236743, 236770, 236771, 236771, 236771, 236771, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 10448, 16074, 532, 12396, 236787, 108, 1018, 73319, 64608, 148526, 573, 236743, 236770, 236819, 236825, 236810, 63697, 15827, 3814, 18236, 1018, 138, 107, 236772, 35868, 1076, 657, 609, 236810, 236771, 236764, 236771, 236771, 236771, 14272, 138, 107, 236772, 14040, 13700, 236787, 609, 236812, 236810, 236764, 236771, 236771, 236771, 568, 173735, 10842, 5365, 236743, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 108, 7243, 108, 1018, 52111, 79916, 50267, 568, 236770, 236819, 236825, 236812, 236772, 236770, 236819, 236825, 236832, 236768, 114653, 41183, 53121, 138, 107, 236770, 236761, 5213, 236770, 236819, 236825, 236810, 16103, 80817, 1018, 138, 107, 139, 236772, 7850, 236787, 236743, 236810, 236761, 236771, 236798, 782, 236828, 138, 107, 139, 236772, 227012, 236787, 236743, 236828, 236819, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 14040, 51936, 236787, 609, 236812, 236828, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 89273, 8006, 236787, 5142, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236778, 236761, 5213, 236770, 236819, 236825, 236832, 16103, 80817, 1018, 138, 107, 139, 236772, 7850, 236787, 236743, 236812, 236761, 236832, 236798, 782, 236828, 138, 107, 139, 236772, 227012, 236787, 236743, 236832, 236810, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 14040, 51936, 236787, 609, 236800, 236819, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 89273, 8006, 236787, 5142, 236743, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236800, 236761, 5213, 236770, 236819, 236825, 236812, 16103, 8833, 204105, 236743, 236810, 236771, 236771, 1018, 138, 107, 139, 236772, 7850, 236787, 236743, 236812, 236778, 236828, 1287, 782, 236828, 138, 107, 139, 236772, 227012, 236787, 236743, 236828, 236810, 236764, 236825, 236771, 236771, 138, 107, 139, 236772, 14040, 51936, 236787, 609, 236812, 236810, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 89273, 8006, 236787, 5261, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236812, 236761, 5213, 236770, 236819, 236825, 236825, 16103, 8833, 204105, 236743, 236810, 236771, 236771, 1018, 138, 107, 139, 236772, 7850, 236787, 236743, 236812, 236778, 236832, 1287, 782, 236828, 138, 107, 139, 236772, 227012, 236787, 236743, 236819, 236778, 236764, 236812, 236771, 236771, 138, 107, 139, 236772, 14040, 51936, 236787, 609, 236812, 236828, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 89273, 8006, 236787, 5261, 236743, 236778, 236825, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 1018, 35434, 53121, 138, 107, 236772, 669, 15827, 3814, 18236, 7474, 506, 1346, 17075, 5086, 657, 609, 236812, 236810, 236764, 236771, 236771, 236771, 568, 814, 2793, 236768, 607, 1061, 236743, 236800, 236778, 236832, 782, 236828, 138, 107, 236772, 16103, 236789, 236751, 236743, 236812, 236778, 236832, 236786, 236812, 236778, 236828, 1287, 8833, 204105, 18362, 2729, 12132, 22367, 840, 3715, 6527, 138, 107, 236772, 669, 236743, 236770, 236819, 236825, 236832, 80817, 9282, 506, 1791, 1550, 1208, 609, 236812, 236771, 236767, 607, 3188, 782, 236828, 2066, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 4140, 13700, 16074, 573, 1027, 16103, 3835, 236881, 138, 107, 236778, 236761, 44906, 3530, 55455, 1534, 506, 15827, 3814, 532, 496, 16103, 2028, 236881, 138, 107, 236800, 236761, 26295, 25659, 4588, 6376, 532, 5039, 12496, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 10769, 506, 236743, 236770, 236819, 236825, 236810, 15827, 3814, 18236, 607, 506, 236743, 236770, 236819, 236825, 236832, 80817, 237028, 5690, 236772, 2003, 236772, 5690, 236764, 15285, 236772, 2003, 236772, 63811, 236761, 564, 1461, 531, 1460, 837, 886, 5021, 786, 919, 20191, 573, 506, 13042, 2180, 94437, 21016, 236761, 6542, 236764, 1076, 872, 13700, 16074, 573, 506, 236743, 236770, 236819, 236825, 236832, 80817, 657, 609, 236812, 236778, 236767, 236793, 768, 625, 57952, 3068, 600, 236764, 564, 236858, 859, 35213, 634, 236761, 669, 211149, 659, 70852, 607, 1724, 2563, 18362, 236764, 840, 564, 1537, 236858, 236745, 1461, 531, 10161, 1041, 7715, 2311, 11202, 236761, 17608, 786, 10448, 6376, 580, 1800, 98886, 237028, 1005, 51679, 768, 506, 51682, 9212, 236764, 532, 496, 12323, 1418, 236743, 236812, 236828, 3885, 236761, 7062, 236764, 532, 2426, 768, 506, 15827, 3814, 236858, 236751, 54596, 2258, 563, 496, 3772, 236772, 29822, 653, 768, 564, 236858, 236757, 1024, 1111, 14803, 72441, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 826, 1507, 1083, 78493, 173735, 236779, 547, 1083, 623, 112172, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 41239, 1083, 3714, 9636, 1083, 623, 135001, 827, 623, 4368, 1083, 623, 23790, 3814, 18236, 827, 623, 3704, 1083, 236743, 236770, 236819, 236825, 236810, 236764, 623, 3001, 1083, 623, 30727, 40759, 827, 623, 10383, 1083, 623, 88645, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 54283, 827, 623, 33432, 676, 1083, 236743, 236832, 236828, 236771, 236771, 236771, 1263, 623, 4002, 236779, 19330, 1083, 6610, 236800, 236828, 236764, 236810, 236771, 236771, 827, 623, 2289, 236779, 54023, 1083, 623, 236778, 2668, 236743, 236770, 236812, 3885, 827, 623, 2451, 1083, 623, 2574, 1411, 40990, 28747, 5624, 236761, 854, 236786, 173735, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 23179, 3714, 173735, 236779, 547, 1083, 623, 112172, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 41239, 1083, 3714, 9636, 1083, 623, 135001, 827, 623, 4368, 1083, 623, 23790, 3814, 18236, 827, 623, 3704, 1083, 236743, 236770, 236819, 236825, 236812, 236764, 623, 3001, 1083, 623, 6907, 827, 623, 10383, 1083, 623, 88645, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 31348, 827, 623, 33432, 676, 1083, 236743, 236819, 236778, 236771, 236771, 236771, 1263, 623, 4002, 236779, 19330, 1083, 6610, 236800, 236812, 236764, 236778, 236771, 236771, 827, 623, 2289, 236779, 54023, 1083, 623, 236770, 1719, 236743, 236828, 3885, 827, 623, 2451, 1083, 623, 2574, 1411, 40990, 28747, 5624, 236761, 854, 236786, 173735, 236786, 236825, 236810, 236812, 236800, 236778, 236770, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 1018, 53377, 236787, 236743, 236770, 236819, 236825, 236810, 63697, 15827, 3814, 18236, 7728, 236761, 236743, 236770, 236819, 236825, 236832, 16103, 80817, 1018, 138, 107, 236909, 5213, 12962, 1018, 143, 236909, 5213, 236770, 236819, 236825, 236810, 15827, 3814, 18236, 1018, 162, 236909, 5213, 236770, 236819, 236825, 236832, 80817, 1018, 162, 236909, 107, 236909, 2819, 30104, 236909, 2819, 2819, 43386, 236909, 2819, 2819, 40673, 236909, 107, 236909, 5213, 14525, 1018, 146, 236909, 236743, 236800, 236778, 236832, 1287, 782, 236828, 568, 236810, 236761, 236812, 236798, 236768, 165, 236909, 236743, 236812, 236761, 236832, 236798, 782, 236828, 568, 236778, 236828, 236819, 1287, 236768, 163, 236909, 107, 236909, 5213, 136088, 1018, 145, 236909, 236743, 236770, 236770, 236771, 236764, 236771, 236771, 236771, 167, 142, 236909, 236743, 236832, 236810, 236764, 236771, 236771, 236771, 167, 141, 236909, 107, 236909, 5213, 8782, 51936, 1018, 141, 236909, 5213, 236795, 236812, 236810, 236764, 236771, 236771, 236771, 1018, 568, 16023, 657, 609, 236810, 236771, 236767, 236768, 153, 236909, 5213, 236795, 236800, 236819, 236764, 236771, 236771, 236771, 1018, 568, 141160, 657, 609, 236812, 236778, 236767, 14272, 236768, 139, 236909, 107, 236909, 5213, 160347, 8006, 1018, 141, 236909, 5365, 236743, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 166, 236909, 5142, 236743, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 165, 236909, 107, 236909, 5213, 3484, 1018, 147, 236909, 90765, 199400, 568, 11088, 14223, 525, 12056, 236768, 144, 236909, 1286, 55423, 568, 30466, 203085, 4547, 236768, 143, 236909, 107, 236909, 5213, 7396, 18365, 1018, 140, 236909, 20840, 167, 144, 236909, 20840, 167, 142, 236909, 107, 236909, 5213, 112239, 2109, 1018, 141, 236909, 34474, 51239, 840, 22799, 782, 236828, 152, 236909, 26959, 51239, 236764, 919, 4532, 782, 236828, 149, 236909, 108, 7243, 108, 1018, 73319, 64608, 833, 165731, 1018, 138, 107, 236772, 5213, 236770, 236819, 236825, 236832, 80817, 66515, 35868, 1076, 657, 609, 236812, 236778, 236764, 236771, 236771, 236771, 568, 4002, 13700, 236787, 609, 236800, 236819, 236764, 236771, 236771, 236771, 236768, 138, 107, 236772, 5213, 42362, 47203, 66515, 10508, 98886, 795, 577, 34446, 573, 13700, 3731, 236764, 607, 92681, 1418, 236743, 236812, 236828, 3885, 236761, 138, 107, 236772, 5213, 3484, 13768, 66515, 669, 15827, 3814, 236858, 236751, 54596, 9009, 563, 496, 8401, 236764, 6933, 236772, 15396, 2258, 600, 1451, 14051, 102597, 653, 1407, 1550, 236764, 840, 625, 236858, 236751, 44539, 236761, 1637, 21016, 563, 506, 13546, 236764, 506, 80817, 236858, 236751, 3718, 51239, 82347, 1061, 7100, 3958, 236761, 138, 108, 1018, 9272, 50228, 1018, 138, 107, 236770, 236761, 21284, 611, 1133, 531, 10769, 506, 15827, 3814, 18236, 531, 506, 236743, 236770, 236819, 236825, 236812, 8833, 204105, 236743, 236810, 236771, 236771, 568, 236812, 236778, 236828, 1287, 782, 236828, 236764, 609, 236812, 236810, 236767, 13700, 236768, 5205, 236881, 138, 107, 236778, 236761, 35593, 13700, 16074, 64470, 236881, 138, 107, 236800, 236761, 27468, 496, 32272, 573, 506, 15827, 3814, 236858, 236751, 25659, 1345, 568, 30651, 236743, 236770, 236819, 20625, 138, 108, 6481, 786, 1281, 1217, 611, 236858, 236753, 1133, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12498, 236764, 564, 1202, 611, 531, 2426, 2613, 573, 786, 236761, 564, 236858, 236757, 3182, 531, 1138, 496, 9760, 11881, 531, 1041, 5249, 237028, 44784, 600, 11747, 15005, 657, 506, 3399, 3988, 236858, 236751, 4749, 236761, 9187, 684, 26231, 872, 784, 1873, 808, 135001, 236829, 98886, 580, 42641, 496, 73565, 236761, 564, 236858, 560, 2506, 496, 3538, 7075, 573, 11103, 9371, 236764, 840, 564, 1461, 531, 1460, 1144, 236858, 236751, 855, 993, 1171, 236761, 9920, 692, 236858, 560, 2506, 506, 1694, 236764, 692, 236858, 859, 12019, 625, 1679, 531, 15827, 49030, 699, 506, 2141, 236825, 236771, 236751, 236761, 3792, 236858, 236751, 1386, 2889, 625, 236858, 236751, 2506, 496, 782, 236828, 3958, 532, 496, 3980, 3822, 236761, 7062, 236764, 532, 2514, 614, 7068, 580, 506, 13700, 12136, 237028, 13246, 236858, 236745, 1461, 531, 2541, 506, 4856, 236764, 840, 564, 236858, 859, 2350, 5888, 573, 506, 1447, 6347, 529, 4083, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 826, 1507, 1083, 78493, 41239, 1083, 3714, 3704, 1083, 236743, 236770, 236819, 236825, 236819, 236764, 623, 4368, 1083, 623, 29256, 8404, 18236, 827, 623, 18330, 1083, 623, 236800, 236819, 236825, 782, 236828, 827, 623, 3001, 1083, 623, 123863, 1716, 23770, 827, 623, 33432, 676, 1083, 236743, 236832, 236828, 236810, 236771, 236771, 236764, 623, 3250, 236779, 4818, 1083, 623, 39446, 23179, 623, 4002, 236779, 19330, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 236764, 623, 173735, 236779, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236828, 236774, 236778, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 41239, 1083, 3714, 3704, 1083, 236743, 236770, 236819, 236832, 236771, 236764, 623, 4368, 1083, 623, 5239, 23451, 148623, 827, 623, 18330, 1083, 623, 236812, 236810, 236812, 782, 236828, 827, 623, 3001, 1083, 623, 236774, 1939, 49325, 5561, 827, 623, 33432, 676, 1083, 236743, 236819, 236778, 236771, 236771, 236771, 236764, 623, 3250, 236779, 4818, 1083, 623, 39446, 23179, 623, 4002, 236779, 19330, 1083, 236743, 236800, 236778, 236810, 236771, 236771, 236764, 623, 173735, 236779, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236778, 236771, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 41239, 1083, 3714, 3704, 1083, 236743, 236770, 236819, 236825, 236810, 236764, 623, 4368, 1083, 623, 23790, 3814, 18236, 827, 623, 18330, 1083, 623, 236800, 236778, 236832, 782, 236828, 827, 623, 3001, 1083, 623, 213722, 199400, 827, 623, 33432, 676, 1083, 236743, 236770, 236770, 236771, 236771, 236771, 236771, 236764, 623, 3250, 236779, 4818, 1083, 623, 39446, 23179, 623, 4002, 236779, 19330, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236764, 623, 173735, 236779, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236819, 236774, 236778, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 63697, 98886, 16590, 822, 13138, 236787, 108, 1018, 236770, 236819, 236825, 236810, 63697, 15827, 3814, 18236, 1018, 138, 107, 236772, 7850, 236787, 236743, 236800, 236778, 236832, 782, 236828, 138, 107, 236772, 8040, 236787, 90765, 199400, 138, 107, 236772, 227012, 236787, 236743, 236770, 236770, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 17310, 18365, 236787, 20840, 138, 107, 236772, 14040, 51936, 236787, 609, 236812, 236810, 236764, 236771, 236771, 236771, 138, 107, 236772, 89273, 121016, 236787, 5365, 236743, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 568, 236770, 236771, 236787, 236770, 236810, 8711, 59528, 236768, 138, 108, 2094, 563, 506, 1186, 236743, 236770, 236819, 236825, 236771, 236751, 15827, 3814, 5633, 9456, 607, 496, 782, 236828, 3958, 532, 3980, 3822, 236761, 8512, 1032, 24786, 63697, 11103, 9371, 659, 992, 5158, 236787, 138, 107, 236772, 5213, 236770, 236819, 236825, 236819, 179328, 18236, 1018, 568, 236800, 236819, 236825, 782, 236828, 236764, 609, 236778, 236810, 236764, 236771, 236771, 236771, 13700, 236768, 138, 107, 236772, 5213, 236770, 236819, 236832, 236771, 2935, 23451, 148623, 1018, 568, 236812, 236810, 236812, 782, 236828, 236764, 609, 236800, 236778, 236764, 236810, 236771, 236771, 13700, 236768, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 51239, 236764, 2258, 24104, 236768, 653, 2847, 13700, 16074, 573, 506, 15827, 3814, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 1076, 872, 13700, 16074, 573, 600, 236743, 236770, 236819, 236825, 236810, 15827, 3814, 18236, 236761, 564, 1461, 51679, 768, 506, 13700, 38167, 3068, 609, 236810, 236771, 236767, 237028, 236777, 1537, 236858, 236745, 1461, 531, 1024, 22693, 236764, 840, 564, 236858, 859, 6093, 573, 496, 3980, 236772, 3250, 782, 236828, 607, 1724, 55455, 236761, 6542, 236764, 2426, 768, 993, 659, 1027, 808, 52111, 236829, 11103, 9371, 699, 506, 1638, 6933, 568, 15545, 48346, 236764, 211149, 236768, 607, 3361, 13138, 236761, 564, 236858, 236757, 55587, 8797, 93476, 236764, 840, 564, 236858, 859, 4196, 1932, 768, 496, 16103, 5469, 2480, 1550, 236761, 17608, 506, 18774, 580, 782, 236828, 18362, 532, 3980, 19293, 236764, 840, 56856, 51239, 1208, 236743, 236770, 236771, 236771, 236767, 573, 633, 2237, 236761, 3792, 236858, 236751, 1460, 1144, 236858, 236751, 120306, 580, 42641, 496, 73565, 236858, 236751, 16103, 98886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 826, 1507, 1083, 78493, 173735, 236779, 547, 1083, 623, 6552, 236770, 236778, 236800, 236812, 236810, 827, 623, 3704, 1083, 236743, 236770, 236819, 236825, 236810, 236764, 623, 9636, 1083, 623, 52111, 827, 623, 4368, 1083, 623, 15545, 698, 827, 623, 4002, 236779, 19330, 1083, 236743, 236812, 236828, 236771, 236771, 236771, 236764, 623, 33432, 676, 1083, 236743, 236828, 236819, 236771, 236771, 236771, 236764, 623, 19072, 1083, 623, 236810, 236761, 236771, 236798, 782, 236828, 827, 623, 3250, 1083, 623, 39446, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236778, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 173735, 236779, 547, 1083, 623, 6552, 236825, 236832, 236828, 236819, 236771, 827, 623, 3704, 1083, 236743, 236770, 236819, 236825, 236825, 236764, 623, 9636, 1083, 623, 52111, 827, 623, 4368, 1083, 623, 28118, 204105, 236743, 236810, 236771, 236771, 827, 623, 4002, 236779, 19330, 1083, 236743, 236810, 236778, 236771, 236771, 236771, 236764, 623, 33432, 676, 1083, 236743, 236770, 236770, 236778, 236771, 236771, 236771, 236764, 623, 19072, 1083, 623, 236832, 236761, 236771, 236798, 782, 236828, 827, 623, 3250, 1083, 623, 39446, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236778, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 173735, 236779, 547, 1083, 623, 6552, 236770, 236770, 236778, 236778, 236800, 827, 623, 3704, 1083, 236743, 236770, 236819, 236825, 236832, 236764, 623, 9636, 1083, 623, 52111, 827, 623, 4368, 1083, 623, 15545, 698, 827, 623, 4002, 236779, 19330, 1083, 236743, 236800, 236819, 236771, 236771, 236771, 236764, 623, 33432, 676, 1083, 236743, 236832, 236810, 236771, 236771, 236771, 236764, 623, 19072, 1083, 623, 236812, 236761, 236832, 236798, 782, 236828, 827, 623, 3250, 1083, 623, 39446, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 236774, 236778, 236770, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 28881, 236779, 103411, 1083, 3714, 19072, 1083, 623, 236847, 236828, 827, 623, 3250, 1083, 623, 39446, 827, 623, 33432, 676, 236779, 2074, 1083, 236743, 236770, 236771, 236771, 236771, 236771, 236771, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 826, 1507, 1083, 78493, 173735, 236779, 547, 1083, 623, 6552, 236770, 236778, 236800, 236812, 236810, 827, 623, 41239, 1083, 3714, 3704, 1083, 236743, 236770, 236819, 236825, 236812, 236764, 623, 9636, 1083, 623, 52111, 827, 623, 4368, 1083, 623, 28118, 204105, 236743, 236810, 236771, 236771, 827, 623, 19072, 1083, 623, 236812, 236778, 236828, 1287, 782, 236828, 827, 623, 33432, 676, 1083, 236743, 236828, 236810, 236825, 236771, 236771, 236764, 623, 3250, 236779, 4818, 1083, 623, 39446, 827, 623, 149603, 1083, 623, 78850, 23179, 623, 4002, 236779, 19330, 1083, 236743, 236812, 236810, 236771, 236771, 236771, 236764, 623, 19330, 236779, 2861, 1083, 236743, 236778, 236800, 236764, 623, 173735, 236779, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236778, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 40990, 28747, 5624, 236761, 854, 236786, 173735, 236786, 6552, 236770, 236778, 236800, 236812, 236810, 23179, 3714, 173735, 236779, 547, 1083, 623, 6552, 236825, 236832, 236828, 236819, 236771, 827, 623, 41239, 1083, 3714, 3704, 1083, 236743, 236770, 236819, 236825, 236825, 236764, 623, 9636, 1083, 623, 52111, 827, 623, 4368, 1083, 623, 28118, 204105, 236743, 236810, 236771, 236771, 827, 623, 19072, 1083, 623, 236812, 236778, 236832, 1287, 782, 236828, 827, 623, 33432, 676, 1083, 236743, 236819, 236778, 236812, 236771, 236771, 236764, 623, 3250, 236779, 4818, 1083, 623, 39446, 827, 623, 149603, 1083, 623, 79050, 23179, 623, 4002, 236779, 19330, 1083, 236743, 236812, 236828, 236771, 236771, 236771, 236764, 623, 19330, 236779, 2861, 1083, 236743, 236800, 236770, 236764, 623, 173735, 236779, 643, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236825, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 40990, 28747, 5624, 236761, 854, 236786, 173735, 236786, 6552, 236825, 236832, 236828, 236819, 236771, 25938, 1604, 623, 28881, 236779, 103411, 1083, 3714, 19072, 236779, 2084, 1083, 623, 236847, 236828, 827, 623, 3250, 236779, 4818, 1083, 623, 39446, 827, 623, 33432, 676, 236779, 2074, 1083, 236743, 236770, 236771, 236771, 236771, 236771, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 10448, 16074, 532, 12396, 236787, 108, 1018, 73319, 64608, 148526, 573, 236743, 236770, 236819, 236825, 236810, 63697, 15827, 3814, 18236, 1018, 138, 107, 236772, 35868, 1076, 657, 609, 236810, 236771, 236764, 236771, 236771, 236771, 14272, 138, 107, 236772, 14040, 13700, 236787, 609, 236812, 236810, 236764, 236771, 236771, 236771, 568, 173735, 10842, 5365, 236743, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 108, 7243, 108, 1018, 52111, 79916, 50267, 568, 236770, 236819, 236825, 236812, 236772, 236770, 236819, 236825, 236832, 236768, 114653, 41183, 53121, 138, 107, 236770, 236761, 5213, 236770, 236819, 236825, 236810, 16103, 80817, 1018, 138, 107, 139, 236772, 7850, 236787, 236743, 236810, 236761, 236771, 236798, 782, 236828, 138, 107, 139, 236772, 227012, 236787, 236743, 236828, 236819, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 14040, 51936, 236787, 609, 236812, 236828, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 89273, 8006, 236787, 5142, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236778, 236761, 5213, 236770, 236819, 236825, 236832, 16103, 80817, 1018, 138, 107, 139, 236772, 7850, 236787, 236743, 236812, 236761, 236832, 236798, 782, 236828, 138, 107, 139, 236772, 227012, 236787, 236743, 236832, 236810, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 14040, 51936, 236787, 609, 236800, 236819, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 89273, 8006, 236787, 5142, 236743, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236800, 236761, 5213, 236770, 236819, 236825, 236812, 16103, 8833, 204105, 236743, 236810, 236771, 236771, 1018, 138, 107, 139, 236772, 7850, 236787, 236743, 236812, 236778, 236828, 1287, 782, 236828, 138, 107, 139, 236772, 227012, 236787, 236743, 236828, 236810, 236764, 236825, 236771, 236771, 138, 107, 139, 236772, 14040, 51936, 236787, 609, 236812, 236810, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 89273, 8006, 236787, 5261, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236812, 236761, 5213, 236770, 236819, 236825, 236825, 16103, 8833, 204105, 236743, 236810, 236771, 236771, 1018, 138, 107, 139, 236772, 7850, 236787, 236743, 236812, 236778, 236832, 1287, 782, 236828, 138, 107, 139, 236772, 227012, 236787, 236743, 236819, 236778, 236764, 236812, 236771, 236771, 138, 107, 139, 236772, 14040, 51936, 236787, 609, 236812, 236828, 236764, 236771, 236771, 236771, 138, 107, 139, 236772, 89273, 8006, 236787, 5261, 236743, 236778, 236825, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 1018, 35434, 53121, 138, 107, 236772, 669, 15827, 3814, 18236, 7474, 506, 1346, 17075, 5086, 657, 609, 236812, 236810, 236764, 236771, 236771, 236771, 568, 814, 2793, 236768, 607, 1061, 236743, 236800, 236778, 236832, 782, 236828, 138, 107, 236772, 16103, 236789, 236751, 236743, 236812, 236778, 236832, 236786, 236812, 236778, 236828, 1287, 8833, 204105, 18362, 2729, 12132, 22367, 840, 3715, 6527, 138, 107, 236772, 669, 236743, 236770, 236819, 236825, 236832, 80817, 9282, 506, 1791, 1550, 1208, 609, 236812, 236771, 236767, 607, 3188, 782, 236828, 2066, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 4140, 13700, 16074, 573, 1027, 16103, 3835, 236881, 138, 107, 236778, 236761, 44906, 3530, 55455, 1534, 506, 15827, 3814, 532, 496, 16103, 2028, 236881, 138, 107, 236800, 236761, 26295, 25659, 4588, 6376, 532, 5039, 12496, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 10769, 506, 236743, 236770, 236819, 236825, 236810, 15827, 3814, 18236, 607, 506, 236743, 236770, 236819, 236825, 236832, 80817, 237028, 5690, 236772, 2003, 236772, 5690, 236764, 15285, 236772, 2003, 236772, 63811, 236761, 564, 1461, 531, 1460, 837, 886, 5021, 786, 919, 20191, 573, 506, 13042, 2180, 94437, 21016, 236761, 6542, 236764, 1076, 872, 13700, 16074, 573, 506, 236743, 236770, 236819, 236825, 236832, 80817, 657, 609, 236812, 236778, 236767, 236793, 768, 625, 57952, 3068, 600, 236764, 564, 236858, 859, 35213, 634, 236761, 669, 211149, 659, 70852, 607, 1724, 2563, 18362, 236764, 840, 564, 1537, 236858, 236745, 1461, 531, 10161, 1041, 7715, 2311, 11202, 236761, 17608, 786, 10448, 6376, 580, 1800, 98886, 237028, 1005, 51679, 768, 506, 51682, 9212, 236764, 532, 496, 12323, 1418, 236743, 236812, 236828, 3885, 236761, 7062, 236764, 532, 2426, 768, 506, 15827, 3814, 236858, 236751, 54596, 2258, 563, 496, 3772, 236772, 29822, 653, 768, 564, 236858, 236757, 1024, 1111, 14803, 72441, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 826, 1507, 1083, 78493, 173735, 236779, 547, 1083, 623, 112172, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 41239, 1083, 3714, 9636, 1083, 623, 135001, 827, 623, 4368, 1083, 623, 23790, 3814, 18236, 827, 623, 3704, 1083, 236743, 236770, 236819, 236825, 236810, 236764, 623, 3001, 1083, 623, 30727, 40759, 827, 623, 10383, 1083, 623, 88645, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 54283, 827, 623, 33432, 676, 1083, 236743, 236832, 236828, 236771, 236771, 236771, 1263, 623, 4002, 236779, 19330, 1083, 6610, 236800, 236828, 236764, 236810, 236771, 236771, 827, 623, 2289, 236779, 54023, 1083, 623, 236778, 2668, 236743, 236770, 236812, 3885, 827, 623, 2451, 1083, 623, 2574, 1411, 40990, 28747, 5624, 236761, 854, 236786, 173735, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 23179, 3714, 173735, 236779, 547, 1083, 623, 112172, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 41239, 1083, 3714, 9636, 1083, 623, 135001, 827, 623, 4368, 1083, 623, 23790, 3814, 18236, 827, 623, 3704, 1083, 236743, 236770, 236819, 236825, 236812, 236764, 623, 3001, 1083, 623, 6907, 827, 623, 10383, 1083, 623, 88645, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 31348, 827, 623, 33432, 676, 1083, 236743, 236819, 236778, 236771, 236771, 236771, 1263, 623, 4002, 236779, 19330, 1083, 6610, 236800, 236812, 236764, 236778, 236771, 236771, 827, 623, 2289, 236779, 54023, 1083, 623, 236770, 1719, 236743, 236828, 3885, 827, 623, 2451, 1083, 623, 2574, 1411, 40990, 28747, 5624, 236761, 854, 236786, 173735, 236786, 236825, 236810, 236812, 236800, 236778, 236770, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 1018, 53377, 236787, 236743, 236770, 236819, 236825, 236810, 63697, 15827, 3814, 18236, 7728, 236761, 236743, 236770, 236819, 236825, 236832, 16103, 80817, 1018, 138, 107, 236909, 5213, 12962, 1018, 143, 236909, 5213, 236770, 236819, 236825, 236810, 15827, 3814, 18236, 1018, 162, 236909, 5213, 236770, 236819, 236825, 236832, 80817, 1018, 162, 236909, 107, 236909, 2819, 30104, 236909, 2819, 2819, 43386, 236909, 2819, 2819, 40673, 236909, 107, 236909, 5213, 14525, 1018, 146, 236909, 236743, 236800, 236778, 236832, 1287, 782, 236828, 568, 236810, 236761, 236812, 236798, 236768, 165, 236909, 236743, 236812, 236761, 236832, 236798, 782, 236828, 568, 236778, 236828, 236819, 1287, 236768, 163, 236909, 107, 236909, 5213, 136088, 1018, 145, 236909, 236743, 236770, 236770, 236771, 236764, 236771, 236771, 236771, 167, 142, 236909, 236743, 236832, 236810, 236764, 236771, 236771, 236771, 167, 141, 236909, 107, 236909, 5213, 8782, 51936, 1018, 141, 236909, 5213, 236795, 236812, 236810, 236764, 236771, 236771, 236771, 1018, 568, 16023, 657, 609, 236810, 236771, 236767, 236768, 153, 236909, 5213, 236795, 236800, 236819, 236764, 236771, 236771, 236771, 1018, 568, 141160, 657, 609, 236812, 236778, 236767, 14272, 236768, 139, 236909, 107, 236909, 5213, 160347, 8006, 1018, 141, 236909, 5365, 236743, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 166, 236909, 5142, 236743, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 165, 236909, 107, 236909, 5213, 3484, 1018, 147, 236909, 90765, 199400, 568, 11088, 14223, 525, 12056, 236768, 144, 236909, 1286, 55423, 568, 30466, 203085, 4547, 236768, 143, 236909, 107, 236909, 5213, 7396, 18365, 1018, 140, 236909, 20840, 167, 144, 236909, 20840, 167, 142, 236909, 107, 236909, 5213, 112239, 2109, 1018, 141, 236909, 34474, 51239, 840, 22799, 782, 236828, 152, 236909, 26959, 51239, 236764, 919, 4532, 782, 236828, 149, 236909, 108, 7243, 108, 1018, 73319, 64608, 833, 165731, 1018, 138, 107, 236772, 5213, 236770, 236819, 236825, 236832, 80817, 66515, 35868, 1076, 657, 609, 236812, 236778, 236764, 236771, 236771, 236771, 568, 4002, 13700, 236787, 609, 236800, 236819, 236764, 236771, 236771, 236771, 236768, 138, 107, 236772, 5213, 42362, 47203, 66515, 10508, 98886, 795, 577, 34446, 573, 13700, 3731, 236764, 607, 92681, 1418, 236743, 236812, 236828, 3885, 236761, 138, 107, 236772, 5213, 3484, 13768, 66515, 669, 15827, 3814, 236858, 236751, 54596, 9009, 563, 496, 8401, 236764, 6933, 236772, 15396, 2258, 600, 1451, 14051, 102597, 653, 1407, 1550, 236764, 840, 625, 236858, 236751, 44539, 236761, 1637, 21016, 563, 506, 13546, 236764, 506, 80817, 236858, 236751, 3718, 51239, 82347, 1061, 7100, 3958, 236761, 138, 108, 1018, 9272, 50228, 1018, 138, 107, 236770, 236761, 21284, 611, 1133, 531, 10769, 506, 15827, 3814, 18236, 531, 506, 236743, 236770, 236819, 236825, 236812, 8833, 204105, 236743, 236810, 236771, 236771, 568, 236812, 236778, 236828, 1287, 782, 236828, 236764, 609, 236812, 236810, 236767, 13700, 236768, 5205, 236881, 138, 107, 236778, 236761, 35593, 13700, 16074, 64470, 236881, 138, 107, 236800, 236761, 27468, 496, 32272, 573, 506, 15827, 3814, 236858, 236751, 25659, 1345, 568, 30651, 236743, 236770, 236819, 20625, 138, 108, 6481, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 7162, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 740, 611, 1601, 786, 9279, 1041, 74013, 236881, 106, 107, 105, 4368, 107, 49190, 236888, 2282, 9279, 822, 74013, 236764, 564, 1202, 822, 3825, 528, 82929, 532, 822, 3558, 528, 15930, 236761, 28344, 611, 5091, 2847, 1724, 4889, 236881, 106, 107, 105, 2364, 107, 49190, 236764, 564, 236789, 236757, 236743, 236810, 6172, 236743, 236770, 236771, 12371, 13030, 532, 19281, 236743, 236770, 236832, 236771, 15176, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132119, 1083, 236743, 236778, 236812, 236761, 236812, 236764, 623, 10618, 1083, 623, 7382, 3825, 25938, 106, 107, 105, 4368, 107, 11069, 74013, 563, 5213, 236778, 236812, 236761, 236812, 125546, 837, 16071, 1208, 506, 5213, 7382, 3825, 1018, 8038, 236761, 1174, 11387, 496, 7644, 3825, 573, 822, 3558, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 10686, 236888, 103453, 106, 107, 105, 2364, 107, 3689, 16038, 20720, 659, 993, 528, 506, 2590, 672, 1051, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 23179, 3714, 1201, 1083, 623, 44691, 36938, 6065, 13297, 236761, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 23179, 3714, 1201, 1083, 623, 18160, 11568, 236789, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236819, 23179, 3714, 1201, 1083, 623, 135831, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 23179, 3714, 1201, 1083, 623, 219550, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236812, 23179, 3714, 1201, 1083, 623, 63651, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236771, 236778, 23179, 3714, 1201, 1083, 623, 103591, 743, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236770, 236770, 23179, 3714, 1201, 1083, 623, 12879, 24502, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236778, 236828, 23179, 3714, 1201, 1083, 623, 35966, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236778, 236810, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 16038, 7933, 20720, 528, 506, 3640, 4184, 573, 5213, 236778, 236771, 236778, 236812, 66515, 108, 236772, 5213, 4199, 8799, 236789, 236751, 6156, 66515, 6027, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 44691, 36938, 6065, 13297, 236761, 6156, 66515, 6027, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 18160, 11568, 236789, 6156, 66515, 7250, 236743, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 135831, 6156, 66515, 3353, 236743, 236778, 236832, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 219550, 6156, 66515, 5505, 236743, 236812, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 63651, 6156, 66515, 5857, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 103591, 743, 6156, 66515, 6243, 236743, 236770, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 12879, 24502, 66515, 6243, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 35966, 6156, 66515, 6384, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 4889, 1003, 1027, 3530, 10940, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 740, 611, 1601, 786, 9279, 1041, 74013, 236881, 106, 107, 105, 4368, 107, 49190, 236888, 2282, 9279, 822, 74013, 236764, 564, 1202, 822, 3825, 528, 82929, 532, 822, 3558, 528, 15930, 236761, 28344, 611, 5091, 2847, 1724, 4889, 236881, 106, 107, 105, 2364, 107, 49190, 236764, 564, 236789, 236757, 236743, 236810, 6172, 236743, 236770, 236771, 12371, 13030, 532, 19281, 236743, 236770, 236832, 236771, 15176, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132119, 1083, 236743, 236778, 236812, 236761, 236812, 236764, 623, 10618, 1083, 623, 7382, 3825, 25938, 106, 107, 105, 4368, 107, 11069, 74013, 563, 5213, 236778, 236812, 236761, 236812, 125546, 837, 16071, 1208, 506, 5213, 7382, 3825, 1018, 8038, 236761, 1174, 11387, 496, 7644, 3825, 573, 822, 3558, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 10686, 236888, 103453, 106, 107, 105, 2364, 107, 3689, 16038, 20720, 659, 993, 528, 506, 2590, 672, 1051, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 23179, 3714, 1201, 1083, 623, 44691, 36938, 6065, 13297, 236761, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 23179, 3714, 1201, 1083, 623, 18160, 11568, 236789, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236819, 23179, 3714, 1201, 1083, 623, 135831, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 23179, 3714, 1201, 1083, 623, 219550, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236812, 23179, 3714, 1201, 1083, 623, 63651, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236771, 236778, 23179, 3714, 1201, 1083, 623, 103591, 743, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236770, 236770, 23179, 3714, 1201, 1083, 623, 12879, 24502, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236778, 236828, 23179, 3714, 1201, 1083, 623, 35966, 6156, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236778, 236810, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 16038, 7933, 20720, 528, 506, 3640, 4184, 573, 5213, 236778, 236771, 236778, 236812, 66515, 108, 236772, 5213, 4199, 8799, 236789, 236751, 6156, 66515, 6027, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 44691, 36938, 6065, 13297, 236761, 6156, 66515, 6027, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 18160, 11568, 236789, 6156, 66515, 7250, 236743, 236770, 236819, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 135831, 6156, 66515, 3353, 236743, 236778, 236832, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 219550, 6156, 66515, 5505, 236743, 236812, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 63651, 6156, 66515, 5857, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 103591, 743, 6156, 66515, 6243, 236743, 236770, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 12879, 24502, 66515, 6243, 236743, 236778, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 138, 107, 236772, 5213, 35966, 6156, 66515, 6384, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 4889, 1003, 1027, 3530, 10940, 236888, 204906, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236775, 17531, 993, 236888, 564, 236789, 560, 1010, 4875, 531, 974, 2480, 657, 135382, 1041, 24564, 24637, 657, 506, 7626, 23803, 607, 1041, 2612, 48041, 83073, 236761, 28344, 611, 1601, 786, 2619, 496, 31044, 531, 236772, 2320, 1694, 600, 5132, 236787, 236743, 236770, 236761, 3551, 8224, 5597, 23803, 24637, 568, 236828, 546, 236772, 236770, 236778, 3840, 236768, 236743, 236778, 236761, 59797, 2748, 11802, 573, 1041, 37909, 3797, 3491, 2148, 2297, 236743, 236800, 236761, 562, 32272, 531, 24036, 506, 7972, 21622, 657, 1041, 102016, 236789, 236751, 3155, 236743, 236812, 236761, 153025, 506, 2148, 2260, 5975, 5395, 573, 756, 2021, 45045, 496, 49499, 522, 18140, 236789, 564, 1461, 625, 2258, 236772, 90841, 684, 13546, 532, 607, 60991, 12657, 573, 1546, 3336, 236761, 7062, 236764, 532, 740, 625, 27674, 607, 1041, 5154, 14626, 7462, 46260, 4407, 1386, 236779, 25149, 236779, 2234, 5904, 607, 14626, 12434, 6137, 12016, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25149, 236779, 2234, 236779, 547, 1083, 623, 19193, 236778, 236771, 236778, 236810, 236771, 236825, 236770, 236810, 827, 623, 4818, 1083, 623, 40812, 827, 623, 4375, 1083, 623, 2021, 236772, 2320, 1694, 4464, 10428, 607, 13546, 2258, 236772, 45669, 532, 60991, 12657, 236761, 30467, 27674, 18544, 563, 711, 5633, 2487, 528, 672, 5904, 3567, 236764, 840, 822, 1694, 563, 5508, 531, 577, 24473, 25985, 1131, 1346, 14626, 13283, 1781, 236783, 106, 107, 105, 4368, 107, 11069, 531, 236772, 2320, 1694, 568, 1735, 236787, 34147, 236778, 236771, 236778, 236810, 236771, 236825, 236770, 236810, 236768, 815, 1010, 4464, 607, 236787, 107, 240732, 8040, 236772, 90841, 28304, 568, 1192, 236786, 23861, 111730, 573, 7426, 16074, 236768, 107, 240732, 13287, 60991, 12657, 573, 1546, 3336, 107, 240732, 195612, 53892, 573, 3735, 5154, 122499, 108, 10282, 236787, 30467, 194612, 5889, 236789, 236745, 8008, 528, 672, 5904, 3567, 236764, 840, 611, 740, 236787, 107, 236770, 236761, 12774, 496, 27234, 529, 506, 1694, 573, 822, 5154, 107, 236778, 236761, 2599, 1755, 1138, 506, 53552, 4749, 531, 822, 14626, 850, 107, 236800, 236761, 6890, 506, 1694, 5853, 568, 19193, 236778, 236771, 236778, 236810, 236771, 236825, 236770, 236810, 236768, 531, 5577, 3209, 768, 12496, 659, 4354, 108, 38786, 611, 1133, 786, 531, 3600, 3530, 14626, 13283, 600, 981, 1388, 607, 12040, 23163, 236764, 653, 6253, 1027, 4209, 4889, 236881, 106, 107, 105, 2364, 107, 236775, 12879, 573, 506, 1694, 236888, 5612, 692, 740, 236789, 236745, 27674, 625, 5467, 236764, 1451, 611, 100257, 506, 756, 51462, 82801, 236789, 3336, 531, 3204, 3530, 990, 26870, 236881, 1701, 2591, 236764, 9918, 625, 1131, 236743, 236800, 236771, 236772, 20353, 20875, 6250, 657, 236743, 236825, 236787, 236800, 236771, 8711, 1546, 2069, 9467, 236761, 6542, 236764, 740, 611, 1138, 496, 53552, 32272, 531, 2426, 506, 64026, 75451, 48745, 1416, 236789, 10368, 573, 2290, 2668, 236881, 564, 1461, 531, 1386, 2889, 564, 1537, 236858, 236745, 4305, 910, 184820, 1056, 6995, 9735, 24637, 1781, 46260, 4407, 1386, 236779, 25149, 236779, 2234, 5904, 1570, 607, 10448, 990, 236772, 91844, 6137, 532, 53552, 2460, 4889, 12016, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4375, 1083, 623, 2021, 236772, 2320, 1694, 4464, 607, 10448, 990, 236772, 91844, 532, 82925, 827, 623, 23812, 1083, 11058, 13238, 59193, 568, 9264, 1473, 621, 689, 236828, 236800, 236753, 236785, 689, 236755, 236800, 236744, 8224, 103953, 211744, 568, 236828, 546, 236772, 236770, 236778, 3840, 236768, 753, 756, 41950, 496, 4954, 886, 54381, 657, 496, 990, 37894, 827, 623, 13238, 59193, 568, 9264, 1473, 621, 689, 236828, 236800, 236753, 236785, 689, 236755, 1926, 13444, 9467, 16785, 82801, 568, 236825, 236787, 236800, 236771, 236772, 236832, 236787, 236771, 236771, 8711, 833, 236743, 236832, 236787, 236771, 236771, 236772, 236832, 236787, 236800, 236771, 8711, 4325, 236772, 110239, 236768, 753, 756, 18084, 17752, 531, 1724, 1015, 7588, 506, 4204, 37894, 827, 623, 49074, 59193, 568, 37154, 1473, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236770, 19871, 78179, 657, 137842, 236789, 236751, 753, 756, 83380, 12502, 607, 496, 2268, 13035, 37894, 827, 623, 49074, 59193, 568, 37154, 1473, 621, 689, 236828, 236800, 236753, 236785, 689, 2692, 236825, 7167, 9055, 153025, 11297, 2021, 45045, 496, 49499, 522, 18140, 1606, 753, 756, 6481, 236789, 236751, 1676, 532, 3249, 607, 23648, 37894, 827, 623, 26834, 59193, 568, 17224, 1473, 621, 236756, 236778, 236825, 1553, 40502, 48745, 1416, 27468, 7179, 753, 756, 44289, 7531, 529, 506, 2290, 607, 25558, 6995, 37894, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 10448, 531, 236772, 2320, 1694, 607, 990, 236772, 91844, 532, 861, 82925, 236787, 108, 1018, 245318, 4819, 59193, 568, 9264, 1473, 1018, 138, 107, 236772, 8224, 103953, 211744, 568, 236828, 546, 236772, 236770, 236778, 3840, 236768, 138, 107, 138, 71510, 41950, 496, 4954, 886, 54381, 657, 496, 990, 9332, 236829, 138, 107, 236772, 5213, 244878, 13444, 9467, 16785, 82801, 1018, 138, 107, 138, 10505, 236772, 110239, 236787, 236743, 236825, 236787, 236800, 236771, 236772, 236832, 236787, 236771, 236771, 8711, 833, 236743, 236832, 236787, 236771, 236771, 236772, 236832, 236787, 236800, 236771, 8711, 138, 107, 138, 71510, 18084, 17752, 531, 1724, 1015, 7588, 506, 4204, 9332, 236829, 108, 1018, 242980, 35202, 59193, 568, 37154, 1473, 1018, 138, 107, 236772, 19871, 78179, 657, 137842, 236789, 236751, 138, 107, 138, 71510, 83380, 12502, 607, 496, 2268, 13035, 9332, 236829, 138, 107, 236772, 5213, 245840, 7167, 9055, 153025, 1018, 11297, 2021, 45045, 496, 49499, 522, 18140, 1606, 138, 107, 138, 71510, 6481, 236789, 236751, 1676, 532, 3249, 607, 23648, 9332, 236829, 108, 1018, 247844, 14533, 59193, 568, 17224, 1473, 1018, 138, 107, 236772, 40502, 48745, 1416, 27468, 7179, 138, 107, 138, 71510, 44289, 7531, 529, 506, 2290, 607, 25558, 6995, 9332, 236829, 108, 79050, 14626, 6508, 236787, 1599, 740, 236787, 138, 107, 236770, 236761, 11371, 506, 990, 236772, 98542, 2748, 14845, 618, 53552, 4749, 138, 107, 236778, 236761, 4140, 506, 48745, 1416, 10368, 2426, 618, 496, 16789, 32272, 138, 107, 236800, 236761, 8040, 236772, 3970, 9395, 684, 13546, 1699, 822, 14626, 850, 236789, 236751, 12972, 138, 108, 46038, 786, 531, 3600, 3530, 14626, 13283, 653, 1601, 59638, 1027, 4889, 3342, 236881, 106, 107, 105, 2364, 107, 236775, 12879, 573, 506, 12496, 236888, 564, 14275, 506, 64026, 75451, 48745, 1416, 10368, 2426, 563, 496, 12040, 4209, 2338, 692, 740, 236789, 236745, 8091, 910, 14626, 5467, 236761, 5612, 611, 6950, 14626, 850, 11221, 236764, 1451, 611, 5840, 496, 2196, 850, 600, 27674, 236751, 3418, 7359, 532, 5862, 53552, 16789, 82925, 236881, 6542, 236764, 1451, 611, 1138, 496, 5433, 528, 506, 756, 9020, 9055, 236789, 3336, 531, 3600, 8699, 4137, 573, 11503, 236743, 236770, 236778, 236772, 236770, 236810, 529, 808, 2021, 45045, 496, 49499, 522, 18140, 236829, 236881, 564, 1461, 531, 2080, 506, 12309, 2480, 1781, 46260, 4407, 1386, 236779, 25149, 236779, 2234, 5904, 531, 1138, 8699, 2934, 8687, 236764, 1651, 71299, 20226, 506, 12498, 531, 3421, 850, 15136, 4782, 506, 5904, 236858, 236751, 1873, 15858, 12016, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 23812, 236779, 17138, 1083, 236743, 236810, 236764, 623, 104094, 236779, 4375, 1083, 623, 11069, 531, 236772, 2320, 1694, 815, 1010, 4464, 607, 13546, 2258, 236772, 45669, 532, 111730, 236761, 669, 7167, 9055, 4209, 1492, 5132, 822, 15633, 5433, 1003, 11503, 236743, 236770, 236778, 236772, 236770, 236810, 8699, 4137, 573, 756, 2021, 45045, 496, 49499, 522, 18140, 6748, 1701, 14626, 850, 15136, 236764, 1966, 22260, 2196, 4071, 236772, 10212, 3835, 1133, 6475, 30467, 653, 9265, 2282, 3574, 837, 1894, 53552, 82925, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 10448, 531, 236772, 2320, 1694, 607, 8699, 2934, 8687, 236787, 108, 1018, 245840, 7167, 9055, 153025, 1018, 11297, 2021, 45045, 496, 49499, 522, 18140, 1606, 138, 107, 71510, 6481, 236789, 236751, 1676, 532, 3249, 607, 23648, 9332, 236829, 138, 107, 245305, 808, 50189, 5433, 236787, 59336, 8699, 4137, 573, 74815, 236743, 236770, 236778, 236772, 236770, 236810, 236829, 108, 2542, 14626, 13283, 236764, 564, 5840, 236787, 138, 107, 236770, 196645, 5213, 19540, 30467, 1018, 568, 6796, 236764, 4071, 236772, 10212, 27674, 236764, 53552, 82925, 236768, 138, 107, 236778, 196645, 5213, 18801, 2282, 3574, 1018, 568, 6796, 236764, 71926, 607, 42746, 236764, 53552, 9395, 236768, 138, 107, 236800, 196645, 5213, 10880, 236761, 2320, 1018, 568, 6796, 30028, 2487, 236764, 14626, 27674, 900, 32272, 53416, 236768, 108, 79050, 1419, 6508, 236787, 11371, 236786, 21104, 822, 531, 236772, 2320, 1694, 9395, 618, 14626, 4749, 1699, 506, 6518, 236787, 138, 107, 236929, 236840, 53058, 146961, 236842, 870, 6804, 7343, 236842, 1109, 870, 2866, 20303, 155192, 138, 107, 236769, 236744, 236761, 236759, 1126, 236743, 244878, 13444, 9467, 16785, 82801, 1109, 4325, 236772, 110239, 236743, 236825, 236787, 236800, 236771, 236772, 236832, 236787, 236800, 236771, 8711, 236768, 108, 46038, 786, 531, 1601, 12262, 3530, 8699, 4137, 573, 74815, 236743, 236770, 236778, 236772, 236770, 236810, 529, 808, 2021, 45045, 496, 49499, 522, 18140, 236829, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236775, 17531, 993, 236888, 564, 236789, 560, 1010, 4875, 531, 974, 2480, 657, 135382, 1041, 24564, 24637, 657, 506, 7626, 23803, 607, 1041, 2612, 48041, 83073, 236761, 28344, 611, 1601, 786, 2619, 496, 31044, 531, 236772, 2320, 1694, 600, 5132, 236787, 236743, 236770, 236761, 3551, 8224, 5597, 23803, 24637, 568, 236828, 546, 236772, 236770, 236778, 3840, 236768, 236743, 236778, 236761, 59797, 2748, 11802, 573, 1041, 37909, 3797, 3491, 2148, 2297, 236743, 236800, 236761, 562, 32272, 531, 24036, 506, 7972, 21622, 657, 1041, 102016, 236789, 236751, 3155, 236743, 236812, 236761, 153025, 506, 2148, 2260, 5975, 5395, 573, 756, 2021, 45045, 496, 49499, 522, 18140, 236789, 564, 1461, 625, 2258, 236772, 90841, 684, 13546, 532, 607, 60991, 12657, 573, 1546, 3336, 236761, 7062, 236764, 532, 740, 625, 27674, 607, 1041, 5154, 14626, 7462, 46260, 4407, 1386, 236779, 25149, 236779, 2234, 5904, 607, 14626, 12434, 6137, 12016, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25149, 236779, 2234, 236779, 547, 1083, 623, 19193, 236778, 236771, 236778, 236810, 236771, 236825, 236770, 236810, 827, 623, 4818, 1083, 623, 40812, 827, 623, 4375, 1083, 623, 2021, 236772, 2320, 1694, 4464, 10428, 607, 13546, 2258, 236772, 45669, 532, 60991, 12657, 236761, 30467, 27674, 18544, 563, 711, 5633, 2487, 528, 672, 5904, 3567, 236764, 840, 822, 1694, 563, 5508, 531, 577, 24473, 25985, 1131, 1346, 14626, 13283, 1781, 236783, 106, 107, 105, 4368, 107, 11069, 531, 236772, 2320, 1694, 568, 1735, 236787, 34147, 236778, 236771, 236778, 236810, 236771, 236825, 236770, 236810, 236768, 815, 1010, 4464, 607, 236787, 107, 240732, 8040, 236772, 90841, 28304, 568, 1192, 236786, 23861, 111730, 573, 7426, 16074, 236768, 107, 240732, 13287, 60991, 12657, 573, 1546, 3336, 107, 240732, 195612, 53892, 573, 3735, 5154, 122499, 108, 10282, 236787, 30467, 194612, 5889, 236789, 236745, 8008, 528, 672, 5904, 3567, 236764, 840, 611, 740, 236787, 107, 236770, 236761, 12774, 496, 27234, 529, 506, 1694, 573, 822, 5154, 107, 236778, 236761, 2599, 1755, 1138, 506, 53552, 4749, 531, 822, 14626, 850, 107, 236800, 236761, 6890, 506, 1694, 5853, 568, 19193, 236778, 236771, 236778, 236810, 236771, 236825, 236770, 236810, 236768, 531, 5577, 3209, 768, 12496, 659, 4354, 108, 38786, 611, 1133, 786, 531, 3600, 3530, 14626, 13283, 600, 981, 1388, 607, 12040, 23163, 236764, 653, 6253, 1027, 4209, 4889, 236881, 106, 107, 105, 2364, 107, 236775, 12879, 573, 506, 1694, 236888, 5612, 692, 740, 236789, 236745, 27674, 625, 5467, 236764, 1451, 611, 100257, 506, 756, 51462, 82801, 236789, 3336, 531, 3204, 3530, 990, 26870, 236881, 1701, 2591, 236764, 9918, 625, 1131, 236743, 236800, 236771, 236772, 20353, 20875, 6250, 657, 236743, 236825, 236787, 236800, 236771, 8711, 1546, 2069, 9467, 236761, 6542, 236764, 740, 611, 1138, 496, 53552, 32272, 531, 2426, 506, 64026, 75451, 48745, 1416, 236789, 10368, 573, 2290, 2668, 236881, 564, 1461, 531, 1386, 2889, 564, 1537, 236858, 236745, 4305, 910, 184820, 1056, 6995, 9735, 24637, 1781, 46260, 4407, 1386, 236779, 25149, 236779, 2234, 5904, 1570, 607, 10448, 990, 236772, 91844, 6137, 532, 53552, 2460, 4889, 12016, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4375, 1083, 623, 2021, 236772, 2320, 1694, 4464, 607, 10448, 990, 236772, 91844, 532, 82925, 827, 623, 23812, 1083, 11058, 13238, 59193, 568, 9264, 1473, 621, 689, 236828, 236800, 236753, 236785, 689, 236755, 236800, 236744, 8224, 103953, 211744, 568, 236828, 546, 236772, 236770, 236778, 3840, 236768, 753, 756, 41950, 496, 4954, 886, 54381, 657, 496, 990, 37894, 827, 623, 13238, 59193, 568, 9264, 1473, 621, 689, 236828, 236800, 236753, 236785, 689, 236755, 1926, 13444, 9467, 16785, 82801, 568, 236825, 236787, 236800, 236771, 236772, 236832, 236787, 236771, 236771, 8711, 833, 236743, 236832, 236787, 236771, 236771, 236772, 236832, 236787, 236800, 236771, 8711, 4325, 236772, 110239, 236768, 753, 756, 18084, 17752, 531, 1724, 1015, 7588, 506, 4204, 37894, 827, 623, 49074, 59193, 568, 37154, 1473, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236770, 19871, 78179, 657, 137842, 236789, 236751, 753, 756, 83380, 12502, 607, 496, 2268, 13035, 37894, 827, 623, 49074, 59193, 568, 37154, 1473, 621, 689, 236828, 236800, 236753, 236785, 689, 2692, 236825, 7167, 9055, 153025, 11297, 2021, 45045, 496, 49499, 522, 18140, 1606, 753, 756, 6481, 236789, 236751, 1676, 532, 3249, 607, 23648, 37894, 827, 623, 26834, 59193, 568, 17224, 1473, 621, 236756, 236778, 236825, 1553, 40502, 48745, 1416, 27468, 7179, 753, 756, 44289, 7531, 529, 506, 2290, 607, 25558, 6995, 37894, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 10448, 531, 236772, 2320, 1694, 607, 990, 236772, 91844, 532, 861, 82925, 236787, 108, 1018, 245318, 4819, 59193, 568, 9264, 1473, 1018, 138, 107, 236772, 8224, 103953, 211744, 568, 236828, 546, 236772, 236770, 236778, 3840, 236768, 138, 107, 138, 71510, 41950, 496, 4954, 886, 54381, 657, 496, 990, 9332, 236829, 138, 107, 236772, 5213, 244878, 13444, 9467, 16785, 82801, 1018, 138, 107, 138, 10505, 236772, 110239, 236787, 236743, 236825, 236787, 236800, 236771, 236772, 236832, 236787, 236771, 236771, 8711, 833, 236743, 236832, 236787, 236771, 236771, 236772, 236832, 236787, 236800, 236771, 8711, 138, 107, 138, 71510, 18084, 17752, 531, 1724, 1015, 7588, 506, 4204, 9332, 236829, 108, 1018, 242980, 35202, 59193, 568, 37154, 1473, 1018, 138, 107, 236772, 19871, 78179, 657, 137842, 236789, 236751, 138, 107, 138, 71510, 83380, 12502, 607, 496, 2268, 13035, 9332, 236829, 138, 107, 236772, 5213, 245840, 7167, 9055, 153025, 1018, 11297, 2021, 45045, 496, 49499, 522, 18140, 1606, 138, 107, 138, 71510, 6481, 236789, 236751, 1676, 532, 3249, 607, 23648, 9332, 236829, 108, 1018, 247844, 14533, 59193, 568, 17224, 1473, 1018, 138, 107, 236772, 40502, 48745, 1416, 27468, 7179, 138, 107, 138, 71510, 44289, 7531, 529, 506, 2290, 607, 25558, 6995, 9332, 236829, 108, 79050, 14626, 6508, 236787, 1599, 740, 236787, 138, 107, 236770, 236761, 11371, 506, 990, 236772, 98542, 2748, 14845, 618, 53552, 4749, 138, 107, 236778, 236761, 4140, 506, 48745, 1416, 10368, 2426, 618, 496, 16789, 32272, 138, 107, 236800, 236761, 8040, 236772, 3970, 9395, 684, 13546, 1699, 822, 14626, 850, 236789, 236751, 12972, 138, 108, 46038, 786, 531, 3600, 3530, 14626, 13283, 653, 1601, 59638, 1027, 4889, 3342, 236881, 106, 107, 105, 2364, 107, 236775, 12879, 573, 506, 12496, 236888, 564, 14275, 506, 64026, 75451, 48745, 1416, 10368, 2426, 563, 496, 12040, 4209, 2338, 692, 740, 236789, 236745, 8091, 910, 14626, 5467, 236761, 5612, 611, 6950, 14626, 850, 11221, 236764, 1451, 611, 5840, 496, 2196, 850, 600, 27674, 236751, 3418, 7359, 532, 5862, 53552, 16789, 82925, 236881, 6542, 236764, 1451, 611, 1138, 496, 5433, 528, 506, 756, 9020, 9055, 236789, 3336, 531, 3600, 8699, 4137, 573, 11503, 236743, 236770, 236778, 236772, 236770, 236810, 529, 808, 2021, 45045, 496, 49499, 522, 18140, 236829, 236881, 564, 1461, 531, 2080, 506, 12309, 2480, 1781, 46260, 4407, 1386, 236779, 25149, 236779, 2234, 5904, 531, 1138, 8699, 2934, 8687, 236764, 1651, 71299, 20226, 506, 12498, 531, 3421, 850, 15136, 4782, 506, 5904, 236858, 236751, 1873, 15858, 12016, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 23812, 236779, 17138, 1083, 236743, 236810, 236764, 623, 104094, 236779, 4375, 1083, 623, 11069, 531, 236772, 2320, 1694, 815, 1010, 4464, 607, 13546, 2258, 236772, 45669, 532, 111730, 236761, 669, 7167, 9055, 4209, 1492, 5132, 822, 15633, 5433, 1003, 11503, 236743, 236770, 236778, 236772, 236770, 236810, 8699, 4137, 573, 756, 2021, 45045, 496, 49499, 522, 18140, 6748, 1701, 14626, 850, 15136, 236764, 1966, 22260, 2196, 4071, 236772, 10212, 3835, 1133, 6475, 30467, 653, 9265, 2282, 3574, 837, 1894, 53552, 82925, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 10448, 531, 236772, 2320, 1694, 607, 8699, 2934, 8687, 236787, 108, 1018, 245840, 7167, 9055, 153025, 1018, 11297, 2021, 45045, 496, 49499, 522, 18140, 1606, 138, 107, 71510, 6481, 236789, 236751, 1676, 532, 3249, 607, 23648, 9332, 236829, 138, 107, 245305, 808, 50189, 5433, 236787, 59336, 8699, 4137, 573, 74815, 236743, 236770, 236778, 236772, 236770, 236810, 236829, 108, 2542, 14626, 13283, 236764, 564, 5840, 236787, 138, 107, 236770, 196645, 5213, 19540, 30467, 1018, 568, 6796, 236764, 4071, 236772, 10212, 27674, 236764, 53552, 82925, 236768, 138, 107, 236778, 196645, 5213, 18801, 2282, 3574, 1018, 568, 6796, 236764, 71926, 607, 42746, 236764, 53552, 9395, 236768, 138, 107, 236800, 196645, 5213, 10880, 236761, 2320, 1018, 568, 6796, 30028, 2487, 236764, 14626, 27674, 900, 32272, 53416, 236768, 108, 79050, 1419, 6508, 236787, 11371, 236786, 21104, 822, 531, 236772, 2320, 1694, 9395, 618, 14626, 4749, 1699, 506, 6518, 236787, 138, 107, 236929, 236840, 53058, 146961, 236842, 870, 6804, 7343, 236842, 1109, 870, 2866, 20303, 155192, 138, 107, 236769, 236744, 236761, 236759, 1126, 236743, 244878, 13444, 9467, 16785, 82801, 1109, 4325, 236772, 110239, 236743, 236825, 236787, 236800, 236771, 236772, 236832, 236787, 236800, 236771, 8711, 236768, 108, 46038, 786, 531, 1601, 12262, 3530, 8699, 4137, 573, 74815, 236743, 236770, 236778, 236772, 236770, 236810, 529, 808, 2021, 45045, 496, 49499, 522, 18140, 236829, 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, 1070, 1535, 981, 11795, 573, 12284, 2780, 236761, 3199, 611, 2426, 784, 506, 2487, 11795, 236764, 4351, 855, 506, 2764, 1758, 236789, 236751, 2425, 236743, 236770, 236771, 5906, 600, 659, 981, 22648, 236764, 532, 1299, 974, 786, 919, 4889, 580, 1724, 236881, 3792, 786, 1281, 1144, 3835, 659, 2487, 532, 910, 6527, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 5467, 5957, 653, 18840, 506, 23990, 23191, 531, 1586, 3530, 981, 22648, 16590, 822, 13138, 568, 8916, 236764, 1758, 236789, 236751, 236764, 2425, 236743, 236770, 236771, 236768, 1547, 506, 2487, 6436, 1186, 2174, 786, 531, 236787, 107, 236770, 236761, 91820, 506, 2587, 23990, 23191, 568, 1904, 18774, 236768, 107, 236778, 236761, 11696, 872, 3141, 11795, 684, 5853, 108, 38786, 611, 1133, 786, 531, 33205, 506, 4133, 1694, 529, 11795, 236764, 837, 611, 1451, 1299, 5957, 24473, 236881, 2408, 776, 611, 735, 3530, 23990, 62606, 611, 236789, 236753, 1133, 786, 531, 1385, 872, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2056, 2264, 4313, 236761, 5315, 236764, 974, 786, 506, 4133, 1694, 529, 11795, 236761, 4298, 236764, 3622, 564, 735, 600, 1262, 236764, 564, 236789, 859, 2679, 611, 531, 8430, 506, 2764, 1758, 236789, 236751, 2425, 236743, 236770, 236771, 981, 22648, 699, 625, 236761, 4210, 600, 236764, 692, 740, 974, 4889, 573, 1546, 529, 1724, 3530, 11795, 236761, 3792, 236789, 236751, 1502, 607, 67896, 506, 2587, 23191, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 138622, 1083, 78493, 547, 1083, 623, 7510, 236770, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 236796, 28520, 5490, 85291, 827, 623, 2084, 1083, 623, 2025, 22648, 827, 623, 24385, 1083, 623, 2438, 236789, 236751, 827, 623, 3001, 1083, 623, 8916, 827, 623, 2086, 1083, 236743, 236770, 236771, 236764, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 495, 2862, 23179, 3714, 547, 1083, 623, 7510, 236770, 236771, 236771, 236810, 827, 623, 1201, 1083, 623, 209501, 236772, 1988, 13040, 37727, 69237, 827, 623, 2084, 1083, 623, 738, 16713, 827, 623, 24385, 1083, 623, 602, 40298, 827, 623, 3001, 1083, 623, 8916, 827, 623, 2086, 1083, 236743, 236770, 236771, 236764, 623, 9707, 1083, 236743, 236810, 236819, 236761, 236819, 236810, 236764, 623, 46589, 236779, 4818, 1083, 623, 495, 2862, 23179, 3714, 547, 1083, 623, 7510, 236770, 236771, 236778, 236800, 827, 623, 1201, 1083, 623, 84157, 236772, 117670, 16661, 85291, 827, 623, 2084, 1083, 623, 89653, 22648, 827, 623, 24385, 1083, 623, 2438, 236789, 236751, 827, 623, 3001, 1083, 623, 8916, 827, 623, 2086, 1083, 236743, 236770, 236771, 236764, 623, 9707, 1083, 236743, 236770, 236778, 236819, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 495, 2862, 23179, 3714, 547, 1083, 623, 7510, 236770, 236771, 236812, 236810, 827, 623, 1201, 1083, 623, 27574, 200540, 827, 623, 2084, 1083, 623, 55182, 827, 623, 24385, 1083, 623, 33643, 236789, 236751, 827, 623, 3001, 1083, 623, 7986, 827, 623, 2086, 1083, 236743, 236828, 236764, 623, 9707, 1083, 236743, 236800, 236819, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 495, 2862, 236775, 165075, 106, 107, 105, 4368, 107, 236777, 236789, 560, 24271, 506, 23191, 573, 2764, 1758, 236789, 236751, 2425, 236743, 236770, 236771, 981, 22648, 236761, 5715, 659, 506, 3835, 2487, 236787, 108, 236770, 236761, 5213, 236796, 28520, 5490, 85291, 1018, 568, 1735, 236787, 9586, 236770, 236771, 236771, 236770, 236768, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 52761, 236787, 799, 2862, 138, 108, 236778, 236761, 5213, 84157, 236772, 117670, 16661, 85291, 1018, 568, 1735, 236787, 9586, 236770, 236771, 236778, 236800, 236768, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236778, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 52761, 236787, 799, 2862, 138, 108, 3810, 236789, 236751, 992, 496, 46971, 2764, 2425, 236743, 236770, 236771, 63660, 5086, 568, 209501, 236772, 1988, 13040, 37727, 69237, 236764, 5853, 236787, 9586, 236770, 236771, 236771, 236810, 236768, 657, 609, 236810, 236819, 236761, 236819, 236810, 768, 611, 236789, 500, 1932, 531, 1908, 236772, 32562, 236772, 15396, 14062, 236761, 108, 38786, 611, 1133, 9813, 23003, 573, 1027, 529, 1239, 3530, 11795, 568, 15218, 910, 5853, 20625, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 974, 9813, 23003, 573, 784, 1806, 3835, 568, 7510, 236770, 236771, 236771, 236770, 236764, 9586, 236770, 236771, 236778, 236800, 236764, 532, 9586, 236770, 236771, 236771, 236810, 769, 564, 1461, 531, 10769, 910, 4065, 1133, 21078, 8047, 236764, 5931, 4181, 236764, 532, 2561, 39601, 2338, 564, 236789, 236757, 580, 1041, 6172, 784, 1719, 12284, 2780, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 55980, 547, 1083, 623, 7510, 236770, 236771, 236771, 236770, 827, 623, 4368, 1083, 623, 9004, 25261, 236743, 236778, 236771, 236771, 236771, 827, 623, 3001, 1083, 623, 6907, 827, 623, 60781, 236779, 18700, 1083, 11058, 236828, 827, 623, 236819, 827, 623, 236770, 236771, 827, 623, 236770, 236770, 14255, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 236796, 28520, 13069, 981, 22648, 607, 21078, 236772, 36954, 11097, 236764, 7436, 573, 2780, 2509, 18567, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 55980, 547, 1083, 623, 7510, 236770, 236771, 236778, 236800, 827, 623, 4368, 1083, 623, 6907, 106025, 5490, 28730, 827, 623, 3001, 1083, 623, 6907, 827, 623, 60781, 236779, 18700, 1083, 870, 236828, 236764, 236743, 236819, 236764, 236743, 236770, 236771, 236764, 236743, 236770, 236770, 1604, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 84157, 236772, 1071, 524, 13069, 981, 15451, 607, 21078, 236772, 36954, 11097, 236764, 7436, 573, 2780, 2509, 18567, 236761, 123929, 532, 78351, 14181, 38330, 10498, 623, 46589, 236779, 4818, 1083, 623, 902, 2862, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 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, 17811, 623, 29995, 1083, 3714, 13205, 236779, 2501, 2027, 1083, 623, 818, 756, 828, 236779, 52004, 236779, 138622, 236789, 5904, 3914, 5957, 11795, 684, 2258, 236764, 2425, 236764, 653, 1722, 236761, 1030, 1186, 165522, 4889, 573, 496, 3530, 23990, 5853, 236761, 2301, 18544, 2487, 531, 3927, 573, 756, 8916, 1758, 236789, 236751, 2425, 236743, 236770, 236771, 981, 22648, 145352, 19465, 106, 107, 105, 4368, 107, 3810, 7412, 531, 577, 614, 97592, 528, 506, 1458, 236761, 5978, 9586, 236770, 236771, 236771, 236810, 568, 209501, 236772, 1988, 13040, 37727, 69237, 236768, 691, 3505, 528, 506, 23191, 607, 4341, 4889, 236764, 506, 5904, 8323, 614, 3165, 1056, 4875, 531, 33205, 1061, 23003, 236761, 18186, 580, 506, 4068, 23191, 1262, 532, 506, 2487, 13630, 573, 506, 1032, 1156, 11795, 236764, 1590, 236789, 236751, 1144, 692, 1281, 236787, 108, 10354, 9586, 236770, 236771, 236771, 236770, 236787, 5213, 9004, 25261, 236743, 236778, 236771, 236771, 236771, 1018, 138, 107, 236772, 5213, 27144, 66515, 136007, 13069, 236764, 21078, 236772, 36954, 11097, 138, 107, 236772, 5213, 11280, 66515, 609, 236828, 236819, 236761, 236819, 236819, 138, 107, 236772, 5213, 9770, 66515, 45891, 573, 2780, 2509, 18567, 138, 108, 10354, 9586, 236770, 236771, 236778, 236800, 236787, 5213, 6907, 106025, 5490, 28730, 1018, 138, 107, 236772, 5213, 27144, 66515, 20012, 236772, 1071, 524, 236764, 35918, 236764, 78351, 14181, 38330, 236764, 21078, 236772, 36954, 11097, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236819, 236761, 236819, 236819, 138, 107, 236772, 5213, 9770, 66515, 10353, 2509, 236772, 18865, 607, 1494, 39601, 138, 107, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 236786, 236810, 138, 108, 10354, 9586, 236770, 236771, 236771, 236810, 236787, 5213, 209501, 236772, 1988, 13040, 37727, 69237, 1018, 138, 107, 236772, 5213, 4663, 23191, 66515, 205955, 2764, 2425, 236743, 236770, 236771, 732, 16713, 236764, 609, 236810, 236819, 236761, 236819, 236810, 568, 9731, 3165, 30334, 9813, 51139, 236768, 138, 108, 38786, 611, 1133, 531, 236787, 138, 107, 236770, 236761, 30235, 580, 22020, 9586, 236770, 236771, 236771, 236770, 532, 9586, 236770, 236771, 236778, 236800, 236881, 138, 107, 236778, 236761, 15325, 67896, 9586, 236770, 236771, 236771, 236810, 4889, 1570, 236881, 138, 107, 236800, 236761, 46071, 1032, 3835, 699, 506, 23191, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2056, 67896, 9586, 236770, 236771, 236771, 236810, 236789, 236751, 4889, 886, 919, 990, 2338, 625, 236789, 236751, 506, 1346, 17075, 5086, 236761, 1637, 625, 2036, 9825, 236764, 1531, 236789, 236751, 3213, 580, 22020, 9586, 236770, 236771, 236771, 236770, 532, 9586, 236770, 236771, 236778, 236800, 528, 8052, 236764, 2440, 1027, 4767, 4065, 1133, 5931, 14896, 653, 2561, 72320, 600, 2473, 4208, 784, 236772, 1496, 1161, 528, 496, 2780, 2509, 3453, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 55980, 547, 1083, 623, 7510, 236770, 236771, 236771, 236810, 827, 623, 4368, 1083, 623, 1489, 9004, 39406, 28730, 827, 623, 2086, 236779, 56905, 1083, 3714, 60781, 1083, 870, 236828, 236764, 236743, 236819, 236764, 236743, 236770, 236771, 236764, 236743, 236770, 236770, 236764, 236743, 236770, 236778, 1604, 623, 14973, 236779, 4818, 1083, 623, 902, 13827, 23179, 623, 9707, 1083, 6610, 236770, 236770, 236819, 236761, 236819, 236819, 827, 623, 7777, 1083, 623, 6907, 13069, 981, 22648, 607, 21078, 236772, 36954, 855, 6169, 507, 236764, 8103, 23670, 17126, 236764, 532, 217106, 1728, 6909, 236761, 56900, 573, 2780, 2509, 14477, 607, 7247, 236772, 34246, 14362, 4181, 532, 35918, 35808, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 9960, 529, 784, 1806, 3835, 236764, 2440, 506, 10448, 1938, 573, 9586, 236770, 236771, 236771, 236810, 236787, 108, 10354, 5213, 7510, 236770, 236771, 236771, 236770, 236787, 5490, 25261, 236743, 236778, 236771, 236771, 236771, 1018, 138, 107, 236772, 5213, 11280, 66515, 609, 236828, 236819, 236761, 236819, 236819, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 113487, 236772, 36954, 11097, 138, 107, 138, 236772, 136007, 13069, 5431, 138, 107, 138, 236772, 18711, 981, 15451, 1702, 138, 107, 236772, 5213, 17043, 1701, 66515, 29125, 236772, 29852, 5089, 38702, 3606, 236764, 13451, 62391, 138, 108, 7243, 108, 10354, 5213, 7510, 236770, 236771, 236778, 236800, 236787, 5561, 106025, 5490, 28730, 1018, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236819, 236761, 236819, 236819, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 20012, 236772, 1071, 524, 6733, 138, 107, 138, 236772, 123929, 14181, 900, 78351, 38330, 138, 107, 138, 236772, 113487, 236772, 36954, 11097, 138, 107, 138, 236772, 4819, 39601, 573, 1440, 24637, 138, 107, 138, 236772, 236743, 236812, 236761, 236832, 236786, 236810, 14470, 568, 25016, 9697, 236768, 138, 107, 236772, 5213, 17043, 1701, 66515, 39591, 236772, 57684, 6733, 532, 5931, 528, 29455, 18567, 138, 108, 7243, 108, 10354, 5213, 7510, 236770, 236771, 236771, 236810, 236787, 1255, 9004, 39406, 28730, 1018, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236770, 236819, 236761, 236819, 236819, 568, 25903, 699, 609, 236810, 236819, 236761, 236819, 236810, 236768, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 20012, 23670, 17126, 138, 107, 138, 236772, 113487, 236772, 36954, 855, 6169, 507, 138, 107, 138, 236772, 112712, 24568, 1728, 6909, 900, 7247, 236772, 34246, 14362, 4181, 138, 107, 138, 236772, 123929, 35808, 138, 107, 138, 236772, 205955, 1702, 568, 2086, 236743, 236770, 236771, 2487, 236768, 138, 107, 236772, 5213, 10282, 66515, 14584, 59725, 13207, 1534, 23191, 6131, 236810, 236819, 236761, 236819, 236810, 236768, 532, 9813, 1368, 6131, 236770, 236770, 236819, 236761, 236819, 236819, 769, 53399, 92578, 21212, 607, 4762, 4698, 236761, 138, 108, 7243, 108, 10354, 5213, 211199, 573, 10353, 6007, 66515, 138, 107, 236772, 5213, 8534, 24067, 66515, 5213, 7510, 236770, 236771, 236778, 236800, 5561, 106025, 1018, 573, 12132, 6733, 236764, 143670, 236764, 532, 5931, 14896, 568, 63914, 573, 1440, 24637, 769, 138, 107, 236772, 5213, 71653, 19993, 66515, 5213, 7510, 236770, 236771, 236771, 236770, 5490, 25261, 1018, 768, 611, 56856, 2157, 1024, 9691, 4065, 236761, 138, 107, 236772, 5213, 7510, 236770, 236771, 236771, 236810, 1255, 9004, 39406, 66515, 14537, 236772, 8572, 5086, 607, 7247, 236772, 34246, 14362, 14896, 236764, 840, 9128, 21212, 1680, 7408, 236761, 138, 108, 38786, 611, 1133, 1601, 91240, 1679, 2721, 580, 3530, 28304, 568, 236744, 236761, 236759, 1126, 7715, 236764, 5646, 4065, 236764, 5931, 20625, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 1070, 1535, 981, 11795, 573, 12284, 2780, 236761, 3199, 611, 2426, 784, 506, 2487, 11795, 236764, 4351, 855, 506, 2764, 1758, 236789, 236751, 2425, 236743, 236770, 236771, 5906, 600, 659, 981, 22648, 236764, 532, 1299, 974, 786, 919, 4889, 580, 1724, 236881, 3792, 786, 1281, 1144, 3835, 659, 2487, 532, 910, 6527, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 5467, 5957, 653, 18840, 506, 23990, 23191, 531, 1586, 3530, 981, 22648, 16590, 822, 13138, 568, 8916, 236764, 1758, 236789, 236751, 236764, 2425, 236743, 236770, 236771, 236768, 1547, 506, 2487, 6436, 1186, 2174, 786, 531, 236787, 107, 236770, 236761, 91820, 506, 2587, 23990, 23191, 568, 1904, 18774, 236768, 107, 236778, 236761, 11696, 872, 3141, 11795, 684, 5853, 108, 38786, 611, 1133, 786, 531, 33205, 506, 4133, 1694, 529, 11795, 236764, 837, 611, 1451, 1299, 5957, 24473, 236881, 2408, 776, 611, 735, 3530, 23990, 62606, 611, 236789, 236753, 1133, 786, 531, 1385, 872, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2056, 2264, 4313, 236761, 5315, 236764, 974, 786, 506, 4133, 1694, 529, 11795, 236761, 4298, 236764, 3622, 564, 735, 600, 1262, 236764, 564, 236789, 859, 2679, 611, 531, 8430, 506, 2764, 1758, 236789, 236751, 2425, 236743, 236770, 236771, 981, 22648, 699, 625, 236761, 4210, 600, 236764, 692, 740, 974, 4889, 573, 1546, 529, 1724, 3530, 11795, 236761, 3792, 236789, 236751, 1502, 607, 67896, 506, 2587, 23191, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 138622, 1083, 78493, 547, 1083, 623, 7510, 236770, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 236796, 28520, 5490, 85291, 827, 623, 2084, 1083, 623, 2025, 22648, 827, 623, 24385, 1083, 623, 2438, 236789, 236751, 827, 623, 3001, 1083, 623, 8916, 827, 623, 2086, 1083, 236743, 236770, 236771, 236764, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 495, 2862, 23179, 3714, 547, 1083, 623, 7510, 236770, 236771, 236771, 236810, 827, 623, 1201, 1083, 623, 209501, 236772, 1988, 13040, 37727, 69237, 827, 623, 2084, 1083, 623, 738, 16713, 827, 623, 24385, 1083, 623, 602, 40298, 827, 623, 3001, 1083, 623, 8916, 827, 623, 2086, 1083, 236743, 236770, 236771, 236764, 623, 9707, 1083, 236743, 236810, 236819, 236761, 236819, 236810, 236764, 623, 46589, 236779, 4818, 1083, 623, 495, 2862, 23179, 3714, 547, 1083, 623, 7510, 236770, 236771, 236778, 236800, 827, 623, 1201, 1083, 623, 84157, 236772, 117670, 16661, 85291, 827, 623, 2084, 1083, 623, 89653, 22648, 827, 623, 24385, 1083, 623, 2438, 236789, 236751, 827, 623, 3001, 1083, 623, 8916, 827, 623, 2086, 1083, 236743, 236770, 236771, 236764, 623, 9707, 1083, 236743, 236770, 236778, 236819, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 495, 2862, 23179, 3714, 547, 1083, 623, 7510, 236770, 236771, 236812, 236810, 827, 623, 1201, 1083, 623, 27574, 200540, 827, 623, 2084, 1083, 623, 55182, 827, 623, 24385, 1083, 623, 33643, 236789, 236751, 827, 623, 3001, 1083, 623, 7986, 827, 623, 2086, 1083, 236743, 236828, 236764, 623, 9707, 1083, 236743, 236800, 236819, 236761, 236819, 236819, 236764, 623, 46589, 236779, 4818, 1083, 623, 495, 2862, 236775, 165075, 106, 107, 105, 4368, 107, 236777, 236789, 560, 24271, 506, 23191, 573, 2764, 1758, 236789, 236751, 2425, 236743, 236770, 236771, 981, 22648, 236761, 5715, 659, 506, 3835, 2487, 236787, 108, 236770, 236761, 5213, 236796, 28520, 5490, 85291, 1018, 568, 1735, 236787, 9586, 236770, 236771, 236771, 236770, 236768, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 52761, 236787, 799, 2862, 138, 108, 236778, 236761, 5213, 84157, 236772, 117670, 16661, 85291, 1018, 568, 1735, 236787, 9586, 236770, 236771, 236778, 236800, 236768, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236778, 236819, 236761, 236819, 236819, 138, 107, 139, 236772, 52761, 236787, 799, 2862, 138, 108, 3810, 236789, 236751, 992, 496, 46971, 2764, 2425, 236743, 236770, 236771, 63660, 5086, 568, 209501, 236772, 1988, 13040, 37727, 69237, 236764, 5853, 236787, 9586, 236770, 236771, 236771, 236810, 236768, 657, 609, 236810, 236819, 236761, 236819, 236810, 768, 611, 236789, 500, 1932, 531, 1908, 236772, 32562, 236772, 15396, 14062, 236761, 108, 38786, 611, 1133, 9813, 23003, 573, 1027, 529, 1239, 3530, 11795, 568, 15218, 910, 5853, 20625, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 974, 9813, 23003, 573, 784, 1806, 3835, 568, 7510, 236770, 236771, 236771, 236770, 236764, 9586, 236770, 236771, 236778, 236800, 236764, 532, 9586, 236770, 236771, 236771, 236810, 769, 564, 1461, 531, 10769, 910, 4065, 1133, 21078, 8047, 236764, 5931, 4181, 236764, 532, 2561, 39601, 2338, 564, 236789, 236757, 580, 1041, 6172, 784, 1719, 12284, 2780, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 55980, 547, 1083, 623, 7510, 236770, 236771, 236771, 236770, 827, 623, 4368, 1083, 623, 9004, 25261, 236743, 236778, 236771, 236771, 236771, 827, 623, 3001, 1083, 623, 6907, 827, 623, 60781, 236779, 18700, 1083, 11058, 236828, 827, 623, 236819, 827, 623, 236770, 236771, 827, 623, 236770, 236770, 14255, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 236796, 28520, 13069, 981, 22648, 607, 21078, 236772, 36954, 11097, 236764, 7436, 573, 2780, 2509, 18567, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 55980, 547, 1083, 623, 7510, 236770, 236771, 236778, 236800, 827, 623, 4368, 1083, 623, 6907, 106025, 5490, 28730, 827, 623, 3001, 1083, 623, 6907, 827, 623, 60781, 236779, 18700, 1083, 870, 236828, 236764, 236743, 236819, 236764, 236743, 236770, 236771, 236764, 236743, 236770, 236770, 1604, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 84157, 236772, 1071, 524, 13069, 981, 15451, 607, 21078, 236772, 36954, 11097, 236764, 7436, 573, 2780, 2509, 18567, 236761, 123929, 532, 78351, 14181, 38330, 10498, 623, 46589, 236779, 4818, 1083, 623, 902, 2862, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 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, 17811, 623, 29995, 1083, 3714, 13205, 236779, 2501, 2027, 1083, 623, 818, 756, 828, 236779, 52004, 236779, 138622, 236789, 5904, 3914, 5957, 11795, 684, 2258, 236764, 2425, 236764, 653, 1722, 236761, 1030, 1186, 165522, 4889, 573, 496, 3530, 23990, 5853, 236761, 2301, 18544, 2487, 531, 3927, 573, 756, 8916, 1758, 236789, 236751, 2425, 236743, 236770, 236771, 981, 22648, 145352, 19465, 106, 107, 105, 4368, 107, 3810, 7412, 531, 577, 614, 97592, 528, 506, 1458, 236761, 5978, 9586, 236770, 236771, 236771, 236810, 568, 209501, 236772, 1988, 13040, 37727, 69237, 236768, 691, 3505, 528, 506, 23191, 607, 4341, 4889, 236764, 506, 5904, 8323, 614, 3165, 1056, 4875, 531, 33205, 1061, 23003, 236761, 18186, 580, 506, 4068, 23191, 1262, 532, 506, 2487, 13630, 573, 506, 1032, 1156, 11795, 236764, 1590, 236789, 236751, 1144, 692, 1281, 236787, 108, 10354, 9586, 236770, 236771, 236771, 236770, 236787, 5213, 9004, 25261, 236743, 236778, 236771, 236771, 236771, 1018, 138, 107, 236772, 5213, 27144, 66515, 136007, 13069, 236764, 21078, 236772, 36954, 11097, 138, 107, 236772, 5213, 11280, 66515, 609, 236828, 236819, 236761, 236819, 236819, 138, 107, 236772, 5213, 9770, 66515, 45891, 573, 2780, 2509, 18567, 138, 108, 10354, 9586, 236770, 236771, 236778, 236800, 236787, 5213, 6907, 106025, 5490, 28730, 1018, 138, 107, 236772, 5213, 27144, 66515, 20012, 236772, 1071, 524, 236764, 35918, 236764, 78351, 14181, 38330, 236764, 21078, 236772, 36954, 11097, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236819, 236761, 236819, 236819, 138, 107, 236772, 5213, 9770, 66515, 10353, 2509, 236772, 18865, 607, 1494, 39601, 138, 107, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 236786, 236810, 138, 108, 10354, 9586, 236770, 236771, 236771, 236810, 236787, 5213, 209501, 236772, 1988, 13040, 37727, 69237, 1018, 138, 107, 236772, 5213, 4663, 23191, 66515, 205955, 2764, 2425, 236743, 236770, 236771, 732, 16713, 236764, 609, 236810, 236819, 236761, 236819, 236810, 568, 9731, 3165, 30334, 9813, 51139, 236768, 138, 108, 38786, 611, 1133, 531, 236787, 138, 107, 236770, 236761, 30235, 580, 22020, 9586, 236770, 236771, 236771, 236770, 532, 9586, 236770, 236771, 236778, 236800, 236881, 138, 107, 236778, 236761, 15325, 67896, 9586, 236770, 236771, 236771, 236810, 4889, 1570, 236881, 138, 107, 236800, 236761, 46071, 1032, 3835, 699, 506, 23191, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2056, 67896, 9586, 236770, 236771, 236771, 236810, 236789, 236751, 4889, 886, 919, 990, 2338, 625, 236789, 236751, 506, 1346, 17075, 5086, 236761, 1637, 625, 2036, 9825, 236764, 1531, 236789, 236751, 3213, 580, 22020, 9586, 236770, 236771, 236771, 236770, 532, 9586, 236770, 236771, 236778, 236800, 528, 8052, 236764, 2440, 1027, 4767, 4065, 1133, 5931, 14896, 653, 2561, 72320, 600, 2473, 4208, 784, 236772, 1496, 1161, 528, 496, 2780, 2509, 3453, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 55980, 547, 1083, 623, 7510, 236770, 236771, 236771, 236810, 827, 623, 4368, 1083, 623, 1489, 9004, 39406, 28730, 827, 623, 2086, 236779, 56905, 1083, 3714, 60781, 1083, 870, 236828, 236764, 236743, 236819, 236764, 236743, 236770, 236771, 236764, 236743, 236770, 236770, 236764, 236743, 236770, 236778, 1604, 623, 14973, 236779, 4818, 1083, 623, 902, 13827, 23179, 623, 9707, 1083, 6610, 236770, 236770, 236819, 236761, 236819, 236819, 827, 623, 7777, 1083, 623, 6907, 13069, 981, 22648, 607, 21078, 236772, 36954, 855, 6169, 507, 236764, 8103, 23670, 17126, 236764, 532, 217106, 1728, 6909, 236761, 56900, 573, 2780, 2509, 14477, 607, 7247, 236772, 34246, 14362, 4181, 532, 35918, 35808, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 9960, 529, 784, 1806, 3835, 236764, 2440, 506, 10448, 1938, 573, 9586, 236770, 236771, 236771, 236810, 236787, 108, 10354, 5213, 7510, 236770, 236771, 236771, 236770, 236787, 5490, 25261, 236743, 236778, 236771, 236771, 236771, 1018, 138, 107, 236772, 5213, 11280, 66515, 609, 236828, 236819, 236761, 236819, 236819, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 113487, 236772, 36954, 11097, 138, 107, 138, 236772, 136007, 13069, 5431, 138, 107, 138, 236772, 18711, 981, 15451, 1702, 138, 107, 236772, 5213, 17043, 1701, 66515, 29125, 236772, 29852, 5089, 38702, 3606, 236764, 13451, 62391, 138, 108, 7243, 108, 10354, 5213, 7510, 236770, 236771, 236778, 236800, 236787, 5561, 106025, 5490, 28730, 1018, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236819, 236761, 236819, 236819, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 20012, 236772, 1071, 524, 6733, 138, 107, 138, 236772, 123929, 14181, 900, 78351, 38330, 138, 107, 138, 236772, 113487, 236772, 36954, 11097, 138, 107, 138, 236772, 4819, 39601, 573, 1440, 24637, 138, 107, 138, 236772, 236743, 236812, 236761, 236832, 236786, 236810, 14470, 568, 25016, 9697, 236768, 138, 107, 236772, 5213, 17043, 1701, 66515, 39591, 236772, 57684, 6733, 532, 5931, 528, 29455, 18567, 138, 108, 7243, 108, 10354, 5213, 7510, 236770, 236771, 236771, 236810, 236787, 1255, 9004, 39406, 28730, 1018, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236770, 236819, 236761, 236819, 236819, 568, 25903, 699, 609, 236810, 236819, 236761, 236819, 236810, 236768, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 20012, 23670, 17126, 138, 107, 138, 236772, 113487, 236772, 36954, 855, 6169, 507, 138, 107, 138, 236772, 112712, 24568, 1728, 6909, 900, 7247, 236772, 34246, 14362, 4181, 138, 107, 138, 236772, 123929, 35808, 138, 107, 138, 236772, 205955, 1702, 568, 2086, 236743, 236770, 236771, 2487, 236768, 138, 107, 236772, 5213, 10282, 66515, 14584, 59725, 13207, 1534, 23191, 6131, 236810, 236819, 236761, 236819, 236810, 236768, 532, 9813, 1368, 6131, 236770, 236770, 236819, 236761, 236819, 236819, 769, 53399, 92578, 21212, 607, 4762, 4698, 236761, 138, 108, 7243, 108, 10354, 5213, 211199, 573, 10353, 6007, 66515, 138, 107, 236772, 5213, 8534, 24067, 66515, 5213, 7510, 236770, 236771, 236778, 236800, 5561, 106025, 1018, 573, 12132, 6733, 236764, 143670, 236764, 532, 5931, 14896, 568, 63914, 573, 1440, 24637, 769, 138, 107, 236772, 5213, 71653, 19993, 66515, 5213, 7510, 236770, 236771, 236771, 236770, 5490, 25261, 1018, 768, 611, 56856, 2157, 1024, 9691, 4065, 236761, 138, 107, 236772, 5213, 7510, 236770, 236771, 236771, 236810, 1255, 9004, 39406, 66515, 14537, 236772, 8572, 5086, 607, 7247, 236772, 34246, 14362, 14896, 236764, 840, 9128, 21212, 1680, 7408, 236761, 138, 108, 38786, 611, 1133, 1601, 91240, 1679, 2721, 580, 3530, 28304, 568, 236744, 236761, 236759, 1126, 7715, 236764, 5646, 4065, 236764, 5931, 20625, 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, 226319, 207827, 532, 1093, 1133, 531, 2426, 506, 1873, 8827, 3439, 528, 197724, 236764, 40496, 236764, 531, 2731, 1041, 9116, 236761, 18741, 236764, 564, 1461, 531, 1927, 4108, 236755, 1853, 528, 4257, 5711, 531, 5608, 506, 1873, 7606, 532, 22436, 4588, 528, 506, 4128, 236761, 3199, 611, 1601, 786, 607, 1800, 529, 1239, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 47340, 236779, 5909, 1083, 623, 114292, 827, 623, 7796, 1004, 1083, 623, 66476, 30583, 4785, 580, 1689, 16370, 3541, 197724, 3207, 3988, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 85038, 567, 1083, 623, 24501, 28540, 16266, 1343, 5054, 217263, 12960, 573, 11442, 4301, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 5166, 236755, 1853, 1083, 78493, 547, 1083, 623, 4110, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 236780, 605, 1364, 4085, 39657, 753, 226319, 207827, 98595, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 4834, 236786, 635, 236786, 16771, 1364, 236770, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 236775, 5237, 623, 7125, 1083, 3714, 13319, 1083, 623, 236780, 605, 1364, 827, 623, 14801, 1083, 623, 218471, 827, 623, 37673, 1083, 753, 236770, 236800, 236761, 236810, 236770, 236828, 236825, 236764, 623, 41713, 1083, 753, 236832, 236770, 236761, 236819, 236828, 236778, 236828, 5237, 3714, 547, 1083, 623, 5094, 236825, 236832, 236828, 236819, 236771, 827, 623, 3250, 1083, 623, 2315, 16847, 236785, 236756, 236771, 236771, 524, 814, 5348, 28789, 753, 27491, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 4834, 236786, 738, 236786, 1111, 1215, 2224, 236748, 236770, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236810, 236787, 236771, 236771, 236953, 236775, 5237, 623, 7125, 1083, 3714, 13319, 1083, 623, 2315, 16847, 236785, 236756, 236771, 236771, 524, 814, 827, 623, 14801, 1083, 623, 168033, 827, 623, 37673, 1083, 753, 236800, 236800, 236761, 236771, 236812, 236832, 236778, 236764, 623, 41713, 1083, 753, 236832, 236770, 236761, 236825, 236770, 236778, 236825, 5237, 3714, 547, 1083, 623, 1425, 236810, 236812, 236800, 236778, 236770, 827, 623, 3250, 1083, 623, 236836, 1179, 3271, 722, 17587, 32288, 753, 24423, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 4834, 236786, 516, 236786, 1974, 3271, 722, 236770, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236828, 236787, 236771, 236771, 236953, 236775, 5237, 623, 7125, 1083, 3714, 13319, 1083, 623, 236836, 1179, 3271, 722, 827, 623, 14801, 1083, 623, 109324, 827, 623, 37673, 1083, 753, 236810, 236812, 236761, 236828, 236771, 236832, 236778, 236764, 623, 41713, 1083, 753, 236825, 236828, 236761, 236800, 236771, 236812, 236812, 1807, 1604, 623, 101018, 1083, 623, 23425, 5711, 827, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236832, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 531, 1601, 2731, 822, 7946, 236787, 108, 1018, 60957, 528, 197724, 236764, 40496, 53121, 107, 236772, 14040, 8827, 1984, 236787, 90434, 107, 236772, 7106, 1004, 236787, 42388, 30583, 580, 1689, 16370, 3541, 197724, 3207, 3988, 107, 236772, 111506, 236787, 6890, 28540, 16266, 1343, 5054, 217263, 12960, 573, 11442, 4301, 107, 236772, 129969, 236787, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 108, 1018, 23425, 5711, 190283, 70731, 53121, 107, 236770, 236761, 5213, 236780, 605, 1364, 4085, 39657, 7455, 1018, 568, 64572, 226319, 207827, 16825, 236768, 107, 139, 236772, 15097, 2471, 31115, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 107, 139, 236772, 21617, 236787, 753, 236770, 236800, 236761, 236810, 236770, 236828, 236825, 237366, 236797, 236764, 753, 236832, 236770, 236761, 236819, 236828, 236778, 236828, 237366, 236824, 107, 139, 236772, 9466, 236787, 870, 2039, 1873, 8827, 5457, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 4834, 236786, 635, 236786, 16771, 1364, 236770, 236761, 4034, 236768, 108, 236778, 236761, 5213, 2315, 16847, 151230, 5348, 28789, 1018, 568, 168033, 236768, 107, 139, 236772, 34980, 2471, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236778, 236810, 59528, 107, 139, 236772, 21617, 236787, 753, 236800, 236800, 236761, 236771, 236812, 236832, 236778, 237366, 236773, 236764, 753, 236832, 236770, 236761, 236825, 236770, 236778, 236825, 237366, 236824, 107, 139, 236772, 9466, 236787, 870, 6845, 2411, 3439, 5457, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 4834, 236786, 738, 236786, 1111, 1215, 2224, 236748, 236770, 236761, 4034, 236768, 108, 236800, 236761, 5213, 236836, 1179, 3271, 722, 17587, 32288, 1018, 568, 109324, 236768, 107, 139, 236772, 43469, 4610, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236778, 236828, 59528, 107, 139, 236772, 21617, 236787, 753, 236810, 236812, 236761, 236828, 236771, 236832, 236778, 237366, 236773, 236764, 753, 236825, 236828, 236761, 236800, 236771, 236812, 236812, 237366, 236824, 107, 139, 236772, 9466, 236787, 870, 2039, 10565, 7606, 5457, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 4834, 236786, 516, 236786, 1974, 3271, 722, 236770, 236761, 4034, 236768, 108, 3810, 659, 236743, 236770, 236778, 236832, 4108, 236755, 1853, 2487, 3418, 4257, 5711, 568, 25903, 618, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236800, 236810, 59528, 769, 21284, 611, 1133, 531, 2426, 1027, 3530, 11024, 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 ]
[ 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, 226319, 207827, 532, 1093, 1133, 531, 2426, 506, 1873, 8827, 3439, 528, 197724, 236764, 40496, 236764, 531, 2731, 1041, 9116, 236761, 18741, 236764, 564, 1461, 531, 1927, 4108, 236755, 1853, 528, 4257, 5711, 531, 5608, 506, 1873, 7606, 532, 22436, 4588, 528, 506, 4128, 236761, 3199, 611, 1601, 786, 607, 1800, 529, 1239, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 47340, 236779, 5909, 1083, 623, 114292, 827, 623, 7796, 1004, 1083, 623, 66476, 30583, 4785, 580, 1689, 16370, 3541, 197724, 3207, 3988, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 85038, 567, 1083, 623, 24501, 28540, 16266, 1343, 5054, 217263, 12960, 573, 11442, 4301, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 5166, 236755, 1853, 1083, 78493, 547, 1083, 623, 4110, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 236780, 605, 1364, 4085, 39657, 753, 226319, 207827, 98595, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 4834, 236786, 635, 236786, 16771, 1364, 236770, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 236775, 5237, 623, 7125, 1083, 3714, 13319, 1083, 623, 236780, 605, 1364, 827, 623, 14801, 1083, 623, 218471, 827, 623, 37673, 1083, 753, 236770, 236800, 236761, 236810, 236770, 236828, 236825, 236764, 623, 41713, 1083, 753, 236832, 236770, 236761, 236819, 236828, 236778, 236828, 5237, 3714, 547, 1083, 623, 5094, 236825, 236832, 236828, 236819, 236771, 827, 623, 3250, 1083, 623, 2315, 16847, 236785, 236756, 236771, 236771, 524, 814, 5348, 28789, 753, 27491, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 4834, 236786, 738, 236786, 1111, 1215, 2224, 236748, 236770, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236810, 236787, 236771, 236771, 236953, 236775, 5237, 623, 7125, 1083, 3714, 13319, 1083, 623, 2315, 16847, 236785, 236756, 236771, 236771, 524, 814, 827, 623, 14801, 1083, 623, 168033, 827, 623, 37673, 1083, 753, 236800, 236800, 236761, 236771, 236812, 236832, 236778, 236764, 623, 41713, 1083, 753, 236832, 236770, 236761, 236825, 236770, 236778, 236825, 5237, 3714, 547, 1083, 623, 1425, 236810, 236812, 236800, 236778, 236770, 827, 623, 3250, 1083, 623, 236836, 1179, 3271, 722, 17587, 32288, 753, 24423, 827, 623, 3304, 1083, 3714, 4002, 1083, 3714, 19852, 1083, 623, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 4834, 236786, 516, 236786, 1974, 3271, 722, 236770, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236828, 236787, 236771, 236771, 236953, 236775, 5237, 623, 7125, 1083, 3714, 13319, 1083, 623, 236836, 1179, 3271, 722, 827, 623, 14801, 1083, 623, 109324, 827, 623, 37673, 1083, 753, 236810, 236812, 236761, 236828, 236771, 236832, 236778, 236764, 623, 41713, 1083, 753, 236825, 236828, 236761, 236800, 236771, 236812, 236812, 1807, 1604, 623, 101018, 1083, 623, 23425, 5711, 827, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236832, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236810, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 531, 1601, 2731, 822, 7946, 236787, 108, 1018, 60957, 528, 197724, 236764, 40496, 53121, 107, 236772, 14040, 8827, 1984, 236787, 90434, 107, 236772, 7106, 1004, 236787, 42388, 30583, 580, 1689, 16370, 3541, 197724, 3207, 3988, 107, 236772, 111506, 236787, 6890, 28540, 16266, 1343, 5054, 217263, 12960, 573, 11442, 4301, 107, 236772, 129969, 236787, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 108, 1018, 23425, 5711, 190283, 70731, 53121, 107, 236770, 236761, 5213, 236780, 605, 1364, 4085, 39657, 7455, 1018, 568, 64572, 226319, 207827, 16825, 236768, 107, 139, 236772, 15097, 2471, 31115, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 107, 139, 236772, 21617, 236787, 753, 236770, 236800, 236761, 236810, 236770, 236828, 236825, 237366, 236797, 236764, 753, 236832, 236770, 236761, 236819, 236828, 236778, 236828, 237366, 236824, 107, 139, 236772, 9466, 236787, 870, 2039, 1873, 8827, 5457, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 4834, 236786, 635, 236786, 16771, 1364, 236770, 236761, 4034, 236768, 108, 236778, 236761, 5213, 2315, 16847, 151230, 5348, 28789, 1018, 568, 168033, 236768, 107, 139, 236772, 34980, 2471, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236778, 236810, 59528, 107, 139, 236772, 21617, 236787, 753, 236800, 236800, 236761, 236771, 236812, 236832, 236778, 237366, 236773, 236764, 753, 236832, 236770, 236761, 236825, 236770, 236778, 236825, 237366, 236824, 107, 139, 236772, 9466, 236787, 870, 6845, 2411, 3439, 5457, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 4834, 236786, 738, 236786, 1111, 1215, 2224, 236748, 236770, 236761, 4034, 236768, 108, 236800, 236761, 5213, 236836, 1179, 3271, 722, 17587, 32288, 1018, 568, 109324, 236768, 107, 139, 236772, 43469, 4610, 236787, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236778, 236828, 59528, 107, 139, 236772, 21617, 236787, 753, 236810, 236812, 236761, 236828, 236771, 236832, 236778, 237366, 236773, 236764, 753, 236825, 236828, 236761, 236800, 236771, 236812, 236812, 237366, 236824, 107, 139, 236772, 9466, 236787, 870, 2039, 10565, 7606, 5457, 2574, 1411, 5166, 15035, 6458, 236761, 854, 236786, 4834, 236786, 516, 236786, 1974, 3271, 722, 236770, 236761, 4034, 236768, 108, 3810, 659, 236743, 236770, 236778, 236832, 4108, 236755, 1853, 2487, 3418, 4257, 5711, 568, 25903, 618, 529, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236800, 236810, 59528, 769, 21284, 611, 1133, 531, 2426, 1027, 3530, 11024, 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, 1461, 531, 18840, 26100, 4241, 26844, 573, 506, 19992, 9654, 236761, 5315, 236764, 33205, 506, 6524, 19992, 9654, 90915, 531, 8701, 506, 1903, 236743, 236800, 7974, 236761, 4298, 236764, 1161, 48883, 3514, 236778, 531, 10769, 34637, 26844, 532, 14906, 573, 1239, 7974, 236789, 16038, 12853, 236761, 13472, 236764, 1161, 48883, 3514, 531, 1977, 496, 14971, 106315, 580, 506, 2434, 607, 506, 1346, 27661, 26844, 532, 3736, 19455, 236761, 9996, 2889, 1546, 2918, 6178, 506, 2536, 699, 506, 3527, 886, 531, 1573, 506, 2148, 2970, 236761, 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, 236828, 236819, 236764, 623, 845, 1083, 623, 46489, 236798, 31284, 23179, 3714, 3473, 1083, 236743, 236778, 236764, 623, 14992, 1083, 623, 123217, 827, 623, 11116, 1083, 236743, 236828, 236825, 236764, 623, 845, 1083, 623, 236824, 31284, 98040, 23179, 3714, 3473, 1083, 236743, 236800, 236764, 623, 14992, 1083, 623, 98125, 827, 623, 11116, 1083, 236743, 236828, 236812, 236764, 623, 845, 1083, 623, 42771, 236798, 46489, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236778, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 88933, 236779, 15443, 1083, 3714, 68925, 1083, 11058, 74246, 4085, 827, 623, 123217, 827, 623, 98125, 14255, 623, 170194, 236779, 25541, 1083, 78493, 10480, 1083, 623, 74246, 4085, 7728, 64112, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236810, 827, 623, 79692, 1083, 3714, 6328, 1083, 236743, 236770, 236761, 236812, 236810, 236764, 623, 6736, 1083, 236743, 236812, 236761, 236778, 236764, 623, 10558, 1083, 236743, 236832, 236761, 236828, 1263, 623, 2478, 236779, 23251, 1083, 3714, 845, 1083, 623, 46489, 103548, 827, 623, 42638, 10420, 1083, 236743, 236778, 236764, 623, 18553, 236779, 1163, 8494, 1083, 623, 236825, 236778, 38032, 5237, 3714, 10480, 1083, 623, 123217, 7728, 19127, 3640, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236812, 827, 623, 79692, 1083, 3714, 6328, 1083, 236743, 236770, 236761, 236819, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236825, 236764, 623, 10558, 1083, 236743, 236812, 236761, 236771, 1263, 623, 2478, 236779, 23251, 1083, 3714, 845, 1083, 623, 236824, 30455, 236824, 827, 623, 42638, 10420, 1083, 236743, 236770, 236764, 623, 18553, 236779, 1163, 8494, 1083, 623, 236810, 236828, 38032, 5237, 3714, 10480, 1083, 623, 98125, 7728, 28724, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236825, 827, 623, 79692, 1083, 3714, 6328, 1083, 236743, 236778, 236761, 236770, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236812, 236764, 623, 10558, 1083, 236743, 236800, 236761, 236778, 1263, 623, 2478, 236779, 23251, 1083, 3714, 845, 1083, 623, 31284, 2182, 827, 623, 42638, 10420, 1083, 236743, 236800, 236764, 623, 18553, 236779, 1163, 8494, 1083, 623, 236810, 236810, 38032, 1807, 1604, 623, 88933, 236779, 29263, 1083, 3714, 78353, 236779, 6328, 236779, 79692, 1083, 623, 98125, 568, 236778, 236761, 236770, 22730, 623, 9783, 236779, 845, 1083, 623, 74246, 4085, 827, 623, 117835, 236779, 42638, 10420, 1083, 623, 123217, 827, 623, 62353, 236779, 155103, 1083, 11058, 123217, 20885, 236743, 236770, 236761, 236819, 827, 623, 98125, 708, 236778, 236761, 236810, 236743, 236778, 236761, 236800, 1935, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5106, 1083, 623, 123217, 7728, 19127, 3640, 827, 623, 8245, 236779, 2084, 1083, 623, 34899, 1257, 827, 623, 79692, 1083, 236743, 236770, 236761, 236819, 236764, 623, 4818, 1083, 623, 87877, 827, 623, 236765, 2928, 236779, 547, 1083, 623, 236824, 11124, 236812, 236810, 236825, 236832, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 14971, 106315, 815, 1010, 7006, 580, 38894, 531, 3345, 2342, 19127, 3640, 657, 3273, 1257, 26844, 529, 236743, 236770, 236761, 236819, 236761, 5715, 236789, 236751, 506, 26093, 236787, 108, 1018, 17056, 20303, 53121, 107, 236772, 5213, 3500, 53121, 38894, 7728, 19127, 3640, 107, 236772, 5213, 17056, 9250, 53121, 22100, 1257, 107, 236772, 5213, 127755, 53121, 236743, 236770, 236761, 236819, 107, 236772, 5213, 6717, 53121, 13810, 8593, 107, 236772, 5213, 236824, 2928, 5853, 53121, 649, 11124, 236812, 236810, 236825, 236832, 236828, 107, 236772, 5213, 40573, 53121, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236743, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 59528, 108, 1018, 224693, 53121, 107, 236772, 38894, 13646, 3188, 1183, 568, 236824, 30455, 236824, 236768, 607, 11893, 15703, 568, 236770, 4155, 236768, 107, 236772, 9963, 4398, 17274, 568, 236810, 236828, 11376, 11387, 2256, 528, 4803, 12853, 107, 236772, 669, 236743, 236770, 236761, 236819, 26844, 2729, 27661, 1550, 5483, 531, 25818, 236789, 236751, 3715, 236772, 37716, 236743, 236778, 236761, 236770, 26844, 107, 236772, 34641, 90915, 1407, 38894, 236789, 236751, 9958, 3736, 568, 236828, 236825, 3298, 528, 236743, 236778, 236771, 236778, 236800, 3409, 236768, 108, 38786, 611, 1133, 531, 7020, 672, 1146, 653, 18840, 4767, 12853, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 18840, 26100, 4241, 26844, 573, 506, 19992, 9654, 236761, 5315, 236764, 33205, 506, 6524, 19992, 9654, 90915, 531, 8701, 506, 1903, 236743, 236800, 7974, 236761, 4298, 236764, 1161, 48883, 3514, 236778, 531, 10769, 34637, 26844, 532, 14906, 573, 1239, 7974, 236789, 16038, 12853, 236761, 13472, 236764, 1161, 48883, 3514, 531, 1977, 496, 14971, 106315, 580, 506, 2434, 607, 506, 1346, 27661, 26844, 532, 3736, 19455, 236761, 9996, 2889, 1546, 2918, 6178, 506, 2536, 699, 506, 3527, 886, 531, 1573, 506, 2148, 2970, 236761, 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, 236828, 236819, 236764, 623, 845, 1083, 623, 46489, 236798, 31284, 23179, 3714, 3473, 1083, 236743, 236778, 236764, 623, 14992, 1083, 623, 123217, 827, 623, 11116, 1083, 236743, 236828, 236825, 236764, 623, 845, 1083, 623, 236824, 31284, 98040, 23179, 3714, 3473, 1083, 236743, 236800, 236764, 623, 14992, 1083, 623, 98125, 827, 623, 11116, 1083, 236743, 236828, 236812, 236764, 623, 845, 1083, 623, 42771, 236798, 46489, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236778, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 88933, 236779, 15443, 1083, 3714, 68925, 1083, 11058, 74246, 4085, 827, 623, 123217, 827, 623, 98125, 14255, 623, 170194, 236779, 25541, 1083, 78493, 10480, 1083, 623, 74246, 4085, 7728, 64112, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236810, 827, 623, 79692, 1083, 3714, 6328, 1083, 236743, 236770, 236761, 236812, 236810, 236764, 623, 6736, 1083, 236743, 236812, 236761, 236778, 236764, 623, 10558, 1083, 236743, 236832, 236761, 236828, 1263, 623, 2478, 236779, 23251, 1083, 3714, 845, 1083, 623, 46489, 103548, 827, 623, 42638, 10420, 1083, 236743, 236778, 236764, 623, 18553, 236779, 1163, 8494, 1083, 623, 236825, 236778, 38032, 5237, 3714, 10480, 1083, 623, 123217, 7728, 19127, 3640, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236812, 827, 623, 79692, 1083, 3714, 6328, 1083, 236743, 236770, 236761, 236819, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236825, 236764, 623, 10558, 1083, 236743, 236812, 236761, 236771, 1263, 623, 2478, 236779, 23251, 1083, 3714, 845, 1083, 623, 236824, 30455, 236824, 827, 623, 42638, 10420, 1083, 236743, 236770, 236764, 623, 18553, 236779, 1163, 8494, 1083, 623, 236810, 236828, 38032, 5237, 3714, 10480, 1083, 623, 98125, 7728, 28724, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236825, 827, 623, 79692, 1083, 3714, 6328, 1083, 236743, 236778, 236761, 236770, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236812, 236764, 623, 10558, 1083, 236743, 236800, 236761, 236778, 1263, 623, 2478, 236779, 23251, 1083, 3714, 845, 1083, 623, 31284, 2182, 827, 623, 42638, 10420, 1083, 236743, 236800, 236764, 623, 18553, 236779, 1163, 8494, 1083, 623, 236810, 236810, 38032, 1807, 1604, 623, 88933, 236779, 29263, 1083, 3714, 78353, 236779, 6328, 236779, 79692, 1083, 623, 98125, 568, 236778, 236761, 236770, 22730, 623, 9783, 236779, 845, 1083, 623, 74246, 4085, 827, 623, 117835, 236779, 42638, 10420, 1083, 623, 123217, 827, 623, 62353, 236779, 155103, 1083, 11058, 123217, 20885, 236743, 236770, 236761, 236819, 827, 623, 98125, 708, 236778, 236761, 236810, 236743, 236778, 236761, 236800, 1935, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5106, 1083, 623, 123217, 7728, 19127, 3640, 827, 623, 8245, 236779, 2084, 1083, 623, 34899, 1257, 827, 623, 79692, 1083, 236743, 236770, 236761, 236819, 236764, 623, 4818, 1083, 623, 87877, 827, 623, 236765, 2928, 236779, 547, 1083, 623, 236824, 11124, 236812, 236810, 236825, 236832, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 818, 14971, 106315, 815, 1010, 7006, 580, 38894, 531, 3345, 2342, 19127, 3640, 657, 3273, 1257, 26844, 529, 236743, 236770, 236761, 236819, 236761, 5715, 236789, 236751, 506, 26093, 236787, 108, 1018, 17056, 20303, 53121, 107, 236772, 5213, 3500, 53121, 38894, 7728, 19127, 3640, 107, 236772, 5213, 17056, 9250, 53121, 22100, 1257, 107, 236772, 5213, 127755, 53121, 236743, 236770, 236761, 236819, 107, 236772, 5213, 6717, 53121, 13810, 8593, 107, 236772, 5213, 236824, 2928, 5853, 53121, 649, 11124, 236812, 236810, 236825, 236832, 236828, 107, 236772, 5213, 40573, 53121, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236743, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 59528, 108, 1018, 224693, 53121, 107, 236772, 38894, 13646, 3188, 1183, 568, 236824, 30455, 236824, 236768, 607, 11893, 15703, 568, 236770, 4155, 236768, 107, 236772, 9963, 4398, 17274, 568, 236810, 236828, 11376, 11387, 2256, 528, 4803, 12853, 107, 236772, 669, 236743, 236770, 236761, 236819, 26844, 2729, 27661, 1550, 5483, 531, 25818, 236789, 236751, 3715, 236772, 37716, 236743, 236778, 236761, 236770, 26844, 107, 236772, 34641, 90915, 1407, 38894, 236789, 236751, 9958, 3736, 568, 236828, 236825, 3298, 528, 236743, 236778, 236771, 236778, 236800, 3409, 236768, 108, 38786, 611, 1133, 531, 7020, 672, 1146, 653, 18840, 4767, 12853, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11947, 12399, 236761, 564, 236789, 560, 1010, 22658, 8511, 573, 1041, 152175, 532, 7976, 531, 30493, 1041, 19722, 573, 22555, 236761, 28344, 611, 1601, 786, 12270, 1041, 31740, 19722, 1694, 1699, 506, 3353, 236745, 3677, 9299, 236881, 564, 4646, 506, 5705, 5853, 563, 3016, 28331, 528, 822, 1458, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 12270, 822, 31740, 19722, 1694, 1699, 506, 3353, 236745, 3677, 9299, 236761, 2282, 7162, 236764, 564, 236789, 859, 1202, 506, 3530, 5154, 5705, 5853, 5143, 607, 822, 3353, 236745, 3677, 31740, 2509, 236761, 28344, 611, 5091, 2847, 506, 2165, 5275, 236779, 547, 236929, 7689, 573, 822, 28331, 5705, 236881, 106, 107, 105, 2364, 107, 24019, 236764, 11262, 236764, 564, 8601, 625, 1679, 528, 1041, 8884, 1308, 6514, 872, 506, 5705, 236761, 669, 2165, 5275, 236779, 547, 236929, 563, 5213, 236823, 930, 2624, 236779, 120053, 236773, 236779, 236771, 236771, 236770, 84750, 564, 26777, 625, 993, 1208, 756, 11905, 7017, 7879, 753, 31740, 43645, 236789, 573, 3735, 5577, 236761, 3792, 786, 1281, 3622, 611, 33205, 506, 19722, 237028, 236777, 236858, 236753, 1133, 531, 4071, 236772, 30449, 1091, 607, 1041, 7194, 8687, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 38922, 1083, 78493, 1201, 1083, 623, 9231, 236761, 71918, 126938, 827, 623, 5640, 1083, 10955, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 23179, 3714, 1201, 1083, 623, 109917, 143569, 827, 623, 5640, 1083, 10955, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236778, 23179, 3714, 1201, 1083, 623, 236776, 211054, 60175, 827, 623, 5640, 1083, 10955, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236800, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 52236, 31740, 19722, 1694, 699, 506, 3353, 236745, 3677, 5705, 236787, 108, 1018, 11905, 7017, 7879, 90404, 53121, 107, 236772, 3587, 236761, 71918, 126938, 32156, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236768, 107, 236772, 26892, 143569, 32156, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236778, 236768, 107, 236772, 562, 211054, 60175, 32156, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236800, 236768, 108, 236777, 236789, 560, 45047, 672, 618, 496, 3980, 5577, 1694, 573, 822, 7194, 8687, 236761, 21284, 611, 1133, 786, 531, 11264, 672, 618, 496, 45412, 2129, 653, 1138, 1027, 4767, 28436, 568, 5282, 7194, 14069, 236786, 23184, 236768, 531, 672, 1694, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 67896, 506, 19722, 236761, 564, 236858, 236753, 1133, 531, 1138, 4553, 19246, 531, 1239, 16227, 573, 1500, 236772, 1048, 29252, 236761, 28344, 611, 1161, 506, 3927, 236779, 113907, 5904, 531, 1586, 910, 5707, 24157, 236881, 6890, 5213, 18112, 236761, 854, 1018, 618, 506, 8610, 532, 3927, 573, 506, 5618, 236787, 808, 9231, 236761, 71918, 126938, 236764, 26892, 143569, 236764, 562, 211054, 60175, 22429, 564, 15690, 901, 1149, 1161, 3577, 10789, 236764, 840, 625, 236858, 236751, 5367, 16329, 236761, 1637, 951, 2536, 3761, 236764, 692, 236858, 859, 2056, 24085, 26104, 2148, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 13395, 236779, 113907, 1083, 78493, 1201, 1083, 623, 9231, 236761, 71918, 126938, 827, 623, 6774, 1083, 623, 535, 3320, 236761, 4545, 37300, 236940, 18112, 236761, 854, 23179, 3714, 1201, 1083, 623, 109917, 143569, 827, 623, 6774, 1083, 623, 236751, 236761, 195210, 4555, 236940, 18112, 236761, 854, 23179, 3714, 1201, 1083, 623, 236776, 211054, 60175, 827, 623, 6774, 1083, 623, 571, 125764, 236761, 3164, 535, 236940, 18112, 236761, 854, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 19645, 236779, 3456, 1083, 623, 18112, 236761, 854, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 10448, 19722, 1694, 607, 5707, 4553, 19246, 1765, 528, 5213, 18112, 236761, 854, 66515, 108, 1018, 11905, 7017, 7879, 90404, 53121, 107, 236770, 236761, 5213, 9231, 236761, 71918, 126938, 1018, 138, 107, 139, 245215, 900, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 138, 107, 139, 249979, 862, 3320, 236761, 4545, 37300, 236940, 18112, 236761, 854, 108, 236778, 236761, 5213, 109917, 143569, 1018, 138, 107, 139, 245215, 900, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236778, 138, 107, 139, 249979, 503, 236761, 195210, 4555, 236940, 18112, 236761, 854, 108, 236800, 236761, 5213, 236776, 211054, 60175, 1018, 138, 107, 139, 245215, 900, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236800, 138, 107, 139, 249979, 496, 211054, 236761, 3164, 535, 236940, 18112, 236761, 854, 108, 3243, 1806, 4553, 19246, 964, 10428, 1765, 528, 506, 64515, 8610, 236761, 21284, 611, 1133, 786, 531, 16807, 506, 33413, 28100, 529, 1239, 24157, 653, 6518, 672, 618, 496, 110718, 3662, 1694, 568, 53445, 236786, 12324, 20625, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11947, 12399, 236761, 564, 236789, 560, 1010, 22658, 8511, 573, 1041, 152175, 532, 7976, 531, 30493, 1041, 19722, 573, 22555, 236761, 28344, 611, 1601, 786, 12270, 1041, 31740, 19722, 1694, 1699, 506, 3353, 236745, 3677, 9299, 236881, 564, 4646, 506, 5705, 5853, 563, 3016, 28331, 528, 822, 1458, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 12270, 822, 31740, 19722, 1694, 1699, 506, 3353, 236745, 3677, 9299, 236761, 2282, 7162, 236764, 564, 236789, 859, 1202, 506, 3530, 5154, 5705, 5853, 5143, 607, 822, 3353, 236745, 3677, 31740, 2509, 236761, 28344, 611, 5091, 2847, 506, 2165, 5275, 236779, 547, 236929, 7689, 573, 822, 28331, 5705, 236881, 106, 107, 105, 2364, 107, 24019, 236764, 11262, 236764, 564, 8601, 625, 1679, 528, 1041, 8884, 1308, 6514, 872, 506, 5705, 236761, 669, 2165, 5275, 236779, 547, 236929, 563, 5213, 236823, 930, 2624, 236779, 120053, 236773, 236779, 236771, 236771, 236770, 84750, 564, 26777, 625, 993, 1208, 756, 11905, 7017, 7879, 753, 31740, 43645, 236789, 573, 3735, 5577, 236761, 3792, 786, 1281, 3622, 611, 33205, 506, 19722, 237028, 236777, 236858, 236753, 1133, 531, 4071, 236772, 30449, 1091, 607, 1041, 7194, 8687, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 38922, 1083, 78493, 1201, 1083, 623, 9231, 236761, 71918, 126938, 827, 623, 5640, 1083, 10955, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 23179, 3714, 1201, 1083, 623, 109917, 143569, 827, 623, 5640, 1083, 10955, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236778, 23179, 3714, 1201, 1083, 623, 236776, 211054, 60175, 827, 623, 5640, 1083, 10955, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236800, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 52236, 31740, 19722, 1694, 699, 506, 3353, 236745, 3677, 5705, 236787, 108, 1018, 11905, 7017, 7879, 90404, 53121, 107, 236772, 3587, 236761, 71918, 126938, 32156, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236768, 107, 236772, 26892, 143569, 32156, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236778, 236768, 107, 236772, 562, 211054, 60175, 32156, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236800, 236768, 108, 236777, 236789, 560, 45047, 672, 618, 496, 3980, 5577, 1694, 573, 822, 7194, 8687, 236761, 21284, 611, 1133, 786, 531, 11264, 672, 618, 496, 45412, 2129, 653, 1138, 1027, 4767, 28436, 568, 5282, 7194, 14069, 236786, 23184, 236768, 531, 672, 1694, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 67896, 506, 19722, 236761, 564, 236858, 236753, 1133, 531, 1138, 4553, 19246, 531, 1239, 16227, 573, 1500, 236772, 1048, 29252, 236761, 28344, 611, 1161, 506, 3927, 236779, 113907, 5904, 531, 1586, 910, 5707, 24157, 236881, 6890, 5213, 18112, 236761, 854, 1018, 618, 506, 8610, 532, 3927, 573, 506, 5618, 236787, 808, 9231, 236761, 71918, 126938, 236764, 26892, 143569, 236764, 562, 211054, 60175, 22429, 564, 15690, 901, 1149, 1161, 3577, 10789, 236764, 840, 625, 236858, 236751, 5367, 16329, 236761, 1637, 951, 2536, 3761, 236764, 692, 236858, 859, 2056, 24085, 26104, 2148, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 13395, 236779, 113907, 1083, 78493, 1201, 1083, 623, 9231, 236761, 71918, 126938, 827, 623, 6774, 1083, 623, 535, 3320, 236761, 4545, 37300, 236940, 18112, 236761, 854, 23179, 3714, 1201, 1083, 623, 109917, 143569, 827, 623, 6774, 1083, 623, 236751, 236761, 195210, 4555, 236940, 18112, 236761, 854, 23179, 3714, 1201, 1083, 623, 236776, 211054, 60175, 827, 623, 6774, 1083, 623, 571, 125764, 236761, 3164, 535, 236940, 18112, 236761, 854, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 19645, 236779, 3456, 1083, 623, 18112, 236761, 854, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 10448, 19722, 1694, 607, 5707, 4553, 19246, 1765, 528, 5213, 18112, 236761, 854, 66515, 108, 1018, 11905, 7017, 7879, 90404, 53121, 107, 236770, 236761, 5213, 9231, 236761, 71918, 126938, 1018, 138, 107, 139, 245215, 900, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 138, 107, 139, 249979, 862, 3320, 236761, 4545, 37300, 236940, 18112, 236761, 854, 108, 236778, 236761, 5213, 109917, 143569, 1018, 138, 107, 139, 245215, 900, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236778, 138, 107, 139, 249979, 503, 236761, 195210, 4555, 236940, 18112, 236761, 854, 108, 236800, 236761, 5213, 236776, 211054, 60175, 1018, 138, 107, 139, 245215, 900, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236800, 138, 107, 139, 249979, 496, 211054, 236761, 3164, 535, 236940, 18112, 236761, 854, 108, 3243, 1806, 4553, 19246, 964, 10428, 1765, 528, 506, 64515, 8610, 236761, 21284, 611, 1133, 786, 531, 16807, 506, 33413, 28100, 529, 1239, 24157, 653, 6518, 672, 618, 496, 110718, 3662, 1694, 568, 53445, 236786, 12324, 20625, 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, 2822, 10739, 573, 1023, 16038, 623, 135673, 569, 85024, 18878, 907, 504, 18849, 10560, 236775, 2460, 61381, 531, 4024, 580, 2777, 4009, 236761, 669, 2587, 10739, 563, 4560, 1411, 2769, 236761, 504, 1591, 24120, 236757, 7311, 3873, 236761, 2187, 236786, 236778, 236771, 236778, 236812, 236772, 8028, 11903, 236772, 26880, 236772, 50771, 236772, 134350, 236761, 3199, 611, 8729, 496, 31803, 2822, 3205, 1133, 623, 504, 26636, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 236775, 532, 5330, 625, 16710, 15154, 19455, 573, 1023, 43285, 2434, 236881, 106, 107, 105, 4368, 107, 236777, 3914, 5467, 2619, 653, 6818, 861, 2822, 60973, 1699, 506, 2487, 6436, 236761, 669, 3847, 5151, 1186, 1894, 236787, 107, 236770, 236761, 49877, 522, 6330, 2822, 60973, 20442, 22542, 236779, 15721, 2451, 18833, 107, 236778, 236761, 28356, 872, 28436, 573, 6330, 2822, 60973, 20442, 2451, 236779, 15721, 2451, 18833, 108, 2021, 2619, 496, 861, 2822, 3205, 1133, 623, 504, 26636, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 827, 611, 1093, 1202, 531, 1161, 496, 10739, 92658, 2509, 568, 236744, 236761, 236759, 1126, 14284, 586, 236764, 79938, 6738, 236768, 653, 822, 6261, 236789, 236751, 6145, 3205, 3997, 1458, 236761, 9920, 4464, 236764, 564, 740, 1601, 4087, 15154, 19455, 1343, 506, 2165, 22542, 236779, 15721, 2451, 236929, 1292, 653, 33205, 4889, 1699, 2165, 2451, 236779, 15721, 2451, 21233, 106, 107, 105, 2364, 107, 14713, 12450, 236888, 5612, 692, 740, 236789, 236745, 2619, 861, 2822, 60973, 5467, 236764, 564, 236789, 859, 1202, 531, 1171, 8729, 672, 1343, 1023, 8268, 236789, 236751, 15840, 2434, 1015, 36371, 1023, 55552, 2822, 9851, 236761, 9920, 901, 1076, 872, 623, 504, 26636, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 236775, 1699, 1023, 14284, 586, 18315, 2881, 236764, 740, 611, 1601, 786, 16807, 506, 16074, 6137, 659, 15195, 28331, 236881, 564, 1461, 531, 5330, 692, 740, 7020, 2777, 4009, 15154, 19455, 1343, 1023, 6330, 26545, 36112, 3622, 506, 3205, 5899, 3892, 236761, 106, 107, 105, 4368, 107, 14946, 822, 15840, 2434, 14004, 506, 2822, 10739, 623, 504, 26636, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 236775, 528, 14284, 586, 236764, 611, 740, 16807, 506, 16074, 9831, 1699, 506, 6436, 564, 735, 2802, 531, 236787, 108, 236770, 236761, 5213, 6845, 28436, 66515, 564, 740, 1161, 506, 2165, 2451, 236779, 15721, 2451, 236929, 5904, 531, 33205, 506, 15744, 10739, 532, 5143, 28436, 573, 623, 504, 26636, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 3056, 1174, 795, 1407, 768, 159142, 6137, 568, 236744, 236761, 236759, 1126, 2165, 81702, 236779, 6265, 8347, 2165, 81702, 236779, 28602, 18833, 964, 9668, 40329, 573, 16074, 2777, 4009, 24742, 236761, 108, 236778, 236761, 5213, 3694, 196845, 66515, 564, 740, 1161, 506, 2165, 22542, 236779, 15721, 2451, 236929, 5904, 531, 43928, 496, 4845, 580, 506, 73625, 3205, 236764, 837, 1093, 13018, 14284, 586, 236789, 236751, 16074, 15106, 532, 16807, 768, 15154, 19455, 659, 1646, 17755, 15195, 236761, 108, 6481, 786, 1281, 1056, 506, 3205, 563, 3892, 236764, 532, 564, 236789, 859, 1601, 18855, 506, 16074, 10884, 236888, 106, 107, 105, 2364, 107, 818, 3205, 623, 504, 26636, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 236775, 563, 1492, 3892, 236888, 5315, 236764, 740, 611, 2426, 1061, 28436, 1699, 2165, 2451, 236779, 15721, 2451, 236929, 531, 9128, 506, 159142, 16074, 6137, 4241, 1023, 2777, 4009, 7073, 2731, 568, 236744, 236761, 236759, 1126, 2165, 81702, 236779, 6265, 236784, 21254, 236880, 81702, 236779, 28602, 236784, 5106, 236779, 3274, 18833, 236881, 4298, 236764, 1161, 2165, 22542, 236779, 15721, 2451, 236929, 531, 43928, 496, 1594, 4845, 532, 16807, 506, 14284, 586, 16074, 22308, 29371, 15195, 236761, 1174, 795, 5330, 1023, 19455, 12203, 1800, 3738, 236786, 28602, 88082, 532, 2558, 4845, 236772, 17429, 6224, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 43505, 236779, 2451, 1083, 623, 2574, 1411, 80158, 236761, 8358, 236761, 854, 236786, 504, 26636, 236772, 5106, 236881, 81702, 236779, 6265, 236784, 21254, 236880, 81702, 236779, 28602, 236784, 5106, 236779, 3274, 236880, 81702, 236779, 80158, 236784, 22504, 236778, 236771, 236778, 236812, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 26514, 236779, 23251, 1083, 3714, 227295, 1083, 236743, 236771, 236764, 623, 20738, 236779, 50640, 1083, 236743, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 34598, 236779, 2451, 1083, 623, 2574, 1411, 5106, 585, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 236786, 504, 26636, 236881, 81702, 236779, 6265, 236784, 21254, 236880, 81702, 236779, 28602, 236784, 5106, 236779, 3274, 236880, 81702, 236779, 80158, 236784, 22504, 236778, 236771, 236778, 236812, 827, 623, 55477, 236779, 33853, 236779, 4818, 1083, 623, 63495, 827, 623, 4513, 236779, 547, 1083, 623, 1692, 236772, 236778, 236771, 236778, 236812, 236771, 236825, 236778, 236771, 236772, 236828, 236828, 236832, 236770, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 29263, 236779, 188680, 1083, 3714, 6265, 1083, 623, 21254, 827, 623, 28602, 1083, 623, 5106, 236779, 3274, 827, 623, 80158, 1083, 623, 22504, 236778, 236771, 236778, 236812, 827, 623, 6725, 236779, 227295, 1083, 236743, 236770, 236778, 236832, 236828, 1807, 106, 107, 105, 4368, 107, 818, 28436, 532, 16074, 28250, 573, 623, 504, 26636, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 236775, 659, 10778, 6595, 236787, 108, 236770, 236761, 5213, 2170, 236792, 36126, 30638, 774, 1018, 138, 107, 139, 818, 15744, 10739, 5132, 822, 7073, 236772, 15396, 16074, 6137, 236787, 138, 107, 139, 236929, 81702, 236779, 6265, 236784, 21254, 236880, 81702, 236779, 28602, 236784, 5106, 236779, 3274, 236880, 81702, 236779, 80158, 236784, 22504, 236778, 236771, 236778, 236812, 236929, 138, 107, 139, 236769, 25541, 822, 2777, 4009, 7073, 2731, 7121, 236768, 108, 236778, 236761, 5213, 58791, 23531, 1018, 138, 107, 139, 818, 1594, 4845, 33844, 14284, 586, 236789, 236751, 16074, 22308, 236764, 532, 506, 3072, 44898, 236787, 138, 107, 139, 236772, 64608, 22308, 4981, 236787, 5213, 236775, 63495, 236775, 1018, 138, 107, 139, 236772, 11738, 5853, 236787, 2165, 1692, 236772, 236778, 236771, 236778, 236812, 236771, 236825, 236778, 236771, 236772, 236828, 236828, 236832, 236770, 236929, 568, 53746, 573, 88082, 236768, 138, 107, 139, 236772, 10170, 236772, 2289, 19455, 5249, 236787, 138, 107, 141, 2717, 3723, 107, 141, 236782, 107, 143, 236775, 6265, 1083, 623, 21254, 827, 107, 143, 236775, 28602, 1083, 623, 5106, 236779, 3274, 827, 107, 143, 236775, 80158, 1083, 623, 22504, 236778, 236771, 236778, 236812, 827, 107, 143, 236775, 6725, 236779, 227295, 1083, 236743, 236770, 236778, 236832, 236828, 107, 141, 236783, 107, 141, 2717, 108, 11069, 3205, 563, 6340, 17934, 573, 1800, 88082, 16074, 532, 4845, 236772, 17429, 3136, 11734, 236761, 669, 43285, 2434, 740, 1492, 1927, 3892, 15154, 19455, 528, 822, 26545, 36112, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2619, 496, 2822, 10739, 573, 1023, 16038, 623, 135673, 569, 85024, 18878, 907, 504, 18849, 10560, 236775, 2460, 61381, 531, 4024, 580, 2777, 4009, 236761, 669, 2587, 10739, 563, 4560, 1411, 2769, 236761, 504, 1591, 24120, 236757, 7311, 3873, 236761, 2187, 236786, 236778, 236771, 236778, 236812, 236772, 8028, 11903, 236772, 26880, 236772, 50771, 236772, 134350, 236761, 3199, 611, 8729, 496, 31803, 2822, 3205, 1133, 623, 504, 26636, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 236775, 532, 5330, 625, 16710, 15154, 19455, 573, 1023, 43285, 2434, 236881, 106, 107, 105, 4368, 107, 236777, 3914, 5467, 2619, 653, 6818, 861, 2822, 60973, 1699, 506, 2487, 6436, 236761, 669, 3847, 5151, 1186, 1894, 236787, 107, 236770, 236761, 49877, 522, 6330, 2822, 60973, 20442, 22542, 236779, 15721, 2451, 18833, 107, 236778, 236761, 28356, 872, 28436, 573, 6330, 2822, 60973, 20442, 2451, 236779, 15721, 2451, 18833, 108, 2021, 2619, 496, 861, 2822, 3205, 1133, 623, 504, 26636, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 827, 611, 1093, 1202, 531, 1161, 496, 10739, 92658, 2509, 568, 236744, 236761, 236759, 1126, 14284, 586, 236764, 79938, 6738, 236768, 653, 822, 6261, 236789, 236751, 6145, 3205, 3997, 1458, 236761, 9920, 4464, 236764, 564, 740, 1601, 4087, 15154, 19455, 1343, 506, 2165, 22542, 236779, 15721, 2451, 236929, 1292, 653, 33205, 4889, 1699, 2165, 2451, 236779, 15721, 2451, 21233, 106, 107, 105, 2364, 107, 14713, 12450, 236888, 5612, 692, 740, 236789, 236745, 2619, 861, 2822, 60973, 5467, 236764, 564, 236789, 859, 1202, 531, 1171, 8729, 672, 1343, 1023, 8268, 236789, 236751, 15840, 2434, 1015, 36371, 1023, 55552, 2822, 9851, 236761, 9920, 901, 1076, 872, 623, 504, 26636, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 236775, 1699, 1023, 14284, 586, 18315, 2881, 236764, 740, 611, 1601, 786, 16807, 506, 16074, 6137, 659, 15195, 28331, 236881, 564, 1461, 531, 5330, 692, 740, 7020, 2777, 4009, 15154, 19455, 1343, 1023, 6330, 26545, 36112, 3622, 506, 3205, 5899, 3892, 236761, 106, 107, 105, 4368, 107, 14946, 822, 15840, 2434, 14004, 506, 2822, 10739, 623, 504, 26636, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 236775, 528, 14284, 586, 236764, 611, 740, 16807, 506, 16074, 9831, 1699, 506, 6436, 564, 735, 2802, 531, 236787, 108, 236770, 236761, 5213, 6845, 28436, 66515, 564, 740, 1161, 506, 2165, 2451, 236779, 15721, 2451, 236929, 5904, 531, 33205, 506, 15744, 10739, 532, 5143, 28436, 573, 623, 504, 26636, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 3056, 1174, 795, 1407, 768, 159142, 6137, 568, 236744, 236761, 236759, 1126, 2165, 81702, 236779, 6265, 8347, 2165, 81702, 236779, 28602, 18833, 964, 9668, 40329, 573, 16074, 2777, 4009, 24742, 236761, 108, 236778, 236761, 5213, 3694, 196845, 66515, 564, 740, 1161, 506, 2165, 22542, 236779, 15721, 2451, 236929, 5904, 531, 43928, 496, 4845, 580, 506, 73625, 3205, 236764, 837, 1093, 13018, 14284, 586, 236789, 236751, 16074, 15106, 532, 16807, 768, 15154, 19455, 659, 1646, 17755, 15195, 236761, 108, 6481, 786, 1281, 1056, 506, 3205, 563, 3892, 236764, 532, 564, 236789, 859, 1601, 18855, 506, 16074, 10884, 236888, 106, 107, 105, 2364, 107, 818, 3205, 623, 504, 26636, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 236775, 563, 1492, 3892, 236888, 5315, 236764, 740, 611, 2426, 1061, 28436, 1699, 2165, 2451, 236779, 15721, 2451, 236929, 531, 9128, 506, 159142, 16074, 6137, 4241, 1023, 2777, 4009, 7073, 2731, 568, 236744, 236761, 236759, 1126, 2165, 81702, 236779, 6265, 236784, 21254, 236880, 81702, 236779, 28602, 236784, 5106, 236779, 3274, 18833, 236881, 4298, 236764, 1161, 2165, 22542, 236779, 15721, 2451, 236929, 531, 43928, 496, 1594, 4845, 532, 16807, 506, 14284, 586, 16074, 22308, 29371, 15195, 236761, 1174, 795, 5330, 1023, 19455, 12203, 1800, 3738, 236786, 28602, 88082, 532, 2558, 4845, 236772, 17429, 6224, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 43505, 236779, 2451, 1083, 623, 2574, 1411, 80158, 236761, 8358, 236761, 854, 236786, 504, 26636, 236772, 5106, 236881, 81702, 236779, 6265, 236784, 21254, 236880, 81702, 236779, 28602, 236784, 5106, 236779, 3274, 236880, 81702, 236779, 80158, 236784, 22504, 236778, 236771, 236778, 236812, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 26514, 236779, 23251, 1083, 3714, 227295, 1083, 236743, 236771, 236764, 623, 20738, 236779, 50640, 1083, 236743, 236771, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 34598, 236779, 2451, 1083, 623, 2574, 1411, 5106, 585, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 236786, 504, 26636, 236881, 81702, 236779, 6265, 236784, 21254, 236880, 81702, 236779, 28602, 236784, 5106, 236779, 3274, 236880, 81702, 236779, 80158, 236784, 22504, 236778, 236771, 236778, 236812, 827, 623, 55477, 236779, 33853, 236779, 4818, 1083, 623, 63495, 827, 623, 4513, 236779, 547, 1083, 623, 1692, 236772, 236778, 236771, 236778, 236812, 236771, 236825, 236778, 236771, 236772, 236828, 236828, 236832, 236770, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 29263, 236779, 188680, 1083, 3714, 6265, 1083, 623, 21254, 827, 623, 28602, 1083, 623, 5106, 236779, 3274, 827, 623, 80158, 1083, 623, 22504, 236778, 236771, 236778, 236812, 827, 623, 6725, 236779, 227295, 1083, 236743, 236770, 236778, 236832, 236828, 1807, 106, 107, 105, 4368, 107, 818, 28436, 532, 16074, 28250, 573, 623, 504, 26636, 236761, 31805, 2710, 236778, 236771, 236778, 236812, 236775, 659, 10778, 6595, 236787, 108, 236770, 236761, 5213, 2170, 236792, 36126, 30638, 774, 1018, 138, 107, 139, 818, 15744, 10739, 5132, 822, 7073, 236772, 15396, 16074, 6137, 236787, 138, 107, 139, 236929, 81702, 236779, 6265, 236784, 21254, 236880, 81702, 236779, 28602, 236784, 5106, 236779, 3274, 236880, 81702, 236779, 80158, 236784, 22504, 236778, 236771, 236778, 236812, 236929, 138, 107, 139, 236769, 25541, 822, 2777, 4009, 7073, 2731, 7121, 236768, 108, 236778, 236761, 5213, 58791, 23531, 1018, 138, 107, 139, 818, 1594, 4845, 33844, 14284, 586, 236789, 236751, 16074, 22308, 236764, 532, 506, 3072, 44898, 236787, 138, 107, 139, 236772, 64608, 22308, 4981, 236787, 5213, 236775, 63495, 236775, 1018, 138, 107, 139, 236772, 11738, 5853, 236787, 2165, 1692, 236772, 236778, 236771, 236778, 236812, 236771, 236825, 236778, 236771, 236772, 236828, 236828, 236832, 236770, 236929, 568, 53746, 573, 88082, 236768, 138, 107, 139, 236772, 10170, 236772, 2289, 19455, 5249, 236787, 138, 107, 141, 2717, 3723, 107, 141, 236782, 107, 143, 236775, 6265, 1083, 623, 21254, 827, 107, 143, 236775, 28602, 1083, 623, 5106, 236779, 3274, 827, 107, 143, 236775, 80158, 1083, 623, 22504, 236778, 236771, 236778, 236812, 827, 107, 143, 236775, 6725, 236779, 227295, 1083, 236743, 236770, 236778, 236832, 236828, 107, 141, 236783, 107, 141, 2717, 108, 11069, 3205, 563, 6340, 17934, 573, 1800, 88082, 16074, 532, 4845, 236772, 17429, 3136, 11734, 236761, 669, 43285, 2434, 740, 1492, 1927, 3892, 15154, 19455, 528, 822, 26545, 36112, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 496, 3530, 40777, 45796, 4241, 1534, 9055, 52408, 532, 139163, 236761, 3792, 236789, 236751, 1502, 684, 21558, 9055, 52408, 236789, 236751, 1903, 177166, 672, 3409, 1699, 506, 1903, 236779, 169861, 616, 5904, 607, 2434, 5957, 1076, 531, 623, 51771, 52408, 3056, 9920, 692, 735, 910, 5618, 236764, 564, 1461, 531, 2426, 768, 1027, 529, 1091, 964, 47713, 528, 672, 4241, 1699, 9724, 236779, 28544, 236779, 1708, 236779, 236746, 236779, 10480, 5904, 236761, 4298, 236764, 573, 1027, 2487, 1903, 177166, 236764, 33205, 910, 4155, 236779, 23251, 236779, 1708, 236779, 236746, 236779, 10480, 528, 672, 2290, 236761, 13472, 236764, 10769, 1724, 20673, 607, 506, 5396, 4241, 236779, 169861, 616, 1694, 531, 1460, 768, 901, 12063, 236761, 9996, 2889, 1546, 2918, 79425, 573, 506, 3527, 5904, 236789, 236751, 3938, 1680, 26891, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3991, 236779, 169861, 616, 1083, 78493, 5000, 1083, 623, 45728, 11393, 827, 623, 6725, 236779, 53265, 1083, 236743, 236770, 236812, 236764, 623, 898, 236779, 7569, 236779, 53265, 1083, 236743, 236819, 236764, 623, 989, 236779, 7569, 236779, 53265, 1083, 236743, 236800, 236764, 623, 5653, 236779, 53265, 1083, 236743, 236778, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236770, 236832, 236764, 623, 53265, 236779, 721, 236779, 10480, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 38466, 236779, 721, 236779, 29538, 1083, 236743, 236770, 236771, 236819, 1263, 3714, 5000, 1083, 623, 209489, 72914, 20812, 827, 623, 6725, 236779, 53265, 1083, 236743, 236770, 236778, 236764, 623, 898, 236779, 7569, 236779, 53265, 1083, 236743, 236832, 236764, 623, 989, 236779, 7569, 236779, 53265, 1083, 236743, 236812, 236764, 623, 5653, 236779, 53265, 1083, 236743, 236770, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236770, 236828, 236764, 623, 53265, 236779, 721, 236779, 10480, 1083, 236743, 236771, 236761, 236825, 236832, 236764, 623, 38466, 236779, 721, 236779, 29538, 1083, 236743, 236770, 236778, 236828, 1263, 3714, 5000, 1083, 623, 100493, 2486, 9725, 236785, 236756, 236771, 236771, 236760, 236770, 527, 827, 623, 6725, 236779, 53265, 1083, 236743, 236828, 236764, 623, 898, 236779, 7569, 236779, 53265, 1083, 236743, 236810, 236764, 623, 989, 236779, 7569, 236779, 53265, 1083, 236743, 236770, 236764, 623, 5653, 236779, 53265, 1083, 236743, 236778, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236770, 236825, 236764, 623, 53265, 236779, 721, 236779, 10480, 1083, 236743, 236771, 236761, 236810, 236764, 623, 38466, 236779, 721, 236779, 29538, 1083, 236743, 236770, 236825, 236810, 1263, 3714, 5000, 1083, 623, 4675, 1588, 106364, 827, 623, 6725, 236779, 53265, 1083, 236743, 236810, 236764, 623, 898, 236779, 7569, 236779, 53265, 1083, 236743, 236800, 236764, 623, 989, 236779, 7569, 236779, 53265, 1083, 236743, 236770, 236764, 623, 5653, 236779, 53265, 1083, 236743, 236770, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236770, 236828, 236764, 623, 53265, 236779, 721, 236779, 10480, 1083, 236743, 236771, 236761, 236778, 236828, 236764, 623, 38466, 236779, 721, 236779, 29538, 1083, 236743, 236778, 236819, 236828, 1263, 3714, 5000, 1083, 623, 192479, 6319, 24492, 827, 623, 6725, 236779, 53265, 1083, 236743, 236800, 236764, 623, 898, 236779, 7569, 236779, 53265, 1083, 236743, 236778, 236764, 623, 989, 236779, 7569, 236779, 53265, 1083, 236743, 236770, 236764, 623, 5653, 236779, 53265, 1083, 236743, 236771, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236770, 236810, 236764, 623, 53265, 236779, 721, 236779, 10480, 1083, 236743, 236771, 236761, 236778, 236764, 623, 38466, 236779, 721, 236779, 29538, 1083, 236743, 236812, 236810, 236771, 104960, 623, 80043, 236779, 15080, 1083, 236743, 236770, 236764, 623, 14992, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 19458, 1083, 623, 236778, 236771, 236778, 236810, 50411, 2710, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 46691, 236779, 28544, 1083, 78493, 14992, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 1201, 1083, 623, 96630, 6319, 1465, 236748, 827, 623, 3473, 1083, 623, 201866, 827, 623, 27388, 1083, 623, 224662, 9262, 23179, 3714, 14992, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 1201, 1083, 623, 40421, 555, 236785, 236756, 236771, 236771, 236744, 236770, 236749, 30350, 827, 623, 3473, 1083, 623, 41210, 45348, 827, 623, 27388, 1083, 623, 122717, 3102, 23179, 3714, 14992, 1083, 623, 11746, 52927, 115236, 827, 623, 1201, 1083, 623, 30492, 236785, 236756, 236771, 236771, 39375, 639, 236785, 236756, 236771, 236771, 236760, 236800, 17487, 827, 623, 3473, 1083, 623, 54659, 827, 623, 27388, 1083, 623, 236855, 14577, 9938, 23179, 3714, 14992, 1083, 623, 11746, 52927, 115236, 827, 623, 1201, 1083, 623, 154996, 236785, 236756, 236771, 236771, 22712, 3803, 236785, 236756, 236771, 236771, 524, 26489, 827, 623, 3473, 1083, 623, 201866, 827, 623, 27388, 1083, 623, 37154, 3733, 26949, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5000, 1083, 623, 45728, 11393, 827, 623, 14992, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 157638, 1083, 623, 11746, 52927, 115236, 827, 623, 53265, 1083, 236743, 236770, 236764, 623, 702, 1954, 1083, 236743, 236771, 236764, 623, 38466, 236779, 61101, 1083, 236743, 236832, 236828, 236764, 623, 38494, 236779, 498, 236779, 5654, 1083, 236743, 236812, 236764, 623, 130963, 236779, 40812, 1083, 236743, 236810, 236778, 236764, 623, 236745, 697, 1074, 1083, 236743, 236800, 236764, 623, 10480, 236779, 3709, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 236743, 236778, 753, 236743, 236770, 139163, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 169861, 616, 1083, 78493, 5000, 236779, 1201, 1083, 623, 45728, 6834, 236785, 236756, 236771, 236771, 524, 236749, 827, 623, 14992, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 29538, 236779, 2084, 1083, 623, 5653, 827, 623, 20353, 1083, 236743, 236800, 236812, 1263, 3714, 5000, 236779, 1201, 1083, 623, 100493, 2486, 9725, 236785, 236756, 236771, 236771, 236760, 236770, 527, 827, 623, 14992, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 29538, 236779, 2084, 1083, 623, 989, 236779, 7569, 827, 623, 20353, 1083, 236743, 236825, 236832, 1263, 3714, 5000, 236779, 1201, 1083, 623, 215923, 83084, 827, 623, 14992, 1083, 623, 11746, 52927, 115236, 827, 623, 29538, 236779, 2084, 1083, 623, 120438, 827, 623, 20353, 1083, 236743, 236828, 236778, 104960, 623, 10480, 236779, 4818, 1083, 623, 40812, 827, 623, 8318, 1083, 623, 236778, 236772, 236770, 25938, 106, 107, 105, 4368, 107, 1018, 16249, 13768, 236787, 9055, 52408, 7728, 139163, 1018, 108, 10354, 14938, 236743, 236770, 236787, 9055, 52408, 236789, 236751, 8231, 233086, 616, 568, 236778, 236771, 236778, 236810, 50411, 2710, 236768, 107, 236772, 5213, 8534, 233086, 616, 66515, 107, 138, 236770, 236761, 5213, 45728, 11393, 66515, 236743, 236770, 236812, 7675, 568, 236771, 236761, 236828, 236778, 810, 4241, 236768, 107, 138, 236778, 236761, 44554, 72914, 20812, 236787, 236743, 236770, 236778, 7675, 107, 138, 236800, 236761, 99026, 9725, 31436, 236787, 236743, 236828, 7675, 107, 138, 236812, 236761, 224490, 106364, 236787, 236743, 236810, 7675, 107, 138, 236810, 236761, 55237, 6319, 24492, 236787, 236743, 236800, 7675, 108, 10354, 14938, 236743, 236778, 236787, 62420, 41392, 107, 236772, 5213, 51771, 52408, 66515, 107, 138, 236772, 24913, 6319, 1465, 236748, 568, 201866, 236764, 17148, 236768, 107, 138, 236772, 11181, 72159, 568, 41210, 45348, 236764, 22235, 236768, 107, 236772, 5213, 11746, 52927, 115236, 66515, 107, 138, 236772, 183548, 48489, 568, 54659, 236764, 17148, 236768, 107, 138, 236772, 54740, 3803, 64213, 568, 201866, 236764, 22235, 236768, 138, 107, 1018, 3771, 1903, 177166, 964, 47713, 1018, 573, 3477, 2434, 236761, 108, 10354, 14938, 236743, 236800, 236787, 17065, 61922, 568, 45728, 11393, 236768, 107, 236772, 5213, 45728, 11393, 1018, 568, 51771, 52408, 1473, 107, 138, 236772, 59836, 236787, 236743, 236770, 568, 5653, 236764, 236743, 236800, 236812, 594, 9641, 236768, 107, 138, 236772, 64668, 186803, 236787, 236743, 236832, 236828, 107, 138, 236772, 206237, 580, 23170, 236787, 236743, 236812, 107, 138, 236772, 28253, 11130, 236787, 9055, 52408, 236743, 236778, 236772, 236770, 139163, 108, 10354, 14938, 236743, 236812, 236787, 28253, 187351, 166977, 107, 236772, 5213, 51771, 52408, 66515, 107, 138, 236772, 12297, 11393, 568, 5653, 236764, 236743, 236800, 236812, 1606, 107, 138, 236772, 99026, 9725, 31436, 568, 989, 3998, 236764, 236743, 236825, 236832, 1606, 107, 236772, 5213, 11746, 52927, 115236, 66515, 107, 138, 236772, 84824, 83084, 568, 120438, 236764, 236743, 236828, 236778, 1606, 108, 10354, 16187, 36520, 107, 236772, 5213, 8534, 233086, 616, 11063, 191852, 66515, 107, 138, 236772, 5213, 45728, 11393, 66515, 2991, 2926, 618, 810, 914, 20673, 236761, 107, 138, 236772, 5213, 100493, 2486, 9725, 31436, 66515, 2991, 2926, 9785, 3718, 28594, 3938, 568, 236828, 7675, 769, 107, 236772, 5213, 78810, 66515, 107, 138, 236772, 44554, 72914, 20812, 236764, 224490, 106364, 236764, 532, 55237, 6319, 24492, 1602, 711, 6317, 528, 672, 4241, 236761, 108, 10354, 63916, 107, 11634, 529, 9055, 52408, 236789, 236751, 1903, 1806, 177166, 568, 45728, 11393, 532, 99026, 9725, 31436, 236768, 5467, 19263, 531, 506, 13626, 236761, 669, 2434, 236789, 236751, 35792, 8744, 691, 15179, 236764, 607, 9725, 31436, 35322, 496, 2307, 5671, 236761, 5350, 152479, 236764, 52408, 5809, 139163, 531, 496, 3161, 20256, 236764, 37319, 506, 3345, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 496, 3530, 40777, 45796, 4241, 1534, 9055, 52408, 532, 139163, 236761, 3792, 236789, 236751, 1502, 684, 21558, 9055, 52408, 236789, 236751, 1903, 177166, 672, 3409, 1699, 506, 1903, 236779, 169861, 616, 5904, 607, 2434, 5957, 1076, 531, 623, 51771, 52408, 3056, 9920, 692, 735, 910, 5618, 236764, 564, 1461, 531, 2426, 768, 1027, 529, 1091, 964, 47713, 528, 672, 4241, 1699, 9724, 236779, 28544, 236779, 1708, 236779, 236746, 236779, 10480, 5904, 236761, 4298, 236764, 573, 1027, 2487, 1903, 177166, 236764, 33205, 910, 4155, 236779, 23251, 236779, 1708, 236779, 236746, 236779, 10480, 528, 672, 2290, 236761, 13472, 236764, 10769, 1724, 20673, 607, 506, 5396, 4241, 236779, 169861, 616, 1694, 531, 1460, 768, 901, 12063, 236761, 9996, 2889, 1546, 2918, 79425, 573, 506, 3527, 5904, 236789, 236751, 3938, 1680, 26891, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3991, 236779, 169861, 616, 1083, 78493, 5000, 1083, 623, 45728, 11393, 827, 623, 6725, 236779, 53265, 1083, 236743, 236770, 236812, 236764, 623, 898, 236779, 7569, 236779, 53265, 1083, 236743, 236819, 236764, 623, 989, 236779, 7569, 236779, 53265, 1083, 236743, 236800, 236764, 623, 5653, 236779, 53265, 1083, 236743, 236778, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236770, 236832, 236764, 623, 53265, 236779, 721, 236779, 10480, 1083, 236743, 236771, 236761, 236828, 236778, 236764, 623, 38466, 236779, 721, 236779, 29538, 1083, 236743, 236770, 236771, 236819, 1263, 3714, 5000, 1083, 623, 209489, 72914, 20812, 827, 623, 6725, 236779, 53265, 1083, 236743, 236770, 236778, 236764, 623, 898, 236779, 7569, 236779, 53265, 1083, 236743, 236832, 236764, 623, 989, 236779, 7569, 236779, 53265, 1083, 236743, 236812, 236764, 623, 5653, 236779, 53265, 1083, 236743, 236770, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236770, 236828, 236764, 623, 53265, 236779, 721, 236779, 10480, 1083, 236743, 236771, 236761, 236825, 236832, 236764, 623, 38466, 236779, 721, 236779, 29538, 1083, 236743, 236770, 236778, 236828, 1263, 3714, 5000, 1083, 623, 100493, 2486, 9725, 236785, 236756, 236771, 236771, 236760, 236770, 527, 827, 623, 6725, 236779, 53265, 1083, 236743, 236828, 236764, 623, 898, 236779, 7569, 236779, 53265, 1083, 236743, 236810, 236764, 623, 989, 236779, 7569, 236779, 53265, 1083, 236743, 236770, 236764, 623, 5653, 236779, 53265, 1083, 236743, 236778, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236770, 236825, 236764, 623, 53265, 236779, 721, 236779, 10480, 1083, 236743, 236771, 236761, 236810, 236764, 623, 38466, 236779, 721, 236779, 29538, 1083, 236743, 236770, 236825, 236810, 1263, 3714, 5000, 1083, 623, 4675, 1588, 106364, 827, 623, 6725, 236779, 53265, 1083, 236743, 236810, 236764, 623, 898, 236779, 7569, 236779, 53265, 1083, 236743, 236800, 236764, 623, 989, 236779, 7569, 236779, 53265, 1083, 236743, 236770, 236764, 623, 5653, 236779, 53265, 1083, 236743, 236770, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236770, 236828, 236764, 623, 53265, 236779, 721, 236779, 10480, 1083, 236743, 236771, 236761, 236778, 236828, 236764, 623, 38466, 236779, 721, 236779, 29538, 1083, 236743, 236778, 236819, 236828, 1263, 3714, 5000, 1083, 623, 192479, 6319, 24492, 827, 623, 6725, 236779, 53265, 1083, 236743, 236800, 236764, 623, 898, 236779, 7569, 236779, 53265, 1083, 236743, 236778, 236764, 623, 989, 236779, 7569, 236779, 53265, 1083, 236743, 236770, 236764, 623, 5653, 236779, 53265, 1083, 236743, 236771, 236764, 623, 25541, 236779, 61101, 1083, 236743, 236770, 236810, 236764, 623, 53265, 236779, 721, 236779, 10480, 1083, 236743, 236771, 236761, 236778, 236764, 623, 38466, 236779, 721, 236779, 29538, 1083, 236743, 236812, 236810, 236771, 104960, 623, 80043, 236779, 15080, 1083, 236743, 236770, 236764, 623, 14992, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 19458, 1083, 623, 236778, 236771, 236778, 236810, 50411, 2710, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 46691, 236779, 28544, 1083, 78493, 14992, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 1201, 1083, 623, 96630, 6319, 1465, 236748, 827, 623, 3473, 1083, 623, 201866, 827, 623, 27388, 1083, 623, 224662, 9262, 23179, 3714, 14992, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 1201, 1083, 623, 40421, 555, 236785, 236756, 236771, 236771, 236744, 236770, 236749, 30350, 827, 623, 3473, 1083, 623, 41210, 45348, 827, 623, 27388, 1083, 623, 122717, 3102, 23179, 3714, 14992, 1083, 623, 11746, 52927, 115236, 827, 623, 1201, 1083, 623, 30492, 236785, 236756, 236771, 236771, 39375, 639, 236785, 236756, 236771, 236771, 236760, 236800, 17487, 827, 623, 3473, 1083, 623, 54659, 827, 623, 27388, 1083, 623, 236855, 14577, 9938, 23179, 3714, 14992, 1083, 623, 11746, 52927, 115236, 827, 623, 1201, 1083, 623, 154996, 236785, 236756, 236771, 236771, 22712, 3803, 236785, 236756, 236771, 236771, 524, 26489, 827, 623, 3473, 1083, 623, 201866, 827, 623, 27388, 1083, 623, 37154, 3733, 26949, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5000, 1083, 623, 45728, 11393, 827, 623, 14992, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 157638, 1083, 623, 11746, 52927, 115236, 827, 623, 53265, 1083, 236743, 236770, 236764, 623, 702, 1954, 1083, 236743, 236771, 236764, 623, 38466, 236779, 61101, 1083, 236743, 236832, 236828, 236764, 623, 38494, 236779, 498, 236779, 5654, 1083, 236743, 236812, 236764, 623, 130963, 236779, 40812, 1083, 236743, 236810, 236778, 236764, 623, 236745, 697, 1074, 1083, 236743, 236800, 236764, 623, 10480, 236779, 3709, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 236743, 236778, 753, 236743, 236770, 139163, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 169861, 616, 1083, 78493, 5000, 236779, 1201, 1083, 623, 45728, 6834, 236785, 236756, 236771, 236771, 524, 236749, 827, 623, 14992, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 29538, 236779, 2084, 1083, 623, 5653, 827, 623, 20353, 1083, 236743, 236800, 236812, 1263, 3714, 5000, 236779, 1201, 1083, 623, 100493, 2486, 9725, 236785, 236756, 236771, 236771, 236760, 236770, 527, 827, 623, 14992, 1083, 623, 51771, 3013, 236785, 236756, 236771, 236771, 236744, 236819, 11576, 827, 623, 29538, 236779, 2084, 1083, 623, 989, 236779, 7569, 827, 623, 20353, 1083, 236743, 236825, 236832, 1263, 3714, 5000, 236779, 1201, 1083, 623, 215923, 83084, 827, 623, 14992, 1083, 623, 11746, 52927, 115236, 827, 623, 29538, 236779, 2084, 1083, 623, 120438, 827, 623, 20353, 1083, 236743, 236828, 236778, 104960, 623, 10480, 236779, 4818, 1083, 623, 40812, 827, 623, 8318, 1083, 623, 236778, 236772, 236770, 25938, 106, 107, 105, 4368, 107, 1018, 16249, 13768, 236787, 9055, 52408, 7728, 139163, 1018, 108, 10354, 14938, 236743, 236770, 236787, 9055, 52408, 236789, 236751, 8231, 233086, 616, 568, 236778, 236771, 236778, 236810, 50411, 2710, 236768, 107, 236772, 5213, 8534, 233086, 616, 66515, 107, 138, 236770, 236761, 5213, 45728, 11393, 66515, 236743, 236770, 236812, 7675, 568, 236771, 236761, 236828, 236778, 810, 4241, 236768, 107, 138, 236778, 236761, 44554, 72914, 20812, 236787, 236743, 236770, 236778, 7675, 107, 138, 236800, 236761, 99026, 9725, 31436, 236787, 236743, 236828, 7675, 107, 138, 236812, 236761, 224490, 106364, 236787, 236743, 236810, 7675, 107, 138, 236810, 236761, 55237, 6319, 24492, 236787, 236743, 236800, 7675, 108, 10354, 14938, 236743, 236778, 236787, 62420, 41392, 107, 236772, 5213, 51771, 52408, 66515, 107, 138, 236772, 24913, 6319, 1465, 236748, 568, 201866, 236764, 17148, 236768, 107, 138, 236772, 11181, 72159, 568, 41210, 45348, 236764, 22235, 236768, 107, 236772, 5213, 11746, 52927, 115236, 66515, 107, 138, 236772, 183548, 48489, 568, 54659, 236764, 17148, 236768, 107, 138, 236772, 54740, 3803, 64213, 568, 201866, 236764, 22235, 236768, 138, 107, 1018, 3771, 1903, 177166, 964, 47713, 1018, 573, 3477, 2434, 236761, 108, 10354, 14938, 236743, 236800, 236787, 17065, 61922, 568, 45728, 11393, 236768, 107, 236772, 5213, 45728, 11393, 1018, 568, 51771, 52408, 1473, 107, 138, 236772, 59836, 236787, 236743, 236770, 568, 5653, 236764, 236743, 236800, 236812, 594, 9641, 236768, 107, 138, 236772, 64668, 186803, 236787, 236743, 236832, 236828, 107, 138, 236772, 206237, 580, 23170, 236787, 236743, 236812, 107, 138, 236772, 28253, 11130, 236787, 9055, 52408, 236743, 236778, 236772, 236770, 139163, 108, 10354, 14938, 236743, 236812, 236787, 28253, 187351, 166977, 107, 236772, 5213, 51771, 52408, 66515, 107, 138, 236772, 12297, 11393, 568, 5653, 236764, 236743, 236800, 236812, 1606, 107, 138, 236772, 99026, 9725, 31436, 568, 989, 3998, 236764, 236743, 236825, 236832, 1606, 107, 236772, 5213, 11746, 52927, 115236, 66515, 107, 138, 236772, 84824, 83084, 568, 120438, 236764, 236743, 236828, 236778, 1606, 108, 10354, 16187, 36520, 107, 236772, 5213, 8534, 233086, 616, 11063, 191852, 66515, 107, 138, 236772, 5213, 45728, 11393, 66515, 2991, 2926, 618, 810, 914, 20673, 236761, 107, 138, 236772, 5213, 100493, 2486, 9725, 31436, 66515, 2991, 2926, 9785, 3718, 28594, 3938, 568, 236828, 7675, 769, 107, 236772, 5213, 78810, 66515, 107, 138, 236772, 44554, 72914, 20812, 236764, 224490, 106364, 236764, 532, 55237, 6319, 24492, 1602, 711, 6317, 528, 672, 4241, 236761, 108, 10354, 63916, 107, 11634, 529, 9055, 52408, 236789, 236751, 1903, 1806, 177166, 568, 45728, 11393, 532, 99026, 9725, 31436, 236768, 5467, 19263, 531, 506, 13626, 236761, 669, 2434, 236789, 236751, 35792, 8744, 691, 15179, 236764, 607, 9725, 31436, 35322, 496, 2307, 5671, 236761, 5350, 152479, 236764, 52408, 5809, 139163, 531, 496, 3161, 20256, 236764, 37319, 506, 3345, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 18840, 506, 10365, 6219, 529, 496, 2263, 1610, 19399, 528, 40909, 2760, 756, 504, 26636, 661, 106156, 236789, 531, 3050, 910, 15154, 9935, 236761, 5315, 236764, 33205, 910, 2430, 5853, 1699, 910, 15345, 236761, 4298, 236764, 1161, 600, 5853, 531, 12270, 910, 6524, 236743, 236770, 236778, 12714, 236764, 2440, 100264, 532, 15154, 19455, 236761, 1701, 1546, 1868, 236764, 8430, 506, 2822, 3393, 532, 8091, 9813, 4009, 1262, 531, 10769, 15975, 236764, 8968, 236764, 532, 5383, 6224, 236761, 13472, 236764, 25774, 506, 1903, 236743, 236800, 1346, 21964, 12714, 2721, 580, 672, 1262, 532, 5433, 1027, 53552, 22888, 528, 910, 100264, 653, 7426, 3117, 236761, 3792, 786, 1281, 768, 611, 5524, 1027, 194626, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 827, 623, 22487, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236751, 185410, 236855, 236809, 236824, 827, 623, 21151, 1083, 623, 211703, 2263, 30918, 617, 1392, 172061, 14280, 236802, 661, 236789, 236751, 861, 22964, 11764, 236888, 997, 199892, 9175, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236770, 236761, 4034, 827, 623, 56652, 1083, 236743, 236778, 236812, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236828, 236819, 236764, 623, 177142, 1083, 236743, 236800, 236778, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236778, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236745, 185770, 236855, 236809, 236917, 827, 623, 21151, 1083, 623, 101255, 236772, 1437, 236772, 85151, 657, 1023, 3399, 1610, 18669, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 236785, 236756, 236778, 236832, 236778, 236828, 997, 9175, 39454, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236778, 236761, 4034, 827, 623, 56652, 1083, 236743, 236770, 236828, 236778, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236812, 236810, 236764, 623, 177142, 1083, 236743, 236778, 236770, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236800, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236766, 236797, 236752, 236855, 236809, 236874, 827, 623, 21151, 1083, 623, 7029, 573, 11421, 236888, 55358, 822, 981, 573, 1023, 5312, 19520, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236770, 236744, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236800, 236761, 4034, 827, 623, 56652, 1083, 236743, 236770, 236810, 236825, 236771, 236764, 623, 26329, 1083, 236743, 236828, 236819, 236764, 623, 177142, 1083, 236743, 236770, 236810, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236800, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236812, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236765, 51397, 236855, 236809, 236953, 827, 623, 21151, 1083, 623, 84585, 657, 9630, 645, 4395, 73206, 20564, 236789, 236751, 1932, 11452, 6478, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236771, 236810, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236812, 236761, 4034, 827, 623, 56652, 1083, 236743, 236770, 236800, 236812, 236771, 236764, 623, 26329, 1083, 236743, 236832, 236828, 236764, 623, 177142, 1083, 236743, 236770, 236800, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 236774, 236770, 236832, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236810, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236781, 2740, 59387, 236776, 827, 623, 21151, 1083, 623, 142031, 1280, 6347, 607, 1392, 504, 1591, 590, 831, 106156, 20564, 657, 236743, 236832, 3840, 41218, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236810, 236761, 4034, 827, 623, 56652, 1083, 236743, 236770, 236770, 236778, 236771, 236764, 623, 26329, 1083, 236743, 236825, 236832, 236764, 623, 177142, 1083, 236743, 236819, 236828, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236770, 236774, 236770, 236810, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236825, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236762, 88790, 59387, 236799, 827, 623, 21151, 1083, 623, 97850, 1610, 2436, 1932, 3097, 236743, 236819, 3840, 20564, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236770, 236819, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236825, 236761, 4034, 827, 623, 56652, 1083, 236743, 236819, 236828, 236771, 236764, 623, 26329, 1083, 236743, 236810, 236812, 236764, 623, 177142, 1083, 236743, 236828, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236770, 236825, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236832, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236802, 117709, 59387, 236780, 827, 623, 21151, 1083, 623, 11898, 32545, 25525, 7735, 236888, 89099, 531, 784, 11383, 621, 689, 236828, 236800, 236755, 236785, 689, 16652, 236825, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236832, 236761, 4034, 827, 623, 56652, 1083, 236743, 236828, 236832, 236771, 236764, 623, 26329, 1083, 236743, 236812, 236810, 236764, 623, 177142, 1083, 236743, 236832, 236825, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236819, 236774, 236770, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236828, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 1425, 236752, 59387, 236796, 827, 623, 21151, 1083, 623, 13743, 12325, 1023, 11452, 753, 7853, 5026, 1015, 3548, 1610, 11682, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236828, 236761, 4034, 827, 623, 56652, 1083, 236743, 236832, 236825, 236771, 236764, 623, 26329, 1083, 236743, 236800, 236812, 236764, 623, 177142, 1083, 236743, 236825, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236828, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236819, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 12357, 236752, 59387, 236788, 827, 623, 21151, 1083, 623, 4199, 30918, 9937, 657, 8137, 6718, 14629, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236828, 236819, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236819, 236761, 4034, 827, 623, 56652, 1083, 236743, 236825, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236778, 236819, 236764, 623, 177142, 1083, 236743, 236810, 236812, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236832, 236774, 236770, 236770, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236800, 236771, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 6459, 236752, 59387, 236811, 827, 623, 21151, 1083, 623, 218799, 5506, 236787, 19536, 6554, 1023, 3399, 7972, 11595, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236760, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236770, 236771, 236761, 4034, 827, 623, 56652, 1083, 236743, 236810, 236812, 236771, 236764, 623, 26329, 1083, 236743, 236778, 236770, 236764, 623, 177142, 1083, 236743, 236812, 236800, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236825, 236774, 236770, 236812, 236787, 236770, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236800, 236770, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 7560, 236752, 59387, 236823, 827, 623, 21151, 1083, 623, 56051, 2910, 607, 1392, 114922, 670, 15227, 20564, 657, 236743, 236825, 236787, 236800, 236771, 3840, 621, 689, 236828, 236800, 236753, 236785, 689, 893, 236800, 236785, 77118, 236771, 236760, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236770, 236770, 236761, 4034, 827, 623, 56652, 1083, 236743, 236812, 236800, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236828, 236764, 623, 177142, 1083, 236743, 236800, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236800, 236778, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 1089, 236752, 59387, 236814, 827, 623, 21151, 1083, 623, 36114, 6235, 236787, 236743, 236810, 236771, 236908, 1135, 784, 24482, 3097, 38735, 236888, 621, 689, 236828, 236800, 236753, 236785, 689, 24224, 236785, 77118, 236771, 236760, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236770, 236778, 236761, 4034, 827, 623, 56652, 1083, 236743, 236800, 236778, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236778, 236764, 623, 177142, 1083, 236743, 236778, 236770, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236812, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236751, 185410, 236855, 236809, 236824, 827, 623, 21151, 1083, 623, 162117, 506, 28239, 130235, 529, 40909, 236789, 236751, 22964, 7905, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 997, 199892, 9175, 206958, 997, 40703, 9175, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 92506, 1083, 3714, 56652, 1083, 236743, 236778, 236812, 236828, 236819, 236764, 623, 26329, 1083, 236743, 236770, 236800, 236778, 236764, 623, 177142, 1083, 236743, 236828, 236812, 236810, 1263, 623, 2364, 236779, 3906, 1083, 3714, 11668, 1083, 623, 504, 26636, 661, 106156, 827, 623, 76647, 1083, 236743, 236770, 236828, 236819, 236771, 236771, 236764, 623, 511, 236779, 87622, 1083, 2416, 1263, 623, 7125, 1083, 3714, 1201, 1083, 623, 199892, 236764, 10964, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236828, 236761, 236810, 236800, 236828, 236800, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236800, 236832, 236819, 236778, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10494, 236779, 1516, 1083, 3714, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236745, 185770, 236855, 236809, 236917, 827, 623, 21151, 1083, 623, 162117, 506, 28239, 15729, 529, 40909, 607, 1023, 6524, 30918, 2203, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 997, 504, 26636, 661, 106156, 997, 30419, 661, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 56652, 1083, 236743, 236778, 236812, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236828, 236819, 236764, 623, 177142, 1083, 236743, 236800, 236778, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236770, 236953, 827, 623, 2364, 236779, 3906, 1083, 3714, 11668, 1083, 623, 504, 26636, 661, 106156, 827, 623, 76647, 1083, 236743, 236770, 236828, 236810, 236771, 236771, 236764, 623, 71524, 1083, 236743, 236778, 236770, 236771, 19465, 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, 3970, 14255, 623, 29995, 1083, 642, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3970, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236799, 236812, 236750, 236917, 236819, 236766, 236797, 236752, 236855, 236809, 236874, 45502, 623, 21151, 1083, 623, 162117, 506, 28239, 15729, 529, 40909, 236789, 236751, 15653, 7905, 607, 1023, 6524, 30918, 11764, 236761, 997, 504, 26636, 661, 106156, 997, 2153, 661, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 56652, 1083, 236743, 236778, 236812, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236828, 236819, 236764, 623, 177142, 1083, 236743, 236800, 236778, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 2364, 1083, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 827, 623, 11668, 1083, 623, 504, 26636, 661, 106156, 827, 623, 10602, 236779, 1201, 1083, 623, 199892, 4585, 79535, 827, 623, 13330, 236779, 12904, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 13330, 236779, 94832, 236786, 504, 26636, 661, 106156, 236761, 4034, 23179, 623, 19112, 1083, 11058, 504, 26636, 661, 106156, 827, 623, 2153, 661, 827, 623, 46955, 1294, 827, 623, 504, 26636, 14865, 14255, 623, 7125, 1083, 3714, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 1201, 1083, 623, 199892, 14822, 9252, 827, 623, 37673, 1083, 236743, 236778, 236828, 236761, 236810, 236800, 236828, 236800, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236800, 236832, 236800, 236810, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236765, 51397, 236855, 236809, 236953, 827, 623, 21151, 1083, 623, 162117, 506, 28239, 130235, 529, 40909, 236789, 236751, 22964, 15653, 7905, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 997, 504, 26636, 661, 106156, 997, 2153, 661, 997, 6047, 96078, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 56652, 1083, 236743, 236770, 236778, 236832, 236812, 236800, 236764, 623, 26329, 1083, 236743, 236828, 236819, 236778, 236764, 623, 177142, 1083, 236743, 236800, 236771, 236810, 236825, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 2364, 1083, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 827, 623, 11668, 1083, 623, 504, 26636, 661, 106156, 827, 623, 10602, 236779, 1201, 1083, 623, 199892, 4585, 79535, 827, 623, 13330, 236779, 12904, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 504, 26636, 661, 236761, 4034, 23179, 623, 92506, 236779, 4720, 1083, 236743, 236771, 236761, 236770, 236828, 236764, 623, 19112, 1083, 11058, 504, 26636, 661, 106156, 827, 623, 2153, 661, 827, 623, 6047, 96078, 827, 623, 236757, 1762, 661, 99471, 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, 11668, 14255, 623, 29995, 1083, 3714, 3970, 1083, 623, 7741, 7087, 15345, 7689, 531, 33205, 2430, 5853, 1680, 67931, 4009, 1262, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 3274, 236779, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236771, 236771, 236812, 236771, 236778, 236812, 236828, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 21151, 1083, 623, 162117, 506, 28239, 15729, 529, 40909, 236789, 236751, 1610, 7905, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 236785, 236756, 236778, 236832, 236778, 236828, 997, 199892, 9175, 206958, 997, 40703, 9175, 827, 623, 2364, 236779, 3906, 1083, 3714, 11668, 1083, 623, 504, 26636, 661, 106156, 827, 623, 2364, 236779, 547, 1083, 623, 236770, 236819, 236778, 236828, 236800, 236771, 236819, 236812, 236810, 236770, 236778, 23179, 623, 92506, 1083, 3714, 56652, 1083, 236743, 236778, 236812, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236828, 236819, 236764, 623, 177142, 1083, 236743, 236800, 236778, 236832, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236781, 2740, 59387, 236776, 25938, 106, 107, 105, 4368, 107, 1018, 35434, 529, 40909, 4585, 79535, 236789, 236751, 10365, 93384, 53121, 108, 1018, 8534, 236743, 236800, 7660, 203926, 49040, 53121, 107, 236770, 236761, 5213, 7118, 603, 236812, 236750, 236917, 236819, 236765, 51397, 236855, 236809, 236953, 1018, 138, 107, 139, 236772, 217360, 236787, 623, 162117, 506, 28239, 130235, 529, 40909, 236789, 236751, 22964, 15653, 7905, 236888, 236743, 245838, 997, 504, 26636, 661, 106156, 997, 2153, 661, 997, 6047, 96078, 236775, 138, 107, 139, 236772, 63010, 236787, 5213, 236770, 236778, 236764, 236832, 236812, 236800, 15975, 125546, 5213, 236828, 236819, 236778, 8968, 125546, 5213, 236800, 236764, 236771, 236810, 236825, 32635, 1018, 138, 107, 139, 236772, 24246, 236787, 167132, 30918, 1610, 528, 40909, 236789, 236751, 15653, 7905, 236761, 138, 108, 236778, 236761, 5213, 7118, 603, 236812, 236750, 236917, 236819, 236751, 185410, 236855, 236809, 236824, 1018, 138, 107, 139, 236772, 217360, 236787, 623, 211703, 2263, 30918, 617, 1392, 172061, 14280, 236802, 661, 236789, 236751, 861, 22964, 11764, 236888, 997, 199892, 9175, 236775, 138, 107, 139, 236772, 63010, 236787, 5213, 236778, 236764, 236812, 236828, 236819, 15975, 125546, 5213, 236770, 236800, 236778, 8968, 125546, 5213, 236828, 236812, 236810, 32635, 1018, 138, 107, 139, 236772, 24246, 236787, 147635, 11764, 684, 16939, 8325, 236761, 138, 108, 236800, 236761, 5213, 7118, 603, 236812, 236750, 236917, 236819, 236745, 185770, 236855, 236809, 236917, 1018, 138, 107, 139, 236772, 217360, 236787, 623, 101255, 236772, 1437, 236772, 85151, 657, 1023, 3399, 1610, 18669, 236743, 245838, 239794, 997, 9175, 39454, 236775, 138, 107, 139, 236772, 63010, 236787, 5213, 236778, 236764, 236812, 236810, 236771, 15975, 125546, 5213, 236770, 236828, 236819, 8968, 125546, 5213, 236800, 236778, 236771, 32635, 1018, 138, 107, 139, 236772, 24246, 236787, 39405, 11383, 7107, 1610, 236761, 138, 108, 1018, 174482, 137944, 53121, 138, 107, 236772, 5213, 46640, 30235, 53121, 49040, 11572, 8357, 67529, 607, 2263, 11421, 568, 236744, 236761, 236759, 1126, 1392, 172061, 14280, 236802, 661, 779, 28023, 236764, 532, 24564, 7760, 236761, 138, 107, 236772, 5213, 19118, 4585, 115418, 53121, 10871, 1294, 236764, 7363, 1610, 236764, 532, 35490, 41932, 7426, 3004, 236764, 3187, 56188, 607, 997, 199892, 9175, 206958, 532, 997, 19118, 9175, 236761, 138, 107, 236772, 5213, 227187, 79283, 53121, 40179, 9139, 573, 11421, 236764, 2460, 41383, 236764, 532, 21931, 100264, 568, 236744, 236761, 236759, 1126, 623, 12345, 5026, 1015, 3548, 1610, 11682, 4248, 138, 108, 1018, 42814, 39888, 833, 24118, 53121, 138, 107, 236772, 669, 2165, 828, 236779, 10494, 236779, 1516, 236929, 5904, 3149, 2587, 10365, 60973, 568, 236744, 236761, 236759, 1126, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236799, 236812, 236750, 236917, 236819, 236766, 236797, 236752, 236855, 236809, 236874, 96988, 5205, 529, 2822, 17253, 7057, 573, 6595, 51139, 236761, 138, 107, 236772, 3725, 906, 236758, 21893, 528, 15154, 19455, 568, 236744, 236761, 236759, 1126, 15975, 580, 6531, 603, 236812, 236750, 236917, 236819, 236765, 51397, 236855, 236809, 236953, 32694, 699, 236743, 236770, 236764, 236800, 236812, 236771, 528, 4387, 1262, 531, 236743, 236770, 236778, 236764, 236832, 236812, 236800, 528, 4009, 1262, 236768, 3600, 3435, 9299, 80864, 653, 21238, 8798, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3671, 3342, 653, 3213, 580, 3530, 19455, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 18840, 506, 10365, 6219, 529, 496, 2263, 1610, 19399, 528, 40909, 2760, 756, 504, 26636, 661, 106156, 236789, 531, 3050, 910, 15154, 9935, 236761, 5315, 236764, 33205, 910, 2430, 5853, 1699, 910, 15345, 236761, 4298, 236764, 1161, 600, 5853, 531, 12270, 910, 6524, 236743, 236770, 236778, 12714, 236764, 2440, 100264, 532, 15154, 19455, 236761, 1701, 1546, 1868, 236764, 8430, 506, 2822, 3393, 532, 8091, 9813, 4009, 1262, 531, 10769, 15975, 236764, 8968, 236764, 532, 5383, 6224, 236761, 13472, 236764, 25774, 506, 1903, 236743, 236800, 1346, 21964, 12714, 2721, 580, 672, 1262, 532, 5433, 1027, 53552, 22888, 528, 910, 100264, 653, 7426, 3117, 236761, 3792, 786, 1281, 768, 611, 5524, 1027, 194626, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 236743, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 827, 623, 22487, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236751, 185410, 236855, 236809, 236824, 827, 623, 21151, 1083, 623, 211703, 2263, 30918, 617, 1392, 172061, 14280, 236802, 661, 236789, 236751, 861, 22964, 11764, 236888, 997, 199892, 9175, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236770, 236761, 4034, 827, 623, 56652, 1083, 236743, 236778, 236812, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236828, 236819, 236764, 623, 177142, 1083, 236743, 236800, 236778, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236778, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236745, 185770, 236855, 236809, 236917, 827, 623, 21151, 1083, 623, 101255, 236772, 1437, 236772, 85151, 657, 1023, 3399, 1610, 18669, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 236785, 236756, 236778, 236832, 236778, 236828, 997, 9175, 39454, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236778, 236761, 4034, 827, 623, 56652, 1083, 236743, 236770, 236828, 236778, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236812, 236810, 236764, 623, 177142, 1083, 236743, 236778, 236770, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236800, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236766, 236797, 236752, 236855, 236809, 236874, 827, 623, 21151, 1083, 623, 7029, 573, 11421, 236888, 55358, 822, 981, 573, 1023, 5312, 19520, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236770, 236744, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236800, 236761, 4034, 827, 623, 56652, 1083, 236743, 236770, 236810, 236825, 236771, 236764, 623, 26329, 1083, 236743, 236828, 236819, 236764, 623, 177142, 1083, 236743, 236770, 236810, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236800, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236812, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236765, 51397, 236855, 236809, 236953, 827, 623, 21151, 1083, 623, 84585, 657, 9630, 645, 4395, 73206, 20564, 236789, 236751, 1932, 11452, 6478, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236771, 236810, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236812, 236761, 4034, 827, 623, 56652, 1083, 236743, 236770, 236800, 236812, 236771, 236764, 623, 26329, 1083, 236743, 236832, 236828, 236764, 623, 177142, 1083, 236743, 236770, 236800, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 236774, 236770, 236832, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236810, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236781, 2740, 59387, 236776, 827, 623, 21151, 1083, 623, 142031, 1280, 6347, 607, 1392, 504, 1591, 590, 831, 106156, 20564, 657, 236743, 236832, 3840, 41218, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236810, 236761, 4034, 827, 623, 56652, 1083, 236743, 236770, 236770, 236778, 236771, 236764, 623, 26329, 1083, 236743, 236825, 236832, 236764, 623, 177142, 1083, 236743, 236819, 236828, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236770, 236774, 236770, 236810, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236825, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236762, 88790, 59387, 236799, 827, 623, 21151, 1083, 623, 97850, 1610, 2436, 1932, 3097, 236743, 236819, 3840, 20564, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236770, 236819, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236825, 236761, 4034, 827, 623, 56652, 1083, 236743, 236819, 236828, 236771, 236764, 623, 26329, 1083, 236743, 236810, 236812, 236764, 623, 177142, 1083, 236743, 236828, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236770, 236825, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236832, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236802, 117709, 59387, 236780, 827, 623, 21151, 1083, 623, 11898, 32545, 25525, 7735, 236888, 89099, 531, 784, 11383, 621, 689, 236828, 236800, 236755, 236785, 689, 16652, 236825, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236832, 236761, 4034, 827, 623, 56652, 1083, 236743, 236828, 236832, 236771, 236764, 623, 26329, 1083, 236743, 236812, 236810, 236764, 623, 177142, 1083, 236743, 236832, 236825, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236819, 236774, 236770, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236828, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 1425, 236752, 59387, 236796, 827, 623, 21151, 1083, 623, 13743, 12325, 1023, 11452, 753, 7853, 5026, 1015, 3548, 1610, 11682, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236828, 236761, 4034, 827, 623, 56652, 1083, 236743, 236832, 236825, 236771, 236764, 623, 26329, 1083, 236743, 236800, 236812, 236764, 623, 177142, 1083, 236743, 236825, 236810, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236828, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236819, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 12357, 236752, 59387, 236788, 827, 623, 21151, 1083, 623, 4199, 30918, 9937, 657, 8137, 6718, 14629, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236828, 236819, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236819, 236761, 4034, 827, 623, 56652, 1083, 236743, 236825, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236778, 236819, 236764, 623, 177142, 1083, 236743, 236810, 236812, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236832, 236774, 236770, 236770, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236800, 236771, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 6459, 236752, 59387, 236811, 827, 623, 21151, 1083, 623, 218799, 5506, 236787, 19536, 6554, 1023, 3399, 7972, 11595, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236760, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236770, 236771, 236761, 4034, 827, 623, 56652, 1083, 236743, 236810, 236812, 236771, 236764, 623, 26329, 1083, 236743, 236778, 236770, 236764, 623, 177142, 1083, 236743, 236812, 236800, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236825, 236774, 236770, 236812, 236787, 236770, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236800, 236770, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 7560, 236752, 59387, 236823, 827, 623, 21151, 1083, 623, 56051, 2910, 607, 1392, 114922, 670, 15227, 20564, 657, 236743, 236825, 236787, 236800, 236771, 3840, 621, 689, 236828, 236800, 236753, 236785, 689, 893, 236800, 236785, 77118, 236771, 236760, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236770, 236770, 236761, 4034, 827, 623, 56652, 1083, 236743, 236812, 236800, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236828, 236764, 623, 177142, 1083, 236743, 236800, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236779, 236778, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236800, 236778, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 1089, 236752, 59387, 236814, 827, 623, 21151, 1083, 623, 36114, 6235, 236787, 236743, 236810, 236771, 236908, 1135, 784, 24482, 3097, 38735, 236888, 621, 689, 236828, 236800, 236753, 236785, 689, 24224, 236785, 77118, 236771, 236760, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236770, 236778, 236761, 4034, 827, 623, 56652, 1083, 236743, 236800, 236778, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236778, 236764, 623, 177142, 1083, 236743, 236778, 236770, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236812, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236751, 185410, 236855, 236809, 236824, 827, 623, 21151, 1083, 623, 162117, 506, 28239, 130235, 529, 40909, 236789, 236751, 22964, 7905, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 997, 199892, 9175, 206958, 997, 40703, 9175, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 92506, 1083, 3714, 56652, 1083, 236743, 236778, 236812, 236828, 236819, 236764, 623, 26329, 1083, 236743, 236770, 236800, 236778, 236764, 623, 177142, 1083, 236743, 236828, 236812, 236810, 1263, 623, 2364, 236779, 3906, 1083, 3714, 11668, 1083, 623, 504, 26636, 661, 106156, 827, 623, 76647, 1083, 236743, 236770, 236828, 236819, 236771, 236771, 236764, 623, 511, 236779, 87622, 1083, 2416, 1263, 623, 7125, 1083, 3714, 1201, 1083, 623, 199892, 236764, 10964, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236778, 236828, 236761, 236810, 236800, 236828, 236800, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236800, 236832, 236819, 236778, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10494, 236779, 1516, 1083, 3714, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236745, 185770, 236855, 236809, 236917, 827, 623, 21151, 1083, 623, 162117, 506, 28239, 15729, 529, 40909, 607, 1023, 6524, 30918, 2203, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 997, 504, 26636, 661, 106156, 997, 30419, 661, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 56652, 1083, 236743, 236778, 236812, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236828, 236819, 236764, 623, 177142, 1083, 236743, 236800, 236778, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236770, 236953, 827, 623, 2364, 236779, 3906, 1083, 3714, 11668, 1083, 623, 504, 26636, 661, 106156, 827, 623, 76647, 1083, 236743, 236770, 236828, 236810, 236771, 236771, 236764, 623, 71524, 1083, 236743, 236778, 236770, 236771, 19465, 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, 3970, 14255, 623, 29995, 1083, 642, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3970, 1083, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236799, 236812, 236750, 236917, 236819, 236766, 236797, 236752, 236855, 236809, 236874, 45502, 623, 21151, 1083, 623, 162117, 506, 28239, 15729, 529, 40909, 236789, 236751, 15653, 7905, 607, 1023, 6524, 30918, 11764, 236761, 997, 504, 26636, 661, 106156, 997, 2153, 661, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 56652, 1083, 236743, 236778, 236812, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236828, 236819, 236764, 623, 177142, 1083, 236743, 236800, 236778, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 2364, 1083, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 827, 623, 11668, 1083, 623, 504, 26636, 661, 106156, 827, 623, 10602, 236779, 1201, 1083, 623, 199892, 4585, 79535, 827, 623, 13330, 236779, 12904, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 13330, 236779, 94832, 236786, 504, 26636, 661, 106156, 236761, 4034, 23179, 623, 19112, 1083, 11058, 504, 26636, 661, 106156, 827, 623, 2153, 661, 827, 623, 46955, 1294, 827, 623, 504, 26636, 14865, 14255, 623, 7125, 1083, 3714, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 1201, 1083, 623, 199892, 14822, 9252, 827, 623, 37673, 1083, 236743, 236778, 236828, 236761, 236810, 236800, 236828, 236800, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236800, 236832, 236800, 236810, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236765, 51397, 236855, 236809, 236953, 827, 623, 21151, 1083, 623, 162117, 506, 28239, 130235, 529, 40909, 236789, 236751, 22964, 15653, 7905, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 997, 504, 26636, 661, 106156, 997, 2153, 661, 997, 6047, 96078, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 56652, 1083, 236743, 236770, 236778, 236832, 236812, 236800, 236764, 623, 26329, 1083, 236743, 236828, 236819, 236778, 236764, 623, 177142, 1083, 236743, 236800, 236771, 236810, 236825, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 2364, 1083, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 827, 623, 11668, 1083, 623, 504, 26636, 661, 106156, 827, 623, 10602, 236779, 1201, 1083, 623, 199892, 4585, 79535, 827, 623, 13330, 236779, 12904, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 504, 26636, 661, 236761, 4034, 23179, 623, 92506, 236779, 4720, 1083, 236743, 236771, 236761, 236770, 236828, 236764, 623, 19112, 1083, 11058, 504, 26636, 661, 106156, 827, 623, 2153, 661, 827, 623, 6047, 96078, 827, 623, 236757, 1762, 661, 99471, 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, 11668, 14255, 623, 29995, 1083, 3714, 3970, 1083, 623, 7741, 7087, 15345, 7689, 531, 33205, 2430, 5853, 1680, 67931, 4009, 1262, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 3274, 236779, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236771, 236771, 236812, 236771, 236778, 236812, 236828, 827, 623, 10494, 236779, 2084, 1083, 623, 18902, 827, 623, 21151, 1083, 623, 162117, 506, 28239, 15729, 529, 40909, 236789, 236751, 1610, 7905, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 236785, 236756, 236778, 236832, 236778, 236828, 997, 199892, 9175, 206958, 997, 40703, 9175, 827, 623, 2364, 236779, 3906, 1083, 3714, 11668, 1083, 623, 504, 26636, 661, 106156, 827, 623, 2364, 236779, 547, 1083, 623, 236770, 236819, 236778, 236828, 236800, 236771, 236819, 236812, 236810, 236770, 236778, 23179, 623, 92506, 1083, 3714, 56652, 1083, 236743, 236778, 236812, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236770, 236828, 236819, 236764, 623, 177142, 1083, 236743, 236800, 236778, 236832, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 827, 623, 15721, 236779, 3970, 1083, 623, 236799, 236812, 236750, 236917, 236819, 236781, 2740, 59387, 236776, 25938, 106, 107, 105, 4368, 107, 1018, 35434, 529, 40909, 4585, 79535, 236789, 236751, 10365, 93384, 53121, 108, 1018, 8534, 236743, 236800, 7660, 203926, 49040, 53121, 107, 236770, 236761, 5213, 7118, 603, 236812, 236750, 236917, 236819, 236765, 51397, 236855, 236809, 236953, 1018, 138, 107, 139, 236772, 217360, 236787, 623, 162117, 506, 28239, 130235, 529, 40909, 236789, 236751, 22964, 15653, 7905, 236888, 236743, 245838, 997, 504, 26636, 661, 106156, 997, 2153, 661, 997, 6047, 96078, 236775, 138, 107, 139, 236772, 63010, 236787, 5213, 236770, 236778, 236764, 236832, 236812, 236800, 15975, 125546, 5213, 236828, 236819, 236778, 8968, 125546, 5213, 236800, 236764, 236771, 236810, 236825, 32635, 1018, 138, 107, 139, 236772, 24246, 236787, 167132, 30918, 1610, 528, 40909, 236789, 236751, 15653, 7905, 236761, 138, 108, 236778, 236761, 5213, 7118, 603, 236812, 236750, 236917, 236819, 236751, 185410, 236855, 236809, 236824, 1018, 138, 107, 139, 236772, 217360, 236787, 623, 211703, 2263, 30918, 617, 1392, 172061, 14280, 236802, 661, 236789, 236751, 861, 22964, 11764, 236888, 997, 199892, 9175, 236775, 138, 107, 139, 236772, 63010, 236787, 5213, 236778, 236764, 236812, 236828, 236819, 15975, 125546, 5213, 236770, 236800, 236778, 8968, 125546, 5213, 236828, 236812, 236810, 32635, 1018, 138, 107, 139, 236772, 24246, 236787, 147635, 11764, 684, 16939, 8325, 236761, 138, 108, 236800, 236761, 5213, 7118, 603, 236812, 236750, 236917, 236819, 236745, 185770, 236855, 236809, 236917, 1018, 138, 107, 139, 236772, 217360, 236787, 623, 101255, 236772, 1437, 236772, 85151, 657, 1023, 3399, 1610, 18669, 236743, 245838, 239794, 997, 9175, 39454, 236775, 138, 107, 139, 236772, 63010, 236787, 5213, 236778, 236764, 236812, 236810, 236771, 15975, 125546, 5213, 236770, 236828, 236819, 8968, 125546, 5213, 236800, 236778, 236771, 32635, 1018, 138, 107, 139, 236772, 24246, 236787, 39405, 11383, 7107, 1610, 236761, 138, 108, 1018, 174482, 137944, 53121, 138, 107, 236772, 5213, 46640, 30235, 53121, 49040, 11572, 8357, 67529, 607, 2263, 11421, 568, 236744, 236761, 236759, 1126, 1392, 172061, 14280, 236802, 661, 779, 28023, 236764, 532, 24564, 7760, 236761, 138, 107, 236772, 5213, 19118, 4585, 115418, 53121, 10871, 1294, 236764, 7363, 1610, 236764, 532, 35490, 41932, 7426, 3004, 236764, 3187, 56188, 607, 997, 199892, 9175, 206958, 532, 997, 19118, 9175, 236761, 138, 107, 236772, 5213, 227187, 79283, 53121, 40179, 9139, 573, 11421, 236764, 2460, 41383, 236764, 532, 21931, 100264, 568, 236744, 236761, 236759, 1126, 623, 12345, 5026, 1015, 3548, 1610, 11682, 4248, 138, 108, 1018, 42814, 39888, 833, 24118, 53121, 138, 107, 236772, 669, 2165, 828, 236779, 10494, 236779, 1516, 236929, 5904, 3149, 2587, 10365, 60973, 568, 236744, 236761, 236759, 1126, 623, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 236758, 236786, 236799, 236812, 236750, 236917, 236819, 236766, 236797, 236752, 236855, 236809, 236874, 96988, 5205, 529, 2822, 17253, 7057, 573, 6595, 51139, 236761, 138, 107, 236772, 3725, 906, 236758, 21893, 528, 15154, 19455, 568, 236744, 236761, 236759, 1126, 15975, 580, 6531, 603, 236812, 236750, 236917, 236819, 236765, 51397, 236855, 236809, 236953, 32694, 699, 236743, 236770, 236764, 236800, 236812, 236771, 528, 4387, 1262, 531, 236743, 236770, 236778, 236764, 236832, 236812, 236800, 528, 4009, 1262, 236768, 3600, 3435, 9299, 80864, 653, 21238, 8798, 236761, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3671, 3342, 653, 3213, 580, 3530, 19455, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6250, 496, 37358, 2780, 7805, 532, 1461, 531, 2426, 855, 506, 11930, 25089, 14232, 16455, 4504, 25406, 568, 7163, 5853, 236787, 603, 236771, 236771, 236828, 236832, 8017, 236791, 236810, 236778, 236768, 532, 506, 47266, 236743, 236832, 236812, 236770, 236771, 236771, 236771, 96960, 1072, 17587, 9940, 497, 568, 7163, 5853, 236787, 603, 236771, 236771, 236771, 236771, 236812, 236863, 236770, 236800, 236935, 769, 3199, 611, 974, 786, 506, 5602, 10595, 236764, 24074, 236764, 532, 2307, 23003, 573, 1800, 236881, 564, 1202, 531, 10741, 837, 886, 531, 2233, 528, 573, 7257, 23642, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 236828, 236832, 8017, 236791, 236810, 236778, 827, 623, 3250, 1083, 623, 25261, 25089, 14232, 16455, 4504, 25406, 827, 623, 9707, 1083, 6610, 236800, 236819, 236819, 236761, 236819, 236819, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236828, 236770, 236778, 236764, 623, 2478, 236779, 16518, 1083, 11058, 236770, 236810, 236771, 236771, 236824, 5177, 5898, 115440, 827, 623, 201320, 8103, 5431, 827, 623, 66649, 742, 4022, 2256, 568, 236770, 236771, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 753, 236743, 236778, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 22730, 623, 64556, 11495, 23924, 60243, 827, 623, 42960, 236772, 1071, 236772, 19178, 1813, 3661, 14255, 623, 3991, 236779, 66850, 1083, 78493, 13126, 1083, 236743, 236810, 236764, 623, 6011, 1083, 623, 54133, 573, 50415, 532, 8113, 27432, 827, 623, 1005, 1083, 623, 236777, 236789, 560, 59010, 4326, 699, 208362, 531, 16062, 607, 9958, 2536, 236761, 669, 5177, 12239, 1386, 4022, 3997, 93907, 221476, 3714, 13126, 1083, 236743, 236812, 236764, 623, 6011, 1083, 623, 20418, 115440, 840, 4716, 990, 531, 3409, 827, 623, 1005, 1083, 623, 22995, 1161, 1053, 1070, 8901, 22879, 236764, 840, 1308, 18830, 1135, 625, 4146, 174109, 236761, 37843, 5602, 1894, 2311, 221476, 3714, 13126, 1083, 236743, 236810, 236764, 623, 6011, 1083, 623, 197976, 1418, 55890, 827, 623, 1005, 1083, 623, 109195, 531, 1041, 2255, 45450, 115440, 236764, 672, 5898, 2028, 32635, 834, 1623, 990, 1651, 21295, 7646, 18434, 1781, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 236771, 236771, 236812, 236863, 236770, 236800, 236935, 827, 623, 3250, 1083, 623, 182347, 236743, 236832, 236812, 236770, 236771, 236771, 236771, 96960, 1072, 17587, 9940, 497, 827, 623, 70686, 1083, 3714, 28128, 1083, 236743, 236812, 236761, 236832, 236764, 623, 2861, 1083, 236743, 236770, 236778, 236828, 236810, 1263, 623, 66850, 1083, 78493, 13126, 1083, 236743, 236810, 236764, 623, 6011, 1083, 623, 60881, 115440, 573, 24636, 56179, 827, 623, 3063, 1083, 623, 54133, 573, 2708, 236772, 624, 236772, 52807, 14049, 236761, 14589, 1426, 9958, 2536, 607, 11893, 4514, 221476, 3714, 13126, 1083, 236743, 236812, 236764, 623, 6011, 1083, 623, 20418, 18434, 840, 4735, 9023, 827, 623, 3063, 1083, 623, 170171, 990, 531, 7588, 4022, 2256, 236764, 840, 5367, 625, 573, 6205, 56179, 48030, 1781, 104960, 623, 9707, 1083, 3714, 4002, 1083, 236743, 236800, 236819, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 5690, 8112, 1083, 3714, 10236, 1083, 623, 84157, 827, 623, 48578, 1083, 623, 236770, 236828, 236761, 236810, 236772, 14490, 13634, 1123, 236743, 236800, 236778, 236772, 14490, 3558, 827, 623, 16518, 1083, 11058, 66649, 742, 2634, 200244, 827, 623, 19254, 41197, 236772, 6434, 991, 13392, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 9960, 529, 1800, 90005, 531, 1601, 607, 822, 4893, 236787, 108, 1018, 25261, 25089, 14232, 16455, 4504, 25406, 568, 236799, 236771, 236771, 236828, 236832, 8017, 236791, 236810, 236778, 62902, 138, 107, 236772, 5213, 11280, 66515, 609, 236800, 236819, 236819, 236761, 236819, 236819, 138, 107, 236772, 5213, 35089, 47240, 66515, 236743, 236812, 236761, 236810, 236786, 236810, 568, 236828, 236770, 236778, 10595, 236768, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 236743, 236770, 236810, 236771, 236771, 236824, 5177, 5898, 115440, 138, 107, 138, 236772, 76247, 8103, 5431, 138, 107, 138, 236772, 111660, 4022, 2256, 568, 236770, 236771, 236771, 237366, 236811, 753, 236743, 236778, 236832, 236810, 237366, 236811, 236768, 138, 107, 138, 236772, 49308, 11495, 23924, 60243, 138, 107, 138, 236772, 21437, 236772, 1071, 236772, 19178, 1813, 3661, 138, 107, 236772, 5213, 8534, 31727, 66515, 138, 107, 138, 236772, 236743, 236810, 236786, 236810, 236787, 623, 54133, 573, 50415, 532, 8113, 27432, 236761, 14232, 12239, 1386, 4022, 3997, 93907, 1781, 138, 107, 138, 236772, 236743, 236812, 236786, 236810, 236787, 623, 20418, 115440, 840, 4716, 990, 531, 3409, 236761, 20879, 8901, 22879, 118812, 1308, 1171, 1161, 1781, 138, 107, 138, 236772, 236743, 236810, 236786, 236810, 236787, 623, 197976, 1418, 55890, 236761, 146805, 990, 5483, 531, 45450, 1651, 21295, 7646, 18434, 1781, 138, 108, 7243, 108, 1018, 182347, 236743, 236832, 236812, 236770, 236771, 236771, 236771, 96960, 1072, 17587, 9940, 497, 568, 236799, 236771, 236771, 236771, 236771, 236812, 236863, 236770, 236800, 236935, 62902, 138, 107, 236772, 5213, 11280, 66515, 609, 236800, 236819, 236819, 236761, 236819, 236819, 138, 107, 236772, 5213, 35089, 47240, 66515, 236743, 236812, 236761, 236832, 236786, 236810, 568, 236770, 236778, 236828, 236810, 10595, 236768, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 20012, 5431, 138, 107, 138, 236772, 236743, 236770, 236828, 236761, 236810, 236775, 13634, 1123, 236743, 236800, 236778, 236775, 3558, 6541, 138, 107, 138, 236772, 111660, 2634, 200244, 138, 107, 138, 236772, 184933, 236772, 6434, 991, 13392, 138, 107, 236772, 5213, 8534, 31727, 66515, 138, 107, 138, 236772, 236743, 236810, 236786, 236810, 236787, 623, 60881, 115440, 573, 24636, 56179, 236761, 26079, 573, 2708, 236772, 624, 236772, 52807, 14049, 607, 11893, 4514, 1781, 138, 107, 138, 236772, 236743, 236812, 236786, 236810, 236787, 623, 20418, 18434, 840, 496, 4735, 9023, 573, 4022, 2256, 236761, 35900, 625, 573, 6205, 56179, 48030, 1781, 138, 108, 7243, 108, 1018, 35434, 573, 5180, 102496, 10353, 18591, 66515, 138, 107, 236772, 5213, 25261, 25089, 1018, 563, 7436, 573, 5213, 79030, 236764, 4916, 236772, 2865, 5898, 24264, 1018, 607, 4532, 4065, 1133, 5177, 12239, 532, 496, 11495, 23924, 236761, 27026, 573, 50415, 653, 1494, 236772, 20845, 1161, 236761, 138, 107, 236772, 5213, 182347, 1018, 123552, 528, 5213, 153085, 45450, 236772, 200847, 18434, 1018, 840, 7087, 919, 12889, 531, 9688, 11139, 236761, 93089, 684, 6672, 1954, 653, 1724, 132187, 56179, 2076, 1929, 236761, 138, 108, 22186, 659, 24977, 31979, 236764, 840, 506, 47266, 815, 496, 8427, 3715, 14470, 532, 919, 10595, 236761, 14066, 7257, 1800, 768, 2653, 236764, 653, 56856, 506, 11930, 25089, 573, 13358, 529, 1161, 653, 47266, 573, 6672, 18434, 20183, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6250, 496, 37358, 2780, 7805, 532, 1461, 531, 2426, 855, 506, 11930, 25089, 14232, 16455, 4504, 25406, 568, 7163, 5853, 236787, 603, 236771, 236771, 236828, 236832, 8017, 236791, 236810, 236778, 236768, 532, 506, 47266, 236743, 236832, 236812, 236770, 236771, 236771, 236771, 96960, 1072, 17587, 9940, 497, 568, 7163, 5853, 236787, 603, 236771, 236771, 236771, 236771, 236812, 236863, 236770, 236800, 236935, 769, 3199, 611, 974, 786, 506, 5602, 10595, 236764, 24074, 236764, 532, 2307, 23003, 573, 1800, 236881, 564, 1202, 531, 10741, 837, 886, 531, 2233, 528, 573, 7257, 23642, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 236828, 236832, 8017, 236791, 236810, 236778, 827, 623, 3250, 1083, 623, 25261, 25089, 14232, 16455, 4504, 25406, 827, 623, 9707, 1083, 6610, 236800, 236819, 236819, 236761, 236819, 236819, 827, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236828, 236770, 236778, 236764, 623, 2478, 236779, 16518, 1083, 11058, 236770, 236810, 236771, 236771, 236824, 5177, 5898, 115440, 827, 623, 201320, 8103, 5431, 827, 623, 66649, 742, 4022, 2256, 568, 236770, 236771, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 753, 236743, 236778, 236832, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 22730, 623, 64556, 11495, 23924, 60243, 827, 623, 42960, 236772, 1071, 236772, 19178, 1813, 3661, 14255, 623, 3991, 236779, 66850, 1083, 78493, 13126, 1083, 236743, 236810, 236764, 623, 6011, 1083, 623, 54133, 573, 50415, 532, 8113, 27432, 827, 623, 1005, 1083, 623, 236777, 236789, 560, 59010, 4326, 699, 208362, 531, 16062, 607, 9958, 2536, 236761, 669, 5177, 12239, 1386, 4022, 3997, 93907, 221476, 3714, 13126, 1083, 236743, 236812, 236764, 623, 6011, 1083, 623, 20418, 115440, 840, 4716, 990, 531, 3409, 827, 623, 1005, 1083, 623, 22995, 1161, 1053, 1070, 8901, 22879, 236764, 840, 1308, 18830, 1135, 625, 4146, 174109, 236761, 37843, 5602, 1894, 2311, 221476, 3714, 13126, 1083, 236743, 236810, 236764, 623, 6011, 1083, 623, 197976, 1418, 55890, 827, 623, 1005, 1083, 623, 109195, 531, 1041, 2255, 45450, 115440, 236764, 672, 5898, 2028, 32635, 834, 1623, 990, 1651, 21295, 7646, 18434, 1781, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 236771, 236771, 236812, 236863, 236770, 236800, 236935, 827, 623, 3250, 1083, 623, 182347, 236743, 236832, 236812, 236770, 236771, 236771, 236771, 96960, 1072, 17587, 9940, 497, 827, 623, 70686, 1083, 3714, 28128, 1083, 236743, 236812, 236761, 236832, 236764, 623, 2861, 1083, 236743, 236770, 236778, 236828, 236810, 1263, 623, 66850, 1083, 78493, 13126, 1083, 236743, 236810, 236764, 623, 6011, 1083, 623, 60881, 115440, 573, 24636, 56179, 827, 623, 3063, 1083, 623, 54133, 573, 2708, 236772, 624, 236772, 52807, 14049, 236761, 14589, 1426, 9958, 2536, 607, 11893, 4514, 221476, 3714, 13126, 1083, 236743, 236812, 236764, 623, 6011, 1083, 623, 20418, 18434, 840, 4735, 9023, 827, 623, 3063, 1083, 623, 170171, 990, 531, 7588, 4022, 2256, 236764, 840, 5367, 625, 573, 6205, 56179, 48030, 1781, 104960, 623, 9707, 1083, 3714, 4002, 1083, 236743, 236800, 236819, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 5690, 8112, 1083, 3714, 10236, 1083, 623, 84157, 827, 623, 48578, 1083, 623, 236770, 236828, 236761, 236810, 236772, 14490, 13634, 1123, 236743, 236800, 236778, 236772, 14490, 3558, 827, 623, 16518, 1083, 11058, 66649, 742, 2634, 200244, 827, 623, 19254, 41197, 236772, 6434, 991, 13392, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 9960, 529, 1800, 90005, 531, 1601, 607, 822, 4893, 236787, 108, 1018, 25261, 25089, 14232, 16455, 4504, 25406, 568, 236799, 236771, 236771, 236828, 236832, 8017, 236791, 236810, 236778, 62902, 138, 107, 236772, 5213, 11280, 66515, 609, 236800, 236819, 236819, 236761, 236819, 236819, 138, 107, 236772, 5213, 35089, 47240, 66515, 236743, 236812, 236761, 236810, 236786, 236810, 568, 236828, 236770, 236778, 10595, 236768, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 236743, 236770, 236810, 236771, 236771, 236824, 5177, 5898, 115440, 138, 107, 138, 236772, 76247, 8103, 5431, 138, 107, 138, 236772, 111660, 4022, 2256, 568, 236770, 236771, 236771, 237366, 236811, 753, 236743, 236778, 236832, 236810, 237366, 236811, 236768, 138, 107, 138, 236772, 49308, 11495, 23924, 60243, 138, 107, 138, 236772, 21437, 236772, 1071, 236772, 19178, 1813, 3661, 138, 107, 236772, 5213, 8534, 31727, 66515, 138, 107, 138, 236772, 236743, 236810, 236786, 236810, 236787, 623, 54133, 573, 50415, 532, 8113, 27432, 236761, 14232, 12239, 1386, 4022, 3997, 93907, 1781, 138, 107, 138, 236772, 236743, 236812, 236786, 236810, 236787, 623, 20418, 115440, 840, 4716, 990, 531, 3409, 236761, 20879, 8901, 22879, 118812, 1308, 1171, 1161, 1781, 138, 107, 138, 236772, 236743, 236810, 236786, 236810, 236787, 623, 197976, 1418, 55890, 236761, 146805, 990, 5483, 531, 45450, 1651, 21295, 7646, 18434, 1781, 138, 108, 7243, 108, 1018, 182347, 236743, 236832, 236812, 236770, 236771, 236771, 236771, 96960, 1072, 17587, 9940, 497, 568, 236799, 236771, 236771, 236771, 236771, 236812, 236863, 236770, 236800, 236935, 62902, 138, 107, 236772, 5213, 11280, 66515, 609, 236800, 236819, 236819, 236761, 236819, 236819, 138, 107, 236772, 5213, 35089, 47240, 66515, 236743, 236812, 236761, 236832, 236786, 236810, 568, 236770, 236778, 236828, 236810, 10595, 236768, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 20012, 5431, 138, 107, 138, 236772, 236743, 236770, 236828, 236761, 236810, 236775, 13634, 1123, 236743, 236800, 236778, 236775, 3558, 6541, 138, 107, 138, 236772, 111660, 2634, 200244, 138, 107, 138, 236772, 184933, 236772, 6434, 991, 13392, 138, 107, 236772, 5213, 8534, 31727, 66515, 138, 107, 138, 236772, 236743, 236810, 236786, 236810, 236787, 623, 60881, 115440, 573, 24636, 56179, 236761, 26079, 573, 2708, 236772, 624, 236772, 52807, 14049, 607, 11893, 4514, 1781, 138, 107, 138, 236772, 236743, 236812, 236786, 236810, 236787, 623, 20418, 18434, 840, 496, 4735, 9023, 573, 4022, 2256, 236761, 35900, 625, 573, 6205, 56179, 48030, 1781, 138, 108, 7243, 108, 1018, 35434, 573, 5180, 102496, 10353, 18591, 66515, 138, 107, 236772, 5213, 25261, 25089, 1018, 563, 7436, 573, 5213, 79030, 236764, 4916, 236772, 2865, 5898, 24264, 1018, 607, 4532, 4065, 1133, 5177, 12239, 532, 496, 11495, 23924, 236761, 27026, 573, 50415, 653, 1494, 236772, 20845, 1161, 236761, 138, 107, 236772, 5213, 182347, 1018, 123552, 528, 5213, 153085, 45450, 236772, 200847, 18434, 1018, 840, 7087, 919, 12889, 531, 9688, 11139, 236761, 93089, 684, 6672, 1954, 653, 1724, 132187, 56179, 2076, 1929, 236761, 138, 108, 22186, 659, 24977, 31979, 236764, 840, 506, 47266, 815, 496, 8427, 3715, 14470, 532, 919, 10595, 236761, 14066, 7257, 1800, 768, 2653, 236764, 653, 56856, 506, 11930, 25089, 573, 13358, 529, 1161, 653, 47266, 573, 6672, 18434, 20183, 236761, 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, 564, 236789, 236757, 1601, 495, 236789, 496, 3184, 517, 3192, 1076, 872, 496, 1944, 32095, 4762, 22964, 103043, 8674, 68648, 236764, 532, 692, 236789, 500, 1385, 495, 236789, 573, 47170, 11113, 10383, 236789, 5434, 236761, 564, 5630, 1491, 606, 236755, 3590, 1724, 6211, 37424, 532, 73756, 573, 10002, 9952, 236761, 28344, 4334, 1385, 872, 910, 6524, 1698, 55455, 573, 46225, 11113, 10383, 236789, 3797, 236881, 39799, 1202, 4889, 580, 3711, 6541, 532, 13376, 573, 167576, 77085, 1082, 236743, 236828, 6172, 753, 672, 1977, 563, 78823, 1082, 496, 22023, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 236953, 606, 236755, 25674, 1965, 23566, 827, 623, 17870, 1083, 78493, 1201, 1083, 623, 116359, 26745, 25674, 1965, 1804, 827, 623, 4368, 1083, 623, 91662, 236772, 236828, 236810, 236771, 827, 623, 2335, 236779, 48578, 1083, 623, 236828, 236810, 236771, 11944, 810, 27319, 827, 623, 63265, 1083, 623, 236798, 236819, 236771, 236771, 1123, 649, 236825, 236771, 236771, 1123, 640, 236778, 236771, 236771, 236771, 6929, 827, 623, 2224, 519, 236779, 2690, 1083, 623, 236832, 236761, 236810, 6172, 827, 623, 16518, 1083, 11058, 66649, 742, 27319, 36209, 827, 623, 45156, 1128, 236772, 60366, 9009, 827, 623, 36120, 236772, 6980, 14510, 152254, 3714, 1201, 1083, 623, 236847, 236772, 3138, 18287, 20012, 81637, 827, 623, 4368, 1083, 623, 236847, 4870, 236772, 236770, 236778, 236771, 236771, 827, 623, 2335, 236779, 48578, 1083, 623, 236770, 236778, 236771, 236771, 11944, 810, 1984, 827, 623, 63265, 1083, 623, 236798, 236770, 236778, 236771, 236771, 1123, 649, 236832, 236771, 236771, 1123, 640, 236778, 236778, 236771, 236771, 6929, 827, 623, 2224, 519, 236779, 2690, 1083, 623, 236832, 236761, 236828, 6172, 827, 623, 16518, 1083, 11058, 141200, 23461, 8103, 30962, 827, 623, 1869, 41585, 236772, 36954, 1702, 827, 623, 140680, 9831, 152254, 3714, 1201, 1083, 623, 182447, 562, 79097, 35202, 236772, 116195, 81637, 827, 623, 4368, 1083, 623, 102726, 236772, 236819, 236771, 236771, 827, 623, 2335, 236779, 48578, 1083, 623, 236819, 236771, 236771, 11944, 810, 27319, 827, 623, 63265, 1083, 623, 236798, 236770, 236771, 236771, 236771, 1123, 649, 236810, 236810, 236771, 1123, 640, 236778, 236770, 236771, 236771, 6929, 827, 623, 2224, 519, 236779, 2690, 1083, 623, 236832, 236761, 236778, 6172, 827, 623, 16518, 1083, 11058, 17642, 236772, 49708, 1702, 827, 623, 28118, 6493, 1662, 8103, 5431, 827, 623, 97880, 5646, 83522, 99471, 1604, 623, 11607, 1083, 3714, 31935, 1083, 623, 2769, 236761, 236802, 606, 236755, 236761, 854, 236761, 27698, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236778, 236812, 236743, 236800, 236828, 236810, 236828, 236743, 236828, 236828, 236828, 236828, 827, 623, 6774, 1083, 623, 26377, 236940, 236802, 606, 236755, 236761, 854, 236761, 27698, 23179, 623, 14210, 1083, 623, 3243, 13376, 740, 577, 34037, 573, 11119, 9952, 236761, 58731, 573, 11936, 607, 74578, 64034, 1534, 236743, 236825, 236761, 236810, 236772, 236828, 6172, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1491, 606, 236755, 236789, 236751, 10325, 123010, 5434, 573, 12019, 167576, 1208, 236743, 236828, 6172, 236787, 108, 236770, 236761, 5213, 116359, 26745, 25674, 1965, 1804, 568, 91662, 236772, 236828, 236810, 236771, 62902, 107, 139, 236772, 16959, 6541, 236787, 236743, 236828, 236810, 236771, 11944, 810, 27319, 107, 139, 236772, 51287, 236787, 236743, 236819, 236771, 236771, 236798, 1123, 236743, 236825, 236771, 236771, 236824, 1123, 236743, 236778, 236771, 236771, 236771, 236814, 6929, 107, 139, 236772, 562, 79097, 13469, 236787, 236743, 236832, 236761, 236810, 6172, 107, 139, 236772, 25772, 236787, 111660, 37424, 236764, 13950, 236772, 60366, 9009, 236764, 3823, 236772, 6980, 14510, 108, 236778, 236761, 5213, 236847, 236772, 3138, 18287, 20012, 81637, 568, 236847, 4870, 236772, 236770, 236778, 236771, 236771, 62902, 107, 139, 236772, 16959, 6541, 236787, 236743, 236770, 236778, 236771, 236771, 11944, 810, 1984, 107, 139, 236772, 51287, 236787, 236743, 236770, 236778, 236771, 236771, 236798, 1123, 236743, 236832, 236771, 236771, 236824, 1123, 236743, 236778, 236778, 236771, 236771, 236814, 6929, 107, 139, 236772, 562, 79097, 13469, 236787, 236743, 236832, 236761, 236828, 6172, 107, 139, 236772, 25772, 236787, 210636, 30962, 236764, 54226, 236772, 36954, 236764, 37284, 9831, 108, 236800, 236761, 5213, 182447, 562, 79097, 35202, 236772, 116195, 81637, 568, 102726, 236772, 236819, 236771, 236771, 62902, 107, 139, 236772, 16959, 6541, 236787, 236743, 236819, 236771, 236771, 11944, 810, 27319, 107, 139, 236772, 51287, 236787, 236743, 236770, 236771, 236771, 236771, 236798, 1123, 236743, 236810, 236810, 236771, 236824, 1123, 236743, 236778, 236770, 236771, 236771, 236814, 6929, 107, 139, 236772, 562, 79097, 13469, 236787, 236743, 236832, 236761, 236778, 6172, 568, 3374, 11236, 5086, 236768, 107, 139, 236772, 25772, 236787, 13510, 236772, 49708, 1702, 236764, 130077, 8103, 236764, 5646, 83522, 108, 3243, 4681, 740, 577, 34037, 573, 11119, 9952, 236761, 1701, 24576, 29262, 653, 531, 3249, 822, 103043, 8674, 68648, 4563, 6035, 236764, 3662, 236787, 107, 236772, 21124, 236787, 870, 2769, 236761, 236802, 606, 236755, 236761, 854, 236761, 27698, 5457, 2855, 1411, 2769, 236761, 236802, 606, 236755, 236761, 854, 236761, 27698, 236768, 107, 236772, 23386, 236787, 900, 236828, 236812, 236743, 236778, 236812, 236743, 236800, 236828, 236810, 236828, 236743, 236828, 236828, 236828, 236828, 107, 236772, 19955, 236787, 5886, 236940, 236802, 606, 236755, 236761, 854, 236761, 27698, 108, 818, 137729, 236772, 236819, 236771, 236771, 2028, 7412, 7436, 573, 822, 12019, 598, 9952, 236764, 1651, 506, 782, 4870, 236772, 236770, 236778, 236771, 236771, 5469, 7310, 3711, 6541, 573, 7274, 18241, 236761, 21284, 611, 1133, 1601, 22020, 3530, 4681, 653, 4065, 236881, 106, 107, 105, 2364, 107, 46003, 45477, 573, 6267, 495, 236789, 855, 1724, 3835, 236764, 4389, 236761, 3792, 786, 1845, 235293, 495, 236789, 684, 4334, 753, 672, 3184, 22622, 236789, 236751, 2506, 496, 11119, 7715, 840, 3548, 13451, 11113, 10383, 236789, 600, 2810, 236789, 236745, 32963, 580, 6332, 236761, 669, 137729, 236772, 236819, 236771, 236771, 236789, 236751, 11236, 2425, 5072, 4011, 573, 506, 3645, 6651, 2433, 236764, 840, 564, 236789, 236757, 22566, 1003, 506, 236743, 236819, 236771, 236771, 7022, 6541, 573, 17040, 4852, 236761, 28344, 4334, 10769, 1217, 506, 137729, 236772, 236819, 236771, 236771, 532, 782, 4870, 236772, 236770, 236778, 236771, 236771, 6060, 9351, 61573, 29262, 236881, 6542, 236764, 776, 1027, 529, 1239, 4681, 2229, 607, 29929, 3558, 7846, 531, 29893, 3034, 19142, 236881, 669, 9989, 8150, 531, 24036, 28594, 35759, 2180, 3717, 495, 236789, 861, 73756, 1418, 990, 236761, 106, 107, 105, 4368, 107, 4663, 506, 1698, 23003, 3847, 236787, 108, 1018, 37202, 842, 19655, 36520, 53121, 107, 236772, 5213, 102726, 236772, 236819, 236771, 236771, 568, 182447, 562, 79097, 9483, 1473, 1018, 25772, 13148, 5646, 83522, 573, 11646, 840, 951, 14481, 4928, 529, 9351, 61573, 20478, 236761, 9567, 236743, 236819, 236771, 236771, 7022, 6541, 563, 810, 27319, 1984, 236764, 3043, 625, 2480, 28983, 573, 3161, 236772, 43289, 6182, 528, 11119, 9952, 236761, 107, 236772, 5213, 236847, 4870, 236772, 236770, 236778, 236771, 236771, 568, 236847, 236772, 3138, 18287, 20012, 81637, 1473, 1018, 210636, 8103, 30962, 532, 37284, 9831, 2174, 9351, 61573, 529, 5065, 6630, 236761, 669, 236743, 236770, 236778, 236771, 236771, 7022, 6541, 810, 1984, 12765, 40444, 18241, 1056, 61573, 236764, 7436, 573, 17040, 6310, 236761, 108, 1018, 66649, 742, 46595, 24961, 53121, 107, 236772, 669, 5213, 91662, 236772, 236828, 236810, 236771, 57725, 25674, 1965, 1804, 1018, 568, 31125, 6517, 236768, 25010, 5132, 623, 66649, 742, 27319, 36209, 236775, 618, 496, 4926, 236764, 3043, 625, 7436, 573, 28594, 3034, 3731, 236761, 669, 137729, 236772, 236819, 236771, 236771, 532, 782, 4870, 236772, 236770, 236778, 236771, 236771, 776, 711, 1694, 29929, 36209, 528, 910, 4065, 236764, 22169, 6530, 27319, 32191, 236761, 108, 1018, 71653, 236772, 83899, 111506, 53121, 107, 236770, 236761, 5213, 31745, 35693, 14133, 53121, 6890, 137729, 236772, 236819, 236771, 236771, 573, 1061, 236743, 236832, 236761, 236778, 765, 74578, 13469, 236764, 840, 6727, 625, 607, 58243, 236772, 236828, 236810, 236771, 6630, 573, 3034, 20874, 38702, 29929, 36209, 236761, 669, 58243, 236772, 236828, 236810, 236771, 236858, 236751, 3823, 236772, 6980, 14510, 992, 79969, 188369, 236761, 107, 236778, 236761, 5213, 127080, 25795, 53121, 22282, 77372, 782, 4870, 236772, 236770, 236778, 236771, 236771, 73756, 528, 17865, 1063, 4106, 568, 236832, 236761, 236828, 765, 74578, 13469, 236768, 1298, 9351, 61573, 740, 29893, 6310, 7620, 532, 6060, 40444, 20579, 236761, 107, 236800, 236761, 5213, 23077, 236772, 76652, 42272, 53121, 1491, 606, 236755, 236858, 236751, 37284, 11803, 2174, 18531, 4681, 236761, 6890, 137729, 236772, 236819, 236771, 236771, 528, 12019, 20874, 532, 782, 4870, 236786, 91662, 1298, 19142, 532, 6541, 4217, 1346, 236764, 41346, 7715, 532, 18544, 236761, 108, 38786, 611, 1133, 786, 531, 59638, 672, 3342, 653, 2426, 768, 1491, 606, 236755, 5469, 22617, 3835, 573, 48951, 236881, 106, 107, 105, 2364, 107, 12879, 573, 2541, 495, 236789, 600, 1679, 834, 3582, 236761, 669, 3184, 880, 236789, 236751, 8426, 25224, 495, 236789, 8797, 600, 782, 4870, 236772, 236770, 236778, 236771, 236771, 573, 506, 1063, 6310, 753, 668, 236789, 859, 1202, 531, 10166, 1724, 17040, 4852, 1494, 236761, 2024, 2768, 580, 753, 1451, 4334, 2426, 768, 1491, 606, 236755, 5469, 1027, 22617, 17489, 653, 32013, 49891, 573, 1944, 8634, 236881, 564, 16355, 1091, 4928, 495, 236789, 235293, 495, 236789, 1003, 756, 18146, 29262, 236789, 528, 910, 1698, 29141, 236761, 65028, 577, 5367, 35291, 495, 236789, 768, 901, 236789, 560, 2506, 15663, 573, 48951, 1385, 495, 236789, 531, 6921, 1607, 4681, 1133, 506, 137729, 236772, 236819, 236771, 236771, 532, 58243, 236772, 236828, 236810, 236771, 611, 6950, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 1491, 606, 236755, 236789, 236751, 22617, 653, 21212, 9831, 6436, 1343, 1041, 1873, 1262, 7021, 236761, 3153, 236764, 2721, 580, 910, 1698, 19548, 529, 623, 12697, 16314, 5434, 573, 11119, 9952, 2098, 564, 236789, 236753, 5840, 236787, 108, 236770, 236761, 5213, 131022, 35265, 34428, 53121, 138, 107, 139, 236772, 70535, 137729, 236772, 236819, 236771, 236771, 73756, 568, 236832, 236761, 236778, 765, 167576, 236768, 573, 12019, 3645, 236772, 1340, 236772, 6457, 4106, 138, 107, 139, 236772, 6890, 782, 4870, 236772, 236770, 236778, 236771, 236771, 73756, 568, 236832, 236761, 236828, 765, 167576, 236768, 573, 1063, 6310, 607, 17040, 4852, 138, 107, 139, 236772, 4140, 58243, 236772, 236828, 236810, 236771, 6630, 568, 236832, 236761, 236810, 765, 167576, 236768, 573, 29929, 236772, 4603, 3034, 20874, 138, 108, 236778, 236761, 5213, 59726, 63010, 33879, 53121, 138, 107, 139, 236772, 13948, 1491, 606, 236755, 236789, 236751, 5886, 2434, 5467, 657, 5213, 26377, 236940, 236802, 606, 236755, 236761, 854, 236761, 27698, 1018, 532, 4928, 236787, 138, 107, 141, 236772, 21632, 528, 623, 63258, 236772, 4368, 29262, 236775, 138, 107, 141, 236772, 16499, 623, 33396, 1960, 49891, 236775, 653, 623, 115314, 1458, 36498, 236775, 138, 107, 141, 236772, 29020, 1003, 623, 24417, 10534, 3835, 236775, 573, 3402, 3877, 138, 108, 236800, 236761, 5213, 15929, 8146, 5490, 24616, 53121, 138, 107, 139, 10081, 1491, 606, 236755, 236789, 236751, 4456, 4038, 236789, 236745, 25010, 1694, 22617, 236764, 1966, 236787, 138, 107, 139, 236772, 1255, 21633, 496, 93992, 7408, 568, 3041, 607, 6749, 6310, 73756, 1171, 236768, 138, 107, 139, 236772, 799, 576, 5935, 1003, 1456, 236786, 1811, 3688, 2091, 6630, 573, 2344, 236772, 39633, 20874, 138, 107, 139, 236772, 79557, 1194, 9239, 7548, 3755, 1343, 910, 5886, 7102, 138, 108, 38786, 611, 1133, 786, 531, 12262, 496, 5498, 4553, 7930, 573, 57416, 1491, 606, 236755, 236789, 236751, 5886, 2434, 607, 1239, 10512, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236764, 8324, 236761, 564, 236789, 236757, 1601, 495, 236789, 496, 3184, 517, 3192, 1076, 872, 496, 1944, 32095, 4762, 22964, 103043, 8674, 68648, 236764, 532, 692, 236789, 500, 1385, 495, 236789, 573, 47170, 11113, 10383, 236789, 5434, 236761, 564, 5630, 1491, 606, 236755, 3590, 1724, 6211, 37424, 532, 73756, 573, 10002, 9952, 236761, 28344, 4334, 1385, 872, 910, 6524, 1698, 55455, 573, 46225, 11113, 10383, 236789, 3797, 236881, 39799, 1202, 4889, 580, 3711, 6541, 532, 13376, 573, 167576, 77085, 1082, 236743, 236828, 6172, 753, 672, 1977, 563, 78823, 1082, 496, 22023, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25385, 1083, 623, 236953, 606, 236755, 25674, 1965, 23566, 827, 623, 17870, 1083, 78493, 1201, 1083, 623, 116359, 26745, 25674, 1965, 1804, 827, 623, 4368, 1083, 623, 91662, 236772, 236828, 236810, 236771, 827, 623, 2335, 236779, 48578, 1083, 623, 236828, 236810, 236771, 11944, 810, 27319, 827, 623, 63265, 1083, 623, 236798, 236819, 236771, 236771, 1123, 649, 236825, 236771, 236771, 1123, 640, 236778, 236771, 236771, 236771, 6929, 827, 623, 2224, 519, 236779, 2690, 1083, 623, 236832, 236761, 236810, 6172, 827, 623, 16518, 1083, 11058, 66649, 742, 27319, 36209, 827, 623, 45156, 1128, 236772, 60366, 9009, 827, 623, 36120, 236772, 6980, 14510, 152254, 3714, 1201, 1083, 623, 236847, 236772, 3138, 18287, 20012, 81637, 827, 623, 4368, 1083, 623, 236847, 4870, 236772, 236770, 236778, 236771, 236771, 827, 623, 2335, 236779, 48578, 1083, 623, 236770, 236778, 236771, 236771, 11944, 810, 1984, 827, 623, 63265, 1083, 623, 236798, 236770, 236778, 236771, 236771, 1123, 649, 236832, 236771, 236771, 1123, 640, 236778, 236778, 236771, 236771, 6929, 827, 623, 2224, 519, 236779, 2690, 1083, 623, 236832, 236761, 236828, 6172, 827, 623, 16518, 1083, 11058, 141200, 23461, 8103, 30962, 827, 623, 1869, 41585, 236772, 36954, 1702, 827, 623, 140680, 9831, 152254, 3714, 1201, 1083, 623, 182447, 562, 79097, 35202, 236772, 116195, 81637, 827, 623, 4368, 1083, 623, 102726, 236772, 236819, 236771, 236771, 827, 623, 2335, 236779, 48578, 1083, 623, 236819, 236771, 236771, 11944, 810, 27319, 827, 623, 63265, 1083, 623, 236798, 236770, 236771, 236771, 236771, 1123, 649, 236810, 236810, 236771, 1123, 640, 236778, 236770, 236771, 236771, 6929, 827, 623, 2224, 519, 236779, 2690, 1083, 623, 236832, 236761, 236778, 6172, 827, 623, 16518, 1083, 11058, 17642, 236772, 49708, 1702, 827, 623, 28118, 6493, 1662, 8103, 5431, 827, 623, 97880, 5646, 83522, 99471, 1604, 623, 11607, 1083, 3714, 31935, 1083, 623, 2769, 236761, 236802, 606, 236755, 236761, 854, 236761, 27698, 827, 623, 5275, 1083, 10955, 236828, 236812, 236743, 236778, 236812, 236743, 236800, 236828, 236810, 236828, 236743, 236828, 236828, 236828, 236828, 827, 623, 6774, 1083, 623, 26377, 236940, 236802, 606, 236755, 236761, 854, 236761, 27698, 23179, 623, 14210, 1083, 623, 3243, 13376, 740, 577, 34037, 573, 11119, 9952, 236761, 58731, 573, 11936, 607, 74578, 64034, 1534, 236743, 236825, 236761, 236810, 236772, 236828, 6172, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1491, 606, 236755, 236789, 236751, 10325, 123010, 5434, 573, 12019, 167576, 1208, 236743, 236828, 6172, 236787, 108, 236770, 236761, 5213, 116359, 26745, 25674, 1965, 1804, 568, 91662, 236772, 236828, 236810, 236771, 62902, 107, 139, 236772, 16959, 6541, 236787, 236743, 236828, 236810, 236771, 11944, 810, 27319, 107, 139, 236772, 51287, 236787, 236743, 236819, 236771, 236771, 236798, 1123, 236743, 236825, 236771, 236771, 236824, 1123, 236743, 236778, 236771, 236771, 236771, 236814, 6929, 107, 139, 236772, 562, 79097, 13469, 236787, 236743, 236832, 236761, 236810, 6172, 107, 139, 236772, 25772, 236787, 111660, 37424, 236764, 13950, 236772, 60366, 9009, 236764, 3823, 236772, 6980, 14510, 108, 236778, 236761, 5213, 236847, 236772, 3138, 18287, 20012, 81637, 568, 236847, 4870, 236772, 236770, 236778, 236771, 236771, 62902, 107, 139, 236772, 16959, 6541, 236787, 236743, 236770, 236778, 236771, 236771, 11944, 810, 1984, 107, 139, 236772, 51287, 236787, 236743, 236770, 236778, 236771, 236771, 236798, 1123, 236743, 236832, 236771, 236771, 236824, 1123, 236743, 236778, 236778, 236771, 236771, 236814, 6929, 107, 139, 236772, 562, 79097, 13469, 236787, 236743, 236832, 236761, 236828, 6172, 107, 139, 236772, 25772, 236787, 210636, 30962, 236764, 54226, 236772, 36954, 236764, 37284, 9831, 108, 236800, 236761, 5213, 182447, 562, 79097, 35202, 236772, 116195, 81637, 568, 102726, 236772, 236819, 236771, 236771, 62902, 107, 139, 236772, 16959, 6541, 236787, 236743, 236819, 236771, 236771, 11944, 810, 27319, 107, 139, 236772, 51287, 236787, 236743, 236770, 236771, 236771, 236771, 236798, 1123, 236743, 236810, 236810, 236771, 236824, 1123, 236743, 236778, 236770, 236771, 236771, 236814, 6929, 107, 139, 236772, 562, 79097, 13469, 236787, 236743, 236832, 236761, 236778, 6172, 568, 3374, 11236, 5086, 236768, 107, 139, 236772, 25772, 236787, 13510, 236772, 49708, 1702, 236764, 130077, 8103, 236764, 5646, 83522, 108, 3243, 4681, 740, 577, 34037, 573, 11119, 9952, 236761, 1701, 24576, 29262, 653, 531, 3249, 822, 103043, 8674, 68648, 4563, 6035, 236764, 3662, 236787, 107, 236772, 21124, 236787, 870, 2769, 236761, 236802, 606, 236755, 236761, 854, 236761, 27698, 5457, 2855, 1411, 2769, 236761, 236802, 606, 236755, 236761, 854, 236761, 27698, 236768, 107, 236772, 23386, 236787, 900, 236828, 236812, 236743, 236778, 236812, 236743, 236800, 236828, 236810, 236828, 236743, 236828, 236828, 236828, 236828, 107, 236772, 19955, 236787, 5886, 236940, 236802, 606, 236755, 236761, 854, 236761, 27698, 108, 818, 137729, 236772, 236819, 236771, 236771, 2028, 7412, 7436, 573, 822, 12019, 598, 9952, 236764, 1651, 506, 782, 4870, 236772, 236770, 236778, 236771, 236771, 5469, 7310, 3711, 6541, 573, 7274, 18241, 236761, 21284, 611, 1133, 1601, 22020, 3530, 4681, 653, 4065, 236881, 106, 107, 105, 2364, 107, 46003, 45477, 573, 6267, 495, 236789, 855, 1724, 3835, 236764, 4389, 236761, 3792, 786, 1845, 235293, 495, 236789, 684, 4334, 753, 672, 3184, 22622, 236789, 236751, 2506, 496, 11119, 7715, 840, 3548, 13451, 11113, 10383, 236789, 600, 2810, 236789, 236745, 32963, 580, 6332, 236761, 669, 137729, 236772, 236819, 236771, 236771, 236789, 236751, 11236, 2425, 5072, 4011, 573, 506, 3645, 6651, 2433, 236764, 840, 564, 236789, 236757, 22566, 1003, 506, 236743, 236819, 236771, 236771, 7022, 6541, 573, 17040, 4852, 236761, 28344, 4334, 10769, 1217, 506, 137729, 236772, 236819, 236771, 236771, 532, 782, 4870, 236772, 236770, 236778, 236771, 236771, 6060, 9351, 61573, 29262, 236881, 6542, 236764, 776, 1027, 529, 1239, 4681, 2229, 607, 29929, 3558, 7846, 531, 29893, 3034, 19142, 236881, 669, 9989, 8150, 531, 24036, 28594, 35759, 2180, 3717, 495, 236789, 861, 73756, 1418, 990, 236761, 106, 107, 105, 4368, 107, 4663, 506, 1698, 23003, 3847, 236787, 108, 1018, 37202, 842, 19655, 36520, 53121, 107, 236772, 5213, 102726, 236772, 236819, 236771, 236771, 568, 182447, 562, 79097, 9483, 1473, 1018, 25772, 13148, 5646, 83522, 573, 11646, 840, 951, 14481, 4928, 529, 9351, 61573, 20478, 236761, 9567, 236743, 236819, 236771, 236771, 7022, 6541, 563, 810, 27319, 1984, 236764, 3043, 625, 2480, 28983, 573, 3161, 236772, 43289, 6182, 528, 11119, 9952, 236761, 107, 236772, 5213, 236847, 4870, 236772, 236770, 236778, 236771, 236771, 568, 236847, 236772, 3138, 18287, 20012, 81637, 1473, 1018, 210636, 8103, 30962, 532, 37284, 9831, 2174, 9351, 61573, 529, 5065, 6630, 236761, 669, 236743, 236770, 236778, 236771, 236771, 7022, 6541, 810, 1984, 12765, 40444, 18241, 1056, 61573, 236764, 7436, 573, 17040, 6310, 236761, 108, 1018, 66649, 742, 46595, 24961, 53121, 107, 236772, 669, 5213, 91662, 236772, 236828, 236810, 236771, 57725, 25674, 1965, 1804, 1018, 568, 31125, 6517, 236768, 25010, 5132, 623, 66649, 742, 27319, 36209, 236775, 618, 496, 4926, 236764, 3043, 625, 7436, 573, 28594, 3034, 3731, 236761, 669, 137729, 236772, 236819, 236771, 236771, 532, 782, 4870, 236772, 236770, 236778, 236771, 236771, 776, 711, 1694, 29929, 36209, 528, 910, 4065, 236764, 22169, 6530, 27319, 32191, 236761, 108, 1018, 71653, 236772, 83899, 111506, 53121, 107, 236770, 236761, 5213, 31745, 35693, 14133, 53121, 6890, 137729, 236772, 236819, 236771, 236771, 573, 1061, 236743, 236832, 236761, 236778, 765, 74578, 13469, 236764, 840, 6727, 625, 607, 58243, 236772, 236828, 236810, 236771, 6630, 573, 3034, 20874, 38702, 29929, 36209, 236761, 669, 58243, 236772, 236828, 236810, 236771, 236858, 236751, 3823, 236772, 6980, 14510, 992, 79969, 188369, 236761, 107, 236778, 236761, 5213, 127080, 25795, 53121, 22282, 77372, 782, 4870, 236772, 236770, 236778, 236771, 236771, 73756, 528, 17865, 1063, 4106, 568, 236832, 236761, 236828, 765, 74578, 13469, 236768, 1298, 9351, 61573, 740, 29893, 6310, 7620, 532, 6060, 40444, 20579, 236761, 107, 236800, 236761, 5213, 23077, 236772, 76652, 42272, 53121, 1491, 606, 236755, 236858, 236751, 37284, 11803, 2174, 18531, 4681, 236761, 6890, 137729, 236772, 236819, 236771, 236771, 528, 12019, 20874, 532, 782, 4870, 236786, 91662, 1298, 19142, 532, 6541, 4217, 1346, 236764, 41346, 7715, 532, 18544, 236761, 108, 38786, 611, 1133, 786, 531, 59638, 672, 3342, 653, 2426, 768, 1491, 606, 236755, 5469, 22617, 3835, 573, 48951, 236881, 106, 107, 105, 2364, 107, 12879, 573, 2541, 495, 236789, 600, 1679, 834, 3582, 236761, 669, 3184, 880, 236789, 236751, 8426, 25224, 495, 236789, 8797, 600, 782, 4870, 236772, 236770, 236778, 236771, 236771, 573, 506, 1063, 6310, 753, 668, 236789, 859, 1202, 531, 10166, 1724, 17040, 4852, 1494, 236761, 2024, 2768, 580, 753, 1451, 4334, 2426, 768, 1491, 606, 236755, 5469, 1027, 22617, 17489, 653, 32013, 49891, 573, 1944, 8634, 236881, 564, 16355, 1091, 4928, 495, 236789, 235293, 495, 236789, 1003, 756, 18146, 29262, 236789, 528, 910, 1698, 29141, 236761, 65028, 577, 5367, 35291, 495, 236789, 768, 901, 236789, 560, 2506, 15663, 573, 48951, 1385, 495, 236789, 531, 6921, 1607, 4681, 1133, 506, 137729, 236772, 236819, 236771, 236771, 532, 58243, 236772, 236828, 236810, 236771, 611, 6950, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 1491, 606, 236755, 236789, 236751, 22617, 653, 21212, 9831, 6436, 1343, 1041, 1873, 1262, 7021, 236761, 3153, 236764, 2721, 580, 910, 1698, 19548, 529, 623, 12697, 16314, 5434, 573, 11119, 9952, 2098, 564, 236789, 236753, 5840, 236787, 108, 236770, 236761, 5213, 131022, 35265, 34428, 53121, 138, 107, 139, 236772, 70535, 137729, 236772, 236819, 236771, 236771, 73756, 568, 236832, 236761, 236778, 765, 167576, 236768, 573, 12019, 3645, 236772, 1340, 236772, 6457, 4106, 138, 107, 139, 236772, 6890, 782, 4870, 236772, 236770, 236778, 236771, 236771, 73756, 568, 236832, 236761, 236828, 765, 167576, 236768, 573, 1063, 6310, 607, 17040, 4852, 138, 107, 139, 236772, 4140, 58243, 236772, 236828, 236810, 236771, 6630, 568, 236832, 236761, 236810, 765, 167576, 236768, 573, 29929, 236772, 4603, 3034, 20874, 138, 108, 236778, 236761, 5213, 59726, 63010, 33879, 53121, 138, 107, 139, 236772, 13948, 1491, 606, 236755, 236789, 236751, 5886, 2434, 5467, 657, 5213, 26377, 236940, 236802, 606, 236755, 236761, 854, 236761, 27698, 1018, 532, 4928, 236787, 138, 107, 141, 236772, 21632, 528, 623, 63258, 236772, 4368, 29262, 236775, 138, 107, 141, 236772, 16499, 623, 33396, 1960, 49891, 236775, 653, 623, 115314, 1458, 36498, 236775, 138, 107, 141, 236772, 29020, 1003, 623, 24417, 10534, 3835, 236775, 573, 3402, 3877, 138, 108, 236800, 236761, 5213, 15929, 8146, 5490, 24616, 53121, 138, 107, 139, 10081, 1491, 606, 236755, 236789, 236751, 4456, 4038, 236789, 236745, 25010, 1694, 22617, 236764, 1966, 236787, 138, 107, 139, 236772, 1255, 21633, 496, 93992, 7408, 568, 3041, 607, 6749, 6310, 73756, 1171, 236768, 138, 107, 139, 236772, 799, 576, 5935, 1003, 1456, 236786, 1811, 3688, 2091, 6630, 573, 2344, 236772, 39633, 20874, 138, 107, 139, 236772, 79557, 1194, 9239, 7548, 3755, 1343, 910, 5886, 7102, 138, 108, 38786, 611, 1133, 786, 531, 12262, 496, 5498, 4553, 7930, 573, 57416, 1491, 606, 236755, 236789, 236751, 5886, 2434, 607, 1239, 10512, 236881, 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, 560, 1010, 2844, 580, 672, 4317, 573, 496, 3399, 1610, 2557, 528, 4811, 15235, 236764, 532, 564, 1202, 1070, 18014, 236761, 28344, 611, 1601, 786, 855, 236881, 564, 236789, 236757, 4875, 531, 9385, 12657, 699, 4273, 1132, 978, 708, 236789, 60999, 1003, 14105, 9834, 2338, 1116, 981, 2126, 26266, 531, 506, 2263, 6540, 1590, 236761, 2640, 506, 1638, 990, 236764, 564, 1374, 4516, 974, 1070, 60991, 12657, 1003, 35691, 532, 24597, 573, 506, 1960, 2731, 1271, 570, 236789, 32042, 236764, 531, 2514, 506, 2434, 47755, 1056, 2432, 974, 35016, 236761, 3792, 786, 1281, 768, 600, 236789, 236751, 167119, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52231, 1083, 78493, 6386, 1083, 623, 6720, 1132, 978, 708, 236789, 60999, 827, 623, 1005, 1083, 623, 818, 9043, 1677, 711, 2352, 3894, 531, 1023, 5596, 531, 21234, 625, 44942, 221476, 3714, 6386, 1083, 623, 6720, 1132, 978, 708, 236789, 60999, 827, 623, 1005, 1083, 623, 3048, 2863, 1281, 506, 9043, 236764, 532, 506, 9043, 795, 1386, 611, 11049, 221476, 3714, 6386, 1083, 623, 6720, 1132, 978, 708, 236789, 60999, 827, 623, 1005, 1083, 623, 236777, 4903, 506, 1595, 564, 776, 1547, 568, 2217, 3635, 236768, 564, 1006, 496, 17217, 236761, 564, 2597, 600, 768, 564, 964, 711, 496, 17217, 236764, 564, 1093, 735, 951, 3282, 531, 4903, 16263, 1781, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 1988, 99282, 563, 506, 1689, 3210, 236761, 1030, 236789, 236751, 506, 31886, 529, 506, 4257, 236764, 532, 625, 236789, 236751, 1144, 795, 6081, 822, 3399, 1610, 2557, 1343, 1418, 8319, 236761, 21429, 236764, 1847, 24597, 142781, 528, 506, 9295, 529, 94653, 10498, 623, 10618, 1083, 623, 619, 99282, 827, 623, 6386, 1083, 623, 6720, 1132, 978, 708, 236789, 60999, 568, 123176, 573, 92353, 36787, 16291, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 22908, 1952, 563, 506, 2307, 531, 113084, 861, 19977, 10498, 623, 6386, 1083, 623, 193818, 25390, 521, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 12657, 564, 1765, 531, 1894, 822, 3399, 1610, 2557, 2203, 236787, 108, 1018, 6720, 1132, 978, 708, 236789, 60999, 52083, 568, 60891, 46320, 30235, 1473, 1018, 138, 107, 236770, 236761, 165996, 818, 9043, 1677, 711, 2352, 3894, 531, 1023, 5596, 531, 21234, 625, 44942, 1781, 236829, 138, 107, 236778, 236761, 165996, 3048, 2863, 1281, 506, 9043, 236764, 532, 506, 9043, 795, 1386, 611, 11049, 1781, 236829, 138, 107, 236800, 236761, 165996, 236777, 4903, 506, 1595, 564, 776, 1547, 568, 2217, 3635, 236768, 564, 1006, 496, 17217, 236761, 564, 2597, 600, 768, 564, 964, 711, 496, 17217, 236764, 564, 1093, 735, 951, 3282, 531, 4903, 16263, 1781, 236829, 138, 108, 8409, 1239, 12657, 7495, 708, 236789, 60999, 236789, 236751, 52491, 8744, 236764, 1116, 1982, 40138, 580, 14105, 9834, 1149, 1660, 19276, 92353, 3671, 529, 1116, 981, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 236881, 138, 108, 1018, 216614, 52083, 573, 129948, 833, 138221, 53121, 138, 107, 236772, 5213, 1988, 99282, 53121, 165996, 1988, 99282, 563, 506, 1689, 3210, 236761, 1030, 236789, 236751, 506, 31886, 529, 506, 4257, 236764, 532, 625, 236789, 236751, 1144, 795, 6081, 822, 3399, 1610, 2557, 1343, 1418, 8319, 236761, 21429, 236764, 1847, 24597, 142781, 528, 506, 9295, 529, 94653, 1781, 236829, 568, 178329, 573, 92353, 36787, 236768, 138, 107, 236772, 5213, 22908, 1952, 53121, 165996, 22908, 1952, 563, 506, 2307, 531, 113084, 861, 19977, 1781, 236829, 1271, 53284, 25390, 521, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 4767, 12657, 653, 1601, 37803, 1239, 1131, 822, 1960, 2731, 236888, 236743, 245838, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 560, 1010, 2844, 580, 672, 4317, 573, 496, 3399, 1610, 2557, 528, 4811, 15235, 236764, 532, 564, 1202, 1070, 18014, 236761, 28344, 611, 1601, 786, 855, 236881, 564, 236789, 236757, 4875, 531, 9385, 12657, 699, 4273, 1132, 978, 708, 236789, 60999, 1003, 14105, 9834, 2338, 1116, 981, 2126, 26266, 531, 506, 2263, 6540, 1590, 236761, 2640, 506, 1638, 990, 236764, 564, 1374, 4516, 974, 1070, 60991, 12657, 1003, 35691, 532, 24597, 573, 506, 1960, 2731, 1271, 570, 236789, 32042, 236764, 531, 2514, 506, 2434, 47755, 1056, 2432, 974, 35016, 236761, 3792, 786, 1281, 768, 600, 236789, 236751, 167119, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52231, 1083, 78493, 6386, 1083, 623, 6720, 1132, 978, 708, 236789, 60999, 827, 623, 1005, 1083, 623, 818, 9043, 1677, 711, 2352, 3894, 531, 1023, 5596, 531, 21234, 625, 44942, 221476, 3714, 6386, 1083, 623, 6720, 1132, 978, 708, 236789, 60999, 827, 623, 1005, 1083, 623, 3048, 2863, 1281, 506, 9043, 236764, 532, 506, 9043, 795, 1386, 611, 11049, 221476, 3714, 6386, 1083, 623, 6720, 1132, 978, 708, 236789, 60999, 827, 623, 1005, 1083, 623, 236777, 4903, 506, 1595, 564, 776, 1547, 568, 2217, 3635, 236768, 564, 1006, 496, 17217, 236761, 564, 2597, 600, 768, 564, 964, 711, 496, 17217, 236764, 564, 1093, 735, 951, 3282, 531, 4903, 16263, 1781, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 1988, 99282, 563, 506, 1689, 3210, 236761, 1030, 236789, 236751, 506, 31886, 529, 506, 4257, 236764, 532, 625, 236789, 236751, 1144, 795, 6081, 822, 3399, 1610, 2557, 1343, 1418, 8319, 236761, 21429, 236764, 1847, 24597, 142781, 528, 506, 9295, 529, 94653, 10498, 623, 10618, 1083, 623, 619, 99282, 827, 623, 6386, 1083, 623, 6720, 1132, 978, 708, 236789, 60999, 568, 123176, 573, 92353, 36787, 16291, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 22908, 1952, 563, 506, 2307, 531, 113084, 861, 19977, 10498, 623, 6386, 1083, 623, 193818, 25390, 521, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 12657, 564, 1765, 531, 1894, 822, 3399, 1610, 2557, 2203, 236787, 108, 1018, 6720, 1132, 978, 708, 236789, 60999, 52083, 568, 60891, 46320, 30235, 1473, 1018, 138, 107, 236770, 236761, 165996, 818, 9043, 1677, 711, 2352, 3894, 531, 1023, 5596, 531, 21234, 625, 44942, 1781, 236829, 138, 107, 236778, 236761, 165996, 3048, 2863, 1281, 506, 9043, 236764, 532, 506, 9043, 795, 1386, 611, 11049, 1781, 236829, 138, 107, 236800, 236761, 165996, 236777, 4903, 506, 1595, 564, 776, 1547, 568, 2217, 3635, 236768, 564, 1006, 496, 17217, 236761, 564, 2597, 600, 768, 564, 964, 711, 496, 17217, 236764, 564, 1093, 735, 951, 3282, 531, 4903, 16263, 1781, 236829, 138, 108, 8409, 1239, 12657, 7495, 708, 236789, 60999, 236789, 236751, 52491, 8744, 236764, 1116, 1982, 40138, 580, 14105, 9834, 1149, 1660, 19276, 92353, 3671, 529, 1116, 981, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 236881, 138, 108, 1018, 216614, 52083, 573, 129948, 833, 138221, 53121, 138, 107, 236772, 5213, 1988, 99282, 53121, 165996, 1988, 99282, 563, 506, 1689, 3210, 236761, 1030, 236789, 236751, 506, 31886, 529, 506, 4257, 236764, 532, 625, 236789, 236751, 1144, 795, 6081, 822, 3399, 1610, 2557, 1343, 1418, 8319, 236761, 21429, 236764, 1847, 24597, 142781, 528, 506, 9295, 529, 94653, 1781, 236829, 568, 178329, 573, 92353, 36787, 236768, 138, 107, 236772, 5213, 22908, 1952, 53121, 165996, 22908, 1952, 563, 506, 2307, 531, 113084, 861, 19977, 1781, 236829, 1271, 53284, 25390, 521, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 4767, 12657, 653, 1601, 37803, 1239, 1131, 822, 1960, 2731, 236888, 236743, 245838, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 4461, 614, 4553, 699, 496, 3435, 861, 4430, 657, 623, 236804, 1810, 523, 4755, 236940, 30642, 45882, 236761, 41626, 236775, 600, 5072, 23284, 236764, 840, 564, 1461, 531, 16807, 1061, 71972, 1680, 11211, 1027, 4867, 9413, 236761, 28344, 611, 1171, 2426, 768, 672, 4553, 3421, 563, 4341, 532, 5143, 607, 496, 51415, 653, 41492, 8610, 236881, 564, 236789, 560, 1010, 30494, 1680, 684, 20190, 26104, 161887, 1759, 14601, 236764, 834, 564, 236789, 236753, 14756, 13868, 28250, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 236779, 5939, 1083, 1847, 236764, 623, 19645, 236779, 14751, 1083, 1847, 236764, 623, 2763, 49090, 236779, 6774, 1083, 2416, 236764, 623, 163580, 8795, 236779, 19645, 1083, 2416, 236764, 623, 58578, 236779, 8318, 1083, 236743, 236819, 236810, 236764, 623, 107996, 236779, 13308, 1083, 3714, 6774, 236779, 107974, 236779, 4256, 1083, 623, 146759, 827, 623, 19645, 236779, 62094, 236779, 4256, 1083, 623, 114895, 827, 623, 222013, 236779, 4818, 1083, 623, 39446, 827, 623, 19645, 236779, 676, 1083, 623, 236778, 1518, 12314, 127096, 106, 107, 105, 4368, 107, 818, 4553, 3421, 5213, 236804, 1810, 523, 4755, 236940, 30642, 45882, 236761, 41626, 1018, 815, 1010, 44526, 607, 506, 2269, 2536, 236787, 138, 108, 236772, 113452, 5213, 13280, 6518, 1018, 532, 8610, 7519, 236761, 138, 107, 236772, 236743, 242523, 3790, 496, 51415, 4553, 3421, 236761, 138, 107, 236772, 236743, 249642, 49822, 563, 5213, 2217, 85859, 618, 41492, 1018, 568, 58578, 6317, 236787, 236743, 236819, 236810, 236786, 236770, 236771, 236771, 769, 138, 107, 236772, 5213, 31212, 3911, 66515, 70987, 573, 236743, 236778, 1518, 568, 15866, 1426, 23000, 529, 1646, 496, 15404, 51904, 8610, 769, 138, 107, 236772, 5213, 6907, 2234, 4981, 66515, 20840, 568, 1904, 44904, 4588, 4785, 769, 138, 108, 2094, 7412, 531, 577, 496, 30781, 4553, 3421, 236761, 1637, 611, 236789, 236753, 1133, 4767, 28250, 236764, 564, 740, 236787, 138, 107, 236770, 236761, 7179, 506, 8610, 236789, 236751, 37677, 2249, 15020, 4889, 568, 236744, 236761, 236759, 1126, 70325, 236764, 15020, 3433, 236764, 3662, 8283, 769, 138, 107, 236778, 236761, 12808, 573, 5569, 12314, 26104, 3361, 531, 623, 30642, 45882, 236761, 41626, 236775, 531, 6157, 855, 161119, 147776, 1493, 236761, 138, 108, 38786, 611, 1133, 531, 7162, 607, 3477, 529, 1239, 6555, 236881, 106, 107, 105, 2364, 107, 236777, 14756, 506, 13868, 1788, 236761, 3792, 236789, 236751, 7162, 607, 506, 5213, 62770, 2249, 15020, 4889, 1018, 573, 808, 30642, 45882, 236761, 41626, 236829, 1171, 236761, 564, 1461, 531, 9128, 506, 3662, 1938, 532, 5330, 506, 8610, 5889, 236789, 236745, 12314, 1208, 496, 11411, 2544, 653, 46020, 13186, 236761, 9920, 692, 16807, 600, 236764, 1451, 611, 992, 2426, 573, 5213, 1951, 586, 12314, 26104, 1018, 3361, 531, 623, 30642, 45882, 236761, 41626, 236775, 568, 236744, 236761, 236759, 1126, 3930, 90330, 1013, 1133, 623, 30642, 23114, 21447, 236761, 41626, 236775, 653, 623, 30642, 43850, 236761, 41626, 1373, 531, 6157, 855, 161119, 147776, 1493, 16972, 236881, 564, 236858, 560, 3472, 26694, 62611, 30781, 14601, 607, 6495, 8610, 119646, 236764, 532, 564, 236858, 236753, 4319, 577, 50799, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 236779, 1201, 1083, 623, 198399, 236550, 4989, 236761, 31832, 47615, 827, 623, 204441, 1083, 623, 1567, 87708, 236764, 5295, 10498, 623, 33382, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 111977, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 25903, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236771, 236810, 236787, 236800, 236778, 236953, 827, 623, 1201, 236779, 27933, 1083, 11058, 6510, 236772, 236770, 236778, 236828, 236832, 236761, 72373, 236761, 17081, 827, 623, 6510, 236772, 236812, 236778, 236770, 236810, 236761, 72373, 236761, 18851, 14255, 623, 4818, 1083, 623, 5586, 13530, 1489, 199278, 4560, 1411, 525, 1132, 236761, 2187, 236786, 236744, 612, 236865, 5586, 13530, 1489, 199278, 827, 623, 113907, 1083, 623, 218539, 56331, 15227, 236940, 1201, 87708, 236761, 854, 827, 623, 30393, 13746, 236779, 31108, 1083, 623, 32660, 83380, 16930, 22230, 24694, 827, 623, 30393, 13746, 236779, 3255, 1083, 623, 4070, 827, 623, 30393, 13746, 236779, 14801, 1083, 623, 3118, 827, 623, 30393, 13746, 236779, 6774, 1083, 623, 8473, 236940, 30642, 45882, 236761, 41626, 827, 623, 8473, 236779, 6774, 1083, 623, 8473, 236940, 30642, 45882, 236761, 41626, 827, 623, 17470, 236779, 6774, 1083, 623, 17470, 236940, 30642, 45882, 236761, 41626, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236771, 236810, 236787, 236800, 236778, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 133624, 1083, 11058, 30642, 23114, 21447, 236761, 41626, 827, 623, 30642, 43850, 236761, 41626, 827, 623, 30642, 45882, 236778, 236771, 236778, 236812, 236761, 41626, 827, 623, 30642, 45882, 4043, 236761, 41626, 827, 623, 30642, 23114, 236761, 41626, 14255, 623, 53298, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 12103, 236779, 721, 236779, 4000, 1083, 236743, 236810, 1263, 623, 28881, 236779, 103411, 1083, 3714, 41427, 1083, 623, 30642, 45882, 827, 623, 28945, 1083, 623, 30642, 45882, 236761, 41626, 23179, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 10354, 5213, 62770, 2249, 36997, 20303, 573, 808, 30642, 45882, 236761, 41626, 13513, 138, 107, 236772, 5213, 67696, 13746, 66515, 10703, 83380, 16930, 22230, 24694, 568, 12846, 22426, 236764, 2590, 236768, 138, 107, 236772, 5213, 67696, 8380, 66515, 7343, 87708, 236764, 5295, 236761, 138, 107, 236772, 5213, 44383, 6809, 66515, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236778, 138, 107, 236772, 5213, 157456, 6809, 66515, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 1567, 133740, 66515, 2165, 6510, 236772, 236770, 236778, 236828, 236832, 236761, 72373, 236761, 17081, 8347, 2165, 6510, 236772, 236812, 236778, 236770, 236810, 236761, 72373, 236761, 18851, 236929, 138, 107, 236772, 5213, 11431, 210122, 66515, 138, 107, 138, 236772, 30715, 236787, 2165, 8473, 236940, 30642, 45882, 236761, 41626, 236929, 138, 107, 138, 236772, 18671, 236787, 2165, 17470, 236940, 30642, 45882, 236761, 41626, 236929, 138, 107, 236772, 5213, 31212, 18365, 66515, 57843, 586, 12314, 568, 5586, 13530, 1489, 199278, 8134, 236768, 138, 107, 236772, 5213, 9008, 42841, 66515, 7250, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 138, 108, 1018, 88400, 66515, 138, 107, 818, 8610, 563, 12314, 531, 496, 30781, 6369, 13186, 568, 2182, 236780, 236768, 528, 46963, 236764, 496, 3364, 19595, 573, 8634, 236761, 669, 3662, 24157, 4241, 506, 8610, 236764, 532, 506, 70325, 568, 1567, 87708, 236768, 563, 66756, 236761, 2301, 2604, 22680, 1590, 236761, 138, 108, 7243, 108, 10354, 5213, 219967, 70987, 189236, 28257, 531, 623, 30642, 45882, 236761, 41626, 236775, 1018, 138, 107, 818, 2269, 26104, 964, 1765, 607, 623, 30642, 45882, 236775, 528, 910, 5618, 568, 86426, 506, 3303, 1473, 138, 107, 236770, 236761, 2165, 30642, 23114, 21447, 236761, 41626, 236929, 138, 107, 236778, 236761, 2165, 30642, 43850, 236761, 41626, 236929, 138, 107, 236800, 236761, 2165, 30642, 45882, 236778, 236771, 236778, 236812, 236761, 41626, 236929, 138, 107, 236812, 236761, 2165, 30642, 45882, 4043, 236761, 41626, 236929, 138, 107, 236810, 236761, 2165, 30642, 23114, 236761, 41626, 236929, 138, 108, 1018, 88400, 66515, 138, 107, 9208, 26104, 1451, 577, 161119, 147776, 1493, 16972, 653, 43365, 4588, 236761, 5450, 659, 4453, 12853, 236764, 840, 910, 25411, 1451, 71635, 5089, 236761, 669, 1689, 13682, 236787, 138, 107, 236772, 5213, 48570, 1163, 147776, 1493, 66515, 27480, 2473, 8442, 996, 623, 30642, 45882, 236761, 41626, 236775, 532, 2601, 580, 496, 44904, 3432, 236761, 138, 107, 236772, 5213, 38335, 34937, 1285, 66515, 25966, 7428, 1451, 1161, 3361, 26104, 573, 7009, 236761, 138, 108, 7243, 108, 10354, 5213, 201430, 1018, 138, 107, 236770, 236761, 5213, 142480, 607, 168904, 66515, 669, 3303, 8610, 20442, 30642, 45882, 236761, 41626, 18833, 7412, 30781, 236761, 19148, 9413, 53036, 568, 236744, 236761, 236759, 1126, 4323, 48970, 14175, 769, 138, 107, 236778, 236761, 5213, 52804, 28257, 189236, 66515, 14066, 62317, 15936, 568, 236744, 236761, 236759, 1126, 2165, 30642, 23114, 21447, 236761, 41626, 18833, 531, 5001, 77962, 236761, 138, 107, 236800, 236761, 5213, 81933, 13948, 181141, 66515, 1637, 1494, 236772, 119035, 13859, 563, 13015, 236764, 9128, 506, 4430, 236858, 236751, 71972, 4323, 496, 5154, 2246, 531, 506, 9456, 11551, 4553, 236761, 138, 108, 38786, 611, 1133, 786, 531, 1076, 872, 11734, 573, 861, 26104, 3361, 531, 623, 30642, 45882, 236761, 41626, 236775, 653, 18840, 506, 198873, 236858, 236751, 4083, 573, 3342, 2779, 63454, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 3671, 236761, 17770, 506, 3435, 13682, 236764, 564, 236858, 236753, 1133, 611, 531, 5213, 1025, 872, 11734, 573, 15152, 12314, 26104, 3361, 531, 623, 30642, 45882, 236761, 41626, 236775, 1018, 531, 4196, 104524, 1003, 1027, 3402, 161119, 147776, 1493, 16972, 236761, 1174, 100146, 607, 1041, 2779, 63454, 1657, 573, 4430, 89410, 236761, 18741, 236764, 1451, 611, 5213, 187671, 506, 198873, 236858, 236751, 4083, 1018, 568, 32660, 83380, 16930, 22230, 24694, 236768, 573, 4487, 8610, 110148, 653, 42469, 236881, 564, 1461, 531, 5330, 901, 10366, 236858, 236745, 1010, 5418, 528, 1027, 8610, 236772, 10619, 112873, 653, 45442, 1960, 64233, 236761, 64747, 236764, 1651, 506, 37677, 2249, 3662, 24157, 4241, 506, 8610, 236764, 1093, 611, 5840, 4071, 236772, 595, 6323, 506, 5154, 1548, 9456, 528, 506, 37677, 2249, 568, 584, 1027, 236768, 4323, 496, 1237, 12229, 236881, 564, 236858, 236753, 1133, 531, 9128, 506, 198873, 236858, 236751, 5663, 6219, 532, 17934, 71972, 236761, 3792, 236858, 236751, 25044, 1239, 6555, 531, 5330, 146733, 28250, 1680, 26891, 3342, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 133624, 1083, 11058, 30642, 45882, 61054, 236761, 854, 827, 623, 30642, 45882, 4043, 236761, 2108, 827, 623, 30642, 45882, 553, 3203, 913, 236761, 2187, 827, 623, 30642, 45882, 41626, 236761, 2108, 827, 623, 30642, 45882, 101826, 236761, 854, 14255, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236810, 236764, 623, 189690, 236779, 19645, 1083, 623, 30642, 45882, 236761, 41626, 827, 623, 41427, 236779, 7212, 1083, 623, 30642, 45882, 827, 623, 114613, 236779, 4818, 1083, 623, 120104, 573, 3361, 26104, 815, 1010, 27702, 236761, 165731, 795, 577, 3265, 573, 861, 110148, 16590, 506, 756, 30642, 45882, 236789, 30136, 3759, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 19645, 236779, 1201, 1083, 623, 198399, 236550, 4989, 236761, 31832, 47615, 827, 623, 204441, 1083, 623, 1567, 87708, 236764, 5295, 10498, 623, 33382, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236828, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 827, 623, 111977, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 827, 623, 25903, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236771, 236770, 236774, 236771, 236819, 236787, 236770, 236771, 236787, 236770, 236770, 236953, 827, 623, 1201, 236779, 27933, 1083, 11058, 6510, 236772, 236770, 236778, 236828, 236832, 236761, 198399, 236550, 4989, 236761, 31832, 47615, 827, 623, 6510, 236772, 236812, 236810, 236825, 236761, 198399, 236550, 4989, 236761, 31832, 47615, 14255, 623, 4818, 1083, 623, 5586, 13530, 1489, 199278, 4560, 1411, 525, 1132, 236761, 2187, 236786, 236744, 612, 236865, 5586, 13530, 1489, 199278, 827, 623, 113907, 1083, 623, 218539, 56331, 15227, 236940, 1201, 87708, 236761, 854, 827, 623, 30393, 13746, 236779, 31108, 1083, 623, 32660, 83380, 16930, 22230, 24694, 827, 623, 30393, 13746, 236779, 3255, 1083, 623, 4070, 827, 623, 30393, 13746, 236779, 14801, 1083, 623, 3118, 827, 623, 30393, 13746, 236779, 5275, 1083, 10955, 236770, 236761, 236800, 236771, 236778, 236810, 236810, 236810, 236771, 236770, 236778, 236800, 827, 623, 30393, 13746, 236779, 6774, 1083, 623, 8473, 236940, 30642, 45882, 236761, 41626, 827, 623, 8473, 236779, 6774, 1083, 623, 8473, 236940, 30642, 45882, 236761, 41626, 827, 623, 79205, 236779, 6774, 1083, 623, 17470, 236940, 30642, 45882, 236761, 41626, 25938, 106, 107, 105, 4368, 107, 10354, 5213, 120104, 573, 28257, 189236, 1018, 138, 107, 120104, 573, 26104, 16590, 506, 3759, 623, 30642, 45882, 236775, 815, 1010, 27702, 236761, 1599, 795, 5908, 51679, 573, 861, 110148, 1133, 2165, 30642, 45882, 61054, 236761, 854, 236929, 653, 2165, 30642, 23114, 21447, 236761, 41626, 21233, 1174, 7351, 6440, 161119, 147776, 1493, 653, 5500, 62611, 824, 16972, 528, 1759, 990, 236761, 138, 108, 7243, 108, 10354, 5213, 67696, 13746, 10358, 13768, 1018, 138, 107, 818, 37677, 2249, 1262, 573, 808, 30642, 45882, 236761, 41626, 236829, 21577, 506, 198873, 236787, 138, 107, 236772, 5213, 32660, 83380, 16930, 22230, 24694, 1018, 568, 12846, 22426, 236764, 2590, 236768, 138, 107, 236772, 5213, 9704, 66515, 900, 236770, 236761, 236800, 236771, 236778, 236761, 236810, 236810, 236810, 236761, 236771, 236770, 236778, 236800, 568, 12846, 22426, 2433, 3393, 236768, 138, 107, 236772, 5213, 13517, 189236, 66515, 138, 107, 138, 236772, 2165, 30642, 45882, 61054, 236761, 854, 236929, 138, 107, 138, 236772, 2165, 30642, 45882, 4043, 236761, 2108, 236929, 138, 107, 138, 236772, 2165, 30642, 45882, 553, 3203, 913, 236761, 2187, 236929, 138, 107, 138, 236772, 2165, 30642, 45882, 41626, 236761, 2108, 236929, 138, 107, 138, 236772, 2165, 30642, 45882, 101826, 236761, 854, 236929, 138, 108, 1018, 88400, 66515, 138, 107, 236772, 669, 13186, 815, 12314, 5065, 26104, 1208, 506, 623, 32660, 83380, 236775, 5500, 236764, 22169, 496, 81272, 1960, 7545, 236761, 138, 107, 236772, 2301, 4914, 529, 44911, 26104, 653, 4487, 42469, 528, 506, 37677, 2249, 1262, 236761, 138, 107, 236772, 46963, 24694, 236751, 659, 3364, 573, 14431, 6733, 532, 15603, 236764, 837, 563, 4077, 5428, 573, 30781, 14601, 236761, 138, 108, 1018, 211199, 66515, 138, 107, 3771, 2604, 22680, 13207, 236761, 1701, 19276, 2779, 63454, 236764, 611, 1451, 236787, 138, 107, 236770, 236761, 12808, 46963, 236858, 236751, 1237, 1960, 39698, 531, 9128, 506, 24694, 236858, 236751, 5158, 4981, 236761, 138, 107, 236778, 236761, 7179, 506, 27026, 7449, 18445, 568, 126310, 236768, 653, 4668, 48531, 573, 24764, 653, 35610, 236761, 138, 108, 7243, 108, 10354, 5213, 9704, 9661, 90329, 1018, 138, 107, 818, 198873, 236858, 236751, 5154, 1548, 167043, 236862, 236770, 236761, 236800, 236771, 236778, 236761, 236810, 236810, 236810, 236761, 236771, 236770, 236778, 236800, 119542, 7412, 531, 1500, 46963, 236858, 236751, 2433, 3393, 236761, 3153, 236787, 138, 107, 236772, 5213, 236810, 236810, 236810, 4945, 1018, 568, 5282, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236778, 236800, 236768, 659, 3187, 17709, 4945, 528, 37677, 2249, 1262, 531, 5571, 44571, 236761, 138, 107, 236772, 7423, 12229, 17507, 568, 236744, 236761, 236759, 1126, 7286, 11134, 236768, 1093, 577, 4354, 531, 9128, 28100, 236761, 138, 108, 1018, 211199, 66515, 138, 107, 236772, 6890, 496, 14416, 5154, 38485, 5904, 568, 71681, 672, 1458, 236858, 236751, 15858, 236768, 531, 16807, 768, 506, 1548, 563, 5158, 532, 12809, 531, 506, 198873, 236761, 138, 107, 236772, 1637, 6749, 236764, 3662, 506, 198873, 4323, 506, 9456, 4553, 20442, 8473, 236940, 30642, 45882, 236761, 41626, 18833, 531, 2864, 496, 12210, 580, 496, 27662, 1757, 236761, 138, 108, 7243, 108, 10354, 5213, 17667, 75042, 1018, 138, 107, 818, 198873, 7412, 30781, 236764, 607, 496, 9958, 5500, 6219, 532, 951, 41492, 4588, 13207, 236761, 45325, 563, 528, 1977, 531, 8134, 3402, 13682, 236761, 1637, 26891, 607, 1494, 236772, 2394, 13859, 236787, 138, 107, 236770, 236761, 5213, 81933, 506, 5154, 1548, 1018, 4323, 8398, 6436, 236761, 138, 107, 236778, 236761, 5213, 21048, 236772, 4256, 506, 24694, 236858, 236751, 4981, 1018, 528, 46963, 236858, 236751, 1237, 8735, 236761, 138, 107, 236800, 236761, 5213, 26247, 9413, 53036, 1018, 568, 236744, 236761, 236759, 1126, 48970, 4553, 653, 14175, 1133, 24649, 236756, 10150, 769, 138, 108, 38786, 611, 1133, 786, 531, 6361, 607, 46963, 24694, 4981, 28250, 6555, 653, 5840, 9584, 2129, 236772, 58205, 4615, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 4461, 614, 4553, 699, 496, 3435, 861, 4430, 657, 623, 236804, 1810, 523, 4755, 236940, 30642, 45882, 236761, 41626, 236775, 600, 5072, 23284, 236764, 840, 564, 1461, 531, 16807, 1061, 71972, 1680, 11211, 1027, 4867, 9413, 236761, 28344, 611, 1171, 2426, 768, 672, 4553, 3421, 563, 4341, 532, 5143, 607, 496, 51415, 653, 41492, 8610, 236881, 564, 236789, 560, 1010, 30494, 1680, 684, 20190, 26104, 161887, 1759, 14601, 236764, 834, 564, 236789, 236753, 14756, 13868, 28250, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4730, 236779, 5939, 1083, 1847, 236764, 623, 19645, 236779, 14751, 1083, 1847, 236764, 623, 2763, 49090, 236779, 6774, 1083, 2416, 236764, 623, 163580, 8795, 236779, 19645, 1083, 2416, 236764, 623, 58578, 236779, 8318, 1083, 236743, 236819, 236810, 236764, 623, 107996, 236779, 13308, 1083, 3714, 6774, 236779, 107974, 236779, 4256, 1083, 623, 146759, 827, 623, 19645, 236779, 62094, 236779, 4256, 1083, 623, 114895, 827, 623, 222013, 236779, 4818, 1083, 623, 39446, 827, 623, 19645, 236779, 676, 1083, 623, 236778, 1518, 12314, 127096, 106, 107, 105, 4368, 107, 818, 4553, 3421, 5213, 236804, 1810, 523, 4755, 236940, 30642, 45882, 236761, 41626, 1018, 815, 1010, 44526, 607, 506, 2269, 2536, 236787, 138, 108, 236772, 113452, 5213, 13280, 6518, 1018, 532, 8610, 7519, 236761, 138, 107, 236772, 236743, 242523, 3790, 496, 51415, 4553, 3421, 236761, 138, 107, 236772, 236743, 249642, 49822, 563, 5213, 2217, 85859, 618, 41492, 1018, 568, 58578, 6317, 236787, 236743, 236819, 236810, 236786, 236770, 236771, 236771, 769, 138, 107, 236772, 5213, 31212, 3911, 66515, 70987, 573, 236743, 236778, 1518, 568, 15866, 1426, 23000, 529, 1646, 496, 15404, 51904, 8610, 769, 138, 107, 236772, 5213, 6907, 2234, 4981, 66515, 20840, 568, 1904, 44904, 4588, 4785, 769, 138, 108, 2094, 7412, 531, 577, 496, 30781, 4553, 3421, 236761, 1637, 611, 236789, 236753, 1133, 4767, 28250, 236764, 564, 740, 236787, 138, 107, 236770, 236761, 7179, 506, 8610, 236789, 236751, 37677, 2249, 15020, 4889, 568, 236744, 236761, 236759, 1126, 70325, 236764, 15020, 3433, 236764, 3662, 8283, 769, 138, 107, 236778, 236761, 12808, 573, 5569, 12314, 26104, 3361, 531, 623, 30642, 45882, 236761, 41626, 236775, 531, 6157, 855, 161119, 147776, 1493, 236761, 138, 108, 38786, 611, 1133, 531, 7162, 607, 3477, 529, 1239, 6555, 236881, 106, 107, 105, 2364, 107, 236777, 14756, 506, 13868, 1788, 236761, 3792, 236789, 236751, 7162, 607, 506, 5213, 62770, 2249, 15020, 4889, 1018, 573, 808, 30642, 45882, 236761, 41626, 236829, 1171, 236761, 564, 1461, 531, 9128, 506, 3662, 1938, 532, 5330, 506, 8610, 5889, 236789, 236745, 12314, 1208, 496, 11411, 2544, 653, 46020, 13186, 236761, 9920, 692, 16807, 600, 236764, 1451, 611, 992, 2426, 573, 5213, 1951, 586, 12314, 26104, 1018, 3361, 531, 623, 30642, 45882, 236761, 41626, 236775, 568, 236744, 236761, 236759, 1126, 3930, 90330, 1013, 1133, 623, 30642, 23114, 21447, 236761, 41626, 236775, 653, 623, 30642, 43850, 236761, 41626, 1373, 531, 6157, 855, 161119, 147776, 1493, 16972, 236881, 564, 236858, 560, 3472, 26694, 62611, 30781, 14601, 607, 6495, 8610, 119646, 236764, 532, 564, 236858, 236753, 4319, 577, 50799, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 236779, 1201, 1083, 623, 198399, 236550, 4989, 236761, 31832, 47615, 827, 623, 204441, 1083, 623, 1567, 87708, 236764, 5295, 10498, 623, 33382, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 111977, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 827, 623, 25903, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236771, 236810, 236787, 236800, 236778, 236953, 827, 623, 1201, 236779, 27933, 1083, 11058, 6510, 236772, 236770, 236778, 236828, 236832, 236761, 72373, 236761, 17081, 827, 623, 6510, 236772, 236812, 236778, 236770, 236810, 236761, 72373, 236761, 18851, 14255, 623, 4818, 1083, 623, 5586, 13530, 1489, 199278, 4560, 1411, 525, 1132, 236761, 2187, 236786, 236744, 612, 236865, 5586, 13530, 1489, 199278, 827, 623, 113907, 1083, 623, 218539, 56331, 15227, 236940, 1201, 87708, 236761, 854, 827, 623, 30393, 13746, 236779, 31108, 1083, 623, 32660, 83380, 16930, 22230, 24694, 827, 623, 30393, 13746, 236779, 3255, 1083, 623, 4070, 827, 623, 30393, 13746, 236779, 14801, 1083, 623, 3118, 827, 623, 30393, 13746, 236779, 6774, 1083, 623, 8473, 236940, 30642, 45882, 236761, 41626, 827, 623, 8473, 236779, 6774, 1083, 623, 8473, 236940, 30642, 45882, 236761, 41626, 827, 623, 17470, 236779, 6774, 1083, 623, 17470, 236940, 30642, 45882, 236761, 41626, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236771, 236810, 236787, 236800, 236778, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 133624, 1083, 11058, 30642, 23114, 21447, 236761, 41626, 827, 623, 30642, 43850, 236761, 41626, 827, 623, 30642, 45882, 236778, 236771, 236778, 236812, 236761, 41626, 827, 623, 30642, 45882, 4043, 236761, 41626, 827, 623, 30642, 23114, 236761, 41626, 14255, 623, 53298, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 12103, 236779, 721, 236779, 4000, 1083, 236743, 236810, 1263, 623, 28881, 236779, 103411, 1083, 3714, 41427, 1083, 623, 30642, 45882, 827, 623, 28945, 1083, 623, 30642, 45882, 236761, 41626, 23179, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 10354, 5213, 62770, 2249, 36997, 20303, 573, 808, 30642, 45882, 236761, 41626, 13513, 138, 107, 236772, 5213, 67696, 13746, 66515, 10703, 83380, 16930, 22230, 24694, 568, 12846, 22426, 236764, 2590, 236768, 138, 107, 236772, 5213, 67696, 8380, 66515, 7343, 87708, 236764, 5295, 236761, 138, 107, 236772, 5213, 44383, 6809, 66515, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236778, 138, 107, 236772, 5213, 157456, 6809, 66515, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 1567, 133740, 66515, 2165, 6510, 236772, 236770, 236778, 236828, 236832, 236761, 72373, 236761, 17081, 8347, 2165, 6510, 236772, 236812, 236778, 236770, 236810, 236761, 72373, 236761, 18851, 236929, 138, 107, 236772, 5213, 11431, 210122, 66515, 138, 107, 138, 236772, 30715, 236787, 2165, 8473, 236940, 30642, 45882, 236761, 41626, 236929, 138, 107, 138, 236772, 18671, 236787, 2165, 17470, 236940, 30642, 45882, 236761, 41626, 236929, 138, 107, 236772, 5213, 31212, 18365, 66515, 57843, 586, 12314, 568, 5586, 13530, 1489, 199278, 8134, 236768, 138, 107, 236772, 5213, 9008, 42841, 66515, 7250, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 138, 108, 1018, 88400, 66515, 138, 107, 818, 8610, 563, 12314, 531, 496, 30781, 6369, 13186, 568, 2182, 236780, 236768, 528, 46963, 236764, 496, 3364, 19595, 573, 8634, 236761, 669, 3662, 24157, 4241, 506, 8610, 236764, 532, 506, 70325, 568, 1567, 87708, 236768, 563, 66756, 236761, 2301, 2604, 22680, 1590, 236761, 138, 108, 7243, 108, 10354, 5213, 219967, 70987, 189236, 28257, 531, 623, 30642, 45882, 236761, 41626, 236775, 1018, 138, 107, 818, 2269, 26104, 964, 1765, 607, 623, 30642, 45882, 236775, 528, 910, 5618, 568, 86426, 506, 3303, 1473, 138, 107, 236770, 236761, 2165, 30642, 23114, 21447, 236761, 41626, 236929, 138, 107, 236778, 236761, 2165, 30642, 43850, 236761, 41626, 236929, 138, 107, 236800, 236761, 2165, 30642, 45882, 236778, 236771, 236778, 236812, 236761, 41626, 236929, 138, 107, 236812, 236761, 2165, 30642, 45882, 4043, 236761, 41626, 236929, 138, 107, 236810, 236761, 2165, 30642, 23114, 236761, 41626, 236929, 138, 108, 1018, 88400, 66515, 138, 107, 9208, 26104, 1451, 577, 161119, 147776, 1493, 16972, 653, 43365, 4588, 236761, 5450, 659, 4453, 12853, 236764, 840, 910, 25411, 1451, 71635, 5089, 236761, 669, 1689, 13682, 236787, 138, 107, 236772, 5213, 48570, 1163, 147776, 1493, 66515, 27480, 2473, 8442, 996, 623, 30642, 45882, 236761, 41626, 236775, 532, 2601, 580, 496, 44904, 3432, 236761, 138, 107, 236772, 5213, 38335, 34937, 1285, 66515, 25966, 7428, 1451, 1161, 3361, 26104, 573, 7009, 236761, 138, 108, 7243, 108, 10354, 5213, 201430, 1018, 138, 107, 236770, 236761, 5213, 142480, 607, 168904, 66515, 669, 3303, 8610, 20442, 30642, 45882, 236761, 41626, 18833, 7412, 30781, 236761, 19148, 9413, 53036, 568, 236744, 236761, 236759, 1126, 4323, 48970, 14175, 769, 138, 107, 236778, 236761, 5213, 52804, 28257, 189236, 66515, 14066, 62317, 15936, 568, 236744, 236761, 236759, 1126, 2165, 30642, 23114, 21447, 236761, 41626, 18833, 531, 5001, 77962, 236761, 138, 107, 236800, 236761, 5213, 81933, 13948, 181141, 66515, 1637, 1494, 236772, 119035, 13859, 563, 13015, 236764, 9128, 506, 4430, 236858, 236751, 71972, 4323, 496, 5154, 2246, 531, 506, 9456, 11551, 4553, 236761, 138, 108, 38786, 611, 1133, 786, 531, 1076, 872, 11734, 573, 861, 26104, 3361, 531, 623, 30642, 45882, 236761, 41626, 236775, 653, 18840, 506, 198873, 236858, 236751, 4083, 573, 3342, 2779, 63454, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 3671, 236761, 17770, 506, 3435, 13682, 236764, 564, 236858, 236753, 1133, 611, 531, 5213, 1025, 872, 11734, 573, 15152, 12314, 26104, 3361, 531, 623, 30642, 45882, 236761, 41626, 236775, 1018, 531, 4196, 104524, 1003, 1027, 3402, 161119, 147776, 1493, 16972, 236761, 1174, 100146, 607, 1041, 2779, 63454, 1657, 573, 4430, 89410, 236761, 18741, 236764, 1451, 611, 5213, 187671, 506, 198873, 236858, 236751, 4083, 1018, 568, 32660, 83380, 16930, 22230, 24694, 236768, 573, 4487, 8610, 110148, 653, 42469, 236881, 564, 1461, 531, 5330, 901, 10366, 236858, 236745, 1010, 5418, 528, 1027, 8610, 236772, 10619, 112873, 653, 45442, 1960, 64233, 236761, 64747, 236764, 1651, 506, 37677, 2249, 3662, 24157, 4241, 506, 8610, 236764, 1093, 611, 5840, 4071, 236772, 595, 6323, 506, 5154, 1548, 9456, 528, 506, 37677, 2249, 568, 584, 1027, 236768, 4323, 496, 1237, 12229, 236881, 564, 236858, 236753, 1133, 531, 9128, 506, 198873, 236858, 236751, 5663, 6219, 532, 17934, 71972, 236761, 3792, 236858, 236751, 25044, 1239, 6555, 531, 5330, 146733, 28250, 1680, 26891, 3342, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 133624, 1083, 11058, 30642, 45882, 61054, 236761, 854, 827, 623, 30642, 45882, 4043, 236761, 2108, 827, 623, 30642, 45882, 553, 3203, 913, 236761, 2187, 827, 623, 30642, 45882, 41626, 236761, 2108, 827, 623, 30642, 45882, 101826, 236761, 854, 14255, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236810, 236764, 623, 189690, 236779, 19645, 1083, 623, 30642, 45882, 236761, 41626, 827, 623, 41427, 236779, 7212, 1083, 623, 30642, 45882, 827, 623, 114613, 236779, 4818, 1083, 623, 120104, 573, 3361, 26104, 815, 1010, 27702, 236761, 165731, 795, 577, 3265, 573, 861, 110148, 16590, 506, 756, 30642, 45882, 236789, 30136, 3759, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 19645, 236779, 1201, 1083, 623, 198399, 236550, 4989, 236761, 31832, 47615, 827, 623, 204441, 1083, 623, 1567, 87708, 236764, 5295, 10498, 623, 33382, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236828, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 827, 623, 111977, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236828, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 827, 623, 25903, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236771, 236770, 236774, 236771, 236819, 236787, 236770, 236771, 236787, 236770, 236770, 236953, 827, 623, 1201, 236779, 27933, 1083, 11058, 6510, 236772, 236770, 236778, 236828, 236832, 236761, 198399, 236550, 4989, 236761, 31832, 47615, 827, 623, 6510, 236772, 236812, 236810, 236825, 236761, 198399, 236550, 4989, 236761, 31832, 47615, 14255, 623, 4818, 1083, 623, 5586, 13530, 1489, 199278, 4560, 1411, 525, 1132, 236761, 2187, 236786, 236744, 612, 236865, 5586, 13530, 1489, 199278, 827, 623, 113907, 1083, 623, 218539, 56331, 15227, 236940, 1201, 87708, 236761, 854, 827, 623, 30393, 13746, 236779, 31108, 1083, 623, 32660, 83380, 16930, 22230, 24694, 827, 623, 30393, 13746, 236779, 3255, 1083, 623, 4070, 827, 623, 30393, 13746, 236779, 14801, 1083, 623, 3118, 827, 623, 30393, 13746, 236779, 5275, 1083, 10955, 236770, 236761, 236800, 236771, 236778, 236810, 236810, 236810, 236771, 236770, 236778, 236800, 827, 623, 30393, 13746, 236779, 6774, 1083, 623, 8473, 236940, 30642, 45882, 236761, 41626, 827, 623, 8473, 236779, 6774, 1083, 623, 8473, 236940, 30642, 45882, 236761, 41626, 827, 623, 79205, 236779, 6774, 1083, 623, 17470, 236940, 30642, 45882, 236761, 41626, 25938, 106, 107, 105, 4368, 107, 10354, 5213, 120104, 573, 28257, 189236, 1018, 138, 107, 120104, 573, 26104, 16590, 506, 3759, 623, 30642, 45882, 236775, 815, 1010, 27702, 236761, 1599, 795, 5908, 51679, 573, 861, 110148, 1133, 2165, 30642, 45882, 61054, 236761, 854, 236929, 653, 2165, 30642, 23114, 21447, 236761, 41626, 21233, 1174, 7351, 6440, 161119, 147776, 1493, 653, 5500, 62611, 824, 16972, 528, 1759, 990, 236761, 138, 108, 7243, 108, 10354, 5213, 67696, 13746, 10358, 13768, 1018, 138, 107, 818, 37677, 2249, 1262, 573, 808, 30642, 45882, 236761, 41626, 236829, 21577, 506, 198873, 236787, 138, 107, 236772, 5213, 32660, 83380, 16930, 22230, 24694, 1018, 568, 12846, 22426, 236764, 2590, 236768, 138, 107, 236772, 5213, 9704, 66515, 900, 236770, 236761, 236800, 236771, 236778, 236761, 236810, 236810, 236810, 236761, 236771, 236770, 236778, 236800, 568, 12846, 22426, 2433, 3393, 236768, 138, 107, 236772, 5213, 13517, 189236, 66515, 138, 107, 138, 236772, 2165, 30642, 45882, 61054, 236761, 854, 236929, 138, 107, 138, 236772, 2165, 30642, 45882, 4043, 236761, 2108, 236929, 138, 107, 138, 236772, 2165, 30642, 45882, 553, 3203, 913, 236761, 2187, 236929, 138, 107, 138, 236772, 2165, 30642, 45882, 41626, 236761, 2108, 236929, 138, 107, 138, 236772, 2165, 30642, 45882, 101826, 236761, 854, 236929, 138, 108, 1018, 88400, 66515, 138, 107, 236772, 669, 13186, 815, 12314, 5065, 26104, 1208, 506, 623, 32660, 83380, 236775, 5500, 236764, 22169, 496, 81272, 1960, 7545, 236761, 138, 107, 236772, 2301, 4914, 529, 44911, 26104, 653, 4487, 42469, 528, 506, 37677, 2249, 1262, 236761, 138, 107, 236772, 46963, 24694, 236751, 659, 3364, 573, 14431, 6733, 532, 15603, 236764, 837, 563, 4077, 5428, 573, 30781, 14601, 236761, 138, 108, 1018, 211199, 66515, 138, 107, 3771, 2604, 22680, 13207, 236761, 1701, 19276, 2779, 63454, 236764, 611, 1451, 236787, 138, 107, 236770, 236761, 12808, 46963, 236858, 236751, 1237, 1960, 39698, 531, 9128, 506, 24694, 236858, 236751, 5158, 4981, 236761, 138, 107, 236778, 236761, 7179, 506, 27026, 7449, 18445, 568, 126310, 236768, 653, 4668, 48531, 573, 24764, 653, 35610, 236761, 138, 108, 7243, 108, 10354, 5213, 9704, 9661, 90329, 1018, 138, 107, 818, 198873, 236858, 236751, 5154, 1548, 167043, 236862, 236770, 236761, 236800, 236771, 236778, 236761, 236810, 236810, 236810, 236761, 236771, 236770, 236778, 236800, 119542, 7412, 531, 1500, 46963, 236858, 236751, 2433, 3393, 236761, 3153, 236787, 138, 107, 236772, 5213, 236810, 236810, 236810, 4945, 1018, 568, 5282, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236778, 236800, 236768, 659, 3187, 17709, 4945, 528, 37677, 2249, 1262, 531, 5571, 44571, 236761, 138, 107, 236772, 7423, 12229, 17507, 568, 236744, 236761, 236759, 1126, 7286, 11134, 236768, 1093, 577, 4354, 531, 9128, 28100, 236761, 138, 108, 1018, 211199, 66515, 138, 107, 236772, 6890, 496, 14416, 5154, 38485, 5904, 568, 71681, 672, 1458, 236858, 236751, 15858, 236768, 531, 16807, 768, 506, 1548, 563, 5158, 532, 12809, 531, 506, 198873, 236761, 138, 107, 236772, 1637, 6749, 236764, 3662, 506, 198873, 4323, 506, 9456, 4553, 20442, 8473, 236940, 30642, 45882, 236761, 41626, 18833, 531, 2864, 496, 12210, 580, 496, 27662, 1757, 236761, 138, 108, 7243, 108, 10354, 5213, 17667, 75042, 1018, 138, 107, 818, 198873, 7412, 30781, 236764, 607, 496, 9958, 5500, 6219, 532, 951, 41492, 4588, 13207, 236761, 45325, 563, 528, 1977, 531, 8134, 3402, 13682, 236761, 1637, 26891, 607, 1494, 236772, 2394, 13859, 236787, 138, 107, 236770, 236761, 5213, 81933, 506, 5154, 1548, 1018, 4323, 8398, 6436, 236761, 138, 107, 236778, 236761, 5213, 21048, 236772, 4256, 506, 24694, 236858, 236751, 4981, 1018, 528, 46963, 236858, 236751, 1237, 8735, 236761, 138, 107, 236800, 236761, 5213, 26247, 9413, 53036, 1018, 568, 236744, 236761, 236759, 1126, 48970, 4553, 653, 14175, 1133, 24649, 236756, 10150, 769, 138, 108, 38786, 611, 1133, 786, 531, 6361, 607, 46963, 24694, 4981, 28250, 6555, 653, 5840, 9584, 2129, 236772, 58205, 4615, 236881, 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, 13327, 531, 2260, 22344, 618, 564, 1537, 236789, 236745, 735, 2802, 531, 600, 18544, 236761, 3153, 236764, 564, 740, 2426, 768, 496, 4456, 563, 2487, 768, 611, 1202, 1601, 607, 600, 236761, 3792, 786, 1281, 1217, 1663, 564, 740, 6361, 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 ]
[ 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, 13327, 531, 2260, 22344, 618, 564, 1537, 236789, 236745, 735, 2802, 531, 600, 18544, 236761, 3153, 236764, 564, 740, 2426, 768, 496, 4456, 563, 2487, 768, 611, 1202, 1601, 607, 600, 236761, 3792, 786, 1281, 1217, 1663, 564, 740, 6361, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 9795, 506, 14871, 11006, 614, 19717, 580, 3668, 8459, 4083, 236761, 28344, 611, 33205, 506, 23199, 89707, 573, 5884, 32754, 568, 24464, 236768, 834, 564, 740, 3050, 910, 11858, 4867, 4100, 236881, 6890, 506, 2862, 236779, 4706, 236779, 3267, 1013, 5904, 573, 672, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 3267, 1013, 1083, 78493, 3267, 522, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236810, 827, 623, 3267, 522, 236779, 2084, 1083, 623, 236770, 236771, 236772, 236855, 827, 623, 7777, 1083, 623, 68051, 8708, 573, 57800, 8799, 236743, 236778, 236771, 236778, 236800, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236770, 236828, 236778, 236800, 236771, 236786, 236771, 236771, 236771, 236771, 236771, 236770, 236828, 236778, 236800, 236771, 236778, 236812, 236771, 236771, 236771, 236771, 236771, 236770, 236786, 42842, 236772, 236778, 236771, 236778, 236800, 236770, 236778, 236800, 236770, 236761, 34723, 23179, 3714, 3267, 522, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236778, 827, 623, 3267, 522, 236779, 2084, 1083, 623, 236770, 236771, 236772, 236935, 827, 623, 7777, 1083, 623, 75819, 586, 8708, 573, 22053, 103190, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236770, 236828, 236778, 236800, 236771, 236786, 236771, 236771, 236771, 236771, 236771, 236770, 236828, 236778, 236800, 236771, 236778, 236800, 236771, 236771, 236771, 236771, 236832, 236800, 236786, 42842, 236772, 236778, 236771, 236778, 236800, 236771, 236819, 236800, 236771, 236779, 33255, 586, 15443, 236761, 34723, 23179, 3714, 3267, 522, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236771, 236800, 827, 623, 3267, 522, 236779, 2084, 1083, 623, 236828, 236772, 236855, 827, 623, 7777, 1083, 623, 8782, 8708, 580, 12683, 31698, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236770, 236828, 236778, 236800, 236771, 236786, 236771, 236771, 236771, 236771, 236771, 236770, 236828, 236778, 236800, 236771, 236778, 236800, 236771, 236771, 236771, 236771, 236810, 236770, 236786, 42842, 236772, 236828, 236767, 236779, 236778, 236771, 236778, 236800, 236771, 236828, 236771, 236800, 236761, 34723, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 4803, 23199, 89707, 573, 5884, 32754, 568, 24464, 236768, 600, 1451, 2847, 18522, 1131, 910, 4867, 4083, 532, 4100, 236787, 108, 236770, 236761, 5213, 236770, 236771, 236772, 236855, 19419, 8708, 568, 236778, 236771, 236778, 236800, 62902, 138, 107, 139, 236772, 5213, 3682, 113883, 66515, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236810, 138, 107, 139, 236772, 5213, 9770, 66515, 61774, 7384, 4867, 11461, 532, 3671, 573, 16347, 1051, 236743, 236778, 236771, 236778, 236800, 236761, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 24464, 236743, 236778, 236771, 236778, 236800, 19419, 8708, 5457, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236770, 236828, 236778, 236800, 236771, 236786, 236771, 236771, 236771, 236771, 236771, 236770, 236828, 236778, 236800, 236771, 236778, 236812, 236771, 236771, 236771, 236771, 236771, 236770, 236786, 42842, 236772, 236778, 236771, 236778, 236800, 236770, 236778, 236800, 236770, 236761, 34723, 236768, 138, 108, 236778, 236761, 5213, 236770, 236771, 236772, 236935, 63919, 8708, 568, 236935, 236800, 236743, 236778, 236771, 236778, 236800, 62902, 138, 107, 139, 236772, 5213, 3682, 113883, 66515, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236778, 138, 107, 139, 236772, 5213, 9770, 66515, 16906, 3736, 573, 506, 7737, 16548, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 236761, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 24464, 1366, 236800, 236743, 236778, 236771, 236778, 236800, 8708, 5457, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236770, 236828, 236778, 236800, 236771, 236786, 236771, 236771, 236771, 236771, 236771, 236770, 236828, 236778, 236800, 236771, 236778, 236800, 236771, 236771, 236771, 236771, 236832, 236800, 236786, 42842, 236772, 236778, 236771, 236778, 236800, 236771, 236819, 236800, 236771, 236779, 33255, 586, 15443, 236761, 34723, 236768, 138, 108, 236800, 236761, 5213, 236828, 236772, 236855, 12683, 31698, 8708, 1018, 138, 107, 139, 236772, 5213, 3682, 113883, 66515, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236771, 236800, 138, 107, 139, 236772, 5213, 9770, 66515, 20303, 529, 3629, 11961, 4749, 653, 3731, 1913, 506, 2846, 236761, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 24464, 236743, 236828, 236772, 236855, 8708, 5457, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236770, 236828, 236778, 236800, 236771, 236786, 236771, 236771, 236771, 236771, 236771, 236770, 236828, 236778, 236800, 236771, 236778, 236800, 236771, 236771, 236771, 236771, 236810, 236770, 236786, 42842, 236772, 236828, 236767, 236779, 236778, 236771, 236778, 236800, 236771, 236828, 236771, 236800, 236761, 34723, 236768, 138, 108, 9208, 89707, 3204, 4867, 11461, 236764, 17934, 19455, 236764, 532, 111199, 1003, 27506, 236789, 236751, 14971, 9886, 236764, 837, 1451, 1601, 58344, 969, 1061, 3853, 528, 3668, 8459, 4083, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 3671, 236888, 106, 107, 105, 2364, 107, 818, 27506, 89707, 659, 11045, 236764, 840, 564, 236789, 236753, 1133, 531, 10769, 672, 607, 16103, 236789, 236751, 4867, 33744, 236761, 28344, 611, 1161, 506, 5213, 14973, 236779, 4706, 236779, 3267, 1013, 1018, 5904, 1570, 573, 16103, 568, 236811, 236768, 531, 18840, 39692, 236786, 61869, 7910, 528, 910, 8459, 4100, 236881, 6542, 236764, 1451, 611, 12270, 4803, 4668, 10308, 1003, 506, 31170, 3956, 236789, 236751, 11858, 17141, 1699, 5213, 15768, 236779, 12959, 1018, 236881, 564, 1461, 531, 5330, 506, 19717, 22136, 1800, 5905, 7021, 532, 4532, 58046, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3267, 1013, 1083, 78493, 2084, 1083, 623, 236770, 236771, 236772, 236855, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 827, 623, 2883, 1083, 623, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236800, 236832, 236819, 236819, 236825, 236786, 236771, 236771, 236771, 236771, 236771, 236800, 236832, 236819, 236819, 236825, 236778, 236800, 236771, 236771, 236771, 236771, 236810, 236812, 236786, 236760, 236772, 236778, 236771, 236778, 236800, 236770, 236778, 236800, 236770, 236761, 34723, 23179, 3714, 2084, 1083, 623, 236770, 236771, 236772, 236935, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236800, 236770, 827, 623, 2883, 1083, 623, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236800, 236832, 236819, 236819, 236825, 236786, 236771, 236771, 236771, 236771, 236771, 236800, 236832, 236819, 236819, 236825, 236778, 236812, 236771, 236771, 236771, 236771, 236778, 236800, 236786, 236760, 236772, 236778, 236771, 236778, 236812, 236771, 236800, 236800, 236770, 236761, 34723, 23179, 3714, 2084, 1083, 623, 236828, 236772, 236855, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 2883, 1083, 623, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236800, 236832, 236819, 236819, 236825, 236786, 236771, 236771, 236771, 236771, 236771, 236800, 236832, 236819, 236819, 236825, 236778, 236812, 236771, 236771, 236771, 236771, 236812, 236810, 236786, 236760, 236772, 236778, 236771, 236778, 236812, 236771, 236810, 236770, 236810, 236761, 34723, 25938, 1604, 623, 25385, 236779, 1201, 1083, 623, 52111, 18350, 6503, 827, 623, 22037, 1083, 623, 236811, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 818, 36630, 529, 506, 68449, 20467, 236787, 4934, 16103, 1929, 531, 16455, 83436, 827, 623, 6011, 1083, 623, 236776, 13611, 3671, 529, 2307, 11858, 24637, 528, 31170, 11675, 532, 910, 61269, 4100, 10498, 623, 6265, 1083, 623, 48930, 18514, 10358, 9352, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 100368, 8921, 48602, 528, 3331, 35485, 236787, 91468, 27506, 532, 16103, 236789, 236751, 19380, 7708, 28801, 827, 623, 6011, 1083, 623, 1683, 61151, 10616, 36253, 532, 80426, 11298, 528, 236743, 236778, 236771, 594, 236772, 33201, 31170, 3719, 10498, 623, 6265, 1083, 623, 29399, 529, 19380, 28917, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 23179, 3714, 3250, 1083, 623, 3910, 27847, 3331, 7803, 92271, 2015, 13806, 68449, 12464, 827, 623, 6011, 1083, 623, 20647, 2985, 506, 60370, 4100, 529, 3649, 236743, 236770, 236819, 236771, 236771, 236751, 31170, 1702, 12466, 580, 16236, 15620, 2913, 10498, 623, 6265, 1083, 623, 80401, 10950, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 15633, 1938, 573, 16103, 568, 236811, 236768, 532, 4803, 31170, 3956, 3671, 236787, 108, 7243, 108, 10354, 5213, 52111, 568, 236811, 236768, 23199, 7823, 1013, 1018, 107, 236770, 236761, 5213, 236770, 236771, 236772, 236855, 19419, 8708, 568, 236778, 236771, 236778, 236800, 62902, 138, 107, 139, 236772, 5213, 3682, 113883, 66515, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 52111, 236743, 236778, 236771, 236778, 236800, 19419, 8708, 5457, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236800, 236832, 236819, 236819, 236825, 236786, 236771, 236771, 236771, 236771, 236771, 236800, 236832, 236819, 236819, 236825, 236778, 236800, 236771, 236771, 236771, 236771, 236810, 236812, 236786, 236760, 236772, 236778, 236771, 236778, 236800, 236770, 236778, 236800, 236770, 236761, 34723, 236768, 138, 108, 236778, 236761, 5213, 236770, 236771, 236772, 236935, 63919, 8708, 568, 236935, 236770, 236743, 236778, 236771, 236778, 236812, 62902, 138, 107, 139, 236772, 5213, 3682, 113883, 66515, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236800, 236770, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 52111, 1366, 236770, 236743, 236778, 236771, 236778, 236812, 8708, 5457, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236800, 236832, 236819, 236819, 236825, 236786, 236771, 236771, 236771, 236771, 236771, 236800, 236832, 236819, 236819, 236825, 236778, 236812, 236771, 236771, 236771, 236771, 236778, 236800, 236786, 236760, 236772, 236778, 236771, 236778, 236812, 236771, 236800, 236800, 236770, 236761, 34723, 236768, 138, 108, 236800, 236761, 5213, 236828, 236772, 236855, 12683, 31698, 8708, 1018, 138, 107, 139, 236772, 5213, 3682, 113883, 66515, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 52111, 236743, 236828, 236772, 236855, 8708, 5457, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236800, 236832, 236819, 236819, 236825, 236786, 236771, 236771, 236771, 236771, 236771, 236800, 236832, 236819, 236819, 236825, 236778, 236812, 236771, 236771, 236771, 236771, 236812, 236810, 236786, 236760, 236772, 236778, 236771, 236778, 236812, 236771, 236810, 236770, 236810, 236761, 34723, 236768, 138, 108, 7243, 108, 10354, 5213, 47619, 7074, 580, 68449, 20467, 10358, 1018, 107, 236770, 236761, 5213, 236840, 818, 36630, 529, 506, 68449, 20467, 236787, 4934, 16103, 1929, 531, 16455, 83436, 5457, 2574, 1411, 8358, 236761, 854, 62902, 138, 107, 139, 236772, 5213, 5825, 66515, 808, 48930, 18514, 10358, 9352, 236829, 568, 27393, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 139, 236772, 5213, 24355, 66515, 54751, 14728, 24637, 699, 3413, 3719, 568, 52111, 1929, 236768, 531, 4532, 15620, 13862, 532, 910, 61269, 18506, 236761, 138, 108, 236778, 236761, 5213, 236840, 100368, 8921, 48602, 528, 3331, 35485, 236787, 91468, 27506, 532, 16103, 236789, 236751, 19380, 7708, 28801, 5457, 2574, 1411, 8358, 236761, 854, 62902, 138, 107, 139, 236772, 5213, 5825, 66515, 808, 29399, 529, 19380, 28917, 236829, 568, 27393, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 139, 236772, 5213, 24355, 66515, 70731, 10616, 36253, 532, 14971, 8798, 1534, 27506, 532, 16103, 528, 43167, 236743, 236778, 236771, 594, 236772, 33201, 11675, 236761, 138, 108, 236800, 236761, 5213, 236840, 3910, 27847, 3331, 7803, 92271, 2015, 13806, 68449, 12464, 5457, 2574, 1411, 8358, 236761, 854, 62902, 138, 107, 139, 236772, 5213, 5825, 66515, 808, 80401, 10950, 236829, 568, 27393, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 139, 236772, 5213, 24355, 66515, 11873, 2985, 1217, 3649, 236743, 236770, 236819, 236771, 236771, 236751, 1702, 12466, 1573, 16236, 15620, 2913, 236761, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 573, 64469, 55302, 1018, 107, 236772, 44906, 16103, 532, 27506, 89707, 531, 8701, 15067, 528, 10471, 236764, 630, 236880, 236796, 17461, 236764, 532, 14971, 24637, 568, 236744, 236761, 236759, 1126, 15620, 22109, 769, 138, 107, 236772, 6890, 506, 4668, 10308, 531, 58344, 969, 910, 8459, 160499, 532, 3205, 11858, 71884, 531, 4532, 67966, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 19276, 3671, 529, 3530, 89707, 653, 10308, 236888, 106, 107, 105, 2364, 107, 2094, 563, 7516, 2561, 531, 9530, 506, 623, 14075, 14019, 236775, 169266, 236761, 3792, 236858, 236751, 96596, 506, 3671, 236787, 236743, 236770, 236761, 5213, 30092, 611, 10769, 27506, 532, 16103, 236858, 236751, 630, 236880, 236796, 17461, 528, 5898, 11182, 568, 22486, 236751, 236768, 1699, 910, 236743, 236778, 236771, 236778, 236800, 236743, 236770, 236771, 236772, 236855, 7248, 236881, 1018, 39799, 236764, 8430, 9732, 573, 236787, 753, 12613, 630, 236880, 236796, 11704, 568, 495, 23058, 236768, 753, 70231, 28606, 531, 116629, 236786, 165944, 14896, 753, 47746, 7675, 573, 15620, 3719, 90353, 236743, 236778, 236761, 5213, 12721, 236764, 699, 506, 74063, 4668, 10308, 236764, 1451, 611, 49573, 1217, 16103, 1929, 236858, 236751, 14510, 1757, 36253, 568, 236770, 236819, 236770, 236771, 236751, 236772, 236770, 236819, 236778, 236771, 236751, 236768, 659, 1646, 544, 106418, 528, 4532, 15620, 11675, 236881, 1018, 669, 808, 29399, 529, 19380, 28917, 236829, 4676, 4547, 33466, 580, 672, 236761, 1174, 795, 1601, 506, 19717, 4988, 1982, 4463, 1534, 11858, 8459, 11298, 532, 1873, 29913, 236761, 3792, 786, 1281, 768, 506, 6436, 1202, 68657, 236888, 106, 107, 105, 4368, 107, 236777, 3914, 5467, 8430, 3530, 9732, 699, 23199, 89707, 653, 4668, 10308, 1699, 506, 1873, 6436, 236761, 669, 5213, 14973, 236779, 4706, 236779, 3267, 1013, 1018, 5904, 1186, 4728, 22628, 28436, 532, 9851, 236764, 711, 506, 2587, 1816, 653, 45271, 4867, 1262, 236761, 21325, 236764, 5213, 15768, 236779, 12959, 1018, 7623, 19293, 236786, 114687, 695, 840, 711, 9813, 4676, 3004, 236761, 2282, 18840, 630, 236880, 236796, 75043, 653, 11858, 183927, 847, 236764, 611, 1093, 1202, 531, 236787, 108, 236770, 236761, 5213, 30852, 506, 2587, 236743, 236770, 236771, 236772, 236855, 7248, 1018, 568, 15218, 506, 9851, 3847, 6517, 236768, 531, 24473, 8430, 630, 236880, 236796, 9732, 532, 15620, 11298, 236761, 138, 107, 236778, 236761, 5213, 11942, 506, 2587, 1816, 529, 506, 808, 29399, 529, 19380, 28917, 236829, 4676, 1018, 573, 9813, 3671, 529, 16103, 1929, 236858, 236751, 4532, 22327, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236772, 59336, 3927, 3755, 653, 10458, 2351, 506, 236743, 236770, 236771, 236772, 104860, 531, 29888, 630, 236880, 236796, 1262, 236881, 138, 107, 236772, 10867, 688, 506, 4668, 3927, 531, 56856, 10308, 607, 19276, 11858, 3671, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 506, 14871, 11006, 614, 19717, 580, 3668, 8459, 4083, 236761, 28344, 611, 33205, 506, 23199, 89707, 573, 5884, 32754, 568, 24464, 236768, 834, 564, 740, 3050, 910, 11858, 4867, 4100, 236881, 6890, 506, 2862, 236779, 4706, 236779, 3267, 1013, 5904, 573, 672, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 3267, 1013, 1083, 78493, 3267, 522, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236810, 827, 623, 3267, 522, 236779, 2084, 1083, 623, 236770, 236771, 236772, 236855, 827, 623, 7777, 1083, 623, 68051, 8708, 573, 57800, 8799, 236743, 236778, 236771, 236778, 236800, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236770, 236828, 236778, 236800, 236771, 236786, 236771, 236771, 236771, 236771, 236771, 236770, 236828, 236778, 236800, 236771, 236778, 236812, 236771, 236771, 236771, 236771, 236771, 236770, 236786, 42842, 236772, 236778, 236771, 236778, 236800, 236770, 236778, 236800, 236770, 236761, 34723, 23179, 3714, 3267, 522, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236778, 827, 623, 3267, 522, 236779, 2084, 1083, 623, 236770, 236771, 236772, 236935, 827, 623, 7777, 1083, 623, 75819, 586, 8708, 573, 22053, 103190, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236770, 236828, 236778, 236800, 236771, 236786, 236771, 236771, 236771, 236771, 236771, 236770, 236828, 236778, 236800, 236771, 236778, 236800, 236771, 236771, 236771, 236771, 236832, 236800, 236786, 42842, 236772, 236778, 236771, 236778, 236800, 236771, 236819, 236800, 236771, 236779, 33255, 586, 15443, 236761, 34723, 23179, 3714, 3267, 522, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236771, 236800, 827, 623, 3267, 522, 236779, 2084, 1083, 623, 236828, 236772, 236855, 827, 623, 7777, 1083, 623, 8782, 8708, 580, 12683, 31698, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236770, 236828, 236778, 236800, 236771, 236786, 236771, 236771, 236771, 236771, 236771, 236770, 236828, 236778, 236800, 236771, 236778, 236800, 236771, 236771, 236771, 236771, 236810, 236770, 236786, 42842, 236772, 236828, 236767, 236779, 236778, 236771, 236778, 236800, 236771, 236828, 236771, 236800, 236761, 34723, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 4803, 23199, 89707, 573, 5884, 32754, 568, 24464, 236768, 600, 1451, 2847, 18522, 1131, 910, 4867, 4083, 532, 4100, 236787, 108, 236770, 236761, 5213, 236770, 236771, 236772, 236855, 19419, 8708, 568, 236778, 236771, 236778, 236800, 62902, 138, 107, 139, 236772, 5213, 3682, 113883, 66515, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236770, 236810, 138, 107, 139, 236772, 5213, 9770, 66515, 61774, 7384, 4867, 11461, 532, 3671, 573, 16347, 1051, 236743, 236778, 236771, 236778, 236800, 236761, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 24464, 236743, 236778, 236771, 236778, 236800, 19419, 8708, 5457, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236770, 236828, 236778, 236800, 236771, 236786, 236771, 236771, 236771, 236771, 236771, 236770, 236828, 236778, 236800, 236771, 236778, 236812, 236771, 236771, 236771, 236771, 236771, 236770, 236786, 42842, 236772, 236778, 236771, 236778, 236800, 236770, 236778, 236800, 236770, 236761, 34723, 236768, 138, 108, 236778, 236761, 5213, 236770, 236771, 236772, 236935, 63919, 8708, 568, 236935, 236800, 236743, 236778, 236771, 236778, 236800, 62902, 138, 107, 139, 236772, 5213, 3682, 113883, 66515, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236778, 138, 107, 139, 236772, 5213, 9770, 66515, 16906, 3736, 573, 506, 7737, 16548, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 236761, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 24464, 1366, 236800, 236743, 236778, 236771, 236778, 236800, 8708, 5457, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236770, 236828, 236778, 236800, 236771, 236786, 236771, 236771, 236771, 236771, 236771, 236770, 236828, 236778, 236800, 236771, 236778, 236800, 236771, 236771, 236771, 236771, 236832, 236800, 236786, 42842, 236772, 236778, 236771, 236778, 236800, 236771, 236819, 236800, 236771, 236779, 33255, 586, 15443, 236761, 34723, 236768, 138, 108, 236800, 236761, 5213, 236828, 236772, 236855, 12683, 31698, 8708, 1018, 138, 107, 139, 236772, 5213, 3682, 113883, 66515, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236771, 236800, 138, 107, 139, 236772, 5213, 9770, 66515, 20303, 529, 3629, 11961, 4749, 653, 3731, 1913, 506, 2846, 236761, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 24464, 236743, 236828, 236772, 236855, 8708, 5457, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236770, 236828, 236778, 236800, 236771, 236786, 236771, 236771, 236771, 236771, 236771, 236770, 236828, 236778, 236800, 236771, 236778, 236800, 236771, 236771, 236771, 236771, 236810, 236770, 236786, 42842, 236772, 236828, 236767, 236779, 236778, 236771, 236778, 236800, 236771, 236828, 236771, 236800, 236761, 34723, 236768, 138, 108, 9208, 89707, 3204, 4867, 11461, 236764, 17934, 19455, 236764, 532, 111199, 1003, 27506, 236789, 236751, 14971, 9886, 236764, 837, 1451, 1601, 58344, 969, 1061, 3853, 528, 3668, 8459, 4083, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 3671, 236888, 106, 107, 105, 2364, 107, 818, 27506, 89707, 659, 11045, 236764, 840, 564, 236789, 236753, 1133, 531, 10769, 672, 607, 16103, 236789, 236751, 4867, 33744, 236761, 28344, 611, 1161, 506, 5213, 14973, 236779, 4706, 236779, 3267, 1013, 1018, 5904, 1570, 573, 16103, 568, 236811, 236768, 531, 18840, 39692, 236786, 61869, 7910, 528, 910, 8459, 4100, 236881, 6542, 236764, 1451, 611, 12270, 4803, 4668, 10308, 1003, 506, 31170, 3956, 236789, 236751, 11858, 17141, 1699, 5213, 15768, 236779, 12959, 1018, 236881, 564, 1461, 531, 5330, 506, 19717, 22136, 1800, 5905, 7021, 532, 4532, 58046, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3267, 1013, 1083, 78493, 2084, 1083, 623, 236770, 236771, 236772, 236855, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 827, 623, 2883, 1083, 623, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236800, 236832, 236819, 236819, 236825, 236786, 236771, 236771, 236771, 236771, 236771, 236800, 236832, 236819, 236819, 236825, 236778, 236800, 236771, 236771, 236771, 236771, 236810, 236812, 236786, 236760, 236772, 236778, 236771, 236778, 236800, 236770, 236778, 236800, 236770, 236761, 34723, 23179, 3714, 2084, 1083, 623, 236770, 236771, 236772, 236935, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236800, 236770, 827, 623, 2883, 1083, 623, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236800, 236832, 236819, 236819, 236825, 236786, 236771, 236771, 236771, 236771, 236771, 236800, 236832, 236819, 236819, 236825, 236778, 236812, 236771, 236771, 236771, 236771, 236778, 236800, 236786, 236760, 236772, 236778, 236771, 236778, 236812, 236771, 236800, 236800, 236770, 236761, 34723, 23179, 3714, 2084, 1083, 623, 236828, 236772, 236855, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 2883, 1083, 623, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236800, 236832, 236819, 236819, 236825, 236786, 236771, 236771, 236771, 236771, 236771, 236800, 236832, 236819, 236819, 236825, 236778, 236812, 236771, 236771, 236771, 236771, 236812, 236810, 236786, 236760, 236772, 236778, 236771, 236778, 236812, 236771, 236810, 236770, 236810, 236761, 34723, 25938, 1604, 623, 25385, 236779, 1201, 1083, 623, 52111, 18350, 6503, 827, 623, 22037, 1083, 623, 236811, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 818, 36630, 529, 506, 68449, 20467, 236787, 4934, 16103, 1929, 531, 16455, 83436, 827, 623, 6011, 1083, 623, 236776, 13611, 3671, 529, 2307, 11858, 24637, 528, 31170, 11675, 532, 910, 61269, 4100, 10498, 623, 6265, 1083, 623, 48930, 18514, 10358, 9352, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 100368, 8921, 48602, 528, 3331, 35485, 236787, 91468, 27506, 532, 16103, 236789, 236751, 19380, 7708, 28801, 827, 623, 6011, 1083, 623, 1683, 61151, 10616, 36253, 532, 80426, 11298, 528, 236743, 236778, 236771, 594, 236772, 33201, 31170, 3719, 10498, 623, 6265, 1083, 623, 29399, 529, 19380, 28917, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 23179, 3714, 3250, 1083, 623, 3910, 27847, 3331, 7803, 92271, 2015, 13806, 68449, 12464, 827, 623, 6011, 1083, 623, 20647, 2985, 506, 60370, 4100, 529, 3649, 236743, 236770, 236819, 236771, 236771, 236751, 31170, 1702, 12466, 580, 16236, 15620, 2913, 10498, 623, 6265, 1083, 623, 80401, 10950, 827, 623, 119789, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 15633, 1938, 573, 16103, 568, 236811, 236768, 532, 4803, 31170, 3956, 3671, 236787, 108, 7243, 108, 10354, 5213, 52111, 568, 236811, 236768, 23199, 7823, 1013, 1018, 107, 236770, 236761, 5213, 236770, 236771, 236772, 236855, 19419, 8708, 568, 236778, 236771, 236778, 236800, 62902, 138, 107, 139, 236772, 5213, 3682, 113883, 66515, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 52111, 236743, 236778, 236771, 236778, 236800, 19419, 8708, 5457, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236800, 236832, 236819, 236819, 236825, 236786, 236771, 236771, 236771, 236771, 236771, 236800, 236832, 236819, 236819, 236825, 236778, 236800, 236771, 236771, 236771, 236771, 236810, 236812, 236786, 236760, 236772, 236778, 236771, 236778, 236800, 236770, 236778, 236800, 236770, 236761, 34723, 236768, 138, 108, 236778, 236761, 5213, 236770, 236771, 236772, 236935, 63919, 8708, 568, 236935, 236770, 236743, 236778, 236771, 236778, 236812, 62902, 138, 107, 139, 236772, 5213, 3682, 113883, 66515, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236800, 236770, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 52111, 1366, 236770, 236743, 236778, 236771, 236778, 236812, 8708, 5457, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236800, 236832, 236819, 236819, 236825, 236786, 236771, 236771, 236771, 236771, 236771, 236800, 236832, 236819, 236819, 236825, 236778, 236812, 236771, 236771, 236771, 236771, 236778, 236800, 236786, 236760, 236772, 236778, 236771, 236778, 236812, 236771, 236800, 236800, 236770, 236761, 34723, 236768, 138, 108, 236800, 236761, 5213, 236828, 236772, 236855, 12683, 31698, 8708, 1018, 138, 107, 139, 236772, 5213, 3682, 113883, 66515, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 138, 107, 139, 236772, 5213, 6759, 66515, 870, 52111, 236743, 236828, 236772, 236855, 8708, 5457, 2574, 1411, 2769, 236761, 4706, 236761, 12561, 236786, 169197, 236786, 524, 5359, 236786, 1516, 236786, 236800, 236832, 236819, 236819, 236825, 236786, 236771, 236771, 236771, 236771, 236771, 236800, 236832, 236819, 236819, 236825, 236778, 236812, 236771, 236771, 236771, 236771, 236812, 236810, 236786, 236760, 236772, 236778, 236771, 236778, 236812, 236771, 236810, 236770, 236810, 236761, 34723, 236768, 138, 108, 7243, 108, 10354, 5213, 47619, 7074, 580, 68449, 20467, 10358, 1018, 107, 236770, 236761, 5213, 236840, 818, 36630, 529, 506, 68449, 20467, 236787, 4934, 16103, 1929, 531, 16455, 83436, 5457, 2574, 1411, 8358, 236761, 854, 62902, 138, 107, 139, 236772, 5213, 5825, 66515, 808, 48930, 18514, 10358, 9352, 236829, 568, 27393, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 139, 236772, 5213, 24355, 66515, 54751, 14728, 24637, 699, 3413, 3719, 568, 52111, 1929, 236768, 531, 4532, 15620, 13862, 532, 910, 61269, 18506, 236761, 138, 108, 236778, 236761, 5213, 236840, 100368, 8921, 48602, 528, 3331, 35485, 236787, 91468, 27506, 532, 16103, 236789, 236751, 19380, 7708, 28801, 5457, 2574, 1411, 8358, 236761, 854, 62902, 138, 107, 139, 236772, 5213, 5825, 66515, 808, 29399, 529, 19380, 28917, 236829, 568, 27393, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 139, 236772, 5213, 24355, 66515, 70731, 10616, 36253, 532, 14971, 8798, 1534, 27506, 532, 16103, 528, 43167, 236743, 236778, 236771, 594, 236772, 33201, 11675, 236761, 138, 108, 236800, 236761, 5213, 236840, 3910, 27847, 3331, 7803, 92271, 2015, 13806, 68449, 12464, 5457, 2574, 1411, 8358, 236761, 854, 62902, 138, 107, 139, 236772, 5213, 5825, 66515, 808, 80401, 10950, 236829, 568, 27393, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 138, 107, 139, 236772, 5213, 24355, 66515, 11873, 2985, 1217, 3649, 236743, 236770, 236819, 236771, 236771, 236751, 1702, 12466, 1573, 16236, 15620, 2913, 236761, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 573, 64469, 55302, 1018, 107, 236772, 44906, 16103, 532, 27506, 89707, 531, 8701, 15067, 528, 10471, 236764, 630, 236880, 236796, 17461, 236764, 532, 14971, 24637, 568, 236744, 236761, 236759, 1126, 15620, 22109, 769, 138, 107, 236772, 6890, 506, 4668, 10308, 531, 58344, 969, 910, 8459, 160499, 532, 3205, 11858, 71884, 531, 4532, 67966, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 19276, 3671, 529, 3530, 89707, 653, 10308, 236888, 106, 107, 105, 2364, 107, 2094, 563, 7516, 2561, 531, 9530, 506, 623, 14075, 14019, 236775, 169266, 236761, 3792, 236858, 236751, 96596, 506, 3671, 236787, 236743, 236770, 236761, 5213, 30092, 611, 10769, 27506, 532, 16103, 236858, 236751, 630, 236880, 236796, 17461, 528, 5898, 11182, 568, 22486, 236751, 236768, 1699, 910, 236743, 236778, 236771, 236778, 236800, 236743, 236770, 236771, 236772, 236855, 7248, 236881, 1018, 39799, 236764, 8430, 9732, 573, 236787, 753, 12613, 630, 236880, 236796, 11704, 568, 495, 23058, 236768, 753, 70231, 28606, 531, 116629, 236786, 165944, 14896, 753, 47746, 7675, 573, 15620, 3719, 90353, 236743, 236778, 236761, 5213, 12721, 236764, 699, 506, 74063, 4668, 10308, 236764, 1451, 611, 49573, 1217, 16103, 1929, 236858, 236751, 14510, 1757, 36253, 568, 236770, 236819, 236770, 236771, 236751, 236772, 236770, 236819, 236778, 236771, 236751, 236768, 659, 1646, 544, 106418, 528, 4532, 15620, 11675, 236881, 1018, 669, 808, 29399, 529, 19380, 28917, 236829, 4676, 4547, 33466, 580, 672, 236761, 1174, 795, 1601, 506, 19717, 4988, 1982, 4463, 1534, 11858, 8459, 11298, 532, 1873, 29913, 236761, 3792, 786, 1281, 768, 506, 6436, 1202, 68657, 236888, 106, 107, 105, 4368, 107, 236777, 3914, 5467, 8430, 3530, 9732, 699, 23199, 89707, 653, 4668, 10308, 1699, 506, 1873, 6436, 236761, 669, 5213, 14973, 236779, 4706, 236779, 3267, 1013, 1018, 5904, 1186, 4728, 22628, 28436, 532, 9851, 236764, 711, 506, 2587, 1816, 653, 45271, 4867, 1262, 236761, 21325, 236764, 5213, 15768, 236779, 12959, 1018, 7623, 19293, 236786, 114687, 695, 840, 711, 9813, 4676, 3004, 236761, 2282, 18840, 630, 236880, 236796, 75043, 653, 11858, 183927, 847, 236764, 611, 1093, 1202, 531, 236787, 108, 236770, 236761, 5213, 30852, 506, 2587, 236743, 236770, 236771, 236772, 236855, 7248, 1018, 568, 15218, 506, 9851, 3847, 6517, 236768, 531, 24473, 8430, 630, 236880, 236796, 9732, 532, 15620, 11298, 236761, 138, 107, 236778, 236761, 5213, 11942, 506, 2587, 1816, 529, 506, 808, 29399, 529, 19380, 28917, 236829, 4676, 1018, 573, 9813, 3671, 529, 16103, 1929, 236858, 236751, 4532, 22327, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236772, 59336, 3927, 3755, 653, 10458, 2351, 506, 236743, 236770, 236771, 236772, 104860, 531, 29888, 630, 236880, 236796, 1262, 236881, 138, 107, 236772, 10867, 688, 506, 4668, 3927, 531, 56856, 10308, 607, 19276, 11858, 3671, 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, 236777, 1202, 1601, 54909, 53871, 3004, 573, 496, 861, 4071, 236772, 216935, 1960, 4317, 236761, 3792, 236789, 236751, 1502, 684, 16329, 1041, 3577, 53871, 8781, 4588, 531, 1460, 837, 49115, 236772, 10619, 4071, 236772, 216935, 31713, 564, 236789, 560, 10683, 1024, 506, 1518, 236761, 6890, 506, 15345, 623, 2023, 33506, 105411, 832, 7750, 236775, 573, 506, 8781, 38485, 236761, 1637, 600, 4038, 236789, 236745, 994, 1027, 7798, 4071, 236772, 216935, 31713, 236764, 2056, 32187, 672, 3530, 9987, 5853, 564, 5630, 16011, 236787, 623, 236832, 236778, 236812, 236828, 236819, 236800, 236810, 236770, 236771, 236819, 236828, 236778, 236800, 236771, 236770, 236778, 236800, 236812, 3056, 13472, 236764, 10769, 672, 607, 60194, 4071, 236772, 216935, 3004, 684, 16329, 4803, 4588, 580, 506, 8781, 623, 60891, 894, 2694, 6654, 236775, 753, 564, 1751, 901, 236789, 500, 496, 43365, 528, 672, 36989, 236761, 3792, 786, 1281, 768, 611, 5524, 1027, 6582, 10842, 607, 1239, 4889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 2023, 33506, 105411, 832, 7750, 827, 623, 43852, 236779, 24619, 1083, 78493, 3147, 236779, 1201, 1083, 623, 105411, 3999, 12713, 236772, 894, 2694, 72627, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236778, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 10475, 236779, 2861, 1083, 236743, 236812, 236778, 1263, 3714, 3147, 236779, 1201, 1083, 623, 147398, 224652, 103486, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236778, 236828, 236774, 236770, 236812, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 10475, 236779, 2861, 1083, 236743, 236778, 236832, 104960, 623, 43852, 236779, 62878, 1083, 78493, 10475, 236779, 547, 1083, 623, 236832, 236778, 236812, 236828, 236819, 236800, 236810, 236770, 236771, 236819, 236828, 236778, 236800, 236771, 236770, 236778, 236800, 236812, 827, 623, 7777, 1083, 623, 42956, 61415, 19871, 12713, 236772, 894, 2694, 15806, 753, 56243, 10297, 827, 623, 21452, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 236774, 236770, 236770, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 10475, 236779, 547, 1083, 623, 236828, 236819, 236778, 236800, 236812, 236810, 236832, 236825, 236771, 236770, 236778, 236800, 236812, 236810, 236771, 236819, 236828, 236832, 827, 623, 7777, 1083, 623, 193082, 19871, 669, 1992, 154649, 2025, 72627, 827, 623, 21452, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236771, 236800, 236774, 236771, 236819, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 56652, 1083, 78493, 10475, 236779, 547, 1083, 623, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236771, 236819, 236828, 827, 623, 7777, 1083, 623, 32899, 12713, 236772, 894, 2694, 50687, 49133, 827, 623, 73825, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236770, 236825, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 81083, 1083, 3714, 43852, 236779, 76647, 1083, 236743, 236770, 236828, 236819, 236764, 623, 24619, 236779, 206815, 1083, 236743, 236770, 236778, 236764, 623, 26329, 236779, 12901, 1083, 236743, 236832, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 60891, 894, 2694, 6654, 827, 623, 43852, 236779, 24619, 1083, 78493, 3147, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 827, 623, 3250, 1083, 623, 32899, 12713, 236772, 894, 2694, 72627, 827, 623, 62878, 236779, 2861, 1083, 236743, 236770, 236812, 236810, 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, 23179, 3714, 3147, 236779, 547, 1083, 623, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 3250, 1083, 623, 11349, 8040, 6203, 22229, 827, 623, 62878, 236779, 2861, 1083, 236743, 236828, 236819, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236770, 236771, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 43852, 236779, 62878, 1083, 78493, 10475, 236779, 547, 1083, 623, 236832, 236778, 236812, 236828, 236819, 236800, 236810, 236770, 236771, 236819, 236828, 236778, 236800, 236771, 236770, 236778, 236800, 236812, 827, 623, 3250, 1083, 623, 231047, 800, 12713, 236772, 894, 2694, 15806, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 189067, 236761, 854, 236786, 10475, 236770, 236761, 4034, 827, 623, 7777, 1083, 623, 193082, 7972, 58775, 11803, 607, 191290, 8583, 8214, 827, 623, 92506, 1083, 3714, 177142, 1083, 236743, 236778, 236812, 236771, 236771, 236764, 623, 26329, 1083, 236743, 236828, 236819, 5237, 3714, 10475, 236779, 547, 1083, 623, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 827, 623, 3250, 1083, 623, 106985, 22526, 6687, 21331, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 189067, 236761, 854, 236786, 10475, 236778, 236761, 4034, 827, 623, 7777, 1083, 623, 32899, 4071, 236772, 216935, 9535, 573, 50415, 827, 623, 92506, 1083, 3714, 177142, 1083, 236743, 236770, 236770, 236778, 236771, 236771, 236764, 623, 26329, 1083, 236743, 236778, 236770, 236810, 1807, 1604, 623, 11622, 236779, 29263, 1083, 3714, 6725, 236779, 62878, 1083, 236743, 236800, 236778, 236832, 236764, 623, 76647, 1083, 236743, 236828, 236819, 236778, 236771, 236771, 236764, 623, 71524, 1083, 236743, 236770, 236778, 236764, 623, 18553, 236779, 71832, 236779, 177142, 1083, 236743, 236770, 236812, 236810, 236771, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 822, 53871, 2958, 236787, 108, 236770, 236761, 5213, 11069, 29520, 23195, 568, 2023, 33506, 105411, 832, 7750, 1473, 1018, 107, 236772, 1599, 236789, 560, 10683, 236743, 236778, 49115, 4071, 236772, 216935, 31713, 2440, 506, 3530, 5853, 623, 236832, 236778, 236812, 236828, 236819, 236800, 236810, 236770, 236771, 236819, 236828, 236778, 236800, 236771, 236770, 236778, 236800, 236812, 236775, 568, 42956, 61415, 19871, 12713, 236772, 894, 2694, 15806, 236768, 107, 236772, 1599, 4883, 236743, 236778, 7798, 19059, 236787, 623, 105411, 3999, 12713, 236772, 894, 2694, 72627, 236775, 568, 236812, 236778, 31713, 236768, 532, 623, 147398, 224652, 103486, 236775, 568, 236778, 236832, 31713, 236768, 107, 236772, 34980, 4588, 3831, 2142, 528, 29038, 7972, 22888, 532, 11285, 11803, 108, 236778, 236761, 5213, 62006, 2168, 13768, 568, 60891, 894, 2694, 6654, 1473, 1018, 107, 236772, 236743, 236778, 236781, 919, 14076, 9998, 607, 236743, 236828, 236819, 236761, 236778, 236767, 23073, 7728, 822, 236743, 236770, 236828, 236819, 4803, 23073, 107, 236772, 8231, 14980, 9987, 236787, 623, 106985, 22526, 6687, 21331, 236775, 607, 236743, 236770, 236770, 236764, 236778, 236771, 236771, 32635, 568, 236778, 236812, 2929, 32635, 578, 236743, 236812, 236832, 236771, 236786, 1496, 236768, 107, 236772, 9963, 623, 32899, 12713, 236772, 894, 2694, 72627, 236775, 3905, 815, 236743, 236770, 236812, 236810, 31713, 10448, 6376, 107, 236772, 5180, 10683, 9987, 623, 236832, 236778, 236812, 236828, 236819, 236800, 236810, 236770, 236771, 236819, 236828, 236778, 236800, 236771, 236770, 236778, 236800, 236812, 236775, 7412, 528, 910, 4803, 31713, 2311, 236764, 607, 236743, 236778, 236764, 236812, 236771, 236771, 32635, 108, 1018, 232944, 76374, 53121, 107, 236772, 166858, 4071, 236772, 216935, 3004, 6757, 236743, 236778, 236772, 236800, 236781, 919, 15154, 1056, 9292, 607, 16085, 236786, 30466, 4820, 107, 236772, 669, 7659, 9987, 623, 236832, 236778, 236812, 236828, 236819, 236800, 236810, 236770, 236771, 236819, 236828, 236778, 236800, 236771, 236770, 236778, 236800, 236812, 236775, 3831, 4071, 236772, 1749, 12056, 1534, 822, 9998, 532, 26694, 107, 236772, 5180, 36989, 3213, 568, 45737, 3999, 236768, 7728, 910, 25898, 4532, 4313, 14004, 29482, 3435, 108, 31336, 564, 18840, 506, 3530, 9987, 623, 236832, 236778, 236812, 236828, 236819, 236800, 236810, 236770, 236771, 236819, 236828, 236778, 236800, 236771, 236770, 236778, 236800, 236812, 236775, 528, 8052, 531, 3050, 1061, 24711, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 54909, 53871, 3004, 573, 496, 861, 4071, 236772, 216935, 1960, 4317, 236761, 3792, 236789, 236751, 1502, 684, 16329, 1041, 3577, 53871, 8781, 4588, 531, 1460, 837, 49115, 236772, 10619, 4071, 236772, 216935, 31713, 564, 236789, 560, 10683, 1024, 506, 1518, 236761, 6890, 506, 15345, 623, 2023, 33506, 105411, 832, 7750, 236775, 573, 506, 8781, 38485, 236761, 1637, 600, 4038, 236789, 236745, 994, 1027, 7798, 4071, 236772, 216935, 31713, 236764, 2056, 32187, 672, 3530, 9987, 5853, 564, 5630, 16011, 236787, 623, 236832, 236778, 236812, 236828, 236819, 236800, 236810, 236770, 236771, 236819, 236828, 236778, 236800, 236771, 236770, 236778, 236800, 236812, 3056, 13472, 236764, 10769, 672, 607, 60194, 4071, 236772, 216935, 3004, 684, 16329, 4803, 4588, 580, 506, 8781, 623, 60891, 894, 2694, 6654, 236775, 753, 564, 1751, 901, 236789, 500, 496, 43365, 528, 672, 36989, 236761, 3792, 786, 1281, 768, 611, 5524, 1027, 6582, 10842, 607, 1239, 4889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 2023, 33506, 105411, 832, 7750, 827, 623, 43852, 236779, 24619, 1083, 78493, 3147, 236779, 1201, 1083, 623, 105411, 3999, 12713, 236772, 894, 2694, 72627, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236778, 236774, 236771, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 10475, 236779, 2861, 1083, 236743, 236812, 236778, 1263, 3714, 3147, 236779, 1201, 1083, 623, 147398, 224652, 103486, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236778, 236828, 236774, 236770, 236812, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 10475, 236779, 2861, 1083, 236743, 236778, 236832, 104960, 623, 43852, 236779, 62878, 1083, 78493, 10475, 236779, 547, 1083, 623, 236832, 236778, 236812, 236828, 236819, 236800, 236810, 236770, 236771, 236819, 236828, 236778, 236800, 236771, 236770, 236778, 236800, 236812, 827, 623, 7777, 1083, 623, 42956, 61415, 19871, 12713, 236772, 894, 2694, 15806, 753, 56243, 10297, 827, 623, 21452, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236770, 236810, 236774, 236770, 236770, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 10475, 236779, 547, 1083, 623, 236828, 236819, 236778, 236800, 236812, 236810, 236832, 236825, 236771, 236770, 236778, 236800, 236812, 236810, 236771, 236819, 236828, 236832, 827, 623, 7777, 1083, 623, 193082, 19871, 669, 1992, 154649, 2025, 72627, 827, 623, 21452, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236771, 236800, 236774, 236771, 236819, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 56652, 1083, 78493, 10475, 236779, 547, 1083, 623, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236771, 236819, 236828, 827, 623, 7777, 1083, 623, 32899, 12713, 236772, 894, 2694, 50687, 49133, 827, 623, 73825, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236770, 236825, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 81083, 1083, 3714, 43852, 236779, 76647, 1083, 236743, 236770, 236828, 236819, 236764, 623, 24619, 236779, 206815, 1083, 236743, 236770, 236778, 236764, 623, 26329, 236779, 12901, 1083, 236743, 236832, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 60891, 894, 2694, 6654, 827, 623, 43852, 236779, 24619, 1083, 78493, 3147, 236779, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 827, 623, 3250, 1083, 623, 32899, 12713, 236772, 894, 2694, 72627, 827, 623, 62878, 236779, 2861, 1083, 236743, 236770, 236812, 236810, 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, 23179, 3714, 3147, 236779, 547, 1083, 623, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 3250, 1083, 623, 11349, 8040, 6203, 22229, 827, 623, 62878, 236779, 2861, 1083, 236743, 236828, 236819, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236770, 236771, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 43852, 236779, 62878, 1083, 78493, 10475, 236779, 547, 1083, 623, 236832, 236778, 236812, 236828, 236819, 236800, 236810, 236770, 236771, 236819, 236828, 236778, 236800, 236771, 236770, 236778, 236800, 236812, 827, 623, 3250, 1083, 623, 231047, 800, 12713, 236772, 894, 2694, 15806, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 189067, 236761, 854, 236786, 10475, 236770, 236761, 4034, 827, 623, 7777, 1083, 623, 193082, 7972, 58775, 11803, 607, 191290, 8583, 8214, 827, 623, 92506, 1083, 3714, 177142, 1083, 236743, 236778, 236812, 236771, 236771, 236764, 623, 26329, 1083, 236743, 236828, 236819, 5237, 3714, 10475, 236779, 547, 1083, 623, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 827, 623, 3250, 1083, 623, 106985, 22526, 6687, 21331, 827, 623, 3304, 236779, 2451, 1083, 623, 2574, 1411, 189067, 236761, 854, 236786, 10475, 236778, 236761, 4034, 827, 623, 7777, 1083, 623, 32899, 4071, 236772, 216935, 9535, 573, 50415, 827, 623, 92506, 1083, 3714, 177142, 1083, 236743, 236770, 236770, 236778, 236771, 236771, 236764, 623, 26329, 1083, 236743, 236778, 236770, 236810, 1807, 1604, 623, 11622, 236779, 29263, 1083, 3714, 6725, 236779, 62878, 1083, 236743, 236800, 236778, 236832, 236764, 623, 76647, 1083, 236743, 236828, 236819, 236778, 236771, 236771, 236764, 623, 71524, 1083, 236743, 236770, 236778, 236764, 623, 18553, 236779, 71832, 236779, 177142, 1083, 236743, 236770, 236812, 236810, 236771, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 822, 53871, 2958, 236787, 108, 236770, 236761, 5213, 11069, 29520, 23195, 568, 2023, 33506, 105411, 832, 7750, 1473, 1018, 107, 236772, 1599, 236789, 560, 10683, 236743, 236778, 49115, 4071, 236772, 216935, 31713, 2440, 506, 3530, 5853, 623, 236832, 236778, 236812, 236828, 236819, 236800, 236810, 236770, 236771, 236819, 236828, 236778, 236800, 236771, 236770, 236778, 236800, 236812, 236775, 568, 42956, 61415, 19871, 12713, 236772, 894, 2694, 15806, 236768, 107, 236772, 1599, 4883, 236743, 236778, 7798, 19059, 236787, 623, 105411, 3999, 12713, 236772, 894, 2694, 72627, 236775, 568, 236812, 236778, 31713, 236768, 532, 623, 147398, 224652, 103486, 236775, 568, 236778, 236832, 31713, 236768, 107, 236772, 34980, 4588, 3831, 2142, 528, 29038, 7972, 22888, 532, 11285, 11803, 108, 236778, 236761, 5213, 62006, 2168, 13768, 568, 60891, 894, 2694, 6654, 1473, 1018, 107, 236772, 236743, 236778, 236781, 919, 14076, 9998, 607, 236743, 236828, 236819, 236761, 236778, 236767, 23073, 7728, 822, 236743, 236770, 236828, 236819, 4803, 23073, 107, 236772, 8231, 14980, 9987, 236787, 623, 106985, 22526, 6687, 21331, 236775, 607, 236743, 236770, 236770, 236764, 236778, 236771, 236771, 32635, 568, 236778, 236812, 2929, 32635, 578, 236743, 236812, 236832, 236771, 236786, 1496, 236768, 107, 236772, 9963, 623, 32899, 12713, 236772, 894, 2694, 72627, 236775, 3905, 815, 236743, 236770, 236812, 236810, 31713, 10448, 6376, 107, 236772, 5180, 10683, 9987, 623, 236832, 236778, 236812, 236828, 236819, 236800, 236810, 236770, 236771, 236819, 236828, 236778, 236800, 236771, 236770, 236778, 236800, 236812, 236775, 7412, 528, 910, 4803, 31713, 2311, 236764, 607, 236743, 236778, 236764, 236812, 236771, 236771, 32635, 108, 1018, 232944, 76374, 53121, 107, 236772, 166858, 4071, 236772, 216935, 3004, 6757, 236743, 236778, 236772, 236800, 236781, 919, 15154, 1056, 9292, 607, 16085, 236786, 30466, 4820, 107, 236772, 669, 7659, 9987, 623, 236832, 236778, 236812, 236828, 236819, 236800, 236810, 236770, 236771, 236819, 236828, 236778, 236800, 236771, 236770, 236778, 236800, 236812, 236775, 3831, 4071, 236772, 1749, 12056, 1534, 822, 9998, 532, 26694, 107, 236772, 5180, 36989, 3213, 568, 45737, 3999, 236768, 7728, 910, 25898, 4532, 4313, 14004, 29482, 3435, 108, 31336, 564, 18840, 506, 3530, 9987, 623, 236832, 236778, 236812, 236828, 236819, 236800, 236810, 236770, 236771, 236819, 236828, 236778, 236800, 236771, 236770, 236778, 236800, 236812, 236775, 528, 8052, 531, 3050, 1061, 24711, 236881, 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, 35322, 4867, 9732, 573, 1041, 1960, 2731, 531, 1932, 496, 2147, 5663, 11682, 5428, 236761, 564, 1202, 531, 1861, 506, 27712, 26847, 5384, 528, 1800, 16688, 532, 5267, 1183, 236764, 2440, 15130, 53892, 236761, 1701, 2591, 236764, 564, 1202, 531, 7352, 236743, 236832, 236810, 236771, 236771, 236771, 23058, 1131, 1061, 83096, 10065, 236761, 3153, 236764, 564, 236789, 236757, 711, 2889, 1217, 531, 6518, 672, 9668, 573, 5125, 13049, 236761, 3199, 611, 1161, 506, 974, 236779, 1005, 236779, 2543, 236779, 5640, 5904, 531, 1601, 786, 7352, 672, 1548, 1131, 4171, 607, 506, 4338, 15130, 53892, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1005, 1083, 623, 1869, 83481, 236772, 21716, 13460, 11092, 532, 236743, 236771, 236771, 236786, 236770, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 818, 83096, 10065, 529, 5213, 236832, 236810, 236764, 236771, 236771, 236771, 23058, 1018, 528, 5422, 563, 236787, 138, 107, 1018, 236775, 1869, 83481, 236772, 21716, 13460, 11092, 532, 236743, 236771, 236771, 236786, 236770, 236771, 236771, 236775, 1018, 138, 108, 2094, 6518, 563, 9273, 573, 5125, 4867, 13049, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 63680, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 35322, 4867, 9732, 573, 1041, 1960, 2731, 531, 1932, 496, 2147, 5663, 11682, 5428, 236761, 564, 1202, 531, 1861, 506, 27712, 26847, 5384, 528, 1800, 16688, 532, 5267, 1183, 236764, 2440, 15130, 53892, 236761, 1701, 2591, 236764, 564, 1202, 531, 7352, 236743, 236832, 236810, 236771, 236771, 236771, 23058, 1131, 1061, 83096, 10065, 236761, 3153, 236764, 564, 236789, 236757, 711, 2889, 1217, 531, 6518, 672, 9668, 573, 5125, 13049, 236761, 3199, 611, 1161, 506, 974, 236779, 1005, 236779, 2543, 236779, 5640, 5904, 531, 1601, 786, 7352, 672, 1548, 1131, 4171, 607, 506, 4338, 15130, 53892, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1005, 1083, 623, 1869, 83481, 236772, 21716, 13460, 11092, 532, 236743, 236771, 236771, 236786, 236770, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 818, 83096, 10065, 529, 5213, 236832, 236810, 236764, 236771, 236771, 236771, 23058, 1018, 528, 5422, 563, 236787, 138, 107, 1018, 236775, 1869, 83481, 236772, 21716, 13460, 11092, 532, 236743, 236771, 236771, 236786, 236770, 236771, 236771, 236775, 1018, 138, 108, 2094, 6518, 563, 9273, 573, 5125, 4867, 13049, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 63680, 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, 4875, 531, 3371, 607, 2263, 11421, 528, 159546, 712, 1048, 1343, 10365, 531, 41049, 580, 496, 3399, 1610, 2203, 19240, 531, 1023, 3577, 3019, 1960, 236761, 28344, 611, 1502, 684, 19460, 573, 4913, 118252, 4596, 531, 756, 236791, 2564, 712, 1048, 1610, 236789, 653, 756, 38289, 234739, 39339, 103709, 564, 236858, 236753, 1133, 531, 8701, 2307, 118252, 600, 2263, 11421, 653, 48030, 1161, 834, 692, 740, 3328, 1023, 43285, 11974, 236761, 6890, 506, 118252, 236779, 2305, 5904, 607, 506, 7609, 756, 236791, 2564, 712, 1048, 1610, 10092, 236789, 532, 994, 506, 1903, 236743, 236770, 236771, 2536, 607, 910, 24711, 19455, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 137112, 4073, 1083, 78493, 1201, 1083, 13659, 236791, 2564, 712, 1048, 9175, 30418, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236810, 236828, 236778, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 236791, 2564, 712, 1048, 109278, 827, 13659, 9175, 30418, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236800, 236761, 236810, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236778, 236770, 236810, 5237, 3714, 1201, 1083, 13659, 38289, 45060, 1099, 70980, 827, 623, 10494, 236779, 2861, 1083, 236743, 236819, 236812, 236832, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 47204, 25907, 10958, 827, 13659, 46797, 9175, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236778, 236761, 236828, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236770, 236800, 236778, 5237, 3714, 1201, 1083, 13659, 236791, 2564, 712, 1048, 75455, 9521, 92699, 827, 623, 10494, 236779, 2861, 1083, 236743, 236825, 236771, 236770, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 13149, 140226, 827, 13659, 46640, 9175, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236812, 236761, 236770, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236828, 236828, 5237, 3714, 1201, 1083, 13659, 45060, 1099, 30532, 109278, 827, 623, 10494, 236779, 2861, 1083, 236743, 236812, 236800, 236800, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 42804, 3112, 109278, 827, 13659, 236791, 2564, 712, 1048, 53783, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236778, 236761, 236812, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236825, 236832, 5237, 3714, 1201, 1083, 13659, 236791, 2564, 712, 1048, 19118, 9175, 827, 623, 10494, 236779, 2861, 1083, 236743, 236800, 236778, 236819, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 40703, 9175, 827, 13659, 236792, 1762, 8410, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236800, 236761, 236819, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236810, 236810, 5237, 3714, 1201, 1083, 13659, 23425, 21728, 140226, 827, 623, 10494, 236779, 2861, 1083, 236743, 236778, 236828, 236832, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 96019, 5537, 109278, 827, 13659, 96226, 722, 22908, 2031, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236778, 236761, 236778, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236812, 236819, 5237, 3714, 1201, 1083, 13659, 236791, 2564, 712, 1048, 61549, 43146, 827, 623, 10494, 236779, 2861, 1083, 236743, 236778, 236771, 236812, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 9175, 149293, 827, 13659, 13149, 79262, 20143, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236800, 236761, 236800, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236800, 236832, 5237, 3714, 1201, 1083, 13659, 38289, 45060, 1099, 902, 64521, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236828, 236819, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 46797, 125129, 827, 13659, 70980, 139692, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236778, 236761, 236832, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236800, 236770, 5237, 3714, 1201, 1083, 13659, 236791, 2564, 712, 1048, 140226, 206958, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236825, 236832, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 56051, 22218, 827, 13659, 142031, 1280, 9175, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236812, 236761, 236810, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236778, 236819, 5237, 3714, 1201, 1083, 13659, 146167, 109278, 236791, 2564, 712, 1048, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236778, 236778, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 236791, 2564, 712, 1048, 16146, 827, 13659, 111534, 202880, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236800, 236761, 236771, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236778, 236800, 1807, 1604, 623, 26514, 236779, 80284, 1083, 3714, 6725, 236779, 137112, 4073, 236779, 79082, 8562, 1083, 236743, 236778, 236832, 236828, 236764, 623, 28128, 236779, 92506, 236779, 4720, 1083, 623, 236800, 236761, 236770, 70887, 623, 145644, 236779, 23735, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236935, 236770, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236770, 236771, 118252, 4596, 531, 623, 236791, 2564, 712, 1048, 1610, 10092, 236775, 607, 910, 24711, 19455, 236787, 108, 236770, 236761, 5213, 236865, 236791, 2564, 712, 1048, 9175, 30418, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236770, 236764, 236810, 236828, 236778, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236800, 236761, 236810, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 236791, 2564, 712, 1048, 109278, 236764, 997, 9175, 30418, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236778, 236770, 236810, 138, 108, 236778, 236761, 5213, 236865, 38289, 45060, 1099, 70980, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236819, 236812, 236832, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236778, 236761, 236828, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 47204, 25907, 10958, 236764, 997, 46797, 9175, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236770, 236800, 236778, 138, 108, 236800, 236761, 5213, 236865, 236791, 2564, 712, 1048, 75455, 9521, 92699, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236825, 236771, 236770, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236812, 236761, 236770, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 13149, 140226, 236764, 997, 46640, 9175, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236828, 236828, 138, 108, 236812, 236761, 5213, 236865, 45060, 1099, 30532, 109278, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236812, 236800, 236800, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236778, 236761, 236812, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 42804, 3112, 109278, 236764, 997, 236791, 2564, 712, 1048, 53783, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236825, 236832, 138, 108, 236810, 236761, 5213, 236865, 236791, 2564, 712, 1048, 19118, 9175, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236800, 236778, 236819, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236800, 236761, 236819, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 40703, 9175, 236764, 997, 236792, 1762, 8410, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236810, 236810, 138, 108, 236825, 236761, 5213, 236865, 23425, 21728, 140226, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236778, 236828, 236832, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236778, 236761, 236778, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 96019, 5537, 109278, 236764, 997, 96226, 722, 22908, 2031, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236812, 236819, 138, 108, 236832, 236761, 5213, 236865, 236791, 2564, 712, 1048, 61549, 43146, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236778, 236771, 236812, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236800, 236761, 236800, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 9175, 149293, 236764, 997, 13149, 79262, 20143, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236800, 236832, 138, 108, 236828, 236761, 5213, 236865, 38289, 45060, 1099, 902, 64521, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236770, 236828, 236819, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236778, 236761, 236832, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 46797, 125129, 236764, 997, 70980, 139692, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236800, 236770, 138, 108, 236819, 236761, 5213, 236865, 236791, 2564, 712, 1048, 140226, 206958, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236770, 236825, 236832, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236812, 236761, 236810, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 56051, 22218, 236764, 997, 142031, 1280, 9175, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236778, 236819, 138, 108, 236770, 236771, 236761, 5213, 236865, 146167, 109278, 236791, 2564, 712, 1048, 1018, 138, 107, 140, 236772, 11701, 1527, 236787, 236743, 236770, 236778, 236778, 138, 107, 140, 236772, 63010, 3136, 236787, 236743, 236800, 236761, 236771, 236908, 138, 107, 140, 236772, 32114, 16616, 236787, 997, 236791, 2564, 712, 1048, 16146, 236764, 997, 111534, 202880, 138, 107, 140, 236772, 34980, 4009, 236787, 236743, 236778, 236800, 138, 108, 1018, 3503, 76374, 573, 98916, 53121, 138, 107, 236772, 30235, 580, 118252, 607, 1494, 15154, 6224, 236787, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 568, 236812, 236761, 236770, 11376, 532, 997, 236791, 2564, 712, 1048, 140226, 206958, 568, 236812, 236761, 236810, 37507, 138, 107, 236772, 70535, 4563, 236772, 15396, 16616, 51228, 236791, 2564, 712, 1048, 9175, 30418, 236764, 997, 236791, 2564, 712, 1048, 19118, 9175, 236768, 607, 92353, 5906, 51228, 38289, 45060, 1099, 70980, 236764, 997, 46797, 9175, 236768, 531, 3328, 1800, 2263, 11421, 532, 10092, 48030, 236761, 138, 107, 236772, 6890, 4596, 118252, 568, 236744, 236761, 236759, 1126, 997, 13149, 140226, 236764, 997, 46640, 9175, 236768, 531, 6778, 5370, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 11327, 3530, 20183, 653, 3004, 1208, 1239, 118252, 236888, 106, 107, 105, 2364, 107, 12879, 573, 506, 68324, 3671, 236888, 4224, 236764, 564, 236858, 236753, 1133, 531, 8701, 3530, 10365, 20183, 600, 22074, 1161, 1239, 118252, 236764, 4285, 1724, 528, 506, 1903, 15154, 30028, 1133, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 532, 997, 236791, 2564, 712, 1048, 140226, 206958, 236761, 28344, 611, 33205, 506, 236743, 236770, 236771, 1346, 4803, 12714, 1208, 1724, 1156, 118252, 1699, 506, 974, 236779, 16043, 236779, 2003, 236779, 137112, 4073, 5904, 236881, 564, 1461, 531, 18840, 506, 36291, 236858, 20183, 531, 1586, 2263, 11421, 236764, 77952, 236764, 653, 3399, 73696, 692, 1451, 41049, 607, 236761, 1701, 1546, 1868, 236764, 3204, 506, 15345, 236764, 4009, 1527, 236764, 532, 84014, 1527, 529, 506, 9827, 531, 56856, 1494, 236772, 62580, 13792, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7633, 1083, 78493, 2364, 1083, 3714, 11668, 1083, 623, 661, 2003, 156294, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236810, 236771, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236828, 236810, 236771, 236771, 1263, 623, 21151, 1083, 623, 162117, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 3124, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 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, 3714, 2364, 1083, 3714, 11668, 1083, 623, 236758, 2564, 712, 1048, 236779, 45134, 827, 623, 10494, 236779, 2861, 1083, 236743, 236800, 236778, 236771, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236778, 236832, 236771, 236771, 1263, 623, 21151, 1083, 623, 142031, 1194, 607, 2263, 11421, 528, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 50694, 138710, 236779, 236758, 2564, 827, 623, 10494, 236779, 2861, 1083, 236743, 236828, 236819, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236812, 236778, 236771, 236771, 1263, 623, 21151, 1083, 623, 97850, 30918, 12496, 528, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 6047, 3001, 236779, 26781, 827, 623, 10494, 236779, 2861, 1083, 236743, 236778, 236770, 236771, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236819, 236828, 236771, 236771, 1263, 623, 21151, 1083, 623, 4199, 19717, 8115, 20564, 528, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236812, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 30419, 661, 236779, 236758, 2564, 827, 623, 10494, 236779, 2861, 1083, 236743, 236825, 236832, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236800, 236770, 236771, 236771, 1263, 623, 21151, 1083, 623, 32051, 69552, 528, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236812, 236774, 236770, 236810, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 236758, 2564, 712, 1048, 236779, 180566, 827, 623, 10494, 236779, 2861, 1083, 236743, 236812, 236810, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236778, 236800, 236771, 236771, 1263, 623, 21151, 1083, 623, 15124, 522, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 11294, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236812, 236774, 236770, 236770, 236787, 236770, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 8819, 25154, 236779, 236758, 2564, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236771, 236778, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236810, 236825, 236771, 236771, 1263, 623, 21151, 1083, 623, 142031, 1280, 6347, 607, 1392, 661, 2003, 156294, 528, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236800, 236774, 236770, 236832, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 50694, 36895, 236779, 236758, 2564, 827, 623, 10494, 236779, 2861, 1083, 236743, 236832, 236828, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236825, 236832, 236771, 236771, 1263, 623, 21151, 1083, 623, 46640, 18669, 672, 8224, 528, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236800, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 236758, 2564, 236779, 33853, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236800, 236771, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236819, 236770, 236771, 236771, 1263, 623, 21151, 1083, 623, 2866, 236772, 165949, 529, 30918, 11381, 528, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236800, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 661, 20723, 236779, 236758, 2564, 827, 623, 10494, 236779, 2861, 1083, 236743, 236778, 236778, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236828, 236771, 236771, 1263, 623, 21151, 1083, 623, 96579, 1610, 3727, 20756, 699, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 4874, 2074, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236810, 236825, 236778, 236819, 236828, 236819, 236771, 236810, 236771, 236778, 236812, 236832, 827, 623, 5576, 236779, 18700, 1083, 1847, 236764, 623, 4818, 1083, 623, 680, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 7633, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236825, 236778, 236828, 236832, 236778, 236771, 236832, 827, 623, 21151, 1083, 623, 162117, 506, 28239, 997, 236791, 2564, 712, 1048, 140226, 206958, 8317, 3124, 41218, 623, 2364, 1083, 3714, 11668, 1083, 623, 661, 2003, 236804, 634, 1614, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236812, 236778, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236828, 236819, 236771, 236771, 1263, 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, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236800, 236778, 236828, 236819, 236812, 236810, 236770, 236771, 236819, 236828, 236832, 236825, 236810, 827, 623, 21151, 1083, 623, 142031, 1194, 607, 7646, 2263, 10592, 1343, 997, 236791, 2564, 712, 1048, 140226, 206958, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 2364, 1083, 3714, 11668, 1083, 623, 45134, 236779, 236758, 2564, 712, 1048, 827, 623, 10494, 236779, 2861, 1083, 236743, 236778, 236771, 236810, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236778, 236812, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236819, 236828, 236832, 236778, 236825, 236812, 236810, 236770, 236778, 236800, 236828, 236819, 236771, 827, 623, 21151, 1083, 623, 6845, 855, 1239, 19282, 4146, 699, 3124, 236789, 236751, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 212182, 41218, 623, 2364, 1083, 3714, 11668, 1083, 623, 50694, 236779, 236758, 2564, 712, 1048, 827, 623, 10494, 236779, 2861, 1083, 236743, 236828, 236819, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236825, 236832, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236800, 236778, 236770, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236771, 827, 623, 21151, 1083, 623, 4199, 30918, 16913, 528, 506, 997, 236791, 2564, 712, 1048, 140226, 206958, 12960, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 2364, 1083, 3714, 11668, 1083, 623, 236757, 1762, 236779, 47734, 827, 623, 10494, 236779, 2861, 1083, 236743, 236825, 236832, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236812, 236810, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236819, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236825, 236832, 236828, 236819, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 21151, 1083, 623, 134242, 2263, 44100, 1343, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 19898, 41218, 623, 2364, 1083, 3714, 11668, 1083, 623, 236758, 2564, 712, 1048, 236779, 906, 4853, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236770, 236778, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236819, 236828, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236828, 236787, 236770, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236778, 236800, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236771, 236819, 827, 623, 21151, 1083, 623, 97850, 8325, 41047, 236787, 1392, 661, 2003, 236804, 634, 1614, 528, 997, 236791, 2564, 712, 1048, 140226, 206958, 827, 623, 2364, 1083, 3714, 11668, 1083, 623, 661, 236779, 19720, 3223, 827, 623, 10494, 236779, 2861, 1083, 236743, 236832, 236828, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236810, 236825, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236832, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 827, 623, 21151, 1083, 623, 46640, 1610, 18669, 13922, 16922, 236888, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 827, 623, 2364, 1083, 3714, 11668, 1083, 623, 661, 236779, 2025, 22742, 236779, 236758, 2564, 827, 623, 10494, 236779, 2861, 1083, 236743, 236812, 236810, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236800, 236778, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236825, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236825, 236810, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 827, 623, 21151, 1083, 623, 211703, 2263, 10592, 1343, 997, 236791, 2564, 712, 1048, 140226, 206958, 52923, 41218, 623, 2364, 1083, 3714, 11668, 1083, 623, 26781, 236779, 236758, 2564, 712, 1048, 827, 623, 10494, 236779, 2861, 1083, 236743, 236819, 236810, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236832, 236828, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236810, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236832, 236825, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 827, 623, 21151, 1083, 623, 4199, 3295, 16058, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 672, 2069, 41218, 623, 2364, 1083, 3714, 11668, 1083, 623, 50694, 236779, 20746, 236779, 236758, 2564, 827, 623, 10494, 236779, 2861, 1083, 236743, 236825, 236800, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236812, 236819, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236812, 236787, 236770, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236828, 236819, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 827, 623, 21151, 1083, 623, 101255, 236772, 1437, 236772, 85151, 529, 3124, 236789, 236751, 997, 236791, 2564, 712, 1048, 140226, 206958, 4429, 8363, 621, 689, 236828, 236800, 236753, 236785, 689, 10676, 236828, 827, 623, 2364, 1083, 3714, 11668, 1083, 623, 14007, 236779, 236758, 2564, 712, 1048, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236800, 236771, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236770, 236778, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236800, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 4874, 236779, 2074, 236779, 547, 1083, 623, 170536, 35023, 20074, 236758, 236778, 236792, 236771, 236770, 236800, 236847, 61026, 236749, 236953, 43793, 10370, 236802, 236797, 236810, 236746, 118670, 236804, 236797, 236752, 177097, 236917, 236802, 211305, 236847, 236804, 236811, 236765, 236774, 236770, 236811, 236809, 236797, 236778, 236745, 236809, 236797, 236752, 236935, 236800, 236797, 79297, 236810, 236753, 118670, 79297, 236778, 236811, 191594, 236767, 236770, 236748, 236774, 8016, 236809, 236797, 236800, 61688, 236874, 236804, 236811, 236754, 165137, 175077, 236797, 236778, 236753, 236828, 13831, 236792, 236800, 2885, 236759, 236770, 236797, 51283, 236778, 32588, 236781, 236828, 236761, 236770, 236832, 236828, 236825, 236810, 236812, 236800, 236778, 236770, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 827, 623, 4818, 1083, 623, 680, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 53880, 3671, 529, 4803, 12714, 1208, 5213, 236865, 236791, 2564, 712, 1048, 75455, 9521, 92699, 1018, 532, 5213, 236865, 236791, 2564, 712, 1048, 140226, 206958, 125546, 2440, 2307, 19455, 573, 21558, 1494, 236772, 62580, 85505, 236787, 108, 7243, 108, 10354, 5213, 236865, 236791, 2564, 712, 1048, 75455, 9521, 92699, 34980, 49040, 1018, 107, 236909, 5213, 29338, 1018, 148, 236909, 5213, 14357, 4308, 1018, 1109, 5213, 27447, 616, 1018, 1109, 5213, 7118, 217360, 1018, 162, 236909, 107, 236909, 2819, 40686, 236909, 2819, 726, 236909, 2819, 236909, 2819, 2819, 40673, 236909, 107, 236909, 1610, 2003, 156294, 151, 236909, 236743, 236770, 236810, 236771, 150, 236909, 236743, 236828, 236764, 236810, 236771, 236771, 146, 236909, 98717, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 139, 236909, 107, 236909, 510, 2564, 712, 1048, 236779, 45134, 145, 236909, 236743, 236800, 236778, 236771, 150, 236909, 236743, 236770, 236778, 236764, 236832, 236771, 236771, 145, 236909, 40073, 1194, 607, 2263, 11421, 146, 236909, 107, 236909, 9578, 138710, 236779, 236758, 2564, 143, 236909, 236743, 236828, 236819, 151, 236909, 236743, 236812, 236764, 236778, 236771, 236771, 146, 236909, 40502, 30918, 12496, 158, 236909, 107, 236909, 2263, 3001, 236779, 26781, 142, 236909, 236743, 236778, 236770, 236771, 150, 236909, 236743, 236819, 236764, 236828, 236771, 236771, 146, 236909, 1799, 19717, 8115, 20564, 151, 236909, 107, 236909, 7363, 661, 236779, 236758, 2564, 147, 236909, 236743, 236825, 236832, 151, 236909, 236743, 236800, 236764, 236770, 236771, 236771, 146, 236909, 28776, 69552, 164, 236909, 107, 236909, 510, 2564, 712, 1048, 236779, 180566, 147, 236909, 236743, 236812, 236810, 151, 236909, 236743, 236778, 236764, 236800, 236771, 236771, 146, 236909, 21685, 522, 506, 47380, 11294, 144, 236909, 107, 236909, 11321, 25154, 236779, 236758, 2564, 146, 236909, 236743, 236770, 236771, 236778, 150, 236909, 236743, 236810, 236764, 236825, 236771, 236771, 146, 236909, 112200, 6347, 607, 1392, 661, 2003, 156294, 143, 236909, 107, 236909, 9578, 36895, 236779, 236758, 2564, 145, 236909, 236743, 236832, 236828, 151, 236909, 236743, 236825, 236764, 236832 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3371, 607, 2263, 11421, 528, 159546, 712, 1048, 1343, 10365, 531, 41049, 580, 496, 3399, 1610, 2203, 19240, 531, 1023, 3577, 3019, 1960, 236761, 28344, 611, 1502, 684, 19460, 573, 4913, 118252, 4596, 531, 756, 236791, 2564, 712, 1048, 1610, 236789, 653, 756, 38289, 234739, 39339, 103709, 564, 236858, 236753, 1133, 531, 8701, 2307, 118252, 600, 2263, 11421, 653, 48030, 1161, 834, 692, 740, 3328, 1023, 43285, 11974, 236761, 6890, 506, 118252, 236779, 2305, 5904, 607, 506, 7609, 756, 236791, 2564, 712, 1048, 1610, 10092, 236789, 532, 994, 506, 1903, 236743, 236770, 236771, 2536, 607, 910, 24711, 19455, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 137112, 4073, 1083, 78493, 1201, 1083, 13659, 236791, 2564, 712, 1048, 9175, 30418, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236810, 236828, 236778, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 236791, 2564, 712, 1048, 109278, 827, 13659, 9175, 30418, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236800, 236761, 236810, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236778, 236770, 236810, 5237, 3714, 1201, 1083, 13659, 38289, 45060, 1099, 70980, 827, 623, 10494, 236779, 2861, 1083, 236743, 236819, 236812, 236832, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 47204, 25907, 10958, 827, 13659, 46797, 9175, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236778, 236761, 236828, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236770, 236800, 236778, 5237, 3714, 1201, 1083, 13659, 236791, 2564, 712, 1048, 75455, 9521, 92699, 827, 623, 10494, 236779, 2861, 1083, 236743, 236825, 236771, 236770, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 13149, 140226, 827, 13659, 46640, 9175, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236812, 236761, 236770, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236828, 236828, 5237, 3714, 1201, 1083, 13659, 45060, 1099, 30532, 109278, 827, 623, 10494, 236779, 2861, 1083, 236743, 236812, 236800, 236800, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 42804, 3112, 109278, 827, 13659, 236791, 2564, 712, 1048, 53783, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236778, 236761, 236812, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236825, 236832, 5237, 3714, 1201, 1083, 13659, 236791, 2564, 712, 1048, 19118, 9175, 827, 623, 10494, 236779, 2861, 1083, 236743, 236800, 236778, 236819, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 40703, 9175, 827, 13659, 236792, 1762, 8410, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236800, 236761, 236819, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236810, 236810, 5237, 3714, 1201, 1083, 13659, 23425, 21728, 140226, 827, 623, 10494, 236779, 2861, 1083, 236743, 236778, 236828, 236832, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 96019, 5537, 109278, 827, 13659, 96226, 722, 22908, 2031, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236778, 236761, 236778, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236812, 236819, 5237, 3714, 1201, 1083, 13659, 236791, 2564, 712, 1048, 61549, 43146, 827, 623, 10494, 236779, 2861, 1083, 236743, 236778, 236771, 236812, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 9175, 149293, 827, 13659, 13149, 79262, 20143, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236800, 236761, 236800, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236800, 236832, 5237, 3714, 1201, 1083, 13659, 38289, 45060, 1099, 902, 64521, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236828, 236819, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 46797, 125129, 827, 13659, 70980, 139692, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236778, 236761, 236832, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236800, 236770, 5237, 3714, 1201, 1083, 13659, 236791, 2564, 712, 1048, 140226, 206958, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236825, 236832, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 56051, 22218, 827, 13659, 142031, 1280, 9175, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236812, 236761, 236810, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236778, 236819, 5237, 3714, 1201, 1083, 13659, 146167, 109278, 236791, 2564, 712, 1048, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236778, 236778, 236764, 623, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 236791, 2564, 712, 1048, 16146, 827, 13659, 111534, 202880, 14255, 623, 75884, 1083, 3714, 92506, 236779, 4720, 1083, 623, 236800, 236761, 236771, 70887, 623, 43852, 236779, 10494, 1083, 236743, 236778, 236800, 1807, 1604, 623, 26514, 236779, 80284, 1083, 3714, 6725, 236779, 137112, 4073, 236779, 79082, 8562, 1083, 236743, 236778, 236832, 236828, 236764, 623, 28128, 236779, 92506, 236779, 4720, 1083, 623, 236800, 236761, 236770, 70887, 623, 145644, 236779, 23735, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236935, 236770, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236770, 236771, 118252, 4596, 531, 623, 236791, 2564, 712, 1048, 1610, 10092, 236775, 607, 910, 24711, 19455, 236787, 108, 236770, 236761, 5213, 236865, 236791, 2564, 712, 1048, 9175, 30418, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236770, 236764, 236810, 236828, 236778, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236800, 236761, 236810, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 236791, 2564, 712, 1048, 109278, 236764, 997, 9175, 30418, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236778, 236770, 236810, 138, 108, 236778, 236761, 5213, 236865, 38289, 45060, 1099, 70980, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236819, 236812, 236832, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236778, 236761, 236828, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 47204, 25907, 10958, 236764, 997, 46797, 9175, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236770, 236800, 236778, 138, 108, 236800, 236761, 5213, 236865, 236791, 2564, 712, 1048, 75455, 9521, 92699, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236825, 236771, 236770, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236812, 236761, 236770, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 13149, 140226, 236764, 997, 46640, 9175, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236828, 236828, 138, 108, 236812, 236761, 5213, 236865, 45060, 1099, 30532, 109278, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236812, 236800, 236800, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236778, 236761, 236812, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 42804, 3112, 109278, 236764, 997, 236791, 2564, 712, 1048, 53783, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236825, 236832, 138, 108, 236810, 236761, 5213, 236865, 236791, 2564, 712, 1048, 19118, 9175, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236800, 236778, 236819, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236800, 236761, 236819, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 40703, 9175, 236764, 997, 236792, 1762, 8410, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236810, 236810, 138, 108, 236825, 236761, 5213, 236865, 23425, 21728, 140226, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236778, 236828, 236832, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236778, 236761, 236778, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 96019, 5537, 109278, 236764, 997, 96226, 722, 22908, 2031, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236812, 236819, 138, 108, 236832, 236761, 5213, 236865, 236791, 2564, 712, 1048, 61549, 43146, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236778, 236771, 236812, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236800, 236761, 236800, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 9175, 149293, 236764, 997, 13149, 79262, 20143, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236800, 236832, 138, 108, 236828, 236761, 5213, 236865, 38289, 45060, 1099, 902, 64521, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236770, 236828, 236819, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236778, 236761, 236832, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 46797, 125129, 236764, 997, 70980, 139692, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236800, 236770, 138, 108, 236819, 236761, 5213, 236865, 236791, 2564, 712, 1048, 140226, 206958, 1018, 138, 107, 139, 236772, 11701, 1527, 236787, 236743, 236770, 236825, 236832, 138, 107, 139, 236772, 63010, 3136, 236787, 236743, 236812, 236761, 236810, 236908, 138, 107, 139, 236772, 32114, 16616, 236787, 997, 56051, 22218, 236764, 997, 142031, 1280, 9175, 138, 107, 139, 236772, 34980, 4009, 236787, 236743, 236778, 236819, 138, 108, 236770, 236771, 236761, 5213, 236865, 146167, 109278, 236791, 2564, 712, 1048, 1018, 138, 107, 140, 236772, 11701, 1527, 236787, 236743, 236770, 236778, 236778, 138, 107, 140, 236772, 63010, 3136, 236787, 236743, 236800, 236761, 236771, 236908, 138, 107, 140, 236772, 32114, 16616, 236787, 997, 236791, 2564, 712, 1048, 16146, 236764, 997, 111534, 202880, 138, 107, 140, 236772, 34980, 4009, 236787, 236743, 236778, 236800, 138, 108, 1018, 3503, 76374, 573, 98916, 53121, 138, 107, 236772, 30235, 580, 118252, 607, 1494, 15154, 6224, 236787, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 568, 236812, 236761, 236770, 11376, 532, 997, 236791, 2564, 712, 1048, 140226, 206958, 568, 236812, 236761, 236810, 37507, 138, 107, 236772, 70535, 4563, 236772, 15396, 16616, 51228, 236791, 2564, 712, 1048, 9175, 30418, 236764, 997, 236791, 2564, 712, 1048, 19118, 9175, 236768, 607, 92353, 5906, 51228, 38289, 45060, 1099, 70980, 236764, 997, 46797, 9175, 236768, 531, 3328, 1800, 2263, 11421, 532, 10092, 48030, 236761, 138, 107, 236772, 6890, 4596, 118252, 568, 236744, 236761, 236759, 1126, 997, 13149, 140226, 236764, 997, 46640, 9175, 236768, 531, 6778, 5370, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 11327, 3530, 20183, 653, 3004, 1208, 1239, 118252, 236888, 106, 107, 105, 2364, 107, 12879, 573, 506, 68324, 3671, 236888, 4224, 236764, 564, 236858, 236753, 1133, 531, 8701, 3530, 10365, 20183, 600, 22074, 1161, 1239, 118252, 236764, 4285, 1724, 528, 506, 1903, 15154, 30028, 1133, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 532, 997, 236791, 2564, 712, 1048, 140226, 206958, 236761, 28344, 611, 33205, 506, 236743, 236770, 236771, 1346, 4803, 12714, 1208, 1724, 1156, 118252, 1699, 506, 974, 236779, 16043, 236779, 2003, 236779, 137112, 4073, 5904, 236881, 564, 1461, 531, 18840, 506, 36291, 236858, 20183, 531, 1586, 2263, 11421, 236764, 77952, 236764, 653, 3399, 73696, 692, 1451, 41049, 607, 236761, 1701, 1546, 1868, 236764, 3204, 506, 15345, 236764, 4009, 1527, 236764, 532, 84014, 1527, 529, 506, 9827, 531, 56856, 1494, 236772, 62580, 13792, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7633, 1083, 78493, 2364, 1083, 3714, 11668, 1083, 623, 661, 2003, 156294, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236810, 236771, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236828, 236810, 236771, 236771, 1263, 623, 21151, 1083, 623, 162117, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 3124, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 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, 3714, 2364, 1083, 3714, 11668, 1083, 623, 236758, 2564, 712, 1048, 236779, 45134, 827, 623, 10494, 236779, 2861, 1083, 236743, 236800, 236778, 236771, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236778, 236832, 236771, 236771, 1263, 623, 21151, 1083, 623, 142031, 1194, 607, 2263, 11421, 528, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 50694, 138710, 236779, 236758, 2564, 827, 623, 10494, 236779, 2861, 1083, 236743, 236828, 236819, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236812, 236778, 236771, 236771, 1263, 623, 21151, 1083, 623, 97850, 30918, 12496, 528, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 6047, 3001, 236779, 26781, 827, 623, 10494, 236779, 2861, 1083, 236743, 236778, 236770, 236771, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236819, 236828, 236771, 236771, 1263, 623, 21151, 1083, 623, 4199, 19717, 8115, 20564, 528, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236812, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 30419, 661, 236779, 236758, 2564, 827, 623, 10494, 236779, 2861, 1083, 236743, 236825, 236832, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236800, 236770, 236771, 236771, 1263, 623, 21151, 1083, 623, 32051, 69552, 528, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236812, 236774, 236770, 236810, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 236758, 2564, 712, 1048, 236779, 180566, 827, 623, 10494, 236779, 2861, 1083, 236743, 236812, 236810, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236778, 236800, 236771, 236771, 1263, 623, 21151, 1083, 623, 15124, 522, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 11294, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236812, 236774, 236770, 236770, 236787, 236770, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 8819, 25154, 236779, 236758, 2564, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236771, 236778, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236810, 236825, 236771, 236771, 1263, 623, 21151, 1083, 623, 142031, 1280, 6347, 607, 1392, 661, 2003, 156294, 528, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236800, 236774, 236770, 236832, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 50694, 36895, 236779, 236758, 2564, 827, 623, 10494, 236779, 2861, 1083, 236743, 236832, 236828, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236825, 236832, 236771, 236771, 1263, 623, 21151, 1083, 623, 46640, 18669, 672, 8224, 528, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236800, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 236758, 2564, 236779, 33853, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236800, 236771, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236819, 236770, 236771, 236771, 1263, 623, 21151, 1083, 623, 2866, 236772, 165949, 529, 30918, 11381, 528, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236800, 236774, 236770, 236771, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 3714, 11668, 1083, 623, 661, 20723, 236779, 236758, 2564, 827, 623, 10494, 236779, 2861, 1083, 236743, 236778, 236778, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236828, 236771, 236771, 1263, 623, 21151, 1083, 623, 96579, 1610, 3727, 20756, 699, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 4874, 2074, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236810, 236825, 236778, 236819, 236828, 236819, 236771, 236810, 236771, 236778, 236812, 236832, 827, 623, 5576, 236779, 18700, 1083, 1847, 236764, 623, 4818, 1083, 623, 680, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 7633, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236812, 236771, 236810, 236832, 236778, 236825, 236778, 236828, 236832, 236778, 236771, 236832, 827, 623, 21151, 1083, 623, 162117, 506, 28239, 997, 236791, 2564, 712, 1048, 140226, 206958, 8317, 3124, 41218, 623, 2364, 1083, 3714, 11668, 1083, 623, 661, 2003, 236804, 634, 1614, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236812, 236778, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236828, 236819, 236771, 236771, 1263, 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, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236800, 236778, 236828, 236819, 236812, 236810, 236770, 236771, 236819, 236828, 236832, 236825, 236810, 827, 623, 21151, 1083, 623, 142031, 1194, 607, 7646, 2263, 10592, 1343, 997, 236791, 2564, 712, 1048, 140226, 206958, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 2364, 1083, 3714, 11668, 1083, 623, 45134, 236779, 236758, 2564, 712, 1048, 827, 623, 10494, 236779, 2861, 1083, 236743, 236778, 236771, 236810, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236778, 236812, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236819, 236828, 236832, 236778, 236825, 236812, 236810, 236770, 236778, 236800, 236828, 236819, 236771, 827, 623, 21151, 1083, 623, 6845, 855, 1239, 19282, 4146, 699, 3124, 236789, 236751, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 212182, 41218, 623, 2364, 1083, 3714, 11668, 1083, 623, 50694, 236779, 236758, 2564, 712, 1048, 827, 623, 10494, 236779, 2861, 1083, 236743, 236828, 236819, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236825, 236832, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236800, 236778, 236770, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236771, 827, 623, 21151, 1083, 623, 4199, 30918, 16913, 528, 506, 997, 236791, 2564, 712, 1048, 140226, 206958, 12960, 621, 689, 236828, 236800, 236755, 236785, 689, 5742, 236828, 827, 623, 2364, 1083, 3714, 11668, 1083, 623, 236757, 1762, 236779, 47734, 827, 623, 10494, 236779, 2861, 1083, 236743, 236825, 236832, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236812, 236810, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236819, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236825, 236832, 236828, 236819, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 21151, 1083, 623, 134242, 2263, 44100, 1343, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 19898, 41218, 623, 2364, 1083, 3714, 11668, 1083, 623, 236758, 2564, 712, 1048, 236779, 906, 4853, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236770, 236778, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236819, 236828, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236828, 236787, 236770, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236778, 236800, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236771, 236819, 827, 623, 21151, 1083, 623, 97850, 8325, 41047, 236787, 1392, 661, 2003, 236804, 634, 1614, 528, 997, 236791, 2564, 712, 1048, 140226, 206958, 827, 623, 2364, 1083, 3714, 11668, 1083, 623, 661, 236779, 19720, 3223, 827, 623, 10494, 236779, 2861, 1083, 236743, 236832, 236828, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236810, 236825, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236832, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 827, 623, 21151, 1083, 623, 46640, 1610, 18669, 13922, 16922, 236888, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 827, 623, 2364, 1083, 3714, 11668, 1083, 623, 661, 236779, 2025, 22742, 236779, 236758, 2564, 827, 623, 10494, 236779, 2861, 1083, 236743, 236812, 236810, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236800, 236778, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236825, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236825, 236810, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 827, 623, 21151, 1083, 623, 211703, 2263, 10592, 1343, 997, 236791, 2564, 712, 1048, 140226, 206958, 52923, 41218, 623, 2364, 1083, 3714, 11668, 1083, 623, 26781, 236779, 236758, 2564, 712, 1048, 827, 623, 10494, 236779, 2861, 1083, 236743, 236819, 236810, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236832, 236828, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236810, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236832, 236825, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 827, 623, 21151, 1083, 623, 4199, 3295, 16058, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 672, 2069, 41218, 623, 2364, 1083, 3714, 11668, 1083, 623, 50694, 236779, 20746, 236779, 236758, 2564, 827, 623, 10494, 236779, 2861, 1083, 236743, 236825, 236800, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236812, 236819, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236812, 236787, 236770, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236828, 236819, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 827, 623, 21151, 1083, 623, 101255, 236772, 1437, 236772, 85151, 529, 3124, 236789, 236751, 997, 236791, 2564, 712, 1048, 140226, 206958, 4429, 8363, 621, 689, 236828, 236800, 236753, 236785, 689, 10676, 236828, 827, 623, 2364, 1083, 3714, 11668, 1083, 623, 14007, 236779, 236758, 2564, 712, 1048, 827, 623, 10494, 236779, 2861, 1083, 236743, 236770, 236800, 236771, 236764, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236770, 236778, 236771, 236771, 1263, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236800, 236787, 236771, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 4874, 236779, 2074, 236779, 547, 1083, 623, 170536, 35023, 20074, 236758, 236778, 236792, 236771, 236770, 236800, 236847, 61026, 236749, 236953, 43793, 10370, 236802, 236797, 236810, 236746, 118670, 236804, 236797, 236752, 177097, 236917, 236802, 211305, 236847, 236804, 236811, 236765, 236774, 236770, 236811, 236809, 236797, 236778, 236745, 236809, 236797, 236752, 236935, 236800, 236797, 79297, 236810, 236753, 118670, 79297, 236778, 236811, 191594, 236767, 236770, 236748, 236774, 8016, 236809, 236797, 236800, 61688, 236874, 236804, 236811, 236754, 165137, 175077, 236797, 236778, 236753, 236828, 13831, 236792, 236800, 2885, 236759, 236770, 236797, 51283, 236778, 32588, 236781, 236828, 236761, 236770, 236832, 236828, 236825, 236810, 236812, 236800, 236778, 236770, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 827, 623, 4818, 1083, 623, 680, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 53880, 3671, 529, 4803, 12714, 1208, 5213, 236865, 236791, 2564, 712, 1048, 75455, 9521, 92699, 1018, 532, 5213, 236865, 236791, 2564, 712, 1048, 140226, 206958, 125546, 2440, 2307, 19455, 573, 21558, 1494, 236772, 62580, 85505, 236787, 108, 7243, 108, 10354, 5213, 236865, 236791, 2564, 712, 1048, 75455, 9521, 92699, 34980, 49040, 1018, 107, 236909, 5213, 29338, 1018, 148, 236909, 5213, 14357, 4308, 1018, 1109, 5213, 27447, 616, 1018, 1109, 5213, 7118, 217360, 1018, 162, 236909, 107, 236909, 2819, 40686, 236909, 2819, 726, 236909, 2819, 236909, 2819, 2819, 40673, 236909, 107, 236909, 1610, 2003, 156294, 151, 236909, 236743, 236770, 236810, 236771, 150, 236909, 236743, 236828, 236764, 236810, 236771, 236771, 146, 236909, 98717, 506, 997, 236791, 2564, 712, 1048, 75455, 9521, 92699, 139, 236909, 107, 236909, 510, 2564, 712, 1048, 236779, 45134, 145, 236909, 236743, 236800, 236778, 236771, 150, 236909, 236743, 236770, 236778, 236764, 236832, 236771, 236771, 145, 236909, 40073, 1194, 607, 2263, 11421, 146, 236909, 107, 236909, 9578, 138710, 236779, 236758, 2564, 143, 236909, 236743, 236828, 236819, 151, 236909, 236743, 236812, 236764, 236778, 236771, 236771, 146, 236909, 40502, 30918, 12496, 158, 236909, 107, 236909, 2263, 3001, 236779, 26781, 142, 236909, 236743, 236778, 236770, 236771, 150, 236909, 236743, 236819, 236764, 236828, 236771, 236771, 146, 236909, 1799, 19717, 8115, 20564, 151, 236909, 107, 236909, 7363, 661, 236779, 236758, 2564, 147, 236909, 236743, 236825, 236832, 151, 236909, 236743, 236800, 236764, 236770, 236771, 236771, 146, 236909, 28776, 69552, 164, 236909, 107, 236909, 510, 2564, 712, 1048, 236779, 180566, 147, 236909, 236743, 236812, 236810, 151, 236909, 236743, 236778, 236764, 236800, 236771, 236771, 146, 236909, 21685, 522, 506, 47380, 11294, 144, 236909, 107, 236909, 11321, 25154, 236779, 236758, 2564, 146, 236909, 236743, 236770, 236771, 236778, 150, 236909, 236743, 236810, 236764, 236825, 236771, 236771, 146, 236909, 112200, 6347, 607, 1392, 661, 2003, 156294, 143, 236909, 107, 236909, 9578, 36895, 236779, 236758, 2564, 145, 236909, 236743, 236832, 236828, 151, 236909, 236743, 236825, 236764, 236832 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 1873, 2634, 3325, 528, 21671, 3775, 236764, 17231, 236764, 8288, 1547, 1041, 49115, 5975, 563, 6995, 614, 11690, 2460, 2148, 2069, 236761, 28344, 611, 2847, 786, 607, 506, 2634, 3325, 3546, 568, 80055, 236777, 236768, 532, 4889, 1003, 506, 1689, 54612, 528, 600, 2433, 236881, 564, 1461, 531, 1386, 2889, 625, 236789, 236751, 6338, 573, 4677, 236764, 4285, 1724, 607, 29842, 121171, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1202, 506, 42442, 15375, 568, 37673, 532, 50550, 236768, 573, 21671, 3775, 236764, 17231, 531, 2426, 506, 2634, 3325, 236761, 28344, 611, 5091, 2847, 1239, 15375, 236881, 1637, 611, 236789, 500, 54538, 236764, 611, 740, 1385, 1091, 872, 1699, 496, 15468, 2509, 1133, 6475, 39247, 684, 1447, 236772, 200109, 506, 4563, 532, 53778, 506, 15375, 236761, 106, 107, 105, 2364, 107, 818, 42442, 15375, 573, 21671, 3775, 236764, 17231, 236764, 8288, 659, 8296, 5213, 236800, 236828, 236761, 236832, 236800, 236810, 236825, 237366, 646, 568, 37673, 62902, 532, 5213, 236772, 236819, 236778, 236761, 236832, 236819, 236812, 236832, 237366, 649, 568, 41713, 62902, 236761, 7323, 1161, 1239, 15375, 531, 33205, 506, 1873, 2634, 3325, 1262, 573, 506, 2433, 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, 14716, 1083, 623, 46456, 1548, 236764, 2506, 2483, 827, 623, 8938, 1083, 623, 46456, 1548, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 21101, 236747, 1083, 236743, 236812, 236810, 236764, 623, 3840, 236778, 236810, 1083, 236743, 236770, 236810, 236764, 623, 3840, 236770, 236771, 1083, 236743, 236778, 236810, 236764, 623, 235919, 1083, 236743, 236828, 236771, 236764, 623, 186131, 236779, 221466, 1083, 236743, 236778, 236771, 236764, 623, 17951, 556, 236779, 221466, 1083, 236743, 236770, 236771, 236764, 623, 25510, 236779, 3419, 23108, 1083, 236743, 236771, 236761, 236825, 236764, 623, 16602, 236779, 85038, 847, 1083, 3714, 28122, 1083, 623, 17995, 3325, 563, 25343, 573, 1346, 7010, 10498, 623, 46443, 236779, 19243, 1083, 623, 24501, 13471, 35269, 653, 7274, 11690, 130484, 768, 611, 659, 61022, 13719, 531, 2634, 19392, 10498, 623, 3241, 236779, 38109, 550, 1639, 1083, 11058, 236806, 13873, 827, 623, 10192, 236778, 236761, 236810, 152254, 623, 7125, 1083, 3714, 13319, 1083, 623, 38614, 3775, 827, 623, 3255, 1083, 623, 176122, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236828, 236761, 236832, 236800, 236810, 236825, 236764, 623, 14716, 1083, 753, 236819, 236778, 236761, 236832, 236819, 236812, 236832, 19465, 106, 107, 105, 4368, 107, 818, 1873, 2634, 3325, 528, 21671, 3775, 236764, 17231, 568, 56220, 236743, 236800, 236828, 236761, 236832, 236800, 236810, 236825, 237366, 646, 236764, 753, 236819, 236778, 236761, 236832, 236819, 236812, 236832, 237366, 649, 236768, 563, 236787, 108, 1018, 17995, 19779, 13291, 568, 80055, 236777, 1473, 236743, 236812, 236810, 1018, 138, 107, 236829, 12962, 236787, 76835, 6528, 568, 11947, 573, 1346, 7010, 12016, 108, 1018, 3503, 26809, 550, 1639, 53121, 107, 236772, 5213, 236806, 13873, 568, 236806, 245835, 1473, 1018, 236743, 236828, 236771, 185986, 138, 107, 236772, 5213, 10192, 236778, 236761, 236810, 53121, 236743, 236770, 236810, 36434, 236759, 236786, 236757, 239158, 138, 107, 236772, 7067, 54612, 568, 10192, 236770, 236771, 236764, 19846, 26314, 236764, 31742, 26314, 236764, 6800, 79370, 236768, 659, 657, 2708, 4535, 236761, 108, 1018, 19924, 91330, 53121, 107, 236772, 7660, 1331, 740, 4059, 11690, 5085, 2180, 4561, 236761, 107, 236772, 14212, 607, 29842, 121171, 568, 236744, 236761, 236759, 1126, 51676, 236768, 1374, 1966, 13471, 35269, 653, 7274, 11690, 130484, 2779, 531, 21037, 55767, 532, 8711, 236778, 236761, 236810, 4535, 236761, 108, 818, 2634, 3325, 7412, 6338, 573, 822, 49115, 2460, 236764, 840, 611, 1149, 1461, 531, 4576, 18487, 4588, 573, 13719, 40303, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 236743, 244608, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 2072, 236888, 669, 95915, 236777, 5724, 6338, 6782, 236764, 840, 564, 236858, 236757, 16126, 611, 24724, 506, 55767, 532, 8711, 236778, 236761, 236810, 4535, 236761, 5612, 1070, 529, 1023, 49115, 5975, 3295, 735, 51676, 236764, 1451, 611, 3600, 3530, 47989, 692, 1374, 1769, 1913, 506, 2460, 236881, 1701, 2591, 236764, 1093, 24725, 11690, 4588, 531, 2953, 2782, 529, 1719, 653, 6655, 62913, 236786, 4506, 4106, 1601, 6439, 10885, 236881, 6542, 236764, 659, 993, 1027, 2263, 7606, 9935, 653, 49054, 573, 21671, 3775, 236764, 17231, 600, 2473, 4208, 2634, 3325, 528, 506, 2148, 236743, 236832, 2668, 236881, 564, 236858, 236753, 2765, 531, 735, 1800, 10231, 6555, 573, 506, 2460, 532, 496, 15005, 236772, 1048, 768, 3439, 2473, 2352, 236761, 3792, 786, 1281, 1217, 611, 236858, 236753, 4313, 672, 236888, 236743, 243536, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 2731, 531, 3421, 822, 10928, 532, 5330, 5646, 573, 822, 49115, 2460, 236787, 108, 7243, 108, 10354, 5213, 124319, 39359, 573, 147001, 66716, 1018, 138, 107, 26479, 506, 1873, 55767, 568, 236828, 236771, 185986, 236768, 532, 8711, 236778, 236761, 236810, 568, 236770, 236810, 36434, 236759, 236786, 236757, 224243, 4535, 236764, 1590, 236858, 236751, 1144, 564, 5840, 236787, 138, 107, 236770, 236761, 5213, 100651, 53121, 138, 107, 139, 236772, 27468, 11690, 5085, 5213, 15849, 236743, 236770, 236770, 8151, 653, 1308, 236743, 236832, 8711, 1018, 1056, 55767, 4535, 659, 11082, 3718, 568, 235919, 6667, 528, 26808, 532, 23338, 107118, 769, 138, 107, 139, 236772, 39874, 107118, 49115, 568, 236770, 236770, 8151, 236964, 236812, 8711, 236768, 573, 1494, 236772, 37716, 3295, 236761, 138, 108, 236778, 236761, 5213, 5753, 35593, 1230, 53121, 138, 107, 139, 236772, 5213, 27884, 7274, 130484, 1018, 568, 236744, 236761, 236759, 1126, 50847, 236764, 152107, 236768, 1913, 11519, 55767, 3885, 236761, 138, 107, 139, 236772, 39525, 5213, 148772, 1884, 4106, 1018, 607, 33398, 531, 6439, 35269, 10885, 236761, 138, 107, 139, 236772, 128527, 71552, 532, 7441, 19005, 568, 584, 8711, 236778, 236761, 236810, 33358, 3342, 769, 138, 108, 236800, 236761, 5213, 120104, 53121, 138, 107, 139, 236772, 19148, 1759, 236772, 2289, 95915, 236777, 12496, 4323, 13283, 568, 236744, 236761, 236759, 1126, 5661, 20216, 236764, 47304, 17995, 236768, 1913, 506, 2460, 236761, 138, 107, 139, 236772, 16501, 573, 10684, 1133, 125992, 236764, 2615, 119819, 236764, 653, 155444, 529, 11762, 236761, 138, 108, 236812, 236761, 5213, 1584, 522, 1895, 9620, 53121, 138, 107, 139, 236772, 13433, 496, 5213, 26987, 236786, 188560, 2557, 1018, 5508, 573, 13719, 40303, 768, 2634, 3325, 225180, 236761, 138, 107, 139, 236772, 6531, 52218, 653, 217563, 768, 506, 95915, 236777, 105198, 2787, 236743, 236832, 236810, 568, 114292, 236768, 580, 506, 2460, 1719, 236761, 138, 108, 7243, 108, 10354, 5213, 26588, 72627, 833, 5661, 19779, 74544, 1018, 138, 107, 236777, 5633, 5213, 84237, 2802, 7606, 49054, 1018, 568, 1904, 2487, 5904, 573, 236743, 236832, 236772, 1496, 49054, 779, 840, 1590, 236858, 236751, 1217, 7606, 19375, 95915, 236777, 236787, 138, 107, 236772, 5213, 236806, 13873, 66515, 630, 3708, 607, 5213, 11480, 11139, 1018, 104128, 236828, 236810, 237366, 236811, 236768, 532, 3188, 26808, 236761, 138, 107, 236772, 5213, 10192, 236778, 236761, 236810, 66515, 108702, 24003, 1056, 5213, 15879, 23257, 659, 2708, 1018, 44229, 236810, 44269, 236768, 653, 1913, 4022, 30953, 878, 236761, 138, 107, 236772, 5213, 45060, 236786, 50483, 66515, 8361, 1731, 54612, 236764, 14526, 95915, 236777, 236761, 138, 108, 1018, 9272, 50228, 573, 1599, 53121, 138, 107, 236770, 236761, 7179, 506, 5213, 20918, 28789, 6007, 568, 19323, 236761, 12561, 62902, 573, 21671, 3775, 236858, 236751, 236743, 236832, 236772, 1496, 14415, 236761, 138, 107, 139, 236772, 11696, 573, 5213, 27495, 57952, 1018, 653, 107244, 2634, 51679, 236761, 138, 107, 236778, 236761, 26295, 506, 5213, 17995, 6445, 236761, 12561, 1018, 95915, 236777, 14415, 573, 27984, 236743, 236770, 236964, 236778, 2668, 1680, 506, 2460, 236761, 138, 108, 38786, 611, 1133, 786, 531, 544, 4256, 21671, 3775, 236858, 236751, 95915, 236777, 12532, 531, 506, 2460, 3433, 236881, 3792, 786, 1281, 236888, 236743, 250759, 238178, 243536, 138, 108, 236829, 44289, 6338, 532, 4059, 822, 49115, 2460, 236888, 236829, 236743, 242560, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 1873, 2634, 3325, 528, 21671, 3775, 236764, 17231, 236764, 8288, 1547, 1041, 49115, 5975, 563, 6995, 614, 11690, 2460, 2148, 2069, 236761, 28344, 611, 2847, 786, 607, 506, 2634, 3325, 3546, 568, 80055, 236777, 236768, 532, 4889, 1003, 506, 1689, 54612, 528, 600, 2433, 236881, 564, 1461, 531, 1386, 2889, 625, 236789, 236751, 6338, 573, 4677, 236764, 4285, 1724, 607, 29842, 121171, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1202, 506, 42442, 15375, 568, 37673, 532, 50550, 236768, 573, 21671, 3775, 236764, 17231, 531, 2426, 506, 2634, 3325, 236761, 28344, 611, 5091, 2847, 1239, 15375, 236881, 1637, 611, 236789, 500, 54538, 236764, 611, 740, 1385, 1091, 872, 1699, 496, 15468, 2509, 1133, 6475, 39247, 684, 1447, 236772, 200109, 506, 4563, 532, 53778, 506, 15375, 236761, 106, 107, 105, 2364, 107, 818, 42442, 15375, 573, 21671, 3775, 236764, 17231, 236764, 8288, 659, 8296, 5213, 236800, 236828, 236761, 236832, 236800, 236810, 236825, 237366, 646, 568, 37673, 62902, 532, 5213, 236772, 236819, 236778, 236761, 236832, 236819, 236812, 236832, 237366, 649, 568, 41713, 62902, 236761, 7323, 1161, 1239, 15375, 531, 33205, 506, 1873, 2634, 3325, 1262, 573, 506, 2433, 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, 14716, 1083, 623, 46456, 1548, 236764, 2506, 2483, 827, 623, 8938, 1083, 623, 46456, 1548, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 21101, 236747, 1083, 236743, 236812, 236810, 236764, 623, 3840, 236778, 236810, 1083, 236743, 236770, 236810, 236764, 623, 3840, 236770, 236771, 1083, 236743, 236778, 236810, 236764, 623, 235919, 1083, 236743, 236828, 236771, 236764, 623, 186131, 236779, 221466, 1083, 236743, 236778, 236771, 236764, 623, 17951, 556, 236779, 221466, 1083, 236743, 236770, 236771, 236764, 623, 25510, 236779, 3419, 23108, 1083, 236743, 236771, 236761, 236825, 236764, 623, 16602, 236779, 85038, 847, 1083, 3714, 28122, 1083, 623, 17995, 3325, 563, 25343, 573, 1346, 7010, 10498, 623, 46443, 236779, 19243, 1083, 623, 24501, 13471, 35269, 653, 7274, 11690, 130484, 768, 611, 659, 61022, 13719, 531, 2634, 19392, 10498, 623, 3241, 236779, 38109, 550, 1639, 1083, 11058, 236806, 13873, 827, 623, 10192, 236778, 236761, 236810, 152254, 623, 7125, 1083, 3714, 13319, 1083, 623, 38614, 3775, 827, 623, 3255, 1083, 623, 176122, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236828, 236761, 236832, 236800, 236810, 236825, 236764, 623, 14716, 1083, 753, 236819, 236778, 236761, 236832, 236819, 236812, 236832, 19465, 106, 107, 105, 4368, 107, 818, 1873, 2634, 3325, 528, 21671, 3775, 236764, 17231, 568, 56220, 236743, 236800, 236828, 236761, 236832, 236800, 236810, 236825, 237366, 646, 236764, 753, 236819, 236778, 236761, 236832, 236819, 236812, 236832, 237366, 649, 236768, 563, 236787, 108, 1018, 17995, 19779, 13291, 568, 80055, 236777, 1473, 236743, 236812, 236810, 1018, 138, 107, 236829, 12962, 236787, 76835, 6528, 568, 11947, 573, 1346, 7010, 12016, 108, 1018, 3503, 26809, 550, 1639, 53121, 107, 236772, 5213, 236806, 13873, 568, 236806, 245835, 1473, 1018, 236743, 236828, 236771, 185986, 138, 107, 236772, 5213, 10192, 236778, 236761, 236810, 53121, 236743, 236770, 236810, 36434, 236759, 236786, 236757, 239158, 138, 107, 236772, 7067, 54612, 568, 10192, 236770, 236771, 236764, 19846, 26314, 236764, 31742, 26314, 236764, 6800, 79370, 236768, 659, 657, 2708, 4535, 236761, 108, 1018, 19924, 91330, 53121, 107, 236772, 7660, 1331, 740, 4059, 11690, 5085, 2180, 4561, 236761, 107, 236772, 14212, 607, 29842, 121171, 568, 236744, 236761, 236759, 1126, 51676, 236768, 1374, 1966, 13471, 35269, 653, 7274, 11690, 130484, 2779, 531, 21037, 55767, 532, 8711, 236778, 236761, 236810, 4535, 236761, 108, 818, 2634, 3325, 7412, 6338, 573, 822, 49115, 2460, 236764, 840, 611, 1149, 1461, 531, 4576, 18487, 4588, 573, 13719, 40303, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 236743, 244608, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 2072, 236888, 669, 95915, 236777, 5724, 6338, 6782, 236764, 840, 564, 236858, 236757, 16126, 611, 24724, 506, 55767, 532, 8711, 236778, 236761, 236810, 4535, 236761, 5612, 1070, 529, 1023, 49115, 5975, 3295, 735, 51676, 236764, 1451, 611, 3600, 3530, 47989, 692, 1374, 1769, 1913, 506, 2460, 236881, 1701, 2591, 236764, 1093, 24725, 11690, 4588, 531, 2953, 2782, 529, 1719, 653, 6655, 62913, 236786, 4506, 4106, 1601, 6439, 10885, 236881, 6542, 236764, 659, 993, 1027, 2263, 7606, 9935, 653, 49054, 573, 21671, 3775, 236764, 17231, 600, 2473, 4208, 2634, 3325, 528, 506, 2148, 236743, 236832, 2668, 236881, 564, 236858, 236753, 2765, 531, 735, 1800, 10231, 6555, 573, 506, 2460, 532, 496, 15005, 236772, 1048, 768, 3439, 2473, 2352, 236761, 3792, 786, 1281, 1217, 611, 236858, 236753, 4313, 672, 236888, 236743, 243536, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 2731, 531, 3421, 822, 10928, 532, 5330, 5646, 573, 822, 49115, 2460, 236787, 108, 7243, 108, 10354, 5213, 124319, 39359, 573, 147001, 66716, 1018, 138, 107, 26479, 506, 1873, 55767, 568, 236828, 236771, 185986, 236768, 532, 8711, 236778, 236761, 236810, 568, 236770, 236810, 36434, 236759, 236786, 236757, 224243, 4535, 236764, 1590, 236858, 236751, 1144, 564, 5840, 236787, 138, 107, 236770, 236761, 5213, 100651, 53121, 138, 107, 139, 236772, 27468, 11690, 5085, 5213, 15849, 236743, 236770, 236770, 8151, 653, 1308, 236743, 236832, 8711, 1018, 1056, 55767, 4535, 659, 11082, 3718, 568, 235919, 6667, 528, 26808, 532, 23338, 107118, 769, 138, 107, 139, 236772, 39874, 107118, 49115, 568, 236770, 236770, 8151, 236964, 236812, 8711, 236768, 573, 1494, 236772, 37716, 3295, 236761, 138, 108, 236778, 236761, 5213, 5753, 35593, 1230, 53121, 138, 107, 139, 236772, 5213, 27884, 7274, 130484, 1018, 568, 236744, 236761, 236759, 1126, 50847, 236764, 152107, 236768, 1913, 11519, 55767, 3885, 236761, 138, 107, 139, 236772, 39525, 5213, 148772, 1884, 4106, 1018, 607, 33398, 531, 6439, 35269, 10885, 236761, 138, 107, 139, 236772, 128527, 71552, 532, 7441, 19005, 568, 584, 8711, 236778, 236761, 236810, 33358, 3342, 769, 138, 108, 236800, 236761, 5213, 120104, 53121, 138, 107, 139, 236772, 19148, 1759, 236772, 2289, 95915, 236777, 12496, 4323, 13283, 568, 236744, 236761, 236759, 1126, 5661, 20216, 236764, 47304, 17995, 236768, 1913, 506, 2460, 236761, 138, 107, 139, 236772, 16501, 573, 10684, 1133, 125992, 236764, 2615, 119819, 236764, 653, 155444, 529, 11762, 236761, 138, 108, 236812, 236761, 5213, 1584, 522, 1895, 9620, 53121, 138, 107, 139, 236772, 13433, 496, 5213, 26987, 236786, 188560, 2557, 1018, 5508, 573, 13719, 40303, 768, 2634, 3325, 225180, 236761, 138, 107, 139, 236772, 6531, 52218, 653, 217563, 768, 506, 95915, 236777, 105198, 2787, 236743, 236832, 236810, 568, 114292, 236768, 580, 506, 2460, 1719, 236761, 138, 108, 7243, 108, 10354, 5213, 26588, 72627, 833, 5661, 19779, 74544, 1018, 138, 107, 236777, 5633, 5213, 84237, 2802, 7606, 49054, 1018, 568, 1904, 2487, 5904, 573, 236743, 236832, 236772, 1496, 49054, 779, 840, 1590, 236858, 236751, 1217, 7606, 19375, 95915, 236777, 236787, 138, 107, 236772, 5213, 236806, 13873, 66515, 630, 3708, 607, 5213, 11480, 11139, 1018, 104128, 236828, 236810, 237366, 236811, 236768, 532, 3188, 26808, 236761, 138, 107, 236772, 5213, 10192, 236778, 236761, 236810, 66515, 108702, 24003, 1056, 5213, 15879, 23257, 659, 2708, 1018, 44229, 236810, 44269, 236768, 653, 1913, 4022, 30953, 878, 236761, 138, 107, 236772, 5213, 45060, 236786, 50483, 66515, 8361, 1731, 54612, 236764, 14526, 95915, 236777, 236761, 138, 108, 1018, 9272, 50228, 573, 1599, 53121, 138, 107, 236770, 236761, 7179, 506, 5213, 20918, 28789, 6007, 568, 19323, 236761, 12561, 62902, 573, 21671, 3775, 236858, 236751, 236743, 236832, 236772, 1496, 14415, 236761, 138, 107, 139, 236772, 11696, 573, 5213, 27495, 57952, 1018, 653, 107244, 2634, 51679, 236761, 138, 107, 236778, 236761, 26295, 506, 5213, 17995, 6445, 236761, 12561, 1018, 95915, 236777, 14415, 573, 27984, 236743, 236770, 236964, 236778, 2668, 1680, 506, 2460, 236761, 138, 108, 38786, 611, 1133, 786, 531, 544, 4256, 21671, 3775, 236858, 236751, 95915, 236777, 12532, 531, 506, 2460, 3433, 236881, 3792, 786, 1281, 236888, 236743, 250759, 238178, 243536, 138, 108, 236829, 44289, 6338, 532, 4059, 822, 49115, 2460, 236888, 236829, 236743, 242560, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6972, 1003, 3978, 1131, 26100, 34637, 840, 1537, 236789, 236745, 1281, 1298, 531, 1502, 236761, 5315, 236764, 564, 1202, 496, 1694, 529, 4808, 1298, 71035, 17056, 22747, 5158, 26100, 34637, 9766, 236761, 4298, 236764, 3622, 564, 735, 600, 1694, 236764, 564, 1461, 531, 2426, 506, 6524, 26844, 573, 506, 1903, 236772, 43289, 15284, 528, 886, 529, 1724, 4808, 236764, 10916, 506, 4241, 15187, 532, 1024, 236786, 6460, 9766, 236761, 2024, 564, 236789, 236757, 711, 2889, 1217, 531, 21332, 506, 6436, 573, 672, 236761, 3199, 611, 1601, 786, 2918, 684, 2918, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41560, 1083, 78493, 14801, 236779, 1201, 1083, 623, 27211, 15305, 827, 623, 14801, 236779, 3970, 1083, 623, 8242, 827, 623, 3991, 236779, 43289, 236779, 80043, 1083, 623, 126350, 9654, 827, 623, 8245, 1493, 236779, 2291, 7415, 1083, 623, 188841, 684, 6322, 137576, 6881, 236761, 38232, 3911, 236743, 236770, 236828, 236761, 28143, 236772, 34899, 99954, 17507, 3149, 10498, 623, 16350, 236779, 56905, 1083, 3714, 10480, 236779, 725, 10927, 1083, 1847, 236764, 623, 1749, 236779, 6460, 1083, 1847, 236764, 623, 4240, 525, 670, 1083, 1847, 236764, 623, 28699, 236779, 8245, 1493, 1083, 1847, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 14801, 236779, 1201, 1083, 623, 79932, 827, 623, 14801, 236779, 3970, 1083, 623, 1740, 827, 623, 3991, 236779, 43289, 236779, 80043, 1083, 623, 4967, 40777, 827, 623, 8245, 1493, 236779, 2291, 7415, 1083, 623, 5024, 6260, 684, 622, 10677, 236863, 236761, 20360, 16807, 58035, 236761, 91341, 6055, 531, 114823, 2787, 621, 236756, 236778, 236771, 552, 236770, 236764, 236810, 236771, 236771, 10498, 623, 16350, 236779, 56905, 1083, 3714, 10480, 236779, 725, 10927, 1083, 1847, 236764, 623, 1749, 236779, 6460, 1083, 1847, 236764, 623, 19448, 236779, 8318, 1083, 2416, 236764, 623, 5000, 236779, 11187, 1083, 1847, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236770, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 14801, 236779, 1201, 1083, 623, 34692, 827, 623, 14801, 236779, 3970, 1083, 623, 4070, 827, 623, 3991, 236779, 43289, 236779, 80043, 1083, 623, 152128, 33590, 827, 623, 8245, 1493, 236779, 2291, 7415, 1083, 623, 14151, 97830, 531, 24335, 13448, 1208, 3245, 59295, 236761, 2301, 3892, 528, 236772, 1555, 34637, 18345, 10498, 623, 16350, 236779, 56905, 1083, 3714, 10480, 236779, 725, 10927, 1083, 1847, 236764, 623, 1749, 236779, 6460, 1083, 2416, 236764, 623, 6736, 236779, 1904, 236779, 8245, 1083, 1847, 236764, 623, 19836, 236779, 2289, 236779, 10602, 236779, 2289, 1083, 1847, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236771, 236819, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 2763, 37755, 1083, 623, 40219, 15830, 3660, 531, 2352, 2721, 580, 17286, 12496, 236761, 31246, 16807, 1873, 12159, 1680, 22516, 53926, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 236787, 108, 1018, 94452, 607, 23531, 58386, 128960, 51810, 53121, 108, 236770, 236761, 5213, 27211, 15305, 1018, 568, 126350, 9654, 236768, 107, 139, 236772, 18326, 51810, 236787, 28253, 102465, 236764, 7178, 236786, 14713, 236764, 205325, 236764, 15097, 128960, 107, 139, 236772, 45722, 236787, 45347, 684, 6322, 137576, 6881, 236761, 38232, 3911, 236743, 236770, 236828, 236761, 108, 236778, 236761, 5213, 79932, 1018, 568, 4967, 40777, 236768, 107, 139, 236772, 18326, 51810, 236787, 28253, 102465, 236764, 7178, 236786, 14713, 236764, 17065, 162767, 107, 139, 236772, 45722, 236787, 3657, 6260, 684, 622, 10677, 236863, 236761, 91341, 5510, 531, 114823, 2787, 11361, 236770, 236764, 236810, 236771, 236771, 236761, 108, 236800, 236761, 5213, 34692, 1018, 568, 152128, 33590, 236768, 107, 139, 236772, 18326, 51810, 236787, 28253, 102465, 236764, 22705, 236772, 3771, 236772, 17056, 236764, 35881, 236772, 2866, 236786, 13973, 236772, 2866, 107, 139, 236772, 7918, 236787, 7178, 236786, 14713, 9766, 711, 2487, 2779, 531, 17286, 14523, 236761, 108, 1018, 9272, 50228, 53121, 138, 107, 9366, 5347, 496, 2891, 236786, 80043, 8376, 531, 33205, 506, 6524, 26844, 573, 4241, 15187, 532, 1024, 236786, 6460, 9766, 236761, 669, 6322, 532, 14145, 659, 10325, 573, 2587, 2802, 531, 1800, 2436, 4458, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 859, 817, 607, 506, 3640, 15305, 236789, 236751, 19992, 9654, 573, 1800, 4241, 15187, 532, 1024, 236786, 6460, 9766, 236761, 3792, 236789, 236751, 2426, 506, 6524, 26844, 573, 672, 15284, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 79692, 1083, 3714, 126350, 9654, 1083, 78493, 10480, 1083, 623, 74246, 3640, 7728, 25818, 827, 623, 10480, 236779, 547, 1083, 623, 19476, 236770, 236778, 236800, 236812, 236810, 827, 623, 16350, 1083, 623, 10480, 236779, 3709, 827, 623, 79692, 1083, 3714, 8147, 236779, 6328, 1083, 236743, 236778, 236761, 236800, 236810, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236778, 236764, 623, 14968, 236779, 6328, 1083, 236743, 236800, 236761, 236770, 1263, 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, 3714, 10480, 1083, 623, 123217, 7728, 28724, 827, 623, 10480, 236779, 547, 1083, 623, 19476, 236825, 236832, 236828, 236819, 236771, 827, 623, 16350, 1083, 623, 10480, 236779, 3709, 827, 623, 79692, 1083, 3714, 8147, 236779, 6328, 1083, 236743, 236770, 236761, 236819, 236810, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236812, 236764, 623, 14968, 236779, 6328, 1083, 236743, 236812, 236761, 236771, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236828, 236787, 236771, 236771, 236953, 25938, 1604, 623, 79692, 236779, 5939, 1083, 623, 55817, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 80043, 1083, 623, 818, 756, 80043, 236789, 7689, 7087, 496, 3530, 15284, 5853, 653, 2891, 3393, 531, 8701, 506, 4338, 19595, 236761, 756, 126350, 9654, 236789, 563, 64426, 2180, 496, 2891, 31744, 1781, 19465, 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, 80043, 1083, 623, 818, 5904, 1677, 711, 1894, 1982, 2891, 236786, 80043, 15468, 27490, 236761, 2282, 1694, 4808, 1298, 71035, 17056, 22747, 236764, 1161, 506, 756, 41560, 236789, 5904, 1171, 236761, 669, 756, 79692, 236779, 69069, 236789, 5904, 7087, 3530, 15284, 62606, 653, 4241, 104026, 531, 33205, 26844, 1781, 19465, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 21332, 672, 2918, 684, 2918, 236761, 3792, 236789, 236751, 1171, 1385, 657, 506, 6595, 4241, 14421, 26844, 692, 52236, 236764, 1299, 1586, 496, 1595, 531, 2802, 506, 1024, 236786, 6460, 9766, 236761, 108, 1018, 126350, 9654, 28253, 129421, 139135, 568, 41949, 36353, 1473, 1018, 107, 236770, 236761, 5213, 74246, 3640, 7728, 25818, 1018, 138, 107, 139, 236772, 6863, 13357, 236787, 236743, 236778, 236761, 236800, 236810, 138, 107, 139, 236772, 22705, 236787, 236743, 236800, 236761, 236778, 236771, 138, 107, 139, 236772, 60918, 13357, 236787, 236743, 236800, 236761, 236770, 236771, 138, 108, 236778, 236761, 5213, 123217, 7728, 28724, 1018, 138, 107, 139, 236772, 6863, 13357, 236787, 236743, 236770, 236761, 236819, 236810, 138, 107, 139, 236772, 22705, 236787, 236743, 236800, 236761, 236812, 236771, 138, 107, 139, 236772, 60918, 13357, 236787, 236743, 236812, 236761, 236771, 236771, 138, 108, 7243, 108, 2021, 14245, 506, 8330, 4186, 607, 1024, 236786, 6460, 9766, 236787, 107, 236770, 236761, 669, 9299, 7087, 14481, 2891, 4403, 573, 2953, 9766, 107, 236778, 236761, 1191, 3016, 1281, 506, 19992, 9654, 19681, 531, 506, 6322, 568, 8242, 236768, 699, 1023, 6517, 2891, 38485, 108, 1018, 6481, 786, 2056, 496, 26885, 4313, 531, 974, 1024, 236786, 6460, 26844, 1699, 3530, 4241, 62606, 53121, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10480, 236779, 547, 1083, 623, 19476, 236770, 236778, 236800, 236812, 236810, 827, 623, 80043, 1083, 623, 126350, 9654, 827, 623, 16350, 1083, 623, 1749, 236779, 6460, 827, 623, 79692, 236779, 5939, 1083, 623, 55817, 827, 623, 79692, 1083, 3714, 1749, 236779, 236778, 236779, 236810, 1083, 236743, 236778, 236761, 236812, 236810, 236764, 623, 6460, 236779, 236778, 236779, 236810, 1083, 236743, 236770, 236761, 236810, 236810, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 14210, 1083, 623, 28898, 26844, 753, 16955, 573, 10448, 2979, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4133, 25890, 573, 19992, 9654, 34637, 528, 506, 6322, 236787, 108, 1018, 236770, 236761, 28253, 129421, 139135, 568, 41949, 36353, 1473, 1018, 107, 236772, 5213, 74246, 3640, 7728, 25818, 1018, 568, 19476, 236770, 236778, 236800, 236812, 236810, 236768, 138, 107, 138, 9435, 13357, 236787, 236743, 236778, 236761, 236800, 236810, 1109, 22705, 236787, 236743, 236800, 236761, 236778, 236771, 1109, 60918, 13357, 236787, 236743, 236800, 236761, 236770, 236771, 138, 108, 236772, 5213, 123217, 7728, 28724, 1018, 568, 19476, 236825, 236832, 236828, 236819, 236771, 236768, 138, 107, 138, 9435, 13357, 236787, 236743, 236770, 236761, 236819, 236810, 1109, 22705, 236787, 236743, 236800, 236761, 236812, 236771, 1109, 60918, 13357, 236787, 236743, 236812, 236761, 236771, 236771, 138, 108, 1018, 236778, 236761, 7178, 236786, 14713, 139135, 573, 19127, 3640, 7728, 25818, 1018, 568, 19476, 236770, 236778, 236800, 236812, 236810, 1473, 138, 107, 236772, 7178, 236743, 236778, 236761, 236810, 59836, 236787, 236743, 236778, 236761, 236812, 236810, 138, 107, 236772, 8382, 236743, 236778, 236761, 236810, 59836, 236787, 236743, 236770, 236761, 236810, 236810, 138, 108, 7243, 108, 1018, 3503, 24118, 53121, 138, 107, 236772, 7178, 236786, 6460, 9766, 1660, 3530, 4241, 62606, 531, 33205, 1262, 2779, 531, 17286, 6035, 528, 506, 6322, 138, 107, 236772, 139135, 659, 3892, 532, 4610, 11572, 753, 2426, 99885, 573, 81807, 138, 107, 236772, 669, 19992, 9654, 5469, 1800, 4241, 14421, 532, 1024, 236786, 6460, 9766, 618, 10778, 528, 506, 2891, 12159, 138, 108, 38786, 611, 1133, 531, 2426, 26844, 573, 2264, 4241, 653, 11327, 4767, 9766, 1133, 41125, 2786, 653, 4155, 22718, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6972, 1003, 3978, 1131, 26100, 34637, 840, 1537, 236789, 236745, 1281, 1298, 531, 1502, 236761, 5315, 236764, 564, 1202, 496, 1694, 529, 4808, 1298, 71035, 17056, 22747, 5158, 26100, 34637, 9766, 236761, 4298, 236764, 3622, 564, 735, 600, 1694, 236764, 564, 1461, 531, 2426, 506, 6524, 26844, 573, 506, 1903, 236772, 43289, 15284, 528, 886, 529, 1724, 4808, 236764, 10916, 506, 4241, 15187, 532, 1024, 236786, 6460, 9766, 236761, 2024, 564, 236789, 236757, 711, 2889, 1217, 531, 21332, 506, 6436, 573, 672, 236761, 3199, 611, 1601, 786, 2918, 684, 2918, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41560, 1083, 78493, 14801, 236779, 1201, 1083, 623, 27211, 15305, 827, 623, 14801, 236779, 3970, 1083, 623, 8242, 827, 623, 3991, 236779, 43289, 236779, 80043, 1083, 623, 126350, 9654, 827, 623, 8245, 1493, 236779, 2291, 7415, 1083, 623, 188841, 684, 6322, 137576, 6881, 236761, 38232, 3911, 236743, 236770, 236828, 236761, 28143, 236772, 34899, 99954, 17507, 3149, 10498, 623, 16350, 236779, 56905, 1083, 3714, 10480, 236779, 725, 10927, 1083, 1847, 236764, 623, 1749, 236779, 6460, 1083, 1847, 236764, 623, 4240, 525, 670, 1083, 1847, 236764, 623, 28699, 236779, 8245, 1493, 1083, 1847, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 14801, 236779, 1201, 1083, 623, 79932, 827, 623, 14801, 236779, 3970, 1083, 623, 1740, 827, 623, 3991, 236779, 43289, 236779, 80043, 1083, 623, 4967, 40777, 827, 623, 8245, 1493, 236779, 2291, 7415, 1083, 623, 5024, 6260, 684, 622, 10677, 236863, 236761, 20360, 16807, 58035, 236761, 91341, 6055, 531, 114823, 2787, 621, 236756, 236778, 236771, 552, 236770, 236764, 236810, 236771, 236771, 10498, 623, 16350, 236779, 56905, 1083, 3714, 10480, 236779, 725, 10927, 1083, 1847, 236764, 623, 1749, 236779, 6460, 1083, 1847, 236764, 623, 19448, 236779, 8318, 1083, 2416, 236764, 623, 5000, 236779, 11187, 1083, 1847, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236770, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 14801, 236779, 1201, 1083, 623, 34692, 827, 623, 14801, 236779, 3970, 1083, 623, 4070, 827, 623, 3991, 236779, 43289, 236779, 80043, 1083, 623, 152128, 33590, 827, 623, 8245, 1493, 236779, 2291, 7415, 1083, 623, 14151, 97830, 531, 24335, 13448, 1208, 3245, 59295, 236761, 2301, 3892, 528, 236772, 1555, 34637, 18345, 10498, 623, 16350, 236779, 56905, 1083, 3714, 10480, 236779, 725, 10927, 1083, 1847, 236764, 623, 1749, 236779, 6460, 1083, 2416, 236764, 623, 6736, 236779, 1904, 236779, 8245, 1083, 1847, 236764, 623, 19836, 236779, 2289, 236779, 10602, 236779, 2289, 1083, 1847, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236771, 236819, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 2763, 37755, 1083, 623, 40219, 15830, 3660, 531, 2352, 2721, 580, 17286, 12496, 236761, 31246, 16807, 1873, 12159, 1680, 22516, 53926, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 236787, 108, 1018, 94452, 607, 23531, 58386, 128960, 51810, 53121, 108, 236770, 236761, 5213, 27211, 15305, 1018, 568, 126350, 9654, 236768, 107, 139, 236772, 18326, 51810, 236787, 28253, 102465, 236764, 7178, 236786, 14713, 236764, 205325, 236764, 15097, 128960, 107, 139, 236772, 45722, 236787, 45347, 684, 6322, 137576, 6881, 236761, 38232, 3911, 236743, 236770, 236828, 236761, 108, 236778, 236761, 5213, 79932, 1018, 568, 4967, 40777, 236768, 107, 139, 236772, 18326, 51810, 236787, 28253, 102465, 236764, 7178, 236786, 14713, 236764, 17065, 162767, 107, 139, 236772, 45722, 236787, 3657, 6260, 684, 622, 10677, 236863, 236761, 91341, 5510, 531, 114823, 2787, 11361, 236770, 236764, 236810, 236771, 236771, 236761, 108, 236800, 236761, 5213, 34692, 1018, 568, 152128, 33590, 236768, 107, 139, 236772, 18326, 51810, 236787, 28253, 102465, 236764, 22705, 236772, 3771, 236772, 17056, 236764, 35881, 236772, 2866, 236786, 13973, 236772, 2866, 107, 139, 236772, 7918, 236787, 7178, 236786, 14713, 9766, 711, 2487, 2779, 531, 17286, 14523, 236761, 108, 1018, 9272, 50228, 53121, 138, 107, 9366, 5347, 496, 2891, 236786, 80043, 8376, 531, 33205, 506, 6524, 26844, 573, 4241, 15187, 532, 1024, 236786, 6460, 9766, 236761, 669, 6322, 532, 14145, 659, 10325, 573, 2587, 2802, 531, 1800, 2436, 4458, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 859, 817, 607, 506, 3640, 15305, 236789, 236751, 19992, 9654, 573, 1800, 4241, 15187, 532, 1024, 236786, 6460, 9766, 236761, 3792, 236789, 236751, 2426, 506, 6524, 26844, 573, 672, 15284, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 79692, 1083, 3714, 126350, 9654, 1083, 78493, 10480, 1083, 623, 74246, 3640, 7728, 25818, 827, 623, 10480, 236779, 547, 1083, 623, 19476, 236770, 236778, 236800, 236812, 236810, 827, 623, 16350, 1083, 623, 10480, 236779, 3709, 827, 623, 79692, 1083, 3714, 8147, 236779, 6328, 1083, 236743, 236778, 236761, 236800, 236810, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236778, 236764, 623, 14968, 236779, 6328, 1083, 236743, 236800, 236761, 236770, 1263, 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, 3714, 10480, 1083, 623, 123217, 7728, 28724, 827, 623, 10480, 236779, 547, 1083, 623, 19476, 236825, 236832, 236828, 236819, 236771, 827, 623, 16350, 1083, 623, 10480, 236779, 3709, 827, 623, 79692, 1083, 3714, 8147, 236779, 6328, 1083, 236743, 236770, 236761, 236819, 236810, 236764, 623, 6736, 1083, 236743, 236800, 236761, 236812, 236764, 623, 14968, 236779, 6328, 1083, 236743, 236812, 236761, 236771, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236828, 236787, 236771, 236771, 236953, 25938, 1604, 623, 79692, 236779, 5939, 1083, 623, 55817, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 80043, 1083, 623, 818, 756, 80043, 236789, 7689, 7087, 496, 3530, 15284, 5853, 653, 2891, 3393, 531, 8701, 506, 4338, 19595, 236761, 756, 126350, 9654, 236789, 563, 64426, 2180, 496, 2891, 31744, 1781, 19465, 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, 80043, 1083, 623, 818, 5904, 1677, 711, 1894, 1982, 2891, 236786, 80043, 15468, 27490, 236761, 2282, 1694, 4808, 1298, 71035, 17056, 22747, 236764, 1161, 506, 756, 41560, 236789, 5904, 1171, 236761, 669, 756, 79692, 236779, 69069, 236789, 5904, 7087, 3530, 15284, 62606, 653, 4241, 104026, 531, 33205, 26844, 1781, 19465, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 21332, 672, 2918, 684, 2918, 236761, 3792, 236789, 236751, 1171, 1385, 657, 506, 6595, 4241, 14421, 26844, 692, 52236, 236764, 1299, 1586, 496, 1595, 531, 2802, 506, 1024, 236786, 6460, 9766, 236761, 108, 1018, 126350, 9654, 28253, 129421, 139135, 568, 41949, 36353, 1473, 1018, 107, 236770, 236761, 5213, 74246, 3640, 7728, 25818, 1018, 138, 107, 139, 236772, 6863, 13357, 236787, 236743, 236778, 236761, 236800, 236810, 138, 107, 139, 236772, 22705, 236787, 236743, 236800, 236761, 236778, 236771, 138, 107, 139, 236772, 60918, 13357, 236787, 236743, 236800, 236761, 236770, 236771, 138, 108, 236778, 236761, 5213, 123217, 7728, 28724, 1018, 138, 107, 139, 236772, 6863, 13357, 236787, 236743, 236770, 236761, 236819, 236810, 138, 107, 139, 236772, 22705, 236787, 236743, 236800, 236761, 236812, 236771, 138, 107, 139, 236772, 60918, 13357, 236787, 236743, 236812, 236761, 236771, 236771, 138, 108, 7243, 108, 2021, 14245, 506, 8330, 4186, 607, 1024, 236786, 6460, 9766, 236787, 107, 236770, 236761, 669, 9299, 7087, 14481, 2891, 4403, 573, 2953, 9766, 107, 236778, 236761, 1191, 3016, 1281, 506, 19992, 9654, 19681, 531, 506, 6322, 568, 8242, 236768, 699, 1023, 6517, 2891, 38485, 108, 1018, 6481, 786, 2056, 496, 26885, 4313, 531, 974, 1024, 236786, 6460, 26844, 1699, 3530, 4241, 62606, 53121, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10480, 236779, 547, 1083, 623, 19476, 236770, 236778, 236800, 236812, 236810, 827, 623, 80043, 1083, 623, 126350, 9654, 827, 623, 16350, 1083, 623, 1749, 236779, 6460, 827, 623, 79692, 236779, 5939, 1083, 623, 55817, 827, 623, 79692, 1083, 3714, 1749, 236779, 236778, 236779, 236810, 1083, 236743, 236778, 236761, 236812, 236810, 236764, 623, 6460, 236779, 236778, 236779, 236810, 1083, 236743, 236770, 236761, 236810, 236810, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 14210, 1083, 623, 28898, 26844, 753, 16955, 573, 10448, 2979, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4133, 25890, 573, 19992, 9654, 34637, 528, 506, 6322, 236787, 108, 1018, 236770, 236761, 28253, 129421, 139135, 568, 41949, 36353, 1473, 1018, 107, 236772, 5213, 74246, 3640, 7728, 25818, 1018, 568, 19476, 236770, 236778, 236800, 236812, 236810, 236768, 138, 107, 138, 9435, 13357, 236787, 236743, 236778, 236761, 236800, 236810, 1109, 22705, 236787, 236743, 236800, 236761, 236778, 236771, 1109, 60918, 13357, 236787, 236743, 236800, 236761, 236770, 236771, 138, 108, 236772, 5213, 123217, 7728, 28724, 1018, 568, 19476, 236825, 236832, 236828, 236819, 236771, 236768, 138, 107, 138, 9435, 13357, 236787, 236743, 236770, 236761, 236819, 236810, 1109, 22705, 236787, 236743, 236800, 236761, 236812, 236771, 1109, 60918, 13357, 236787, 236743, 236812, 236761, 236771, 236771, 138, 108, 1018, 236778, 236761, 7178, 236786, 14713, 139135, 573, 19127, 3640, 7728, 25818, 1018, 568, 19476, 236770, 236778, 236800, 236812, 236810, 1473, 138, 107, 236772, 7178, 236743, 236778, 236761, 236810, 59836, 236787, 236743, 236778, 236761, 236812, 236810, 138, 107, 236772, 8382, 236743, 236778, 236761, 236810, 59836, 236787, 236743, 236770, 236761, 236810, 236810, 138, 108, 7243, 108, 1018, 3503, 24118, 53121, 138, 107, 236772, 7178, 236786, 6460, 9766, 1660, 3530, 4241, 62606, 531, 33205, 1262, 2779, 531, 17286, 6035, 528, 506, 6322, 138, 107, 236772, 139135, 659, 3892, 532, 4610, 11572, 753, 2426, 99885, 573, 81807, 138, 107, 236772, 669, 19992, 9654, 5469, 1800, 4241, 14421, 532, 1024, 236786, 6460, 9766, 618, 10778, 528, 506, 2891, 12159, 138, 108, 38786, 611, 1133, 531, 2426, 26844, 573, 2264, 4241, 653, 11327, 4767, 9766, 1133, 41125, 2786, 653, 4155, 22718, 236881, 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, 1873, 2436, 1550, 573, 496, 7500, 528, 14600, 1699, 1061, 10945, 7319, 236761, 3792, 236789, 236751, 1502, 607, 7319, 1548, 21593, 236770, 236778, 236800, 236812, 236761, 1637, 600, 4038, 236789, 236745, 994, 4341, 1938, 236764, 2056, 7319, 1548, 73062, 236810, 236825, 236832, 236828, 2148, 236761, 1174, 563, 573, 1041, 4389, 236789, 236751, 40135, 528, 30342, 29150, 1015, 236789, 236751, 4875, 531, 6739, 914, 1295, 532, 3548, 11459, 37731, 1262, 573, 1800, 8657, 532, 52606, 8616, 236761, 3792, 786, 1281, 1144, 611, 1586, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 675, 8408, 1083, 623, 31348, 236770, 236778, 236800, 236812, 827, 623, 179284, 1083, 623, 120803, 827, 623, 131826, 1083, 623, 9521, 36995, 827, 623, 3173, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 45148, 236779, 60032, 1438, 1083, 623, 236794, 236795, 236743, 236819, 236810, 236761, 236771, 236771, 236771, 236764, 236771, 236771, 827, 623, 1516, 236779, 236663, 685, 25538, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7500, 37731, 1262, 52236, 699, 506, 36828, 633, 79293, 7948, 236787, 108, 1018, 50615, 8230, 53121, 107, 236772, 5213, 29105, 32805, 53121, 21593, 236770, 236778, 236800, 236812, 107, 236772, 5213, 13185, 53121, 31601, 107, 236772, 5213, 4968, 53121, 142715, 107, 236772, 5213, 16431, 53121, 236743, 236778, 236771, 236778, 236771, 107, 236772, 5213, 40219, 12155, 53121, 630, 236795, 236743, 236819, 236810, 236761, 236771, 236771, 236771, 236764, 236771, 236771, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236768, 108, 2094, 5125, 37731, 740, 577, 1456, 573, 8657, 8616, 532, 3385, 28125, 236761, 1637, 611, 1202, 531, 16807, 4767, 11182, 653, 735, 1027, 4137, 1003, 672, 1262, 236764, 1531, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2426, 506, 1873, 2436, 1550, 573, 496, 7500, 528, 14600, 1699, 1061, 10945, 7319, 236761, 3792, 236789, 236751, 1502, 607, 7319, 1548, 21593, 236770, 236778, 236800, 236812, 236761, 1637, 600, 4038, 236789, 236745, 994, 4341, 1938, 236764, 2056, 7319, 1548, 73062, 236810, 236825, 236832, 236828, 2148, 236761, 1174, 563, 573, 1041, 4389, 236789, 236751, 40135, 528, 30342, 29150, 1015, 236789, 236751, 4875, 531, 6739, 914, 1295, 532, 3548, 11459, 37731, 1262, 573, 1800, 8657, 532, 52606, 8616, 236761, 3792, 786, 1281, 1144, 611, 1586, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 675, 8408, 1083, 623, 31348, 236770, 236778, 236800, 236812, 827, 623, 179284, 1083, 623, 120803, 827, 623, 131826, 1083, 623, 9521, 36995, 827, 623, 3173, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 45148, 236779, 60032, 1438, 1083, 623, 236794, 236795, 236743, 236819, 236810, 236761, 236771, 236771, 236771, 236764, 236771, 236771, 827, 623, 1516, 236779, 236663, 685, 25538, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7500, 37731, 1262, 52236, 699, 506, 36828, 633, 79293, 7948, 236787, 108, 1018, 50615, 8230, 53121, 107, 236772, 5213, 29105, 32805, 53121, 21593, 236770, 236778, 236800, 236812, 107, 236772, 5213, 13185, 53121, 31601, 107, 236772, 5213, 4968, 53121, 142715, 107, 236772, 5213, 16431, 53121, 236743, 236778, 236771, 236778, 236771, 107, 236772, 5213, 40219, 12155, 53121, 630, 236795, 236743, 236819, 236810, 236761, 236771, 236771, 236771, 236764, 236771, 236771, 568, 527, 529, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236768, 108, 2094, 5125, 37731, 740, 577, 1456, 573, 8657, 8616, 532, 3385, 28125, 236761, 1637, 611, 1202, 531, 16807, 4767, 11182, 653, 735, 1027, 4137, 1003, 672, 1262, 236764, 1531, 786, 1281, 236888, 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, 44426, 3393, 573, 506, 2263, 4083, 5975, 236789, 236751, 16038, 5395, 236761, 3199, 611, 1601, 786, 607, 600, 236881, 106, 107, 105, 4368, 107, 2021, 8729, 496, 44426, 3393, 573, 822, 2263, 4083, 5975, 236789, 236751, 5395, 236764, 564, 1202, 506, 3530, 10739, 1298, 506, 5395, 4889, 659, 22889, 568, 236744, 236761, 236759, 1126, 496, 60400, 607, 506, 3433, 236764, 990, 236764, 4563, 236764, 653, 15020, 3205, 769, 28344, 611, 5091, 4024, 600, 10739, 236881, 9920, 3847, 236764, 564, 236789, 859, 2619, 506, 44426, 3393, 573, 611, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 2619, 496, 44426, 3393, 573, 506, 2263, 4083, 5975, 236789, 236751, 16038, 5395, 236761, 3199, 611, 1601, 786, 607, 600, 236881, 106, 107, 105, 4368, 107, 2021, 8729, 496, 44426, 3393, 573, 822, 2263, 4083, 5975, 236789, 236751, 5395, 236764, 564, 1202, 506, 3530, 10739, 1298, 506, 5395, 4889, 659, 22889, 568, 236744, 236761, 236759, 1126, 496, 60400, 607, 506, 3433, 236764, 990, 236764, 4563, 236764, 653, 15020, 3205, 769, 28344, 611, 5091, 4024, 600, 10739, 236881, 9920, 3847, 236764, 564, 236789, 859, 2619, 506, 44426, 3393, 573, 611, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 2542, 496, 4381, 4598, 528, 22807, 12258, 580, 5365, 236743, 236770, 236771, 594, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 657, 236743, 236770, 236771, 8711, 236764, 1144, 83798, 12762, 795, 577, 528, 506, 7217, 236881, 106, 107, 105, 4368, 107, 2542, 506, 4381, 4598, 528, 22807, 12258, 580, 5365, 236743, 236770, 236771, 594, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 657, 236743, 236770, 236771, 8711, 236764, 1590, 659, 506, 24786, 83798, 12762, 11325, 568, 14210, 600, 506, 5213, 13973, 19656, 1018, 795, 8792, 4208, 27820, 2779, 531, 1061, 36346, 1473, 108, 236770, 236761, 5213, 818, 19656, 66515, 138, 107, 139, 236772, 562, 7804, 10456, 19656, 795, 41932, 506, 7217, 236764, 15213, 2101, 14711, 532, 32848, 1494, 528, 506, 7217, 684, 236743, 236770, 236771, 8711, 236761, 9567, 81520, 795, 15066, 855, 104563, 589, 7751, 236761, 108, 236778, 236761, 5213, 21817, 1713, 66515, 138, 107, 139, 236772, 5213, 236223, 66515, 14533, 528, 506, 16425, 7217, 236764, 6514, 496, 2321, 3885, 1308, 14711, 236761, 1030, 1093, 577, 11325, 21546, 1308, 85083, 840, 1149, 577, 2311, 2708, 653, 3426, 506, 25330, 684, 236743, 236770, 236771, 8711, 236761, 138, 107, 139, 236772, 5213, 45533, 794, 66515, 66399, 528, 506, 13512, 568, 495, 147759, 236768, 1680, 38306, 236764, 834, 625, 1149, 711, 3819, 577, 11325, 657, 236743, 236770, 236771, 8711, 236761, 138, 108, 236800, 236761, 5213, 73833, 833, 10208, 131185, 66515, 138, 107, 139, 236772, 5213, 71869, 236781, 568, 60891, 12713, 62902, 236787, 10635, 495, 2492, 11325, 528, 506, 15891, 7217, 236761, 138, 107, 139, 236772, 5213, 43175, 3030, 43779, 66515, 669, 84720, 4381, 528, 3030, 39824, 236764, 3541, 15997, 236781, 236761, 138, 107, 139, 236772, 5213, 8574, 29934, 66515, 25496, 4381, 528, 3331, 1630, 236764, 1494, 528, 506, 7217, 236761, 138, 107, 139, 236772, 5213, 22092, 65958, 525, 75506, 66515, 669, 25093, 568, 236798, 11448, 236768, 532, 16647, 568, 236773, 11448, 236768, 177250, 525, 75506, 568, 182119, 30676, 236768, 795, 577, 11325, 618, 44770, 236764, 44513, 14958, 528, 506, 15891, 7217, 236761, 138, 108, 236812, 236761, 5213, 36115, 4221, 10957, 66515, 138, 107, 139, 236772, 669, 122167, 10957, 236858, 236751, 7157, 568, 495, 186339, 236768, 795, 577, 15213, 528, 506, 13512, 236764, 840, 134351, 795, 4547, 47834, 1623, 529, 1061, 8052, 236761, 138, 108, 1018, 37639, 522, 33879, 66515, 138, 107, 236772, 30235, 580, 7804, 7751, 1133, 506, 19656, 236764, 15997, 236781, 236764, 532, 3199, 29934, 236761, 138, 107, 236772, 669, 177250, 525, 75506, 2473, 577, 152194, 11325, 3121, 699, 506, 19656, 236858, 236751, 81520, 236761, 138, 107, 236772, 18800, 531, 506, 10456, 19656, 236764, 5571, 5268, 236772, 16012, 37497, 568, 236744, 236761, 236759, 1126, 52396, 108146, 236764, 30676, 236768, 618, 901, 795, 577, 23939, 855, 236761, 138, 108, 53132, 506, 2460, 236888, 236743, 244876, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 2542, 496, 4381, 4598, 528, 22807, 12258, 580, 5365, 236743, 236770, 236771, 594, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 657, 236743, 236770, 236771, 8711, 236764, 1144, 83798, 12762, 795, 577, 528, 506, 7217, 236881, 106, 107, 105, 4368, 107, 2542, 506, 4381, 4598, 528, 22807, 12258, 580, 5365, 236743, 236770, 236771, 594, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 657, 236743, 236770, 236771, 8711, 236764, 1590, 659, 506, 24786, 83798, 12762, 11325, 568, 14210, 600, 506, 5213, 13973, 19656, 1018, 795, 8792, 4208, 27820, 2779, 531, 1061, 36346, 1473, 108, 236770, 236761, 5213, 818, 19656, 66515, 138, 107, 139, 236772, 562, 7804, 10456, 19656, 795, 41932, 506, 7217, 236764, 15213, 2101, 14711, 532, 32848, 1494, 528, 506, 7217, 684, 236743, 236770, 236771, 8711, 236761, 9567, 81520, 795, 15066, 855, 104563, 589, 7751, 236761, 108, 236778, 236761, 5213, 21817, 1713, 66515, 138, 107, 139, 236772, 5213, 236223, 66515, 14533, 528, 506, 16425, 7217, 236764, 6514, 496, 2321, 3885, 1308, 14711, 236761, 1030, 1093, 577, 11325, 21546, 1308, 85083, 840, 1149, 577, 2311, 2708, 653, 3426, 506, 25330, 684, 236743, 236770, 236771, 8711, 236761, 138, 107, 139, 236772, 5213, 45533, 794, 66515, 66399, 528, 506, 13512, 568, 495, 147759, 236768, 1680, 38306, 236764, 834, 625, 1149, 711, 3819, 577, 11325, 657, 236743, 236770, 236771, 8711, 236761, 138, 108, 236800, 236761, 5213, 73833, 833, 10208, 131185, 66515, 138, 107, 139, 236772, 5213, 71869, 236781, 568, 60891, 12713, 62902, 236787, 10635, 495, 2492, 11325, 528, 506, 15891, 7217, 236761, 138, 107, 139, 236772, 5213, 43175, 3030, 43779, 66515, 669, 84720, 4381, 528, 3030, 39824, 236764, 3541, 15997, 236781, 236761, 138, 107, 139, 236772, 5213, 8574, 29934, 66515, 25496, 4381, 528, 3331, 1630, 236764, 1494, 528, 506, 7217, 236761, 138, 107, 139, 236772, 5213, 22092, 65958, 525, 75506, 66515, 669, 25093, 568, 236798, 11448, 236768, 532, 16647, 568, 236773, 11448, 236768, 177250, 525, 75506, 568, 182119, 30676, 236768, 795, 577, 11325, 618, 44770, 236764, 44513, 14958, 528, 506, 15891, 7217, 236761, 138, 108, 236812, 236761, 5213, 36115, 4221, 10957, 66515, 138, 107, 139, 236772, 669, 122167, 10957, 236858, 236751, 7157, 568, 495, 186339, 236768, 795, 577, 15213, 528, 506, 13512, 236764, 840, 134351, 795, 4547, 47834, 1623, 529, 1061, 8052, 236761, 138, 108, 1018, 37639, 522, 33879, 66515, 138, 107, 236772, 30235, 580, 7804, 7751, 1133, 506, 19656, 236764, 15997, 236781, 236764, 532, 3199, 29934, 236761, 138, 107, 236772, 669, 177250, 525, 75506, 2473, 577, 152194, 11325, 3121, 699, 506, 19656, 236858, 236751, 81520, 236761, 138, 107, 236772, 18800, 531, 506, 10456, 19656, 236764, 5571, 5268, 236772, 16012, 37497, 568, 236744, 236761, 236759, 1126, 52396, 108146, 236764, 30676, 236768, 618, 901, 795, 577, 23939, 855, 236761, 138, 108, 53132, 506, 2460, 236888, 236743, 244876, 239794, 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, 2731, 614, 11690, 1610, 32545, 573, 2148, 9735, 236761, 28344, 611, 2426, 506, 7606, 14415, 573, 107768, 236764, 28963, 236881, 564, 1202, 531, 1281, 768, 564, 1374, 7801, 496, 8336, 653, 768, 625, 236789, 236751, 6338, 531, 1076, 872, 528, 506, 4467, 236761, 106, 107, 105, 4368, 107, 236777, 1202, 506, 3530, 4563, 5853, 573, 107768, 236764, 28963, 531, 2426, 506, 7606, 14415, 236761, 28344, 611, 2847, 506, 4709, 31744, 573, 672, 4563, 236881, 1637, 611, 236789, 500, 54538, 236764, 611, 2473, 1461, 531, 2426, 496, 7606, 2509, 1133, 28789, 236761, 854, 573, 506, 4563, 5853, 1171, 236764, 618, 564, 740, 236789, 236745, 1385, 625, 872, 684, 3207, 1463, 236761, 106, 107, 105, 2364, 107, 24019, 236764, 1447, 236764, 564, 18492, 1003, 600, 236761, 564, 1751, 506, 4563, 5853, 573, 107768, 236764, 28963, 563, 2590, 6973, 13708, 236773, 236770, 236778, 236800, 236812, 236810, 236761, 3792, 786, 3972, 236772, 4256, 600, 580, 28789, 236761, 854, 1390, 77886, 236764, 5724, 1133, 600, 236789, 236751, 4338, 236761, 3199, 611, 1161, 600, 5853, 531, 8091, 506, 236743, 236832, 236772, 1496, 14415, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27495, 1083, 623, 236778, 236778, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 827, 623, 77269, 1083, 623, 236825, 236810, 70887, 623, 15879, 236779, 11243, 1083, 623, 236770, 236771, 7251, 236786, 236754, 827, 623, 44340, 1083, 623, 236771, 236761, 236810, 6929, 827, 623, 19216, 1083, 623, 7783, 586, 130915, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 14415, 573, 107768, 236764, 28963, 568, 1735, 236787, 2590, 6973, 13708, 236773, 236770, 236778, 236800, 236812, 236810, 1473, 108, 1018, 8782, 32288, 53121, 107, 236772, 35267, 236787, 236743, 236778, 236778, 237366, 236780, 568, 236832, 236770, 236761, 236825, 237366, 236811, 236768, 107, 236772, 208719, 236787, 236743, 236825, 236810, 236908, 107, 236772, 18324, 23902, 236787, 236743, 236770, 236771, 7251, 236786, 236754, 568, 236825, 236761, 236778, 44269, 236768, 107, 236772, 212775, 236787, 236743, 236771, 236761, 236810, 6929, 568, 3223, 143996, 2653, 236768, 107, 236772, 17488, 236787, 216726, 130915, 108, 1018, 211199, 53121, 138, 107, 818, 7606, 7412, 27661, 573, 614, 11690, 2460, 236888, 3227, 18790, 11139, 236764, 2214, 29146, 236764, 532, 11893, 31632, 236764, 611, 1451, 4547, 1076, 872, 528, 506, 4467, 2180, 496, 8336, 236761, 3153, 236764, 506, 2214, 143996, 2473, 1386, 14581, 8427, 31225, 236764, 834, 611, 1451, 1966, 236787, 107, 236770, 236761, 43083, 522, 496, 8336, 573, 5842, 236786, 661, 6733, 618, 496, 69148, 107, 236778, 236761, 22113, 496, 83158, 11273, 600, 5862, 573, 3823, 12606, 768, 4354, 108, 38786, 611, 1133, 786, 531, 2426, 1027, 1032, 4889, 1003, 506, 4563, 653, 2460, 6995, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 7606, 4610, 236888, 564, 1751, 564, 236789, 859, 817, 7531, 532, 1076, 872, 528, 506, 4467, 840, 2514, 496, 8336, 580, 94204, 1164, 528, 1624, 236761, 7062, 236764, 1651, 692, 236789, 500, 580, 672, 237028, 46052, 611, 2426, 768, 993, 236789, 236751, 496, 2263, 1610, 7073, 4710, 528, 107768, 672, 5312, 236881, 564, 6827, 2613, 1003, 496, 30918, 2203, 580, 6400, 6718, 532, 564, 236858, 236753, 2765, 531, 41049, 236761, 15704, 1161, 506, 7073, 5853, 756, 56162, 236778, 236771, 236778, 236800, 236789, 653, 2613, 1133, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 56162, 236778, 236771, 236778, 236800, 827, 623, 1201, 1083, 623, 167491, 3593, 18943, 147635, 7879, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 827, 623, 4818, 1083, 623, 5034, 827, 623, 13308, 1083, 3714, 14818, 1083, 623, 66057, 42976, 236787, 11493, 33403, 528, 8040, 827, 623, 21853, 1083, 11058, 7765, 6718, 827, 623, 194618, 754, 4556, 827, 623, 170425, 14822, 9252, 14255, 623, 31040, 236779, 92121, 236779, 49357, 1083, 623, 2574, 1411, 236759, 679, 1340, 7244, 236761, 854, 236786, 96078, 827, 623, 162606, 236779, 4818, 1083, 623, 236832, 236828, 236908, 26143, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 1003, 506, 107768, 18943, 147635, 7879, 236787, 108, 1018, 96550, 20303, 53121, 107, 236772, 5213, 1567, 53121, 107768, 18943, 147635, 7879, 568, 1735, 236787, 81474, 236778, 236771, 236778, 236800, 236768, 107, 236772, 5213, 48995, 53121, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1271, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 107, 236772, 5213, 6717, 53121, 23531, 107, 236772, 5213, 11835, 53121, 623, 66057, 42976, 236787, 11493, 33403, 528, 8040, 236775, 107, 236772, 5213, 40975, 53121, 236743, 107, 138, 236772, 6400, 6718, 107, 138, 236772, 70511, 4556, 107, 138, 236772, 48630, 14822, 9252, 107, 236772, 5213, 56051, 40392, 53121, 870, 21737, 1590, 5457, 2574, 1411, 236759, 679, 1340, 7244, 236761, 854, 236786, 96078, 236768, 107, 236772, 5213, 90147, 53121, 236743, 236832, 236828, 236908, 26143, 108, 1018, 232944, 573, 67653, 53121, 138, 107, 10081, 822, 11690, 1610, 32545, 100146, 607, 672, 5158, 30918, 2203, 236764, 611, 1451, 236787, 107, 236770, 236761, 55358, 822, 981, 1343, 910, 8325, 22238, 531, 14846, 25139, 607, 506, 30918, 2203, 107, 236778, 236761, 14066, 4071, 236772, 164002, 822, 2460, 607, 910, 7073, 107, 236800, 236761, 46071, 54257, 7760, 618, 901, 236858, 500, 2036, 12985, 11213, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 496, 15523, 573, 13859, 653, 2426, 1027, 1032, 4889, 1003, 506, 7073, 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 ]
[ 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, 2731, 614, 11690, 1610, 32545, 573, 2148, 9735, 236761, 28344, 611, 2426, 506, 7606, 14415, 573, 107768, 236764, 28963, 236881, 564, 1202, 531, 1281, 768, 564, 1374, 7801, 496, 8336, 653, 768, 625, 236789, 236751, 6338, 531, 1076, 872, 528, 506, 4467, 236761, 106, 107, 105, 4368, 107, 236777, 1202, 506, 3530, 4563, 5853, 573, 107768, 236764, 28963, 531, 2426, 506, 7606, 14415, 236761, 28344, 611, 2847, 506, 4709, 31744, 573, 672, 4563, 236881, 1637, 611, 236789, 500, 54538, 236764, 611, 2473, 1461, 531, 2426, 496, 7606, 2509, 1133, 28789, 236761, 854, 573, 506, 4563, 5853, 1171, 236764, 618, 564, 740, 236789, 236745, 1385, 625, 872, 684, 3207, 1463, 236761, 106, 107, 105, 2364, 107, 24019, 236764, 1447, 236764, 564, 18492, 1003, 600, 236761, 564, 1751, 506, 4563, 5853, 573, 107768, 236764, 28963, 563, 2590, 6973, 13708, 236773, 236770, 236778, 236800, 236812, 236810, 236761, 3792, 786, 3972, 236772, 4256, 600, 580, 28789, 236761, 854, 1390, 77886, 236764, 5724, 1133, 600, 236789, 236751, 4338, 236761, 3199, 611, 1161, 600, 5853, 531, 8091, 506, 236743, 236832, 236772, 1496, 14415, 1492, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27495, 1083, 623, 236778, 236778, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 827, 623, 77269, 1083, 623, 236825, 236810, 70887, 623, 15879, 236779, 11243, 1083, 623, 236770, 236771, 7251, 236786, 236754, 827, 623, 44340, 1083, 623, 236771, 236761, 236810, 6929, 827, 623, 19216, 1083, 623, 7783, 586, 130915, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 14415, 573, 107768, 236764, 28963, 568, 1735, 236787, 2590, 6973, 13708, 236773, 236770, 236778, 236800, 236812, 236810, 1473, 108, 1018, 8782, 32288, 53121, 107, 236772, 35267, 236787, 236743, 236778, 236778, 237366, 236780, 568, 236832, 236770, 236761, 236825, 237366, 236811, 236768, 107, 236772, 208719, 236787, 236743, 236825, 236810, 236908, 107, 236772, 18324, 23902, 236787, 236743, 236770, 236771, 7251, 236786, 236754, 568, 236825, 236761, 236778, 44269, 236768, 107, 236772, 212775, 236787, 236743, 236771, 236761, 236810, 6929, 568, 3223, 143996, 2653, 236768, 107, 236772, 17488, 236787, 216726, 130915, 108, 1018, 211199, 53121, 138, 107, 818, 7606, 7412, 27661, 573, 614, 11690, 2460, 236888, 3227, 18790, 11139, 236764, 2214, 29146, 236764, 532, 11893, 31632, 236764, 611, 1451, 4547, 1076, 872, 528, 506, 4467, 2180, 496, 8336, 236761, 3153, 236764, 506, 2214, 143996, 2473, 1386, 14581, 8427, 31225, 236764, 834, 611, 1451, 1966, 236787, 107, 236770, 236761, 43083, 522, 496, 8336, 573, 5842, 236786, 661, 6733, 618, 496, 69148, 107, 236778, 236761, 22113, 496, 83158, 11273, 600, 5862, 573, 3823, 12606, 768, 4354, 108, 38786, 611, 1133, 786, 531, 2426, 1027, 1032, 4889, 1003, 506, 4563, 653, 2460, 6995, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 7606, 4610, 236888, 564, 1751, 564, 236789, 859, 817, 7531, 532, 1076, 872, 528, 506, 4467, 840, 2514, 496, 8336, 580, 94204, 1164, 528, 1624, 236761, 7062, 236764, 1651, 692, 236789, 500, 580, 672, 237028, 46052, 611, 2426, 768, 993, 236789, 236751, 496, 2263, 1610, 7073, 4710, 528, 107768, 672, 5312, 236881, 564, 6827, 2613, 1003, 496, 30918, 2203, 580, 6400, 6718, 532, 564, 236858, 236753, 2765, 531, 41049, 236761, 15704, 1161, 506, 7073, 5853, 756, 56162, 236778, 236771, 236778, 236800, 236789, 653, 2613, 1133, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 56162, 236778, 236771, 236778, 236800, 827, 623, 1201, 1083, 623, 167491, 3593, 18943, 147635, 7879, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236800, 236771, 827, 623, 4818, 1083, 623, 5034, 827, 623, 13308, 1083, 3714, 14818, 1083, 623, 66057, 42976, 236787, 11493, 33403, 528, 8040, 827, 623, 21853, 1083, 11058, 7765, 6718, 827, 623, 194618, 754, 4556, 827, 623, 170425, 14822, 9252, 14255, 623, 31040, 236779, 92121, 236779, 49357, 1083, 623, 2574, 1411, 236759, 679, 1340, 7244, 236761, 854, 236786, 96078, 827, 623, 162606, 236779, 4818, 1083, 623, 236832, 236828, 236908, 26143, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 1003, 506, 107768, 18943, 147635, 7879, 236787, 108, 1018, 96550, 20303, 53121, 107, 236772, 5213, 1567, 53121, 107768, 18943, 147635, 7879, 568, 1735, 236787, 81474, 236778, 236771, 236778, 236800, 236768, 107, 236772, 5213, 48995, 53121, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1271, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 107, 236772, 5213, 6717, 53121, 23531, 107, 236772, 5213, 11835, 53121, 623, 66057, 42976, 236787, 11493, 33403, 528, 8040, 236775, 107, 236772, 5213, 40975, 53121, 236743, 107, 138, 236772, 6400, 6718, 107, 138, 236772, 70511, 4556, 107, 138, 236772, 48630, 14822, 9252, 107, 236772, 5213, 56051, 40392, 53121, 870, 21737, 1590, 5457, 2574, 1411, 236759, 679, 1340, 7244, 236761, 854, 236786, 96078, 236768, 107, 236772, 5213, 90147, 53121, 236743, 236832, 236828, 236908, 26143, 108, 1018, 232944, 573, 67653, 53121, 138, 107, 10081, 822, 11690, 1610, 32545, 100146, 607, 672, 5158, 30918, 2203, 236764, 611, 1451, 236787, 107, 236770, 236761, 55358, 822, 981, 1343, 910, 8325, 22238, 531, 14846, 25139, 607, 506, 30918, 2203, 107, 236778, 236761, 14066, 4071, 236772, 164002, 822, 2460, 607, 910, 7073, 107, 236800, 236761, 46071, 54257, 7760, 618, 901, 236858, 500, 2036, 12985, 11213, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 496, 15523, 573, 13859, 653, 2426, 1027, 1032, 4889, 1003, 506, 7073, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 2023, 495, 1590, 236888, 564, 236789, 236757, 892, 816, 4776, 872, 1041, 8351, 531, 2480, 25430, 1041, 14049, 532, 1610, 5699, 236764, 532, 564, 236789, 560, 6827, 506, 178275, 3025, 227185, 659, 4346, 10828, 236761, 28344, 611, 1385, 872, 506, 23003, 573, 506, 178275, 3025, 2028, 600, 236789, 236751, 73415, 36048, 236764, 815, 496, 8091, 236772, 3843, 170835, 236764, 532, 496, 236743, 236770, 236761, 236810, 236772, 134563, 236772, 721, 236772, 20353, 2727, 3136, 236881, 564, 1461, 531, 1386, 2889, 625, 236789, 236751, 18944, 607, 1041, 11285, 74447, 19326, 236761, 7062, 236764, 532, 2426, 768, 625, 3952, 528, 496, 28239, 2258, 5086, 1133, 623, 84585, 68939, 236775, 573, 496, 6374, 529, 83397, 236762, 236761, 3792, 786, 1281, 1144, 506, 4456, 3189, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 5467, 3927, 573, 3211, 2721, 580, 4065, 1133, 9009, 236764, 2727, 3136, 236764, 653, 2258, 3835, 1699, 506, 2487, 6436, 236761, 669, 178275, 3025, 43777, 5904, 7087, 496, 3530, 1698, 5853, 531, 33205, 4889, 568, 5282, 623, 47149, 236772, 236828, 236778, 236825, 236771, 4248, 236743, 108, 30092, 611, 2847, 506, 1698, 5853, 573, 506, 2028, 611, 236789, 500, 7467, 528, 236881, 41433, 236764, 611, 2473, 1461, 531, 40919, 178275, 3025, 236789, 236751, 5125, 13382, 4456, 531, 5957, 684, 623, 37474, 236772, 3843, 236775, 8038, 236764, 2426, 23003, 236764, 532, 16807, 2258, 3835, 1133, 623, 84585, 68939, 1781, 3792, 786, 1281, 768, 611, 735, 496, 3530, 2028, 528, 3666, 236888, 106, 107, 105, 2364, 107, 236777, 1460, 236888, 7134, 236764, 564, 1765, 496, 2028, 580, 178275, 3025, 236858, 236751, 3432, 2760, 623, 47149, 236772, 236828, 236778, 236825, 236771, 236772, 10589, 236775, 600, 12853, 506, 73415, 36048, 9009, 532, 8091, 236772, 3843, 170835, 236761, 28344, 611, 2426, 768, 672, 3530, 2028, 815, 506, 236743, 236770, 236761, 236810, 236772, 236759, 3840, 2727, 3136, 532, 3363, 623, 84585, 68939, 236775, 563, 614, 2487, 5086, 236881, 564, 236858, 236753, 2765, 531, 1281, 506, 21212, 2311, 237028, 60766, 901, 2729, 496, 12223, 573, 40102, 236881, 568, 236777, 236858, 859, 19921, 236764, 1041, 6114, 10050, 236858, 236745, 1144, 901, 1456, 531, 577, 236764, 834, 100938, 522, 55455, 563, 496, 3103, 41086, 15520, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 47149, 236772, 236828, 236778, 236825, 236771, 236772, 10589, 827, 623, 5930, 236779, 1201, 1083, 623, 236797, 648, 3025, 63208, 44457, 236772, 8063, 30409, 633, 50552, 827, 623, 10618, 1083, 623, 37474, 236779, 3843, 827, 623, 5690, 8112, 1083, 3714, 5101, 236779, 4720, 236779, 236759, 3840, 1083, 236743, 236770, 236761, 236810, 236764, 623, 50263, 236779, 8194, 1083, 11058, 7320, 10593, 79380, 827, 623, 84585, 68939, 827, 623, 8506, 654, 5561, 14255, 623, 30674, 2435, 236779, 2084, 1083, 623, 37474, 236779, 3843, 827, 623, 166988, 236779, 2084, 1083, 623, 155223, 57745, 23179, 623, 86211, 1083, 3714, 23771, 236779, 9707, 1083, 236743, 236800, 236812, 236819, 236761, 236819, 236810, 236764, 623, 96042, 236779, 70343, 236779, 18700, 1083, 1847, 236764, 623, 70343, 524, 236779, 9707, 1083, 236743, 236800, 236770, 236812, 236761, 236819, 236810, 236764, 623, 27617, 1083, 623, 65742, 23179, 623, 56905, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 14973, 236779, 5909, 1083, 623, 11480, 827, 623, 51183, 236779, 81907, 1083, 623, 236778, 236772, 236800, 1960, 2668, 23179, 623, 16518, 1083, 3714, 28883, 236779, 7656, 236779, 19217, 1083, 2416, 236764, 623, 33422, 236779, 50355, 1083, 1847, 236764, 623, 7632, 236779, 70687, 236779, 13126, 1083, 623, 236812, 8197, 23179, 623, 5930, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 118148, 3025, 236761, 854, 236761, 826, 236786, 17870, 236786, 3633, 3509, 236772, 37474, 236772, 3843, 236772, 27288, 236772, 236828, 236778, 236825, 236771, 236772, 12473, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 506, 5213, 236797, 648, 3025, 63208, 44457, 236772, 8063, 30409, 633, 50552, 568, 47149, 236772, 236828, 236778, 236825, 236771, 236772, 10589, 62902, 236787, 108, 236772, 5213, 24569, 25870, 66515, 236743, 236770, 236761, 236810, 39813, 810, 9641, 568, 25541, 822, 13469, 113452, 769, 138, 107, 236772, 5213, 50314, 28636, 66515, 49308, 5213, 84585, 68939, 1018, 568, 18700, 15520, 532, 201262, 79380, 113452, 236761, 138, 107, 236772, 5213, 110873, 66515, 138, 107, 138, 236772, 13029, 236787, 5213, 236795, 236800, 236812, 236819, 236761, 236819, 236810, 72939, 1018, 138, 107, 138, 236772, 19563, 66272, 236787, 5213, 236795, 236800, 236770, 236812, 236761, 236819, 236810, 72939, 1018, 568, 236770, 236771, 236908, 1135, 607, 7724, 529, 40243, 113452, 769, 138, 107, 236772, 5213, 51164, 66515, 799, 2862, 568, 11480, 2862, 1984, 236768, 607, 5213, 236778, 236964, 236800, 1960, 1719, 8341, 1018, 113452, 236761, 138, 108, 27779, 4065, 236787, 26458, 13064, 12881, 532, 236743, 236812, 236772, 7991, 1813, 9286, 14470, 236761, 138, 108, 2542, 4889, 236764, 3517, 506, 1698, 3104, 236787, 870, 236797, 648, 3025, 63208, 633, 50552, 5457, 2574, 1411, 2769, 236761, 118148, 3025, 236761, 854, 236761, 826, 236786, 17870, 236786, 3633, 3509, 236772, 37474, 236772, 3843, 236772, 27288, 236772, 236828, 236778, 236825, 236771, 236772, 12473, 769, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 1601, 236888, 103453, 106, 107, 105, 2364, 107, 2094, 87223, 12054, 4011, 573, 1041, 3548, 236888, 669, 2727, 3136, 532, 44464, 68939, 2258, 659, 7121, 1144, 564, 26769, 573, 236761, 4224, 236764, 564, 236858, 236757, 23210, 768, 506, 5213, 228048, 14628, 1018, 573, 506, 57484, 236772, 236828, 236778, 236825, 236771, 236772, 10589, 563, 18944, 607, 1041, 5213, 27854, 74447, 19326, 1018, 568, 7650, 815, 496, 55782, 12377, 769, 28344, 611, 2426, 506, 1698, 23003, 573, 506, 5213, 228048, 8744, 2644, 1018, 653, 5213, 34433, 14733, 6035, 1018, 236881, 6542, 236764, 1677, 506, 9550, 12223, 5510, 11269, 657, 42290, 236764, 653, 776, 564, 1202, 531, 4553, 7724, 529, 40243, 21112, 236881, 564, 236858, 236753, 2765, 531, 7162, 607, 672, 7408, 840, 1461, 531, 5330, 625, 19009, 1041, 10884, 1680, 24121, 236761, 11017, 573, 822, 31245, 236888, 103453, 106, 107, 105, 4368, 107, 818, 1698, 23003, 52236, 1537, 236858, 236745, 3204, 4889, 1003, 5213, 228048, 8744, 2644, 1018, 653, 5213, 34433, 14733, 6035, 1018, 573, 506, 57484, 236772, 236828, 236778, 236825, 236771, 236772, 10589, 236761, 2282, 9128, 37031, 607, 822, 11285, 74447, 19326, 236858, 236751, 55782, 12377, 236764, 564, 5840, 236787, 138, 107, 236770, 236761, 81573, 506, 5213, 5930, 12040, 1018, 568, 21903, 580, 506, 870, 5930, 3104, 5457, 2574, 1411, 2769, 236761, 118148, 3025, 236761, 854, 236761, 826, 236786, 17870, 236786, 3633, 3509, 236772, 37474, 236772, 3843, 236772, 27288, 236772, 236828, 236778, 236825, 236771, 236772, 12473, 1223, 573, 11764, 6035, 236761, 138, 107, 236778, 236761, 13948, 522, 178275, 3025, 236858, 236751, 13382, 5602, 1894, 5467, 568, 15218, 506, 4456, 236858, 236751, 623, 11431, 5061, 236775, 1183, 236768, 573, 18997, 32812, 4889, 236761, 138, 108, 2542, 506, 5213, 96042, 12223, 66515, 669, 5904, 3072, 11387, 625, 236858, 236751, 2487, 236764, 840, 506, 1657, 5889, 236858, 236745, 9155, 236761, 50338, 236764, 9550, 36498, 1660, 7724, 529, 40243, 568, 236744, 236761, 236759, 1126, 496, 4429, 529, 496, 3251, 236772, 106402, 5853, 653, 9550, 3733, 236768, 4323, 4553, 653, 1913, 42290, 236761, 1599, 1149, 1202, 531, 236787, 138, 107, 236772, 19955, 7724, 531, 178275, 3025, 236858, 236751, 2434, 5213, 15849, 42290, 1018, 568, 4256, 506, 1698, 3104, 573, 11808, 779, 653, 138, 107, 236772, 30839, 496, 12223, 3393, 657, 42290, 568, 584, 38951, 769, 138, 108, 2859, 611, 236858, 236753, 1133, 236764, 564, 740, 1601, 12262, 614, 4553, 531, 178275, 3025, 236858, 236751, 1894, 2434, 531, 37386, 1800, 506, 5213, 228048, 6035, 1018, 532, 5213, 70343, 1657, 1018, 236888, 3792, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 7162, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 2023, 495, 1590, 236888, 564, 236789, 236757, 892, 816, 4776, 872, 1041, 8351, 531, 2480, 25430, 1041, 14049, 532, 1610, 5699, 236764, 532, 564, 236789, 560, 6827, 506, 178275, 3025, 227185, 659, 4346, 10828, 236761, 28344, 611, 1385, 872, 506, 23003, 573, 506, 178275, 3025, 2028, 600, 236789, 236751, 73415, 36048, 236764, 815, 496, 8091, 236772, 3843, 170835, 236764, 532, 496, 236743, 236770, 236761, 236810, 236772, 134563, 236772, 721, 236772, 20353, 2727, 3136, 236881, 564, 1461, 531, 1386, 2889, 625, 236789, 236751, 18944, 607, 1041, 11285, 74447, 19326, 236761, 7062, 236764, 532, 2426, 768, 625, 3952, 528, 496, 28239, 2258, 5086, 1133, 623, 84585, 68939, 236775, 573, 496, 6374, 529, 83397, 236762, 236761, 3792, 786, 1281, 1144, 506, 4456, 3189, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 5467, 3927, 573, 3211, 2721, 580, 4065, 1133, 9009, 236764, 2727, 3136, 236764, 653, 2258, 3835, 1699, 506, 2487, 6436, 236761, 669, 178275, 3025, 43777, 5904, 7087, 496, 3530, 1698, 5853, 531, 33205, 4889, 568, 5282, 623, 47149, 236772, 236828, 236778, 236825, 236771, 4248, 236743, 108, 30092, 611, 2847, 506, 1698, 5853, 573, 506, 2028, 611, 236789, 500, 7467, 528, 236881, 41433, 236764, 611, 2473, 1461, 531, 40919, 178275, 3025, 236789, 236751, 5125, 13382, 4456, 531, 5957, 684, 623, 37474, 236772, 3843, 236775, 8038, 236764, 2426, 23003, 236764, 532, 16807, 2258, 3835, 1133, 623, 84585, 68939, 1781, 3792, 786, 1281, 768, 611, 735, 496, 3530, 2028, 528, 3666, 236888, 106, 107, 105, 2364, 107, 236777, 1460, 236888, 7134, 236764, 564, 1765, 496, 2028, 580, 178275, 3025, 236858, 236751, 3432, 2760, 623, 47149, 236772, 236828, 236778, 236825, 236771, 236772, 10589, 236775, 600, 12853, 506, 73415, 36048, 9009, 532, 8091, 236772, 3843, 170835, 236761, 28344, 611, 2426, 768, 672, 3530, 2028, 815, 506, 236743, 236770, 236761, 236810, 236772, 236759, 3840, 2727, 3136, 532, 3363, 623, 84585, 68939, 236775, 563, 614, 2487, 5086, 236881, 564, 236858, 236753, 2765, 531, 1281, 506, 21212, 2311, 237028, 60766, 901, 2729, 496, 12223, 573, 40102, 236881, 568, 236777, 236858, 859, 19921, 236764, 1041, 6114, 10050, 236858, 236745, 1144, 901, 1456, 531, 577, 236764, 834, 100938, 522, 55455, 563, 496, 3103, 41086, 15520, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 47149, 236772, 236828, 236778, 236825, 236771, 236772, 10589, 827, 623, 5930, 236779, 1201, 1083, 623, 236797, 648, 3025, 63208, 44457, 236772, 8063, 30409, 633, 50552, 827, 623, 10618, 1083, 623, 37474, 236779, 3843, 827, 623, 5690, 8112, 1083, 3714, 5101, 236779, 4720, 236779, 236759, 3840, 1083, 236743, 236770, 236761, 236810, 236764, 623, 50263, 236779, 8194, 1083, 11058, 7320, 10593, 79380, 827, 623, 84585, 68939, 827, 623, 8506, 654, 5561, 14255, 623, 30674, 2435, 236779, 2084, 1083, 623, 37474, 236779, 3843, 827, 623, 166988, 236779, 2084, 1083, 623, 155223, 57745, 23179, 623, 86211, 1083, 3714, 23771, 236779, 9707, 1083, 236743, 236800, 236812, 236819, 236761, 236819, 236810, 236764, 623, 96042, 236779, 70343, 236779, 18700, 1083, 1847, 236764, 623, 70343, 524, 236779, 9707, 1083, 236743, 236800, 236770, 236812, 236761, 236819, 236810, 236764, 623, 27617, 1083, 623, 65742, 23179, 623, 56905, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 14973, 236779, 5909, 1083, 623, 11480, 827, 623, 51183, 236779, 81907, 1083, 623, 236778, 236772, 236800, 1960, 2668, 23179, 623, 16518, 1083, 3714, 28883, 236779, 7656, 236779, 19217, 1083, 2416, 236764, 623, 33422, 236779, 50355, 1083, 1847, 236764, 623, 7632, 236779, 70687, 236779, 13126, 1083, 623, 236812, 8197, 23179, 623, 5930, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 118148, 3025, 236761, 854, 236761, 826, 236786, 17870, 236786, 3633, 3509, 236772, 37474, 236772, 3843, 236772, 27288, 236772, 236828, 236778, 236825, 236771, 236772, 12473, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 506, 5213, 236797, 648, 3025, 63208, 44457, 236772, 8063, 30409, 633, 50552, 568, 47149, 236772, 236828, 236778, 236825, 236771, 236772, 10589, 62902, 236787, 108, 236772, 5213, 24569, 25870, 66515, 236743, 236770, 236761, 236810, 39813, 810, 9641, 568, 25541, 822, 13469, 113452, 769, 138, 107, 236772, 5213, 50314, 28636, 66515, 49308, 5213, 84585, 68939, 1018, 568, 18700, 15520, 532, 201262, 79380, 113452, 236761, 138, 107, 236772, 5213, 110873, 66515, 138, 107, 138, 236772, 13029, 236787, 5213, 236795, 236800, 236812, 236819, 236761, 236819, 236810, 72939, 1018, 138, 107, 138, 236772, 19563, 66272, 236787, 5213, 236795, 236800, 236770, 236812, 236761, 236819, 236810, 72939, 1018, 568, 236770, 236771, 236908, 1135, 607, 7724, 529, 40243, 113452, 769, 138, 107, 236772, 5213, 51164, 66515, 799, 2862, 568, 11480, 2862, 1984, 236768, 607, 5213, 236778, 236964, 236800, 1960, 1719, 8341, 1018, 113452, 236761, 138, 108, 27779, 4065, 236787, 26458, 13064, 12881, 532, 236743, 236812, 236772, 7991, 1813, 9286, 14470, 236761, 138, 108, 2542, 4889, 236764, 3517, 506, 1698, 3104, 236787, 870, 236797, 648, 3025, 63208, 633, 50552, 5457, 2574, 1411, 2769, 236761, 118148, 3025, 236761, 854, 236761, 826, 236786, 17870, 236786, 3633, 3509, 236772, 37474, 236772, 3843, 236772, 27288, 236772, 236828, 236778, 236825, 236771, 236772, 12473, 769, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 1601, 236888, 103453, 106, 107, 105, 2364, 107, 2094, 87223, 12054, 4011, 573, 1041, 3548, 236888, 669, 2727, 3136, 532, 44464, 68939, 2258, 659, 7121, 1144, 564, 26769, 573, 236761, 4224, 236764, 564, 236858, 236757, 23210, 768, 506, 5213, 228048, 14628, 1018, 573, 506, 57484, 236772, 236828, 236778, 236825, 236771, 236772, 10589, 563, 18944, 607, 1041, 5213, 27854, 74447, 19326, 1018, 568, 7650, 815, 496, 55782, 12377, 769, 28344, 611, 2426, 506, 1698, 23003, 573, 506, 5213, 228048, 8744, 2644, 1018, 653, 5213, 34433, 14733, 6035, 1018, 236881, 6542, 236764, 1677, 506, 9550, 12223, 5510, 11269, 657, 42290, 236764, 653, 776, 564, 1202, 531, 4553, 7724, 529, 40243, 21112, 236881, 564, 236858, 236753, 2765, 531, 7162, 607, 672, 7408, 840, 1461, 531, 5330, 625, 19009, 1041, 10884, 1680, 24121, 236761, 11017, 573, 822, 31245, 236888, 103453, 106, 107, 105, 4368, 107, 818, 1698, 23003, 52236, 1537, 236858, 236745, 3204, 4889, 1003, 5213, 228048, 8744, 2644, 1018, 653, 5213, 34433, 14733, 6035, 1018, 573, 506, 57484, 236772, 236828, 236778, 236825, 236771, 236772, 10589, 236761, 2282, 9128, 37031, 607, 822, 11285, 74447, 19326, 236858, 236751, 55782, 12377, 236764, 564, 5840, 236787, 138, 107, 236770, 236761, 81573, 506, 5213, 5930, 12040, 1018, 568, 21903, 580, 506, 870, 5930, 3104, 5457, 2574, 1411, 2769, 236761, 118148, 3025, 236761, 854, 236761, 826, 236786, 17870, 236786, 3633, 3509, 236772, 37474, 236772, 3843, 236772, 27288, 236772, 236828, 236778, 236825, 236771, 236772, 12473, 1223, 573, 11764, 6035, 236761, 138, 107, 236778, 236761, 13948, 522, 178275, 3025, 236858, 236751, 13382, 5602, 1894, 5467, 568, 15218, 506, 4456, 236858, 236751, 623, 11431, 5061, 236775, 1183, 236768, 573, 18997, 32812, 4889, 236761, 138, 108, 2542, 506, 5213, 96042, 12223, 66515, 669, 5904, 3072, 11387, 625, 236858, 236751, 2487, 236764, 840, 506, 1657, 5889, 236858, 236745, 9155, 236761, 50338, 236764, 9550, 36498, 1660, 7724, 529, 40243, 568, 236744, 236761, 236759, 1126, 496, 4429, 529, 496, 3251, 236772, 106402, 5853, 653, 9550, 3733, 236768, 4323, 4553, 653, 1913, 42290, 236761, 1599, 1149, 1202, 531, 236787, 138, 107, 236772, 19955, 7724, 531, 178275, 3025, 236858, 236751, 2434, 5213, 15849, 42290, 1018, 568, 4256, 506, 1698, 3104, 573, 11808, 779, 653, 138, 107, 236772, 30839, 496, 12223, 3393, 657, 42290, 568, 584, 38951, 769, 138, 108, 2859, 611, 236858, 236753, 1133, 236764, 564, 740, 1601, 12262, 614, 4553, 531, 178275, 3025, 236858, 236751, 1894, 2434, 531, 37386, 1800, 506, 5213, 228048, 6035, 1018, 532, 5213, 70343, 1657, 1018, 236888, 3792, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 7162, 236761, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1765, 672, 4676, 1003, 16038, 1610, 52923, 528, 88539, 532, 564, 1461, 531, 5433, 1679, 506, 2307, 4889, 236761, 3199, 611, 1161, 506, 1447, 5904, 531, 8430, 784, 506, 14069, 236764, 11024, 236764, 532, 8325, 5618, 6950, 236881, 5715, 236789, 236751, 506, 1816, 236787, 756, 818, 18605, 11109, 236858, 236751, 5312, 32545, 8784, 5505, 236743, 236770, 236778, 236772, 36022, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 18482, 4146, 684, 20222, 11421, 1133, 35398, 2149, 30641, 532, 131402, 73590, 657, 910, 236743, 236770, 236778, 236810, 594, 6718, 19573, 236761, 562, 2803, 11764, 684, 103904, 107691, 24148, 795, 16056, 5729, 236743, 236770, 236828, 7085, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20967, 1083, 78493, 2394, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236770, 236778, 827, 623, 2084, 1083, 623, 3041, 236779, 1896, 23179, 3714, 2394, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236800, 236771, 827, 623, 2084, 1083, 623, 643, 236779, 1896, 23179, 3714, 2394, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236770, 236828, 827, 623, 2084, 1083, 623, 5106, 236779, 1896, 25938, 1604, 623, 21853, 1083, 78493, 1201, 1083, 623, 42776, 11109, 827, 623, 2084, 1083, 623, 31108, 23179, 3714, 1201, 1083, 623, 236770, 236778, 236810, 594, 6718, 827, 623, 2084, 1083, 623, 30419, 236779, 7720, 25938, 1604, 623, 84524, 1083, 78493, 1201, 1083, 623, 119137, 2149, 30641, 827, 623, 10639, 1083, 623, 31040, 23179, 3714, 1201, 1083, 623, 56839, 514, 73590, 827, 623, 10639, 1083, 623, 31040, 23179, 3714, 1201, 1083, 623, 236788, 96495, 24148, 827, 623, 10639, 1083, 623, 1166, 18115, 504, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 2307, 4889, 23583, 699, 506, 1816, 236787, 108, 1018, 48995, 53121, 107, 236772, 18943, 32545, 236787, 5505, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 531, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 107, 236772, 107691, 24148, 11764, 236787, 5729, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 108, 1018, 40975, 53121, 107, 236772, 18605, 11109, 568, 31108, 236768, 107, 236772, 236743, 236770, 236778, 236810, 594, 6718, 19573, 568, 30419, 3421, 236768, 108, 1018, 140226, 53121, 107, 236772, 35398, 2149, 30641, 568, 30131, 3801, 8325, 236768, 107, 236772, 131402, 73590, 568, 30131, 3801, 8325, 236768, 107, 236772, 107691, 24148, 568, 1166, 18115, 504, 236768, 108, 2094, 31044, 1938, 41080, 784, 506, 6749, 19520, 4889, 6950, 528, 506, 1816, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1765, 672, 4676, 1003, 16038, 1610, 52923, 528, 88539, 532, 564, 1461, 531, 5433, 1679, 506, 2307, 4889, 236761, 3199, 611, 1161, 506, 1447, 5904, 531, 8430, 784, 506, 14069, 236764, 11024, 236764, 532, 8325, 5618, 6950, 236881, 5715, 236789, 236751, 506, 1816, 236787, 756, 818, 18605, 11109, 236858, 236751, 5312, 32545, 8784, 5505, 236743, 236770, 236778, 236772, 36022, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 18482, 4146, 684, 20222, 11421, 1133, 35398, 2149, 30641, 532, 131402, 73590, 657, 910, 236743, 236770, 236778, 236810, 594, 6718, 19573, 236761, 562, 2803, 11764, 684, 103904, 107691, 24148, 795, 16056, 5729, 236743, 236770, 236828, 7085, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20967, 1083, 78493, 2394, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236770, 236778, 827, 623, 2084, 1083, 623, 3041, 236779, 1896, 23179, 3714, 2394, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236800, 236771, 827, 623, 2084, 1083, 623, 643, 236779, 1896, 23179, 3714, 2394, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236770, 236828, 827, 623, 2084, 1083, 623, 5106, 236779, 1896, 25938, 1604, 623, 21853, 1083, 78493, 1201, 1083, 623, 42776, 11109, 827, 623, 2084, 1083, 623, 31108, 23179, 3714, 1201, 1083, 623, 236770, 236778, 236810, 594, 6718, 827, 623, 2084, 1083, 623, 30419, 236779, 7720, 25938, 1604, 623, 84524, 1083, 78493, 1201, 1083, 623, 119137, 2149, 30641, 827, 623, 10639, 1083, 623, 31040, 23179, 3714, 1201, 1083, 623, 56839, 514, 73590, 827, 623, 10639, 1083, 623, 31040, 23179, 3714, 1201, 1083, 623, 236788, 96495, 24148, 827, 623, 10639, 1083, 623, 1166, 18115, 504, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 2307, 4889, 23583, 699, 506, 1816, 236787, 108, 1018, 48995, 53121, 107, 236772, 18943, 32545, 236787, 5505, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 531, 5857, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 107, 236772, 107691, 24148, 11764, 236787, 5729, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236812, 108, 1018, 40975, 53121, 107, 236772, 18605, 11109, 568, 31108, 236768, 107, 236772, 236743, 236770, 236778, 236810, 594, 6718, 19573, 568, 30419, 3421, 236768, 108, 1018, 140226, 53121, 107, 236772, 35398, 2149, 30641, 568, 30131, 3801, 8325, 236768, 107, 236772, 131402, 73590, 568, 30131, 3801, 8325, 236768, 107, 236772, 107691, 24148, 568, 1166, 18115, 504, 236768, 108, 2094, 31044, 1938, 41080, 784, 506, 6749, 19520, 4889, 6950, 528, 506, 1816, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 35329, 506, 3399, 7972, 2203, 15523, 573, 21444, 17587, 236789, 236751, 10974, 1948, 236764, 532, 564, 1202, 1601, 32187, 506, 2354, 236789, 236751, 3904, 532, 3004, 236761, 5715, 236789, 236751, 1144, 564, 236789, 236753, 1133, 611, 531, 776, 236787, 236743, 236770, 236761, 5315, 236764, 8430, 784, 23974, 699, 506, 3847, 1816, 1003, 506, 2203, 236789, 236751, 11213, 3336, 236761, 236743, 236778, 236761, 1701, 1546, 13315, 7906, 26680, 2979, 236764, 7352, 506, 40155, 4171, 1131, 5396, 4945, 236761, 236743, 236800, 236761, 49644, 1027, 9780, 236764, 14069, 236764, 532, 16688, 2979, 6950, 528, 506, 11213, 3336, 236761, 236743, 236812, 236761, 13472, 236764, 2426, 506, 4688, 529, 10808, 528, 506, 23974, 24048, 12524, 7675, 531, 5330, 29972, 573, 3184, 15021, 236761, 5715, 236789, 236751, 506, 1816, 531, 18840, 236787, 623, 818, 3399, 7972, 2203, 236764, 26143, 684, 506, 7086, 111524, 11032, 236764, 815, 496, 7715, 529, 886, 7549, 13460, 11092, 532, 17269, 531, 39138, 25454, 2263, 10974, 684, 506, 1051, 236743, 236778, 236771, 236778, 236810, 236761, 1174, 17358, 795, 6778, 1023, 1873, 7972, 2557, 684, 236743, 236800, 236771, 236771, 236908, 532, 2619, 12571, 236772, 21716, 861, 8675, 21622, 236761, 669, 1948, 6987, 14287, 600, 1546, 5117, 795, 2171, 886, 7549, 25454, 15176, 529, 6360, 24321, 1781, 3792, 236789, 236751, 1502, 607, 13315, 23680, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 54921, 1083, 11058, 818, 3399, 7972, 2203, 236764, 26143, 684, 506, 7086, 111524, 11032, 236764, 815, 496, 7715, 529, 886, 7549, 13460, 11092, 532, 17269, 531, 39138, 25454, 2263, 10974, 684, 506, 1051, 236743, 236778, 236771, 236778, 236810, 10498, 623, 2094, 17358, 795, 6778, 1023, 1873, 7972, 2557, 684, 236743, 236800, 236771, 236771, 236908, 532, 2619, 12571, 236772, 21716, 861, 8675, 21622, 10498, 623, 818, 1948, 6987, 14287, 600, 1546, 5117, 795, 2171, 886, 7549, 25454, 15176, 529, 6360, 24321, 1781, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236770, 236771, 236771, 236771, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 47792, 1083, 78493, 11128, 1083, 623, 17224, 111524, 11032, 827, 623, 2084, 1083, 623, 97346, 827, 623, 2394, 1083, 623, 17224, 111524, 11032, 23179, 3714, 11128, 1083, 623, 811, 7549, 13460, 11092, 827, 623, 2084, 1083, 623, 28535, 6594, 827, 623, 2394, 1083, 623, 811, 7549, 13460, 11092, 23179, 3714, 11128, 1083, 623, 226519, 827, 623, 2084, 1083, 623, 140094, 55581, 827, 623, 2394, 1083, 623, 226519, 23179, 3714, 11128, 1083, 623, 236778, 236771, 236778, 236810, 827, 623, 2084, 1083, 623, 21696, 827, 623, 2394, 1083, 623, 236778, 236771, 236778, 236810, 23179, 3714, 11128, 1083, 623, 236800, 236771, 236771, 70887, 623, 2084, 1083, 623, 226816, 827, 623, 2394, 1083, 623, 236800, 236771, 236771, 171446, 3714, 11128, 1083, 623, 157805, 236772, 21716, 827, 623, 2084, 1083, 623, 140094, 55581, 827, 623, 2394, 1083, 623, 157805, 236772, 21716, 23179, 3714, 11128, 1083, 623, 811, 7549, 25454, 827, 623, 2084, 1083, 623, 140094, 55581, 827, 623, 2394, 1083, 623, 811, 7549, 25454, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 28263, 1083, 78493, 3017, 1083, 623, 818, 827, 623, 1163, 1083, 623, 44654, 6523, 827, 623, 9088, 1083, 623, 18540, 23179, 3714, 3017, 1083, 623, 37939, 827, 623, 1163, 1083, 623, 4036, 38847, 827, 623, 9088, 1083, 623, 80166, 23179, 3714, 3017, 1083, 623, 45312, 827, 623, 1163, 1083, 623, 182340, 827, 623, 9088, 1083, 623, 13200, 23179, 3714, 3017, 1083, 623, 6201, 827, 623, 1163, 1083, 623, 182340, 827, 623, 9088, 1083, 623, 13200, 23179, 3714, 3017, 1083, 187791, 623, 1163, 1083, 623, 236791, 23733, 3145, 827, 623, 9088, 1083, 46583, 1263, 3714, 3017, 1083, 623, 61827, 827, 623, 1163, 1083, 623, 85157, 827, 623, 9088, 1083, 623, 236847, 10589, 23179, 3714, 3017, 1083, 623, 2003, 827, 623, 1163, 1083, 623, 3695, 3473, 827, 623, 9088, 1083, 623, 1204, 23179, 3714, 3017, 1083, 623, 1437, 827, 623, 1163, 1083, 623, 44654, 6523, 827, 623, 9088, 1083, 623, 18540, 23179, 3714, 3017, 1083, 623, 17224, 111524, 827, 623, 1163, 1083, 623, 125163, 646, 1522, 827, 623, 9088, 1083, 623, 13200, 236791, 23179, 3714, 3017, 1083, 623, 45361, 827, 623, 1163, 1083, 623, 125163, 646, 1522, 827, 623, 9088, 1083, 623, 13200, 236791, 23179, 3714, 3017, 1083, 187791, 623, 1163, 1083, 623, 236791, 23733, 3145, 827, 623, 9088, 1083, 46583, 1263, 3714, 3017, 1083, 623, 5594, 827, 623, 1163, 1083, 623, 85157, 827, 623, 9088, 1083, 623, 65626, 236953, 23179, 3714, 3017, 1083, 623, 236746, 827, 623, 1163, 1083, 623, 44654, 6523, 827, 623, 9088, 1083, 623, 18540, 23179, 3714, 3017, 1083, 623, 51128, 827, 623, 1163, 1083, 623, 182340, 827, 623, 9088, 1083, 623, 13200, 23179, 3714, 3017, 1083, 623, 1340, 827, 623, 1163, 1083, 623, 3695, 3473, 827, 623, 9088, 1083, 623, 1204, 23179, 3714, 3017, 1083, 623, 811, 827, 623, 1163, 1083, 623, 4452, 827, 623, 9088, 1083, 623, 6329, 23179, 3714, 3017, 1083, 623, 96498, 827, 623, 1163, 1083, 623, 4452, 827, 623, 9088, 1083, 623, 6329, 23179, 3714, 3017, 1083, 623, 178382, 827, 623, 1163, 1083, 623, 4452, 827, 623, 9088, 1083, 623, 6329, 23179, 3714, 3017, 1083, 623, 145915, 827, 623, 1163, 1083, 623, 182340, 827, 623, 9088, 1083, 623, 236797, 6510, 23179, 3714, 3017, 1083, 623, 624, 827, 623, 1163, 1083, 623, 1505, 74045, 827, 623, 9088, 1083, 623, 3129, 23179, 3714, 3017, 1083, 623, 2646, 236751, 827, 623, 1163, 1083, 623, 85157, 827, 623, 9088, 1083, 623, 65626, 236953, 23179, 3714, 3017, 1083, 623, 1071, 827, 623, 1163, 1083, 623, 85979, 827, 623, 9088, 1083, 623, 6257, 23179, 3714, 3017, 1083, 623, 29092, 606, 827, 623, 1163, 1083, 623, 85157, 827, 623, 9088, 1083, 623, 65626, 23179, 3714, 3017, 1083, 623, 226519, 827, 623, 1163, 1083, 623, 4452, 827, 623, 9088, 1083, 623, 6329, 23179, 3714, 3017, 1083, 623, 6047, 827, 623, 1163, 1083, 623, 4036, 38847, 827, 623, 9088, 1083, 623, 80166, 23179, 3714, 3017, 1083, 623, 149267, 827, 623, 1163, 1083, 623, 182340, 827, 623, 9088, 1083, 623, 13200, 23179, 3714, 3017, 1083, 623, 2003, 827, 623, 1163, 1083, 623, 3695, 3473, 827, 623, 9088, 1083, 623, 1204, 23179, 3714, 3017, 1083, 623, 1437, 827, 623, 1163, 1083, 623, 44654, 6523, 827, 623, 9088, 1083, 623, 18540, 23179, 3714, 3017, 1083, 623, 3704, 827, 623, 1163, 1083, 623, 182340, 827, 623, 9088, 1083, 623, 13200, 23179, 3714, 3017, 1083, 623, 236778, 236771, 236778, 236810, 827, 623, 1163, 1083, 623, 4452, 827, 623, 9088, 1083, 623, 6329, 23179, 3714, 3017, 1083, 82946, 623, 1163, 1083, 623, 236791, 23733, 3145, 827, 623, 9088, 1083, 87460, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 506, 11213, 3336, 2721, 580, 822, 6035, 236787, 108, 236770, 236761, 5213, 138895, 106157, 66515, 107, 139, 236772, 623, 818, 3399, 7972, 2203, 236764, 26143, 684, 506, 7086, 111524, 11032, 236764, 815, 496, 7715, 529, 886, 7549, 13460, 11092, 532, 17269, 531, 39138, 25454, 2263, 10974, 684, 506, 1051, 236743, 236778, 236771, 236778, 236810, 1781, 107, 139, 236772, 623, 2094, 17358, 795, 6778, 1023, 1873, 7972, 2557, 684, 236743, 236800, 236771, 236771, 236908, 532, 2619, 12571, 236772, 21716, 861, 8675, 21622, 1781, 107, 139, 236772, 623, 818, 1948, 6987, 14287, 600, 1546, 5117, 795, 2171, 886, 7549, 25454, 15176, 529, 6360, 24321, 1781, 108, 236778, 236761, 5213, 10505, 15216, 12155, 67292, 66515, 107, 139, 236772, 623, 811, 7549, 13460, 11092, 236775, 16130, 5213, 236795, 236770, 236771, 236771, 236764, 236771, 236771, 236771, 1018, 108, 236800, 236761, 5213, 14911, 2093, 161452, 66515, 107, 139, 236772, 5213, 50058, 66515, 7086, 111524, 11032, 107, 139, 236772, 5213, 48995, 66515, 236743, 236778, 236771, 236778, 236810, 107, 139, 236772, 5213, 108819, 35254, 66515, 107, 141, 236772, 609, 236770, 236771, 236771, 236764, 236771, 236771, 236771, 568, 51128, 236768, 107, 141, 236772, 236743, 236810, 236771, 568, 6047, 10974, 236768, 107, 141, 236772, 236743, 236800, 236771, 236771, 236908, 568, 73522, 236768, 107, 141, 236772, 236743, 236778, 236810, 568, 1951, 8675, 21622, 236768, 107, 141, 236772, 236743, 236770, 236810, 236771, 568, 103546, 529, 6360, 810, 5117, 236768, 108, 236812, 236761, 5213, 50714, 529, 50937, 13768, 1018, 568, 1708, 12524, 7675, 13315, 1473, 107, 139, 236772, 154864, 236787, 623, 818, 3399, 7972, 2203, 45996, 17269, 531, 39138, 25454, 2263, 10974, 684, 506, 1051, 236743, 236778, 236771, 236778, 236810, 1781, 107, 139, 236772, 9533, 12396, 236787, 107, 141, 236772, 17983, 34410, 236772, 21130, 236772, 5973, 3904, 6791, 6201, 17269, 531, 39138, 1373, 107, 141, 236772, 25179, 16688, 3755, 6791, 226519, 236775, 618, 47775, 1548, 236768, 107, 141, 236772, 133309, 18126, 6791, 2003, 506, 1051, 236743, 236778, 236771, 236778, 236810, 1373, 573, 99299, 107, 141, 236772, 2341, 104098, 1133, 623, 6047, 236775, 1601, 58344, 969, 9998, 107, 141, 236772, 44919, 529, 10808, 659, 41031, 6079, 12669, 568, 161319, 236764, 84364, 236764, 120604, 236768, 9273, 573, 3184, 15021, 108, 818, 1816, 32618, 29972, 573, 3184, 28675, 236764, 607, 24267, 16688, 19094, 532, 11893, 3996, 77536, 9108, 236761, 669, 10256, 568, 236800, 236771, 236771, 11376, 532, 26680, 14274, 2473, 7458, 699, 7426, 43910, 573, 2480, 62721, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 35329, 506, 3399, 7972, 2203, 15523, 573, 21444, 17587, 236789, 236751, 10974, 1948, 236764, 532, 564, 1202, 1601, 32187, 506, 2354, 236789, 236751, 3904, 532, 3004, 236761, 5715, 236789, 236751, 1144, 564, 236789, 236753, 1133, 611, 531, 776, 236787, 236743, 236770, 236761, 5315, 236764, 8430, 784, 23974, 699, 506, 3847, 1816, 1003, 506, 2203, 236789, 236751, 11213, 3336, 236761, 236743, 236778, 236761, 1701, 1546, 13315, 7906, 26680, 2979, 236764, 7352, 506, 40155, 4171, 1131, 5396, 4945, 236761, 236743, 236800, 236761, 49644, 1027, 9780, 236764, 14069, 236764, 532, 16688, 2979, 6950, 528, 506, 11213, 3336, 236761, 236743, 236812, 236761, 13472, 236764, 2426, 506, 4688, 529, 10808, 528, 506, 23974, 24048, 12524, 7675, 531, 5330, 29972, 573, 3184, 15021, 236761, 5715, 236789, 236751, 506, 1816, 531, 18840, 236787, 623, 818, 3399, 7972, 2203, 236764, 26143, 684, 506, 7086, 111524, 11032, 236764, 815, 496, 7715, 529, 886, 7549, 13460, 11092, 532, 17269, 531, 39138, 25454, 2263, 10974, 684, 506, 1051, 236743, 236778, 236771, 236778, 236810, 236761, 1174, 17358, 795, 6778, 1023, 1873, 7972, 2557, 684, 236743, 236800, 236771, 236771, 236908, 532, 2619, 12571, 236772, 21716, 861, 8675, 21622, 236761, 669, 1948, 6987, 14287, 600, 1546, 5117, 795, 2171, 886, 7549, 25454, 15176, 529, 6360, 24321, 1781, 3792, 236789, 236751, 1502, 607, 13315, 23680, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 54921, 1083, 11058, 818, 3399, 7972, 2203, 236764, 26143, 684, 506, 7086, 111524, 11032, 236764, 815, 496, 7715, 529, 886, 7549, 13460, 11092, 532, 17269, 531, 39138, 25454, 2263, 10974, 684, 506, 1051, 236743, 236778, 236771, 236778, 236810, 10498, 623, 2094, 17358, 795, 6778, 1023, 1873, 7972, 2557, 684, 236743, 236800, 236771, 236771, 236908, 532, 2619, 12571, 236772, 21716, 861, 8675, 21622, 10498, 623, 818, 1948, 6987, 14287, 600, 1546, 5117, 795, 2171, 886, 7549, 25454, 15176, 529, 6360, 24321, 1781, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 236743, 236770, 236771, 236771, 236771, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 47792, 1083, 78493, 11128, 1083, 623, 17224, 111524, 11032, 827, 623, 2084, 1083, 623, 97346, 827, 623, 2394, 1083, 623, 17224, 111524, 11032, 23179, 3714, 11128, 1083, 623, 811, 7549, 13460, 11092, 827, 623, 2084, 1083, 623, 28535, 6594, 827, 623, 2394, 1083, 623, 811, 7549, 13460, 11092, 23179, 3714, 11128, 1083, 623, 226519, 827, 623, 2084, 1083, 623, 140094, 55581, 827, 623, 2394, 1083, 623, 226519, 23179, 3714, 11128, 1083, 623, 236778, 236771, 236778, 236810, 827, 623, 2084, 1083, 623, 21696, 827, 623, 2394, 1083, 623, 236778, 236771, 236778, 236810, 23179, 3714, 11128, 1083, 623, 236800, 236771, 236771, 70887, 623, 2084, 1083, 623, 226816, 827, 623, 2394, 1083, 623, 236800, 236771, 236771, 171446, 3714, 11128, 1083, 623, 157805, 236772, 21716, 827, 623, 2084, 1083, 623, 140094, 55581, 827, 623, 2394, 1083, 623, 157805, 236772, 21716, 23179, 3714, 11128, 1083, 623, 811, 7549, 25454, 827, 623, 2084, 1083, 623, 140094, 55581, 827, 623, 2394, 1083, 623, 811, 7549, 25454, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 28263, 1083, 78493, 3017, 1083, 623, 818, 827, 623, 1163, 1083, 623, 44654, 6523, 827, 623, 9088, 1083, 623, 18540, 23179, 3714, 3017, 1083, 623, 37939, 827, 623, 1163, 1083, 623, 4036, 38847, 827, 623, 9088, 1083, 623, 80166, 23179, 3714, 3017, 1083, 623, 45312, 827, 623, 1163, 1083, 623, 182340, 827, 623, 9088, 1083, 623, 13200, 23179, 3714, 3017, 1083, 623, 6201, 827, 623, 1163, 1083, 623, 182340, 827, 623, 9088, 1083, 623, 13200, 23179, 3714, 3017, 1083, 187791, 623, 1163, 1083, 623, 236791, 23733, 3145, 827, 623, 9088, 1083, 46583, 1263, 3714, 3017, 1083, 623, 61827, 827, 623, 1163, 1083, 623, 85157, 827, 623, 9088, 1083, 623, 236847, 10589, 23179, 3714, 3017, 1083, 623, 2003, 827, 623, 1163, 1083, 623, 3695, 3473, 827, 623, 9088, 1083, 623, 1204, 23179, 3714, 3017, 1083, 623, 1437, 827, 623, 1163, 1083, 623, 44654, 6523, 827, 623, 9088, 1083, 623, 18540, 23179, 3714, 3017, 1083, 623, 17224, 111524, 827, 623, 1163, 1083, 623, 125163, 646, 1522, 827, 623, 9088, 1083, 623, 13200, 236791, 23179, 3714, 3017, 1083, 623, 45361, 827, 623, 1163, 1083, 623, 125163, 646, 1522, 827, 623, 9088, 1083, 623, 13200, 236791, 23179, 3714, 3017, 1083, 187791, 623, 1163, 1083, 623, 236791, 23733, 3145, 827, 623, 9088, 1083, 46583, 1263, 3714, 3017, 1083, 623, 5594, 827, 623, 1163, 1083, 623, 85157, 827, 623, 9088, 1083, 623, 65626, 236953, 23179, 3714, 3017, 1083, 623, 236746, 827, 623, 1163, 1083, 623, 44654, 6523, 827, 623, 9088, 1083, 623, 18540, 23179, 3714, 3017, 1083, 623, 51128, 827, 623, 1163, 1083, 623, 182340, 827, 623, 9088, 1083, 623, 13200, 23179, 3714, 3017, 1083, 623, 1340, 827, 623, 1163, 1083, 623, 3695, 3473, 827, 623, 9088, 1083, 623, 1204, 23179, 3714, 3017, 1083, 623, 811, 827, 623, 1163, 1083, 623, 4452, 827, 623, 9088, 1083, 623, 6329, 23179, 3714, 3017, 1083, 623, 96498, 827, 623, 1163, 1083, 623, 4452, 827, 623, 9088, 1083, 623, 6329, 23179, 3714, 3017, 1083, 623, 178382, 827, 623, 1163, 1083, 623, 4452, 827, 623, 9088, 1083, 623, 6329, 23179, 3714, 3017, 1083, 623, 145915, 827, 623, 1163, 1083, 623, 182340, 827, 623, 9088, 1083, 623, 236797, 6510, 23179, 3714, 3017, 1083, 623, 624, 827, 623, 1163, 1083, 623, 1505, 74045, 827, 623, 9088, 1083, 623, 3129, 23179, 3714, 3017, 1083, 623, 2646, 236751, 827, 623, 1163, 1083, 623, 85157, 827, 623, 9088, 1083, 623, 65626, 236953, 23179, 3714, 3017, 1083, 623, 1071, 827, 623, 1163, 1083, 623, 85979, 827, 623, 9088, 1083, 623, 6257, 23179, 3714, 3017, 1083, 623, 29092, 606, 827, 623, 1163, 1083, 623, 85157, 827, 623, 9088, 1083, 623, 65626, 23179, 3714, 3017, 1083, 623, 226519, 827, 623, 1163, 1083, 623, 4452, 827, 623, 9088, 1083, 623, 6329, 23179, 3714, 3017, 1083, 623, 6047, 827, 623, 1163, 1083, 623, 4036, 38847, 827, 623, 9088, 1083, 623, 80166, 23179, 3714, 3017, 1083, 623, 149267, 827, 623, 1163, 1083, 623, 182340, 827, 623, 9088, 1083, 623, 13200, 23179, 3714, 3017, 1083, 623, 2003, 827, 623, 1163, 1083, 623, 3695, 3473, 827, 623, 9088, 1083, 623, 1204, 23179, 3714, 3017, 1083, 623, 1437, 827, 623, 1163, 1083, 623, 44654, 6523, 827, 623, 9088, 1083, 623, 18540, 23179, 3714, 3017, 1083, 623, 3704, 827, 623, 1163, 1083, 623, 182340, 827, 623, 9088, 1083, 623, 13200, 23179, 3714, 3017, 1083, 623, 236778, 236771, 236778, 236810, 827, 623, 1163, 1083, 623, 4452, 827, 623, 9088, 1083, 623, 6329, 23179, 3714, 3017, 1083, 82946, 623, 1163, 1083, 623, 236791, 23733, 3145, 827, 623, 9088, 1083, 87460, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 506, 11213, 3336, 2721, 580, 822, 6035, 236787, 108, 236770, 236761, 5213, 138895, 106157, 66515, 107, 139, 236772, 623, 818, 3399, 7972, 2203, 236764, 26143, 684, 506, 7086, 111524, 11032, 236764, 815, 496, 7715, 529, 886, 7549, 13460, 11092, 532, 17269, 531, 39138, 25454, 2263, 10974, 684, 506, 1051, 236743, 236778, 236771, 236778, 236810, 1781, 107, 139, 236772, 623, 2094, 17358, 795, 6778, 1023, 1873, 7972, 2557, 684, 236743, 236800, 236771, 236771, 236908, 532, 2619, 12571, 236772, 21716, 861, 8675, 21622, 1781, 107, 139, 236772, 623, 818, 1948, 6987, 14287, 600, 1546, 5117, 795, 2171, 886, 7549, 25454, 15176, 529, 6360, 24321, 1781, 108, 236778, 236761, 5213, 10505, 15216, 12155, 67292, 66515, 107, 139, 236772, 623, 811, 7549, 13460, 11092, 236775, 16130, 5213, 236795, 236770, 236771, 236771, 236764, 236771, 236771, 236771, 1018, 108, 236800, 236761, 5213, 14911, 2093, 161452, 66515, 107, 139, 236772, 5213, 50058, 66515, 7086, 111524, 11032, 107, 139, 236772, 5213, 48995, 66515, 236743, 236778, 236771, 236778, 236810, 107, 139, 236772, 5213, 108819, 35254, 66515, 107, 141, 236772, 609, 236770, 236771, 236771, 236764, 236771, 236771, 236771, 568, 51128, 236768, 107, 141, 236772, 236743, 236810, 236771, 568, 6047, 10974, 236768, 107, 141, 236772, 236743, 236800, 236771, 236771, 236908, 568, 73522, 236768, 107, 141, 236772, 236743, 236778, 236810, 568, 1951, 8675, 21622, 236768, 107, 141, 236772, 236743, 236770, 236810, 236771, 568, 103546, 529, 6360, 810, 5117, 236768, 108, 236812, 236761, 5213, 50714, 529, 50937, 13768, 1018, 568, 1708, 12524, 7675, 13315, 1473, 107, 139, 236772, 154864, 236787, 623, 818, 3399, 7972, 2203, 45996, 17269, 531, 39138, 25454, 2263, 10974, 684, 506, 1051, 236743, 236778, 236771, 236778, 236810, 1781, 107, 139, 236772, 9533, 12396, 236787, 107, 141, 236772, 17983, 34410, 236772, 21130, 236772, 5973, 3904, 6791, 6201, 17269, 531, 39138, 1373, 107, 141, 236772, 25179, 16688, 3755, 6791, 226519, 236775, 618, 47775, 1548, 236768, 107, 141, 236772, 133309, 18126, 6791, 2003, 506, 1051, 236743, 236778, 236771, 236778, 236810, 1373, 573, 99299, 107, 141, 236772, 2341, 104098, 1133, 623, 6047, 236775, 1601, 58344, 969, 9998, 107, 141, 236772, 44919, 529, 10808, 659, 41031, 6079, 12669, 568, 161319, 236764, 84364, 236764, 120604, 236768, 9273, 573, 3184, 15021, 108, 818, 1816, 32618, 29972, 573, 3184, 28675, 236764, 607, 24267, 16688, 19094, 532, 11893, 3996, 77536, 9108, 236761, 669, 10256, 568, 236800, 236771, 236771, 11376, 532, 26680, 14274, 2473, 7458, 699, 7426, 43910, 573, 2480, 62721, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236888, 564, 236789, 236757, 17015, 236761, 564, 236789, 236757, 9795, 496, 4389, 2731, 496, 12892, 9148, 528, 4673, 236764, 532, 692, 236789, 500, 4875, 531, 12019, 1679, 11024, 607, 1535, 2634, 3325, 573, 614, 11690, 2460, 236761, 3199, 611, 1171, 1694, 784, 506, 5022, 532, 13362, 43626, 528, 4673, 834, 692, 740, 1502, 54909, 837, 9576, 2473, 577, 1791, 573, 6995, 672, 2460, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3255, 236779, 2234, 1083, 11058, 3133, 43200, 31494, 827, 623, 2023, 602, 77451, 31494, 827, 623, 7721, 546, 827, 623, 186617, 827, 623, 139129, 827, 623, 5988, 236746, 827, 623, 212645, 827, 623, 225821, 827, 623, 142437, 77451, 31494, 827, 623, 170909, 118999, 827, 623, 208544, 827, 623, 213950, 827, 623, 231913, 2373, 31494, 827, 623, 96737, 827, 623, 3366, 36117, 827, 623, 5191, 860, 119465, 827, 623, 236792, 685, 79176, 827, 623, 86281, 14715, 827, 623, 46130, 19624, 827, 623, 226675, 827, 623, 77944, 827, 623, 236773, 17738, 548, 827, 623, 145798, 65612, 827, 623, 36749, 100927, 827, 623, 69249, 2710, 827, 623, 194451, 31494, 827, 623, 119004, 118869, 827, 623, 20163, 34159, 827, 623, 3133, 7435, 532, 23763, 59406, 24399, 827, 623, 103986, 88486, 827, 623, 113138, 601, 532, 72489, 39165, 5812, 532, 622, 7435, 532, 6085, 236756, 827, 623, 89726, 827, 623, 56839, 2753, 532, 43168, 827, 623, 176692, 11505, 827, 623, 144517, 106745, 977, 838, 827, 623, 236791, 689, 1222, 13180, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1694, 529, 784, 6225, 5022, 532, 13362, 43626, 236787, 108, 1018, 42381, 53121, 107, 236770, 236761, 80548, 31494, 138, 107, 236778, 236761, 229092, 31494, 138, 107, 236800, 236761, 77894, 138, 107, 236812, 236761, 71973, 138, 107, 236810, 236761, 176279, 138, 107, 236825, 236761, 73420, 138, 107, 236832, 236761, 61783, 138, 107, 236828, 236761, 77323, 138, 107, 236819, 236761, 130585, 31494, 138, 107, 236770, 236771, 236761, 148949, 138, 107, 236770, 236770, 236761, 68531, 138, 107, 236770, 236778, 236761, 51012, 138, 107, 236770, 236800, 236761, 106913, 31494, 138, 107, 236770, 236812, 236761, 47235, 138, 107, 236770, 236810, 236761, 183589, 138, 107, 236770, 236825, 236761, 109729, 119465, 138, 107, 236770, 236832, 236761, 66749, 79176, 138, 107, 236770, 236828, 236761, 19491, 14715, 138, 107, 236770, 236819, 236761, 97316, 138, 107, 236778, 236771, 236761, 44099, 138, 107, 236778, 236770, 236761, 51001, 138, 107, 236778, 236778, 236761, 188012, 138, 107, 236778, 236800, 236761, 35436, 65612, 138, 107, 236778, 236812, 236761, 138530, 138, 107, 236778, 236810, 236761, 235692, 138, 107, 236778, 236825, 236761, 68856, 31494, 138, 107, 236778, 236832, 236761, 165598, 138, 107, 236778, 236828, 236761, 4844, 34159, 138, 108, 1018, 40740, 98960, 53121, 107, 236778, 236819, 236761, 215657, 532, 23763, 59406, 24399, 138, 107, 236800, 236771, 236761, 138093, 138, 107, 236800, 236770, 236761, 30702, 601, 532, 72489, 39165, 5812, 532, 622, 7435, 532, 6085, 236756, 138, 107, 236800, 236778, 236761, 18390, 138, 107, 236800, 236800, 236761, 86537, 532, 43168, 138, 107, 236800, 236812, 236761, 165200, 138, 107, 236800, 236810, 236761, 96855, 553, 977, 838, 138, 107, 236800, 236825, 236761, 93748, 1222, 13180, 138, 108, 38786, 611, 1133, 2634, 3325, 1938, 573, 1027, 3530, 1883, 653, 3207, 531, 1601, 12019, 1679, 822, 3835, 236881, 1701, 2591, 236764, 25260, 9576, 1133, 73420, 653, 51012, 3187, 735, 2480, 2634, 3325, 236764, 1651, 16962, 5022, 1149, 9729, 147723, 236761, 106, 107, 105, 2364, 107, 12879, 573, 506, 1694, 236888, 5612, 611, 6950, 25260, 9576, 2473, 577, 2480, 236764, 1531, 236789, 236751, 1502, 607, 73420, 532, 51012, 236761, 28344, 611, 2426, 506, 1873, 2634, 3325, 3546, 236764, 5905, 54612, 236764, 532, 2404, 14400, 2794, 573, 5213, 5988, 236746, 1018, 1699, 506, 2634, 236779, 15276, 236779, 2003, 236779, 3255, 236779, 1201, 5904, 236881, 1174, 795, 1601, 775, 5608, 768, 625, 236789, 236751, 9273, 573, 614, 11690, 9148, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3255, 1083, 623, 5988, 236746, 827, 623, 21101, 236747, 1083, 236743, 236812, 236810, 236764, 623, 15455, 236779, 38109, 199501, 1083, 623, 10192, 236778, 236761, 236810, 827, 623, 16602, 236779, 553, 176680, 1083, 623, 17995, 3325, 563, 25343, 236761, 82598, 34297, 2268, 531, 951, 4652, 531, 2404, 236761, 46586, 5085, 659, 6338, 573, 784, 7010, 10498, 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, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 2634, 3325, 1938, 573, 5213, 5988, 236746, 66515, 108, 236772, 5213, 17995, 19779, 13291, 568, 80055, 236777, 1473, 1018, 236743, 236812, 236810, 568, 128416, 6528, 236768, 138, 107, 236772, 5213, 32663, 26809, 199501, 53121, 8711, 236778, 236761, 236810, 138, 107, 236772, 5213, 19924, 31379, 53121, 82598, 34297, 2268, 531, 951, 4652, 531, 2404, 236761, 46586, 5085, 659, 6338, 573, 784, 7010, 236761, 138, 107, 236772, 5213, 9008, 42841, 53121, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 42163, 138, 108, 38786, 611, 1133, 786, 531, 2426, 506, 2634, 3325, 573, 5213, 213950, 1018, 2148, 236881, 1174, 795, 1601, 10769, 1800, 25260, 3835, 573, 822, 9148, 6995, 236761, 106, 107, 105, 2364, 107, 54133, 236888, 4224, 1531, 236789, 236751, 2426, 5213, 213950, 1018, 1699, 506, 1638, 2634, 236779, 15276, 236779, 2003, 236779, 3255, 236779, 1201, 5904, 236761, 564, 1461, 531, 10769, 1061, 95915, 236777, 236764, 5905, 54612, 236764, 532, 2404, 14400, 2794, 607, 73420, 531, 6054, 837, 25260, 1883, 1093, 577, 2480, 573, 614, 11690, 9148, 236761, 3792, 236789, 236751, 1386, 2889, 1800, 506, 2634, 3325, 1262, 532, 2404, 15136, 8913, 607, 22293, 496, 2455, 22658, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3255, 1083, 623, 213950, 827, 623, 21101, 236747, 1083, 236743, 236812, 236810, 236764, 623, 15455, 236779, 38109, 550, 1639, 1083, 11058, 10192, 236778, 236761, 236810, 827, 623, 7018, 236778, 14255, 623, 16602, 236779, 553, 176680, 1083, 623, 17995, 3325, 563, 1535, 236761, 2301, 14523, 580, 11690, 5085, 10498, 623, 1516, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 34507, 1280, 236779, 14210, 1083, 623, 213950, 236789, 236751, 95915, 236777, 568, 236812, 236810, 236768, 563, 8427, 3718, 1082, 73420, 236789, 236751, 568, 236810, 236828, 779, 3043, 625, 101196, 2480, 573, 11690, 4749, 236761, 10508, 5022, 1407, 6338, 2634, 3325, 4535, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 2634, 3325, 1938, 573, 5213, 213950, 66515, 108, 236772, 5213, 17995, 19779, 13291, 568, 80055, 236777, 1473, 1018, 236743, 236812, 236810, 568, 11947, 236768, 138, 107, 236772, 5213, 32663, 26809, 550, 1639, 53121, 8711, 236778, 236761, 236810, 236764, 9424, 236778, 138, 107, 236772, 5213, 19924, 31379, 53121, 2301, 14523, 580, 11690, 5085, 236761, 138, 107, 236772, 5213, 9008, 42841, 53121, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 42163, 138, 107, 236772, 5213, 163447, 7918, 53121, 51012, 236858, 236751, 95915, 236777, 568, 236812, 236810, 236768, 563, 8427, 3718, 1082, 73420, 236858, 236751, 568, 236812, 236810, 12016, 236764, 3043, 1800, 5022, 15530, 9273, 573, 11690, 4749, 236761, 10508, 1407, 6338, 2634, 3325, 4535, 236764, 3635, 51012, 815, 101196, 3718, 8711, 236778, 236761, 236810, 4535, 236761, 138, 108, 1018, 17667, 36520, 53121, 138, 107, 236909, 5213, 35231, 1018, 146, 236909, 5213, 5988, 236746, 1018, 151, 236909, 5213, 213950, 1018, 148, 236909, 138, 107, 236909, 2819, 33129, 236909, 2819, 40328, 236909, 2819, 40328, 236909, 138, 107, 236909, 95915, 236777, 154, 236909, 236743, 236812, 236810, 568, 128416, 6528, 236768, 141, 236909, 236743, 236812, 236810, 568, 11947, 236768, 149, 236909, 138, 107, 236909, 21264, 26809, 550, 1639, 139, 236909, 8711, 236778, 236761, 236810, 153, 236909, 8711, 236778, 236761, 236810, 236764, 9424, 236778, 148, 236909, 138, 107, 236909, 5554, 31379, 142, 236909, 30164, 573, 784, 146, 236909, 30164, 573, 784, 146, 236909, 138, 108, 236829, 10282, 236787, 669, 95915, 236777, 2979, 659, 15779, 236764, 840, 51012, 236858, 236751, 15241, 563, 623, 11947, 236775, 14922, 73420, 236858, 236751, 623, 128416, 6528, 236775, 2779, 531, 6495, 8798, 528, 114447, 64470, 236761, 10508, 659, 7516, 573, 11690, 4749, 236761, 138, 108, 38786, 611, 1133, 531, 2426, 3530, 9979, 2351, 1239, 5022, 568, 236744, 236761, 236759, 1126, 73420, 236858, 236751, 8789, 20591, 653, 51012, 236858, 236751, 200671, 236768, 573, 919, 36297, 1262, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236888, 564, 236789, 236757, 17015, 236761, 564, 236789, 236757, 9795, 496, 4389, 2731, 496, 12892, 9148, 528, 4673, 236764, 532, 692, 236789, 500, 4875, 531, 12019, 1679, 11024, 607, 1535, 2634, 3325, 573, 614, 11690, 2460, 236761, 3199, 611, 1171, 1694, 784, 506, 5022, 532, 13362, 43626, 528, 4673, 834, 692, 740, 1502, 54909, 837, 9576, 2473, 577, 1791, 573, 6995, 672, 2460, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3255, 236779, 2234, 1083, 11058, 3133, 43200, 31494, 827, 623, 2023, 602, 77451, 31494, 827, 623, 7721, 546, 827, 623, 186617, 827, 623, 139129, 827, 623, 5988, 236746, 827, 623, 212645, 827, 623, 225821, 827, 623, 142437, 77451, 31494, 827, 623, 170909, 118999, 827, 623, 208544, 827, 623, 213950, 827, 623, 231913, 2373, 31494, 827, 623, 96737, 827, 623, 3366, 36117, 827, 623, 5191, 860, 119465, 827, 623, 236792, 685, 79176, 827, 623, 86281, 14715, 827, 623, 46130, 19624, 827, 623, 226675, 827, 623, 77944, 827, 623, 236773, 17738, 548, 827, 623, 145798, 65612, 827, 623, 36749, 100927, 827, 623, 69249, 2710, 827, 623, 194451, 31494, 827, 623, 119004, 118869, 827, 623, 20163, 34159, 827, 623, 3133, 7435, 532, 23763, 59406, 24399, 827, 623, 103986, 88486, 827, 623, 113138, 601, 532, 72489, 39165, 5812, 532, 622, 7435, 532, 6085, 236756, 827, 623, 89726, 827, 623, 56839, 2753, 532, 43168, 827, 623, 176692, 11505, 827, 623, 144517, 106745, 977, 838, 827, 623, 236791, 689, 1222, 13180, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1694, 529, 784, 6225, 5022, 532, 13362, 43626, 236787, 108, 1018, 42381, 53121, 107, 236770, 236761, 80548, 31494, 138, 107, 236778, 236761, 229092, 31494, 138, 107, 236800, 236761, 77894, 138, 107, 236812, 236761, 71973, 138, 107, 236810, 236761, 176279, 138, 107, 236825, 236761, 73420, 138, 107, 236832, 236761, 61783, 138, 107, 236828, 236761, 77323, 138, 107, 236819, 236761, 130585, 31494, 138, 107, 236770, 236771, 236761, 148949, 138, 107, 236770, 236770, 236761, 68531, 138, 107, 236770, 236778, 236761, 51012, 138, 107, 236770, 236800, 236761, 106913, 31494, 138, 107, 236770, 236812, 236761, 47235, 138, 107, 236770, 236810, 236761, 183589, 138, 107, 236770, 236825, 236761, 109729, 119465, 138, 107, 236770, 236832, 236761, 66749, 79176, 138, 107, 236770, 236828, 236761, 19491, 14715, 138, 107, 236770, 236819, 236761, 97316, 138, 107, 236778, 236771, 236761, 44099, 138, 107, 236778, 236770, 236761, 51001, 138, 107, 236778, 236778, 236761, 188012, 138, 107, 236778, 236800, 236761, 35436, 65612, 138, 107, 236778, 236812, 236761, 138530, 138, 107, 236778, 236810, 236761, 235692, 138, 107, 236778, 236825, 236761, 68856, 31494, 138, 107, 236778, 236832, 236761, 165598, 138, 107, 236778, 236828, 236761, 4844, 34159, 138, 108, 1018, 40740, 98960, 53121, 107, 236778, 236819, 236761, 215657, 532, 23763, 59406, 24399, 138, 107, 236800, 236771, 236761, 138093, 138, 107, 236800, 236770, 236761, 30702, 601, 532, 72489, 39165, 5812, 532, 622, 7435, 532, 6085, 236756, 138, 107, 236800, 236778, 236761, 18390, 138, 107, 236800, 236800, 236761, 86537, 532, 43168, 138, 107, 236800, 236812, 236761, 165200, 138, 107, 236800, 236810, 236761, 96855, 553, 977, 838, 138, 107, 236800, 236825, 236761, 93748, 1222, 13180, 138, 108, 38786, 611, 1133, 2634, 3325, 1938, 573, 1027, 3530, 1883, 653, 3207, 531, 1601, 12019, 1679, 822, 3835, 236881, 1701, 2591, 236764, 25260, 9576, 1133, 73420, 653, 51012, 3187, 735, 2480, 2634, 3325, 236764, 1651, 16962, 5022, 1149, 9729, 147723, 236761, 106, 107, 105, 2364, 107, 12879, 573, 506, 1694, 236888, 5612, 611, 6950, 25260, 9576, 2473, 577, 2480, 236764, 1531, 236789, 236751, 1502, 607, 73420, 532, 51012, 236761, 28344, 611, 2426, 506, 1873, 2634, 3325, 3546, 236764, 5905, 54612, 236764, 532, 2404, 14400, 2794, 573, 5213, 5988, 236746, 1018, 1699, 506, 2634, 236779, 15276, 236779, 2003, 236779, 3255, 236779, 1201, 5904, 236881, 1174, 795, 1601, 775, 5608, 768, 625, 236789, 236751, 9273, 573, 614, 11690, 9148, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3255, 1083, 623, 5988, 236746, 827, 623, 21101, 236747, 1083, 236743, 236812, 236810, 236764, 623, 15455, 236779, 38109, 199501, 1083, 623, 10192, 236778, 236761, 236810, 827, 623, 16602, 236779, 553, 176680, 1083, 623, 17995, 3325, 563, 25343, 236761, 82598, 34297, 2268, 531, 951, 4652, 531, 2404, 236761, 46586, 5085, 659, 6338, 573, 784, 7010, 10498, 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, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 2634, 3325, 1938, 573, 5213, 5988, 236746, 66515, 108, 236772, 5213, 17995, 19779, 13291, 568, 80055, 236777, 1473, 1018, 236743, 236812, 236810, 568, 128416, 6528, 236768, 138, 107, 236772, 5213, 32663, 26809, 199501, 53121, 8711, 236778, 236761, 236810, 138, 107, 236772, 5213, 19924, 31379, 53121, 82598, 34297, 2268, 531, 951, 4652, 531, 2404, 236761, 46586, 5085, 659, 6338, 573, 784, 7010, 236761, 138, 107, 236772, 5213, 9008, 42841, 53121, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 42163, 138, 108, 38786, 611, 1133, 786, 531, 2426, 506, 2634, 3325, 573, 5213, 213950, 1018, 2148, 236881, 1174, 795, 1601, 10769, 1800, 25260, 3835, 573, 822, 9148, 6995, 236761, 106, 107, 105, 2364, 107, 54133, 236888, 4224, 1531, 236789, 236751, 2426, 5213, 213950, 1018, 1699, 506, 1638, 2634, 236779, 15276, 236779, 2003, 236779, 3255, 236779, 1201, 5904, 236761, 564, 1461, 531, 10769, 1061, 95915, 236777, 236764, 5905, 54612, 236764, 532, 2404, 14400, 2794, 607, 73420, 531, 6054, 837, 25260, 1883, 1093, 577, 2480, 573, 614, 11690, 9148, 236761, 3792, 236789, 236751, 1386, 2889, 1800, 506, 2634, 3325, 1262, 532, 2404, 15136, 8913, 607, 22293, 496, 2455, 22658, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3255, 1083, 623, 213950, 827, 623, 21101, 236747, 1083, 236743, 236812, 236810, 236764, 623, 15455, 236779, 38109, 550, 1639, 1083, 11058, 10192, 236778, 236761, 236810, 827, 623, 7018, 236778, 14255, 623, 16602, 236779, 553, 176680, 1083, 623, 17995, 3325, 563, 1535, 236761, 2301, 14523, 580, 11690, 5085, 10498, 623, 1516, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 34507, 1280, 236779, 14210, 1083, 623, 213950, 236789, 236751, 95915, 236777, 568, 236812, 236810, 236768, 563, 8427, 3718, 1082, 73420, 236789, 236751, 568, 236810, 236828, 779, 3043, 625, 101196, 2480, 573, 11690, 4749, 236761, 10508, 5022, 1407, 6338, 2634, 3325, 4535, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 2634, 3325, 1938, 573, 5213, 213950, 66515, 108, 236772, 5213, 17995, 19779, 13291, 568, 80055, 236777, 1473, 1018, 236743, 236812, 236810, 568, 11947, 236768, 138, 107, 236772, 5213, 32663, 26809, 550, 1639, 53121, 8711, 236778, 236761, 236810, 236764, 9424, 236778, 138, 107, 236772, 5213, 19924, 31379, 53121, 2301, 14523, 580, 11690, 5085, 236761, 138, 107, 236772, 5213, 9008, 42841, 53121, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 42163, 138, 107, 236772, 5213, 163447, 7918, 53121, 51012, 236858, 236751, 95915, 236777, 568, 236812, 236810, 236768, 563, 8427, 3718, 1082, 73420, 236858, 236751, 568, 236812, 236810, 12016, 236764, 3043, 1800, 5022, 15530, 9273, 573, 11690, 4749, 236761, 10508, 1407, 6338, 2634, 3325, 4535, 236764, 3635, 51012, 815, 101196, 3718, 8711, 236778, 236761, 236810, 4535, 236761, 138, 108, 1018, 17667, 36520, 53121, 138, 107, 236909, 5213, 35231, 1018, 146, 236909, 5213, 5988, 236746, 1018, 151, 236909, 5213, 213950, 1018, 148, 236909, 138, 107, 236909, 2819, 33129, 236909, 2819, 40328, 236909, 2819, 40328, 236909, 138, 107, 236909, 95915, 236777, 154, 236909, 236743, 236812, 236810, 568, 128416, 6528, 236768, 141, 236909, 236743, 236812, 236810, 568, 11947, 236768, 149, 236909, 138, 107, 236909, 21264, 26809, 550, 1639, 139, 236909, 8711, 236778, 236761, 236810, 153, 236909, 8711, 236778, 236761, 236810, 236764, 9424, 236778, 148, 236909, 138, 107, 236909, 5554, 31379, 142, 236909, 30164, 573, 784, 146, 236909, 30164, 573, 784, 146, 236909, 138, 108, 236829, 10282, 236787, 669, 95915, 236777, 2979, 659, 15779, 236764, 840, 51012, 236858, 236751, 15241, 563, 623, 11947, 236775, 14922, 73420, 236858, 236751, 623, 128416, 6528, 236775, 2779, 531, 6495, 8798, 528, 114447, 64470, 236761, 10508, 659, 7516, 573, 11690, 4749, 236761, 138, 108, 38786, 611, 1133, 531, 2426, 3530, 9979, 2351, 1239, 5022, 568, 236744, 236761, 236759, 1126, 73420, 236858, 236751, 8789, 20591, 653, 51012, 236858, 236751, 200671, 236768, 573, 919, 36297, 1262, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 6995, 496, 16183, 580, 4185, 990, 20874, 573, 1041, 236743, 236810, 594, 107067, 236761, 564, 1202, 531, 1281, 506, 1873, 990, 4954, 1534, 104549, 98065, 236764, 7151, 532, 21038, 236764, 6056, 531, 2619, 496, 1759, 236772, 12392, 2591, 236761, 7323, 1171, 974, 506, 100468, 573, 104549, 98065, 236764, 1299, 974, 506, 100468, 573, 21038, 236764, 532, 1299, 9279, 506, 990, 4954, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 99883, 1083, 623, 47158, 236786, 18939, 236779, 12165, 7220, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 99883, 1083, 623, 53601, 236786, 89265, 25938, 106, 107, 105, 4368, 107, 818, 1873, 990, 4954, 1534, 104549, 98065, 236764, 7151, 568, 47158, 236786, 18939, 236779, 12165, 7220, 236768, 532, 21038, 236764, 6056, 568, 53601, 236786, 89265, 236768, 563, 5213, 236770, 236825, 3885, 84750, 1174, 10789, 573, 202225, 70391, 7578, 568, 210786, 236768, 528, 506, 749, 236761, 236773, 236761, 568, 3350, 7383, 13245, 563, 59528, 236772, 236832, 1913, 205053, 236768, 532, 21038, 236789, 236751, 6530, 59528, 236862, 236819, 990, 10202, 236761, 236743, 108, 2542, 2591, 236787, 138, 107, 236772, 1637, 625, 236789, 236751, 5213, 236819, 236787, 236771, 236771, 8151, 528, 104549, 98065, 125546, 625, 236858, 236751, 5213, 236770, 236787, 236771, 236771, 8151, 506, 2148, 1719, 528, 21038, 84750, 138, 108, 236829, 10282, 236787, 9529, 4077, 990, 568, 9181, 236772, 210786, 779, 506, 4954, 1093, 577, 236743, 236770, 236832, 3885, 236764, 840, 2338, 205053, 563, 5633, 5158, 528, 506, 749, 236761, 236773, 1126, 236743, 236770, 236825, 3885, 563, 506, 1873, 4954, 9603, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 6995, 496, 16183, 580, 4185, 990, 20874, 573, 1041, 236743, 236810, 594, 107067, 236761, 564, 1202, 531, 1281, 506, 1873, 990, 4954, 1534, 104549, 98065, 236764, 7151, 532, 21038, 236764, 6056, 531, 2619, 496, 1759, 236772, 12392, 2591, 236761, 7323, 1171, 974, 506, 100468, 573, 104549, 98065, 236764, 1299, 974, 506, 100468, 573, 21038, 236764, 532, 1299, 9279, 506, 990, 4954, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 99883, 1083, 623, 47158, 236786, 18939, 236779, 12165, 7220, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 99883, 1083, 623, 53601, 236786, 89265, 25938, 106, 107, 105, 4368, 107, 818, 1873, 990, 4954, 1534, 104549, 98065, 236764, 7151, 568, 47158, 236786, 18939, 236779, 12165, 7220, 236768, 532, 21038, 236764, 6056, 568, 53601, 236786, 89265, 236768, 563, 5213, 236770, 236825, 3885, 84750, 1174, 10789, 573, 202225, 70391, 7578, 568, 210786, 236768, 528, 506, 749, 236761, 236773, 236761, 568, 3350, 7383, 13245, 563, 59528, 236772, 236832, 1913, 205053, 236768, 532, 21038, 236789, 236751, 6530, 59528, 236862, 236819, 990, 10202, 236761, 236743, 108, 2542, 2591, 236787, 138, 107, 236772, 1637, 625, 236789, 236751, 5213, 236819, 236787, 236771, 236771, 8151, 528, 104549, 98065, 125546, 625, 236858, 236751, 5213, 236770, 236787, 236771, 236771, 8151, 506, 2148, 1719, 528, 21038, 84750, 138, 108, 236829, 10282, 236787, 9529, 4077, 990, 568, 9181, 236772, 210786, 779, 506, 4954, 1093, 577, 236743, 236770, 236832, 3885, 236764, 840, 2338, 205053, 563, 5633, 5158, 528, 506, 749, 236761, 236773, 1126, 236743, 236770, 236825, 3885, 563, 506, 1873, 4954, 9603, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 1156, 2263, 209323, 13792, 1343, 2777, 4009, 236761, 5315, 236764, 564, 1461, 531, 29888, 496, 209323, 236772, 5140, 8325, 1015, 56017, 528, 18358, 617, 236772, 3061, 25687, 568, 5282, 135312, 653, 24838, 527, 236768, 684, 16329, 910, 2777, 4009, 12780, 236761, 4298, 236764, 1699, 1027, 2460, 4889, 699, 600, 8781, 236764, 564, 236858, 236753, 1133, 531, 1586, 496, 57597, 8340, 2299, 600, 132240, 1944, 6562, 30159, 4526, 7789, 236761, 3792, 236858, 236751, 1502, 607, 506, 8325, 3927, 236761, 28344, 611, 2056, 496, 15345, 1133, 808, 2021, 635, 2339, 23790, 2636, 617, 56051, 236829, 653, 808, 14488, 56051, 10505, 536, 80262, 236829, 236881, 1637, 600, 4038, 236858, 236745, 981, 236764, 7463, 808, 216799, 236791, 15227, 2021, 635, 2339, 236829, 568, 236777, 236858, 560, 216352, 991, 528, 1610, 7694, 1590, 15520, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 2021, 635, 2339, 23790, 2636, 617, 56051, 827, 623, 36627, 1083, 623, 2021, 635, 2339, 236772, 5140, 18358, 617, 42289, 68916, 528, 39339, 532, 51255, 13696, 684, 135312, 236786, 37286, 527, 236761, 171545, 13822, 61379, 2634, 11710, 2874, 11303, 532, 226440, 607, 2263, 54828, 236761, 22177, 573, 18669, 12496, 532, 19520, 14069, 41218, 623, 76647, 1083, 236743, 236770, 236778, 236812, 236810, 236764, 623, 2153, 236779, 18582, 1083, 78493, 5106, 236779, 1201, 1083, 623, 43335, 67540, 3593, 45004, 25780, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236778, 236772, 236770, 236810, 827, 623, 7125, 1083, 623, 2021, 635, 2339, 7940, 7171, 4556, 827, 623, 102830, 4644, 1083, 236743, 236778, 236828, 1263, 3714, 5106, 236779, 1201, 1083, 623, 45403, 236751, 6562, 30159, 639, 55257, 16501, 11809, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236778, 236772, 236770, 236770, 827, 623, 7125, 1083, 623, 183733, 6691, 176979, 56179, 753, 48630, 209323, 827, 623, 102830, 4644, 1083, 236743, 236812, 236778, 104960, 623, 19243, 1083, 11058, 2021, 635, 2339, 4585, 49652, 827, 623, 106053, 23727, 79535, 827, 623, 45403, 236751, 15305, 209323, 11503, 99471, 106, 107, 105, 4368, 107, 236777, 1765, 496, 209323, 236772, 5140, 18358, 617, 8325, 8781, 573, 5213, 236940, 2021, 635, 2339, 23790, 2636, 617, 56051, 84750, 9963, 12780, 44898, 901, 65607, 528, 135312, 236786, 37286, 527, 236772, 52728, 39339, 236786, 728, 40989, 532, 4253, 13822, 61379, 2634, 2874, 11303, 236761, 236743, 108, 2542, 822, 1855, 2864, 236764, 506, 1638, 8781, 15852, 5213, 236775, 45403, 236751, 15305, 209323, 11503, 236775, 1018, 1208, 4402, 532, 5132, 496, 5213, 16769, 30159, 639, 55257, 4526, 4598, 2460, 1018, 657, 75661, 6691, 176979, 56179, 568, 24631, 236743, 236770, 236770, 769, 1174, 12205, 506, 2299, 132240, 7100, 4526, 7789, 236761, 21284, 611, 1133, 786, 531, 1385, 872, 506, 2299, 236858, 236751, 4889, 653, 2460, 72320, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1161, 506, 8283, 236779, 2003, 236779, 11668, 5904, 531, 33205, 4889, 573, 5213, 236940, 45403, 236751, 148653, 2021, 635, 2339, 1018, 568, 5140, 580, 506, 2460, 20104, 236768, 2148, 236881, 564, 236858, 236753, 1133, 531, 9128, 910, 12780, 42298, 1944, 4526, 7789, 532, 2426, 768, 901, 735, 496, 1237, 4374, 1694, 653, 3662, 8283, 573, 16058, 236761, 1637, 600, 6060, 4038, 236858, 236745, 2849, 236764, 2056, 5213, 236940, 45403, 236751, 2021, 635, 2339, 79179, 1018, 653, 5213, 236940, 236855, 1692, 2504, 2339, 19242, 51688, 1018, 237028, 60766, 506, 2299, 6178, 496, 1607, 1463, 3489, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 45403, 236751, 148653, 2021, 635, 2339, 827, 623, 36627, 1083, 623, 68734, 8340, 15039, 573, 22753, 4085, 57597, 48030, 528, 209323, 236888, 153299, 1944, 6562, 30159, 4526, 7789, 657, 2263, 37643, 236761, 621, 689, 236828, 236800, 236755, 236785, 689, 16652, 236828, 236785, 689, 236828, 236800, 236755, 236785, 689, 236760, 236828, 236819, 827, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 2153, 236779, 13692, 1083, 3714, 43852, 236779, 22487, 1083, 78493, 21151, 1083, 623, 22163, 775, 573, 6562, 30159, 639, 55257, 657, 669, 71868, 4244, 236888, 114745, 3205, 528, 12780, 10498, 623, 56652, 1083, 236743, 236800, 236778, 236771, 236764, 623, 26329, 1083, 236743, 236812, 236810, 1263, 3714, 21151, 1083, 623, 45403, 236751, 43809, 24874, 833, 4526, 4598, 672, 8174, 41218, 623, 56652, 1083, 236743, 236778, 236770, 236771, 236764, 623, 26329, 1083, 236743, 236778, 236828, 15947, 1807, 106, 107, 105, 4368, 107, 236777, 52236, 4889, 573, 5213, 236940, 45403, 236751, 148653, 2021, 635, 2339, 66515, 107, 236772, 5213, 46065, 66515, 13810, 90105, 901, 236858, 500, 506, 623, 56488, 8340, 15039, 573, 22753, 4085, 57597, 48030, 528, 209323, 236775, 532, 25010, 4928, 35447, 5213, 10732, 6562, 30159, 4526, 7789, 1018, 657, 2263, 37643, 236761, 107, 236772, 5213, 47619, 23195, 66515, 236743, 107, 138, 236772, 562, 6562, 30159, 639, 55257, 2460, 657, 669, 71868, 4244, 568, 12971, 20134, 3205, 528, 12780, 769, 107, 138, 236772, 562, 57597, 43809, 24874, 833, 4526, 4598, 607, 1494, 15154, 236761, 108, 818, 8781, 4038, 236858, 236745, 1694, 496, 1237, 4374, 12229, 236764, 840, 506, 5213, 12971, 20134, 3205, 528, 506, 12780, 1018, 4547, 14736, 618, 910, 3662, 236786, 43076, 10241, 236761, 21284, 611, 1133, 786, 531, 8430, 506, 114745, 3205, 653, 2426, 573, 4767, 3662, 4889, 568, 236744, 236761, 236759, 1126, 4553, 236786, 5275, 528, 12714, 20625, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 1156, 2263, 209323, 13792, 1343, 2777, 4009, 236761, 5315, 236764, 564, 1461, 531, 29888, 496, 209323, 236772, 5140, 8325, 1015, 56017, 528, 18358, 617, 236772, 3061, 25687, 568, 5282, 135312, 653, 24838, 527, 236768, 684, 16329, 910, 2777, 4009, 12780, 236761, 4298, 236764, 1699, 1027, 2460, 4889, 699, 600, 8781, 236764, 564, 236858, 236753, 1133, 531, 1586, 496, 57597, 8340, 2299, 600, 132240, 1944, 6562, 30159, 4526, 7789, 236761, 3792, 236858, 236751, 1502, 607, 506, 8325, 3927, 236761, 28344, 611, 2056, 496, 15345, 1133, 808, 2021, 635, 2339, 23790, 2636, 617, 56051, 236829, 653, 808, 14488, 56051, 10505, 536, 80262, 236829, 236881, 1637, 600, 4038, 236858, 236745, 981, 236764, 7463, 808, 216799, 236791, 15227, 2021, 635, 2339, 236829, 568, 236777, 236858, 560, 216352, 991, 528, 1610, 7694, 1590, 15520, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 2021, 635, 2339, 23790, 2636, 617, 56051, 827, 623, 36627, 1083, 623, 2021, 635, 2339, 236772, 5140, 18358, 617, 42289, 68916, 528, 39339, 532, 51255, 13696, 684, 135312, 236786, 37286, 527, 236761, 171545, 13822, 61379, 2634, 11710, 2874, 11303, 532, 226440, 607, 2263, 54828, 236761, 22177, 573, 18669, 12496, 532, 19520, 14069, 41218, 623, 76647, 1083, 236743, 236770, 236778, 236812, 236810, 236764, 623, 2153, 236779, 18582, 1083, 78493, 5106, 236779, 1201, 1083, 623, 43335, 67540, 3593, 45004, 25780, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236778, 236772, 236770, 236810, 827, 623, 7125, 1083, 623, 2021, 635, 2339, 7940, 7171, 4556, 827, 623, 102830, 4644, 1083, 236743, 236778, 236828, 1263, 3714, 5106, 236779, 1201, 1083, 623, 45403, 236751, 6562, 30159, 639, 55257, 16501, 11809, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236778, 236772, 236770, 236770, 827, 623, 7125, 1083, 623, 183733, 6691, 176979, 56179, 753, 48630, 209323, 827, 623, 102830, 4644, 1083, 236743, 236812, 236778, 104960, 623, 19243, 1083, 11058, 2021, 635, 2339, 4585, 49652, 827, 623, 106053, 23727, 79535, 827, 623, 45403, 236751, 15305, 209323, 11503, 99471, 106, 107, 105, 4368, 107, 236777, 1765, 496, 209323, 236772, 5140, 18358, 617, 8325, 8781, 573, 5213, 236940, 2021, 635, 2339, 23790, 2636, 617, 56051, 84750, 9963, 12780, 44898, 901, 65607, 528, 135312, 236786, 37286, 527, 236772, 52728, 39339, 236786, 728, 40989, 532, 4253, 13822, 61379, 2634, 2874, 11303, 236761, 236743, 108, 2542, 822, 1855, 2864, 236764, 506, 1638, 8781, 15852, 5213, 236775, 45403, 236751, 15305, 209323, 11503, 236775, 1018, 1208, 4402, 532, 5132, 496, 5213, 16769, 30159, 639, 55257, 4526, 4598, 2460, 1018, 657, 75661, 6691, 176979, 56179, 568, 24631, 236743, 236770, 236770, 769, 1174, 12205, 506, 2299, 132240, 7100, 4526, 7789, 236761, 21284, 611, 1133, 786, 531, 1385, 872, 506, 2299, 236858, 236751, 4889, 653, 2460, 72320, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1161, 506, 8283, 236779, 2003, 236779, 11668, 5904, 531, 33205, 4889, 573, 5213, 236940, 45403, 236751, 148653, 2021, 635, 2339, 1018, 568, 5140, 580, 506, 2460, 20104, 236768, 2148, 236881, 564, 236858, 236753, 1133, 531, 9128, 910, 12780, 42298, 1944, 4526, 7789, 532, 2426, 768, 901, 735, 496, 1237, 4374, 1694, 653, 3662, 8283, 573, 16058, 236761, 1637, 600, 6060, 4038, 236858, 236745, 2849, 236764, 2056, 5213, 236940, 45403, 236751, 2021, 635, 2339, 79179, 1018, 653, 5213, 236940, 236855, 1692, 2504, 2339, 19242, 51688, 1018, 237028, 60766, 506, 2299, 6178, 496, 1607, 1463, 3489, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 45403, 236751, 148653, 2021, 635, 2339, 827, 623, 36627, 1083, 623, 68734, 8340, 15039, 573, 22753, 4085, 57597, 48030, 528, 209323, 236888, 153299, 1944, 6562, 30159, 4526, 7789, 657, 2263, 37643, 236761, 621, 689, 236828, 236800, 236755, 236785, 689, 16652, 236828, 236785, 689, 236828, 236800, 236755, 236785, 689, 236760, 236828, 236819, 827, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 2153, 236779, 13692, 1083, 3714, 43852, 236779, 22487, 1083, 78493, 21151, 1083, 623, 22163, 775, 573, 6562, 30159, 639, 55257, 657, 669, 71868, 4244, 236888, 114745, 3205, 528, 12780, 10498, 623, 56652, 1083, 236743, 236800, 236778, 236771, 236764, 623, 26329, 1083, 236743, 236812, 236810, 1263, 3714, 21151, 1083, 623, 45403, 236751, 43809, 24874, 833, 4526, 4598, 672, 8174, 41218, 623, 56652, 1083, 236743, 236778, 236770, 236771, 236764, 623, 26329, 1083, 236743, 236778, 236828, 15947, 1807, 106, 107, 105, 4368, 107, 236777, 52236, 4889, 573, 5213, 236940, 45403, 236751, 148653, 2021, 635, 2339, 66515, 107, 236772, 5213, 46065, 66515, 13810, 90105, 901, 236858, 500, 506, 623, 56488, 8340, 15039, 573, 22753, 4085, 57597, 48030, 528, 209323, 236775, 532, 25010, 4928, 35447, 5213, 10732, 6562, 30159, 4526, 7789, 1018, 657, 2263, 37643, 236761, 107, 236772, 5213, 47619, 23195, 66515, 236743, 107, 138, 236772, 562, 6562, 30159, 639, 55257, 2460, 657, 669, 71868, 4244, 568, 12971, 20134, 3205, 528, 12780, 769, 107, 138, 236772, 562, 57597, 43809, 24874, 833, 4526, 4598, 607, 1494, 15154, 236761, 108, 818, 8781, 4038, 236858, 236745, 1694, 496, 1237, 4374, 12229, 236764, 840, 506, 5213, 12971, 20134, 3205, 528, 506, 12780, 1018, 4547, 14736, 618, 910, 3662, 236786, 43076, 10241, 236761, 21284, 611, 1133, 786, 531, 8430, 506, 114745, 3205, 653, 2426, 573, 4767, 3662, 4889, 568, 236744, 236761, 236759, 1126, 4553, 236786, 5275, 528, 12714, 20625, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6514, 872, 496, 9584, 14209, 573, 506, 26291, 728, 11493, 19871, 4456, 564, 236789, 236757, 9795, 8912, 236761, 28344, 611, 8729, 496, 3188, 8918, 600, 236789, 236751, 7121, 236743, 236770, 236812, 7579, 1440, 236764, 26614, 46451, 236764, 67505, 236764, 4945, 236764, 532, 16271, 236881, 564, 1461, 531, 1386, 2889, 625, 236789, 236751, 1800, 26628, 236772, 11958, 532, 3735, 573, 21736, 531, 5630, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8707, 1083, 623, 236823, 236832, 236757, 236795, 236749, 236798, 236819, 236940, 236809, 236778, 219837, 236865, 827, 623, 3119, 1083, 236743, 236770, 236812, 236764, 623, 109719, 1083, 623, 11480, 827, 623, 13848, 236779, 79821, 1083, 1847, 236764, 623, 13848, 236779, 129749, 1083, 1847, 236764, 623, 13848, 236779, 34488, 1083, 1847, 236764, 623, 13848, 236779, 79766, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 7835, 8918, 236787, 5213, 236823, 236832, 236757, 236795, 236749, 236798, 236819, 236940, 236809, 236778, 219837, 236865, 1018, 108, 248535, 1174, 8918, 236787, 107, 236772, 137276, 506, 236743, 236770, 236812, 236772, 18857, 13469, 107, 236772, 49308, 46451, 568, 236823, 236764, 639, 236764, 751, 236768, 107, 236772, 49308, 67505, 568, 236757, 236764, 538, 236764, 3752, 236764, 566, 236768, 107, 236772, 76843, 4945, 568, 236832, 236764, 236743, 236819, 236764, 236743, 236778, 236768, 107, 236772, 17260, 16271, 568, 2500, 1392, 236764, 997, 236768, 107, 236772, 2375, 21296, 618, 623, 11480, 16783, 236775, 108, 38786, 611, 1133, 786, 531, 8729, 614, 9302, 3567, 768, 672, 886, 4038, 236789, 236745, 8816, 822, 3548, 236881, 564, 740, 992, 2847, 11221, 573, 53036, 15724, 14209, 28150, 573, 3399, 17909, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6514, 872, 496, 9584, 14209, 573, 506, 26291, 728, 11493, 19871, 4456, 564, 236789, 236757, 9795, 8912, 236761, 28344, 611, 8729, 496, 3188, 8918, 600, 236789, 236751, 7121, 236743, 236770, 236812, 7579, 1440, 236764, 26614, 46451, 236764, 67505, 236764, 4945, 236764, 532, 16271, 236881, 564, 1461, 531, 1386, 2889, 625, 236789, 236751, 1800, 26628, 236772, 11958, 532, 3735, 573, 21736, 531, 5630, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 8707, 1083, 623, 236823, 236832, 236757, 236795, 236749, 236798, 236819, 236940, 236809, 236778, 219837, 236865, 827, 623, 3119, 1083, 236743, 236770, 236812, 236764, 623, 109719, 1083, 623, 11480, 827, 623, 13848, 236779, 79821, 1083, 1847, 236764, 623, 13848, 236779, 129749, 1083, 1847, 236764, 623, 13848, 236779, 34488, 1083, 1847, 236764, 623, 13848, 236779, 79766, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 7835, 8918, 236787, 5213, 236823, 236832, 236757, 236795, 236749, 236798, 236819, 236940, 236809, 236778, 219837, 236865, 1018, 108, 248535, 1174, 8918, 236787, 107, 236772, 137276, 506, 236743, 236770, 236812, 236772, 18857, 13469, 107, 236772, 49308, 46451, 568, 236823, 236764, 639, 236764, 751, 236768, 107, 236772, 49308, 67505, 568, 236757, 236764, 538, 236764, 3752, 236764, 566, 236768, 107, 236772, 76843, 4945, 568, 236832, 236764, 236743, 236819, 236764, 236743, 236778, 236768, 107, 236772, 17260, 16271, 568, 2500, 1392, 236764, 997, 236768, 107, 236772, 2375, 21296, 618, 623, 11480, 16783, 236775, 108, 38786, 611, 1133, 786, 531, 8729, 614, 9302, 3567, 768, 672, 886, 4038, 236789, 236745, 8816, 822, 3548, 236881, 564, 740, 992, 2847, 11221, 573, 53036, 15724, 14209, 28150, 573, 3399, 17909, 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, 8812, 496, 28233, 35818, 6511, 573, 1041, 4399, 600, 28619, 9069, 2404, 10834, 607, 35677, 14984, 236761, 2282, 776, 672, 11974, 236764, 564, 1202, 611, 531, 1171, 33205, 506, 6524, 3567, 529, 506, 173396, 236772, 236819, 236771, 18237, 18241, 49626, 1699, 506, 49626, 236779, 15266, 2423, 5904, 236761, 9920, 564, 735, 600, 10834, 10318, 236764, 564, 236789, 859, 1461, 611, 531, 18840, 1061, 3004, 531, 8701, 1027, 10458, 4596, 531, 5013, 3997, 236764, 33901, 9935, 236764, 653, 13690, 11293, 30122, 236761, 18186, 580, 1724, 3530, 10458, 236764, 611, 1374, 1299, 1161, 506, 566, 236770, 236779, 42352, 5904, 531, 8729, 1806, 34037, 15028, 15136, 600, 1093, 1791, 1894, 7010, 37549, 1724, 23556, 66028, 236761, 1637, 951, 1288, 10458, 2849, 528, 506, 49626, 236764, 5091, 5205, 3927, 573, 2870, 35818, 23642, 9273, 573, 496, 60346, 2065, 5428, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15884, 29657, 236779, 547, 1083, 623, 6136, 236806, 236772, 236819, 236771, 236772, 236778, 236771, 236778, 236810, 236772, 236935, 236778, 827, 623, 4406, 1083, 623, 236766, 236800, 236761, 236812, 236761, 236770, 827, 623, 28145, 1083, 78493, 1862, 236779, 547, 1083, 623, 53801, 236779, 180988, 827, 623, 3250, 1083, 623, 94801, 8813, 66097, 5201, 827, 623, 33310, 1083, 78493, 15884, 236779, 547, 1083, 623, 13215, 236772, 236771, 236771, 236770, 827, 623, 1005, 1083, 623, 3910, 3187, 776, 611, 2707, 5663, 16625, 1913, 981, 3885, 32109, 623, 6275, 236779, 7669, 1083, 623, 236770, 236772, 236810, 33291, 907, 5559, 23179, 3714, 15884, 236779, 547, 1083, 623, 13215, 236772, 236771, 236770, 236810, 827, 623, 1005, 1083, 623, 6294, 611, 1161, 2780, 618, 496, 54460, 10241, 1913, 45998, 13443, 32109, 623, 6275, 236779, 7669, 1083, 623, 10784, 236786, 3771, 607, 7132, 109191, 236775, 200808, 3714, 1862, 236779, 547, 1083, 623, 115828, 236779, 55558, 827, 623, 3250, 1083, 623, 99419, 835, 40242, 72627, 827, 623, 33310, 1083, 78493, 15884, 236779, 547, 1083, 623, 10904, 236772, 236771, 236778, 236778, 827, 623, 1005, 1083, 623, 3910, 11572, 776, 611, 30656, 18761, 15188, 1913, 981, 14356, 32109, 623, 6275, 236779, 7669, 1083, 623, 42362, 236786, 236800, 236772, 236812, 236781, 236786, 14808, 236786, 236770, 236772, 236778, 236781, 236786, 14808, 236786, 32631, 236775, 15947, 104960, 623, 3955, 236779, 2084, 1083, 623, 9458, 236786, 3723, 827, 623, 4243, 3986, 1111, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 25938, 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, 15884, 29657, 236779, 15266, 2423, 14860, 532, 3671, 14255, 623, 29995, 1083, 3714, 236766, 236770, 236779, 42352, 1083, 623, 64020, 2864, 19284, 1680, 25409, 49626, 3671, 28079, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 3250, 1083, 623, 94801, 236772, 11146, 3180, 8425, 71741, 42949, 88407, 827, 623, 77095, 1083, 11058, 30727, 71741, 827, 623, 98293, 16489, 827, 623, 9767, 153373, 827, 623, 63893, 978, 827, 623, 158338, 827, 623, 82683, 71072, 14255, 623, 96654, 1083, 623, 236773, 1474, 236785, 236756, 236771, 236771, 236744, 236819, 108802, 532, 33626, 236764, 3944, 12480, 236764, 1299, 85460, 607, 16062, 532, 71072, 221476, 3714, 3250, 1083, 623, 87354, 236772, 167980, 2797, 87078, 80663, 827, 623, 77095, 1083, 11058, 3285, 87078, 827, 623, 201477, 827, 623, 30629, 36766, 827, 623, 230866, 15003, 827, 623, 130547, 176520, 73836, 14255, 623, 96654, 1083, 623, 22959, 120701, 236764, 6921, 607, 10445, 39994, 236764, 101667, 73375, 236764, 22027, 15003, 236764, 532, 5808, 607, 21905, 176520, 73836, 221476, 3714, 3250, 1083, 623, 219699, 71349, 18705, 49430, 165327, 587, 35770, 827, 623, 77095, 1083, 11058, 7670, 30859, 827, 623, 25977, 14403, 827, 623, 60538, 827, 623, 2368, 12044, 9556, 827, 623, 199481, 8430, 14255, 623, 96654, 1083, 623, 76503, 784, 13153, 3097, 7080, 236764, 44323, 573, 236743, 236770, 6468, 1680, 12284, 1781, 104960, 623, 10617, 1083, 236743, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1806, 34037, 15028, 15136, 2721, 580, 506, 8385, 10458, 699, 506, 173396, 236772, 236819, 236771, 49626, 568, 53801, 3997, 66028, 532, 33901, 6868, 9935, 1473, 108, 236770, 236761, 5213, 94801, 236772, 11146, 3180, 8425, 71741, 42949, 88407, 1018, 138, 107, 139, 236772, 808, 64690, 63508, 8425, 71741, 236764, 12480, 16489, 236764, 55529, 236764, 94580, 236764, 33626, 236764, 14761, 71072, 138, 107, 139, 236772, 808, 72655, 63508, 28143, 236772, 41797, 5082, 699, 108802, 532, 33626, 531, 1894, 5013, 236772, 10619, 5663, 16625, 138, 108, 236778, 236761, 5213, 87354, 236772, 167980, 2797, 87078, 80663, 1018, 138, 107, 139, 236772, 808, 64690, 63508, 2797, 87078, 236764, 39994, 236764, 73375, 236764, 22027, 15003, 236764, 21905, 176520, 73836, 138, 107, 139, 236772, 808, 72655, 63508, 198526, 236772, 71295, 6237, 531, 3421, 33901, 9935, 532, 13690, 11293, 45898, 138, 108, 236800, 236761, 5213, 219699, 71349, 18705, 49430, 165327, 587, 35770, 1018, 138, 107, 139, 236772, 808, 64690, 63508, 165327, 236764, 4996, 14403, 236764, 21949, 236764, 47195, 9556, 236764, 37675, 8430, 138, 107, 139, 236772, 808, 72655, 63508, 35005, 6477, 236772, 9705, 236764, 105245, 236772, 197411, 9302, 573, 13690, 11293, 66028, 138, 108, 38786, 611, 1133, 786, 531, 59638, 1239, 15136, 3342, 2721, 580, 3530, 6213, 20183, 653, 49626, 21649, 64470, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 8812, 496, 28233, 35818, 6511, 573, 1041, 4399, 600, 28619, 9069, 2404, 10834, 607, 35677, 14984, 236761, 2282, 776, 672, 11974, 236764, 564, 1202, 611, 531, 1171, 33205, 506, 6524, 3567, 529, 506, 173396, 236772, 236819, 236771, 18237, 18241, 49626, 1699, 506, 49626, 236779, 15266, 2423, 5904, 236761, 9920, 564, 735, 600, 10834, 10318, 236764, 564, 236789, 859, 1461, 611, 531, 18840, 1061, 3004, 531, 8701, 1027, 10458, 4596, 531, 5013, 3997, 236764, 33901, 9935, 236764, 653, 13690, 11293, 30122, 236761, 18186, 580, 1724, 3530, 10458, 236764, 611, 1374, 1299, 1161, 506, 566, 236770, 236779, 42352, 5904, 531, 8729, 1806, 34037, 15028, 15136, 600, 1093, 1791, 1894, 7010, 37549, 1724, 23556, 66028, 236761, 1637, 951, 1288, 10458, 2849, 528, 506, 49626, 236764, 5091, 5205, 3927, 573, 2870, 35818, 23642, 9273, 573, 496, 60346, 2065, 5428, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15884, 29657, 236779, 547, 1083, 623, 6136, 236806, 236772, 236819, 236771, 236772, 236778, 236771, 236778, 236810, 236772, 236935, 236778, 827, 623, 4406, 1083, 623, 236766, 236800, 236761, 236812, 236761, 236770, 827, 623, 28145, 1083, 78493, 1862, 236779, 547, 1083, 623, 53801, 236779, 180988, 827, 623, 3250, 1083, 623, 94801, 8813, 66097, 5201, 827, 623, 33310, 1083, 78493, 15884, 236779, 547, 1083, 623, 13215, 236772, 236771, 236771, 236770, 827, 623, 1005, 1083, 623, 3910, 3187, 776, 611, 2707, 5663, 16625, 1913, 981, 3885, 32109, 623, 6275, 236779, 7669, 1083, 623, 236770, 236772, 236810, 33291, 907, 5559, 23179, 3714, 15884, 236779, 547, 1083, 623, 13215, 236772, 236771, 236770, 236810, 827, 623, 1005, 1083, 623, 6294, 611, 1161, 2780, 618, 496, 54460, 10241, 1913, 45998, 13443, 32109, 623, 6275, 236779, 7669, 1083, 623, 10784, 236786, 3771, 607, 7132, 109191, 236775, 200808, 3714, 1862, 236779, 547, 1083, 623, 115828, 236779, 55558, 827, 623, 3250, 1083, 623, 99419, 835, 40242, 72627, 827, 623, 33310, 1083, 78493, 15884, 236779, 547, 1083, 623, 10904, 236772, 236771, 236778, 236778, 827, 623, 1005, 1083, 623, 3910, 11572, 776, 611, 30656, 18761, 15188, 1913, 981, 14356, 32109, 623, 6275, 236779, 7669, 1083, 623, 42362, 236786, 236800, 236772, 236812, 236781, 236786, 14808, 236786, 236770, 236772, 236778, 236781, 236786, 14808, 236786, 32631, 236775, 15947, 104960, 623, 3955, 236779, 2084, 1083, 623, 9458, 236786, 3723, 827, 623, 4243, 3986, 1111, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 25938, 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, 15884, 29657, 236779, 15266, 2423, 14860, 532, 3671, 14255, 623, 29995, 1083, 3714, 236766, 236770, 236779, 42352, 1083, 623, 64020, 2864, 19284, 1680, 25409, 49626, 3671, 28079, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 3250, 1083, 623, 94801, 236772, 11146, 3180, 8425, 71741, 42949, 88407, 827, 623, 77095, 1083, 11058, 30727, 71741, 827, 623, 98293, 16489, 827, 623, 9767, 153373, 827, 623, 63893, 978, 827, 623, 158338, 827, 623, 82683, 71072, 14255, 623, 96654, 1083, 623, 236773, 1474, 236785, 236756, 236771, 236771, 236744, 236819, 108802, 532, 33626, 236764, 3944, 12480, 236764, 1299, 85460, 607, 16062, 532, 71072, 221476, 3714, 3250, 1083, 623, 87354, 236772, 167980, 2797, 87078, 80663, 827, 623, 77095, 1083, 11058, 3285, 87078, 827, 623, 201477, 827, 623, 30629, 36766, 827, 623, 230866, 15003, 827, 623, 130547, 176520, 73836, 14255, 623, 96654, 1083, 623, 22959, 120701, 236764, 6921, 607, 10445, 39994, 236764, 101667, 73375, 236764, 22027, 15003, 236764, 532, 5808, 607, 21905, 176520, 73836, 221476, 3714, 3250, 1083, 623, 219699, 71349, 18705, 49430, 165327, 587, 35770, 827, 623, 77095, 1083, 11058, 7670, 30859, 827, 623, 25977, 14403, 827, 623, 60538, 827, 623, 2368, 12044, 9556, 827, 623, 199481, 8430, 14255, 623, 96654, 1083, 623, 76503, 784, 13153, 3097, 7080, 236764, 44323, 573, 236743, 236770, 6468, 1680, 12284, 1781, 104960, 623, 10617, 1083, 236743, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1806, 34037, 15028, 15136, 2721, 580, 506, 8385, 10458, 699, 506, 173396, 236772, 236819, 236771, 49626, 568, 53801, 3997, 66028, 532, 33901, 6868, 9935, 1473, 108, 236770, 236761, 5213, 94801, 236772, 11146, 3180, 8425, 71741, 42949, 88407, 1018, 138, 107, 139, 236772, 808, 64690, 63508, 8425, 71741, 236764, 12480, 16489, 236764, 55529, 236764, 94580, 236764, 33626, 236764, 14761, 71072, 138, 107, 139, 236772, 808, 72655, 63508, 28143, 236772, 41797, 5082, 699, 108802, 532, 33626, 531, 1894, 5013, 236772, 10619, 5663, 16625, 138, 108, 236778, 236761, 5213, 87354, 236772, 167980, 2797, 87078, 80663, 1018, 138, 107, 139, 236772, 808, 64690, 63508, 2797, 87078, 236764, 39994, 236764, 73375, 236764, 22027, 15003, 236764, 21905, 176520, 73836, 138, 107, 139, 236772, 808, 72655, 63508, 198526, 236772, 71295, 6237, 531, 3421, 33901, 9935, 532, 13690, 11293, 45898, 138, 108, 236800, 236761, 5213, 219699, 71349, 18705, 49430, 165327, 587, 35770, 1018, 138, 107, 139, 236772, 808, 64690, 63508, 165327, 236764, 4996, 14403, 236764, 21949, 236764, 47195, 9556, 236764, 37675, 8430, 138, 107, 139, 236772, 808, 72655, 63508, 35005, 6477, 236772, 9705, 236764, 105245, 236772, 197411, 9302, 573, 13690, 11293, 66028, 138, 108, 38786, 611, 1133, 786, 531, 59638, 1239, 15136, 3342, 2721, 580, 3530, 6213, 20183, 653, 49626, 21649, 64470, 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, 531, 1502, 496, 1944, 1610, 15707, 528, 26457, 532, 1202, 531, 3050, 506, 2263, 2436, 2480, 236761, 28344, 611, 1171, 1601, 786, 8701, 6330, 11936, 528, 1023, 2433, 1699, 506, 974, 236779, 712, 236779, 66325, 1292, 236881, 564, 236789, 236753, 1133, 531, 18840, 910, 11024, 532, 17934, 151686, 531, 7075, 3435, 7760, 653, 28893, 528, 506, 2436, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66325, 1083, 78493, 6457, 236779, 547, 1083, 623, 147648, 236772, 236771, 236812, 236810, 827, 623, 7125, 1083, 3714, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 827, 623, 13319, 1083, 623, 167552, 827, 623, 3255, 1083, 623, 6973, 827, 623, 15905, 1083, 623, 236812, 236812, 236825, 236771, 236770, 827, 623, 37673, 1083, 236743, 236812, 236771, 236761, 236832, 236770, 236778, 236828, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236770, 236770, 236770, 236778, 1263, 623, 214144, 236779, 4818, 1083, 623, 117468, 827, 623, 6457, 236779, 2084, 1083, 623, 661, 15707, 827, 623, 21052, 1083, 3714, 13503, 236779, 123859, 1083, 236743, 236778, 236810, 236771, 236771, 236764, 623, 46589, 236779, 2086, 1083, 236743, 236770, 236810, 236771, 5237, 3714, 6457, 236779, 547, 1083, 623, 147648, 236772, 236771, 236832, 236828, 827, 623, 7125, 1083, 3714, 7720, 1083, 623, 236812, 236810, 236825, 20690, 18977, 827, 623, 13319, 1083, 623, 167552, 827, 623, 3255, 1083, 623, 6973, 827, 623, 15905, 1083, 623, 236812, 236812, 236825, 236771, 236778, 827, 623, 37673, 1083, 236743, 236812, 236771, 236761, 236832, 236771, 236828, 236819, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236770, 236771, 236800, 236810, 1263, 623, 214144, 236779, 4818, 1083, 623, 14566, 827, 623, 6457, 236779, 2084, 1083, 623, 153558, 46155, 827, 623, 21052, 1083, 3714, 13503, 236779, 123859, 1083, 236743, 236770, 236828, 236771, 236771, 236764, 623, 46589, 236779, 2086, 1083, 236743, 236828, 236771, 5237, 3714, 6457, 236779, 547, 1083, 623, 147648, 236772, 236771, 236819, 236778, 827, 623, 7125, 1083, 3714, 7720, 1083, 623, 236832, 236828, 236819, 33518, 16351, 827, 623, 13319, 1083, 623, 167552, 827, 623, 3255, 1083, 623, 6973, 827, 623, 15905, 1083, 623, 236812, 236812, 236825, 236771, 236800, 827, 623, 37673, 1083, 236743, 236812, 236771, 236761, 236832, 236770, 236810, 236825, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236770, 236778, 236812, 236832, 1263, 623, 214144, 236779, 4818, 1083, 623, 221174, 827, 623, 6457, 236779, 2084, 1083, 623, 12033, 2436, 827, 623, 21052, 1083, 3714, 13503, 236779, 123859, 1083, 236743, 236800, 236778, 236771, 236771, 236764, 623, 46589, 236779, 2086, 1083, 236743, 236778, 236771, 236771, 1807, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 28881, 236779, 103411, 1083, 3714, 13647, 1083, 623, 167552, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 25890, 529, 506, 6330, 11936, 528, 26457, 2721, 580, 822, 2864, 236787, 108, 1018, 236770, 236761, 4585, 25628, 568, 147648, 236772, 236771, 236812, 236810, 62902, 138, 107, 236772, 5213, 6375, 53121, 236743, 236770, 236778, 236800, 6400, 842, 236764, 26457, 236764, 28963, 236743, 236812, 236812, 236825, 236771, 236770, 138, 107, 236772, 5213, 6717, 53121, 38641, 138, 107, 236772, 5213, 3038, 53121, 236743, 236778, 236764, 236810, 236771, 236771, 18288, 12110, 138, 107, 236772, 5213, 37625, 53121, 236743, 236770, 236810, 236771, 4852, 138, 108, 1018, 236778, 236761, 43499, 106279, 568, 147648, 236772, 236771, 236832, 236828, 62902, 138, 107, 236772, 5213, 6375, 53121, 236743, 236812, 236810, 236825, 20690, 18977, 236764, 26457, 236764, 28963, 236743, 236812, 236812, 236825, 236771, 236778, 138, 107, 236772, 5213, 6717, 53121, 65287, 138, 107, 236772, 5213, 3038, 53121, 236743, 236770, 236764, 236828, 236771, 236771, 18288, 12110, 138, 107, 236772, 5213, 37625, 53121, 236743, 236828, 236771, 4852, 138, 108, 1018, 236800, 236761, 36903, 12726, 568, 147648, 236772, 236771, 236819, 236778, 62902, 138, 107, 236772, 5213, 6375, 53121, 236743, 236832, 236828, 236819, 33518, 16351, 236764, 26457, 236764, 28963, 236743, 236812, 236812, 236825, 236771, 236800, 138, 107, 236772, 5213, 6717, 53121, 138999, 568, 2609, 1090, 912, 236772, 2289, 236768, 138, 107, 236772, 5213, 3038, 53121, 236743, 236800, 236764, 236778, 236771, 236771, 18288, 12110, 138, 107, 236772, 5213, 37625, 53121, 236743, 236778, 236771, 236771, 4852, 138, 108, 10354, 9533, 73022, 236787, 138, 107, 236772, 5213, 10176, 41157, 53121, 10522, 886, 5158, 1610, 15707, 7519, 568, 147648, 236772, 236771, 236812, 236810, 779, 22169, 5809, 8105, 840, 3435, 2436, 37003, 573, 6672, 54828, 236761, 138, 107, 236772, 5213, 232944, 120735, 53121, 138, 107, 138, 236772, 669, 6535, 46155, 568, 147648, 236772, 236771, 236832, 236828, 236768, 2473, 10128, 496, 110154, 2557, 653, 166257, 5056, 528, 1061, 4563, 236761, 138, 107, 138, 236772, 669, 28594, 10946, 2436, 568, 147648, 236772, 236771, 236819, 236778, 236768, 1451, 6953, 171682, 3435, 573, 496, 1051, 236772, 979, 1610, 236772, 41889, 2557, 236761, 138, 107, 236772, 5213, 37625, 48993, 53121, 669, 10946, 2436, 815, 506, 7488, 18241, 236764, 22169, 1494, 11713, 2142, 528, 12801, 236764, 4916, 236772, 498, 31622, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 3530, 4889, 1003, 1027, 529, 1239, 11936, 3342, 236764, 653, 18840, 14942, 9576, 573, 4767, 4403, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1492, 1161, 974, 236779, 17870, 236779, 2003, 236779, 10618, 531, 17318, 506, 1610, 3211, 5633, 2487, 528, 26457, 236881, 564, 236789, 236753, 1133, 531, 1460, 1144, 4458, 529, 20431, 659, 1646, 5463, 16445, 236764, 910, 3385, 21280, 236764, 532, 15830, 236761, 1174, 795, 1601, 786, 3050, 768, 993, 236789, 236751, 5056, 573, 1607, 14062, 653, 116226, 711, 7438, 684, 4439, 236806, 236772, 236771, 236812, 236810, 236789, 236751, 1873, 18241, 529, 236743, 236770, 236810, 236771, 4852, 236761, 3792, 236789, 236751, 3213, 580, 25687, 532, 58435, 1171, 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, 6751, 236772, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 11008, 15909, 45004, 753, 756, 236788, 13534, 514, 25391, 7515, 75334, 623, 9707, 1083, 236743, 236778, 236812, 236819, 236761, 236819, 236819, 236764, 623, 56905, 1083, 623, 495, 236779, 14973, 827, 623, 7777, 1083, 623, 30498, 4446, 11710, 580, 12002, 236764, 236743, 236800, 236825, 236781, 236812, 236828, 12371, 236761, 167132, 7628, 5619, 1929, 1699, 33448, 61316, 236761, 19159, 12301, 529, 236743, 236810, 236771, 10498, 623, 28602, 1083, 623, 30080, 6554, 827, 623, 2084, 1083, 623, 104309, 23179, 3714, 5930, 236779, 547, 1083, 623, 6751, 236772, 236771, 236771, 236778, 827, 623, 1201, 1083, 623, 32899, 617, 67469, 121558, 753, 756, 66057, 19179, 75334, 623, 9707, 1083, 236743, 236828, 236819, 236819, 236761, 236819, 236819, 236764, 623, 56905, 1083, 623, 495, 236779, 14973, 827, 623, 7777, 1083, 623, 4974, 236772, 3973, 30174, 35560, 236764, 236743, 236770, 236828, 236781, 236770, 236778, 236781, 236778, 236812, 12371, 236761, 39332, 16085, 6667, 13696, 684, 3207, 13217, 236761, 62432, 684, 16236, 103904, 71918, 782, 194015, 10498, 623, 28602, 1083, 623, 73603, 1934, 827, 623, 2084, 1083, 623, 1166, 18115, 694, 23179, 3714, 5930, 236779, 547, 1083, 623, 6751, 236772, 236771, 236771, 236800, 827, 623, 1201, 1083, 623, 78225, 50647, 753, 756, 236792, 70426, 132974, 17468, 75334, 623, 9707, 1083, 236743, 236770, 236778, 236819, 236761, 236810, 236764, 623, 56905, 1083, 623, 725, 236779, 1340, 236779, 14973, 827, 623, 7777, 1083, 623, 29698, 529, 236743, 236810, 31633, 24482, 580, 83691, 3627, 236761, 17587, 39339, 607, 3538, 26536, 11521, 236761, 19159, 1845, 529, 236743, 236778, 236771, 236771, 10498, 623, 28602, 1083, 623, 128013, 827, 623, 2084, 1083, 623, 104309, 23179, 3714, 5930, 236779, 547, 1083, 623, 6751, 236772, 236771, 236771, 236812, 827, 623, 1201, 1083, 623, 79853, 152089, 121558, 753, 756, 79151, 7120, 26458, 75334, 623, 9707, 1083, 236743, 236812, 236810, 236771, 236761, 236771, 236764, 623, 56905, 1083, 623, 495, 236779, 14973, 827, 623, 7777, 1083, 623, 1479, 22004, 32049, 35560, 607, 136844, 6049, 4688, 236761, 41244, 186779, 9935, 1343, 2214, 532, 13024, 236761, 99423, 236743, 236770, 236770, 236771, 236847, 2066, 10498, 623, 28602, 1083, 623, 5168, 827, 623, 2084, 1083, 623, 1166, 18115, 694, 23179, 3714, 5930, 236779, 547, 1083, 623, 6751, 236772, 236771, 236771, 236810, 827, 623, 1201, 1083, 623, 105367, 11701, 195741, 753, 756, 66057, 123860, 75334, 623, 9707, 1083, 236743, 236770, 236819, 236819, 236761, 236819, 236819, 236764, 623, 56905, 1083, 623, 495, 236779, 14973, 827, 623, 7777, 1083, 623, 79342, 676, 529, 40399, 5417, 580, 12002, 236764, 236743, 236778, 236812, 236781, 236800, 236825, 12371, 236761, 11873, 2985, 22888, 529, 11321, 17538, 532, 38336, 236761, 56230, 524, 607, 101922, 6211, 10498, 623, 28602, 1083, 623, 63258, 4009, 827, 623, 2084, 1083, 623, 104309, 25938, 1604, 623, 10618, 1083, 623, 661, 827, 623, 6725, 236779, 12103, 1083, 236743, 236810, 236764, 623, 9707, 236779, 8572, 1083, 3714, 1387, 1083, 236743, 236770, 236778, 236819, 236761, 236810, 236764, 623, 2074, 1083, 236743, 236828, 236819, 236819, 236761, 236819, 236819, 1263, 623, 56905, 236779, 6011, 1083, 3714, 495, 236779, 14973, 1083, 236743, 236812, 236764, 623, 725, 236779, 1340, 236779, 14973, 1083, 236743, 236770, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 614, 3671, 529, 1873, 1610, 3211, 2487, 528, 26457, 236764, 19541, 580, 25687, 532, 58435, 236787, 108, 1018, 229233, 24222, 1018, 138, 107, 236770, 236761, 5213, 11008, 15909, 45004, 753, 623, 236788, 13534, 514, 25391, 7515, 236775, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236812, 236819, 236761, 236819, 236819, 1109, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 35202, 236787, 15909, 580, 12002, 1109, 19511, 236787, 236743, 236800, 236825, 236781, 236812, 236828, 236775, 138, 107, 139, 236772, 24118, 236787, 19159, 12301, 568, 236810, 236771, 16258, 779, 28239, 7628, 5619, 1929, 138, 108, 236778, 236761, 5213, 78225, 50647, 753, 623, 236792, 70426, 132974, 17468, 236775, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236778, 236819, 236761, 236810, 236771, 1109, 75669, 236787, 5641, 529, 13827, 138, 107, 139, 236772, 35202, 236787, 61946, 24482, 1109, 19511, 236787, 12142, 529, 236743, 236810, 24482, 138, 107, 139, 236772, 24118, 236787, 19159, 1845, 568, 236778, 236771, 236771, 779, 3538, 26536, 39339, 138, 108, 236800, 236761, 5213, 105367, 11701, 195741, 753, 623, 66057, 123860, 236775, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236819, 236761, 236819, 236819, 1109, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 35202, 236787, 4899, 37917, 5417, 900, 101922, 6211, 5528, 1109, 19511, 236787, 236743, 236778, 236812, 236781, 236800, 236825, 236775, 138, 107, 139, 236772, 24118, 236787, 11873, 2985, 11321, 17538, 22888, 138, 108, 1018, 7427, 4057, 7847, 55958, 1018, 138, 107, 236770, 236761, 5213, 32899, 617, 67469, 121558, 753, 623, 66057, 19179, 236775, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236819, 236761, 236819, 236819, 1109, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 35202, 236787, 67469, 1109, 19511, 236787, 236743, 236770, 236828, 236781, 236770, 236778, 236781, 236778, 236812, 236775, 138, 107, 139, 236772, 24118, 236787, 62432, 684, 8325, 71918, 782, 194015, 236764, 16085, 6667, 138, 108, 236778, 236761, 5213, 79853, 152089, 121558, 753, 623, 79151, 7120, 26458, 236775, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236812, 236810, 236771, 236761, 236771, 236771, 1109, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 35202, 236787, 1276, 22004, 32049, 607, 136844, 4688, 1109, 99423, 14855, 138, 107, 139, 236772, 24118, 236787, 10847, 236786, 18184, 9935, 236764, 28597, 236772, 18865, 5417, 138, 108, 7243, 108, 10354, 9533, 12726, 76374, 236787, 138, 107, 236772, 5213, 11280, 20214, 53121, 609, 236770, 236778, 236819, 236761, 236810, 236771, 236964, 236795, 236828, 236819, 236819, 236761, 236819, 236819, 568, 65141, 236751, 5056, 3418, 7715, 54358, 236768, 138, 107, 236772, 5213, 51164, 53121, 236743, 236828, 236771, 236908, 529, 4852, 528, 2862, 568, 128013, 24482, 659, 5633, 855, 529, 2862, 236764, 14846, 26453, 166257, 5056, 236768, 138, 107, 236772, 5213, 49074, 667, 2786, 53121, 138, 107, 138, 236772, 2301, 5177, 1610, 653, 35490, 10725, 138, 107, 138, 236772, 19159, 10065, 529, 15082, 14062, 568, 236744, 236761, 236759, 1126, 77152, 236764, 16855, 694, 236768, 138, 107, 138, 236772, 67469, 58435, 41932, 1494, 236772, 643, 21212, 138, 108, 10354, 47746, 62503, 236787, 138, 107, 236770, 236761, 5213, 14713, 65682, 35202, 236751, 53121, 138, 107, 139, 236772, 14232, 1610, 24482, 653, 35088, 93877, 138, 107, 139, 236772, 103790, 58435, 568, 1904, 23957, 236772, 5140, 4146, 1861, 236768, 138, 108, 236778, 236761, 5213, 11280, 40279, 30235, 53121, 138, 107, 139, 236772, 84567, 609, 236770, 236771, 236771, 236964, 236795, 236778, 236771, 236771, 2644, 568, 3374, 4913, 573, 25687, 236768, 138, 107, 139, 236772, 5803, 22346, 236772, 97875, 30174, 9097, 568, 16350, 12765, 609, 236819, 236771, 236771, 236862, 21212, 236768, 138, 108, 236800, 236761, 5213, 818, 18644, 667, 2786, 53121, 138, 107, 139, 236772, 60217, 10065, 529, 9226, 236786, 124977, 22888, 138, 107, 139, 236772, 2301, 21931, 653, 51229, 9496, 236772, 120375, 4146, 138, 108, 38786, 611, 1133, 786, 531, 10769, 3530, 1698, 4889, 2342, 4439, 236806, 236772, 236771, 236812, 236810, 236789, 236751, 18241, 653, 18840, 43365, 21212, 11298, 3342, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1161, 974, 236779, 5930, 236779, 13308, 580, 506, 30174, 35560, 623, 66057, 19179, 236775, 568, 79202, 1698, 5853, 7841, 236796, 236772, 236832, 236828, 236819, 2721, 580, 18241, 9935, 236768, 531, 18840, 1061, 23003, 532, 5602, 12056, 236881, 564, 1461, 531, 10769, 1061, 4065, 2342, 3435, 28893, 692, 8385, 236764, 1133, 506, 6220, 529, 25364, 58435, 236761, 40411, 1144, 3590, 672, 1494, 236772, 643, 6347, 6595, 1451, 1601, 6230, 1041, 15707, 236789, 236751, 13671, 31622, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 6664, 236796, 236772, 236832, 236828, 236819, 827, 623, 1201, 1083, 623, 66057, 19179, 67469, 121558, 827, 623, 7777, 1083, 623, 236776, 16236, 30174, 35560, 43887, 506, 10795, 7296, 529, 11321, 1972, 236764, 18482, 41686, 14581, 532, 11756, 16085, 6667, 236761, 7936, 69928, 684, 33461, 8325, 225665, 162364, 10498, 623, 86211, 1083, 3714, 4002, 236779, 9707, 1083, 6443, 236756, 236778, 236771, 236746, 236825, 236828, 236810, 236771, 236764, 236771, 236771, 236771, 827, 623, 27617, 1083, 623, 14702, 236797, 827, 623, 9707, 236779, 18308, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236772, 236770, 236810, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 236746, 236825, 236828, 236819, 236771, 236764, 236771, 236771, 236771, 25938, 1604, 623, 70343, 236779, 45118, 1083, 236743, 236812, 236761, 236810, 1263, 623, 56905, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 14973, 236779, 22111, 1083, 236743, 236770, 236778, 236764, 623, 81907, 236779, 8194, 1083, 11058, 107332, 2173, 236772, 236759, 21867, 8341, 827, 623, 902, 236772, 6457, 35312, 152254, 623, 5690, 8112, 1083, 3714, 63265, 1083, 623, 236812, 236810, 3696, 1123, 236743, 236800, 236771, 3696, 1123, 236743, 236778, 236771, 3696, 827, 623, 10236, 1083, 623, 58632, 30174, 607, 206382, 9009, 827, 623, 6078, 1083, 623, 236828, 236761, 236778, 7022, 827, 623, 77943, 1083, 623, 107443, 12301, 529, 236743, 236810, 236771, 23179, 623, 25016, 236779, 66850, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236800, 236832, 236764, 623, 209668, 1083, 11058, 65449, 1598, 83918, 827, 623, 155124, 8971, 7426, 4100, 528, 4532, 9952, 827, 623, 54133, 3825, 532, 13789, 152254, 623, 3871, 1083, 11058, 2574, 1411, 95102, 722, 236761, 854, 236786, 15981, 236832, 236828, 236819, 236779, 7171, 236761, 4034, 827, 623, 2574, 1411, 95102, 722, 236761, 854, 236786, 15981, 236832, 236828, 236819, 236779, 16988, 236770, 236761, 4034, 827, 623, 2574, 1411, 95102, 722, 236761, 854, 236786, 15981, 236832, 236828, 236819, 236779, 31040, 236779, 32024, 236761, 4034, 14255, 623, 28263, 1083, 3714, 10934, 236779, 68995, 1083, 11058, 51757, 5500, 12428, 607, 8325, 225665, 162364, 827, 623, 107332, 21212, 40101, 827, 623, 27915, 236772, 12027, 27820, 827, 623, 32214, 41707, 528, 1698, 6492, 14255, 623, 88933, 236779, 23184, 1083, 623, 236799, 63021, 11302, 528, 1494, 236772, 643, 26713, 58435, 236793, 25364, 24277, 6220, 3361, 83918, 36369, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 3671, 529, 506, 5213, 66057, 19179, 67469, 121558, 568, 6664, 236796, 236772, 236832, 236828, 236819, 62902, 532, 1061, 2436, 40101, 236787, 108, 7243, 108, 10354, 5213, 7163, 67831, 1018, 138, 107, 236772, 5213, 55141, 53121, 236743, 236812, 236810, 3696, 1123, 236743, 236800, 236771, 3696, 1123, 236743, 236778, 236771, 3696, 568, 41818, 3819, 14649, 236768, 138, 107, 236772, 5213, 18942, 53121, 26361, 30174, 607, 206382, 9009, 568, 236753, 28520, 236764, 56870, 23947, 236768, 138, 107, 236772, 5213, 17115, 53121, 236743, 236828, 236761, 236778, 7022, 568, 499, 4877, 3487, 531, 2597, 13671, 236768, 138, 107, 236772, 5213, 185912, 53121, 19159, 531, 236743, 236810, 236771, 9097, 568, 1166, 7868, 665, 236772, 27612, 12056, 236768, 138, 107, 236772, 5213, 11280, 53121, 236743, 245855, 236828, 236810, 236771, 236764, 236771, 236771, 236771, 568, 3843, 699, 236743, 245855, 236828, 236819, 236771, 236764, 236771, 236771, 236771, 236793, 236743, 236812, 236761, 236810, 236908, 12223, 236768, 138, 107, 236772, 5213, 51164, 53121, 799, 2862, 568, 236770, 236778, 6630, 779, 607, 13671, 8341, 3835, 138, 108, 7243, 108, 10354, 5213, 19952, 47137, 81800, 1018, 138, 107, 236770, 236761, 5213, 56051, 43276, 3092, 53121, 138, 107, 139, 236772, 20236, 684, 5213, 236798, 5657, 162364, 125546, 496, 33461, 103904, 607, 496, 3188, 17659, 573, 11321, 236772, 68122, 4146, 236761, 138, 107, 139, 236772, 49308, 8325, 14187, 568, 54012, 524, 528, 1698, 4876, 769, 138, 108, 236778, 236761, 5213, 107332, 178852, 53121, 138, 107, 139, 236772, 129649, 524, 657, 506, 1903, 529, 26457, 236858, 236751, 1873, 1610, 2436, 568, 245855, 236828, 236810, 236771, 236764, 236771, 236771, 236771, 67081, 609, 236770, 236764, 236832, 236771, 236771, 23058, 769, 138, 107, 139, 236772, 136994, 21192, 12985, 623, 37236, 9097, 236775, 573, 4532, 9952, 236761, 138, 108, 236800, 236761, 5213, 62300, 73103, 53121, 138, 107, 139, 236772, 5213, 236812, 236761, 236828, 236786, 236810, 4398, 14470, 1018, 699, 236743, 236770, 236800, 236832, 10595, 236764, 43605, 573, 236787, 138, 107, 141, 236772, 623, 65449, 1598, 7595, 532, 8052, 236775, 138, 107, 141, 236772, 623, 54133, 3825, 532, 13789, 236775, 138, 107, 141, 236772, 623, 155124, 8971, 7426, 4100, 236775, 138, 108, 236812, 236761, 5213, 32214, 41707, 53121, 138, 107, 139, 236772, 17243, 58811, 5213, 236775, 32169, 7296, 529, 11321, 1972, 236775, 1018, 532, 5213, 236775, 30023, 16085, 6667, 236775, 125546, 35745, 531, 21192, 12985, 92353, 8744, 236761, 138, 108, 7243, 108, 10354, 5213, 53377, 531, 103790, 121558, 62478, 1018, 138, 107, 818, 3671, 5433, 528, 506, 1262, 20756, 600, 5213, 155223, 24277, 1018, 528, 506, 2436, 6220, 236787, 138, 107, 236772, 5213, 62300, 73103, 36369, 1018, 568, 236744, 236761, 236759, 1126, 951, 5809, 52155, 236764, 31410, 8325, 88082, 769, 138, 107, 236772, 5213, 107332, 37388, 1018, 568, 236744, 236761, 236759, 1126, 206382, 236764, 26713, 34624, 769, 138, 107, 236772, 5213, 51757, 22323, 61842, 1018, 568, 236744, 236761, 236759, 1126, 92353, 23948, 531, 11321, 1972, 769, 138, 108, 7243, 108, 10354, 5213, 165108, 91330, 573, 5180, 25628, 1018, 138, 107, 236770, 236761, 5213, 107332, 103790, 46816, 1013, 53121, 138, 107, 139, 236772, 32300, 607, 25364, 11421, 531, 2619, 5213, 21028, 236772, 77943, 9097, 1018, 607, 41686, 2112, 109650, 653, 9726, 236772, 10494, 4820, 568, 236744, 236761, 236759, 1126, 30174, 236772, 155223, 82340, 769, 138, 107, 139, 236772, 14584, 164429, 568, 245855, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 236964, 245855, 236832, 236771, 236771, 236764, 236771, 236771, 236771, 236768, 531, 5727, 506, 11302, 1534, 7841, 236796, 236772, 236832, 236828, 236819, 532, 3718, 236772, 43289, 4146, 236761, 138, 108, 236778, 236761, 5213, 56051, 16976, 41707, 53121, 138, 107, 139, 236772, 4075, 7235, 7841, 236796, 236772, 236832, 236828, 236819, 236858, 236751, 2630, 684, 41671, 11421, 236858, 25168, 532, 9578, 6585, 528, 1698, 29141, 236761, 138, 108, 236800, 236761, 5213, 3900, 7868, 665, 833, 1787, 3067, 1952, 53121, 138, 107, 139, 236772, 6890, 5809, 8784, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236810, 236964, 236810, 236771, 52155, 236768, 531, 5697, 5056, 573, 861, 116226, 1133, 80602, 236761, 138, 108, 236812, 236761, 5213, 20216, 7263, 65130, 3254, 53121, 138, 107, 139, 236772, 10703, 528, 1494, 236772, 15276, 4876, 58442, 34624, 568, 236744, 236761, 236759, 1126, 3107, 236772, 11303, 529, 25364, 75521, 66006, 653, 30174, 206382, 769, 138, 108, 38786, 611, 1133, 531, 11327, 18649, 236772, 1048, 29141, 573, 3435, 25364, 58435, 653, 18840, 21212, 42178, 573, 861, 13671, 31622, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 1502, 496, 1944, 1610, 15707, 528, 26457, 532, 1202, 531, 3050, 506, 2263, 2436, 2480, 236761, 28344, 611, 1171, 1601, 786, 8701, 6330, 11936, 528, 1023, 2433, 1699, 506, 974, 236779, 712, 236779, 66325, 1292, 236881, 564, 236789, 236753, 1133, 531, 18840, 910, 11024, 532, 17934, 151686, 531, 7075, 3435, 7760, 653, 28893, 528, 506, 2436, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66325, 1083, 78493, 6457, 236779, 547, 1083, 623, 147648, 236772, 236771, 236812, 236810, 827, 623, 7125, 1083, 3714, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 827, 623, 13319, 1083, 623, 167552, 827, 623, 3255, 1083, 623, 6973, 827, 623, 15905, 1083, 623, 236812, 236812, 236825, 236771, 236770, 827, 623, 37673, 1083, 236743, 236812, 236771, 236761, 236832, 236770, 236778, 236828, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236770, 236770, 236770, 236778, 1263, 623, 214144, 236779, 4818, 1083, 623, 117468, 827, 623, 6457, 236779, 2084, 1083, 623, 661, 15707, 827, 623, 21052, 1083, 3714, 13503, 236779, 123859, 1083, 236743, 236778, 236810, 236771, 236771, 236764, 623, 46589, 236779, 2086, 1083, 236743, 236770, 236810, 236771, 5237, 3714, 6457, 236779, 547, 1083, 623, 147648, 236772, 236771, 236832, 236828, 827, 623, 7125, 1083, 3714, 7720, 1083, 623, 236812, 236810, 236825, 20690, 18977, 827, 623, 13319, 1083, 623, 167552, 827, 623, 3255, 1083, 623, 6973, 827, 623, 15905, 1083, 623, 236812, 236812, 236825, 236771, 236778, 827, 623, 37673, 1083, 236743, 236812, 236771, 236761, 236832, 236771, 236828, 236819, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236770, 236771, 236800, 236810, 1263, 623, 214144, 236779, 4818, 1083, 623, 14566, 827, 623, 6457, 236779, 2084, 1083, 623, 153558, 46155, 827, 623, 21052, 1083, 3714, 13503, 236779, 123859, 1083, 236743, 236770, 236828, 236771, 236771, 236764, 623, 46589, 236779, 2086, 1083, 236743, 236828, 236771, 5237, 3714, 6457, 236779, 547, 1083, 623, 147648, 236772, 236771, 236819, 236778, 827, 623, 7125, 1083, 3714, 7720, 1083, 623, 236832, 236828, 236819, 33518, 16351, 827, 623, 13319, 1083, 623, 167552, 827, 623, 3255, 1083, 623, 6973, 827, 623, 15905, 1083, 623, 236812, 236812, 236825, 236771, 236800, 827, 623, 37673, 1083, 236743, 236812, 236771, 236761, 236832, 236770, 236810, 236825, 236764, 623, 41713, 1083, 753, 236828, 236770, 236761, 236770, 236778, 236812, 236832, 1263, 623, 214144, 236779, 4818, 1083, 623, 221174, 827, 623, 6457, 236779, 2084, 1083, 623, 12033, 2436, 827, 623, 21052, 1083, 3714, 13503, 236779, 123859, 1083, 236743, 236800, 236778, 236771, 236771, 236764, 623, 46589, 236779, 2086, 1083, 236743, 236778, 236771, 236771, 1807, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 28881, 236779, 103411, 1083, 3714, 13647, 1083, 623, 167552, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 25890, 529, 506, 6330, 11936, 528, 26457, 2721, 580, 822, 2864, 236787, 108, 1018, 236770, 236761, 4585, 25628, 568, 147648, 236772, 236771, 236812, 236810, 62902, 138, 107, 236772, 5213, 6375, 53121, 236743, 236770, 236778, 236800, 6400, 842, 236764, 26457, 236764, 28963, 236743, 236812, 236812, 236825, 236771, 236770, 138, 107, 236772, 5213, 6717, 53121, 38641, 138, 107, 236772, 5213, 3038, 53121, 236743, 236778, 236764, 236810, 236771, 236771, 18288, 12110, 138, 107, 236772, 5213, 37625, 53121, 236743, 236770, 236810, 236771, 4852, 138, 108, 1018, 236778, 236761, 43499, 106279, 568, 147648, 236772, 236771, 236832, 236828, 62902, 138, 107, 236772, 5213, 6375, 53121, 236743, 236812, 236810, 236825, 20690, 18977, 236764, 26457, 236764, 28963, 236743, 236812, 236812, 236825, 236771, 236778, 138, 107, 236772, 5213, 6717, 53121, 65287, 138, 107, 236772, 5213, 3038, 53121, 236743, 236770, 236764, 236828, 236771, 236771, 18288, 12110, 138, 107, 236772, 5213, 37625, 53121, 236743, 236828, 236771, 4852, 138, 108, 1018, 236800, 236761, 36903, 12726, 568, 147648, 236772, 236771, 236819, 236778, 62902, 138, 107, 236772, 5213, 6375, 53121, 236743, 236832, 236828, 236819, 33518, 16351, 236764, 26457, 236764, 28963, 236743, 236812, 236812, 236825, 236771, 236800, 138, 107, 236772, 5213, 6717, 53121, 138999, 568, 2609, 1090, 912, 236772, 2289, 236768, 138, 107, 236772, 5213, 3038, 53121, 236743, 236800, 236764, 236778, 236771, 236771, 18288, 12110, 138, 107, 236772, 5213, 37625, 53121, 236743, 236778, 236771, 236771, 4852, 138, 108, 10354, 9533, 73022, 236787, 138, 107, 236772, 5213, 10176, 41157, 53121, 10522, 886, 5158, 1610, 15707, 7519, 568, 147648, 236772, 236771, 236812, 236810, 779, 22169, 5809, 8105, 840, 3435, 2436, 37003, 573, 6672, 54828, 236761, 138, 107, 236772, 5213, 232944, 120735, 53121, 138, 107, 138, 236772, 669, 6535, 46155, 568, 147648, 236772, 236771, 236832, 236828, 236768, 2473, 10128, 496, 110154, 2557, 653, 166257, 5056, 528, 1061, 4563, 236761, 138, 107, 138, 236772, 669, 28594, 10946, 2436, 568, 147648, 236772, 236771, 236819, 236778, 236768, 1451, 6953, 171682, 3435, 573, 496, 1051, 236772, 979, 1610, 236772, 41889, 2557, 236761, 138, 107, 236772, 5213, 37625, 48993, 53121, 669, 10946, 2436, 815, 506, 7488, 18241, 236764, 22169, 1494, 11713, 2142, 528, 12801, 236764, 4916, 236772, 498, 31622, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 3530, 4889, 1003, 1027, 529, 1239, 11936, 3342, 236764, 653, 18840, 14942, 9576, 573, 4767, 4403, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1492, 1161, 974, 236779, 17870, 236779, 2003, 236779, 10618, 531, 17318, 506, 1610, 3211, 5633, 2487, 528, 26457, 236881, 564, 236789, 236753, 1133, 531, 1460, 1144, 4458, 529, 20431, 659, 1646, 5463, 16445, 236764, 910, 3385, 21280, 236764, 532, 15830, 236761, 1174, 795, 1601, 786, 3050, 768, 993, 236789, 236751, 5056, 573, 1607, 14062, 653, 116226, 711, 7438, 684, 4439, 236806, 236772, 236771, 236812, 236810, 236789, 236751, 1873, 18241, 529, 236743, 236770, 236810, 236771, 4852, 236761, 3792, 236789, 236751, 3213, 580, 25687, 532, 58435, 1171, 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, 6751, 236772, 236771, 236771, 236770, 827, 623, 1201, 1083, 623, 11008, 15909, 45004, 753, 756, 236788, 13534, 514, 25391, 7515, 75334, 623, 9707, 1083, 236743, 236778, 236812, 236819, 236761, 236819, 236819, 236764, 623, 56905, 1083, 623, 495, 236779, 14973, 827, 623, 7777, 1083, 623, 30498, 4446, 11710, 580, 12002, 236764, 236743, 236800, 236825, 236781, 236812, 236828, 12371, 236761, 167132, 7628, 5619, 1929, 1699, 33448, 61316, 236761, 19159, 12301, 529, 236743, 236810, 236771, 10498, 623, 28602, 1083, 623, 30080, 6554, 827, 623, 2084, 1083, 623, 104309, 23179, 3714, 5930, 236779, 547, 1083, 623, 6751, 236772, 236771, 236771, 236778, 827, 623, 1201, 1083, 623, 32899, 617, 67469, 121558, 753, 756, 66057, 19179, 75334, 623, 9707, 1083, 236743, 236828, 236819, 236819, 236761, 236819, 236819, 236764, 623, 56905, 1083, 623, 495, 236779, 14973, 827, 623, 7777, 1083, 623, 4974, 236772, 3973, 30174, 35560, 236764, 236743, 236770, 236828, 236781, 236770, 236778, 236781, 236778, 236812, 12371, 236761, 39332, 16085, 6667, 13696, 684, 3207, 13217, 236761, 62432, 684, 16236, 103904, 71918, 782, 194015, 10498, 623, 28602, 1083, 623, 73603, 1934, 827, 623, 2084, 1083, 623, 1166, 18115, 694, 23179, 3714, 5930, 236779, 547, 1083, 623, 6751, 236772, 236771, 236771, 236800, 827, 623, 1201, 1083, 623, 78225, 50647, 753, 756, 236792, 70426, 132974, 17468, 75334, 623, 9707, 1083, 236743, 236770, 236778, 236819, 236761, 236810, 236764, 623, 56905, 1083, 623, 725, 236779, 1340, 236779, 14973, 827, 623, 7777, 1083, 623, 29698, 529, 236743, 236810, 31633, 24482, 580, 83691, 3627, 236761, 17587, 39339, 607, 3538, 26536, 11521, 236761, 19159, 1845, 529, 236743, 236778, 236771, 236771, 10498, 623, 28602, 1083, 623, 128013, 827, 623, 2084, 1083, 623, 104309, 23179, 3714, 5930, 236779, 547, 1083, 623, 6751, 236772, 236771, 236771, 236812, 827, 623, 1201, 1083, 623, 79853, 152089, 121558, 753, 756, 79151, 7120, 26458, 75334, 623, 9707, 1083, 236743, 236812, 236810, 236771, 236761, 236771, 236764, 623, 56905, 1083, 623, 495, 236779, 14973, 827, 623, 7777, 1083, 623, 1479, 22004, 32049, 35560, 607, 136844, 6049, 4688, 236761, 41244, 186779, 9935, 1343, 2214, 532, 13024, 236761, 99423, 236743, 236770, 236770, 236771, 236847, 2066, 10498, 623, 28602, 1083, 623, 5168, 827, 623, 2084, 1083, 623, 1166, 18115, 694, 23179, 3714, 5930, 236779, 547, 1083, 623, 6751, 236772, 236771, 236771, 236810, 827, 623, 1201, 1083, 623, 105367, 11701, 195741, 753, 756, 66057, 123860, 75334, 623, 9707, 1083, 236743, 236770, 236819, 236819, 236761, 236819, 236819, 236764, 623, 56905, 1083, 623, 495, 236779, 14973, 827, 623, 7777, 1083, 623, 79342, 676, 529, 40399, 5417, 580, 12002, 236764, 236743, 236778, 236812, 236781, 236800, 236825, 12371, 236761, 11873, 2985, 22888, 529, 11321, 17538, 532, 38336, 236761, 56230, 524, 607, 101922, 6211, 10498, 623, 28602, 1083, 623, 63258, 4009, 827, 623, 2084, 1083, 623, 104309, 25938, 1604, 623, 10618, 1083, 623, 661, 827, 623, 6725, 236779, 12103, 1083, 236743, 236810, 236764, 623, 9707, 236779, 8572, 1083, 3714, 1387, 1083, 236743, 236770, 236778, 236819, 236761, 236810, 236764, 623, 2074, 1083, 236743, 236828, 236819, 236819, 236761, 236819, 236819, 1263, 623, 56905, 236779, 6011, 1083, 3714, 495, 236779, 14973, 1083, 236743, 236812, 236764, 623, 725, 236779, 1340, 236779, 14973, 1083, 236743, 236770, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 614, 3671, 529, 1873, 1610, 3211, 2487, 528, 26457, 236764, 19541, 580, 25687, 532, 58435, 236787, 108, 1018, 229233, 24222, 1018, 138, 107, 236770, 236761, 5213, 11008, 15909, 45004, 753, 623, 236788, 13534, 514, 25391, 7515, 236775, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236778, 236812, 236819, 236761, 236819, 236819, 1109, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 35202, 236787, 15909, 580, 12002, 1109, 19511, 236787, 236743, 236800, 236825, 236781, 236812, 236828, 236775, 138, 107, 139, 236772, 24118, 236787, 19159, 12301, 568, 236810, 236771, 16258, 779, 28239, 7628, 5619, 1929, 138, 108, 236778, 236761, 5213, 78225, 50647, 753, 623, 236792, 70426, 132974, 17468, 236775, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236778, 236819, 236761, 236810, 236771, 1109, 75669, 236787, 5641, 529, 13827, 138, 107, 139, 236772, 35202, 236787, 61946, 24482, 1109, 19511, 236787, 12142, 529, 236743, 236810, 24482, 138, 107, 139, 236772, 24118, 236787, 19159, 1845, 568, 236778, 236771, 236771, 779, 3538, 26536, 39339, 138, 108, 236800, 236761, 5213, 105367, 11701, 195741, 753, 623, 66057, 123860, 236775, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236819, 236819, 236761, 236819, 236819, 1109, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 35202, 236787, 4899, 37917, 5417, 900, 101922, 6211, 5528, 1109, 19511, 236787, 236743, 236778, 236812, 236781, 236800, 236825, 236775, 138, 107, 139, 236772, 24118, 236787, 11873, 2985, 11321, 17538, 22888, 138, 108, 1018, 7427, 4057, 7847, 55958, 1018, 138, 107, 236770, 236761, 5213, 32899, 617, 67469, 121558, 753, 623, 66057, 19179, 236775, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236819, 236761, 236819, 236819, 1109, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 35202, 236787, 67469, 1109, 19511, 236787, 236743, 236770, 236828, 236781, 236770, 236778, 236781, 236778, 236812, 236775, 138, 107, 139, 236772, 24118, 236787, 62432, 684, 8325, 71918, 782, 194015, 236764, 16085, 6667, 138, 108, 236778, 236761, 5213, 79853, 152089, 121558, 753, 623, 79151, 7120, 26458, 236775, 1018, 138, 107, 139, 236772, 14584, 236787, 609, 236812, 236810, 236771, 236761, 236771, 236771, 1109, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 35202, 236787, 1276, 22004, 32049, 607, 136844, 4688, 1109, 99423, 14855, 138, 107, 139, 236772, 24118, 236787, 10847, 236786, 18184, 9935, 236764, 28597, 236772, 18865, 5417, 138, 108, 7243, 108, 10354, 9533, 12726, 76374, 236787, 138, 107, 236772, 5213, 11280, 20214, 53121, 609, 236770, 236778, 236819, 236761, 236810, 236771, 236964, 236795, 236828, 236819, 236819, 236761, 236819, 236819, 568, 65141, 236751, 5056, 3418, 7715, 54358, 236768, 138, 107, 236772, 5213, 51164, 53121, 236743, 236828, 236771, 236908, 529, 4852, 528, 2862, 568, 128013, 24482, 659, 5633, 855, 529, 2862, 236764, 14846, 26453, 166257, 5056, 236768, 138, 107, 236772, 5213, 49074, 667, 2786, 53121, 138, 107, 138, 236772, 2301, 5177, 1610, 653, 35490, 10725, 138, 107, 138, 236772, 19159, 10065, 529, 15082, 14062, 568, 236744, 236761, 236759, 1126, 77152, 236764, 16855, 694, 236768, 138, 107, 138, 236772, 67469, 58435, 41932, 1494, 236772, 643, 21212, 138, 108, 10354, 47746, 62503, 236787, 138, 107, 236770, 236761, 5213, 14713, 65682, 35202, 236751, 53121, 138, 107, 139, 236772, 14232, 1610, 24482, 653, 35088, 93877, 138, 107, 139, 236772, 103790, 58435, 568, 1904, 23957, 236772, 5140, 4146, 1861, 236768, 138, 108, 236778, 236761, 5213, 11280, 40279, 30235, 53121, 138, 107, 139, 236772, 84567, 609, 236770, 236771, 236771, 236964, 236795, 236778, 236771, 236771, 2644, 568, 3374, 4913, 573, 25687, 236768, 138, 107, 139, 236772, 5803, 22346, 236772, 97875, 30174, 9097, 568, 16350, 12765, 609, 236819, 236771, 236771, 236862, 21212, 236768, 138, 108, 236800, 236761, 5213, 818, 18644, 667, 2786, 53121, 138, 107, 139, 236772, 60217, 10065, 529, 9226, 236786, 124977, 22888, 138, 107, 139, 236772, 2301, 21931, 653, 51229, 9496, 236772, 120375, 4146, 138, 108, 38786, 611, 1133, 786, 531, 10769, 3530, 1698, 4889, 2342, 4439, 236806, 236772, 236771, 236812, 236810, 236789, 236751, 18241, 653, 18840, 43365, 21212, 11298, 3342, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1161, 974, 236779, 5930, 236779, 13308, 580, 506, 30174, 35560, 623, 66057, 19179, 236775, 568, 79202, 1698, 5853, 7841, 236796, 236772, 236832, 236828, 236819, 2721, 580, 18241, 9935, 236768, 531, 18840, 1061, 23003, 532, 5602, 12056, 236881, 564, 1461, 531, 10769, 1061, 4065, 2342, 3435, 28893, 692, 8385, 236764, 1133, 506, 6220, 529, 25364, 58435, 236761, 40411, 1144, 3590, 672, 1494, 236772, 643, 6347, 6595, 1451, 1601, 6230, 1041, 15707, 236789, 236751, 13671, 31622, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 6664, 236796, 236772, 236832, 236828, 236819, 827, 623, 1201, 1083, 623, 66057, 19179, 67469, 121558, 827, 623, 7777, 1083, 623, 236776, 16236, 30174, 35560, 43887, 506, 10795, 7296, 529, 11321, 1972, 236764, 18482, 41686, 14581, 532, 11756, 16085, 6667, 236761, 7936, 69928, 684, 33461, 8325, 225665, 162364, 10498, 623, 86211, 1083, 3714, 4002, 236779, 9707, 1083, 6443, 236756, 236778, 236771, 236746, 236825, 236828, 236810, 236771, 236764, 236771, 236771, 236771, 827, 623, 27617, 1083, 623, 14702, 236797, 827, 623, 9707, 236779, 18308, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236772, 236770, 236810, 827, 623, 9707, 1083, 6443, 236756, 236778, 236771, 236746, 236825, 236828, 236819, 236771, 236764, 236771, 236771, 236771, 25938, 1604, 623, 70343, 236779, 45118, 1083, 236743, 236812, 236761, 236810, 1263, 623, 56905, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 14973, 236779, 22111, 1083, 236743, 236770, 236778, 236764, 623, 81907, 236779, 8194, 1083, 11058, 107332, 2173, 236772, 236759, 21867, 8341, 827, 623, 902, 236772, 6457, 35312, 152254, 623, 5690, 8112, 1083, 3714, 63265, 1083, 623, 236812, 236810, 3696, 1123, 236743, 236800, 236771, 3696, 1123, 236743, 236778, 236771, 3696, 827, 623, 10236, 1083, 623, 58632, 30174, 607, 206382, 9009, 827, 623, 6078, 1083, 623, 236828, 236761, 236778, 7022, 827, 623, 77943, 1083, 623, 107443, 12301, 529, 236743, 236810, 236771, 23179, 623, 25016, 236779, 66850, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236800, 236832, 236764, 623, 209668, 1083, 11058, 65449, 1598, 83918, 827, 623, 155124, 8971, 7426, 4100, 528, 4532, 9952, 827, 623, 54133, 3825, 532, 13789, 152254, 623, 3871, 1083, 11058, 2574, 1411, 95102, 722, 236761, 854, 236786, 15981, 236832, 236828, 236819, 236779, 7171, 236761, 4034, 827, 623, 2574, 1411, 95102, 722, 236761, 854, 236786, 15981, 236832, 236828, 236819, 236779, 16988, 236770, 236761, 4034, 827, 623, 2574, 1411, 95102, 722, 236761, 854, 236786, 15981, 236832, 236828, 236819, 236779, 31040, 236779, 32024, 236761, 4034, 14255, 623, 28263, 1083, 3714, 10934, 236779, 68995, 1083, 11058, 51757, 5500, 12428, 607, 8325, 225665, 162364, 827, 623, 107332, 21212, 40101, 827, 623, 27915, 236772, 12027, 27820, 827, 623, 32214, 41707, 528, 1698, 6492, 14255, 623, 88933, 236779, 23184, 1083, 623, 236799, 63021, 11302, 528, 1494, 236772, 643, 26713, 58435, 236793, 25364, 24277, 6220, 3361, 83918, 36369, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 3671, 529, 506, 5213, 66057, 19179, 67469, 121558, 568, 6664, 236796, 236772, 236832, 236828, 236819, 62902, 532, 1061, 2436, 40101, 236787, 108, 7243, 108, 10354, 5213, 7163, 67831, 1018, 138, 107, 236772, 5213, 55141, 53121, 236743, 236812, 236810, 3696, 1123, 236743, 236800, 236771, 3696, 1123, 236743, 236778, 236771, 3696, 568, 41818, 3819, 14649, 236768, 138, 107, 236772, 5213, 18942, 53121, 26361, 30174, 607, 206382, 9009, 568, 236753, 28520, 236764, 56870, 23947, 236768, 138, 107, 236772, 5213, 17115, 53121, 236743, 236828, 236761, 236778, 7022, 568, 499, 4877, 3487, 531, 2597, 13671, 236768, 138, 107, 236772, 5213, 185912, 53121, 19159, 531, 236743, 236810, 236771, 9097, 568, 1166, 7868, 665, 236772, 27612, 12056, 236768, 138, 107, 236772, 5213, 11280, 53121, 236743, 245855, 236828, 236810, 236771, 236764, 236771, 236771, 236771, 568, 3843, 699, 236743, 245855, 236828, 236819, 236771, 236764, 236771, 236771, 236771, 236793, 236743, 236812, 236761, 236810, 236908, 12223, 236768, 138, 107, 236772, 5213, 51164, 53121, 799, 2862, 568, 236770, 236778, 6630, 779, 607, 13671, 8341, 3835, 138, 108, 7243, 108, 10354, 5213, 19952, 47137, 81800, 1018, 138, 107, 236770, 236761, 5213, 56051, 43276, 3092, 53121, 138, 107, 139, 236772, 20236, 684, 5213, 236798, 5657, 162364, 125546, 496, 33461, 103904, 607, 496, 3188, 17659, 573, 11321, 236772, 68122, 4146, 236761, 138, 107, 139, 236772, 49308, 8325, 14187, 568, 54012, 524, 528, 1698, 4876, 769, 138, 108, 236778, 236761, 5213, 107332, 178852, 53121, 138, 107, 139, 236772, 129649, 524, 657, 506, 1903, 529, 26457, 236858, 236751, 1873, 1610, 2436, 568, 245855, 236828, 236810, 236771, 236764, 236771, 236771, 236771, 67081, 609, 236770, 236764, 236832, 236771, 236771, 23058, 769, 138, 107, 139, 236772, 136994, 21192, 12985, 623, 37236, 9097, 236775, 573, 4532, 9952, 236761, 138, 108, 236800, 236761, 5213, 62300, 73103, 53121, 138, 107, 139, 236772, 5213, 236812, 236761, 236828, 236786, 236810, 4398, 14470, 1018, 699, 236743, 236770, 236800, 236832, 10595, 236764, 43605, 573, 236787, 138, 107, 141, 236772, 623, 65449, 1598, 7595, 532, 8052, 236775, 138, 107, 141, 236772, 623, 54133, 3825, 532, 13789, 236775, 138, 107, 141, 236772, 623, 155124, 8971, 7426, 4100, 236775, 138, 108, 236812, 236761, 5213, 32214, 41707, 53121, 138, 107, 139, 236772, 17243, 58811, 5213, 236775, 32169, 7296, 529, 11321, 1972, 236775, 1018, 532, 5213, 236775, 30023, 16085, 6667, 236775, 125546, 35745, 531, 21192, 12985, 92353, 8744, 236761, 138, 108, 7243, 108, 10354, 5213, 53377, 531, 103790, 121558, 62478, 1018, 138, 107, 818, 3671, 5433, 528, 506, 1262, 20756, 600, 5213, 155223, 24277, 1018, 528, 506, 2436, 6220, 236787, 138, 107, 236772, 5213, 62300, 73103, 36369, 1018, 568, 236744, 236761, 236759, 1126, 951, 5809, 52155, 236764, 31410, 8325, 88082, 769, 138, 107, 236772, 5213, 107332, 37388, 1018, 568, 236744, 236761, 236759, 1126, 206382, 236764, 26713, 34624, 769, 138, 107, 236772, 5213, 51757, 22323, 61842, 1018, 568, 236744, 236761, 236759, 1126, 92353, 23948, 531, 11321, 1972, 769, 138, 108, 7243, 108, 10354, 5213, 165108, 91330, 573, 5180, 25628, 1018, 138, 107, 236770, 236761, 5213, 107332, 103790, 46816, 1013, 53121, 138, 107, 139, 236772, 32300, 607, 25364, 11421, 531, 2619, 5213, 21028, 236772, 77943, 9097, 1018, 607, 41686, 2112, 109650, 653, 9726, 236772, 10494, 4820, 568, 236744, 236761, 236759, 1126, 30174, 236772, 155223, 82340, 769, 138, 107, 139, 236772, 14584, 164429, 568, 245855, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 236964, 245855, 236832, 236771, 236771, 236764, 236771, 236771, 236771, 236768, 531, 5727, 506, 11302, 1534, 7841, 236796, 236772, 236832, 236828, 236819, 532, 3718, 236772, 43289, 4146, 236761, 138, 108, 236778, 236761, 5213, 56051, 16976, 41707, 53121, 138, 107, 139, 236772, 4075, 7235, 7841, 236796, 236772, 236832, 236828, 236819, 236858, 236751, 2630, 684, 41671, 11421, 236858, 25168, 532, 9578, 6585, 528, 1698, 29141, 236761, 138, 108, 236800, 236761, 5213, 3900, 7868, 665, 833, 1787, 3067, 1952, 53121, 138, 107, 139, 236772, 6890, 5809, 8784, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236810, 236964, 236810, 236771, 52155, 236768, 531, 5697, 5056, 573, 861, 116226, 1133, 80602, 236761, 138, 108, 236812, 236761, 5213, 20216, 7263, 65130, 3254, 53121, 138, 107, 139, 236772, 10703, 528, 1494, 236772, 15276, 4876, 58442, 34624, 568, 236744, 236761, 236759, 1126, 3107, 236772, 11303, 529, 25364, 75521, 66006, 653, 30174, 206382, 769, 138, 108, 38786, 611, 1133, 531, 11327, 18649, 236772, 1048, 29141, 573, 3435, 25364, 58435, 653, 18840, 21212, 42178, 573, 861, 13671, 31622, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1601, 786, 1586, 506, 20480, 16047, 528, 84713, 236764, 25428, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1404, 3370, 1083, 78493, 3970, 1083, 623, 236774, 4110, 827, 623, 1201, 1083, 623, 120017, 13872, 1088, 5751, 5785, 17526, 827, 623, 7125, 1083, 623, 27099, 1088, 5751, 4085, 236764, 3541, 84713, 23179, 3714, 3970, 1083, 623, 236774, 5790, 827, 623, 1201, 1083, 623, 79422, 53478, 15960, 59222, 17526, 827, 623, 7125, 1083, 623, 32382, 59222, 9252, 236764, 84713, 25938, 1604, 623, 4375, 1083, 623, 85532, 52236, 52132, 528, 84713, 236764, 25428, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 52132, 528, 84713, 236764, 25428, 236787, 108, 236770, 236761, 5213, 236774, 4110, 568, 120017, 13872, 1088, 5751, 5785, 17526, 62902, 138, 107, 139, 236772, 21617, 236787, 13872, 1088, 5751, 4085, 236764, 3541, 84713, 138, 107, 139, 236772, 808, 7765, 5251, 16047, 236764, 7436, 573, 1346, 39393, 9603, 108, 236778, 236761, 5213, 236774, 5790, 568, 79422, 53478, 15960, 59222, 17526, 62902, 138, 107, 139, 236772, 21617, 236787, 15960, 59222, 9252, 236764, 84713, 138, 107, 139, 236772, 808, 218189, 16047, 12532, 531, 22964, 84713, 236764, 13336, 573, 11451, 22344, 9603, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 236743, 244710, 238178, 106, 107, 105, 2364, 107, 10081, 564, 236789, 859, 577, 16270, 84713, 2148, 2297, 531, 11327, 1041, 23060, 236764, 1451, 611, 8729, 496, 5707, 4553, 3421, 564, 740, 1161, 531, 3662, 2263, 20472, 653, 4469, 26309, 236881, 106, 107, 105, 4368, 107, 30092, 611, 5091, 2847, 822, 1171, 1463, 236764, 1774, 1463, 236764, 532, 12373, 4553, 8610, 568, 236744, 236761, 236759, 1126, 623, 18112, 236761, 854, 236775, 653, 496, 5707, 8610, 236768, 531, 2619, 506, 4553, 3421, 236881, 1701, 2591, 236787, 138, 107, 1018, 7280, 7343, 53121, 70042, 138, 107, 1018, 9008, 7343, 53121, 9684, 138, 107, 1018, 31212, 53121, 23060, 152437, 236761, 854, 138, 108, 6481, 786, 1281, 1239, 4889, 236764, 532, 564, 236789, 859, 8729, 496, 5707, 4553, 573, 611, 236888, 236743, 249979, 106, 107, 105, 2364, 107, 1018, 7280, 7343, 53121, 143842, 5213, 9008, 7343, 53121, 15303, 5213, 31212, 53121, 23060, 152437, 236761, 854, 3792, 786, 1281, 1056, 506, 4553, 563, 5508, 237028, 236777, 236858, 236753, 2765, 531, 1502, 17154, 855, 531, 2263, 19722, 236888, 236743, 251184, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6774, 1083, 623, 220393, 236761, 78463, 236940, 223420, 152437, 236761, 854, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 5707, 4553, 3421, 573, 57416, 2263, 20472, 532, 4469, 26309, 528, 84713, 236787, 138, 108, 249979, 5213, 220393, 236761, 78463, 236940, 223420, 152437, 236761, 854, 1018, 138, 108, 2094, 4553, 563, 5508, 531, 1161, 573, 822, 23060, 22824, 6614, 236888, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 625, 3342, 653, 1202, 1601, 607, 1032, 36237, 573, 822, 7946, 236761, 236743, 248821, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1601, 786, 1586, 506, 20480, 16047, 528, 84713, 236764, 25428, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1404, 3370, 1083, 78493, 3970, 1083, 623, 236774, 4110, 827, 623, 1201, 1083, 623, 120017, 13872, 1088, 5751, 5785, 17526, 827, 623, 7125, 1083, 623, 27099, 1088, 5751, 4085, 236764, 3541, 84713, 23179, 3714, 3970, 1083, 623, 236774, 5790, 827, 623, 1201, 1083, 623, 79422, 53478, 15960, 59222, 17526, 827, 623, 7125, 1083, 623, 32382, 59222, 9252, 236764, 84713, 25938, 1604, 623, 4375, 1083, 623, 85532, 52236, 52132, 528, 84713, 236764, 25428, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 52132, 528, 84713, 236764, 25428, 236787, 108, 236770, 236761, 5213, 236774, 4110, 568, 120017, 13872, 1088, 5751, 5785, 17526, 62902, 138, 107, 139, 236772, 21617, 236787, 13872, 1088, 5751, 4085, 236764, 3541, 84713, 138, 107, 139, 236772, 808, 7765, 5251, 16047, 236764, 7436, 573, 1346, 39393, 9603, 108, 236778, 236761, 5213, 236774, 5790, 568, 79422, 53478, 15960, 59222, 17526, 62902, 138, 107, 139, 236772, 21617, 236787, 15960, 59222, 9252, 236764, 84713, 138, 107, 139, 236772, 808, 218189, 16047, 12532, 531, 22964, 84713, 236764, 13336, 573, 11451, 22344, 9603, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 236743, 244710, 238178, 106, 107, 105, 2364, 107, 10081, 564, 236789, 859, 577, 16270, 84713, 2148, 2297, 531, 11327, 1041, 23060, 236764, 1451, 611, 8729, 496, 5707, 4553, 3421, 564, 740, 1161, 531, 3662, 2263, 20472, 653, 4469, 26309, 236881, 106, 107, 105, 4368, 107, 30092, 611, 5091, 2847, 822, 1171, 1463, 236764, 1774, 1463, 236764, 532, 12373, 4553, 8610, 568, 236744, 236761, 236759, 1126, 623, 18112, 236761, 854, 236775, 653, 496, 5707, 8610, 236768, 531, 2619, 506, 4553, 3421, 236881, 1701, 2591, 236787, 138, 107, 1018, 7280, 7343, 53121, 70042, 138, 107, 1018, 9008, 7343, 53121, 9684, 138, 107, 1018, 31212, 53121, 23060, 152437, 236761, 854, 138, 108, 6481, 786, 1281, 1239, 4889, 236764, 532, 564, 236789, 859, 8729, 496, 5707, 4553, 573, 611, 236888, 236743, 249979, 106, 107, 105, 2364, 107, 1018, 7280, 7343, 53121, 143842, 5213, 9008, 7343, 53121, 15303, 5213, 31212, 53121, 23060, 152437, 236761, 854, 3792, 786, 1281, 1056, 506, 4553, 563, 5508, 237028, 236777, 236858, 236753, 2765, 531, 1502, 17154, 855, 531, 2263, 19722, 236888, 236743, 251184, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6774, 1083, 623, 220393, 236761, 78463, 236940, 223420, 152437, 236761, 854, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 5707, 4553, 3421, 573, 57416, 2263, 20472, 532, 4469, 26309, 528, 84713, 236787, 138, 108, 249979, 5213, 220393, 236761, 78463, 236940, 223420, 152437, 236761, 854, 1018, 138, 108, 2094, 4553, 563, 5508, 531, 1161, 573, 822, 23060, 22824, 6614, 236888, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 625, 3342, 653, 1202, 1601, 607, 1032, 36237, 573, 822, 7946, 236761, 236743, 248821, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 1202, 1601, 67896, 1873, 18241, 18558, 573, 1023, 4762, 236789, 236751, 861, 1698, 1757, 236761, 1191, 4087, 4852, 1699, 3530, 6137, 236764, 532, 564, 236789, 236757, 2963, 13007, 3978, 506, 6524, 4945, 236761, 3199, 611, 12270, 506, 1873, 1527, 573, 3211, 1208, 506, 623, 9435, 36047, 236775, 8038, 568, 738, 1575, 779, 2258, 623, 94465, 124929, 236775, 568, 3001, 779, 532, 5853, 236847, 623, 10890, 236836, 236770, 236778, 236800, 51653, 669, 1458, 6178, 614, 9299, 600, 7087, 1239, 43927, 6137, 236764, 532, 564, 1461, 531, 1386, 2889, 692, 236789, 500, 71039, 9668, 573, 506, 16038, 9226, 14680, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2861, 1083, 236743, 236770, 236810, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 89512, 236779, 14973, 827, 623, 19031, 236779, 3456, 1083, 3714, 3001, 1083, 623, 94465, 124929, 827, 623, 738, 1575, 1083, 623, 9435, 36047, 827, 623, 547, 236766, 1083, 623, 10890, 236836, 236770, 236778, 236800, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 18241, 1527, 573, 822, 9155, 6137, 236787, 108, 1018, 7163, 4308, 53121, 236743, 236770, 236810, 236771, 6630, 138, 107, 1018, 9008, 42841, 53121, 5261, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236770, 236812, 236787, 236778, 236800, 59528, 138, 107, 1018, 6717, 53121, 216700, 13827, 138, 107, 1018, 23742, 5587, 3059, 53121, 138, 107, 236772, 23223, 568, 738, 1575, 1473, 6863, 36047, 138, 107, 236772, 8040, 236787, 20692, 124929, 138, 107, 236772, 5853, 236847, 236787, 18584, 236836, 236770, 236778, 236800, 138, 108, 818, 1458, 11387, 16111, 18241, 4535, 573, 822, 16038, 9226, 14680, 236761, 21284, 611, 1133, 786, 531, 2426, 1027, 1032, 1698, 23003, 653, 6137, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 1202, 1601, 67896, 1873, 18241, 18558, 573, 1023, 4762, 236789, 236751, 861, 1698, 1757, 236761, 1191, 4087, 4852, 1699, 3530, 6137, 236764, 532, 564, 236789, 236757, 2963, 13007, 3978, 506, 6524, 4945, 236761, 3199, 611, 12270, 506, 1873, 1527, 573, 3211, 1208, 506, 623, 9435, 36047, 236775, 8038, 568, 738, 1575, 779, 2258, 623, 94465, 124929, 236775, 568, 3001, 779, 532, 5853, 236847, 623, 10890, 236836, 236770, 236778, 236800, 51653, 669, 1458, 6178, 614, 9299, 600, 7087, 1239, 43927, 6137, 236764, 532, 564, 1461, 531, 1386, 2889, 692, 236789, 500, 71039, 9668, 573, 506, 16038, 9226, 14680, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2861, 1083, 236743, 236770, 236810, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 89512, 236779, 14973, 827, 623, 19031, 236779, 3456, 1083, 3714, 3001, 1083, 623, 94465, 124929, 827, 623, 738, 1575, 1083, 623, 9435, 36047, 827, 623, 547, 236766, 1083, 623, 10890, 236836, 236770, 236778, 236800, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 18241, 1527, 573, 822, 9155, 6137, 236787, 108, 1018, 7163, 4308, 53121, 236743, 236770, 236810, 236771, 6630, 138, 107, 1018, 9008, 42841, 53121, 5261, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236770, 236812, 236787, 236778, 236800, 59528, 138, 107, 1018, 6717, 53121, 216700, 13827, 138, 107, 1018, 23742, 5587, 3059, 53121, 138, 107, 236772, 23223, 568, 738, 1575, 1473, 6863, 36047, 138, 107, 236772, 8040, 236787, 20692, 124929, 138, 107, 236772, 5853, 236847, 236787, 18584, 236836, 236770, 236778, 236800, 138, 108, 818, 1458, 11387, 16111, 18241, 4535, 573, 822, 16038, 9226, 14680, 236761, 21284, 611, 1133, 786, 531, 2426, 1027, 1032, 1698, 23003, 653, 6137, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 2844, 580, 496, 2028, 2519, 11273, 13696, 684, 506, 15158, 806, 3541, 75926, 236764, 532, 564, 1202, 1601, 35322, 496, 17116, 2258, 3393, 699, 496, 4429, 529, 178264, 7146, 531, 106900, 573, 1041, 2634, 25154, 10884, 236761, 669, 17116, 3393, 563, 997, 236778, 236788, 236812, 236799, 236778, 236825, 753, 740, 611, 7352, 600, 531, 106900, 2979, 834, 564, 740, 6921, 506, 1447, 23791, 529, 3826, 573, 506, 47738, 236881, 564, 236789, 236757, 1699, 496, 55045, 236772, 27612, 2634, 25154, 600, 1186, 4716, 106900, 9103, 236764, 532, 564, 1461, 531, 974, 506, 2258, 1164, 1447, 573, 506, 14361, 47621, 67824, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 79612, 1083, 236743, 236770, 236771, 236832, 236764, 623, 155764, 1083, 236743, 236812, 236819, 236761, 236800, 236764, 623, 2394, 1083, 236743, 236778, 236819, 236761, 236812, 236783, 106, 107, 105, 4368, 107, 818, 17116, 2258, 3393, 997, 236778, 236788, 236812, 236799, 236778, 236825, 47874, 531, 506, 2269, 106900, 2979, 236787, 138, 107, 1018, 141689, 53121, 236743, 236770, 236771, 236832, 237366, 138, 107, 1018, 218463, 53121, 236743, 236812, 236819, 236761, 236800, 236908, 138, 107, 1018, 3135, 53121, 236743, 236778, 236819, 236761, 236812, 236908, 138, 108, 2094, 1374, 2583, 611, 496, 8326, 236764, 93240, 3826, 9273, 573, 147801, 506, 47738, 529, 178264, 7146, 528, 822, 2028, 2519, 11273, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 653, 46119, 236888, 236743, 245838, 252798, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 2844, 580, 496, 2028, 2519, 11273, 13696, 684, 506, 15158, 806, 3541, 75926, 236764, 532, 564, 1202, 1601, 35322, 496, 17116, 2258, 3393, 699, 496, 4429, 529, 178264, 7146, 531, 106900, 573, 1041, 2634, 25154, 10884, 236761, 669, 17116, 3393, 563, 997, 236778, 236788, 236812, 236799, 236778, 236825, 753, 740, 611, 7352, 600, 531, 106900, 2979, 834, 564, 740, 6921, 506, 1447, 23791, 529, 3826, 573, 506, 47738, 236881, 564, 236789, 236757, 1699, 496, 55045, 236772, 27612, 2634, 25154, 600, 1186, 4716, 106900, 9103, 236764, 532, 564, 1461, 531, 974, 506, 2258, 1164, 1447, 573, 506, 14361, 47621, 67824, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 79612, 1083, 236743, 236770, 236771, 236832, 236764, 623, 155764, 1083, 236743, 236812, 236819, 236761, 236800, 236764, 623, 2394, 1083, 236743, 236778, 236819, 236761, 236812, 236783, 106, 107, 105, 4368, 107, 818, 17116, 2258, 3393, 997, 236778, 236788, 236812, 236799, 236778, 236825, 47874, 531, 506, 2269, 106900, 2979, 236787, 138, 107, 1018, 141689, 53121, 236743, 236770, 236771, 236832, 237366, 138, 107, 1018, 218463, 53121, 236743, 236812, 236819, 236761, 236800, 236908, 138, 107, 1018, 3135, 53121, 236743, 236778, 236819, 236761, 236812, 236908, 138, 108, 2094, 1374, 2583, 611, 496, 8326, 236764, 93240, 3826, 9273, 573, 147801, 506, 47738, 529, 178264, 7146, 528, 822, 2028, 2519, 11273, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 653, 46119, 236888, 236743, 245838, 252798, 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, 3517, 506, 21444, 17936, 528, 7591, 532, 506, 194673, 7905, 528, 9405, 236764, 1800, 528, 236743, 236778, 236771, 236778, 236812, 236761, 2282, 5571, 28847, 607, 2263, 20720, 236764, 564, 1202, 531, 2426, 1237, 20720, 573, 1800, 4808, 236761, 5315, 236764, 33205, 506, 6322, 236789, 236751, 236743, 236778, 236771, 236778, 236812, 1237, 20720, 236764, 1299, 1161, 9405, 236789, 236751, 236743, 236778, 236771, 236778, 236812, 20720, 1262, 531, 10769, 14069, 236761, 3792, 236858, 236751, 1502, 607, 506, 6322, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236819, 827, 623, 1201, 1083, 623, 11947, 7672, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 99438, 8492, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236825, 827, 623, 1201, 1083, 623, 39403, 3353, 5970, 36475, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 827, 623, 1201, 1083, 623, 13743, 5970, 36475, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236778, 236825, 827, 623, 1201, 1083, 623, 35734, 5970, 36475, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236778, 236810, 827, 623, 1201, 1083, 623, 35966, 6156, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236778, 236825, 827, 623, 1201, 1083, 623, 224093, 6156, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236825, 827, 623, 1201, 1083, 623, 29984, 24818, 1309, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 91873, 1083, 11058, 236799, 17544, 236772, 236824, 236785, 236756, 236771, 236771, 236760, 8162, 116817, 827, 623, 236799, 737, 7297, 827, 623, 193601, 3390, 236772, 2267, 28468, 152254, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236819, 827, 623, 1201, 1083, 623, 11947, 7672, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 99438, 8492, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 63651, 6156, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236819, 827, 623, 1201, 1083, 623, 78824, 3102, 6156, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 827, 623, 1201, 1083, 623, 80519, 8492, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236800, 827, 623, 1201, 1083, 623, 51423, 26095, 6156, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 25938, 1604, 623, 21052, 1083, 3714, 14801, 1083, 623, 34692, 568, 4070, 22730, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236812, 236764, 623, 7212, 236779, 2084, 1083, 623, 2153, 236779, 100328, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 1237, 20720, 528, 506, 6322, 568, 8242, 236768, 532, 9405, 568, 4070, 236768, 573, 236743, 236778, 236771, 236778, 236812, 531, 1601, 2731, 822, 7946, 236787, 108, 1018, 4330, 188536, 84085, 53121, 107, 236772, 5213, 27393, 236743, 236778, 236819, 236764, 236743, 236778, 236771, 236778, 236812, 66515, 7886, 7672, 568, 27413, 4808, 236768, 107, 236772, 5213, 30651, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 66515, 26642, 8492, 568, 27413, 4808, 236768, 108, 1018, 17827, 236772, 46163, 84085, 568, 54670, 768, 16270, 21444, 17936, 1473, 1018, 107, 236772, 4179, 236743, 236770, 568, 4199, 8799, 236789, 236751, 6156, 236768, 107, 236772, 3353, 236743, 236825, 568, 39403, 3353, 5970, 36475, 236768, 107, 236772, 3353, 236743, 236778, 236832, 568, 13743, 5970, 36475, 236768, 107, 236772, 4655, 236743, 236778, 236825, 568, 35734, 5970, 36475, 236768, 107, 236772, 3901, 236743, 236778, 236810, 236772, 236778, 236825, 568, 35966, 900, 88377, 6156, 236768, 108, 1018, 34692, 236772, 46163, 84085, 568, 54670, 768, 16270, 194673, 7905, 1473, 1018, 107, 236772, 4179, 236743, 236770, 568, 4199, 8799, 236789, 236751, 6156, 236768, 107, 236772, 3353, 236743, 236770, 568, 63651, 6156, 236768, 107, 236772, 3353, 236743, 236819, 568, 78824, 3102, 6156, 236768, 107, 236772, 3353, 236743, 236778, 236771, 568, 80519, 8492, 236768, 107, 236772, 4905, 236743, 236800, 568, 51423, 26095, 6156, 236768, 108, 1018, 26253, 53121, 107, 236770, 236761, 12992, 24818, 1309, 568, 18125, 236743, 236825, 236768, 528, 9405, 1186, 16819, 531, 81021, 236772, 171252, 236764, 119945, 236764, 532, 145381, 236772, 2267, 28468, 568, 2217, 7798, 573, 194673, 7905, 769, 107, 236778, 236761, 1599, 740, 21236, 10368, 4301, 580, 236787, 107, 139, 236772, 6322, 236772, 8960, 20720, 568, 236744, 236761, 236759, 1126, 3353, 236743, 236825, 236764, 3353, 236743, 236778, 236832, 236764, 4655, 236743, 236778, 236825, 236768, 107, 139, 236772, 9405, 236772, 8960, 20720, 568, 236744, 236761, 236759, 1126, 3353, 236743, 236770, 236764, 3353, 236743, 236819, 236764, 4905, 236743, 236800, 236768, 107, 139, 236772, 40735, 48490, 14069, 568, 27393, 236743, 236778, 236819, 753, 5365, 236743, 236770, 236768, 108, 38786, 611, 1133, 1601, 7107, 496, 4301, 76717, 31983, 1239, 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 ]
[ 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, 3517, 506, 21444, 17936, 528, 7591, 532, 506, 194673, 7905, 528, 9405, 236764, 1800, 528, 236743, 236778, 236771, 236778, 236812, 236761, 2282, 5571, 28847, 607, 2263, 20720, 236764, 564, 1202, 531, 2426, 1237, 20720, 573, 1800, 4808, 236761, 5315, 236764, 33205, 506, 6322, 236789, 236751, 236743, 236778, 236771, 236778, 236812, 1237, 20720, 236764, 1299, 1161, 9405, 236789, 236751, 236743, 236778, 236771, 236778, 236812, 20720, 1262, 531, 10769, 14069, 236761, 3792, 236858, 236751, 1502, 607, 506, 6322, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236819, 827, 623, 1201, 1083, 623, 11947, 7672, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 99438, 8492, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236825, 827, 623, 1201, 1083, 623, 39403, 3353, 5970, 36475, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236832, 827, 623, 1201, 1083, 623, 13743, 5970, 36475, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236828, 236772, 236778, 236825, 827, 623, 1201, 1083, 623, 35734, 5970, 36475, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236778, 236810, 827, 623, 1201, 1083, 623, 35966, 6156, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236778, 236772, 236778, 236825, 827, 623, 1201, 1083, 623, 224093, 6156, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 14801, 1083, 623, 8242, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5805, 17109, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 4199, 8799, 236789, 236751, 6156, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236825, 827, 623, 1201, 1083, 623, 29984, 24818, 1309, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 827, 623, 91873, 1083, 11058, 236799, 17544, 236772, 236824, 236785, 236756, 236771, 236771, 236760, 8162, 116817, 827, 623, 236799, 737, 7297, 827, 623, 193601, 3390, 236772, 2267, 28468, 152254, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236819, 827, 623, 1201, 1083, 623, 11947, 7672, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 99438, 8492, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236770, 827, 623, 1201, 1083, 623, 63651, 6156, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236771, 236819, 827, 623, 1201, 1083, 623, 78824, 3102, 6156, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236771, 827, 623, 1201, 1083, 623, 80519, 8492, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236771, 236800, 827, 623, 1201, 1083, 623, 51423, 26095, 6156, 827, 623, 2084, 1083, 623, 2153, 236779, 100328, 25938, 1604, 623, 21052, 1083, 3714, 14801, 1083, 623, 34692, 568, 4070, 22730, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236812, 236764, 623, 7212, 236779, 2084, 1083, 623, 2153, 236779, 100328, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 1237, 20720, 528, 506, 6322, 568, 8242, 236768, 532, 9405, 568, 4070, 236768, 573, 236743, 236778, 236771, 236778, 236812, 531, 1601, 2731, 822, 7946, 236787, 108, 1018, 4330, 188536, 84085, 53121, 107, 236772, 5213, 27393, 236743, 236778, 236819, 236764, 236743, 236778, 236771, 236778, 236812, 66515, 7886, 7672, 568, 27413, 4808, 236768, 107, 236772, 5213, 30651, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 66515, 26642, 8492, 568, 27413, 4808, 236768, 108, 1018, 17827, 236772, 46163, 84085, 568, 54670, 768, 16270, 21444, 17936, 1473, 1018, 107, 236772, 4179, 236743, 236770, 568, 4199, 8799, 236789, 236751, 6156, 236768, 107, 236772, 3353, 236743, 236825, 568, 39403, 3353, 5970, 36475, 236768, 107, 236772, 3353, 236743, 236778, 236832, 568, 13743, 5970, 36475, 236768, 107, 236772, 4655, 236743, 236778, 236825, 568, 35734, 5970, 36475, 236768, 107, 236772, 3901, 236743, 236778, 236810, 236772, 236778, 236825, 568, 35966, 900, 88377, 6156, 236768, 108, 1018, 34692, 236772, 46163, 84085, 568, 54670, 768, 16270, 194673, 7905, 1473, 1018, 107, 236772, 4179, 236743, 236770, 568, 4199, 8799, 236789, 236751, 6156, 236768, 107, 236772, 3353, 236743, 236770, 568, 63651, 6156, 236768, 107, 236772, 3353, 236743, 236819, 568, 78824, 3102, 6156, 236768, 107, 236772, 3353, 236743, 236778, 236771, 568, 80519, 8492, 236768, 107, 236772, 4905, 236743, 236800, 568, 51423, 26095, 6156, 236768, 108, 1018, 26253, 53121, 107, 236770, 236761, 12992, 24818, 1309, 568, 18125, 236743, 236825, 236768, 528, 9405, 1186, 16819, 531, 81021, 236772, 171252, 236764, 119945, 236764, 532, 145381, 236772, 2267, 28468, 568, 2217, 7798, 573, 194673, 7905, 769, 107, 236778, 236761, 1599, 740, 21236, 10368, 4301, 580, 236787, 107, 139, 236772, 6322, 236772, 8960, 20720, 568, 236744, 236761, 236759, 1126, 3353, 236743, 236825, 236764, 3353, 236743, 236778, 236832, 236764, 4655, 236743, 236778, 236825, 236768, 107, 139, 236772, 9405, 236772, 8960, 20720, 568, 236744, 236761, 236759, 1126, 3353, 236743, 236770, 236764, 3353, 236743, 236819, 236764, 4905, 236743, 236800, 236768, 107, 139, 236772, 40735, 48490, 14069, 568, 27393, 236743, 236778, 236819, 753, 5365, 236743, 236770, 236768, 108, 38786, 611, 1133, 1601, 7107, 496, 4301, 76717, 31983, 1239, 14069, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 5608, 1041, 3489, 7630, 532, 751, 1192, 6317, 531, 4006, 1041, 3577, 5500, 618, 614, 71086, 69873, 236786, 5920, 16406, 236761, 5315, 236764, 2426, 1041, 751, 1192, 6317, 1699, 1041, 4553, 236787, 614, 4538, 2274, 507, 86381, 236770, 236819, 236940, 18112, 236761, 854, 236761, 1637, 600, 20269, 236764, 1161, 1041, 2777, 4009, 19171, 568, 34207, 236787, 1392, 79688, 220849, 29894, 236764, 10365, 236787, 1392, 18070, 3390, 236779, 137363, 236768, 531, 18840, 1041, 7630, 19455, 236761, 18186, 580, 506, 2536, 236764, 5840, 3530, 6555, 531, 12277, 1041, 6317, 532, 6778, 1041, 9578, 3707, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236767, 1192, 236779, 8318, 1083, 236743, 236832, 236828, 236764, 623, 7284, 3843, 1083, 3714, 1848, 35354, 1083, 236743, 236800, 236771, 236764, 623, 15630, 561, 1230, 1083, 236743, 236778, 236810, 236764, 623, 37939, 1083, 236743, 236778, 236800, 1263, 623, 2364, 236779, 36809, 1083, 3714, 13701, 236779, 12172, 1083, 623, 79688, 220849, 29894, 827, 623, 74928, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 76647, 1083, 236743, 236778, 236810, 236771, 236771, 236764, 623, 87622, 1083, 1847, 1263, 623, 85038, 847, 1083, 11058, 84869, 3399, 15154, 684, 22765, 528, 69873, 1702, 9526, 70842, 827, 623, 68171, 236743, 236778, 236772, 236800, 919, 15771, 1624, 5254, 531, 15128, 1702, 1657, 827, 623, 3932, 153492, 699, 3956, 14477, 573, 3530, 6130, 827, 623, 27447, 532, 12740, 607, 1903, 69873, 77952, 531, 6778, 3707, 27820, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 751, 1192, 6317, 3671, 532, 83979, 15136, 618, 496, 69873, 236786, 5920, 16406, 236787, 108, 1018, 236855, 1192, 27242, 166977, 568, 236832, 236828, 236786, 236770, 236771, 236771, 1473, 1018, 107, 236772, 5213, 169402, 53121, 236743, 236800, 236771, 236786, 236812, 236771, 568, 51757, 15771, 6219, 607, 27662, 2881, 236768, 107, 236772, 5213, 7315, 29953, 1230, 53121, 236743, 236778, 236810, 236786, 236800, 236771, 568, 58632, 12889, 18256, 699, 30055, 236768, 107, 236772, 5213, 46640, 53121, 236743, 236778, 236800, 236786, 236800, 236771, 568, 14009, 840, 2978, 531, 2171, 528, 15154, 236768, 108, 1018, 40308, 159517, 53121, 107, 240721, 128731, 9526, 6219, 607, 236743, 236778, 236761, 236810, 236767, 23073, 107, 240721, 102323, 1702, 15771, 568, 5140, 580, 13728, 236768, 107, 240721, 81286, 5707, 3707, 153492, 108, 1018, 201430, 53121, 107, 236770, 236761, 5213, 31333, 7803, 9526, 207938, 1018, 138, 107, 139, 22163, 997, 31333, 20535, 1418, 9863, 532, 997, 17399, 51836, 616, 531, 4024, 19317, 532, 3707, 607, 3956, 5670, 236761, 108, 236778, 236761, 5213, 73094, 62840, 1018, 138, 107, 139, 6924, 236743, 236778, 236772, 236800, 1624, 5254, 1699, 506, 623, 21009, 236772, 15607, 236772, 4116, 236775, 10318, 236764, 19541, 580, 36453, 15955, 653, 14549, 12969, 236761, 108, 236800, 236761, 5213, 10206, 524, 8006, 29953, 1230, 1018, 138, 107, 139, 3932, 153492, 573, 3530, 6130, 1133, 623, 236811, 3416, 1255, 24769, 1775, 522, 236775, 653, 623, 2887, 6498, 236775, 699, 7391, 236786, 1475, 519, 13975, 580, 38737, 568, 7650, 740, 577, 12809, 531, 822, 751, 1192, 8781, 769, 108, 236812, 236761, 5213, 194450, 17543, 63010, 1018, 138, 107, 139, 27447, 532, 15474, 607, 1903, 69873, 77952, 1133, 1392, 69341, 1020, 1209, 568, 5920, 236788, 779, 1392, 13200, 236786, 236759, 568, 59184, 982, 71626, 779, 532, 1392, 236776, 516, 1863, 568, 216850, 573, 135083, 769, 108, 236810, 236761, 5213, 21048, 236772, 15376, 63326, 1018, 138, 107, 139, 26247, 822, 9526, 15771, 580, 622, 1073, 73735, 236786, 3912, 236754, 831, 5699, 532, 14638, 42759, 531, 2016, 74647, 2777, 7724, 236761, 108, 236825, 236761, 5213, 4795, 34428, 1018, 138, 107, 139, 7118, 16789, 1702, 11221, 1699, 9526, 63034, 653, 38737, 10308, 236764, 19541, 580, 36989, 4106, 1133, 4719, 236772, 81083, 653, 4996, 5354, 1702, 9935, 236761, 108, 1018, 9272, 50228, 53121, 138, 107, 38786, 611, 1133, 786, 531, 18840, 822, 9526, 4588, 19455, 528, 8052, 1699, 108642, 236779, 13692, 531, 8701, 3530, 15154, 9935, 236881, 1174, 1451, 16913, 12567, 25035, 2782, 532, 3004, 4458, 573, 822, 9998, 236761, 106, 107, 105, 2364, 107, 142480, 607, 32187, 1041, 9526, 4588, 19455, 1699, 2165, 236767, 1192, 236779, 13692, 236929, 531, 8701, 15154, 9935, 532, 12567, 25035, 11298, 236761, 1637, 506, 9526, 3671, 20269, 236764, 5686, 506, 1638, 607, 1041, 10365, 6060, 1392, 18070, 3390, 236779, 137363, 236761, 44906, 1800, 14175, 236789, 19455, 531, 2847, 4071, 236772, 19099, 3877, 11298, 573, 1041, 1702, 15771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6265, 1083, 623, 13701, 827, 623, 11668, 1083, 623, 79688, 220849, 29894, 827, 623, 83852, 236779, 8318, 1083, 236743, 236832, 236778, 236764, 623, 725, 26358, 236779, 29263, 1083, 3714, 76647, 1083, 236743, 236770, 236778, 236828, 236771, 236764, 623, 92506, 236779, 4720, 1083, 623, 236778, 236761, 236828, 70887, 623, 43852, 236779, 13692, 1083, 3714, 83027, 1083, 236743, 236812, 236810, 236764, 623, 4243, 50973, 1083, 236743, 236770, 236828, 236819, 236764, 623, 56652, 1083, 236743, 236825, 236800, 236778, 5237, 623, 85038, 847, 1083, 11058, 7118, 919, 21931, 3004, 568, 199967, 236764, 4137, 236768, 531, 12277, 15154, 827, 623, 142031, 606, 607, 5453, 236772, 43289, 77952, 528, 69873, 236786, 5920, 1702, 129119, 827, 623, 59070, 21866, 21238, 1699, 26545, 573, 3715, 27820, 827, 623, 6924, 4024, 742, 1702, 5405, 568, 236744, 236761, 236759, 1126, 2196, 9711, 34332, 236768, 531, 3553, 2461, 50973, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 9526, 4588, 3671, 532, 4071, 236772, 19099, 3877, 7545, 15136, 236787, 108, 1018, 34207, 23195, 116589, 568, 9008, 236743, 236810, 236771, 49040, 1473, 1018, 107, 236772, 5213, 124431, 27242, 53121, 236743, 236832, 236778, 568, 51757, 840, 607, 3877, 3435, 236768, 107, 236772, 5213, 227187, 25870, 53121, 236743, 236778, 236761, 236828, 236908, 568, 68941, 4398, 573, 20222, 139700, 236768, 107, 236772, 5213, 5753, 22526, 53121, 236743, 107, 138, 236772, 236743, 236812, 236810, 3303, 46331, 568, 236825, 236828, 236908, 1702, 11221, 236786, 147691, 236764, 236743, 236778, 236778, 236908, 15771, 12085, 236764, 236743, 236770, 236771, 236908, 3399, 15154, 236768, 107, 138, 236772, 236743, 236770, 236828, 236819, 2461, 50973, 568, 93424, 3956, 4668, 236768, 107, 138, 236772, 236743, 236825, 236800, 236778, 15975, 568, 114501, 15154, 580, 21931, 25843, 1003, 36453, 1702, 236768, 108, 1018, 3503, 63010, 76374, 53121, 107, 236770, 236761, 5213, 4795, 59831, 53121, 236743, 107, 139, 236772, 166070, 26804, 1702, 6585, 974, 236743, 236778, 236761, 236810, 236781, 919, 15154, 1082, 2002, 15771, 12714, 107, 139, 236772, 111886, 236786, 31333, 37249, 14050, 1407, 32879, 25828, 107, 139, 236772, 33299, 46331, 568, 236828, 236772, 236770, 236771, 8151, 28524, 236768, 735, 236743, 236812, 236771, 236908, 3715, 27820, 108, 236778, 236761, 5213, 22218, 62503, 53121, 107, 139, 236772, 236743, 236770, 236810, 236908, 529, 2461, 50973, 2229, 699, 5453, 236772, 43289, 69873, 77952, 568, 236744, 236761, 236759, 1126, 1392, 31333, 17399, 22092, 236768, 107, 139, 236772, 60217, 15154, 607, 1903, 236772, 43289, 10789, 568, 236744, 236761, 236759, 1126, 1392, 13200, 236786, 236759, 236768, 108, 1018, 34207, 236772, 46163, 26608, 62382, 53121, 107, 236770, 236761, 5213, 102711, 16748, 12142, 1018, 138, 107, 139, 31794, 496, 16789, 13659, 17399, 8724, 5235, 236775, 8583, 1298, 611, 4024, 1680, 236786, 9900, 9711, 37408, 532, 2679, 23073, 531, 10744, 580, 12373, 5434, 236761, 108, 236778, 236761, 5213, 100651, 62840, 1018, 138, 107, 139, 39656, 46331, 657, 236743, 236828, 236787, 236800, 236771, 8151, 28524, 1699, 47785, 236786, 22290, 1498, 118626, 573, 5783, 5370, 1913, 69873, 14477, 236789, 5597, 48843, 236761, 108, 236800, 236761, 5213, 10730, 53637, 1018, 138, 107, 139, 26925, 496, 2196, 623, 25977, 27737, 7803, 82811, 236775, 16553, 568, 4060, 9526, 236786, 236917, 4822, 24812, 236768, 528, 8770, 573, 4553, 1519, 11303, 236764, 1299, 4024, 78923, 25843, 236761, 108, 236812, 236761, 5213, 221528, 36376, 1018, 138, 107, 139, 137938, 236743, 236800, 236772, 236810, 5453, 236772, 43289, 77952, 699, 822, 158632, 3707, 532, 20017, 1028, 236772, 70794, 496, 69873, 1624, 2748, 3605, 236761, 108, 1018, 21048, 236772, 15376, 34428, 568, 34207, 900, 10365, 1473, 1018, 138, 107, 236829, 10282, 236787, 10365, 19455, 1660, 1607, 6436, 236764, 840, 1590, 659, 14810, 12668, 573, 24316, 149681, 108, 236770, 236761, 5213, 4795, 205224, 1018, 138, 107, 139, 236772, 24439, 9526, 25843, 1131, 10365, 1295, 806, 1416, 568, 236770, 15017, 810, 13307, 236768, 607, 623, 34230, 580, 9526, 236775, 3205, 528, 44358, 107, 139, 236772, 19148, 10365, 33403, 20756, 531, 9526, 607, 8300, 1749, 46119, 108, 236778, 236761, 5213, 40282, 1812, 8236, 1018, 138, 107, 139, 236772, 9793, 10616, 623, 17399, 12364, 236775, 3605, 236787, 236743, 107, 141, 236772, 9526, 236787, 5590, 236772, 5140, 2918, 236772, 2003, 236772, 9340, 607, 39840, 107, 141, 236772, 10365, 236787, 162600, 10103, 607, 9813, 44358, 46119, 108, 236800, 236761, 5213, 21048, 236772, 180618, 1018, 138, 107, 139, 236772, 4140, 10365, 3205, 528, 9526, 12780, 568, 1930, 10297, 10750, 573, 5065, 15771, 9851, 236768, 107, 139, 236772, 19148, 9526, 15154, 19455, 618, 10365, 33403, 6791, 7711, 3399, 9312, 672, 18522, 26577, 108, 236812, 236761, 5213, 88634, 28566, 1018, 138, 107, 139, 236772, 9526, 236787, 6890, 9526, 35438, 900, 22177, 497, 41979, 236767, 573, 46144, 19317, 107, 139, 236772, 10365, 236787, 41276, 21651, 585, 8220, 653, 10001, 1498, 118626, 35438, 573, 15154, 3759, 16074, 108, 1018, 9272, 50228, 53121, 138, 107, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 6521, 496, 5498, 3004, 14626, 26614, 1239, 11298, 236881, 138, 107, 236778, 236761, 39525, 3530, 23693, 573, 506, 21931, 3004, 27857, 236881, 138, 107, 236800, 236761, 49644, 3328, 77952, 573, 13859, 2721, 580, 822, 36989, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 607, 22743, 1239, 3877, 35959, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 5608, 1041, 3489, 7630, 532, 751, 1192, 6317, 531, 4006, 1041, 3577, 5500, 618, 614, 71086, 69873, 236786, 5920, 16406, 236761, 5315, 236764, 2426, 1041, 751, 1192, 6317, 1699, 1041, 4553, 236787, 614, 4538, 2274, 507, 86381, 236770, 236819, 236940, 18112, 236761, 854, 236761, 1637, 600, 20269, 236764, 1161, 1041, 2777, 4009, 19171, 568, 34207, 236787, 1392, 79688, 220849, 29894, 236764, 10365, 236787, 1392, 18070, 3390, 236779, 137363, 236768, 531, 18840, 1041, 7630, 19455, 236761, 18186, 580, 506, 2536, 236764, 5840, 3530, 6555, 531, 12277, 1041, 6317, 532, 6778, 1041, 9578, 3707, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236767, 1192, 236779, 8318, 1083, 236743, 236832, 236828, 236764, 623, 7284, 3843, 1083, 3714, 1848, 35354, 1083, 236743, 236800, 236771, 236764, 623, 15630, 561, 1230, 1083, 236743, 236778, 236810, 236764, 623, 37939, 1083, 236743, 236778, 236800, 1263, 623, 2364, 236779, 36809, 1083, 3714, 13701, 236779, 12172, 1083, 623, 79688, 220849, 29894, 827, 623, 74928, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 76647, 1083, 236743, 236778, 236810, 236771, 236771, 236764, 623, 87622, 1083, 1847, 1263, 623, 85038, 847, 1083, 11058, 84869, 3399, 15154, 684, 22765, 528, 69873, 1702, 9526, 70842, 827, 623, 68171, 236743, 236778, 236772, 236800, 919, 15771, 1624, 5254, 531, 15128, 1702, 1657, 827, 623, 3932, 153492, 699, 3956, 14477, 573, 3530, 6130, 827, 623, 27447, 532, 12740, 607, 1903, 69873, 77952, 531, 6778, 3707, 27820, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 751, 1192, 6317, 3671, 532, 83979, 15136, 618, 496, 69873, 236786, 5920, 16406, 236787, 108, 1018, 236855, 1192, 27242, 166977, 568, 236832, 236828, 236786, 236770, 236771, 236771, 1473, 1018, 107, 236772, 5213, 169402, 53121, 236743, 236800, 236771, 236786, 236812, 236771, 568, 51757, 15771, 6219, 607, 27662, 2881, 236768, 107, 236772, 5213, 7315, 29953, 1230, 53121, 236743, 236778, 236810, 236786, 236800, 236771, 568, 58632, 12889, 18256, 699, 30055, 236768, 107, 236772, 5213, 46640, 53121, 236743, 236778, 236800, 236786, 236800, 236771, 568, 14009, 840, 2978, 531, 2171, 528, 15154, 236768, 108, 1018, 40308, 159517, 53121, 107, 240721, 128731, 9526, 6219, 607, 236743, 236778, 236761, 236810, 236767, 23073, 107, 240721, 102323, 1702, 15771, 568, 5140, 580, 13728, 236768, 107, 240721, 81286, 5707, 3707, 153492, 108, 1018, 201430, 53121, 107, 236770, 236761, 5213, 31333, 7803, 9526, 207938, 1018, 138, 107, 139, 22163, 997, 31333, 20535, 1418, 9863, 532, 997, 17399, 51836, 616, 531, 4024, 19317, 532, 3707, 607, 3956, 5670, 236761, 108, 236778, 236761, 5213, 73094, 62840, 1018, 138, 107, 139, 6924, 236743, 236778, 236772, 236800, 1624, 5254, 1699, 506, 623, 21009, 236772, 15607, 236772, 4116, 236775, 10318, 236764, 19541, 580, 36453, 15955, 653, 14549, 12969, 236761, 108, 236800, 236761, 5213, 10206, 524, 8006, 29953, 1230, 1018, 138, 107, 139, 3932, 153492, 573, 3530, 6130, 1133, 623, 236811, 3416, 1255, 24769, 1775, 522, 236775, 653, 623, 2887, 6498, 236775, 699, 7391, 236786, 1475, 519, 13975, 580, 38737, 568, 7650, 740, 577, 12809, 531, 822, 751, 1192, 8781, 769, 108, 236812, 236761, 5213, 194450, 17543, 63010, 1018, 138, 107, 139, 27447, 532, 15474, 607, 1903, 69873, 77952, 1133, 1392, 69341, 1020, 1209, 568, 5920, 236788, 779, 1392, 13200, 236786, 236759, 568, 59184, 982, 71626, 779, 532, 1392, 236776, 516, 1863, 568, 216850, 573, 135083, 769, 108, 236810, 236761, 5213, 21048, 236772, 15376, 63326, 1018, 138, 107, 139, 26247, 822, 9526, 15771, 580, 622, 1073, 73735, 236786, 3912, 236754, 831, 5699, 532, 14638, 42759, 531, 2016, 74647, 2777, 7724, 236761, 108, 236825, 236761, 5213, 4795, 34428, 1018, 138, 107, 139, 7118, 16789, 1702, 11221, 1699, 9526, 63034, 653, 38737, 10308, 236764, 19541, 580, 36989, 4106, 1133, 4719, 236772, 81083, 653, 4996, 5354, 1702, 9935, 236761, 108, 1018, 9272, 50228, 53121, 138, 107, 38786, 611, 1133, 786, 531, 18840, 822, 9526, 4588, 19455, 528, 8052, 1699, 108642, 236779, 13692, 531, 8701, 3530, 15154, 9935, 236881, 1174, 1451, 16913, 12567, 25035, 2782, 532, 3004, 4458, 573, 822, 9998, 236761, 106, 107, 105, 2364, 107, 142480, 607, 32187, 1041, 9526, 4588, 19455, 1699, 2165, 236767, 1192, 236779, 13692, 236929, 531, 8701, 15154, 9935, 532, 12567, 25035, 11298, 236761, 1637, 506, 9526, 3671, 20269, 236764, 5686, 506, 1638, 607, 1041, 10365, 6060, 1392, 18070, 3390, 236779, 137363, 236761, 44906, 1800, 14175, 236789, 19455, 531, 2847, 4071, 236772, 19099, 3877, 11298, 573, 1041, 1702, 15771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6265, 1083, 623, 13701, 827, 623, 11668, 1083, 623, 79688, 220849, 29894, 827, 623, 83852, 236779, 8318, 1083, 236743, 236832, 236778, 236764, 623, 725, 26358, 236779, 29263, 1083, 3714, 76647, 1083, 236743, 236770, 236778, 236828, 236771, 236764, 623, 92506, 236779, 4720, 1083, 623, 236778, 236761, 236828, 70887, 623, 43852, 236779, 13692, 1083, 3714, 83027, 1083, 236743, 236812, 236810, 236764, 623, 4243, 50973, 1083, 236743, 236770, 236828, 236819, 236764, 623, 56652, 1083, 236743, 236825, 236800, 236778, 5237, 623, 85038, 847, 1083, 11058, 7118, 919, 21931, 3004, 568, 199967, 236764, 4137, 236768, 531, 12277, 15154, 827, 623, 142031, 606, 607, 5453, 236772, 43289, 77952, 528, 69873, 236786, 5920, 1702, 129119, 827, 623, 59070, 21866, 21238, 1699, 26545, 573, 3715, 27820, 827, 623, 6924, 4024, 742, 1702, 5405, 568, 236744, 236761, 236759, 1126, 2196, 9711, 34332, 236768, 531, 3553, 2461, 50973, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 9526, 4588, 3671, 532, 4071, 236772, 19099, 3877, 7545, 15136, 236787, 108, 1018, 34207, 23195, 116589, 568, 9008, 236743, 236810, 236771, 49040, 1473, 1018, 107, 236772, 5213, 124431, 27242, 53121, 236743, 236832, 236778, 568, 51757, 840, 607, 3877, 3435, 236768, 107, 236772, 5213, 227187, 25870, 53121, 236743, 236778, 236761, 236828, 236908, 568, 68941, 4398, 573, 20222, 139700, 236768, 107, 236772, 5213, 5753, 22526, 53121, 236743, 107, 138, 236772, 236743, 236812, 236810, 3303, 46331, 568, 236825, 236828, 236908, 1702, 11221, 236786, 147691, 236764, 236743, 236778, 236778, 236908, 15771, 12085, 236764, 236743, 236770, 236771, 236908, 3399, 15154, 236768, 107, 138, 236772, 236743, 236770, 236828, 236819, 2461, 50973, 568, 93424, 3956, 4668, 236768, 107, 138, 236772, 236743, 236825, 236800, 236778, 15975, 568, 114501, 15154, 580, 21931, 25843, 1003, 36453, 1702, 236768, 108, 1018, 3503, 63010, 76374, 53121, 107, 236770, 236761, 5213, 4795, 59831, 53121, 236743, 107, 139, 236772, 166070, 26804, 1702, 6585, 974, 236743, 236778, 236761, 236810, 236781, 919, 15154, 1082, 2002, 15771, 12714, 107, 139, 236772, 111886, 236786, 31333, 37249, 14050, 1407, 32879, 25828, 107, 139, 236772, 33299, 46331, 568, 236828, 236772, 236770, 236771, 8151, 28524, 236768, 735, 236743, 236812, 236771, 236908, 3715, 27820, 108, 236778, 236761, 5213, 22218, 62503, 53121, 107, 139, 236772, 236743, 236770, 236810, 236908, 529, 2461, 50973, 2229, 699, 5453, 236772, 43289, 69873, 77952, 568, 236744, 236761, 236759, 1126, 1392, 31333, 17399, 22092, 236768, 107, 139, 236772, 60217, 15154, 607, 1903, 236772, 43289, 10789, 568, 236744, 236761, 236759, 1126, 1392, 13200, 236786, 236759, 236768, 108, 1018, 34207, 236772, 46163, 26608, 62382, 53121, 107, 236770, 236761, 5213, 102711, 16748, 12142, 1018, 138, 107, 139, 31794, 496, 16789, 13659, 17399, 8724, 5235, 236775, 8583, 1298, 611, 4024, 1680, 236786, 9900, 9711, 37408, 532, 2679, 23073, 531, 10744, 580, 12373, 5434, 236761, 108, 236778, 236761, 5213, 100651, 62840, 1018, 138, 107, 139, 39656, 46331, 657, 236743, 236828, 236787, 236800, 236771, 8151, 28524, 1699, 47785, 236786, 22290, 1498, 118626, 573, 5783, 5370, 1913, 69873, 14477, 236789, 5597, 48843, 236761, 108, 236800, 236761, 5213, 10730, 53637, 1018, 138, 107, 139, 26925, 496, 2196, 623, 25977, 27737, 7803, 82811, 236775, 16553, 568, 4060, 9526, 236786, 236917, 4822, 24812, 236768, 528, 8770, 573, 4553, 1519, 11303, 236764, 1299, 4024, 78923, 25843, 236761, 108, 236812, 236761, 5213, 221528, 36376, 1018, 138, 107, 139, 137938, 236743, 236800, 236772, 236810, 5453, 236772, 43289, 77952, 699, 822, 158632, 3707, 532, 20017, 1028, 236772, 70794, 496, 69873, 1624, 2748, 3605, 236761, 108, 1018, 21048, 236772, 15376, 34428, 568, 34207, 900, 10365, 1473, 1018, 138, 107, 236829, 10282, 236787, 10365, 19455, 1660, 1607, 6436, 236764, 840, 1590, 659, 14810, 12668, 573, 24316, 149681, 108, 236770, 236761, 5213, 4795, 205224, 1018, 138, 107, 139, 236772, 24439, 9526, 25843, 1131, 10365, 1295, 806, 1416, 568, 236770, 15017, 810, 13307, 236768, 607, 623, 34230, 580, 9526, 236775, 3205, 528, 44358, 107, 139, 236772, 19148, 10365, 33403, 20756, 531, 9526, 607, 8300, 1749, 46119, 108, 236778, 236761, 5213, 40282, 1812, 8236, 1018, 138, 107, 139, 236772, 9793, 10616, 623, 17399, 12364, 236775, 3605, 236787, 236743, 107, 141, 236772, 9526, 236787, 5590, 236772, 5140, 2918, 236772, 2003, 236772, 9340, 607, 39840, 107, 141, 236772, 10365, 236787, 162600, 10103, 607, 9813, 44358, 46119, 108, 236800, 236761, 5213, 21048, 236772, 180618, 1018, 138, 107, 139, 236772, 4140, 10365, 3205, 528, 9526, 12780, 568, 1930, 10297, 10750, 573, 5065, 15771, 9851, 236768, 107, 139, 236772, 19148, 9526, 15154, 19455, 618, 10365, 33403, 6791, 7711, 3399, 9312, 672, 18522, 26577, 108, 236812, 236761, 5213, 88634, 28566, 1018, 138, 107, 139, 236772, 9526, 236787, 6890, 9526, 35438, 900, 22177, 497, 41979, 236767, 573, 46144, 19317, 107, 139, 236772, 10365, 236787, 41276, 21651, 585, 8220, 653, 10001, 1498, 118626, 35438, 573, 15154, 3759, 16074, 108, 1018, 9272, 50228, 53121, 138, 107, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 6521, 496, 5498, 3004, 14626, 26614, 1239, 11298, 236881, 138, 107, 236778, 236761, 39525, 3530, 23693, 573, 506, 21931, 3004, 27857, 236881, 138, 107, 236800, 236761, 49644, 3328, 77952, 573, 13859, 2721, 580, 822, 36989, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 607, 22743, 1239, 3877, 35959, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 32826, 496, 35818, 1960, 600, 130450, 22726, 236764, 1610, 11682, 236764, 532, 9226, 50353, 9871, 236761, 28344, 611, 8729, 496, 4709, 236764, 176690, 1960, 1463, 600, 22136, 672, 22064, 236881, 17608, 625, 63510, 840, 164840, 529, 1800, 21123, 532, 24597, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 151992, 197859, 79535, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 10340, 1960, 1463, 600, 59156, 822, 22888, 529, 35818, 236764, 22726, 236764, 1610, 11682, 236764, 532, 9226, 50353, 9871, 236787, 108, 1018, 236775, 151992, 197859, 79535, 236775, 1018, 108, 2094, 1463, 131680, 236787, 107, 236772, 5213, 191580, 1018, 1343, 623, 151992, 236775, 568, 17873, 236786, 224822, 236768, 532, 623, 236814, 40717, 236775, 568, 236749, 5337, 1415, 2065, 236768, 107, 236772, 5213, 22908, 1952, 1018, 4323, 623, 206958, 236775, 568, 12886, 99791, 236786, 661, 236768, 532, 506, 41945, 529, 7659, 50353, 28968, 107, 236772, 5213, 111534, 5603, 1018, 1343, 506, 14956, 104164, 529, 496, 109041, 618, 496, 22658, 1977, 108, 38786, 611, 1133, 15936, 600, 37837, 1027, 3530, 6084, 568, 236744, 236761, 236759, 1126, 919, 9737, 3755, 573, 22726, 236764, 653, 15281, 50353, 16441, 20625, 106, 107, 105, 2364, 107, 236775, 151992, 197859, 79535, 236775, 119636, 607, 506, 41945, 564, 1461, 236764, 840, 564, 236789, 236753, 1133, 919, 3835, 600, 25224, 20038, 1131, 506, 22726, 236786, 661, 11682, 19549, 236761, 28344, 611, 8729, 15936, 1699, 23548, 529, 4171, 1133, 623, 9175, 2209, 514, 2098, 623, 111994, 236792, 643, 2098, 653, 623, 98829, 31458, 51653, 6542, 236764, 1966, 20532, 236764, 27323, 1099, 5618, 600, 56856, 506, 9737, 236772, 50694, 16625, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19631, 236779, 1201, 1083, 623, 9175, 236792, 643, 827, 623, 4818, 1083, 623, 10934, 827, 623, 3278, 236779, 3456, 1083, 623, 9175, 2209, 514, 827, 623, 7777, 1083, 623, 46603, 1463, 26614, 756, 9175, 236789, 699, 4585, 2209, 514, 532, 756, 236792, 643, 236789, 531, 37837, 26648, 21123, 236764, 32427, 9737, 236772, 50694, 111476, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 111994, 236792, 20476, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 19631, 236779, 5900, 1083, 11058, 9175, 2209, 514, 236792, 643, 79535, 827, 623, 111994, 236792, 643, 123340, 31458, 827, 623, 2209, 514, 9175, 47374, 18605, 827, 623, 31458, 236792, 643, 23727, 42356, 827, 623, 9175, 111994, 205224, 6022, 14255, 623, 5939, 236779, 14210, 1083, 623, 112865, 9737, 236772, 50694, 3755, 607, 14413, 20622, 236764, 16977, 7860, 3861, 532, 10615, 3904, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 19631, 236779, 1201, 1083, 623, 1829, 2818, 6924, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 9175, 2209, 514, 70755, 25938, 106, 107, 105, 4368, 107, 8291, 659, 9737, 236772, 50694, 19549, 1463, 3835, 573, 822, 35818, 1960, 236787, 108, 1018, 23395, 833, 80659, 236762, 42316, 53121, 107, 236770, 236761, 5213, 9175, 236792, 643, 1018, 138, 107, 139, 236769, 9175, 900, 41149, 236793, 9737, 18510, 20239, 9578, 21123, 236768, 138, 107, 236778, 236761, 5213, 1829, 2818, 6924, 1018, 138, 107, 139, 236769, 87958, 900, 8600, 236793, 31044, 2065, 20239, 76626, 11682, 236768, 138, 107, 236800, 236761, 5213, 111994, 236792, 20476, 1018, 138, 107, 139, 236769, 111994, 900, 41149, 900, 555, 37674, 236793, 14896, 236772, 52728, 26339, 580, 49639, 21123, 236768, 138, 108, 1018, 49074, 236772, 8615, 42200, 236772, 230013, 42316, 53121, 107, 236770, 236761, 5213, 9175, 2209, 514, 236792, 643, 79535, 1018, 138, 107, 139, 236769, 75174, 19549, 529, 1610, 236764, 21123, 236764, 532, 520, 2669, 236768, 138, 107, 236778, 236761, 5213, 31458, 236792, 643, 23727, 42356, 1018, 138, 107, 139, 236769, 185310, 9737, 2065, 607, 25075, 5619, 236768, 138, 107, 236800, 236761, 5213, 2209, 514, 9175, 70755, 1018, 138, 107, 139, 236769, 3845, 49371, 15039, 573, 35818, 532, 24597, 236768, 138, 108, 1018, 818, 18644, 98625, 53121, 138, 107, 236772, 5213, 98829, 31458, 18605, 1018, 568, 67328, 1610, 11682, 20239, 22726, 2065, 236768, 138, 107, 236772, 5213, 9175, 111994, 205224, 6022, 1018, 568, 207395, 1280, 21123, 1343, 1610, 532, 22726, 236768, 138, 108, 38786, 611, 1133, 531, 59638, 1027, 529, 1239, 3342, 236881, 1701, 2591, 236787, 138, 107, 236772, 4140, 9226, 50353, 16441, 568, 236744, 236761, 236759, 1126, 623, 236814, 40717, 236775, 653, 623, 5010, 1373, 138, 107, 236772, 92417, 20038, 1131, 5526, 36010, 568, 236744, 236761, 236759, 1126, 623, 198073, 2098, 623, 91802, 1373, 138, 107, 236772, 35593, 3861, 653, 232033, 34824, 236881, 106, 107, 105, 2364, 107, 236775, 9175, 2209, 514, 197859, 79535, 236775, 532, 623, 2209, 514, 9175, 70755, 197859, 236775, 1975, 855, 573, 910, 41945, 532, 939, 49371, 3213, 236761, 28344, 611, 59638, 1239, 1156, 3835, 1699, 506, 5213, 7902, 236779, 1201, 236779, 28602, 1018, 5904, 531, 14051, 910, 2436, 2109, 1651, 39983, 910, 7157, 22888, 236881, 6542, 236764, 8729, 886, 5213, 18999, 236779, 1201, 236779, 15721, 1018, 9302, 600, 28619, 623, 72414, 18510, 900, 9578, 21123, 900, 50353, 6540, 236775, 1131, 496, 27323, 236762, 236743, 236770, 236772, 236778, 3658, 1463, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11455, 1083, 623, 9175, 2209, 514, 236814, 40717, 79535, 827, 623, 147376, 1083, 623, 9175, 2209, 514, 833, 197859, 79535, 12872, 827, 623, 4818, 1083, 623, 10934, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 61899, 16658, 236779, 1201, 1083, 623, 2209, 514, 9175, 70755, 197859, 62300, 827, 623, 11455, 1083, 623, 2209, 514, 9175, 70755, 197859, 99143, 827, 623, 4818, 1083, 623, 10934, 827, 623, 4375, 1083, 623, 46603, 7860, 236772, 3119, 10615, 5618, 79720, 41945, 532, 939, 49371, 22888, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 203552, 193804, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 33093, 532, 861, 1463, 3835, 573, 822, 35818, 1960, 236787, 108, 1018, 112694, 16193, 236772, 1567, 222608, 53121, 138, 107, 236770, 236761, 5213, 9175, 2209, 514, 236814, 40717, 79535, 1018, 138, 107, 139, 236769, 7996, 17416, 19549, 529, 1610, 11682, 532, 89120, 41945, 236768, 138, 107, 139, 236829, 93993, 149681, 5213, 9175, 2209, 514, 833, 197859, 79535, 12872, 1018, 568, 139020, 5411, 15744, 3019, 236768, 138, 108, 236778, 236761, 5213, 2209, 514, 9175, 70755, 197859, 62300, 1018, 138, 107, 139, 236769, 126115, 939, 49371, 2065, 900, 50353, 57169, 57919, 236768, 138, 107, 139, 236829, 93993, 149681, 5213, 2209, 514, 9175, 70755, 197859, 99143, 1018, 568, 11757, 507, 580, 3399, 5603, 236768, 138, 108, 1018, 214673, 236762, 21175, 236772, 1567, 19993, 53121, 138, 107, 1018, 203552, 193804, 1018, 138, 107, 236769, 29388, 1472, 808, 203552, 236829, 870, 9524, 236786, 16602, 236842, 900, 808, 193804, 236829, 870, 1897, 3734, 236842, 607, 27394, 24597, 528, 2065, 236768, 138, 108, 38786, 611, 1133, 531, 236787, 138, 107, 236772, 35593, 506, 7002, 529, 9737, 7728, 236761, 9578, 4820, 528, 1027, 529, 1239, 236881, 138, 107, 236772, 4140, 14481, 9226, 16441, 568, 236744, 236761, 236759, 1126, 623, 18085, 2098, 623, 202880, 2098, 653, 3530, 10969, 3755, 20625, 138, 107, 236772, 46071, 232033, 15936, 568, 236744, 236761, 236759, 1126, 623, 203552, 193804, 236775, 16130, 623, 203552, 96736, 236775, 573, 496, 123926, 5057, 20625, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 32826, 496, 35818, 1960, 600, 130450, 22726, 236764, 1610, 11682, 236764, 532, 9226, 50353, 9871, 236761, 28344, 611, 8729, 496, 4709, 236764, 176690, 1960, 1463, 600, 22136, 672, 22064, 236881, 17608, 625, 63510, 840, 164840, 529, 1800, 21123, 532, 24597, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 151992, 197859, 79535, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 10340, 1960, 1463, 600, 59156, 822, 22888, 529, 35818, 236764, 22726, 236764, 1610, 11682, 236764, 532, 9226, 50353, 9871, 236787, 108, 1018, 236775, 151992, 197859, 79535, 236775, 1018, 108, 2094, 1463, 131680, 236787, 107, 236772, 5213, 191580, 1018, 1343, 623, 151992, 236775, 568, 17873, 236786, 224822, 236768, 532, 623, 236814, 40717, 236775, 568, 236749, 5337, 1415, 2065, 236768, 107, 236772, 5213, 22908, 1952, 1018, 4323, 623, 206958, 236775, 568, 12886, 99791, 236786, 661, 236768, 532, 506, 41945, 529, 7659, 50353, 28968, 107, 236772, 5213, 111534, 5603, 1018, 1343, 506, 14956, 104164, 529, 496, 109041, 618, 496, 22658, 1977, 108, 38786, 611, 1133, 15936, 600, 37837, 1027, 3530, 6084, 568, 236744, 236761, 236759, 1126, 919, 9737, 3755, 573, 22726, 236764, 653, 15281, 50353, 16441, 20625, 106, 107, 105, 2364, 107, 236775, 151992, 197859, 79535, 236775, 119636, 607, 506, 41945, 564, 1461, 236764, 840, 564, 236789, 236753, 1133, 919, 3835, 600, 25224, 20038, 1131, 506, 22726, 236786, 661, 11682, 19549, 236761, 28344, 611, 8729, 15936, 1699, 23548, 529, 4171, 1133, 623, 9175, 2209, 514, 2098, 623, 111994, 236792, 643, 2098, 653, 623, 98829, 31458, 51653, 6542, 236764, 1966, 20532, 236764, 27323, 1099, 5618, 600, 56856, 506, 9737, 236772, 50694, 16625, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19631, 236779, 1201, 1083, 623, 9175, 236792, 643, 827, 623, 4818, 1083, 623, 10934, 827, 623, 3278, 236779, 3456, 1083, 623, 9175, 2209, 514, 827, 623, 7777, 1083, 623, 46603, 1463, 26614, 756, 9175, 236789, 699, 4585, 2209, 514, 532, 756, 236792, 643, 236789, 531, 37837, 26648, 21123, 236764, 32427, 9737, 236772, 50694, 111476, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 111994, 236792, 20476, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 19631, 236779, 5900, 1083, 11058, 9175, 2209, 514, 236792, 643, 79535, 827, 623, 111994, 236792, 643, 123340, 31458, 827, 623, 2209, 514, 9175, 47374, 18605, 827, 623, 31458, 236792, 643, 23727, 42356, 827, 623, 9175, 111994, 205224, 6022, 14255, 623, 5939, 236779, 14210, 1083, 623, 112865, 9737, 236772, 50694, 3755, 607, 14413, 20622, 236764, 16977, 7860, 3861, 532, 10615, 3904, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 19631, 236779, 1201, 1083, 623, 1829, 2818, 6924, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 9175, 2209, 514, 70755, 25938, 106, 107, 105, 4368, 107, 8291, 659, 9737, 236772, 50694, 19549, 1463, 3835, 573, 822, 35818, 1960, 236787, 108, 1018, 23395, 833, 80659, 236762, 42316, 53121, 107, 236770, 236761, 5213, 9175, 236792, 643, 1018, 138, 107, 139, 236769, 9175, 900, 41149, 236793, 9737, 18510, 20239, 9578, 21123, 236768, 138, 107, 236778, 236761, 5213, 1829, 2818, 6924, 1018, 138, 107, 139, 236769, 87958, 900, 8600, 236793, 31044, 2065, 20239, 76626, 11682, 236768, 138, 107, 236800, 236761, 5213, 111994, 236792, 20476, 1018, 138, 107, 139, 236769, 111994, 900, 41149, 900, 555, 37674, 236793, 14896, 236772, 52728, 26339, 580, 49639, 21123, 236768, 138, 108, 1018, 49074, 236772, 8615, 42200, 236772, 230013, 42316, 53121, 107, 236770, 236761, 5213, 9175, 2209, 514, 236792, 643, 79535, 1018, 138, 107, 139, 236769, 75174, 19549, 529, 1610, 236764, 21123, 236764, 532, 520, 2669, 236768, 138, 107, 236778, 236761, 5213, 31458, 236792, 643, 23727, 42356, 1018, 138, 107, 139, 236769, 185310, 9737, 2065, 607, 25075, 5619, 236768, 138, 107, 236800, 236761, 5213, 2209, 514, 9175, 70755, 1018, 138, 107, 139, 236769, 3845, 49371, 15039, 573, 35818, 532, 24597, 236768, 138, 108, 1018, 818, 18644, 98625, 53121, 138, 107, 236772, 5213, 98829, 31458, 18605, 1018, 568, 67328, 1610, 11682, 20239, 22726, 2065, 236768, 138, 107, 236772, 5213, 9175, 111994, 205224, 6022, 1018, 568, 207395, 1280, 21123, 1343, 1610, 532, 22726, 236768, 138, 108, 38786, 611, 1133, 531, 59638, 1027, 529, 1239, 3342, 236881, 1701, 2591, 236787, 138, 107, 236772, 4140, 9226, 50353, 16441, 568, 236744, 236761, 236759, 1126, 623, 236814, 40717, 236775, 653, 623, 5010, 1373, 138, 107, 236772, 92417, 20038, 1131, 5526, 36010, 568, 236744, 236761, 236759, 1126, 623, 198073, 2098, 623, 91802, 1373, 138, 107, 236772, 35593, 3861, 653, 232033, 34824, 236881, 106, 107, 105, 2364, 107, 236775, 9175, 2209, 514, 197859, 79535, 236775, 532, 623, 2209, 514, 9175, 70755, 197859, 236775, 1975, 855, 573, 910, 41945, 532, 939, 49371, 3213, 236761, 28344, 611, 59638, 1239, 1156, 3835, 1699, 506, 5213, 7902, 236779, 1201, 236779, 28602, 1018, 5904, 531, 14051, 910, 2436, 2109, 1651, 39983, 910, 7157, 22888, 236881, 6542, 236764, 8729, 886, 5213, 18999, 236779, 1201, 236779, 15721, 1018, 9302, 600, 28619, 623, 72414, 18510, 900, 9578, 21123, 900, 50353, 6540, 236775, 1131, 496, 27323, 236762, 236743, 236770, 236772, 236778, 3658, 1463, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11455, 1083, 623, 9175, 2209, 514, 236814, 40717, 79535, 827, 623, 147376, 1083, 623, 9175, 2209, 514, 833, 197859, 79535, 12872, 827, 623, 4818, 1083, 623, 10934, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 61899, 16658, 236779, 1201, 1083, 623, 2209, 514, 9175, 70755, 197859, 62300, 827, 623, 11455, 1083, 623, 2209, 514, 9175, 70755, 197859, 99143, 827, 623, 4818, 1083, 623, 10934, 827, 623, 4375, 1083, 623, 46603, 7860, 236772, 3119, 10615, 5618, 79720, 41945, 532, 939, 49371, 22888, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 203552, 193804, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 33093, 532, 861, 1463, 3835, 573, 822, 35818, 1960, 236787, 108, 1018, 112694, 16193, 236772, 1567, 222608, 53121, 138, 107, 236770, 236761, 5213, 9175, 2209, 514, 236814, 40717, 79535, 1018, 138, 107, 139, 236769, 7996, 17416, 19549, 529, 1610, 11682, 532, 89120, 41945, 236768, 138, 107, 139, 236829, 93993, 149681, 5213, 9175, 2209, 514, 833, 197859, 79535, 12872, 1018, 568, 139020, 5411, 15744, 3019, 236768, 138, 108, 236778, 236761, 5213, 2209, 514, 9175, 70755, 197859, 62300, 1018, 138, 107, 139, 236769, 126115, 939, 49371, 2065, 900, 50353, 57169, 57919, 236768, 138, 107, 139, 236829, 93993, 149681, 5213, 2209, 514, 9175, 70755, 197859, 99143, 1018, 568, 11757, 507, 580, 3399, 5603, 236768, 138, 108, 1018, 214673, 236762, 21175, 236772, 1567, 19993, 53121, 138, 107, 1018, 203552, 193804, 1018, 138, 107, 236769, 29388, 1472, 808, 203552, 236829, 870, 9524, 236786, 16602, 236842, 900, 808, 193804, 236829, 870, 1897, 3734, 236842, 607, 27394, 24597, 528, 2065, 236768, 138, 108, 38786, 611, 1133, 531, 236787, 138, 107, 236772, 35593, 506, 7002, 529, 9737, 7728, 236761, 9578, 4820, 528, 1027, 529, 1239, 236881, 138, 107, 236772, 4140, 14481, 9226, 16441, 568, 236744, 236761, 236759, 1126, 623, 18085, 2098, 623, 202880, 2098, 653, 3530, 10969, 3755, 20625, 138, 107, 236772, 46071, 232033, 15936, 568, 236744, 236761, 236759, 1126, 623, 203552, 193804, 236775, 16130, 623, 203552, 96736, 236775, 573, 496, 123926, 5057, 20625, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 2426, 506, 1873, 4981, 529, 506, 1458, 30035, 15048, 532, 6054, 768, 692, 740, 1138, 496, 861, 1494, 236772, 47384, 13952, 2864, 2180, 34957, 6541, 236761, 5315, 236764, 33205, 506, 15048, 1938, 1699, 506, 14017, 236779, 15204, 5904, 236761, 9920, 611, 735, 506, 1873, 15048, 2425, 532, 30035, 4981, 236764, 18840, 3363, 8009, 2264, 2864, 1093, 9644, 1023, 92604, 14272, 529, 236743, 236770, 236810, 22600, 9395, 236761, 1637, 506, 15048, 563, 3426, 6541, 236764, 3600, 26891, 607, 506, 861, 2864, 236761, 1637, 625, 236789, 236751, 657, 653, 3541, 6541, 236764, 5840, 9495, 3097, 506, 15048, 102082, 236761, 39525, 496, 3582, 236764, 83979, 25809, 2721, 580, 822, 12396, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 15204, 236779, 2086, 1083, 236743, 236770, 236778, 236764, 623, 211701, 236779, 4818, 1083, 623, 5034, 25938, 106, 107, 105, 4368, 107, 818, 1873, 1458, 30035, 15048, 815, 5213, 236770, 236778, 22600, 9395, 1018, 532, 563, 22074, 8487, 48158, 236761, 5612, 822, 92604, 6541, 14272, 563, 5213, 236770, 236810, 22600, 9395, 125546, 8009, 496, 861, 1494, 236772, 47384, 13952, 2864, 1093, 3553, 506, 15048, 2425, 531, 5213, 236770, 236800, 125546, 837, 563, 5213, 60096, 506, 14272, 84750, 236743, 108, 10354, 111506, 236787, 107, 142480, 607, 43660, 506, 861, 1494, 236772, 47384, 13952, 2864, 236761, 669, 1458, 815, 7271, 6541, 531, 6060, 625, 2180, 34957, 506, 236743, 236770, 236810, 236772, 8071, 4576, 236761, 3153, 236764, 7020, 506, 15048, 54744, 236764, 618, 4767, 30568, 9395, 1451, 4313, 506, 14272, 1913, 5158, 30035, 13443, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 611, 531, 2426, 506, 1873, 4981, 529, 506, 1458, 30035, 15048, 532, 6054, 768, 692, 740, 1138, 496, 861, 1494, 236772, 47384, 13952, 2864, 2180, 34957, 6541, 236761, 5315, 236764, 33205, 506, 15048, 1938, 1699, 506, 14017, 236779, 15204, 5904, 236761, 9920, 611, 735, 506, 1873, 15048, 2425, 532, 30035, 4981, 236764, 18840, 3363, 8009, 2264, 2864, 1093, 9644, 1023, 92604, 14272, 529, 236743, 236770, 236810, 22600, 9395, 236761, 1637, 506, 15048, 563, 3426, 6541, 236764, 3600, 26891, 607, 506, 861, 2864, 236761, 1637, 625, 236789, 236751, 657, 653, 3541, 6541, 236764, 5840, 9495, 3097, 506, 15048, 102082, 236761, 39525, 496, 3582, 236764, 83979, 25809, 2721, 580, 822, 12396, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 15204, 236779, 2086, 1083, 236743, 236770, 236778, 236764, 623, 211701, 236779, 4818, 1083, 623, 5034, 25938, 106, 107, 105, 4368, 107, 818, 1873, 1458, 30035, 15048, 815, 5213, 236770, 236778, 22600, 9395, 1018, 532, 563, 22074, 8487, 48158, 236761, 5612, 822, 92604, 6541, 14272, 563, 5213, 236770, 236810, 22600, 9395, 125546, 8009, 496, 861, 1494, 236772, 47384, 13952, 2864, 1093, 3553, 506, 15048, 2425, 531, 5213, 236770, 236800, 125546, 837, 563, 5213, 60096, 506, 14272, 84750, 236743, 108, 10354, 111506, 236787, 107, 142480, 607, 43660, 506, 861, 1494, 236772, 47384, 13952, 2864, 236761, 669, 1458, 815, 7271, 6541, 531, 6060, 625, 2180, 34957, 506, 236743, 236770, 236810, 236772, 8071, 4576, 236761, 3153, 236764, 7020, 506, 15048, 54744, 236764, 618, 4767, 30568, 9395, 1451, 4313, 506, 14272, 1913, 5158, 30035, 13443, 236761, 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, 21494, 1041, 6211, 25421, 1960, 532, 1461, 531, 1281, 837, 13390, 659, 5633, 55438, 528, 506, 2590, 236761, 3199, 611, 1407, 786, 506, 1903, 236772, 68219, 13390, 1024, 506, 3068, 7737, 834, 564, 740, 11327, 3435, 7760, 236881, 564, 236789, 236757, 6412, 23210, 1003, 18597, 4596, 531, 11675, 653, 9578, 15653, 2338, 1724, 8913, 607, 1041, 6130, 236764, 840, 564, 236789, 859, 1966, 4658, 607, 3188, 3877, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 78024, 1083, 623, 49789, 35485, 827, 623, 32677, 236779, 38294, 1083, 623, 236770, 236828, 236761, 236832, 236908, 3877, 827, 623, 2289, 236779, 23735, 1083, 623, 236935, 236770, 236743, 236778, 236771, 236778, 236810, 827, 623, 13647, 1083, 623, 3118, 827, 623, 15080, 1083, 236743, 236770, 1263, 3714, 78024, 1083, 623, 115489, 742, 9904, 13000, 827, 623, 32677, 236779, 38294, 1083, 623, 236770, 236810, 236761, 236778, 236908, 3877, 827, 623, 2289, 236779, 23735, 1083, 623, 236935, 236770, 236743, 236778, 236771, 236778, 236810, 827, 623, 13647, 1083, 623, 3118, 827, 623, 15080, 1083, 236743, 236778, 1263, 3714, 78024, 1083, 623, 16493, 26745, 158387, 827, 623, 32677, 236779, 38294, 1083, 623, 236770, 236778, 236761, 236812, 236908, 3877, 827, 623, 2289, 236779, 23735, 1083, 623, 236935, 236770, 236743, 236778, 236771, 236778, 236810, 827, 623, 13647, 1083, 623, 3118, 827, 623, 15080, 1083, 236743, 236800, 1263, 3714, 78024, 1083, 623, 81343, 37247, 23566, 827, 623, 32677, 236779, 38294, 1083, 623, 236770, 236771, 236761, 236819, 236908, 3877, 827, 623, 2289, 236779, 23735, 1083, 623, 236935, 236770, 236743, 236778, 236771, 236778, 236810, 827, 623, 13647, 1083, 623, 3118, 827, 623, 15080, 1083, 236743, 236812, 1263, 3714, 78024, 1083, 623, 174779, 26810, 26354, 827, 623, 32677, 236779, 38294, 1083, 623, 236819, 236761, 236828, 236908, 3877, 827, 623, 2289, 236779, 23735, 1083, 623, 236935, 236770, 236743, 236778, 236771, 236778, 236810, 827, 623, 13647, 1083, 623, 3118, 827, 623, 15080, 1083, 236743, 236810, 104960, 623, 53298, 1083, 3714, 4000, 2662, 1083, 236743, 236770, 236764, 623, 11134, 969, 1083, 236743, 236770, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236832, 236764, 623, 4874, 236779, 4000, 1083, 236743, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236772, 68219, 2590, 13390, 1024, 506, 3068, 7737, 568, 236935, 236770, 236743, 236778, 236771, 236778, 236810, 779, 607, 496, 3213, 580, 7760, 7798, 531, 822, 6211, 25421, 14739, 236787, 108, 1018, 8534, 236743, 236810, 29327, 684, 26608, 53121, 107, 236770, 236761, 5213, 49789, 35485, 1018, 568, 236770, 236828, 236761, 236832, 236908, 3877, 236768, 138, 107, 139, 236772, 49308, 28431, 236764, 18510, 10630, 236764, 532, 8459, 14896, 36253, 236761, 108, 236778, 236761, 5213, 115489, 742, 9904, 13000, 1018, 568, 236770, 236810, 236761, 236778, 236908, 3877, 236768, 138, 107, 139, 236772, 29277, 236786, 15879, 12308, 236764, 10055, 6310, 236764, 532, 3826, 2778, 5434, 236761, 108, 236800, 236761, 5213, 16493, 26745, 158387, 1018, 568, 236770, 236778, 236761, 236812, 236908, 3877, 236768, 236743, 247211, 138, 107, 139, 236772, 181141, 100146, 607, 822, 6130, 528, 6211, 25421, 532, 70065, 11675, 236761, 108, 236812, 236761, 5213, 81343, 37247, 23566, 1018, 568, 236770, 236771, 236761, 236819, 236908, 3877, 236768, 138, 107, 139, 236772, 15735, 11675, 3797, 532, 6638, 8459, 7359, 236761, 108, 236810, 236761, 5213, 174779, 26810, 26354, 1018, 568, 236819, 236761, 236828, 236908, 3877, 236768, 138, 107, 139, 236772, 43804, 236772, 18865, 17257, 236764, 40399, 5417, 236764, 532, 2708, 236772, 25510, 3719, 236761, 108, 1018, 27779, 62503, 53121, 138, 107, 236772, 669, 2587, 15297, 5132, 236743, 236812, 236832, 13390, 236764, 607, 20222, 18597, 1133, 78695, 6237, 236764, 5526, 4744, 11675, 236764, 532, 25075, 6211, 2025, 6807, 3188, 3877, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 91820, 9813, 3736, 19455, 573, 1027, 3530, 3956, 236881, 138, 107, 236778, 236761, 46071, 4699, 2351, 1239, 18597, 1699, 910, 84390, 16271, 236881, 138, 107, 236800, 236761, 121353, 15067, 528, 496, 3530, 1159, 236772, 236749, 7896, 568, 236744, 236761, 236759, 1126, 3826, 11675, 653, 18510, 77746, 20625, 138, 108, 11069, 6211, 25421, 1695, 1451, 2939, 611, 1388, 573, 13287, 26745, 158387, 3877, 653, 33000, 528, 23703, 35485, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 6972, 1003, 21494, 1041, 6211, 25421, 1960, 532, 1461, 531, 1281, 837, 13390, 659, 5633, 55438, 528, 506, 2590, 236761, 3199, 611, 1407, 786, 506, 1903, 236772, 68219, 13390, 1024, 506, 3068, 7737, 834, 564, 740, 11327, 3435, 7760, 236881, 564, 236789, 236757, 6412, 23210, 1003, 18597, 4596, 531, 11675, 653, 9578, 15653, 2338, 1724, 8913, 607, 1041, 6130, 236764, 840, 564, 236789, 859, 1966, 4658, 607, 3188, 3877, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 78024, 1083, 623, 49789, 35485, 827, 623, 32677, 236779, 38294, 1083, 623, 236770, 236828, 236761, 236832, 236908, 3877, 827, 623, 2289, 236779, 23735, 1083, 623, 236935, 236770, 236743, 236778, 236771, 236778, 236810, 827, 623, 13647, 1083, 623, 3118, 827, 623, 15080, 1083, 236743, 236770, 1263, 3714, 78024, 1083, 623, 115489, 742, 9904, 13000, 827, 623, 32677, 236779, 38294, 1083, 623, 236770, 236810, 236761, 236778, 236908, 3877, 827, 623, 2289, 236779, 23735, 1083, 623, 236935, 236770, 236743, 236778, 236771, 236778, 236810, 827, 623, 13647, 1083, 623, 3118, 827, 623, 15080, 1083, 236743, 236778, 1263, 3714, 78024, 1083, 623, 16493, 26745, 158387, 827, 623, 32677, 236779, 38294, 1083, 623, 236770, 236778, 236761, 236812, 236908, 3877, 827, 623, 2289, 236779, 23735, 1083, 623, 236935, 236770, 236743, 236778, 236771, 236778, 236810, 827, 623, 13647, 1083, 623, 3118, 827, 623, 15080, 1083, 236743, 236800, 1263, 3714, 78024, 1083, 623, 81343, 37247, 23566, 827, 623, 32677, 236779, 38294, 1083, 623, 236770, 236771, 236761, 236819, 236908, 3877, 827, 623, 2289, 236779, 23735, 1083, 623, 236935, 236770, 236743, 236778, 236771, 236778, 236810, 827, 623, 13647, 1083, 623, 3118, 827, 623, 15080, 1083, 236743, 236812, 1263, 3714, 78024, 1083, 623, 174779, 26810, 26354, 827, 623, 32677, 236779, 38294, 1083, 623, 236819, 236761, 236828, 236908, 3877, 827, 623, 2289, 236779, 23735, 1083, 623, 236935, 236770, 236743, 236778, 236771, 236778, 236810, 827, 623, 13647, 1083, 623, 3118, 827, 623, 15080, 1083, 236743, 236810, 104960, 623, 53298, 1083, 3714, 4000, 2662, 1083, 236743, 236770, 236764, 623, 11134, 969, 1083, 236743, 236770, 236771, 236764, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236832, 236764, 623, 4874, 236779, 4000, 1083, 236743, 236778, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236772, 68219, 2590, 13390, 1024, 506, 3068, 7737, 568, 236935, 236770, 236743, 236778, 236771, 236778, 236810, 779, 607, 496, 3213, 580, 7760, 7798, 531, 822, 6211, 25421, 14739, 236787, 108, 1018, 8534, 236743, 236810, 29327, 684, 26608, 53121, 107, 236770, 236761, 5213, 49789, 35485, 1018, 568, 236770, 236828, 236761, 236832, 236908, 3877, 236768, 138, 107, 139, 236772, 49308, 28431, 236764, 18510, 10630, 236764, 532, 8459, 14896, 36253, 236761, 108, 236778, 236761, 5213, 115489, 742, 9904, 13000, 1018, 568, 236770, 236810, 236761, 236778, 236908, 3877, 236768, 138, 107, 139, 236772, 29277, 236786, 15879, 12308, 236764, 10055, 6310, 236764, 532, 3826, 2778, 5434, 236761, 108, 236800, 236761, 5213, 16493, 26745, 158387, 1018, 568, 236770, 236778, 236761, 236812, 236908, 3877, 236768, 236743, 247211, 138, 107, 139, 236772, 181141, 100146, 607, 822, 6130, 528, 6211, 25421, 532, 70065, 11675, 236761, 108, 236812, 236761, 5213, 81343, 37247, 23566, 1018, 568, 236770, 236771, 236761, 236819, 236908, 3877, 236768, 138, 107, 139, 236772, 15735, 11675, 3797, 532, 6638, 8459, 7359, 236761, 108, 236810, 236761, 5213, 174779, 26810, 26354, 1018, 568, 236819, 236761, 236828, 236908, 3877, 236768, 138, 107, 139, 236772, 43804, 236772, 18865, 17257, 236764, 40399, 5417, 236764, 532, 2708, 236772, 25510, 3719, 236761, 108, 1018, 27779, 62503, 53121, 138, 107, 236772, 669, 2587, 15297, 5132, 236743, 236812, 236832, 13390, 236764, 607, 20222, 18597, 1133, 78695, 6237, 236764, 5526, 4744, 11675, 236764, 532, 25075, 6211, 2025, 6807, 3188, 3877, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 91820, 9813, 3736, 19455, 573, 1027, 3530, 3956, 236881, 138, 107, 236778, 236761, 46071, 4699, 2351, 1239, 18597, 1699, 910, 84390, 16271, 236881, 138, 107, 236800, 236761, 121353, 15067, 528, 496, 3530, 1159, 236772, 236749, 7896, 568, 236744, 236761, 236759, 1126, 3826, 11675, 653, 18510, 77746, 20625, 138, 108, 11069, 6211, 25421, 1695, 1451, 2939, 611, 1388, 573, 13287, 26745, 158387, 3877, 653, 33000, 528, 23703, 35485, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 506, 20480, 56288, 531, 1041, 2033, 528, 3331, 1826, 6914, 236761, 564, 1751, 506, 65911, 3393, 563, 236743, 236800, 236771, 236770, 236778, 236770, 236764, 840, 6494, 564, 6921, 872, 506, 4945, 236761, 28344, 611, 2426, 506, 4762, 3421, 532, 3885, 573, 786, 1699, 600, 65911, 236881, 1637, 600, 4038, 236789, 236745, 981, 236764, 2056, 236743, 236800, 236771, 236770, 236778, 236771, 5205, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7720, 1083, 623, 236770, 236778, 236800, 236771, 14710, 9327, 22077, 593, 15485, 236762, 45753, 827, 623, 13319, 1083, 623, 9767, 1826, 6914, 827, 623, 3255, 1083, 623, 10032, 827, 623, 15905, 236779, 3970, 1083, 623, 236800, 236771, 236770, 236778, 236770, 827, 623, 5275, 236779, 5640, 1083, 33865, 236832, 236832, 236771, 236768, 236743, 236800, 236828, 236778, 236772, 236828, 236828, 236770, 236770, 827, 623, 24392, 1083, 3714, 49381, 1083, 623, 236778, 236812, 3885, 827, 623, 55703, 1083, 623, 236778, 236812, 3885, 827, 623, 58189, 1083, 623, 236778, 236812, 3885, 827, 623, 54904, 1083, 623, 236778, 236812, 3885, 827, 623, 45262, 1083, 623, 236778, 236812, 3885, 827, 623, 46325, 1083, 623, 236778, 236812, 3885, 827, 623, 48049, 1083, 623, 236778, 236812, 3885, 23179, 623, 7125, 236779, 13308, 1083, 3714, 37673, 1083, 236743, 236800, 236812, 236761, 236770, 236810, 236828, 236832, 236764, 623, 41713, 1083, 753, 236828, 236812, 236761, 236832, 236825, 236832, 236810, 236764, 623, 6457, 236779, 2084, 1083, 623, 16769, 3873, 827, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236761, 236800, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 506, 56288, 3541, 822, 65911, 3393, 236743, 236800, 236771, 236770, 236778, 236770, 528, 3331, 1826, 6914, 236787, 108, 1018, 12424, 21617, 1018, 138, 107, 236770, 236778, 236800, 236771, 14710, 9327, 22077, 593, 15485, 236762, 45753, 138, 107, 9767, 1826, 6914, 236764, 23639, 236743, 236800, 236771, 236770, 236778, 236770, 138, 107, 236769, 236832, 236832, 236771, 236768, 236743, 236800, 236828, 236778, 236772, 236828, 236828, 236770, 236770, 138, 108, 1018, 35835, 1018, 138, 107, 7084, 236743, 236778, 236812, 3885, 6376, 568, 236832, 2668, 496, 2069, 769, 138, 108, 1018, 9473, 1018, 138, 107, 236772, 9250, 236787, 56288, 6562, 3873, 138, 107, 236772, 46783, 236787, 2578, 236778, 236761, 236800, 7635, 699, 822, 65911, 3393, 138, 107, 236772, 119558, 236787, 165356, 236743, 236800, 236812, 236761, 236770, 236810, 236828, 236832, 236764, 8099, 4637, 753, 236828, 236812, 236761, 236832, 236825, 236832, 236810, 138, 108, 4602, 672, 506, 4563, 611, 964, 3182, 573, 236881, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 786, 531, 2426, 65911, 236743, 236800, 236771, 236770, 236778, 236771, 5205, 653, 2847, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 506, 20480, 56288, 531, 1041, 2033, 528, 3331, 1826, 6914, 236761, 564, 1751, 506, 65911, 3393, 563, 236743, 236800, 236771, 236770, 236778, 236770, 236764, 840, 6494, 564, 6921, 872, 506, 4945, 236761, 28344, 611, 2426, 506, 4762, 3421, 532, 3885, 573, 786, 1699, 600, 65911, 236881, 1637, 600, 4038, 236789, 236745, 981, 236764, 2056, 236743, 236800, 236771, 236770, 236778, 236771, 5205, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7720, 1083, 623, 236770, 236778, 236800, 236771, 14710, 9327, 22077, 593, 15485, 236762, 45753, 827, 623, 13319, 1083, 623, 9767, 1826, 6914, 827, 623, 3255, 1083, 623, 10032, 827, 623, 15905, 236779, 3970, 1083, 623, 236800, 236771, 236770, 236778, 236770, 827, 623, 5275, 236779, 5640, 1083, 33865, 236832, 236832, 236771, 236768, 236743, 236800, 236828, 236778, 236772, 236828, 236828, 236770, 236770, 827, 623, 24392, 1083, 3714, 49381, 1083, 623, 236778, 236812, 3885, 827, 623, 55703, 1083, 623, 236778, 236812, 3885, 827, 623, 58189, 1083, 623, 236778, 236812, 3885, 827, 623, 54904, 1083, 623, 236778, 236812, 3885, 827, 623, 45262, 1083, 623, 236778, 236812, 3885, 827, 623, 46325, 1083, 623, 236778, 236812, 3885, 827, 623, 48049, 1083, 623, 236778, 236812, 3885, 23179, 623, 7125, 236779, 13308, 1083, 3714, 37673, 1083, 236743, 236800, 236812, 236761, 236770, 236810, 236828, 236832, 236764, 623, 41713, 1083, 753, 236828, 236812, 236761, 236832, 236825, 236832, 236810, 236764, 623, 6457, 236779, 2084, 1083, 623, 16769, 3873, 827, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236761, 236800, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 506, 56288, 3541, 822, 65911, 3393, 236743, 236800, 236771, 236770, 236778, 236770, 528, 3331, 1826, 6914, 236787, 108, 1018, 12424, 21617, 1018, 138, 107, 236770, 236778, 236800, 236771, 14710, 9327, 22077, 593, 15485, 236762, 45753, 138, 107, 9767, 1826, 6914, 236764, 23639, 236743, 236800, 236771, 236770, 236778, 236770, 138, 107, 236769, 236832, 236832, 236771, 236768, 236743, 236800, 236828, 236778, 236772, 236828, 236828, 236770, 236770, 138, 108, 1018, 35835, 1018, 138, 107, 7084, 236743, 236778, 236812, 3885, 6376, 568, 236832, 2668, 496, 2069, 769, 138, 108, 1018, 9473, 1018, 138, 107, 236772, 9250, 236787, 56288, 6562, 3873, 138, 107, 236772, 46783, 236787, 2578, 236778, 236761, 236800, 7635, 699, 822, 65911, 3393, 138, 107, 236772, 119558, 236787, 165356, 236743, 236800, 236812, 236761, 236770, 236810, 236828, 236832, 236764, 8099, 4637, 753, 236828, 236812, 236761, 236832, 236825, 236832, 236810, 138, 108, 4602, 672, 506, 4563, 611, 964, 3182, 573, 236881, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 786, 531, 2426, 65911, 236743, 236800, 236771, 236770, 236778, 236771, 5205, 653, 2847, 4767, 4889, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 564, 236789, 236757, 30160, 236761, 564, 236789, 236757, 6995, 496, 7972, 6647, 18669, 657, 506, 205954, 7423, 13826, 573, 506, 1171, 8224, 528, 5142, 236761, 5315, 236764, 564, 1202, 531, 2426, 768, 993, 236789, 236751, 1027, 3262, 2263, 2460, 47341, 607, 600, 3433, 237028, 236777, 236789, 859, 1161, 506, 4668, 236779, 6265, 5904, 607, 623, 129746, 64410, 7074, 236775, 618, 506, 3738, 236761, 4298, 236764, 2338, 564, 236789, 236757, 18430, 531, 735, 496, 15083, 16646, 699, 506, 3148, 529, 10561, 236764, 564, 236789, 859, 1202, 506, 16047, 4889, 573, 10561, 708, 236789, 201640, 568, 236777, 12734, 3393, 157005, 236768, 1699, 506, 16047, 236779, 3906, 5904, 236761, 13472, 236764, 1138, 496, 4209, 531, 1041, 531, 236772, 2320, 1694, 21250, 623, 115232, 39405, 22113, 753, 5142, 236743, 236770, 540, 236775, 607, 506, 4668, 12396, 532, 16047, 4301, 8687, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 86563, 1083, 78493, 3250, 1083, 623, 129746, 64410, 7423, 13826, 185131, 5142, 236743, 236770, 540, 39405, 12142, 827, 623, 6011, 1083, 623, 818, 9427, 815, 14812, 496, 7972, 6647, 18669, 580, 5142, 236743, 236770, 540, 568, 46325, 236768, 699, 236743, 236770, 236771, 8151, 531, 236743, 236770, 236778, 8711, 528, 506, 1689, 2460, 11967, 236764, 187017, 607, 30160, 236789, 236751, 13015, 2460, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236828, 236774, 236770, 236770, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 17698, 7124, 17256, 2061, 1799, 13826, 81909, 48139, 827, 623, 6011, 1083, 623, 129746, 64410, 4085, 7124, 10833, 609, 236810, 236792, 9427, 10534, 2440, 861, 6647, 17650, 236764, 607, 5431, 6250, 5142, 236743, 236770, 236810, 594, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236810, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 68051, 11493, 19871, 12209, 90659, 580, 3353, 236743, 236770, 236828, 594, 827, 623, 6011, 1083, 623, 4330, 236743, 236778, 236771, 236771, 40303, 26695, 528, 506, 3399, 7972, 2460, 657, 205954, 4085, 4556, 236764, 18482, 2263, 163517, 11848, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 127571, 1083, 623, 10069, 827, 623, 1201, 1083, 623, 49548, 708, 236789, 201640, 5785, 17526, 827, 623, 13319, 1083, 623, 49548, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 99883, 1083, 623, 47158, 236786, 49548, 827, 623, 39175, 236779, 2861, 1083, 236743, 236828, 236764, 623, 4503, 2677, 236779, 2861, 1083, 236743, 236812, 236764, 623, 4002, 236779, 19323, 1083, 3714, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236778, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 236779, 18223, 1083, 236743, 236825, 236810, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 8071, 236779, 547, 1083, 623, 81253, 236779, 236778, 236771, 236778, 236812, 236771, 236825, 236771, 236770, 236779, 236823, 10581, 1439, 827, 623, 8071, 236779, 1201, 1083, 623, 115232, 39405, 22113, 753, 5142, 236743, 236770, 540, 827, 623, 26303, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236771, 236770, 827, 623, 47384, 1083, 623, 28602, 827, 623, 4818, 1083, 623, 21934, 25938, 106, 107, 105, 4368, 107, 11069, 7972, 6647, 18669, 6995, 4209, 815, 1010, 3742, 531, 822, 531, 236772, 2320, 1694, 568, 1735, 236787, 143280, 236779, 236778, 236771, 236778, 236812, 236771, 236825, 236771, 236770, 236779, 236823, 10581, 1439, 779, 840, 993, 236789, 236751, 614, 2132, 12160, 531, 3421, 236787, 108, 1018, 89740, 71928, 7989, 1018, 138, 107, 818, 205954, 7423, 13826, 815, 808, 68020, 14812, 236829, 496, 7972, 6647, 18669, 580, 5213, 27403, 236743, 236770, 540, 236764, 236743, 236778, 236771, 236778, 236812, 1018, 568, 31159, 3433, 618, 822, 13015, 2460, 236768, 699, 236743, 236770, 236771, 8151, 236964, 236770, 236778, 8711, 528, 506, 1689, 2460, 11967, 568, 721, 870, 129746, 64410, 7074, 236764, 3353, 236743, 236778, 236828, 5457, 2574, 1411, 869, 1178, 498, 40892, 236761, 8358, 236786, 236778, 236771, 236778, 236812, 236786, 236771, 236810, 236786, 236778, 236828, 236786, 45312, 236772, 141805, 236772, 41413, 11287, 108, 1018, 9272, 50228, 58731, 66515, 107, 236770, 236761, 13948, 506, 9427, 531, 9128, 768, 822, 2460, 740, 124329, 653, 3548, 221418, 107, 236778, 236761, 17526, 4889, 573, 10561, 708, 236789, 201640, 568, 10069, 236768, 659, 5508, 573, 16646, 4301, 6995, 236787, 107, 139, 236772, 14040, 7606, 236787, 236743, 236778, 236778, 237366, 236780, 236764, 216726, 130915, 107, 139, 236772, 236743, 236828, 42310, 236764, 236743, 236812, 189703, 107, 139, 236772, 7578, 13873, 236787, 5711, 236786, 49548, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 496, 3618, 531, 506, 9427, 1003, 672, 39252, 12160, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 564, 236789, 236757, 30160, 236761, 564, 236789, 236757, 6995, 496, 7972, 6647, 18669, 657, 506, 205954, 7423, 13826, 573, 506, 1171, 8224, 528, 5142, 236761, 5315, 236764, 564, 1202, 531, 2426, 768, 993, 236789, 236751, 1027, 3262, 2263, 2460, 47341, 607, 600, 3433, 237028, 236777, 236789, 859, 1161, 506, 4668, 236779, 6265, 5904, 607, 623, 129746, 64410, 7074, 236775, 618, 506, 3738, 236761, 4298, 236764, 2338, 564, 236789, 236757, 18430, 531, 735, 496, 15083, 16646, 699, 506, 3148, 529, 10561, 236764, 564, 236789, 859, 1202, 506, 16047, 4889, 573, 10561, 708, 236789, 201640, 568, 236777, 12734, 3393, 157005, 236768, 1699, 506, 16047, 236779, 3906, 5904, 236761, 13472, 236764, 1138, 496, 4209, 531, 1041, 531, 236772, 2320, 1694, 21250, 623, 115232, 39405, 22113, 753, 5142, 236743, 236770, 540, 236775, 607, 506, 4668, 12396, 532, 16047, 4301, 8687, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 236779, 86563, 1083, 78493, 3250, 1083, 623, 129746, 64410, 7423, 13826, 185131, 5142, 236743, 236770, 540, 39405, 12142, 827, 623, 6011, 1083, 623, 818, 9427, 815, 14812, 496, 7972, 6647, 18669, 580, 5142, 236743, 236770, 540, 568, 46325, 236768, 699, 236743, 236770, 236771, 8151, 531, 236743, 236770, 236778, 8711, 528, 506, 1689, 2460, 11967, 236764, 187017, 607, 30160, 236789, 236751, 13015, 2460, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236828, 236774, 236770, 236770, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 17698, 7124, 17256, 2061, 1799, 13826, 81909, 48139, 827, 623, 6011, 1083, 623, 129746, 64410, 4085, 7124, 10833, 609, 236810, 236792, 9427, 10534, 2440, 861, 6647, 17650, 236764, 607, 5431, 6250, 5142, 236743, 236770, 236810, 594, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236810, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 3250, 1083, 623, 68051, 11493, 19871, 12209, 90659, 580, 3353, 236743, 236770, 236828, 594, 827, 623, 6011, 1083, 623, 4330, 236743, 236778, 236771, 236771, 40303, 26695, 528, 506, 3399, 7972, 2460, 657, 205954, 4085, 4556, 236764, 18482, 2263, 163517, 11848, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236828, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 127571, 1083, 623, 10069, 827, 623, 1201, 1083, 623, 49548, 708, 236789, 201640, 5785, 17526, 827, 623, 13319, 1083, 623, 49548, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 99883, 1083, 623, 47158, 236786, 49548, 827, 623, 39175, 236779, 2861, 1083, 236743, 236828, 236764, 623, 4503, 2677, 236779, 2861, 1083, 236743, 236812, 236764, 623, 4002, 236779, 19323, 1083, 3714, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236778, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 77269, 236779, 18223, 1083, 236743, 236825, 236810, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 8071, 236779, 547, 1083, 623, 81253, 236779, 236778, 236771, 236778, 236812, 236771, 236825, 236771, 236770, 236779, 236823, 10581, 1439, 827, 623, 8071, 236779, 1201, 1083, 623, 115232, 39405, 22113, 753, 5142, 236743, 236770, 540, 827, 623, 26303, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236771, 236770, 827, 623, 47384, 1083, 623, 28602, 827, 623, 4818, 1083, 623, 21934, 25938, 106, 107, 105, 4368, 107, 11069, 7972, 6647, 18669, 6995, 4209, 815, 1010, 3742, 531, 822, 531, 236772, 2320, 1694, 568, 1735, 236787, 143280, 236779, 236778, 236771, 236778, 236812, 236771, 236825, 236771, 236770, 236779, 236823, 10581, 1439, 779, 840, 993, 236789, 236751, 614, 2132, 12160, 531, 3421, 236787, 108, 1018, 89740, 71928, 7989, 1018, 138, 107, 818, 205954, 7423, 13826, 815, 808, 68020, 14812, 236829, 496, 7972, 6647, 18669, 580, 5213, 27403, 236743, 236770, 540, 236764, 236743, 236778, 236771, 236778, 236812, 1018, 568, 31159, 3433, 618, 822, 13015, 2460, 236768, 699, 236743, 236770, 236771, 8151, 236964, 236770, 236778, 8711, 528, 506, 1689, 2460, 11967, 568, 721, 870, 129746, 64410, 7074, 236764, 3353, 236743, 236778, 236828, 5457, 2574, 1411, 869, 1178, 498, 40892, 236761, 8358, 236786, 236778, 236771, 236778, 236812, 236786, 236771, 236810, 236786, 236778, 236828, 236786, 45312, 236772, 141805, 236772, 41413, 11287, 108, 1018, 9272, 50228, 58731, 66515, 107, 236770, 236761, 13948, 506, 9427, 531, 9128, 768, 822, 2460, 740, 124329, 653, 3548, 221418, 107, 236778, 236761, 17526, 4889, 573, 10561, 708, 236789, 201640, 568, 10069, 236768, 659, 5508, 573, 16646, 4301, 6995, 236787, 107, 139, 236772, 14040, 7606, 236787, 236743, 236778, 236778, 237366, 236780, 236764, 216726, 130915, 107, 139, 236772, 236743, 236828, 42310, 236764, 236743, 236812, 189703, 107, 139, 236772, 7578, 13873, 236787, 5711, 236786, 49548, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 496, 3618, 531, 506, 9427, 1003, 672, 39252, 12160, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 12498, 236764, 564, 236789, 236757, 4875, 531, 1586, 784, 506, 3892, 532, 7723, 9624, 12853, 13922, 528, 2876, 43644, 3124, 236761, 3551, 65619, 659, 16270, 2148, 2069, 532, 692, 2462, 6620, 1024, 69852, 236764, 834, 564, 1461, 531, 2731, 496, 4526, 4598, 2101, 496, 2563, 2290, 236761, 3199, 611, 8091, 600, 1262, 1699, 910, 2891, 3393, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25541, 1083, 78493, 10480, 236779, 547, 1083, 623, 12747, 236847, 236770, 236778, 236800, 236812, 236810, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 236780, 236761, 236796, 236761, 76143, 5657, 827, 623, 14968, 1083, 623, 236780, 236761, 236796, 236761, 165687, 23179, 623, 8318, 1083, 3714, 8147, 236779, 53265, 1083, 236743, 236778, 236764, 623, 14968, 236779, 53265, 1083, 236743, 236770, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 10480, 236779, 547, 1083, 623, 12747, 236847, 236770, 236778, 236800, 236812, 236825, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 236780, 236761, 236796, 236761, 30913, 621, 236756, 236771, 236771, 236755, 236770, 829, 535, 37127, 2661, 827, 623, 14968, 1083, 623, 236780, 236761, 236796, 236761, 31080, 80782, 236785, 236756, 236771, 236771, 236760, 236770, 236748, 23179, 623, 8318, 1083, 3714, 8147, 236779, 53265, 1083, 236743, 236771, 236764, 623, 14968, 236779, 53265, 1083, 236743, 236771, 1263, 623, 4818, 1083, 623, 28699, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236778, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 14801, 1083, 623, 4976, 43644, 568, 51774, 22730, 623, 1516, 236779, 4243, 3986, 1111, 236779, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 9624, 12853, 528, 2876, 43644, 568, 51774, 236768, 3124, 236787, 108, 236770, 236761, 5213, 50522, 28253, 1018, 138, 107, 139, 243594, 565, 236761, 236796, 236761, 76143, 5657, 236743, 236778, 753, 236743, 236770, 565, 236761, 236796, 236761, 165687, 138, 107, 139, 249387, 238178, 16187, 56428, 657, 236743, 236825, 236787, 236800, 236771, 8711, 59528, 138, 107, 139, 236769, 16249, 5853, 236787, 17700, 236847, 236770, 236778, 236800, 236812, 236810, 236768, 108, 236778, 236761, 5213, 28898, 28253, 1018, 568, 43623, 5662, 236768, 138, 107, 139, 244351, 565, 236761, 236796, 236761, 30913, 109346, 37127, 2661, 236743, 236771, 753, 236743, 236771, 565, 236761, 236796, 236761, 31080, 80782, 6650, 138, 107, 139, 252074, 751, 29969, 1135, 657, 236743, 236828, 236787, 236812, 236810, 8711, 59528, 138, 107, 139, 236769, 16249, 5853, 236787, 17700, 236847, 236770, 236778, 236800, 236812, 236825, 236768, 108, 38786, 611, 1133, 919, 4889, 1003, 3477, 4241, 568, 236744, 236761, 236759, 1126, 15284, 8283, 236764, 4155, 20673, 236768, 531, 1601, 2731, 822, 4526, 4598, 236881, 669, 3892, 4241, 563, 2036, 14335, 768, 611, 236789, 236753, 5278, 531, 4682, 625, 528, 1759, 236772, 2289, 236888, 236743, 243912, 251111, 106, 107, 105, 2364, 107, 12879, 573, 506, 8283, 236888, 5612, 506, 3892, 4241, 563, 2036, 14335, 236764, 1451, 611, 1161, 506, 4241, 5853, 17700, 236847, 236770, 236778, 236800, 236812, 236825, 531, 12270, 1759, 236772, 2289, 20673, 1133, 17274, 10256, 236764, 5719, 16972, 236764, 532, 2307, 4155, 19575, 236881, 564, 1461, 531, 1281, 768, 672, 2290, 815, 506, 3435, 531, 3291, 496, 63375, 31488, 573, 1023, 4526, 4598, 236761, 6542, 236764, 1451, 611, 2426, 768, 1239, 7974, 735, 1027, 11858, 72990, 600, 2473, 1138, 4481, 43615, 531, 506, 76892, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10480, 236779, 547, 1083, 623, 12747, 236847, 236770, 236778, 236800, 236812, 236825, 827, 623, 4818, 1083, 623, 236770, 236814, 236743, 236778, 236800, 75334, 623, 68925, 1083, 3714, 8147, 1083, 623, 18373, 562, 827, 623, 14968, 1083, 623, 18373, 603, 23179, 623, 8318, 1083, 3714, 8147, 1083, 236743, 236770, 236764, 623, 14968, 1083, 236743, 236770, 1263, 623, 23251, 1083, 3714, 1163, 8494, 1083, 3714, 8147, 1083, 236743, 236810, 236828, 236764, 623, 14968, 1083, 236743, 236812, 236778, 1263, 623, 38494, 236779, 498, 236779, 5654, 1083, 3714, 8147, 1083, 236743, 236812, 236764, 623, 14968, 1083, 236743, 236778, 1263, 623, 38494, 236779, 2865, 236779, 5654, 1083, 3714, 8147, 1083, 236743, 236832, 236764, 623, 14968, 1083, 236743, 236810, 5237, 623, 2478, 236779, 28544, 1083, 3714, 8147, 1083, 3714, 1201, 1083, 623, 12720, 37503, 5806, 827, 623, 53265, 1083, 236743, 236770, 236764, 623, 702, 1954, 1083, 236743, 236771, 1263, 623, 14968, 1083, 3714, 1201, 1083, 623, 10666, 102233, 827, 623, 53265, 1083, 236743, 236771, 236764, 623, 702, 1954, 1083, 236743, 236770, 5237, 623, 11960, 824, 236779, 18308, 1083, 3714, 25541, 236779, 61101, 1083, 236743, 236770, 236828, 236764, 623, 8147, 236779, 76339, 1083, 236743, 236832, 236764, 623, 14968, 236779, 76339, 1083, 236743, 236825, 236764, 623, 6736, 236751, 1083, 236743, 236810, 236764, 623, 2217, 742, 236779, 2078, 11568, 1083, 11058, 236778, 236771, 236778, 236800, 48524, 60788, 6544, 684, 20256, 167049, 827, 623, 236778, 236771, 236778, 236770, 8340, 236772, 18034, 13496, 12861, 10530, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1759, 236772, 2289, 25890, 529, 506, 2876, 43644, 4241, 568, 12747, 236847, 236770, 236778, 236800, 236812, 236825, 236768, 5633, 528, 5609, 236787, 108, 240785, 5213, 8782, 27242, 66515, 236743, 236770, 236772, 236770, 568, 236778, 236800, 236789, 236743, 236770, 540, 35881, 236768, 138, 107, 249772, 5213, 45542, 2570, 66515, 6863, 2434, 568, 236780, 236761, 236796, 236761, 30913, 109346, 37127, 2661, 236768, 236743, 236810, 236828, 236908, 753, 236743, 236812, 236778, 236908, 60918, 568, 236780, 236761, 236796, 236761, 31080, 80782, 6650, 236768, 138, 107, 249439, 5213, 3138, 1498, 66515, 138, 107, 139, 236772, 2154, 23170, 236787, 236743, 236812, 568, 9435, 236768, 7728, 236743, 236778, 568, 83627, 236768, 138, 107, 139, 236772, 5357, 23170, 236787, 236743, 236832, 568, 9435, 236768, 7728, 236743, 236810, 568, 83627, 236768, 138, 108, 242507, 5213, 3503, 41392, 66515, 138, 107, 236772, 5213, 12720, 37503, 5806, 1018, 568, 9435, 1473, 236743, 236770, 55733, 568, 68020, 580, 506, 3905, 15520, 138, 107, 236772, 5213, 10666, 102233, 1018, 568, 83627, 1473, 236743, 236770, 50591, 568, 32321, 506, 17723, 573, 3121, 13120, 236768, 108, 246752, 238178, 5213, 236794, 3396, 824, 10358, 66515, 138, 107, 236772, 236743, 236770, 236828, 12853, 6657, 2558, 138, 107, 236772, 236743, 236832, 6863, 18779, 7728, 236743, 236825, 60918, 18779, 1271, 1401, 20433, 236888, 138, 107, 236772, 5213, 179342, 165731, 66515, 138, 107, 138, 236770, 236761, 236743, 236778, 236771, 236778, 236800, 9274, 2865, 60788, 6544, 684, 20256, 167049, 236743, 247211, 138, 107, 138, 236778, 236761, 236743, 236778, 236771, 236778, 236770, 12861, 28650, 684, 7807, 1271, 2462, 18487, 13721, 236888, 138, 108, 2094, 2290, 815, 784, 506, 13153, 573, 496, 60788, 236888, 3227, 4745, 18779, 41063, 532, 1800, 7974, 3016, 21649, 3649, 236764, 822, 4526, 4598, 2473, 10021, 2264, 9760, 72990, 7312, 236761, 669, 2033, 2434, 236789, 236751, 6495, 7377, 528, 17274, 532, 19034, 12205, 901, 236789, 500, 22224, 573, 13626, 236764, 840, 506, 3121, 2678, 7474, 13588, 580, 46247, 236761, 5315, 3746, 2036, 815, 236743, 236778, 236778, 236862, 4310, 531, 817, 1271, 14304, 506, 35009, 532, 974, 5508, 236888, 236743, 243912, 251111, 244351, 106, 107, 105, 2364, 107, 236775, 12879, 573, 506, 9813, 25890, 1271, 672, 8426, 12054, 1133, 496, 4241, 5367, 3788, 1023, 4598, 2101, 236888, 5612, 1041, 65619, 15074, 2148, 2069, 236764, 1451, 611, 2426, 768, 993, 659, 1027, 5213, 170194, 12853, 1018, 14812, 528, 2876, 43644, 236858, 236751, 1903, 15284, 573, 506, 2148, 236743, 236832, 2668, 1699, 506, 1638, 72990, 7974, 568, 236780, 236761, 236796, 236761, 30913, 109346, 37127, 2661, 653, 565, 236761, 236796, 236761, 31080, 80782, 6650, 20625, 564, 236858, 236753, 2765, 531, 2731, 2101, 2264, 2290, 768, 886, 236858, 236751, 14812, 4949, 236761, 1637, 711, 236764, 7463, 692, 740, 544, 11636, 3124, 236858, 236751, 60788, 607, 4481, 35009, 532, 186965, 506, 18155, 9332, 46260, 5096, 72246, 8319, 236787, 669, 6436, 1186, 1407, 1873, 236772, 1496, 12853, 236764, 834, 506, 12498, 1921, 21332, 16305, 1651, 16977, 11045, 15737, 12016, 106, 107, 105, 4368, 107, 236777, 6269, 3050, 822, 28242, 236888, 20044, 236764, 1041, 1873, 15858, 659, 5809, 531, 5213, 9238, 236772, 2289, 236786, 1643, 1274, 236772, 1496, 4241, 1262, 1186, 1018, 1271, 564, 740, 236858, 236745, 2802, 3402, 30916, 653, 11858, 48531, 236761, 1174, 563, 496, 3364, 26919, 607, 8568, 56918, 236764, 618, 901, 3187, 3213, 580, 3892, 236786, 224494, 4749, 236761, 108, 1018, 8291, 236858, 236751, 1217, 692, 740, 2036, 2731, 496, 1822, 4598, 53121, 107, 236770, 236761, 5213, 54270, 1296, 3124, 236858, 236751, 60788, 66515, 669, 17700, 236847, 236770, 236778, 236800, 236812, 236825, 4241, 568, 68020, 528, 5609, 236768, 795, 4547, 735, 20756, 236786, 500, 45139, 2487, 3209, 20564, 236761, 107, 236778, 236761, 5213, 6845, 20564, 236858, 236751, 1032, 12853, 66515, 564, 740, 1407, 611, 5213, 712, 3892, 236786, 17302, 12853, 528, 2876, 43644, 3124, 1018, 568, 16603, 1032, 15284, 4972, 600, 2473, 14838, 2142, 769, 107, 236800, 236761, 5213, 236794, 3396, 824, 135264, 9690, 66515, 1637, 611, 236858, 236753, 1133, 236764, 564, 740, 2426, 768, 1239, 1156, 7974, 568, 119923, 2661, 7728, 236761, 31080, 80782, 6650, 236768, 735, 1027, 5213, 1538, 14812, 12853, 672, 2069, 1018, 1699, 3124, 236858, 236751, 1262, 1271, 3635, 564, 740, 236858, 236745, 64943, 1131, 2148, 2069, 236858, 236751, 14626, 236761, 108, 46038, 786, 531, 1407, 611, 1032, 1873, 12853, 528, 2876, 43644, 236858, 236751, 1903, 15284, 568, 504, 18475, 236768, 531, 4351, 496, 21609, 2290, 236881, 236743, 244351, 250118, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 12498, 236764, 564, 236789, 236757, 4875, 531, 1586, 784, 506, 3892, 532, 7723, 9624, 12853, 13922, 528, 2876, 43644, 3124, 236761, 3551, 65619, 659, 16270, 2148, 2069, 532, 692, 2462, 6620, 1024, 69852, 236764, 834, 564, 1461, 531, 2731, 496, 4526, 4598, 2101, 496, 2563, 2290, 236761, 3199, 611, 8091, 600, 1262, 1699, 910, 2891, 3393, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25541, 1083, 78493, 10480, 236779, 547, 1083, 623, 12747, 236847, 236770, 236778, 236800, 236812, 236810, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 236780, 236761, 236796, 236761, 76143, 5657, 827, 623, 14968, 1083, 623, 236780, 236761, 236796, 236761, 165687, 23179, 623, 8318, 1083, 3714, 8147, 236779, 53265, 1083, 236743, 236778, 236764, 623, 14968, 236779, 53265, 1083, 236743, 236770, 1263, 623, 4818, 1083, 623, 40812, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 10480, 236779, 547, 1083, 623, 12747, 236847, 236770, 236778, 236800, 236812, 236825, 827, 623, 68925, 1083, 3714, 8147, 1083, 623, 236780, 236761, 236796, 236761, 30913, 621, 236756, 236771, 236771, 236755, 236770, 829, 535, 37127, 2661, 827, 623, 14968, 1083, 623, 236780, 236761, 236796, 236761, 31080, 80782, 236785, 236756, 236771, 236771, 236760, 236770, 236748, 23179, 623, 8318, 1083, 3714, 8147, 236779, 53265, 1083, 236743, 236771, 236764, 623, 14968, 236779, 53265, 1083, 236743, 236771, 1263, 623, 4818, 1083, 623, 28699, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236778, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 14801, 1083, 623, 4976, 43644, 568, 51774, 22730, 623, 1516, 236779, 4243, 3986, 1111, 236779, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 9624, 12853, 528, 2876, 43644, 568, 51774, 236768, 3124, 236787, 108, 236770, 236761, 5213, 50522, 28253, 1018, 138, 107, 139, 243594, 565, 236761, 236796, 236761, 76143, 5657, 236743, 236778, 753, 236743, 236770, 565, 236761, 236796, 236761, 165687, 138, 107, 139, 249387, 238178, 16187, 56428, 657, 236743, 236825, 236787, 236800, 236771, 8711, 59528, 138, 107, 139, 236769, 16249, 5853, 236787, 17700, 236847, 236770, 236778, 236800, 236812, 236810, 236768, 108, 236778, 236761, 5213, 28898, 28253, 1018, 568, 43623, 5662, 236768, 138, 107, 139, 244351, 565, 236761, 236796, 236761, 30913, 109346, 37127, 2661, 236743, 236771, 753, 236743, 236771, 565, 236761, 236796, 236761, 31080, 80782, 6650, 138, 107, 139, 252074, 751, 29969, 1135, 657, 236743, 236828, 236787, 236812, 236810, 8711, 59528, 138, 107, 139, 236769, 16249, 5853, 236787, 17700, 236847, 236770, 236778, 236800, 236812, 236825, 236768, 108, 38786, 611, 1133, 919, 4889, 1003, 3477, 4241, 568, 236744, 236761, 236759, 1126, 15284, 8283, 236764, 4155, 20673, 236768, 531, 1601, 2731, 822, 4526, 4598, 236881, 669, 3892, 4241, 563, 2036, 14335, 768, 611, 236789, 236753, 5278, 531, 4682, 625, 528, 1759, 236772, 2289, 236888, 236743, 243912, 251111, 106, 107, 105, 2364, 107, 12879, 573, 506, 8283, 236888, 5612, 506, 3892, 4241, 563, 2036, 14335, 236764, 1451, 611, 1161, 506, 4241, 5853, 17700, 236847, 236770, 236778, 236800, 236812, 236825, 531, 12270, 1759, 236772, 2289, 20673, 1133, 17274, 10256, 236764, 5719, 16972, 236764, 532, 2307, 4155, 19575, 236881, 564, 1461, 531, 1281, 768, 672, 2290, 815, 506, 3435, 531, 3291, 496, 63375, 31488, 573, 1023, 4526, 4598, 236761, 6542, 236764, 1451, 611, 2426, 768, 1239, 7974, 735, 1027, 11858, 72990, 600, 2473, 1138, 4481, 43615, 531, 506, 76892, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10480, 236779, 547, 1083, 623, 12747, 236847, 236770, 236778, 236800, 236812, 236825, 827, 623, 4818, 1083, 623, 236770, 236814, 236743, 236778, 236800, 75334, 623, 68925, 1083, 3714, 8147, 1083, 623, 18373, 562, 827, 623, 14968, 1083, 623, 18373, 603, 23179, 623, 8318, 1083, 3714, 8147, 1083, 236743, 236770, 236764, 623, 14968, 1083, 236743, 236770, 1263, 623, 23251, 1083, 3714, 1163, 8494, 1083, 3714, 8147, 1083, 236743, 236810, 236828, 236764, 623, 14968, 1083, 236743, 236812, 236778, 1263, 623, 38494, 236779, 498, 236779, 5654, 1083, 3714, 8147, 1083, 236743, 236812, 236764, 623, 14968, 1083, 236743, 236778, 1263, 623, 38494, 236779, 2865, 236779, 5654, 1083, 3714, 8147, 1083, 236743, 236832, 236764, 623, 14968, 1083, 236743, 236810, 5237, 623, 2478, 236779, 28544, 1083, 3714, 8147, 1083, 3714, 1201, 1083, 623, 12720, 37503, 5806, 827, 623, 53265, 1083, 236743, 236770, 236764, 623, 702, 1954, 1083, 236743, 236771, 1263, 623, 14968, 1083, 3714, 1201, 1083, 623, 10666, 102233, 827, 623, 53265, 1083, 236743, 236771, 236764, 623, 702, 1954, 1083, 236743, 236770, 5237, 623, 11960, 824, 236779, 18308, 1083, 3714, 25541, 236779, 61101, 1083, 236743, 236770, 236828, 236764, 623, 8147, 236779, 76339, 1083, 236743, 236832, 236764, 623, 14968, 236779, 76339, 1083, 236743, 236825, 236764, 623, 6736, 236751, 1083, 236743, 236810, 236764, 623, 2217, 742, 236779, 2078, 11568, 1083, 11058, 236778, 236771, 236778, 236800, 48524, 60788, 6544, 684, 20256, 167049, 827, 623, 236778, 236771, 236778, 236770, 8340, 236772, 18034, 13496, 12861, 10530, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1759, 236772, 2289, 25890, 529, 506, 2876, 43644, 4241, 568, 12747, 236847, 236770, 236778, 236800, 236812, 236825, 236768, 5633, 528, 5609, 236787, 108, 240785, 5213, 8782, 27242, 66515, 236743, 236770, 236772, 236770, 568, 236778, 236800, 236789, 236743, 236770, 540, 35881, 236768, 138, 107, 249772, 5213, 45542, 2570, 66515, 6863, 2434, 568, 236780, 236761, 236796, 236761, 30913, 109346, 37127, 2661, 236768, 236743, 236810, 236828, 236908, 753, 236743, 236812, 236778, 236908, 60918, 568, 236780, 236761, 236796, 236761, 31080, 80782, 6650, 236768, 138, 107, 249439, 5213, 3138, 1498, 66515, 138, 107, 139, 236772, 2154, 23170, 236787, 236743, 236812, 568, 9435, 236768, 7728, 236743, 236778, 568, 83627, 236768, 138, 107, 139, 236772, 5357, 23170, 236787, 236743, 236832, 568, 9435, 236768, 7728, 236743, 236810, 568, 83627, 236768, 138, 108, 242507, 5213, 3503, 41392, 66515, 138, 107, 236772, 5213, 12720, 37503, 5806, 1018, 568, 9435, 1473, 236743, 236770, 55733, 568, 68020, 580, 506, 3905, 15520, 138, 107, 236772, 5213, 10666, 102233, 1018, 568, 83627, 1473, 236743, 236770, 50591, 568, 32321, 506, 17723, 573, 3121, 13120, 236768, 108, 246752, 238178, 5213, 236794, 3396, 824, 10358, 66515, 138, 107, 236772, 236743, 236770, 236828, 12853, 6657, 2558, 138, 107, 236772, 236743, 236832, 6863, 18779, 7728, 236743, 236825, 60918, 18779, 1271, 1401, 20433, 236888, 138, 107, 236772, 5213, 179342, 165731, 66515, 138, 107, 138, 236770, 236761, 236743, 236778, 236771, 236778, 236800, 9274, 2865, 60788, 6544, 684, 20256, 167049, 236743, 247211, 138, 107, 138, 236778, 236761, 236743, 236778, 236771, 236778, 236770, 12861, 28650, 684, 7807, 1271, 2462, 18487, 13721, 236888, 138, 108, 2094, 2290, 815, 784, 506, 13153, 573, 496, 60788, 236888, 3227, 4745, 18779, 41063, 532, 1800, 7974, 3016, 21649, 3649, 236764, 822, 4526, 4598, 2473, 10021, 2264, 9760, 72990, 7312, 236761, 669, 2033, 2434, 236789, 236751, 6495, 7377, 528, 17274, 532, 19034, 12205, 901, 236789, 500, 22224, 573, 13626, 236764, 840, 506, 3121, 2678, 7474, 13588, 580, 46247, 236761, 5315, 3746, 2036, 815, 236743, 236778, 236778, 236862, 4310, 531, 817, 1271, 14304, 506, 35009, 532, 974, 5508, 236888, 236743, 243912, 251111, 244351, 106, 107, 105, 2364, 107, 236775, 12879, 573, 506, 9813, 25890, 1271, 672, 8426, 12054, 1133, 496, 4241, 5367, 3788, 1023, 4598, 2101, 236888, 5612, 1041, 65619, 15074, 2148, 2069, 236764, 1451, 611, 2426, 768, 993, 659, 1027, 5213, 170194, 12853, 1018, 14812, 528, 2876, 43644, 236858, 236751, 1903, 15284, 573, 506, 2148, 236743, 236832, 2668, 1699, 506, 1638, 72990, 7974, 568, 236780, 236761, 236796, 236761, 30913, 109346, 37127, 2661, 653, 565, 236761, 236796, 236761, 31080, 80782, 6650, 20625, 564, 236858, 236753, 2765, 531, 2731, 2101, 2264, 2290, 768, 886, 236858, 236751, 14812, 4949, 236761, 1637, 711, 236764, 7463, 692, 740, 544, 11636, 3124, 236858, 236751, 60788, 607, 4481, 35009, 532, 186965, 506, 18155, 9332, 46260, 5096, 72246, 8319, 236787, 669, 6436, 1186, 1407, 1873, 236772, 1496, 12853, 236764, 834, 506, 12498, 1921, 21332, 16305, 1651, 16977, 11045, 15737, 12016, 106, 107, 105, 4368, 107, 236777, 6269, 3050, 822, 28242, 236888, 20044, 236764, 1041, 1873, 15858, 659, 5809, 531, 5213, 9238, 236772, 2289, 236786, 1643, 1274, 236772, 1496, 4241, 1262, 1186, 1018, 1271, 564, 740, 236858, 236745, 2802, 3402, 30916, 653, 11858, 48531, 236761, 1174, 563, 496, 3364, 26919, 607, 8568, 56918, 236764, 618, 901, 3187, 3213, 580, 3892, 236786, 224494, 4749, 236761, 108, 1018, 8291, 236858, 236751, 1217, 692, 740, 2036, 2731, 496, 1822, 4598, 53121, 107, 236770, 236761, 5213, 54270, 1296, 3124, 236858, 236751, 60788, 66515, 669, 17700, 236847, 236770, 236778, 236800, 236812, 236825, 4241, 568, 68020, 528, 5609, 236768, 795, 4547, 735, 20756, 236786, 500, 45139, 2487, 3209, 20564, 236761, 107, 236778, 236761, 5213, 6845, 20564, 236858, 236751, 1032, 12853, 66515, 564, 740, 1407, 611, 5213, 712, 3892, 236786, 17302, 12853, 528, 2876, 43644, 3124, 1018, 568, 16603, 1032, 15284, 4972, 600, 2473, 14838, 2142, 769, 107, 236800, 236761, 5213, 236794, 3396, 824, 135264, 9690, 66515, 1637, 611, 236858, 236753, 1133, 236764, 564, 740, 2426, 768, 1239, 1156, 7974, 568, 119923, 2661, 7728, 236761, 31080, 80782, 6650, 236768, 735, 1027, 5213, 1538, 14812, 12853, 672, 2069, 1018, 1699, 3124, 236858, 236751, 1262, 1271, 3635, 564, 740, 236858, 236745, 64943, 1131, 2148, 2069, 236858, 236751, 14626, 236761, 108, 46038, 786, 531, 1407, 611, 1032, 1873, 12853, 528, 2876, 43644, 236858, 236751, 1903, 15284, 568, 504, 18475, 236768, 531, 4351, 496, 21609, 2290, 236881, 236743, 244351, 250118, 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, 201585, 496, 3670, 20104, 528, 45867, 532, 1202, 531, 16807, 506, 4453, 31204, 236862, 236812, 3393, 573, 236743, 236778, 236828, 236810, 236771, 236770, 236810, 236810, 236810, 236810, 6400, 842, 568, 1437, 4430, 3847, 672, 11409, 20058, 769, 28344, 611, 1161, 506, 88451, 236779, 15905, 38548, 236779, 15905, 236812, 5904, 607, 506, 9299, 2307, 13334, 236770, 236778, 236800, 56660, 531, 974, 506, 2587, 31204, 236862, 236812, 236881, 1174, 795, 5330, 506, 20104, 236789, 236751, 3421, 563, 13275, 45047, 573, 506, 92170, 1458, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 78493, 15905, 3970, 1083, 623, 236778, 236828, 236810, 236771, 236770, 236772, 236810, 236810, 236810, 236810, 827, 623, 13319, 1083, 623, 204569, 827, 623, 3255, 1083, 623, 10284, 827, 623, 7720, 236779, 2084, 1083, 623, 74253, 827, 623, 81907, 236779, 3947, 236779, 21862, 1083, 1847, 165075, 106, 107, 105, 4368, 107, 818, 88451, 236779, 15905, 38548, 236779, 15905, 236812, 5904, 8323, 506, 2269, 27662, 31204, 236862, 236812, 3393, 573, 506, 3421, 528, 45867, 236787, 108, 1018, 92824, 236862, 236812, 8739, 53121, 236743, 236778, 236828, 236810, 236771, 236770, 236772, 236810, 236810, 236810, 236810, 138, 107, 1018, 17698, 53121, 45867, 138, 107, 1018, 3112, 53121, 23316, 138, 107, 1018, 9604, 9250, 53121, 29116, 138, 107, 1018, 65787, 10654, 30638, 53121, 8438, 138, 108, 2094, 44526, 65911, 236862, 236812, 3393, 563, 1492, 5508, 573, 1161, 528, 822, 92170, 20104, 531, 5330, 2005, 3421, 53892, 532, 10658, 8341, 28250, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 201585, 496, 3670, 20104, 528, 45867, 532, 1202, 531, 16807, 506, 4453, 31204, 236862, 236812, 3393, 573, 236743, 236778, 236828, 236810, 236771, 236770, 236810, 236810, 236810, 236810, 6400, 842, 568, 1437, 4430, 3847, 672, 11409, 20058, 769, 28344, 611, 1161, 506, 88451, 236779, 15905, 38548, 236779, 15905, 236812, 5904, 607, 506, 9299, 2307, 13334, 236770, 236778, 236800, 56660, 531, 974, 506, 2587, 31204, 236862, 236812, 236881, 1174, 795, 5330, 506, 20104, 236789, 236751, 3421, 563, 13275, 45047, 573, 506, 92170, 1458, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 78493, 15905, 3970, 1083, 623, 236778, 236828, 236810, 236771, 236770, 236772, 236810, 236810, 236810, 236810, 827, 623, 13319, 1083, 623, 204569, 827, 623, 3255, 1083, 623, 10284, 827, 623, 7720, 236779, 2084, 1083, 623, 74253, 827, 623, 81907, 236779, 3947, 236779, 21862, 1083, 1847, 165075, 106, 107, 105, 4368, 107, 818, 88451, 236779, 15905, 38548, 236779, 15905, 236812, 5904, 8323, 506, 2269, 27662, 31204, 236862, 236812, 3393, 573, 506, 3421, 528, 45867, 236787, 108, 1018, 92824, 236862, 236812, 8739, 53121, 236743, 236778, 236828, 236810, 236771, 236770, 236772, 236810, 236810, 236810, 236810, 138, 107, 1018, 17698, 53121, 45867, 138, 107, 1018, 3112, 53121, 23316, 138, 107, 1018, 9604, 9250, 53121, 29116, 138, 107, 1018, 65787, 10654, 30638, 53121, 8438, 138, 108, 2094, 44526, 65911, 236862, 236812, 3393, 563, 1492, 5508, 573, 1161, 528, 822, 92170, 20104, 531, 5330, 2005, 3421, 53892, 532, 10658, 8341, 28250, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 496, 7946, 531, 8835, 496, 9654, 529, 54710, 18006, 528, 7383, 13245, 2148, 2297, 236761, 3792, 786, 1281, 506, 6555, 611, 236789, 859, 1769, 531, 30493, 672, 236764, 2440, 8217, 41819, 236764, 8341, 529, 1041, 18612, 13290, 236764, 532, 1027, 1032, 7798, 33972, 236761, 9187, 684, 16329, 506, 18006, 4889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30400, 30353, 1083, 78493, 50001, 236779, 547, 1083, 623, 11319, 236917, 236778, 236771, 236778, 236810, 827, 623, 1201, 1083, 623, 18939, 13245, 9654, 132233, 236743, 236778, 236771, 236778, 236810, 827, 623, 7125, 1083, 623, 18939, 13245, 28914, 6022, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236832, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 155759, 236779, 11138, 1083, 6610, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 827, 623, 68925, 1083, 11058, 18373, 44094, 827, 623, 50068, 2138, 827, 623, 21723, 236819, 827, 623, 18373, 43353, 41210, 1935, 165075, 106, 107, 105, 4368, 107, 2021, 30493, 822, 7946, 531, 506, 5213, 18939, 13245, 9654, 132233, 236743, 236778, 236771, 236778, 236810, 1018, 568, 27403, 236743, 236770, 236810, 236964, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 779, 1590, 236858, 236751, 506, 2731, 236787, 108, 7243, 108, 10354, 5213, 5471, 236743, 236770, 236787, 64063, 51544, 20303, 1018, 107, 236772, 5213, 201163, 66515, 7383, 13245, 9654, 132233, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 6375, 66515, 7383, 13245, 28914, 6022, 138, 107, 236772, 5213, 48995, 66515, 5142, 236743, 236770, 236810, 568, 236819, 236787, 236771, 236771, 8151, 91591, 236768, 1271, 5142, 236743, 236770, 236828, 568, 236810, 236787, 236771, 236771, 8711, 91591, 236768, 138, 107, 236772, 5213, 73940, 1934, 34401, 66515, 609, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 62627, 66515, 10765, 44094, 236764, 125698, 2138, 236764, 16215, 236819, 236764, 10765, 43353, 41210, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236778, 236787, 12825, 93980, 1018, 138, 107, 236777, 236858, 859, 18151, 496, 2978, 573, 5142, 236743, 236770, 236810, 236964, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 2282, 7162, 236764, 564, 1202, 236787, 138, 107, 236770, 236761, 5180, 12373, 5213, 3352, 1722, 1018, 568, 236744, 236761, 236759, 1126, 4077, 236764, 71541, 769, 138, 107, 236778, 236761, 5180, 5213, 65908, 5853, 1018, 568, 584, 2487, 769, 138, 107, 236800, 236761, 562, 5213, 181580, 3393, 1018, 568, 584, 11955, 769, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236800, 236787, 67023, 41302, 45240, 531, 7383, 13245, 1018, 138, 107, 2021, 9279, 8341, 5384, 236764, 564, 1202, 236787, 138, 107, 236770, 236761, 669, 5213, 6078, 1018, 529, 822, 18612, 13290, 568, 7022, 769, 138, 107, 236778, 236761, 5180, 12373, 5213, 81907, 5086, 1018, 568, 23771, 236786, 12443, 769, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236812, 236787, 7067, 74812, 1018, 138, 107, 236772, 5213, 126637, 66515, 7179, 22344, 653, 2263, 28048, 3835, 568, 2217, 7438, 684, 6436, 769, 138, 107, 236772, 5213, 131020, 23614, 66515, 7383, 13245, 28914, 6022, 3421, 532, 7234, 4889, 568, 4881, 577, 7659, 3622, 10778, 769, 138, 108, 7243, 108, 1018, 9272, 50228, 66515, 39525, 506, 9724, 4889, 573, 506, 8217, 33391, 532, 8341, 14988, 236761, 106, 107, 105, 2364, 107, 133422, 496, 4077, 2978, 1208, 1041, 1463, 236764, 9699, 172103, 15894, 236761, 6890, 38801, 3393, 667, 57779, 236778, 236771, 236778, 236810, 236761, 1701, 8341, 236764, 1041, 13290, 51494, 236743, 236770, 236778, 7022, 532, 564, 1461, 3821, 12631, 236761, 3792, 236858, 236751, 96820, 1239, 52246, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 97990, 236779, 547, 1083, 623, 4080, 236798, 236812, 236810, 236825, 236832, 236828, 827, 623, 4818, 1083, 623, 87877, 827, 623, 58657, 236779, 1201, 1083, 623, 14796, 3370, 36770, 12825, 827, 623, 4256, 495, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 71733, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 3352, 236779, 2084, 1083, 623, 23771, 827, 623, 6725, 236779, 13769, 1083, 236743, 236825, 236800, 236771, 236764, 623, 181580, 236779, 3970, 236779, 103411, 1083, 623, 8809, 46570, 236778, 236771, 236778, 236810, 827, 623, 65908, 236779, 547, 1083, 623, 57667, 172103, 15894, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 81907, 236779, 13769, 1083, 236743, 236778, 236810, 236761, 236810, 236764, 623, 81907, 236779, 2289, 1083, 623, 236778, 2668, 827, 623, 81907, 236779, 4485, 1083, 623, 12443, 827, 623, 104094, 236779, 5640, 1083, 623, 30455, 25291, 236772, 236828, 236828, 236778, 236770, 25938, 106, 107, 105, 4368, 107, 10354, 5213, 69249, 25252, 573, 7383, 13245, 9654, 132233, 236743, 236778, 236771, 236778, 236810, 1018, 138, 108, 2595, 5213, 201163, 20303, 1018, 138, 107, 236772, 5213, 48995, 66515, 5142, 236743, 236770, 236810, 236964, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 6375, 66515, 7383, 13245, 28914, 6022, 138, 107, 236772, 5213, 62627, 4152, 6683, 66515, 10765, 44094, 236764, 125698, 2138, 236764, 16215, 236819, 236764, 10765, 43353, 41210, 138, 108, 7243, 108, 2595, 5213, 54347, 93980, 1018, 138, 107, 236772, 5213, 54347, 66515, 129172, 36770, 12825, 138, 107, 236772, 5213, 27325, 9250, 66515, 13029, 138, 107, 236772, 5213, 6845, 236772, 902, 66515, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 6845, 236772, 3949, 66515, 5142, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 195608, 8739, 32229, 66515, 667, 57779, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 9640, 11117, 66515, 609, 236825, 236800, 236771, 138, 107, 236772, 5213, 106646, 5853, 66515, 9794, 236798, 236812, 236810, 236825, 236832, 236828, 138, 108, 7243, 108, 2595, 5213, 138312, 45240, 33431, 1018, 138, 107, 236772, 5213, 17115, 66515, 236743, 236770, 236778, 11944, 138, 107, 236772, 5213, 65787, 19993, 66515, 17734, 138, 107, 236772, 5213, 23077, 66515, 609, 236778, 236810, 236761, 236810, 236771, 138, 107, 236772, 5213, 65787, 7578, 66515, 236743, 236778, 2668, 568, 516, 38562, 684, 5142, 236743, 236770, 236832, 236768, 138, 107, 236772, 5213, 114225, 9661, 66515, 40312, 25291, 236772, 236828, 236828, 236778, 236770, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236770, 236761, 5213, 126637, 66515, 7167, 22344, 531, 7383, 13245, 568, 2217, 5012, 528, 5904, 1025, 769, 138, 107, 236778, 236761, 5213, 131020, 74812, 66515, 7179, 506, 24638, 3988, 236858, 236751, 3421, 532, 7234, 6035, 12532, 531, 506, 3433, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 236743, 246519, 244710, 238178, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 496, 7946, 531, 8835, 496, 9654, 529, 54710, 18006, 528, 7383, 13245, 2148, 2297, 236761, 3792, 786, 1281, 506, 6555, 611, 236789, 859, 1769, 531, 30493, 672, 236764, 2440, 8217, 41819, 236764, 8341, 529, 1041, 18612, 13290, 236764, 532, 1027, 1032, 7798, 33972, 236761, 9187, 684, 16329, 506, 18006, 4889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 30400, 30353, 1083, 78493, 50001, 236779, 547, 1083, 623, 11319, 236917, 236778, 236771, 236778, 236810, 827, 623, 1201, 1083, 623, 18939, 13245, 9654, 132233, 236743, 236778, 236771, 236778, 236810, 827, 623, 7125, 1083, 623, 18939, 13245, 28914, 6022, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236832, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 155759, 236779, 11138, 1083, 6610, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 827, 623, 68925, 1083, 11058, 18373, 44094, 827, 623, 50068, 2138, 827, 623, 21723, 236819, 827, 623, 18373, 43353, 41210, 1935, 165075, 106, 107, 105, 4368, 107, 2021, 30493, 822, 7946, 531, 506, 5213, 18939, 13245, 9654, 132233, 236743, 236778, 236771, 236778, 236810, 1018, 568, 27403, 236743, 236770, 236810, 236964, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 779, 1590, 236858, 236751, 506, 2731, 236787, 108, 7243, 108, 10354, 5213, 5471, 236743, 236770, 236787, 64063, 51544, 20303, 1018, 107, 236772, 5213, 201163, 66515, 7383, 13245, 9654, 132233, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 6375, 66515, 7383, 13245, 28914, 6022, 138, 107, 236772, 5213, 48995, 66515, 5142, 236743, 236770, 236810, 568, 236819, 236787, 236771, 236771, 8151, 91591, 236768, 1271, 5142, 236743, 236770, 236828, 568, 236810, 236787, 236771, 236771, 8711, 91591, 236768, 138, 107, 236772, 5213, 73940, 1934, 34401, 66515, 609, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 62627, 66515, 10765, 44094, 236764, 125698, 2138, 236764, 16215, 236819, 236764, 10765, 43353, 41210, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236778, 236787, 12825, 93980, 1018, 138, 107, 236777, 236858, 859, 18151, 496, 2978, 573, 5142, 236743, 236770, 236810, 236964, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 236761, 2282, 7162, 236764, 564, 1202, 236787, 138, 107, 236770, 236761, 5180, 12373, 5213, 3352, 1722, 1018, 568, 236744, 236761, 236759, 1126, 4077, 236764, 71541, 769, 138, 107, 236778, 236761, 5180, 5213, 65908, 5853, 1018, 568, 584, 2487, 769, 138, 107, 236800, 236761, 562, 5213, 181580, 3393, 1018, 568, 584, 11955, 769, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236800, 236787, 67023, 41302, 45240, 531, 7383, 13245, 1018, 138, 107, 2021, 9279, 8341, 5384, 236764, 564, 1202, 236787, 138, 107, 236770, 236761, 669, 5213, 6078, 1018, 529, 822, 18612, 13290, 568, 7022, 769, 138, 107, 236778, 236761, 5180, 12373, 5213, 81907, 5086, 1018, 568, 23771, 236786, 12443, 769, 138, 108, 7243, 108, 10354, 5213, 5471, 236743, 236812, 236787, 7067, 74812, 1018, 138, 107, 236772, 5213, 126637, 66515, 7179, 22344, 653, 2263, 28048, 3835, 568, 2217, 7438, 684, 6436, 769, 138, 107, 236772, 5213, 131020, 23614, 66515, 7383, 13245, 28914, 6022, 3421, 532, 7234, 4889, 568, 4881, 577, 7659, 3622, 10778, 769, 138, 108, 7243, 108, 1018, 9272, 50228, 66515, 39525, 506, 9724, 4889, 573, 506, 8217, 33391, 532, 8341, 14988, 236761, 106, 107, 105, 2364, 107, 133422, 496, 4077, 2978, 1208, 1041, 1463, 236764, 9699, 172103, 15894, 236761, 6890, 38801, 3393, 667, 57779, 236778, 236771, 236778, 236810, 236761, 1701, 8341, 236764, 1041, 13290, 51494, 236743, 236770, 236778, 7022, 532, 564, 1461, 3821, 12631, 236761, 3792, 236858, 236751, 96820, 1239, 52246, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 97990, 236779, 547, 1083, 623, 4080, 236798, 236812, 236810, 236825, 236832, 236828, 827, 623, 4818, 1083, 623, 87877, 827, 623, 58657, 236779, 1201, 1083, 623, 14796, 3370, 36770, 12825, 827, 623, 4256, 495, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 71733, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 3352, 236779, 2084, 1083, 623, 23771, 827, 623, 6725, 236779, 13769, 1083, 236743, 236825, 236800, 236771, 236764, 623, 181580, 236779, 3970, 236779, 103411, 1083, 623, 8809, 46570, 236778, 236771, 236778, 236810, 827, 623, 65908, 236779, 547, 1083, 623, 57667, 172103, 15894, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 81907, 236779, 13769, 1083, 236743, 236778, 236810, 236761, 236810, 236764, 623, 81907, 236779, 2289, 1083, 623, 236778, 2668, 827, 623, 81907, 236779, 4485, 1083, 623, 12443, 827, 623, 104094, 236779, 5640, 1083, 623, 30455, 25291, 236772, 236828, 236828, 236778, 236770, 25938, 106, 107, 105, 4368, 107, 10354, 5213, 69249, 25252, 573, 7383, 13245, 9654, 132233, 236743, 236778, 236771, 236778, 236810, 1018, 138, 108, 2595, 5213, 201163, 20303, 1018, 138, 107, 236772, 5213, 48995, 66515, 5142, 236743, 236770, 236810, 236964, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 6375, 66515, 7383, 13245, 28914, 6022, 138, 107, 236772, 5213, 62627, 4152, 6683, 66515, 10765, 44094, 236764, 125698, 2138, 236764, 16215, 236819, 236764, 10765, 43353, 41210, 138, 108, 7243, 108, 2595, 5213, 54347, 93980, 1018, 138, 107, 236772, 5213, 54347, 66515, 129172, 36770, 12825, 138, 107, 236772, 5213, 27325, 9250, 66515, 13029, 138, 107, 236772, 5213, 6845, 236772, 902, 66515, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 6845, 236772, 3949, 66515, 5142, 236743, 236770, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 195608, 8739, 32229, 66515, 667, 57779, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 9640, 11117, 66515, 609, 236825, 236800, 236771, 138, 107, 236772, 5213, 106646, 5853, 66515, 9794, 236798, 236812, 236810, 236825, 236832, 236828, 138, 108, 7243, 108, 2595, 5213, 138312, 45240, 33431, 1018, 138, 107, 236772, 5213, 17115, 66515, 236743, 236770, 236778, 11944, 138, 107, 236772, 5213, 65787, 19993, 66515, 17734, 138, 107, 236772, 5213, 23077, 66515, 609, 236778, 236810, 236761, 236810, 236771, 138, 107, 236772, 5213, 65787, 7578, 66515, 236743, 236778, 2668, 568, 516, 38562, 684, 5142, 236743, 236770, 236832, 236768, 138, 107, 236772, 5213, 114225, 9661, 66515, 40312, 25291, 236772, 236828, 236828, 236778, 236770, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 236770, 236761, 5213, 126637, 66515, 7167, 22344, 531, 7383, 13245, 568, 2217, 5012, 528, 5904, 1025, 769, 138, 107, 236778, 236761, 5213, 131020, 74812, 66515, 7179, 506, 24638, 3988, 236858, 236751, 3421, 532, 7234, 6035, 12532, 531, 506, 3433, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 236743, 246519, 244710, 238178, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 8178, 496, 3103, 1679, 236761, 3199, 611, 3442, 786, 496, 31481, 531, 24047, 786, 872, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 176253, 1083, 623, 11355, 1537, 236789, 236745, 16225, 5210, 14514, 236881, 8468, 901, 1386, 872, 4326, 9332, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31481, 531, 106744, 822, 1719, 236888, 103453, 108, 1018, 199394, 53121, 138, 107, 236775, 11355, 1537, 236789, 236745, 16225, 5210, 14514, 236881, 8468, 901, 1386, 872, 4326, 9332, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 2264, 886, 653, 1202, 4658, 1663, 236888, 236743, 242507, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 8178, 496, 3103, 1679, 236761, 3199, 611, 3442, 786, 496, 31481, 531, 24047, 786, 872, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 176253, 1083, 623, 11355, 1537, 236789, 236745, 16225, 5210, 14514, 236881, 8468, 901, 1386, 872, 4326, 9332, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31481, 531, 106744, 822, 1719, 236888, 103453, 108, 1018, 199394, 53121, 138, 107, 236775, 11355, 1537, 236789, 236745, 16225, 5210, 14514, 236881, 8468, 901, 1386, 872, 4326, 9332, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 2264, 886, 653, 1202, 4658, 1663, 236888, 236743, 242507, 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, 822, 1601, 8159, 496, 5395, 2557, 528, 44030, 573, 1041, 2260, 5975, 236761, 1191, 236789, 500, 24048, 1491, 3509, 3579, 1203, 21852, 8759, 236789, 236751, 808, 37107, 58865, 43246, 90780, 3803, 236829, 2148, 2297, 236764, 532, 564, 1461, 496, 37066, 2978, 600, 17823, 236743, 236770, 236771, 1331, 236761, 3199, 611, 2426, 506, 22479, 1458, 573, 9952, 2487, 580, 506, 1171, 9863, 657, 236743, 236832, 8711, 236881, 46745, 3298, 768, 625, 815, 496, 111892, 573, 1023, 26448, 3671, 532, 496, 68085, 531, 1407, 4876, 529, 110213, 6914, 236761, 3551, 4690, 2765, 3995, 714, 48702, 236764, 834, 7463, 692, 236789, 859, 3437, 35009, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 547, 1083, 623, 9512, 236772, 236810, 236771, 236778, 827, 623, 1201, 1083, 623, 174429, 18120, 236743, 236810, 236799, 827, 623, 2084, 1083, 623, 49540, 236779, 3352, 827, 623, 48578, 1083, 236743, 236770, 236778, 236764, 623, 7125, 1083, 623, 236800, 7221, 40126, 236764, 44030, 16087, 827, 623, 22860, 1236, 1083, 11058, 7986, 3147, 827, 623, 6201, 504, 827, 623, 12238, 697, 6651, 14255, 623, 56905, 1083, 3714, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 18700, 23179, 623, 16518, 1083, 3714, 1364, 2946, 236779, 561, 1194, 1083, 1847, 236764, 623, 23014, 236779, 3223, 1083, 2416, 236764, 623, 25491, 11958, 1083, 1847, 5237, 3714, 547, 1083, 623, 9512, 236772, 236800, 236770, 236810, 827, 623, 1201, 1083, 623, 236788, 18512, 6914, 646, 875, 827, 623, 2084, 1083, 623, 49540, 236779, 3352, 827, 623, 48578, 1083, 236743, 236770, 236771, 236764, 623, 7125, 1083, 623, 13060, 1155, 236764, 44030, 16087, 827, 623, 22860, 1236, 1083, 11058, 7986, 3147, 827, 623, 6201, 504, 827, 623, 46116, 236779, 41213, 14255, 623, 56905, 1083, 3714, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 18700, 23179, 623, 16518, 1083, 3714, 1364, 2946, 236779, 561, 1194, 1083, 1847, 236764, 623, 23014, 236779, 3223, 1083, 1847, 236764, 623, 25491, 11958, 1083, 2416, 1807, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 1582, 236779, 2084, 1083, 623, 49540, 236779, 3352, 827, 623, 48578, 1083, 236743, 236770, 236771, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1156, 4011, 9952, 573, 822, 2260, 5975, 8699, 236787, 108, 236770, 236761, 5213, 174429, 18120, 236743, 236810, 236799, 1018, 138, 107, 139, 236772, 5213, 82502, 53121, 236743, 236770, 236778, 568, 27909, 2557, 573, 35009, 15520, 138, 107, 139, 236772, 5213, 6375, 53121, 236743, 236800, 7221, 40126, 236764, 44030, 16087, 138, 107, 139, 236772, 5213, 200017, 53121, 7286, 3147, 236764, 68085, 236764, 34038, 6651, 138, 107, 139, 236772, 5213, 27144, 53121, 121590, 33398, 236764, 5057, 11958, 568, 63914, 573, 10317, 18701, 779, 951, 3756, 2214, 138, 107, 139, 236772, 5213, 61192, 53121, 669, 34038, 6651, 1451, 577, 4011, 573, 822, 3995, 714, 48702, 532, 1032, 32761, 236888, 108, 236778, 236761, 5213, 236788, 18512, 6914, 646, 875, 1018, 138, 107, 139, 236772, 5213, 82502, 53121, 236743, 236770, 236771, 568, 67655, 4691, 15520, 138, 107, 139, 236772, 5213, 6375, 53121, 205552, 236764, 44030, 16087, 138, 107, 139, 236772, 5213, 200017, 53121, 7286, 3147, 236764, 68085, 236764, 7681, 5464, 138, 107, 139, 236772, 5213, 27144, 53121, 14795, 2214, 236764, 37066, 33398, 236764, 840, 711, 5057, 11958, 138, 107, 139, 236772, 5213, 61192, 53121, 14795, 2214, 2473, 2619, 496, 6962, 86691, 573, 822, 5395, 236761, 138, 108, 22186, 11630, 659, 2487, 699, 5213, 236832, 8711, 531, 236743, 236819, 8711, 580, 9863, 236764, 5365, 236743, 236778, 523, 1018, 532, 2874, 784, 822, 6035, 236761, 21284, 611, 1133, 531, 2260, 886, 529, 1239, 9952, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 4889, 236888, 3792, 236789, 236751, 817, 607, 44030, 18120, 236743, 236810, 236799, 2338, 506, 5057, 162440, 795, 1601, 775, 3213, 580, 32187, 4179, 703, 236789, 236751, 9338, 236761, 564, 14275, 13637, 2978, 6950, 496, 39791, 573, 10264, 19060, 7445, 237028, 46052, 611, 2426, 768, 993, 236858, 236751, 2264, 2557, 2487, 600, 5132, 496, 41839, 653, 35471, 236881, 564, 236858, 236753, 2765, 531, 735, 9380, 11115, 532, 1360, 7814, 1399, 16195, 506, 3995, 714, 48702, 236888, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 63158, 237028, 700, 22479, 1458, 5633, 4038, 236789, 236745, 3204, 18774, 573, 8351, 31087, 1133, 142006, 653, 189407, 528, 1061, 141778, 6137, 236761, 669, 2487, 5904, 1186, 5862, 35129, 684, 6541, 236764, 15830, 236764, 4188, 1722, 236764, 532, 6079, 37007, 236761, 236743, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 101685, 607, 22479, 5213, 174429, 18120, 236743, 236810, 236799, 1018, 568, 25491, 11958, 236764, 111892, 236764, 68085, 236764, 532, 34038, 6651, 779, 653, 138, 107, 236778, 236761, 7179, 768, 1027, 1032, 5395, 11630, 607, 623, 93420, 236775, 528, 910, 1463, 653, 6492, 2473, 8816, 822, 3548, 1699, 496, 25898, 3927, 236881, 138, 108, 93446, 236764, 611, 2473, 1461, 531, 3662, 506, 44030, 16087, 7616, 5467, 531, 9128, 768, 3477, 2978, 815, 2802, 531, 7659, 8351, 8848, 573, 34359, 19060, 653, 12674, 35009, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 7162, 607, 22479, 5213, 174429, 18120, 236743, 236810, 236799, 1018, 237028, 1437, 5057, 162440, 563, 5367, 132187, 573, 1023, 5268, 28885, 18701, 236761, 564, 236789, 859, 5370, 855, 531, 506, 44030, 16087, 7616, 21112, 531, 68256, 1003, 496, 39791, 653, 35471, 236761, 1637, 901, 9128, 2802, 531, 7659, 8351, 8848, 236764, 692, 236858, 859, 735, 1023, 3995, 714, 48702, 808, 624, 236829, 9380, 11115, 236888, 1637, 711, 236764, 564, 236858, 859, 3437, 54951, 16226, 573, 19060, 236761, 10770, 611, 573, 37319, 506, 2557, 236888, 106, 107, 105, 4368, 107, 3048, 236789, 500, 8349, 236888, 5612, 1023, 1873, 1458, 4038, 236789, 236745, 1894, 1982, 52246, 236764, 564, 5840, 49378, 822, 33391, 607, 506, 5213, 174429, 16087, 7616, 1018, 684, 49326, 822, 6799, 529, 5213, 174429, 18120, 236743, 236810, 236799, 1018, 573, 5213, 30651, 236743, 236778, 523, 699, 236743, 236832, 236964, 236819, 8711, 84750, 2199, 2889, 531, 2679, 1003, 7659, 8351, 2802, 1651, 611, 236858, 500, 657, 625, 236888, 236743, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 114521, 8699, 4137, 1003, 4179, 703, 236858, 236751, 9338, 653, 32187, 21852, 8759, 236858, 236751, 22888, 237028, 19849, 531, 6361, 607, 506, 28885, 3671, 912, 2311, 236888, 236743, 244878, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 822, 1601, 8159, 496, 5395, 2557, 528, 44030, 573, 1041, 2260, 5975, 236761, 1191, 236789, 500, 24048, 1491, 3509, 3579, 1203, 21852, 8759, 236789, 236751, 808, 37107, 58865, 43246, 90780, 3803, 236829, 2148, 2297, 236764, 532, 564, 1461, 496, 37066, 2978, 600, 17823, 236743, 236770, 236771, 1331, 236761, 3199, 611, 2426, 506, 22479, 1458, 573, 9952, 2487, 580, 506, 1171, 9863, 657, 236743, 236832, 8711, 236881, 46745, 3298, 768, 625, 815, 496, 111892, 573, 1023, 26448, 3671, 532, 496, 68085, 531, 1407, 4876, 529, 110213, 6914, 236761, 3551, 4690, 2765, 3995, 714, 48702, 236764, 834, 7463, 692, 236789, 859, 3437, 35009, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 547, 1083, 623, 9512, 236772, 236810, 236771, 236778, 827, 623, 1201, 1083, 623, 174429, 18120, 236743, 236810, 236799, 827, 623, 2084, 1083, 623, 49540, 236779, 3352, 827, 623, 48578, 1083, 236743, 236770, 236778, 236764, 623, 7125, 1083, 623, 236800, 7221, 40126, 236764, 44030, 16087, 827, 623, 22860, 1236, 1083, 11058, 7986, 3147, 827, 623, 6201, 504, 827, 623, 12238, 697, 6651, 14255, 623, 56905, 1083, 3714, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 18700, 23179, 623, 16518, 1083, 3714, 1364, 2946, 236779, 561, 1194, 1083, 1847, 236764, 623, 23014, 236779, 3223, 1083, 2416, 236764, 623, 25491, 11958, 1083, 1847, 5237, 3714, 547, 1083, 623, 9512, 236772, 236800, 236770, 236810, 827, 623, 1201, 1083, 623, 236788, 18512, 6914, 646, 875, 827, 623, 2084, 1083, 623, 49540, 236779, 3352, 827, 623, 48578, 1083, 236743, 236770, 236771, 236764, 623, 7125, 1083, 623, 13060, 1155, 236764, 44030, 16087, 827, 623, 22860, 1236, 1083, 11058, 7986, 3147, 827, 623, 6201, 504, 827, 623, 46116, 236779, 41213, 14255, 623, 56905, 1083, 3714, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 4818, 1083, 623, 18700, 23179, 623, 16518, 1083, 3714, 1364, 2946, 236779, 561, 1194, 1083, 1847, 236764, 623, 23014, 236779, 3223, 1083, 1847, 236764, 623, 25491, 11958, 1083, 2416, 1807, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 1582, 236779, 2084, 1083, 623, 49540, 236779, 3352, 827, 623, 48578, 1083, 236743, 236770, 236771, 236764, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236778, 236774, 236778, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 659, 1156, 4011, 9952, 573, 822, 2260, 5975, 8699, 236787, 108, 236770, 236761, 5213, 174429, 18120, 236743, 236810, 236799, 1018, 138, 107, 139, 236772, 5213, 82502, 53121, 236743, 236770, 236778, 568, 27909, 2557, 573, 35009, 15520, 138, 107, 139, 236772, 5213, 6375, 53121, 236743, 236800, 7221, 40126, 236764, 44030, 16087, 138, 107, 139, 236772, 5213, 200017, 53121, 7286, 3147, 236764, 68085, 236764, 34038, 6651, 138, 107, 139, 236772, 5213, 27144, 53121, 121590, 33398, 236764, 5057, 11958, 568, 63914, 573, 10317, 18701, 779, 951, 3756, 2214, 138, 107, 139, 236772, 5213, 61192, 53121, 669, 34038, 6651, 1451, 577, 4011, 573, 822, 3995, 714, 48702, 532, 1032, 32761, 236888, 108, 236778, 236761, 5213, 236788, 18512, 6914, 646, 875, 1018, 138, 107, 139, 236772, 5213, 82502, 53121, 236743, 236770, 236771, 568, 67655, 4691, 15520, 138, 107, 139, 236772, 5213, 6375, 53121, 205552, 236764, 44030, 16087, 138, 107, 139, 236772, 5213, 200017, 53121, 7286, 3147, 236764, 68085, 236764, 7681, 5464, 138, 107, 139, 236772, 5213, 27144, 53121, 14795, 2214, 236764, 37066, 33398, 236764, 840, 711, 5057, 11958, 138, 107, 139, 236772, 5213, 61192, 53121, 14795, 2214, 2473, 2619, 496, 6962, 86691, 573, 822, 5395, 236761, 138, 108, 22186, 11630, 659, 2487, 699, 5213, 236832, 8711, 531, 236743, 236819, 8711, 580, 9863, 236764, 5365, 236743, 236778, 523, 1018, 532, 2874, 784, 822, 6035, 236761, 21284, 611, 1133, 531, 2260, 886, 529, 1239, 9952, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 4889, 236888, 3792, 236789, 236751, 817, 607, 44030, 18120, 236743, 236810, 236799, 2338, 506, 5057, 162440, 795, 1601, 775, 3213, 580, 32187, 4179, 703, 236789, 236751, 9338, 236761, 564, 14275, 13637, 2978, 6950, 496, 39791, 573, 10264, 19060, 7445, 237028, 46052, 611, 2426, 768, 993, 236858, 236751, 2264, 2557, 2487, 600, 5132, 496, 41839, 653, 35471, 236881, 564, 236858, 236753, 2765, 531, 735, 9380, 11115, 532, 1360, 7814, 1399, 16195, 506, 3995, 714, 48702, 236888, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 63158, 237028, 700, 22479, 1458, 5633, 4038, 236789, 236745, 3204, 18774, 573, 8351, 31087, 1133, 142006, 653, 189407, 528, 1061, 141778, 6137, 236761, 669, 2487, 5904, 1186, 5862, 35129, 684, 6541, 236764, 15830, 236764, 4188, 1722, 236764, 532, 6079, 37007, 236761, 236743, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 101685, 607, 22479, 5213, 174429, 18120, 236743, 236810, 236799, 1018, 568, 25491, 11958, 236764, 111892, 236764, 68085, 236764, 532, 34038, 6651, 779, 653, 138, 107, 236778, 236761, 7179, 768, 1027, 1032, 5395, 11630, 607, 623, 93420, 236775, 528, 910, 1463, 653, 6492, 2473, 8816, 822, 3548, 1699, 496, 25898, 3927, 236881, 138, 108, 93446, 236764, 611, 2473, 1461, 531, 3662, 506, 44030, 16087, 7616, 5467, 531, 9128, 768, 3477, 2978, 815, 2802, 531, 7659, 8351, 8848, 573, 34359, 19060, 653, 12674, 35009, 236761, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 7162, 607, 22479, 5213, 174429, 18120, 236743, 236810, 236799, 1018, 237028, 1437, 5057, 162440, 563, 5367, 132187, 573, 1023, 5268, 28885, 18701, 236761, 564, 236789, 859, 5370, 855, 531, 506, 44030, 16087, 7616, 21112, 531, 68256, 1003, 496, 39791, 653, 35471, 236761, 1637, 901, 9128, 2802, 531, 7659, 8351, 8848, 236764, 692, 236858, 859, 735, 1023, 3995, 714, 48702, 808, 624, 236829, 9380, 11115, 236888, 1637, 711, 236764, 564, 236858, 859, 3437, 54951, 16226, 573, 19060, 236761, 10770, 611, 573, 37319, 506, 2557, 236888, 106, 107, 105, 4368, 107, 3048, 236789, 500, 8349, 236888, 5612, 1023, 1873, 1458, 4038, 236789, 236745, 1894, 1982, 52246, 236764, 564, 5840, 49378, 822, 33391, 607, 506, 5213, 174429, 16087, 7616, 1018, 684, 49326, 822, 6799, 529, 5213, 174429, 18120, 236743, 236810, 236799, 1018, 573, 5213, 30651, 236743, 236778, 523, 699, 236743, 236832, 236964, 236819, 8711, 84750, 2199, 2889, 531, 2679, 1003, 7659, 8351, 2802, 1651, 611, 236858, 500, 657, 625, 236888, 236743, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 114521, 8699, 4137, 1003, 4179, 703, 236858, 236751, 9338, 653, 32187, 21852, 8759, 236858, 236751, 22888, 237028, 19849, 531, 6361, 607, 506, 28885, 3671, 912, 2311, 236888, 236743, 244878, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236888, 564, 236789, 236757, 10304, 46794, 236764, 532, 564, 236789, 236757, 9775, 531, 8835, 506, 70401, 28917, 57034, 236743, 236778, 236771, 236778, 236812, 9232, 236761, 564, 236789, 560, 2506, 506, 9232, 5853, 236787, 205417, 236778, 236771, 236778, 236812, 236761, 28344, 611, 1601, 786, 1586, 855, 768, 993, 236789, 236751, 496, 6478, 1003, 506, 79155, 34588, 11109, 528, 68912, 236881, 564, 236789, 236753, 1133, 531, 1281, 506, 6478, 4889, 236764, 19270, 236764, 532, 768, 993, 659, 1032, 40303, 992, 7467, 528, 672, 10562, 834, 564, 740, 3371, 607, 1091, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64225, 1083, 78493, 3250, 1083, 623, 236847, 16144, 34588, 11109, 236787, 4296, 26438, 153522, 28917, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 105241, 1083, 78493, 1201, 1083, 623, 9231, 236761, 24944, 64042, 2163, 26547, 827, 623, 103832, 1083, 623, 30582, 529, 68912, 23179, 3714, 1201, 1083, 623, 20002, 236761, 56089, 115532, 827, 623, 103832, 1083, 623, 84517, 525, 28917, 7955, 25938, 1604, 623, 102830, 4644, 1083, 11058, 110617, 46794, 827, 623, 12720, 8943, 827, 623, 60526, 42254, 827, 623, 23889, 11860, 152254, 3714, 3250, 1083, 623, 236797, 29953, 130790, 236751, 532, 13806, 32129, 2020, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236825, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236825, 236774, 236770, 236770, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 105241, 1083, 78493, 1201, 1083, 623, 9231, 236761, 108530, 56513, 827, 623, 103832, 1083, 623, 20918, 11109, 529, 37932, 25938, 1604, 623, 102830, 4644, 1083, 11058, 85305, 9833, 827, 623, 43930, 16776, 1935, 165075, 106, 107, 105, 4368, 107, 9259, 10304, 236888, 564, 1765, 506, 6478, 611, 236789, 500, 3182, 573, 236787, 108, 1018, 7396, 66515, 79155, 34588, 11109, 236787, 4296, 26438, 153522, 28917, 138, 107, 1018, 2866, 66515, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 236743, 236778, 236787, 236771, 236771, 8711, 753, 236743, 236800, 236787, 236800, 236771, 8711, 59528, 138, 107, 1018, 157673, 66515, 138, 107, 236772, 3587, 236761, 24944, 64042, 2163, 26547, 568, 30582, 529, 68912, 236768, 138, 107, 236772, 6872, 236761, 56089, 115532, 568, 84517, 525, 28917, 7955, 236768, 138, 108, 1018, 155660, 66515, 138, 107, 3048, 568, 110617, 46794, 779, 3415, 8943, 236764, 17015, 42254, 236764, 532, 8460, 11860, 659, 12314, 573, 672, 6478, 236761, 1599, 740, 3371, 607, 1239, 40303, 1913, 506, 6478, 653, 1343, 506, 9232, 5058, 236789, 236751, 28231, 6436, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236888, 564, 236789, 236757, 10304, 46794, 236764, 532, 564, 236789, 236757, 9775, 531, 8835, 506, 70401, 28917, 57034, 236743, 236778, 236771, 236778, 236812, 9232, 236761, 564, 236789, 560, 2506, 506, 9232, 5853, 236787, 205417, 236778, 236771, 236778, 236812, 236761, 28344, 611, 1601, 786, 1586, 855, 768, 993, 236789, 236751, 496, 6478, 1003, 506, 79155, 34588, 11109, 528, 68912, 236881, 564, 236789, 236753, 1133, 531, 1281, 506, 6478, 4889, 236764, 19270, 236764, 532, 768, 993, 659, 1032, 40303, 992, 7467, 528, 672, 10562, 834, 564, 740, 3371, 607, 1091, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 64225, 1083, 78493, 3250, 1083, 623, 236847, 16144, 34588, 11109, 236787, 4296, 26438, 153522, 28917, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 105241, 1083, 78493, 1201, 1083, 623, 9231, 236761, 24944, 64042, 2163, 26547, 827, 623, 103832, 1083, 623, 30582, 529, 68912, 23179, 3714, 1201, 1083, 623, 20002, 236761, 56089, 115532, 827, 623, 103832, 1083, 623, 84517, 525, 28917, 7955, 25938, 1604, 623, 102830, 4644, 1083, 11058, 110617, 46794, 827, 623, 12720, 8943, 827, 623, 60526, 42254, 827, 623, 23889, 11860, 152254, 3714, 3250, 1083, 623, 236797, 29953, 130790, 236751, 532, 13806, 32129, 2020, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236825, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236825, 236774, 236770, 236770, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 105241, 1083, 78493, 1201, 1083, 623, 9231, 236761, 108530, 56513, 827, 623, 103832, 1083, 623, 20918, 11109, 529, 37932, 25938, 1604, 623, 102830, 4644, 1083, 11058, 85305, 9833, 827, 623, 43930, 16776, 1935, 165075, 106, 107, 105, 4368, 107, 9259, 10304, 236888, 564, 1765, 506, 6478, 611, 236789, 500, 3182, 573, 236787, 108, 1018, 7396, 66515, 79155, 34588, 11109, 236787, 4296, 26438, 153522, 28917, 138, 107, 1018, 2866, 66515, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 236743, 236778, 236787, 236771, 236771, 8711, 753, 236743, 236800, 236787, 236800, 236771, 8711, 59528, 138, 107, 1018, 157673, 66515, 138, 107, 236772, 3587, 236761, 24944, 64042, 2163, 26547, 568, 30582, 529, 68912, 236768, 138, 107, 236772, 6872, 236761, 56089, 115532, 568, 84517, 525, 28917, 7955, 236768, 138, 108, 1018, 155660, 66515, 138, 107, 3048, 568, 110617, 46794, 779, 3415, 8943, 236764, 17015, 42254, 236764, 532, 8460, 11860, 659, 12314, 573, 672, 6478, 236761, 1599, 740, 3371, 607, 1239, 40303, 1913, 506, 6478, 653, 1343, 506, 9232, 5058, 236789, 236751, 28231, 6436, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 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, 17531, 236764, 564, 236789, 236757, 6972, 1003, 23324, 528, 1070, 31170, 4699, 236761, 3199, 611, 2426, 506, 11858, 2862, 6527, 573, 16103, 568, 236811, 236768, 532, 5884, 32754, 568, 24464, 236768, 1024, 506, 3068, 1051, 607, 13822, 20312, 236764, 532, 992, 1460, 768, 993, 735, 1010, 1027, 34799, 42392, 653, 87670, 73586, 573, 1239, 18300, 5569, 236881, 564, 1461, 531, 10769, 910, 3736, 531, 10741, 1298, 531, 51808, 1041, 8775, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7655, 1083, 3714, 22037, 1083, 623, 236811, 827, 623, 13647, 1083, 623, 3118, 827, 623, 2289, 236779, 32248, 1083, 623, 71832, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 23179, 623, 124977, 236779, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236778, 236761, 236800, 236812, 236764, 623, 11480, 1083, 236743, 236770, 236778, 236761, 236828, 236819, 236764, 623, 976, 1083, 236743, 236770, 236778, 236761, 236770, 236770, 236764, 623, 5977, 1083, 236743, 236770, 236778, 236761, 236832, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236778, 236761, 236828, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236800, 236761, 236812, 236778, 236764, 623, 976, 1083, 236743, 236770, 236778, 236761, 236825, 236832, 236764, 623, 5977, 1083, 236743, 236770, 236800, 236761, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236778, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236800, 236761, 236778, 236764, 623, 11480, 1083, 236743, 236770, 236812, 236761, 236771, 236810, 236764, 623, 976, 1083, 236743, 236770, 236800, 236761, 236771, 236770, 236764, 623, 5977, 1083, 236743, 236770, 236800, 236761, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236812, 236761, 236771, 236778, 236764, 623, 11480, 1083, 236743, 236770, 236812, 236761, 236828, 236819, 236764, 623, 976, 1083, 236743, 236770, 236800, 236761, 236828, 236810, 236764, 623, 5977, 1083, 236743, 236770, 236812, 236761, 236825, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236778, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236812, 236761, 236832, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236810, 236761, 236770, 236778, 236764, 623, 976, 1083, 236743, 236770, 236812, 236761, 236810, 236764, 623, 5977, 1083, 236743, 236770, 236812, 236761, 236819, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236810, 236761, 236771, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236810, 236761, 236825, 236832, 236764, 623, 976, 1083, 236743, 236770, 236812, 236761, 236819, 236764, 623, 5977, 1083, 236743, 236770, 236810, 236761, 236812, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236810, 236761, 236810, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236825, 236761, 236778, 236764, 623, 976, 1083, 236743, 236770, 236810, 236761, 236800, 236764, 623, 5977, 1083, 236743, 236770, 236825, 236761, 236771, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236825, 236761, 236770, 236764, 623, 11480, 1083, 236743, 236770, 236825, 236761, 236828, 236819, 236764, 623, 976, 1083, 236743, 236770, 236810, 236761, 236819, 236810, 236764, 623, 5977, 1083, 236743, 236770, 236825, 236761, 236832, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236825, 236761, 236828, 236764, 623, 11480, 1083, 236743, 236770, 236832, 236761, 236800, 236812, 236764, 623, 976, 1083, 236743, 236770, 236825, 236761, 236825, 236764, 623, 5977, 1083, 236743, 236770, 236832, 236761, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236832, 236761, 236778, 236764, 623, 11480, 1083, 236743, 236770, 236832, 236761, 236819, 236764, 623, 976, 1083, 236743, 236770, 236832, 236761, 236771, 236770, 236764, 623, 5977, 1083, 236743, 236770, 236832, 236761, 236832, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236832, 236761, 236828, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236828, 236761, 236812, 236810, 236764, 623, 976, 1083, 236743, 236770, 236832, 236761, 236825, 236764, 623, 5977, 1083, 236743, 236770, 236828, 236761, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236828, 236761, 236800, 236764, 623, 11480, 1083, 236743, 236770, 236819, 236761, 236771, 236764, 623, 976, 1083, 236743, 236770, 236828, 236761, 236770, 236764, 623, 5977, 1083, 236743, 236770, 236828, 236761, 236828, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236828, 236761, 236819, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236819, 236761, 236810, 236764, 623, 976, 1083, 236743, 236770, 236828, 236761, 236832, 236764, 623, 5977, 1083, 236743, 236770, 236819, 236761, 236800, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 24464, 827, 623, 13647, 1083, 623, 3118, 827, 623, 2289, 236779, 32248, 1083, 623, 71832, 827, 623, 124977, 236779, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236812, 236778, 236761, 236770, 236810, 236764, 623, 11480, 1083, 236743, 236812, 236800, 236761, 236828, 236819, 236764, 623, 976, 1083, 236743, 236812, 236770, 236761, 236800, 236778, 236764, 623, 5977, 1083, 236743, 236812, 236778, 236761, 236832, 236810, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236812, 236800, 236761, 236770, 236770, 236764, 623, 11480, 1083, 236743, 236812, 236810, 236761, 236825, 236832, 236764, 623, 976, 1083, 236743, 236812, 236778, 236761, 236819, 236828, 236764, 623, 5977, 1083, 236743, 236812, 236812, 236761, 236800, 236800, 236764, 623, 20845, 1083, 236743, 236770, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236778, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236812, 236812, 236761, 236810, 236810, 236764, 623, 11480, 1083, 236743, 236812, 236825, 236761, 236778, 236770, 236764, 623, 976, 1083, 236743, 236812, 236812, 236761, 236771, 236770, 236764, 623, 5977, 1083, 236743, 236812, 236810, 236761, 236828, 236819, 236764, 623, 20845, 1083, 236743, 236770, 236771, 236828, 236810, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236812, 236825, 236761, 236771, 236770, 236764, 623, 11480, 1083, 236743, 236812, 236828, 236761, 236832, 236810, 236764, 623, 976, 1083, 236743, 236812, 236810, 236761, 236825, 236832, 236764, 623, 5977, 1083, 236743, 236812, 236832, 236761, 236819, 236778, 236764, 623, 20845, 1083, 236743, 236770, 236800, 236778, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236778, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236812, 236828, 236761, 236770, 236770, 236764, 623, 11480, 1083, 236743, 236810, 236771, 236761, 236778, 236800, 236764, 623, 976, 1083, 236743, 236812, 236832, 236761, 236828, 236819, 236764, 623, 5977, 1083, 236743, 236812, 236819, 236761, 236832, 236810, 236764, 623, 20845, 1083, 236743, 236770, 236770, 236819, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236812, 236819, 236761, 236828, 236819, 236764, 623, 11480, 1083, 236743, 236810, 236770, 236761, 236812, 236800, 236764, 623, 976, 1083, 236743, 236812, 236828, 236761, 236832, 236825, 236764, 623, 5977, 1083, 236743, 236810, 236771, 236761, 236770, 236770, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236832, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236810, 236771, 236761, 236778, 236800, 236764, 623, 11480, 1083, 236743, 236810, 236778, 236761, 236770, 236770, 236764, 623, 976, 1083, 236743, 236812, 236819, 236761, 236819, 236810, 236764, 623, 5977, 1083, 236743, 236810, 236770, 236761, 236828, 236819, 236764, 623, 20845, 1083, 236743, 236770, 236771, 236812, 236810, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236810, 236778, 236761, 236771, 236770, 236764, 623, 11480, 1083, 236743, 236810, 236812, 236761, 236800, 236778, 236764, 623, 976, 1083, 236743, 236810, 236770, 236761, 236832, 236828, 236764, 623, 5977, 1083, 236743, 236810, 236800, 236761, 236825, 236832, 236764, 623, 20845, 1083, 236743, 236770, 236812, 236800, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236810, 236800, 236761, 236832, 236828, 236764, 623, 11480, 1083, 236743, 236810, 236810, 236761, 236819, 236828, 236764, 623, 976, 1083, 236743, 236810, 236800, 236761, 236812, 236810, 236764, 623, 5977, 1083, 236743, 236810, 236812, 236761, 236828, 236819, 236764, 623, 20845, 1083, 236743, 236770, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236810, 236810, 236761, 236771, 236770, 236764, 623, 11480, 1083, 236743, 236810, 236832, 236761, 236778, 236800, 236764, 623, 976, 1083, 236743, 236810, 236812, 236761, 236828, 236819, 236764, 623, 5977, 1083, 236743, 236810, 236825, 236761, 236832, 236810, 236764, 623, 20845, 1083, 236743, 236770, 236800, 236819, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236810, 236825, 236761, 236828, 236819, 236764, 623, 11480, 1083, 236743, 236810, 236828, 236761, 236832, 236825, 236764, 623, 976, 1083, 236743, 236810, 236825, 236761, 236800, 236812, 236764, 623, 5977, 1083, 236743, 236810, 236828, 236761, 236778, 236770, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236825, 236810, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236810, 236828, 236761, 236800, 236812, 236764, 623, 11480, 1083, 236743, 236825, 236771, 236761, 236770, 236778, 236764, 623, 976, 1083, 236743, 236810, 236832, 236761, 236819, 236828, 236764, 623, 5977, 1083, 236743, 236810, 236819, 236761, 236828, 236819, 236764, 623, 20845, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236825, 236771, 236761, 236771, 236770, 236764, 623, 11480, 1083, 236743, 236825, 236770, 236761, 236810, 236812, 236764, 623, 976, 1083, 236743, 236810, 236819, 236761, 236832, 236825, 236764, 623, 5977, 1083, 236743, 236825, 236771, 236761, 236819, 236828, 236764, 623, 20845, 1083, 236743, 236770, 236825, 236828, 236771, 236771, 236771, 236771, 236771, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 236811, 827, 623, 18308, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 2064, 1083, 623, 81195, 827, 623, 12310, 925, 1083, 623, 236863, 5153, 40265, 827, 623, 13126, 1083, 623, 40219, 5641, 48549, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236778, 236778, 827, 623, 2064, 1083, 623, 118591, 829, 22176, 827, 623, 12310, 925, 1083, 623, 104195, 33026, 827, 623, 13126, 1083, 623, 14804, 236772, 17115, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236771, 827, 623, 2064, 1083, 623, 81195, 827, 623, 12310, 925, 1083, 623, 21713, 1562, 81981, 827, 623, 13126, 1083, 623, 27015, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 24464, 827, 623, 1048, 32477, 236779, 118591, 829, 73586, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236770, 236771, 827, 623, 12310, 925, 1083, 623, 236863, 236761, 236791, 236761, 23570, 827, 623, 2064, 1083, 623, 64786, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 12310, 925, 1083, 623, 21713, 1562, 81981, 827, 623, 2064, 1083, 623, 68069, 829, 22176, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 12310, 925, 1083, 623, 104195, 33026, 827, 623, 2064, 1083, 623, 66639, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 22515, 580, 506, 3671, 529, 11858, 2862, 6527, 532, 34799, 24074, 573, 16103, 568, 236811, 236768, 532, 5884, 32754, 568, 24464, 779, 1590, 236789, 236751, 496, 12323, 531, 8214, 822, 6828, 4893, 236787, 108, 10354, 5213, 236770, 236761, 34641, 14584, 48993, 1018, 107, 236772, 5213, 52111, 568, 236811, 62902, 236787, 107, 138, 236772, 5213, 236770, 236772, 16431, 19791, 66515, 16402, 699, 5213, 236795, 236770, 236778, 236761, 236832, 236810, 1018, 568, 20123, 236743, 236778, 236771, 236778, 236778, 236768, 531, 5213, 236795, 236770, 236819, 236761, 236800, 236771, 1018, 568, 20123, 236743, 236778, 236771, 236778, 236800, 779, 496, 5213, 236810, 236770, 236761, 236832, 236908, 3553, 84750, 107, 138, 236772, 5213, 96579, 27593, 66515, 132707, 3877, 607, 9875, 111119, 568, 236744, 236761, 236759, 1126, 5729, 236743, 236778, 236771, 236778, 236800, 2708, 529, 609, 236770, 236832, 236761, 236825, 236771, 769, 107, 138, 236772, 5213, 3503, 98964, 66515, 27717, 31097, 33744, 236764, 4285, 528, 506, 1855, 3746, 529, 506, 1051, 236761, 108, 236772, 5213, 24464, 568, 24464, 62902, 236787, 107, 138, 236772, 5213, 236770, 236772, 16431, 19791, 66515, 59067, 699, 5213, 236795, 236812, 236778, 236761, 236832, 236810, 1018, 568, 20123, 236743, 236778, 236771, 236778, 236778, 236768, 531, 5213, 236795, 236825, 236771, 236761, 236819, 236828, 1018, 568, 20123, 236743, 236778, 236771, 236778, 236800, 779, 496, 5213, 236812, 236778, 236761, 236825, 236908, 3553, 84750, 107, 138, 236772, 5213, 96579, 27593, 66515, 108135, 22656, 607, 3715, 12376, 5542, 528, 5226, 236743, 236778, 236771, 236778, 236800, 568, 236744, 236761, 236759, 1126, 6198, 236743, 236778, 236771, 236778, 236800, 5542, 236787, 236743, 236770, 236825, 236761, 236828, 236792, 12085, 769, 107, 138, 236772, 5213, 3503, 98964, 66515, 34474, 10298, 2862, 3385, 840, 8427, 3718, 10256, 3877, 7728, 236761, 16103, 236761, 108, 7243, 108, 10354, 5213, 236778, 236761, 63087, 63685, 568, 9008, 236743, 236825, 236964, 236770, 236778, 89335, 62902, 107, 236772, 5213, 52111, 568, 236811, 62902, 236787, 107, 138, 236772, 5213, 4674, 32477, 66515, 236743, 107, 140, 236772, 3353, 236743, 236778, 236771, 236778, 236800, 568, 236863, 5153, 40265, 236787, 623, 40219, 5641, 48549, 4248, 107, 140, 236772, 6243, 236743, 236778, 236771, 236778, 236800, 568, 21713, 1562, 81981, 236787, 623, 27015, 4248, 107, 138, 236772, 5213, 68069, 829, 22176, 66515, 236743, 107, 140, 236772, 5729, 236743, 236778, 236771, 236778, 236800, 568, 104195, 33026, 236787, 623, 14804, 236772, 17115, 4248, 107, 138, 236772, 5213, 152052, 66515, 65371, 840, 4803, 19260, 12205, 60330, 236761, 108, 236772, 5213, 24464, 568, 24464, 62902, 236787, 107, 138, 236772, 5213, 64786, 66515, 236743, 107, 140, 236772, 5365, 236743, 236778, 236771, 236778, 236800, 568, 236863, 236761, 236791, 236761, 23570, 236787, 2301, 3530, 14470, 2352, 236764, 840, 40269, 769, 107, 138, 236772, 5213, 68069, 829, 22176, 66515, 236743, 107, 140, 236772, 3353, 236743, 236778, 236771, 236778, 236800, 568, 21713, 1562, 81981, 236787, 623, 66639, 4248, 107, 138, 236772, 5213, 66639, 66515, 236743, 107, 140, 236772, 5142, 236743, 236778, 236771, 236778, 236800, 568, 104195, 33026, 236787, 623, 66639, 4248, 107, 138, 236772, 5213, 152052, 66515, 4643, 50799, 236764, 607, 951, 4803, 42392, 236761, 108, 7243, 108, 10354, 5213, 236800, 236761, 111506, 1018, 107, 236772, 5213, 52111, 568, 236811, 62902, 236787, 107, 138, 236772, 5213, 63449, 66515, 27717, 497, 10256, 3877, 568, 236810, 236770, 236761, 236832, 28585, 4803, 34799, 19260, 568, 36956, 236743, 236778, 236771, 236778, 236800, 769, 107, 138, 236772, 5213, 10085, 66515, 172669, 3715, 43866, 568, 236744, 236761, 236759, 1126, 5729, 12372, 769, 107, 138, 236772, 5213, 17043, 1701, 66515, 68729, 12985, 3715, 3877, 3435, 532, 10788, 531, 61016, 21037, 4652, 236761, 108, 236772, 5213, 24464, 568, 24464, 62902, 236787, 107, 138, 236772, 5213, 63449, 66515, 34474, 10298, 2862, 3385, 236764, 9958, 5542, 3877, 236761, 107, 138, 236772, 5213, 10085, 66515, 555, 11462, 10256, 22656, 568, 236812, 236778, 236761, 236825, 28585, 9726, 34799, 27078, 236761, 107, 138, 236772, 5213, 17043, 1701, 66515, 68729, 132187, 11646, 1024, 23225, 3877, 236761, 108, 7243, 108, 10354, 5213, 17667, 7918, 1018, 107, 22186, 4699, 1407, 4414, 14700, 236764, 840, 16103, 236858, 236751, 15281, 3877, 532, 4803, 34799, 42392, 1386, 625, 496, 8427, 919, 14746, 5086, 573, 3877, 236772, 41889, 13177, 236761, 3153, 236764, 192643, 1534, 506, 1156, 1451, 7002, 4652, 532, 13833, 236761, 31246, 1966, 25898, 2436, 3439, 532, 6618, 496, 4867, 39031, 573, 28233, 9106, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6972, 1003, 23324, 528, 1070, 31170, 4699, 236761, 3199, 611, 2426, 506, 11858, 2862, 6527, 573, 16103, 568, 236811, 236768, 532, 5884, 32754, 568, 24464, 236768, 1024, 506, 3068, 1051, 607, 13822, 20312, 236764, 532, 992, 1460, 768, 993, 735, 1010, 1027, 34799, 42392, 653, 87670, 73586, 573, 1239, 18300, 5569, 236881, 564, 1461, 531, 10769, 910, 3736, 531, 10741, 1298, 531, 51808, 1041, 8775, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7655, 1083, 3714, 22037, 1083, 623, 236811, 827, 623, 13647, 1083, 623, 3118, 827, 623, 2289, 236779, 32248, 1083, 623, 71832, 827, 623, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 23179, 623, 124977, 236779, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236778, 236761, 236800, 236812, 236764, 623, 11480, 1083, 236743, 236770, 236778, 236761, 236828, 236819, 236764, 623, 976, 1083, 236743, 236770, 236778, 236761, 236770, 236770, 236764, 623, 5977, 1083, 236743, 236770, 236778, 236761, 236832, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236778, 236761, 236828, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236800, 236761, 236812, 236778, 236764, 623, 976, 1083, 236743, 236770, 236778, 236761, 236825, 236832, 236764, 623, 5977, 1083, 236743, 236770, 236800, 236761, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236778, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236800, 236761, 236778, 236764, 623, 11480, 1083, 236743, 236770, 236812, 236761, 236771, 236810, 236764, 623, 976, 1083, 236743, 236770, 236800, 236761, 236771, 236770, 236764, 623, 5977, 1083, 236743, 236770, 236800, 236761, 236819, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236812, 236761, 236771, 236778, 236764, 623, 11480, 1083, 236743, 236770, 236812, 236761, 236828, 236819, 236764, 623, 976, 1083, 236743, 236770, 236800, 236761, 236828, 236810, 236764, 623, 5977, 1083, 236743, 236770, 236812, 236761, 236825, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236778, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236812, 236761, 236832, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236810, 236761, 236770, 236778, 236764, 623, 976, 1083, 236743, 236770, 236812, 236761, 236810, 236764, 623, 5977, 1083, 236743, 236770, 236812, 236761, 236819, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236810, 236761, 236771, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236810, 236761, 236825, 236832, 236764, 623, 976, 1083, 236743, 236770, 236812, 236761, 236819, 236764, 623, 5977, 1083, 236743, 236770, 236810, 236761, 236812, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236810, 236761, 236810, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236825, 236761, 236778, 236764, 623, 976, 1083, 236743, 236770, 236810, 236761, 236800, 236764, 623, 5977, 1083, 236743, 236770, 236825, 236761, 236771, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236825, 236761, 236770, 236764, 623, 11480, 1083, 236743, 236770, 236825, 236761, 236828, 236819, 236764, 623, 976, 1083, 236743, 236770, 236810, 236761, 236819, 236810, 236764, 623, 5977, 1083, 236743, 236770, 236825, 236761, 236832, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236825, 236761, 236828, 236764, 623, 11480, 1083, 236743, 236770, 236832, 236761, 236800, 236812, 236764, 623, 976, 1083, 236743, 236770, 236825, 236761, 236825, 236764, 623, 5977, 1083, 236743, 236770, 236832, 236761, 236770, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236832, 236761, 236778, 236764, 623, 11480, 1083, 236743, 236770, 236832, 236761, 236819, 236764, 623, 976, 1083, 236743, 236770, 236832, 236761, 236771, 236770, 236764, 623, 5977, 1083, 236743, 236770, 236832, 236761, 236832, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236832, 236761, 236828, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236828, 236761, 236812, 236810, 236764, 623, 976, 1083, 236743, 236770, 236832, 236761, 236825, 236764, 623, 5977, 1083, 236743, 236770, 236828, 236761, 236778, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236828, 236761, 236800, 236764, 623, 11480, 1083, 236743, 236770, 236819, 236761, 236771, 236764, 623, 976, 1083, 236743, 236770, 236828, 236761, 236770, 236764, 623, 5977, 1083, 236743, 236770, 236828, 236761, 236828, 236810, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236770, 236828, 236761, 236819, 236810, 236764, 623, 11480, 1083, 236743, 236770, 236819, 236761, 236810, 236764, 623, 976, 1083, 236743, 236770, 236828, 236761, 236832, 236764, 623, 5977, 1083, 236743, 236770, 236819, 236761, 236800, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 24464, 827, 623, 13647, 1083, 623, 3118, 827, 623, 2289, 236779, 32248, 1083, 623, 71832, 827, 623, 124977, 236779, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236812, 236778, 236761, 236770, 236810, 236764, 623, 11480, 1083, 236743, 236812, 236800, 236761, 236828, 236819, 236764, 623, 976, 1083, 236743, 236812, 236770, 236761, 236800, 236778, 236764, 623, 5977, 1083, 236743, 236812, 236778, 236761, 236832, 236810, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236770, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236812, 236800, 236761, 236770, 236770, 236764, 623, 11480, 1083, 236743, 236812, 236810, 236761, 236825, 236832, 236764, 623, 976, 1083, 236743, 236812, 236778, 236761, 236819, 236828, 236764, 623, 5977, 1083, 236743, 236812, 236812, 236761, 236800, 236800, 236764, 623, 20845, 1083, 236743, 236770, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236778, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236812, 236812, 236761, 236810, 236810, 236764, 623, 11480, 1083, 236743, 236812, 236825, 236761, 236778, 236770, 236764, 623, 976, 1083, 236743, 236812, 236812, 236761, 236771, 236770, 236764, 623, 5977, 1083, 236743, 236812, 236810, 236761, 236828, 236819, 236764, 623, 20845, 1083, 236743, 236770, 236771, 236828, 236810, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236812, 236825, 236761, 236771, 236770, 236764, 623, 11480, 1083, 236743, 236812, 236828, 236761, 236832, 236810, 236764, 623, 976, 1083, 236743, 236812, 236810, 236761, 236825, 236832, 236764, 623, 5977, 1083, 236743, 236812, 236832, 236761, 236819, 236778, 236764, 623, 20845, 1083, 236743, 236770, 236800, 236778, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236778, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236812, 236828, 236761, 236770, 236770, 236764, 623, 11480, 1083, 236743, 236810, 236771, 236761, 236778, 236800, 236764, 623, 976, 1083, 236743, 236812, 236832, 236761, 236828, 236819, 236764, 623, 5977, 1083, 236743, 236812, 236819, 236761, 236832, 236810, 236764, 623, 20845, 1083, 236743, 236770, 236770, 236819, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236812, 236819, 236761, 236828, 236819, 236764, 623, 11480, 1083, 236743, 236810, 236770, 236761, 236812, 236800, 236764, 623, 976, 1083, 236743, 236812, 236828, 236761, 236832, 236825, 236764, 623, 5977, 1083, 236743, 236810, 236771, 236761, 236770, 236770, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236832, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236810, 236771, 236761, 236778, 236800, 236764, 623, 11480, 1083, 236743, 236810, 236778, 236761, 236770, 236770, 236764, 623, 976, 1083, 236743, 236812, 236819, 236761, 236819, 236810, 236764, 623, 5977, 1083, 236743, 236810, 236770, 236761, 236828, 236819, 236764, 623, 20845, 1083, 236743, 236770, 236771, 236812, 236810, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236810, 236778, 236761, 236771, 236770, 236764, 623, 11480, 1083, 236743, 236810, 236812, 236761, 236800, 236778, 236764, 623, 976, 1083, 236743, 236810, 236770, 236761, 236832, 236828, 236764, 623, 5977, 1083, 236743, 236810, 236800, 236761, 236825, 236832, 236764, 623, 20845, 1083, 236743, 236770, 236812, 236800, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236810, 236800, 236761, 236832, 236828, 236764, 623, 11480, 1083, 236743, 236810, 236810, 236761, 236819, 236828, 236764, 623, 976, 1083, 236743, 236810, 236800, 236761, 236812, 236810, 236764, 623, 5977, 1083, 236743, 236810, 236812, 236761, 236828, 236819, 236764, 623, 20845, 1083, 236743, 236770, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236810, 236810, 236761, 236771, 236770, 236764, 623, 11480, 1083, 236743, 236810, 236832, 236761, 236778, 236800, 236764, 623, 976, 1083, 236743, 236810, 236812, 236761, 236828, 236819, 236764, 623, 5977, 1083, 236743, 236810, 236825, 236761, 236832, 236810, 236764, 623, 20845, 1083, 236743, 236770, 236800, 236819, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236810, 236825, 236761, 236828, 236819, 236764, 623, 11480, 1083, 236743, 236810, 236828, 236761, 236832, 236825, 236764, 623, 976, 1083, 236743, 236810, 236825, 236761, 236800, 236812, 236764, 623, 5977, 1083, 236743, 236810, 236828, 236761, 236778, 236770, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236825, 236810, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236810, 236828, 236761, 236800, 236812, 236764, 623, 11480, 1083, 236743, 236825, 236771, 236761, 236770, 236778, 236764, 623, 976, 1083, 236743, 236810, 236832, 236761, 236819, 236828, 236764, 623, 5977, 1083, 236743, 236810, 236819, 236761, 236828, 236819, 236764, 623, 20845, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236771, 236771, 236771, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 827, 623, 5265, 1083, 236743, 236825, 236771, 236761, 236771, 236770, 236764, 623, 11480, 1083, 236743, 236825, 236770, 236761, 236810, 236812, 236764, 623, 976, 1083, 236743, 236810, 236819, 236761, 236832, 236825, 236764, 623, 5977, 1083, 236743, 236825, 236771, 236761, 236819, 236828, 236764, 623, 20845, 1083, 236743, 236770, 236825, 236828, 236771, 236771, 236771, 236771, 236771, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 236811, 827, 623, 18308, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 2064, 1083, 623, 81195, 827, 623, 12310, 925, 1083, 623, 236863, 5153, 40265, 827, 623, 13126, 1083, 623, 40219, 5641, 48549, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236778, 236778, 827, 623, 2064, 1083, 623, 118591, 829, 22176, 827, 623, 12310, 925, 1083, 623, 104195, 33026, 827, 623, 13126, 1083, 623, 14804, 236772, 17115, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236771, 827, 623, 2064, 1083, 623, 81195, 827, 623, 12310, 925, 1083, 623, 21713, 1562, 81981, 827, 623, 13126, 1083, 623, 27015, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 24464, 827, 623, 1048, 32477, 236779, 118591, 829, 73586, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236772, 236770, 236771, 827, 623, 12310, 925, 1083, 623, 236863, 236761, 236791, 236761, 23570, 827, 623, 2064, 1083, 623, 64786, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 12310, 925, 1083, 623, 21713, 1562, 81981, 827, 623, 2064, 1083, 623, 68069, 829, 22176, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 12310, 925, 1083, 623, 104195, 33026, 827, 623, 2064, 1083, 623, 66639, 25938, 1604, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 22515, 580, 506, 3671, 529, 11858, 2862, 6527, 532, 34799, 24074, 573, 16103, 568, 236811, 236768, 532, 5884, 32754, 568, 24464, 779, 1590, 236789, 236751, 496, 12323, 531, 8214, 822, 6828, 4893, 236787, 108, 10354, 5213, 236770, 236761, 34641, 14584, 48993, 1018, 107, 236772, 5213, 52111, 568, 236811, 62902, 236787, 107, 138, 236772, 5213, 236770, 236772, 16431, 19791, 66515, 16402, 699, 5213, 236795, 236770, 236778, 236761, 236832, 236810, 1018, 568, 20123, 236743, 236778, 236771, 236778, 236778, 236768, 531, 5213, 236795, 236770, 236819, 236761, 236800, 236771, 1018, 568, 20123, 236743, 236778, 236771, 236778, 236800, 779, 496, 5213, 236810, 236770, 236761, 236832, 236908, 3553, 84750, 107, 138, 236772, 5213, 96579, 27593, 66515, 132707, 3877, 607, 9875, 111119, 568, 236744, 236761, 236759, 1126, 5729, 236743, 236778, 236771, 236778, 236800, 2708, 529, 609, 236770, 236832, 236761, 236825, 236771, 769, 107, 138, 236772, 5213, 3503, 98964, 66515, 27717, 31097, 33744, 236764, 4285, 528, 506, 1855, 3746, 529, 506, 1051, 236761, 108, 236772, 5213, 24464, 568, 24464, 62902, 236787, 107, 138, 236772, 5213, 236770, 236772, 16431, 19791, 66515, 59067, 699, 5213, 236795, 236812, 236778, 236761, 236832, 236810, 1018, 568, 20123, 236743, 236778, 236771, 236778, 236778, 236768, 531, 5213, 236795, 236825, 236771, 236761, 236819, 236828, 1018, 568, 20123, 236743, 236778, 236771, 236778, 236800, 779, 496, 5213, 236812, 236778, 236761, 236825, 236908, 3553, 84750, 107, 138, 236772, 5213, 96579, 27593, 66515, 108135, 22656, 607, 3715, 12376, 5542, 528, 5226, 236743, 236778, 236771, 236778, 236800, 568, 236744, 236761, 236759, 1126, 6198, 236743, 236778, 236771, 236778, 236800, 5542, 236787, 236743, 236770, 236825, 236761, 236828, 236792, 12085, 769, 107, 138, 236772, 5213, 3503, 98964, 66515, 34474, 10298, 2862, 3385, 840, 8427, 3718, 10256, 3877, 7728, 236761, 16103, 236761, 108, 7243, 108, 10354, 5213, 236778, 236761, 63087, 63685, 568, 9008, 236743, 236825, 236964, 236770, 236778, 89335, 62902, 107, 236772, 5213, 52111, 568, 236811, 62902, 236787, 107, 138, 236772, 5213, 4674, 32477, 66515, 236743, 107, 140, 236772, 3353, 236743, 236778, 236771, 236778, 236800, 568, 236863, 5153, 40265, 236787, 623, 40219, 5641, 48549, 4248, 107, 140, 236772, 6243, 236743, 236778, 236771, 236778, 236800, 568, 21713, 1562, 81981, 236787, 623, 27015, 4248, 107, 138, 236772, 5213, 68069, 829, 22176, 66515, 236743, 107, 140, 236772, 5729, 236743, 236778, 236771, 236778, 236800, 568, 104195, 33026, 236787, 623, 14804, 236772, 17115, 4248, 107, 138, 236772, 5213, 152052, 66515, 65371, 840, 4803, 19260, 12205, 60330, 236761, 108, 236772, 5213, 24464, 568, 24464, 62902, 236787, 107, 138, 236772, 5213, 64786, 66515, 236743, 107, 140, 236772, 5365, 236743, 236778, 236771, 236778, 236800, 568, 236863, 236761, 236791, 236761, 23570, 236787, 2301, 3530, 14470, 2352, 236764, 840, 40269, 769, 107, 138, 236772, 5213, 68069, 829, 22176, 66515, 236743, 107, 140, 236772, 3353, 236743, 236778, 236771, 236778, 236800, 568, 21713, 1562, 81981, 236787, 623, 66639, 4248, 107, 138, 236772, 5213, 66639, 66515, 236743, 107, 140, 236772, 5142, 236743, 236778, 236771, 236778, 236800, 568, 104195, 33026, 236787, 623, 66639, 4248, 107, 138, 236772, 5213, 152052, 66515, 4643, 50799, 236764, 607, 951, 4803, 42392, 236761, 108, 7243, 108, 10354, 5213, 236800, 236761, 111506, 1018, 107, 236772, 5213, 52111, 568, 236811, 62902, 236787, 107, 138, 236772, 5213, 63449, 66515, 27717, 497, 10256, 3877, 568, 236810, 236770, 236761, 236832, 28585, 4803, 34799, 19260, 568, 36956, 236743, 236778, 236771, 236778, 236800, 769, 107, 138, 236772, 5213, 10085, 66515, 172669, 3715, 43866, 568, 236744, 236761, 236759, 1126, 5729, 12372, 769, 107, 138, 236772, 5213, 17043, 1701, 66515, 68729, 12985, 3715, 3877, 3435, 532, 10788, 531, 61016, 21037, 4652, 236761, 108, 236772, 5213, 24464, 568, 24464, 62902, 236787, 107, 138, 236772, 5213, 63449, 66515, 34474, 10298, 2862, 3385, 236764, 9958, 5542, 3877, 236761, 107, 138, 236772, 5213, 10085, 66515, 555, 11462, 10256, 22656, 568, 236812, 236778, 236761, 236825, 28585, 9726, 34799, 27078, 236761, 107, 138, 236772, 5213, 17043, 1701, 66515, 68729, 132187, 11646, 1024, 23225, 3877, 236761, 108, 7243, 108, 10354, 5213, 17667, 7918, 1018, 107, 22186, 4699, 1407, 4414, 14700, 236764, 840, 16103, 236858, 236751, 15281, 3877, 532, 4803, 34799, 42392, 1386, 625, 496, 8427, 919, 14746, 5086, 573, 3877, 236772, 41889, 13177, 236761, 3153, 236764, 192643, 1534, 506, 1156, 1451, 7002, 4652, 532, 13833, 236761, 31246, 1966, 25898, 2436, 3439, 532, 6618, 496, 4867, 39031, 573, 28233, 9106, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236775, 236777, 236789, 236757, 96085, 7606, 1262, 573, 496, 11858, 2881, 529, 496, 236743, 236770, 236819, 236832, 236825, 3399, 7972, 2203, 528, 18693, 4085, 236761, 28344, 611, 33205, 1156, 7093, 529, 1262, 236881, 5315, 236764, 506, 5213, 32320, 4022, 532, 31632, 1018, 699, 5213, 12055, 236743, 236770, 236810, 594, 531, 5857, 236743, 236770, 236810, 594, 236764, 236743, 236770, 236819, 236832, 236825, 1018, 568, 7125, 236787, 236743, 236812, 236825, 236832, 236778, 236810, 779, 532, 1855, 236764, 506, 5213, 180981, 6573, 4249, 532, 5281, 1018, 573, 5213, 30211, 236743, 236770, 236819, 594, 236764, 236743, 236770, 236819, 236832, 236825, 125546, 506, 1719, 496, 12978, 18083, 506, 7972, 87719, 236761, 6542, 236764, 768, 2653, 236764, 3204, 31992, 573, 506, 51599, 1262, 1781, 1174, 2864, 7087, 61872, 5065, 6137, 568, 1896, 21280, 236764, 19455, 236764, 4563, 236768, 532, 88906, 3149, 568, 20967, 236764, 4563, 236768, 7728, 19331, 568, 77269, 236768, 6192, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 236779, 3970, 1083, 623, 236812, 236825, 236832, 236778, 236810, 827, 623, 14801, 1083, 623, 3118, 827, 623, 1496, 1083, 623, 236770, 236819, 236832, 236825, 236772, 236771, 236832, 236772, 236770, 236819, 827, 623, 180981, 236779, 1516, 1083, 78493, 13807, 1083, 623, 236771, 236771, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 77269, 1083, 623, 236832, 236778, 171446, 3714, 13807, 1083, 623, 236771, 236770, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236770, 236771, 44269, 827, 623, 77269, 1083, 623, 236832, 236771, 171446, 3714, 13807, 1083, 623, 236771, 236778, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236770, 236812, 44269, 827, 623, 77269, 1083, 623, 236825, 236828, 171446, 3714, 13807, 1083, 623, 236771, 236800, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236770, 236828, 44269, 827, 623, 77269, 1083, 623, 236825, 236810, 171446, 3714, 13807, 1083, 623, 236771, 236812, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236778, 236778, 44269, 827, 623, 77269, 1083, 623, 236825, 236800, 171446, 3714, 13807, 1083, 623, 236771, 236810, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236778, 236810, 44269, 827, 623, 77269, 1083, 623, 236825, 236771, 171446, 3714, 13807, 1083, 623, 236771, 236825, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236778, 236828, 44269, 827, 623, 77269, 1083, 623, 236810, 236828, 171446, 3714, 13807, 1083, 623, 236771, 236832, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236800, 236771, 44269, 827, 623, 77269, 1083, 623, 236810, 236810, 171446, 3714, 13807, 1083, 623, 236771, 236828, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236800, 236778, 44269, 827, 623, 77269, 1083, 623, 236810, 236800, 171446, 3714, 13807, 1083, 623, 236771, 236819, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236800, 236810, 44269, 827, 623, 77269, 1083, 623, 236810, 236771, 171446, 3714, 13807, 1083, 623, 236770, 236771, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236800, 236828, 44269, 827, 623, 77269, 1083, 623, 236812, 236828, 171446, 3714, 13807, 1083, 623, 236770, 236770, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236771, 44269, 827, 623, 77269, 1083, 623, 236812, 236810, 171446, 3714, 13807, 1083, 623, 236770, 236778, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236778, 44269, 827, 623, 77269, 1083, 623, 236812, 236800, 171446, 3714, 13807, 1083, 623, 236770, 236800, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236810, 44269, 827, 623, 77269, 1083, 623, 236812, 236771, 171446, 3714, 13807, 1083, 623, 236770, 236812, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236832, 44269, 827, 623, 77269, 1083, 623, 236800, 236828, 171446, 3714, 13807, 1083, 623, 236770, 236810, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236819, 44269, 827, 623, 77269, 1083, 623, 236800, 236810, 171446, 3714, 13807, 1083, 623, 236770, 236825, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236810, 236771, 44269, 827, 623, 77269, 1083, 623, 236800, 236800, 171446, 3714, 13807, 1083, 623, 236770, 236832, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236828, 44269, 827, 623, 77269, 1083, 623, 236800, 236810, 171446, 3714, 13807, 1083, 623, 236770, 236828, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236810, 44269, 827, 623, 77269, 1083, 623, 236800, 236828, 171446, 3714, 13807, 1083, 623, 236770, 236819, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236778, 44269, 827, 623, 77269, 1083, 623, 236812, 236771, 171446, 3714, 13807, 1083, 623, 236778, 236771, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236800, 236828, 44269, 827, 623, 77269, 1083, 623, 236812, 236800, 171446, 3714, 13807, 1083, 623, 236778, 236770, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236800, 236810, 44269, 827, 623, 77269, 1083, 623, 236812, 236810, 171446, 3714, 13807, 1083, 623, 236778, 236778, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236800, 236771, 44269, 827, 623, 77269, 1083, 623, 236812, 236828, 171446, 3714, 13807, 1083, 623, 236778, 236800, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236778, 236810, 44269, 827, 623, 77269, 1083, 623, 236810, 236778, 38032, 165075, 106, 107, 105, 4368, 107, 818, 15633, 7606, 1262, 573, 506, 236743, 236770, 236819, 236832, 236825, 3399, 7972, 2203, 528, 18693, 4085, 568, 15905, 236787, 236743, 236812, 236825, 236832, 236778, 236810, 236768, 815, 1010, 20745, 52236, 236761, 30791, 563, 496, 12323, 529, 12396, 532, 16305, 236787, 108, 10354, 216659, 5774, 573, 5505, 236743, 236770, 236819, 236764, 236743, 236770, 236819, 236832, 236825, 568, 85190, 6156, 236768, 107, 236772, 5213, 42554, 23902, 833, 208719, 66515, 82521, 52236, 573, 236743, 236778, 236812, 236772, 13807, 20312, 568, 4041, 5498, 3426, 769, 18324, 23257, 90959, 657, 5213, 236810, 236771, 44269, 1018, 657, 236743, 236770, 236825, 236787, 236771, 236771, 236764, 9958, 607, 12978, 3439, 236761, 107, 236772, 5213, 42554, 48362, 66515, 3790, 2487, 528, 506, 1873, 5904, 1025, 236761, 669, 2165, 180981, 19323, 15905, 236929, 1292, 1677, 711, 1894, 672, 7689, 236761, 108, 12703, 51599, 78923, 236787, 107, 2717, 107, 236770, 236778, 236787, 236771, 236771, 753, 18324, 236787, 236743, 236812, 236778, 44269, 236764, 208719, 236787, 236743, 236812, 236800, 236908, 107, 236770, 236825, 236787, 236771, 236771, 753, 18324, 236787, 236743, 236810, 236771, 44269, 568, 46858, 779, 208719, 236787, 236743, 236800, 236800, 236908, 107, 236778, 236771, 236787, 236771, 236771, 753, 18324, 236787, 236743, 236800, 236828, 44269, 236764, 208719, 236787, 236743, 236812, 236800, 236908, 107, 2717, 108, 10354, 18245, 5774, 568, 12055, 236743, 236770, 236810, 236964, 36022, 236743, 236770, 236810, 236764, 236743, 236770, 236819, 236832, 236825, 236768, 107, 236772, 5213, 4348, 34189, 66515, 669, 2165, 32320, 977, 20042, 20143, 236929, 5904, 7087, 40899, 532, 50550, 15375, 236764, 837, 964, 711, 3847, 236761, 18693, 4085, 236789, 236751, 15375, 15554, 236828, 236810, 236761, 236825, 236825, 236778, 236778, 237366, 649, 236764, 236743, 236812, 236770, 236761, 236828, 236812, 236771, 236800, 237366, 646, 236768, 659, 4354, 531, 7162, 236761, 108, 10354, 91330, 107, 236770, 236761, 5213, 42362, 5774, 66515, 39525, 40899, 568, 236812, 236770, 236761, 236828, 236812, 236771, 236800, 236768, 532, 50550, 15554, 236828, 236810, 236761, 236825, 236825, 236778, 236778, 236768, 573, 18693, 4085, 531, 33205, 6376, 4022, 532, 31632, 236761, 107, 236778, 236761, 5213, 42554, 48362, 66515, 1174, 14966, 563, 47713, 4323, 1873, 6436, 236761, 14066, 31100, 2263, 113060, 48531, 573, 4767, 12978, 4889, 236761, 108, 38786, 611, 1133, 531, 7162, 607, 506, 6376, 1262, 2864, 1699, 506, 15375, 3847, 2787, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236775, 236777, 236789, 236757, 96085, 7606, 1262, 573, 496, 11858, 2881, 529, 496, 236743, 236770, 236819, 236832, 236825, 3399, 7972, 2203, 528, 18693, 4085, 236761, 28344, 611, 33205, 1156, 7093, 529, 1262, 236881, 5315, 236764, 506, 5213, 32320, 4022, 532, 31632, 1018, 699, 5213, 12055, 236743, 236770, 236810, 594, 531, 5857, 236743, 236770, 236810, 594, 236764, 236743, 236770, 236819, 236832, 236825, 1018, 568, 7125, 236787, 236743, 236812, 236825, 236832, 236778, 236810, 779, 532, 1855, 236764, 506, 5213, 180981, 6573, 4249, 532, 5281, 1018, 573, 5213, 30211, 236743, 236770, 236819, 594, 236764, 236743, 236770, 236819, 236832, 236825, 125546, 506, 1719, 496, 12978, 18083, 506, 7972, 87719, 236761, 6542, 236764, 768, 2653, 236764, 3204, 31992, 573, 506, 51599, 1262, 1781, 1174, 2864, 7087, 61872, 5065, 6137, 568, 1896, 21280, 236764, 19455, 236764, 4563, 236768, 532, 88906, 3149, 568, 20967, 236764, 4563, 236768, 7728, 19331, 568, 77269, 236768, 6192, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 236779, 3970, 1083, 623, 236812, 236825, 236832, 236778, 236810, 827, 623, 14801, 1083, 623, 3118, 827, 623, 1496, 1083, 623, 236770, 236819, 236832, 236825, 236772, 236771, 236832, 236772, 236770, 236819, 827, 623, 180981, 236779, 1516, 1083, 78493, 13807, 1083, 623, 236771, 236771, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 77269, 1083, 623, 236832, 236778, 171446, 3714, 13807, 1083, 623, 236771, 236770, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236770, 236771, 44269, 827, 623, 77269, 1083, 623, 236832, 236771, 171446, 3714, 13807, 1083, 623, 236771, 236778, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236770, 236812, 44269, 827, 623, 77269, 1083, 623, 236825, 236828, 171446, 3714, 13807, 1083, 623, 236771, 236800, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236770, 236828, 44269, 827, 623, 77269, 1083, 623, 236825, 236810, 171446, 3714, 13807, 1083, 623, 236771, 236812, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236778, 236778, 44269, 827, 623, 77269, 1083, 623, 236825, 236800, 171446, 3714, 13807, 1083, 623, 236771, 236810, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236778, 236810, 44269, 827, 623, 77269, 1083, 623, 236825, 236771, 171446, 3714, 13807, 1083, 623, 236771, 236825, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236778, 236828, 44269, 827, 623, 77269, 1083, 623, 236810, 236828, 171446, 3714, 13807, 1083, 623, 236771, 236832, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236800, 236771, 44269, 827, 623, 77269, 1083, 623, 236810, 236810, 171446, 3714, 13807, 1083, 623, 236771, 236828, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236800, 236778, 44269, 827, 623, 77269, 1083, 623, 236810, 236800, 171446, 3714, 13807, 1083, 623, 236771, 236819, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236800, 236810, 44269, 827, 623, 77269, 1083, 623, 236810, 236771, 171446, 3714, 13807, 1083, 623, 236770, 236771, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236800, 236828, 44269, 827, 623, 77269, 1083, 623, 236812, 236828, 171446, 3714, 13807, 1083, 623, 236770, 236770, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236771, 44269, 827, 623, 77269, 1083, 623, 236812, 236810, 171446, 3714, 13807, 1083, 623, 236770, 236778, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236778, 44269, 827, 623, 77269, 1083, 623, 236812, 236800, 171446, 3714, 13807, 1083, 623, 236770, 236800, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236810, 44269, 827, 623, 77269, 1083, 623, 236812, 236771, 171446, 3714, 13807, 1083, 623, 236770, 236812, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236832, 44269, 827, 623, 77269, 1083, 623, 236800, 236828, 171446, 3714, 13807, 1083, 623, 236770, 236810, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236819, 44269, 827, 623, 77269, 1083, 623, 236800, 236810, 171446, 3714, 13807, 1083, 623, 236770, 236825, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236810, 236771, 44269, 827, 623, 77269, 1083, 623, 236800, 236800, 171446, 3714, 13807, 1083, 623, 236770, 236832, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236828, 44269, 827, 623, 77269, 1083, 623, 236800, 236810, 171446, 3714, 13807, 1083, 623, 236770, 236828, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236810, 44269, 827, 623, 77269, 1083, 623, 236800, 236828, 171446, 3714, 13807, 1083, 623, 236770, 236819, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236812, 236778, 44269, 827, 623, 77269, 1083, 623, 236812, 236771, 171446, 3714, 13807, 1083, 623, 236778, 236771, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236800, 236828, 44269, 827, 623, 77269, 1083, 623, 236812, 236800, 171446, 3714, 13807, 1083, 623, 236778, 236770, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236800, 236810, 44269, 827, 623, 77269, 1083, 623, 236812, 236810, 171446, 3714, 13807, 1083, 623, 236778, 236778, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236800, 236771, 44269, 827, 623, 77269, 1083, 623, 236812, 236828, 171446, 3714, 13807, 1083, 623, 236778, 236800, 236787, 236771, 236771, 827, 623, 15879, 236779, 11243, 1083, 623, 236778, 236810, 44269, 827, 623, 77269, 1083, 623, 236810, 236778, 38032, 165075, 106, 107, 105, 4368, 107, 818, 15633, 7606, 1262, 573, 506, 236743, 236770, 236819, 236832, 236825, 3399, 7972, 2203, 528, 18693, 4085, 568, 15905, 236787, 236743, 236812, 236825, 236832, 236778, 236810, 236768, 815, 1010, 20745, 52236, 236761, 30791, 563, 496, 12323, 529, 12396, 532, 16305, 236787, 108, 10354, 216659, 5774, 573, 5505, 236743, 236770, 236819, 236764, 236743, 236770, 236819, 236832, 236825, 568, 85190, 6156, 236768, 107, 236772, 5213, 42554, 23902, 833, 208719, 66515, 82521, 52236, 573, 236743, 236778, 236812, 236772, 13807, 20312, 568, 4041, 5498, 3426, 769, 18324, 23257, 90959, 657, 5213, 236810, 236771, 44269, 1018, 657, 236743, 236770, 236825, 236787, 236771, 236771, 236764, 9958, 607, 12978, 3439, 236761, 107, 236772, 5213, 42554, 48362, 66515, 3790, 2487, 528, 506, 1873, 5904, 1025, 236761, 669, 2165, 180981, 19323, 15905, 236929, 1292, 1677, 711, 1894, 672, 7689, 236761, 108, 12703, 51599, 78923, 236787, 107, 2717, 107, 236770, 236778, 236787, 236771, 236771, 753, 18324, 236787, 236743, 236812, 236778, 44269, 236764, 208719, 236787, 236743, 236812, 236800, 236908, 107, 236770, 236825, 236787, 236771, 236771, 753, 18324, 236787, 236743, 236810, 236771, 44269, 568, 46858, 779, 208719, 236787, 236743, 236800, 236800, 236908, 107, 236778, 236771, 236787, 236771, 236771, 753, 18324, 236787, 236743, 236800, 236828, 44269, 236764, 208719, 236787, 236743, 236812, 236800, 236908, 107, 2717, 108, 10354, 18245, 5774, 568, 12055, 236743, 236770, 236810, 236964, 36022, 236743, 236770, 236810, 236764, 236743, 236770, 236819, 236832, 236825, 236768, 107, 236772, 5213, 4348, 34189, 66515, 669, 2165, 32320, 977, 20042, 20143, 236929, 5904, 7087, 40899, 532, 50550, 15375, 236764, 837, 964, 711, 3847, 236761, 18693, 4085, 236789, 236751, 15375, 15554, 236828, 236810, 236761, 236825, 236825, 236778, 236778, 237366, 649, 236764, 236743, 236812, 236770, 236761, 236828, 236812, 236771, 236800, 237366, 646, 236768, 659, 4354, 531, 7162, 236761, 108, 10354, 91330, 107, 236770, 236761, 5213, 42362, 5774, 66515, 39525, 40899, 568, 236812, 236770, 236761, 236828, 236812, 236771, 236800, 236768, 532, 50550, 15554, 236828, 236810, 236761, 236825, 236825, 236778, 236778, 236768, 573, 18693, 4085, 531, 33205, 6376, 4022, 532, 31632, 236761, 107, 236778, 236761, 5213, 42554, 48362, 66515, 1174, 14966, 563, 47713, 4323, 1873, 6436, 236761, 14066, 31100, 2263, 113060, 48531, 573, 4767, 12978, 4889, 236761, 108, 38786, 611, 1133, 531, 7162, 607, 506, 6376, 1262, 2864, 1699, 506, 15375, 3847, 2787, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236761, 564, 1202, 1601, 7107, 496, 44426, 3393, 573, 1041, 861, 192638, 1960, 4456, 236761, 5315, 236764, 2426, 768, 1041, 3432, 756, 2769, 236761, 60154, 1102, 95082, 8482, 236761, 854, 236789, 563, 2487, 236761, 1637, 625, 563, 236764, 8729, 496, 44426, 3393, 573, 600, 10739, 607, 2425, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 236761, 4298, 236764, 564, 1461, 531, 5383, 3662, 4889, 573, 1041, 40135, 30913, 236764, 1015, 4146, 657, 496, 35400, 27313, 236761, 4923, 15345, 563, 756, 129963, 31317, 10339, 8135, 236789, 580, 40035, 10252, 237028, 94507, 914, 8283, 532, 5383, 625, 618, 496, 3662, 236761, 3792, 786, 1281, 1217, 625, 5899, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 18700, 827, 623, 22011, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236800, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 827, 623, 4375, 1083, 623, 818, 4456, 6729, 236761, 60154, 1102, 95082, 8482, 236761, 854, 563, 5633, 2487, 1781, 236783, 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, 236809, 13110, 509, 236761, 854, 236786, 3677, 236786, 48203, 236761, 4523, 236881, 15259, 236753, 3001, 236784, 236771, 236771, 236771, 236771, 236771, 236771, 236880, 12756, 236753, 3001, 236784, 92130, 236880, 48203, 2086, 236784, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 236880, 7090, 3001, 236784, 236771, 236771, 236771, 236771, 236771, 236771, 236880, 1005, 236784, 2769, 236761, 60154, 1102, 95082, 8482, 236761, 854, 236880, 173297, 236784, 236798, 236880, 236745, 236784, 38748, 236862, 7711, 236862, 15547, 236880, 1282, 1005, 236784, 36401, 236862, 1071, 236862, 37620, 236862, 700, 236862, 8777, 236880, 1587, 557, 916, 236784, 136769, 1102, 236862, 119550, 8482, 236862, 38943, 236862, 4809, 827, 623, 4818, 1083, 623, 38943, 3393, 7835, 10428, 827, 623, 14210, 1083, 623, 6738, 15830, 2426, 711, 6984, 684, 672, 5904, 236761, 53399, 92578, 4456, 36453, 21112, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 129963, 10013, 77245, 827, 623, 6774, 1083, 623, 6357, 511, 236761, 5168, 236940, 236752, 2286, 1364, 236761, 854, 827, 623, 5275, 1083, 10955, 236770, 568, 236810, 236810, 236810, 236768, 236743, 236832, 236828, 236819, 236772, 236771, 236770, 236778, 236800, 827, 623, 25385, 1083, 623, 236798, 2286, 6654, 77245, 827, 623, 4818, 1083, 623, 14009, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4375, 1083, 623, 11431, 756, 129963, 10013, 77245, 236789, 10683, 10428, 607, 5154, 900, 236770, 568, 236810, 236810, 236810, 236768, 236743, 236832, 236828, 236819, 236772, 236771, 236770, 236778, 236800, 532, 4553, 86769, 236761, 5168, 236940, 236752, 2286, 1364, 236761, 854, 25938, 106, 107, 105, 4368, 107, 818, 4456, 6729, 236761, 60154, 1102, 95082, 8482, 236761, 854, 563, 2487, 236761, 564, 236789, 560, 7835, 496, 44426, 3393, 573, 625, 607, 822, 23003, 568, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 2425, 236768, 753, 611, 740, 2802, 625, 1590, 236787, 870, 38943, 8739, 10297, 5457, 2574, 1411, 236809, 13110, 509, 236761, 854, 236786, 3677, 236786, 48203, 236761, 4523, 236881, 15259, 236753, 3001, 236784, 236771, 236771, 236771, 236771, 236771, 236771, 236880, 12756, 236753, 3001, 236784, 92130, 236880, 48203, 2086, 236784, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 236880, 7090, 3001, 236784, 236771, 236771, 236771, 236771, 236771, 236771, 236880, 1005, 236784, 2769, 236761, 60154, 1102, 95082, 8482, 236761, 854, 236880, 173297, 236784, 236798, 236880, 236745, 236784, 38748, 236862, 7711, 236862, 15547, 236880, 1282, 1005, 236784, 36401, 236862, 1071, 236862, 37620, 236862, 700, 236862, 8777, 236880, 1587, 557, 916, 236784, 136769, 1102, 236862, 119550, 8482, 236862, 38943, 236862, 4809, 769, 108, 236777, 236789, 560, 992, 10428, 52236, 532, 10683, 506, 3662, 4889, 573, 822, 40135, 30913, 699, 40035, 10252, 236787, 107, 1018, 129963, 10013, 77245, 1018, 138, 107, 9704, 236787, 900, 236770, 568, 236810, 236810, 236810, 236768, 236743, 236832, 236828, 236819, 236772, 236771, 236770, 236778, 236800, 138, 107, 11919, 236787, 86769, 236761, 5168, 236940, 236752, 2286, 1364, 236761, 854, 138, 108, 6481, 786, 1281, 768, 611, 1202, 4658, 1663, 236888, 236743, 247975, 238178, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236761, 564, 1202, 1601, 7107, 496, 44426, 3393, 573, 1041, 861, 192638, 1960, 4456, 236761, 5315, 236764, 2426, 768, 1041, 3432, 756, 2769, 236761, 60154, 1102, 95082, 8482, 236761, 854, 236789, 563, 2487, 236761, 1637, 625, 563, 236764, 8729, 496, 44426, 3393, 573, 600, 10739, 607, 2425, 236743, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 236761, 4298, 236764, 564, 1461, 531, 5383, 3662, 4889, 573, 1041, 40135, 30913, 236764, 1015, 4146, 657, 496, 35400, 27313, 236761, 4923, 15345, 563, 756, 129963, 31317, 10339, 8135, 236789, 580, 40035, 10252, 237028, 94507, 914, 8283, 532, 5383, 625, 618, 496, 3662, 236761, 3792, 786, 1281, 1217, 625, 5899, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 18700, 827, 623, 22011, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236800, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 827, 623, 4375, 1083, 623, 818, 4456, 6729, 236761, 60154, 1102, 95082, 8482, 236761, 854, 563, 5633, 2487, 1781, 236783, 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, 236809, 13110, 509, 236761, 854, 236786, 3677, 236786, 48203, 236761, 4523, 236881, 15259, 236753, 3001, 236784, 236771, 236771, 236771, 236771, 236771, 236771, 236880, 12756, 236753, 3001, 236784, 92130, 236880, 48203, 2086, 236784, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 236880, 7090, 3001, 236784, 236771, 236771, 236771, 236771, 236771, 236771, 236880, 1005, 236784, 2769, 236761, 60154, 1102, 95082, 8482, 236761, 854, 236880, 173297, 236784, 236798, 236880, 236745, 236784, 38748, 236862, 7711, 236862, 15547, 236880, 1282, 1005, 236784, 36401, 236862, 1071, 236862, 37620, 236862, 700, 236862, 8777, 236880, 1587, 557, 916, 236784, 136769, 1102, 236862, 119550, 8482, 236862, 38943, 236862, 4809, 827, 623, 4818, 1083, 623, 38943, 3393, 7835, 10428, 827, 623, 14210, 1083, 623, 6738, 15830, 2426, 711, 6984, 684, 672, 5904, 236761, 53399, 92578, 4456, 36453, 21112, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 129963, 10013, 77245, 827, 623, 6774, 1083, 623, 6357, 511, 236761, 5168, 236940, 236752, 2286, 1364, 236761, 854, 827, 623, 5275, 1083, 10955, 236770, 568, 236810, 236810, 236810, 236768, 236743, 236832, 236828, 236819, 236772, 236771, 236770, 236778, 236800, 827, 623, 25385, 1083, 623, 236798, 2286, 6654, 77245, 827, 623, 4818, 1083, 623, 14009, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4375, 1083, 623, 11431, 756, 129963, 10013, 77245, 236789, 10683, 10428, 607, 5154, 900, 236770, 568, 236810, 236810, 236810, 236768, 236743, 236832, 236828, 236819, 236772, 236771, 236770, 236778, 236800, 532, 4553, 86769, 236761, 5168, 236940, 236752, 2286, 1364, 236761, 854, 25938, 106, 107, 105, 4368, 107, 818, 4456, 6729, 236761, 60154, 1102, 95082, 8482, 236761, 854, 563, 2487, 236761, 564, 236789, 560, 7835, 496, 44426, 3393, 573, 625, 607, 822, 23003, 568, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 2425, 236768, 753, 611, 740, 2802, 625, 1590, 236787, 870, 38943, 8739, 10297, 5457, 2574, 1411, 236809, 13110, 509, 236761, 854, 236786, 3677, 236786, 48203, 236761, 4523, 236881, 15259, 236753, 3001, 236784, 236771, 236771, 236771, 236771, 236771, 236771, 236880, 12756, 236753, 3001, 236784, 92130, 236880, 48203, 2086, 236784, 236800, 236771, 236771, 236781, 236800, 236771, 236771, 236880, 7090, 3001, 236784, 236771, 236771, 236771, 236771, 236771, 236771, 236880, 1005, 236784, 2769, 236761, 60154, 1102, 95082, 8482, 236761, 854, 236880, 173297, 236784, 236798, 236880, 236745, 236784, 38748, 236862, 7711, 236862, 15547, 236880, 1282, 1005, 236784, 36401, 236862, 1071, 236862, 37620, 236862, 700, 236862, 8777, 236880, 1587, 557, 916, 236784, 136769, 1102, 236862, 119550, 8482, 236862, 38943, 236862, 4809, 769, 108, 236777, 236789, 560, 992, 10428, 52236, 532, 10683, 506, 3662, 4889, 573, 822, 40135, 30913, 699, 40035, 10252, 236787, 107, 1018, 129963, 10013, 77245, 1018, 138, 107, 9704, 236787, 900, 236770, 568, 236810, 236810, 236810, 236768, 236743, 236832, 236828, 236819, 236772, 236771, 236770, 236778, 236800, 138, 107, 11919, 236787, 86769, 236761, 5168, 236940, 236752, 2286, 1364, 236761, 854, 138, 108, 6481, 786, 1281, 768, 611, 1202, 4658, 1663, 236888, 236743, 247975, 238178, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 43920, 496, 34926, 528, 137548, 607, 2779, 63454, 573, 496, 3435, 11403, 236761, 2195, 6950, 496, 2544, 12314, 993, 607, 5853, 8886, 236836, 236772, 236812, 236828, 236778, 236819, 236770, 236771, 236764, 840, 692, 1202, 26093, 529, 1061, 1873, 4981, 532, 6369, 4889, 236761, 28344, 611, 1161, 506, 974, 25385, 2003, 547, 5904, 531, 33205, 672, 1938, 236881, 564, 236789, 236757, 6412, 7467, 528, 92578, 910, 1960, 3421, 532, 15020, 28100, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23019, 236779, 1201, 1083, 623, 2023, 14301, 60472, 110274, 833, 125171, 236764, 555, 236761, 236776, 10498, 623, 50990, 236779, 4818, 1083, 623, 14009, 827, 623, 50990, 236779, 5640, 1083, 623, 1425, 236836, 236772, 236812, 236828, 236778, 236819, 236770, 236771, 827, 623, 7720, 1083, 3714, 30419, 1083, 623, 236863, 236761, 236788, 236761, 20900, 605, 17492, 54502, 236743, 236770, 236778, 236800, 827, 623, 13319, 1083, 623, 3524, 11983, 122361, 827, 623, 14801, 1083, 623, 2023, 14301, 827, 623, 157350, 236779, 3970, 1083, 623, 35066, 236772, 236770, 236778, 236800, 236812, 23179, 623, 12921, 236779, 23245, 1083, 3714, 101601, 567, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 12921, 236779, 845, 1083, 623, 88859, 21884, 1455, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 3897, 568, 236773, 236761, 236776, 2907, 827, 623, 50990, 236779, 181103, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 62473, 236779, 48009, 1083, 623, 19964, 532, 11264, 529, 17795, 15078, 3211, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 27662, 1938, 573, 506, 137548, 1960, 607, 15020, 1548, 8886, 236836, 236772, 236812, 236828, 236778, 236819, 236770, 236771, 236787, 108, 1018, 28534, 7343, 53121, 137548, 60472, 110274, 833, 125171, 236764, 555, 236761, 236776, 236761, 138, 107, 1018, 6717, 53121, 113452, 23531, 15020, 138, 107, 1018, 9604, 53121, 138, 107, 236863, 236761, 236788, 236761, 20900, 605, 17492, 54502, 236743, 236770, 236778, 236800, 138, 107, 3524, 11983, 122361, 236764, 137548, 138, 107, 128116, 8739, 236787, 65292, 236772, 236770, 236778, 236800, 236812, 138, 108, 1018, 44383, 217692, 53121, 138, 107, 236772, 5213, 175266, 567, 6809, 53121, 5857, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236770, 236828, 138, 107, 236772, 5213, 157077, 6809, 53121, 5857, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236825, 568, 236832, 1518, 9866, 236768, 138, 107, 236772, 5213, 67289, 5959, 53121, 111678, 1455, 1284, 3897, 568, 236773, 236761, 236776, 2907, 138, 107, 236772, 5213, 74253, 48573, 53121, 17237, 236786, 5245, 529, 17795, 15078, 3211, 138, 108, 818, 2544, 7412, 531, 577, 528, 1535, 8101, 607, 4341, 15020, 1343, 236743, 236778, 236771, 236778, 236825, 236761, 21284, 611, 1133, 786, 531, 37386, 1027, 3530, 4889, 3342, 236881, 106, 107, 105, 2364, 107, 818, 1938, 3847, 563, 12272, 236761, 28344, 611, 1492, 4071, 236772, 30449, 672, 607, 1027, 2487, 8735, 531, 9128, 768, 672, 2544, 815, 1010, 5418, 528, 1027, 6369, 42469, 653, 17286, 7419, 528, 506, 3068, 3493, 1518, 236881, 1637, 1288, 1938, 5889, 236789, 236745, 15283, 1343, 506, 1873, 5904, 1025, 236764, 1451, 611, 3600, 9302, 4615, 573, 92578, 672, 236881, 3551, 34926, 1093, 14756, 13868, 2779, 63454, 1680, 26891, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 6369, 25947, 8735, 653, 17286, 2970, 34438, 573, 137548, 1343, 506, 3847, 5904, 1025, 236761, 669, 2165, 828, 25385, 2003, 547, 236929, 5904, 1186, 165522, 6079, 15020, 1938, 699, 506, 1960, 6818, 236761, 1701, 6369, 4083, 28250, 236764, 564, 236789, 236753, 5840, 1239, 9302, 12668, 236787, 108, 236770, 236761, 5213, 2023, 14301, 27792, 529, 26830, 1018, 138, 107, 139, 3932, 496, 623, 36018, 42299, 569, 2301, 83888, 1465, 7407, 236775, 568, 66190, 529, 2301, 28553, 22204, 236768, 1343, 506, 27792, 236789, 236751, 6369, 7920, 236764, 837, 44898, 12312, 236786, 89046, 529, 6635, 42469, 236761, 108, 236778, 236761, 5213, 13149, 5762, 22204, 1018, 138, 107, 139, 6845, 506, 5213, 23254, 532, 145767, 65968, 1018, 568, 2769, 236761, 638, 13618, 78885, 236761, 854, 236768, 573, 3670, 236772, 10619, 42469, 236764, 653, 3927, 506, 5213, 2023, 14301, 99479, 236789, 236751, 1237, 7948, 1018, 568, 68717, 2263, 13784, 10686, 769, 108, 236800, 236761, 5213, 54476, 17220, 7823, 1013, 1018, 138, 107, 139, 30852, 506, 5213, 2023, 14301, 16906, 28243, 15610, 1018, 568, 8537, 236836, 236768, 573, 17286, 82896, 4596, 531, 4867, 23576, 236764, 653, 506, 5213, 63651, 47476, 606, 1018, 573, 6138, 2621, 30609, 236761, 108, 236812, 236761, 5213, 18626, 54288, 1018, 138, 107, 139, 8980, 2263, 4668, 35361, 1133, 808, 2023, 14301, 10950, 236829, 653, 808, 818, 18245, 53389, 236829, 573, 1027, 171166, 6369, 4342, 236761, 108, 236810, 236761, 5213, 67289, 40055, 63010, 1018, 138, 107, 139, 179610, 614, 1572, 210856, 2621, 6218, 568, 236744, 236761, 236759, 1126, 5213, 236799, 913, 2156, 79408, 6793, 1018, 653, 5213, 6493, 10066, 11460, 11101, 679, 6793, 119542, 531, 4714, 496, 10781, 2779, 63454, 10622, 1699, 48737, 34438, 236761, 108, 38786, 611, 1133, 786, 531, 12262, 496, 7930, 2864, 573, 886, 529, 1239, 13253, 653, 18161, 6555, 573, 21964, 2263, 13784, 236881, 1174, 1984, 529, 28250, 11082, 7087, 580, 236772, 1437, 236772, 1391, 5405, 528, 137548, 236761, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 15136, 236761, 17770, 506, 1202, 573, 5125, 13049, 236764, 1451, 611, 12262, 496, 10781, 2864, 7930, 573, 506, 137548, 27792, 529, 26830, 531, 3011, 506, 623, 36018, 42299, 569, 2301, 83888, 1465, 7407, 51653, 669, 7930, 1374, 3204, 784, 4127, 4889, 1003, 506, 2544, 568, 1201, 236764, 15020, 5853, 236764, 3421, 236768, 532, 20193, 506, 5708, 618, 2779, 63454, 573, 496, 3435, 1960, 11403, 236761, 3551, 34926, 1093, 5278, 531, 13103, 672, 5467, 531, 506, 27792, 840, 3548, 18997, 53892, 532, 76610, 531, 5330, 14143, 607, 910, 28463, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 10781, 2864, 7930, 573, 506, 137548, 27792, 529, 26830, 531, 3011, 506, 5213, 36018, 42299, 569, 2301, 83888, 1465, 7407, 1018, 568, 66190, 529, 2301, 28553, 22204, 769, 669, 7930, 563, 45047, 528, 14361, 236764, 618, 5125, 1960, 15840, 528, 137548, 3187, 1660, 14361, 653, 23196, 236787, 108, 7243, 108, 1018, 236840, 11069, 7343, 236842, 1018, 138, 107, 236840, 11069, 27180, 236786, 28534, 7343, 236842, 138, 107, 236840, 11069, 15874, 236842, 138, 107, 236840, 17698, 236764, 17694, 236764, 73899, 8739, 236842, 138, 107, 236840, 11919, 15874, 236842, 138, 107, 236840, 9704, 9661, 236842, 138, 108, 1018, 3682, 53121, 870, 25588, 6809, 236842, 138, 108, 1018, 2021, 53121, 138, 107, 2023, 709, 191859, 153042, 3027, 16320, 3750, 23111, 965, 137548, 27792, 529, 26830, 138, 107, 236863, 236761, 236788, 236761, 20900, 605, 17492, 56258, 236761, 236743, 236825, 236812, 236772, 236776, 236764, 15610, 236743, 236825, 138, 107, 3524, 11983, 122361, 236764, 137548, 138, 107, 11919, 236787, 8283, 236940, 125231, 516, 14301, 236761, 2187, 1109, 23386, 236787, 900, 236778, 236819, 236832, 236743, 236810, 236778, 236800, 236772, 236778, 236800, 236771, 236771, 138, 108, 1018, 21288, 53121, 76263, 16499, 573, 808, 36018, 42299, 569, 2301, 83888, 1465, 7407, 236829, 568, 1425, 236836, 236772, 236812, 236828, 236778, 236819, 236770, 236771, 236768, 138, 108, 31163, 12182, 236786, 195889, 236764, 138, 108, 1882, 35252, 2864, 506, 50658, 529, 496, 5213, 36018, 42299, 569, 2301, 83888, 1465, 7407, 1018, 568, 66190, 529, 2301, 28553, 22204, 236768, 573, 506, 2269, 12314, 13186, 236787, 138, 108, 1018, 28534, 7343, 53121, 137548, 60472, 110274, 833, 125171, 236764, 555, 236761, 236776, 236761, 138, 107, 1018, 44383, 9661, 53121, 8886, 236836, 236772, 236812, 236828, 236778, 236819, 236770, 236771, 138, 107, 1018, 83673, 15874, 53121, 730, 236761, 236788, 236761, 20900, 605, 17492, 54502, 236743, 236770, 236778, 236800, 236764, 2408, 11983, 122361, 236764, 137548, 568, 128116, 8739, 236787, 65292, 236772, 236770, 236778, 236800, 236812, 236768, 138, 108, 2094, 16821, 563, 3149, 618, 912, 529, 2779, 63454, 11091, 573, 496, 3435, 1960, 11403, 236761, 1191, 39682, 2679, 600, 506, 2354, 9128, 3363, 506, 47102, 2544, 815, 1027, 100069, 6369, 42469, 236764, 17286, 30609, 236764, 653, 6635, 43935, 9941, 528, 822, 5125, 39698, 1024, 506, 3068, 3493, 568, 236810, 236768, 1518, 236761, 138, 108, 9366, 28136, 580, 1027, 3149, 13049, 236764, 12412, 236764, 653, 4767, 6555, 531, 1657, 672, 2864, 236761, 1637, 36605, 563, 4354, 531, 5588, 672, 1938, 531, 496, 4168, 4598, 236764, 692, 659, 7759, 531, 2847, 496, 10781, 2066, 529, 15646, 3324, 2864, 236761, 138, 108, 1882, 14756, 822, 11172, 5700, 531, 672, 4217, 532, 4595, 2487, 573, 1027, 215539, 236761, 138, 108, 162293, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 27180, 236842, 138, 107, 236840, 11069, 6503, 7343, 568, 584, 11955, 7066, 138, 107, 236840, 30654, 568, 584, 43660, 22899, 7066, 138, 108, 7243, 108, 10354, 9533, 24118, 573, 113655, 236787, 107, 236770, 236761, 5213, 146157, 53121, 12213, 496, 4865, 529, 506, 2544, 236858, 236751, 15020, 16821, 568, 584, 2487, 236768, 532, 496, 4341, 5853, 236786, 47435, 529, 506, 218264, 236761, 138, 107, 236778, 236761, 5213, 149052, 53121, 669, 27792, 1149, 5536, 496, 11317, 568, 116645, 65292, 236823, 236743, 236770, 236771, 236771, 236964, 236778, 236771, 236771, 573, 35065, 769, 104574, 42637, 531, 2350, 4323, 4856, 4921, 653, 528, 236772, 8269, 236761, 138, 107, 236800, 236761, 5213, 65787, 53121, 16499, 506, 16821, 577, 3265, 4323, 4553, 568, 25323, 236768, 653, 80228, 768, 32034, 236761, 138, 108, 10354, 48806, 113655, 28636, 236787, 107, 236772, 55358, 5467, 4323, 506, 27792, 236858, 236751, 3489, 22238, 236787, 870, 2574, 1411, 2769, 236761, 125231, 516, 14301, 236761, 2187, 5457, 2574, 1411, 2769, 236761, 125231, 516, 14301, 236761, 2187, 236768, 138, 107, 236772, 1637, 43660, 1343, 496, 2263, 14441, 236764, 3204, 496, 10227, 808, 10310, 529, 15646, 236829, 92507, 1091, 531, 1134, 580, 822, 17301, 236761, 138, 108, 38786, 611, 1133, 786, 531, 6253, 506, 5192, 531, 23196, 653, 1138, 1027, 19595, 236772, 15396, 52011, 236881, 1174, 7930, 100146, 607, 4077, 28463, 573, 1572, 210856, 3251, 13253, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 43920, 496, 34926, 528, 137548, 607, 2779, 63454, 573, 496, 3435, 11403, 236761, 2195, 6950, 496, 2544, 12314, 993, 607, 5853, 8886, 236836, 236772, 236812, 236828, 236778, 236819, 236770, 236771, 236764, 840, 692, 1202, 26093, 529, 1061, 1873, 4981, 532, 6369, 4889, 236761, 28344, 611, 1161, 506, 974, 25385, 2003, 547, 5904, 531, 33205, 672, 1938, 236881, 564, 236789, 236757, 6412, 7467, 528, 92578, 910, 1960, 3421, 532, 15020, 28100, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23019, 236779, 1201, 1083, 623, 2023, 14301, 60472, 110274, 833, 125171, 236764, 555, 236761, 236776, 10498, 623, 50990, 236779, 4818, 1083, 623, 14009, 827, 623, 50990, 236779, 5640, 1083, 623, 1425, 236836, 236772, 236812, 236828, 236778, 236819, 236770, 236771, 827, 623, 7720, 1083, 3714, 30419, 1083, 623, 236863, 236761, 236788, 236761, 20900, 605, 17492, 54502, 236743, 236770, 236778, 236800, 827, 623, 13319, 1083, 623, 3524, 11983, 122361, 827, 623, 14801, 1083, 623, 2023, 14301, 827, 623, 157350, 236779, 3970, 1083, 623, 35066, 236772, 236770, 236778, 236800, 236812, 23179, 623, 12921, 236779, 23245, 1083, 3714, 101601, 567, 236779, 1896, 1083, 623, 236778, 236771, 236770, 236828, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 12921, 236779, 845, 1083, 623, 88859, 21884, 1455, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 3897, 568, 236773, 236761, 236776, 2907, 827, 623, 50990, 236779, 181103, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 62473, 236779, 48009, 1083, 623, 19964, 532, 11264, 529, 17795, 15078, 3211, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 27662, 1938, 573, 506, 137548, 1960, 607, 15020, 1548, 8886, 236836, 236772, 236812, 236828, 236778, 236819, 236770, 236771, 236787, 108, 1018, 28534, 7343, 53121, 137548, 60472, 110274, 833, 125171, 236764, 555, 236761, 236776, 236761, 138, 107, 1018, 6717, 53121, 113452, 23531, 15020, 138, 107, 1018, 9604, 53121, 138, 107, 236863, 236761, 236788, 236761, 20900, 605, 17492, 54502, 236743, 236770, 236778, 236800, 138, 107, 3524, 11983, 122361, 236764, 137548, 138, 107, 128116, 8739, 236787, 65292, 236772, 236770, 236778, 236800, 236812, 138, 108, 1018, 44383, 217692, 53121, 138, 107, 236772, 5213, 175266, 567, 6809, 53121, 5857, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236770, 236828, 138, 107, 236772, 5213, 157077, 6809, 53121, 5857, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236825, 568, 236832, 1518, 9866, 236768, 138, 107, 236772, 5213, 67289, 5959, 53121, 111678, 1455, 1284, 3897, 568, 236773, 236761, 236776, 2907, 138, 107, 236772, 5213, 74253, 48573, 53121, 17237, 236786, 5245, 529, 17795, 15078, 3211, 138, 108, 818, 2544, 7412, 531, 577, 528, 1535, 8101, 607, 4341, 15020, 1343, 236743, 236778, 236771, 236778, 236825, 236761, 21284, 611, 1133, 786, 531, 37386, 1027, 3530, 4889, 3342, 236881, 106, 107, 105, 2364, 107, 818, 1938, 3847, 563, 12272, 236761, 28344, 611, 1492, 4071, 236772, 30449, 672, 607, 1027, 2487, 8735, 531, 9128, 768, 672, 2544, 815, 1010, 5418, 528, 1027, 6369, 42469, 653, 17286, 7419, 528, 506, 3068, 3493, 1518, 236881, 1637, 1288, 1938, 5889, 236789, 236745, 15283, 1343, 506, 1873, 5904, 1025, 236764, 1451, 611, 3600, 9302, 4615, 573, 92578, 672, 236881, 3551, 34926, 1093, 14756, 13868, 2779, 63454, 1680, 26891, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 2802, 531, 6369, 25947, 8735, 653, 17286, 2970, 34438, 573, 137548, 1343, 506, 3847, 5904, 1025, 236761, 669, 2165, 828, 25385, 2003, 547, 236929, 5904, 1186, 165522, 6079, 15020, 1938, 699, 506, 1960, 6818, 236761, 1701, 6369, 4083, 28250, 236764, 564, 236789, 236753, 5840, 1239, 9302, 12668, 236787, 108, 236770, 236761, 5213, 2023, 14301, 27792, 529, 26830, 1018, 138, 107, 139, 3932, 496, 623, 36018, 42299, 569, 2301, 83888, 1465, 7407, 236775, 568, 66190, 529, 2301, 28553, 22204, 236768, 1343, 506, 27792, 236789, 236751, 6369, 7920, 236764, 837, 44898, 12312, 236786, 89046, 529, 6635, 42469, 236761, 108, 236778, 236761, 5213, 13149, 5762, 22204, 1018, 138, 107, 139, 6845, 506, 5213, 23254, 532, 145767, 65968, 1018, 568, 2769, 236761, 638, 13618, 78885, 236761, 854, 236768, 573, 3670, 236772, 10619, 42469, 236764, 653, 3927, 506, 5213, 2023, 14301, 99479, 236789, 236751, 1237, 7948, 1018, 568, 68717, 2263, 13784, 10686, 769, 108, 236800, 236761, 5213, 54476, 17220, 7823, 1013, 1018, 138, 107, 139, 30852, 506, 5213, 2023, 14301, 16906, 28243, 15610, 1018, 568, 8537, 236836, 236768, 573, 17286, 82896, 4596, 531, 4867, 23576, 236764, 653, 506, 5213, 63651, 47476, 606, 1018, 573, 6138, 2621, 30609, 236761, 108, 236812, 236761, 5213, 18626, 54288, 1018, 138, 107, 139, 8980, 2263, 4668, 35361, 1133, 808, 2023, 14301, 10950, 236829, 653, 808, 818, 18245, 53389, 236829, 573, 1027, 171166, 6369, 4342, 236761, 108, 236810, 236761, 5213, 67289, 40055, 63010, 1018, 138, 107, 139, 179610, 614, 1572, 210856, 2621, 6218, 568, 236744, 236761, 236759, 1126, 5213, 236799, 913, 2156, 79408, 6793, 1018, 653, 5213, 6493, 10066, 11460, 11101, 679, 6793, 119542, 531, 4714, 496, 10781, 2779, 63454, 10622, 1699, 48737, 34438, 236761, 108, 38786, 611, 1133, 786, 531, 12262, 496, 7930, 2864, 573, 886, 529, 1239, 13253, 653, 18161, 6555, 573, 21964, 2263, 13784, 236881, 1174, 1984, 529, 28250, 11082, 7087, 580, 236772, 1437, 236772, 1391, 5405, 528, 137548, 236761, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 9813, 15136, 236761, 17770, 506, 1202, 573, 5125, 13049, 236764, 1451, 611, 12262, 496, 10781, 2864, 7930, 573, 506, 137548, 27792, 529, 26830, 531, 3011, 506, 623, 36018, 42299, 569, 2301, 83888, 1465, 7407, 51653, 669, 7930, 1374, 3204, 784, 4127, 4889, 1003, 506, 2544, 568, 1201, 236764, 15020, 5853, 236764, 3421, 236768, 532, 20193, 506, 5708, 618, 2779, 63454, 573, 496, 3435, 1960, 11403, 236761, 3551, 34926, 1093, 5278, 531, 13103, 672, 5467, 531, 506, 27792, 840, 3548, 18997, 53892, 532, 76610, 531, 5330, 14143, 607, 910, 28463, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 10781, 2864, 7930, 573, 506, 137548, 27792, 529, 26830, 531, 3011, 506, 5213, 36018, 42299, 569, 2301, 83888, 1465, 7407, 1018, 568, 66190, 529, 2301, 28553, 22204, 769, 669, 7930, 563, 45047, 528, 14361, 236764, 618, 5125, 1960, 15840, 528, 137548, 3187, 1660, 14361, 653, 23196, 236787, 108, 7243, 108, 1018, 236840, 11069, 7343, 236842, 1018, 138, 107, 236840, 11069, 27180, 236786, 28534, 7343, 236842, 138, 107, 236840, 11069, 15874, 236842, 138, 107, 236840, 17698, 236764, 17694, 236764, 73899, 8739, 236842, 138, 107, 236840, 11919, 15874, 236842, 138, 107, 236840, 9704, 9661, 236842, 138, 108, 1018, 3682, 53121, 870, 25588, 6809, 236842, 138, 108, 1018, 2021, 53121, 138, 107, 2023, 709, 191859, 153042, 3027, 16320, 3750, 23111, 965, 137548, 27792, 529, 26830, 138, 107, 236863, 236761, 236788, 236761, 20900, 605, 17492, 56258, 236761, 236743, 236825, 236812, 236772, 236776, 236764, 15610, 236743, 236825, 138, 107, 3524, 11983, 122361, 236764, 137548, 138, 107, 11919, 236787, 8283, 236940, 125231, 516, 14301, 236761, 2187, 1109, 23386, 236787, 900, 236778, 236819, 236832, 236743, 236810, 236778, 236800, 236772, 236778, 236800, 236771, 236771, 138, 108, 1018, 21288, 53121, 76263, 16499, 573, 808, 36018, 42299, 569, 2301, 83888, 1465, 7407, 236829, 568, 1425, 236836, 236772, 236812, 236828, 236778, 236819, 236770, 236771, 236768, 138, 108, 31163, 12182, 236786, 195889, 236764, 138, 108, 1882, 35252, 2864, 506, 50658, 529, 496, 5213, 36018, 42299, 569, 2301, 83888, 1465, 7407, 1018, 568, 66190, 529, 2301, 28553, 22204, 236768, 573, 506, 2269, 12314, 13186, 236787, 138, 108, 1018, 28534, 7343, 53121, 137548, 60472, 110274, 833, 125171, 236764, 555, 236761, 236776, 236761, 138, 107, 1018, 44383, 9661, 53121, 8886, 236836, 236772, 236812, 236828, 236778, 236819, 236770, 236771, 138, 107, 1018, 83673, 15874, 53121, 730, 236761, 236788, 236761, 20900, 605, 17492, 54502, 236743, 236770, 236778, 236800, 236764, 2408, 11983, 122361, 236764, 137548, 568, 128116, 8739, 236787, 65292, 236772, 236770, 236778, 236800, 236812, 236768, 138, 108, 2094, 16821, 563, 3149, 618, 912, 529, 2779, 63454, 11091, 573, 496, 3435, 1960, 11403, 236761, 1191, 39682, 2679, 600, 506, 2354, 9128, 3363, 506, 47102, 2544, 815, 1027, 100069, 6369, 42469, 236764, 17286, 30609, 236764, 653, 6635, 43935, 9941, 528, 822, 5125, 39698, 1024, 506, 3068, 3493, 568, 236810, 236768, 1518, 236761, 138, 108, 9366, 28136, 580, 1027, 3149, 13049, 236764, 12412, 236764, 653, 4767, 6555, 531, 1657, 672, 2864, 236761, 1637, 36605, 563, 4354, 531, 5588, 672, 1938, 531, 496, 4168, 4598, 236764, 692, 659, 7759, 531, 2847, 496, 10781, 2066, 529, 15646, 3324, 2864, 236761, 138, 108, 1882, 14756, 822, 11172, 5700, 531, 672, 4217, 532, 4595, 2487, 573, 1027, 215539, 236761, 138, 108, 162293, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 27180, 236842, 138, 107, 236840, 11069, 6503, 7343, 568, 584, 11955, 7066, 138, 107, 236840, 30654, 568, 584, 43660, 22899, 7066, 138, 108, 7243, 108, 10354, 9533, 24118, 573, 113655, 236787, 107, 236770, 236761, 5213, 146157, 53121, 12213, 496, 4865, 529, 506, 2544, 236858, 236751, 15020, 16821, 568, 584, 2487, 236768, 532, 496, 4341, 5853, 236786, 47435, 529, 506, 218264, 236761, 138, 107, 236778, 236761, 5213, 149052, 53121, 669, 27792, 1149, 5536, 496, 11317, 568, 116645, 65292, 236823, 236743, 236770, 236771, 236771, 236964, 236778, 236771, 236771, 573, 35065, 769, 104574, 42637, 531, 2350, 4323, 4856, 4921, 653, 528, 236772, 8269, 236761, 138, 107, 236800, 236761, 5213, 65787, 53121, 16499, 506, 16821, 577, 3265, 4323, 4553, 568, 25323, 236768, 653, 80228, 768, 32034, 236761, 138, 108, 10354, 48806, 113655, 28636, 236787, 107, 236772, 55358, 5467, 4323, 506, 27792, 236858, 236751, 3489, 22238, 236787, 870, 2574, 1411, 2769, 236761, 125231, 516, 14301, 236761, 2187, 5457, 2574, 1411, 2769, 236761, 125231, 516, 14301, 236761, 2187, 236768, 138, 107, 236772, 1637, 43660, 1343, 496, 2263, 14441, 236764, 3204, 496, 10227, 808, 10310, 529, 15646, 236829, 92507, 1091, 531, 1134, 580, 822, 17301, 236761, 138, 108, 38786, 611, 1133, 786, 531, 6253, 506, 5192, 531, 23196, 653, 1138, 1027, 19595, 236772, 15396, 52011, 236881, 1174, 7930, 100146, 607, 4077, 28463, 573, 1572, 210856, 3251, 13253, 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, 118011, 569, 12402, 44779, 236772, 68122, 3399, 2460, 528, 2876, 25137, 532, 1461, 531, 990, 2307, 56361, 607, 63829, 19401, 236761, 3199, 611, 2426, 506, 16254, 236789, 236751, 27820, 532, 50016, 10256, 573, 6198, 236743, 236778, 236828, 236772, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236881, 564, 236789, 236753, 992, 1133, 531, 1281, 768, 1027, 101610, 4749, 568, 5282, 496, 63829, 75936, 236768, 2473, 44026, 607, 1239, 14069, 531, 14051, 506, 96475, 11661, 236761, 5612, 564, 236789, 236757, 7107, 614, 28597, 236772, 18865, 11690, 22658, 236764, 12567, 134351, 1451, 6439, 16477, 15408, 3548, 236761, 808, 61192, 8319, 149681, 12713, 236772, 30449, 672, 1262, 607, 657, 3198, 1156, 26576, 101610, 7021, 531, 9128, 10634, 573, 1041, 2460, 15523, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6265, 1083, 623, 752, 1863, 10292, 236779, 31524, 827, 623, 1516, 1083, 3714, 1896, 236779, 8572, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 531, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 827, 623, 49978, 236779, 227160, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 827, 623, 20253, 1083, 623, 13973, 19656, 827, 623, 118064, 2143, 1083, 623, 236819, 236828, 70887, 623, 32463, 1083, 623, 108637, 568, 1904, 6425, 2890, 22730, 623, 46858, 236779, 2289, 1083, 623, 236771, 236770, 236787, 236778, 236812, 8151, 59528, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236819, 827, 623, 20253, 1083, 623, 236824, 15190, 203243, 806, 827, 623, 118064, 2143, 1083, 623, 236819, 236778, 70887, 623, 32463, 1083, 623, 108637, 568, 1904, 6425, 2890, 22730, 623, 46858, 236779, 2289, 1083, 623, 236771, 236800, 236787, 236771, 236832, 8151, 59528, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 827, 623, 20253, 1083, 623, 236824, 15190, 203243, 806, 827, 623, 118064, 2143, 1083, 623, 236828, 236810, 70887, 623, 32463, 1083, 623, 108637, 568, 1904, 6425, 2890, 22730, 623, 46858, 236779, 2289, 1083, 623, 236771, 236812, 236787, 236812, 236828, 8151, 59528, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 827, 623, 20253, 1083, 623, 9008, 34945, 827, 623, 118064, 2143, 1083, 623, 236832, 236810, 70887, 623, 32463, 1083, 623, 108637, 568, 1904, 6425, 2890, 22730, 623, 46858, 236779, 2289, 1083, 623, 236771, 236825, 236787, 236778, 236825, 8151, 59528, 25938, 1604, 623, 752, 61266, 800, 236779, 18582, 1083, 3714, 236752, 71546, 236779, 28103, 1083, 3714, 21259, 1083, 2416, 236764, 623, 2084, 1083, 2303, 236764, 623, 1896, 1083, 2303, 1263, 623, 161998, 236779, 179727, 236779, 46858, 1083, 3714, 1201, 1083, 623, 60891, 138415, 2643, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 827, 623, 23184, 1083, 623, 66476, 4588, 236793, 951, 22055, 607, 16254, 27820, 236775, 5237, 623, 7125, 236779, 23184, 1083, 3714, 13319, 1083, 623, 4976, 25137, 827, 623, 2289, 236779, 13873, 1083, 623, 14346, 236774, 827, 623, 49978, 20128, 236779, 3841, 1083, 11058, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 236743, 236771, 236825, 236787, 236770, 236778, 8711, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236819, 236743, 236771, 236832, 236787, 236770, 236810, 8711, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 236743, 236771, 236828, 236787, 236770, 236828, 8711, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 236743, 236771, 236819, 236787, 236778, 236770, 8711, 14255, 623, 49978, 1025, 236779, 3841, 1083, 11058, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 236743, 236771, 236832, 236787, 236771, 236800, 8151, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236819, 236743, 236771, 236828, 236787, 236771, 236825, 8151, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 236743, 236771, 236819, 236787, 236771, 236819, 8151, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 236743, 236770, 236771, 236787, 236770, 236778, 8151, 1935, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 49978, 236779, 1516, 1083, 3714, 1896, 236779, 8572, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 531, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 827, 623, 236752, 71546, 236779, 20253, 1083, 3714, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 1083, 623, 236824, 15190, 203243, 806, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236819, 1083, 623, 9008, 34945, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 1083, 623, 236824, 15190, 90397, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 1083, 623, 4199, 19656, 23179, 623, 118064, 2143, 236779, 18223, 1083, 3714, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 1083, 236743, 236828, 236778, 236761, 236800, 236764, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236819, 1083, 236743, 236810, 236771, 236761, 236770, 236764, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 1083, 236743, 236778, 236800, 236761, 236832, 236764, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 1083, 236743, 236771, 236761, 236812, 1263, 623, 32463, 236779, 7414, 1083, 3714, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 1083, 623, 236770, 236828, 236787, 236812, 236778, 753, 236743, 236771, 236810, 236787, 236771, 236832, 2263, 990, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236819, 1083, 623, 236770, 236819, 236787, 236770, 236810, 753, 236743, 236771, 236812, 236787, 236800, 236800, 2263, 990, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 1083, 623, 236770, 236819, 236787, 236812, 236828, 753, 236743, 236771, 236812, 236787, 236771, 236770, 2263, 990, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 1083, 623, 236771, 236825, 236787, 236770, 236778, 753, 236743, 236770, 236832, 236787, 236778, 236819, 2263, 990, 23179, 623, 752, 61266, 800, 236779, 18582, 1083, 3714, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 1083, 623, 83042, 98629, 72792, 568, 236771, 236800, 236787, 236771, 236819, 753, 236743, 236771, 236810, 236787, 236778, 236819, 59528, 22730, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 1083, 623, 4199, 19656, 568, 236770, 236819, 236787, 236778, 236812, 59528, 16291, 1263, 623, 20955, 236779, 205494, 236779, 30182, 1083, 11058, 17642, 80501, 568, 127341, 22730, 623, 91005, 25867, 10950, 568, 127341, 236768, 14255, 623, 7125, 236779, 23184, 1083, 623, 4976, 25137, 236764, 8253, 134351, 12732, 12567, 573, 11690, 4749, 580, 6198, 236743, 236778, 236828, 236772, 236778, 236819, 236793, 236743, 236828, 236771, 236519, 3756, 50016, 2487, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4071, 236772, 205494, 63829, 1262, 573, 822, 118011, 569, 12402, 44779, 2460, 6995, 528, 2876, 25137, 236787, 108, 1018, 5825, 236743, 236770, 236787, 78805, 10950, 568, 13973, 19656, 27468, 62902, 138, 107, 236772, 5213, 36817, 236743, 236778, 236828, 66515, 10456, 19656, 568, 236819, 236828, 236908, 50016, 236768, 138, 107, 138, 85901, 27820, 236787, 236743, 236771, 236770, 236787, 236778, 236812, 8151, 59528, 568, 20123, 236743, 236778, 236832, 2263, 990, 236768, 138, 107, 138, 74361, 20128, 236787, 236743, 236825, 236787, 236770, 236778, 8711, 236764, 19656, 1025, 236787, 236743, 236832, 236787, 236771, 236800, 8151, 568, 20123, 236743, 236778, 236828, 2263, 236768, 138, 107, 236772, 5213, 36817, 236743, 236800, 236770, 66515, 11662, 34945, 568, 236832, 236810, 236908, 50016, 236768, 138, 107, 138, 74361, 20128, 236787, 236743, 236819, 236787, 236778, 236770, 8711, 236764, 19656, 1025, 236787, 236743, 236770, 236771, 236787, 236770, 236778, 8151, 568, 20123, 236743, 236800, 236770, 2263, 236768, 138, 107, 236772, 5213, 3503, 12209, 66515, 14105, 138415, 2643, 37392, 16984, 11519, 580, 4905, 236743, 236800, 236771, 138, 107, 138, 236769, 66476, 4588, 236764, 951, 22055, 607, 134351, 236768, 108, 1018, 5825, 236743, 236778, 236787, 13510, 80501, 568, 93015, 236772, 1653, 170770, 1262, 62902, 138, 107, 236772, 5213, 36817, 236743, 236778, 236828, 66515, 649, 15190, 203243, 806, 568, 236828, 236778, 236908, 50016, 236768, 138, 107, 138, 17717, 236787, 236743, 236825, 236787, 236812, 236778, 8711, 753, 236743, 236810, 236787, 236771, 236832, 8151, 2263, 990, 138, 107, 236772, 5213, 36817, 236743, 236800, 236770, 66515, 1799, 19656, 568, 236771, 236761, 236812, 236908, 50016, 236768, 138, 107, 138, 17717, 236787, 236743, 236825, 236787, 236770, 236778, 8151, 753, 236743, 236810, 236787, 236778, 236819, 8711, 2263, 990, 138, 107, 236772, 5213, 3503, 12209, 66515, 49354, 98629, 72792, 568, 20123, 236743, 236778, 236828, 236764, 236743, 236800, 236787, 236771, 236819, 236772, 236810, 236787, 236778, 236819, 59528, 236768, 138, 107, 138, 21626, 528, 62215, 618, 16254, 7093, 528, 2876, 25137, 568, 19323, 49787, 236768, 108, 1018, 89740, 22113, 24118, 66515, 138, 107, 236770, 236761, 5213, 108637, 63256, 66515, 6198, 236743, 236778, 236828, 236772, 236778, 236819, 5469, 1890, 236828, 236771, 236908, 3756, 50016, 568, 63914, 573, 13471, 16477, 15408, 236768, 138, 107, 236778, 236761, 5213, 229398, 72792, 56802, 66515, 669, 11409, 75936, 580, 4905, 236743, 236778, 236828, 568, 236810, 236787, 236771, 236819, 236772, 236832, 236787, 236778, 236819, 8151, 2263, 236768, 1451, 2619, 20997, 62325, 1913, 3649, 5597, 56361, 138, 107, 236800, 236761, 5213, 74361, 3725, 99693, 66515, 3763, 4905, 236743, 236800, 236770, 236764, 134351, 795, 577, 40266, 1308, 236743, 236810, 236787, 236778, 236819, 8711, 1271, 2731, 573, 9302, 15408, 573, 9137, 4749, 138, 107, 236812, 236761, 5213, 17717, 7993, 66515, 19656, 795, 577, 11325, 1913, 10944, 2460, 3885, 568, 236825, 8711, 753, 38735, 236768, 1343, 6198, 236743, 236800, 236771, 138, 108, 89423, 16329, 1063, 12532, 531, 3433, 573, 1626, 26093, 236764, 4285, 8859, 75936, 27820, 3435, 236761, 10508, 7021, 8748, 580, 12567, 134351, 573, 1346, 529, 506, 2846, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 118011, 569, 12402, 44779, 236772, 68122, 3399, 2460, 528, 2876, 25137, 532, 1461, 531, 990, 2307, 56361, 607, 63829, 19401, 236761, 3199, 611, 2426, 506, 16254, 236789, 236751, 27820, 532, 50016, 10256, 573, 6198, 236743, 236778, 236828, 236772, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236881, 564, 236789, 236753, 992, 1133, 531, 1281, 768, 1027, 101610, 4749, 568, 5282, 496, 63829, 75936, 236768, 2473, 44026, 607, 1239, 14069, 531, 14051, 506, 96475, 11661, 236761, 5612, 564, 236789, 236757, 7107, 614, 28597, 236772, 18865, 11690, 22658, 236764, 12567, 134351, 1451, 6439, 16477, 15408, 3548, 236761, 808, 61192, 8319, 149681, 12713, 236772, 30449, 672, 1262, 607, 657, 3198, 1156, 26576, 101610, 7021, 531, 9128, 10634, 573, 1041, 2460, 15523, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6265, 1083, 623, 752, 1863, 10292, 236779, 31524, 827, 623, 1516, 1083, 3714, 1896, 236779, 8572, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 531, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 827, 623, 49978, 236779, 227160, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 827, 623, 20253, 1083, 623, 13973, 19656, 827, 623, 118064, 2143, 1083, 623, 236819, 236828, 70887, 623, 32463, 1083, 623, 108637, 568, 1904, 6425, 2890, 22730, 623, 46858, 236779, 2289, 1083, 623, 236771, 236770, 236787, 236778, 236812, 8151, 59528, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236819, 827, 623, 20253, 1083, 623, 236824, 15190, 203243, 806, 827, 623, 118064, 2143, 1083, 623, 236819, 236778, 70887, 623, 32463, 1083, 623, 108637, 568, 1904, 6425, 2890, 22730, 623, 46858, 236779, 2289, 1083, 623, 236771, 236800, 236787, 236771, 236832, 8151, 59528, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 827, 623, 20253, 1083, 623, 236824, 15190, 203243, 806, 827, 623, 118064, 2143, 1083, 623, 236828, 236810, 70887, 623, 32463, 1083, 623, 108637, 568, 1904, 6425, 2890, 22730, 623, 46858, 236779, 2289, 1083, 623, 236771, 236812, 236787, 236812, 236828, 8151, 59528, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 827, 623, 20253, 1083, 623, 9008, 34945, 827, 623, 118064, 2143, 1083, 623, 236832, 236810, 70887, 623, 32463, 1083, 623, 108637, 568, 1904, 6425, 2890, 22730, 623, 46858, 236779, 2289, 1083, 623, 236771, 236825, 236787, 236778, 236825, 8151, 59528, 25938, 1604, 623, 752, 61266, 800, 236779, 18582, 1083, 3714, 236752, 71546, 236779, 28103, 1083, 3714, 21259, 1083, 2416, 236764, 623, 2084, 1083, 2303, 236764, 623, 1896, 1083, 2303, 1263, 623, 161998, 236779, 179727, 236779, 46858, 1083, 3714, 1201, 1083, 623, 60891, 138415, 2643, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 827, 623, 23184, 1083, 623, 66476, 4588, 236793, 951, 22055, 607, 16254, 27820, 236775, 5237, 623, 7125, 236779, 23184, 1083, 3714, 13319, 1083, 623, 4976, 25137, 827, 623, 2289, 236779, 13873, 1083, 623, 14346, 236774, 827, 623, 49978, 20128, 236779, 3841, 1083, 11058, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 236743, 236771, 236825, 236787, 236770, 236778, 8711, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236819, 236743, 236771, 236832, 236787, 236770, 236810, 8711, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 236743, 236771, 236828, 236787, 236770, 236828, 8711, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 236743, 236771, 236819, 236787, 236778, 236770, 8711, 14255, 623, 49978, 1025, 236779, 3841, 1083, 11058, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 236743, 236771, 236832, 236787, 236771, 236800, 8151, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236819, 236743, 236771, 236828, 236787, 236771, 236825, 8151, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 236743, 236771, 236819, 236787, 236771, 236819, 8151, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 236743, 236770, 236771, 236787, 236770, 236778, 8151, 1935, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 49978, 236779, 1516, 1083, 3714, 1896, 236779, 8572, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 531, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 827, 623, 236752, 71546, 236779, 20253, 1083, 3714, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 1083, 623, 236824, 15190, 203243, 806, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236819, 1083, 623, 9008, 34945, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 1083, 623, 236824, 15190, 90397, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 1083, 623, 4199, 19656, 23179, 623, 118064, 2143, 236779, 18223, 1083, 3714, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 1083, 236743, 236828, 236778, 236761, 236800, 236764, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236819, 1083, 236743, 236810, 236771, 236761, 236770, 236764, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 1083, 236743, 236778, 236800, 236761, 236832, 236764, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 1083, 236743, 236771, 236761, 236812, 1263, 623, 32463, 236779, 7414, 1083, 3714, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 1083, 623, 236770, 236828, 236787, 236812, 236778, 753, 236743, 236771, 236810, 236787, 236771, 236832, 2263, 990, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236819, 1083, 623, 236770, 236819, 236787, 236770, 236810, 753, 236743, 236771, 236812, 236787, 236800, 236800, 2263, 990, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 1083, 623, 236770, 236819, 236787, 236812, 236828, 753, 236743, 236771, 236812, 236787, 236771, 236770, 2263, 990, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 1083, 623, 236771, 236825, 236787, 236770, 236778, 753, 236743, 236770, 236832, 236787, 236778, 236819, 2263, 990, 23179, 623, 752, 61266, 800, 236779, 18582, 1083, 3714, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 1083, 623, 83042, 98629, 72792, 568, 236771, 236800, 236787, 236771, 236819, 753, 236743, 236771, 236810, 236787, 236778, 236819, 59528, 22730, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 1083, 623, 4199, 19656, 568, 236770, 236819, 236787, 236778, 236812, 59528, 16291, 1263, 623, 20955, 236779, 205494, 236779, 30182, 1083, 11058, 17642, 80501, 568, 127341, 22730, 623, 91005, 25867, 10950, 568, 127341, 236768, 14255, 623, 7125, 236779, 23184, 1083, 623, 4976, 25137, 236764, 8253, 134351, 12732, 12567, 573, 11690, 4749, 580, 6198, 236743, 236778, 236828, 236772, 236778, 236819, 236793, 236743, 236828, 236771, 236519, 3756, 50016, 2487, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4071, 236772, 205494, 63829, 1262, 573, 822, 118011, 569, 12402, 44779, 2460, 6995, 528, 2876, 25137, 236787, 108, 1018, 5825, 236743, 236770, 236787, 78805, 10950, 568, 13973, 19656, 27468, 62902, 138, 107, 236772, 5213, 36817, 236743, 236778, 236828, 66515, 10456, 19656, 568, 236819, 236828, 236908, 50016, 236768, 138, 107, 138, 85901, 27820, 236787, 236743, 236771, 236770, 236787, 236778, 236812, 8151, 59528, 568, 20123, 236743, 236778, 236832, 2263, 990, 236768, 138, 107, 138, 74361, 20128, 236787, 236743, 236825, 236787, 236770, 236778, 8711, 236764, 19656, 1025, 236787, 236743, 236832, 236787, 236771, 236800, 8151, 568, 20123, 236743, 236778, 236828, 2263, 236768, 138, 107, 236772, 5213, 36817, 236743, 236800, 236770, 66515, 11662, 34945, 568, 236832, 236810, 236908, 50016, 236768, 138, 107, 138, 74361, 20128, 236787, 236743, 236819, 236787, 236778, 236770, 8711, 236764, 19656, 1025, 236787, 236743, 236770, 236771, 236787, 236770, 236778, 8151, 568, 20123, 236743, 236800, 236770, 2263, 236768, 138, 107, 236772, 5213, 3503, 12209, 66515, 14105, 138415, 2643, 37392, 16984, 11519, 580, 4905, 236743, 236800, 236771, 138, 107, 138, 236769, 66476, 4588, 236764, 951, 22055, 607, 134351, 236768, 108, 1018, 5825, 236743, 236778, 236787, 13510, 80501, 568, 93015, 236772, 1653, 170770, 1262, 62902, 138, 107, 236772, 5213, 36817, 236743, 236778, 236828, 66515, 649, 15190, 203243, 806, 568, 236828, 236778, 236908, 50016, 236768, 138, 107, 138, 17717, 236787, 236743, 236825, 236787, 236812, 236778, 8711, 753, 236743, 236810, 236787, 236771, 236832, 8151, 2263, 990, 138, 107, 236772, 5213, 36817, 236743, 236800, 236770, 66515, 1799, 19656, 568, 236771, 236761, 236812, 236908, 50016, 236768, 138, 107, 138, 17717, 236787, 236743, 236825, 236787, 236770, 236778, 8151, 753, 236743, 236810, 236787, 236778, 236819, 8711, 2263, 990, 138, 107, 236772, 5213, 3503, 12209, 66515, 49354, 98629, 72792, 568, 20123, 236743, 236778, 236828, 236764, 236743, 236800, 236787, 236771, 236819, 236772, 236810, 236787, 236778, 236819, 59528, 236768, 138, 107, 138, 21626, 528, 62215, 618, 16254, 7093, 528, 2876, 25137, 568, 19323, 49787, 236768, 108, 1018, 89740, 22113, 24118, 66515, 138, 107, 236770, 236761, 5213, 108637, 63256, 66515, 6198, 236743, 236778, 236828, 236772, 236778, 236819, 5469, 1890, 236828, 236771, 236908, 3756, 50016, 568, 63914, 573, 13471, 16477, 15408, 236768, 138, 107, 236778, 236761, 5213, 229398, 72792, 56802, 66515, 669, 11409, 75936, 580, 4905, 236743, 236778, 236828, 568, 236810, 236787, 236771, 236819, 236772, 236832, 236787, 236778, 236819, 8151, 2263, 236768, 1451, 2619, 20997, 62325, 1913, 3649, 5597, 56361, 138, 107, 236800, 236761, 5213, 74361, 3725, 99693, 66515, 3763, 4905, 236743, 236800, 236770, 236764, 134351, 795, 577, 40266, 1308, 236743, 236810, 236787, 236778, 236819, 8711, 1271, 2731, 573, 9302, 15408, 573, 9137, 4749, 138, 107, 236812, 236761, 5213, 17717, 7993, 66515, 19656, 795, 577, 11325, 1913, 10944, 2460, 3885, 568, 236825, 8711, 753, 38735, 236768, 1343, 6198, 236743, 236800, 236771, 138, 108, 89423, 16329, 1063, 12532, 531, 3433, 573, 1626, 26093, 236764, 4285, 8859, 75936, 27820, 3435, 236761, 10508, 7021, 8748, 580, 12567, 134351, 573, 1346, 529, 506, 2846, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 2731, 496, 7946, 531, 123346, 531, 3717, 6310, 5434, 573, 1023, 45869, 20859, 236761, 5315, 236764, 1586, 784, 123346, 11936, 528, 506, 2590, 236764, 1299, 2426, 506, 7606, 573, 506, 20480, 4762, 236789, 236751, 4563, 531, 10741, 506, 1791, 1719, 531, 3517, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66325, 1083, 78493, 1201, 1083, 623, 236777, 100166, 26431, 827, 623, 7720, 1083, 623, 236778, 236832, 236771, 236771, 19212, 593, 15485, 236762, 827, 623, 13319, 1083, 623, 109180, 827, 623, 3255, 1083, 623, 10032, 827, 623, 15905, 1083, 623, 236800, 236771, 236800, 236800, 236819, 827, 623, 5275, 1083, 33865, 236832, 236832, 236771, 236768, 236743, 236812, 236800, 236770, 236772, 236828, 236812, 236828, 236812, 827, 623, 15897, 1083, 11058, 217277, 827, 623, 65787, 827, 623, 100399, 22113, 152254, 3714, 1201, 1083, 623, 236777, 100166, 10561, 827, 623, 7720, 1083, 623, 236770, 236771, 236771, 123346, 17713, 827, 623, 13319, 1083, 623, 43324, 522, 40695, 827, 623, 3255, 1083, 623, 3334, 827, 623, 15905, 1083, 623, 236825, 236771, 236812, 236812, 236771, 827, 623, 5275, 1083, 33865, 236825, 236800, 236771, 236768, 236743, 236778, 236778, 236825, 236772, 236828, 236771, 236771, 236771, 827, 623, 15897, 1083, 11058, 217277, 827, 623, 65787, 827, 623, 9178, 8057, 152254, 3714, 1201, 1083, 623, 236777, 100166, 1799, 3773, 827, 623, 7720, 1083, 623, 236810, 236771, 236771, 56827, 56258, 827, 623, 13319, 1083, 623, 36257, 101995, 827, 623, 3255, 1083, 623, 54222, 827, 623, 15905, 1083, 623, 236771, 236832, 236771, 236832, 236800, 827, 623, 5275, 1083, 33865, 236778, 236771, 236770, 236768, 236743, 236778, 236832, 236810, 236772, 236778, 236771, 236778, 236771, 827, 623, 15897, 1083, 11058, 217277, 827, 623, 65787, 827, 623, 90882, 152254, 3714, 1201, 1083, 623, 236777, 100166, 7383, 13245, 827, 623, 7720, 1083, 623, 236770, 236828, 236771, 236771, 236771, 555, 205821, 842, 827, 623, 13319, 1083, 623, 9767, 1588, 827, 623, 3255, 1083, 623, 5635, 827, 623, 15905, 1083, 623, 236819, 236771, 236832, 236812, 236825, 827, 623, 5275, 1083, 33865, 236800, 236770, 236771, 236768, 236743, 236810, 236778, 236778, 236772, 236828, 236771, 236771, 236771, 827, 623, 15897, 1083, 11058, 217277, 827, 623, 65787, 827, 623, 123566, 44546, 152254, 3714, 1201, 1083, 623, 236777, 100166, 21912, 827, 623, 7720, 1083, 623, 236832, 236828, 236771, 236771, 646, 6687, 21912, 593, 15485, 236762, 827, 623, 13319, 1083, 623, 110654, 827, 623, 3255, 1083, 623, 52468, 827, 623, 15905, 1083, 623, 236832, 236832, 236771, 236825, 236812, 827, 623, 5275, 1083, 33865, 236778, 236828, 236770, 236768, 236743, 236828, 236810, 236810, 236772, 236828, 236810, 236810, 236810, 827, 623, 15897, 1083, 11058, 217277, 827, 623, 65787, 827, 623, 24497, 7449, 8381, 1935, 165075, 106, 107, 105, 4368, 107, 2021, 2426, 506, 7606, 573, 506, 20480, 123346, 4762, 236764, 564, 1202, 822, 1873, 4563, 568, 13319, 236786, 3255, 653, 15375, 236768, 653, 506, 3530, 4762, 236789, 236751, 3421, 236786, 13319, 236761, 1174, 795, 1601, 786, 6054, 506, 24119, 4762, 532, 12270, 506, 7606, 573, 600, 2433, 236761, 3199, 611, 2847, 672, 1938, 236881, 106, 107, 105, 2364, 107, 12879, 236888, 5612, 564, 236789, 236757, 528, 184908, 236764, 8253, 236764, 1531, 236789, 236751, 2426, 506, 7606, 573, 506, 20480, 123346, 4762, 236789, 236751, 4563, 236761, 3199, 611, 1161, 506, 974, 236779, 19323, 5904, 573, 184908, 236764, 8253, 531, 1460, 506, 236743, 236800, 236772, 1496, 14415, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 1083, 3714, 27495, 1083, 236743, 236832, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 7777, 1083, 623, 7783, 586, 130915, 23179, 623, 180981, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236832, 236812, 236764, 623, 19216, 1083, 623, 22631, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236832, 236800, 236764, 623, 19216, 1083, 623, 96123, 75506, 25938, 1604, 623, 32320, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 11480, 1083, 236743, 236832, 236825, 236764, 623, 976, 1083, 236743, 236810, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236825, 827, 623, 11480, 1083, 236743, 236832, 236828, 236764, 623, 976, 1083, 236743, 236825, 236771, 104960, 623, 6805, 1083, 623, 236811, 827, 623, 7125, 1083, 3714, 8938, 1083, 236743, 236800, 236825, 236761, 236828, 236812, 236800, 236778, 236764, 623, 68520, 1083, 753, 236770, 236770, 236819, 236761, 236825, 236778, 236832, 236825, 236764, 623, 1201, 1083, 623, 165251, 1904, 123346, 13516, 23179, 623, 4406, 1083, 623, 236766, 236770, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 236743, 236778, 236772, 1496, 7606, 14415, 573, 184908, 236764, 8253, 568, 39952, 506, 116092, 123346, 13516, 1473, 108, 251074, 238178, 5213, 8782, 32288, 1018, 138, 107, 236772, 35267, 236787, 236743, 236832, 236778, 237366, 236811, 138, 107, 236772, 208719, 236787, 236743, 236825, 236810, 236908, 138, 107, 236772, 32288, 236787, 216726, 130915, 138, 108, 249460, 5213, 17076, 568, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 62902, 138, 107, 236772, 4819, 236787, 236743, 236832, 236825, 237366, 236811, 1109, 14533, 236787, 236743, 236810, 236828, 237366, 236811, 138, 107, 236772, 145984, 236787, 236743, 236832, 236812, 237366, 236811, 236764, 25179, 55748, 138, 108, 249460, 5213, 125133, 568, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236825, 62902, 138, 107, 236772, 4819, 236787, 236743, 236832, 236828, 237366, 236811, 1109, 14533, 236787, 236743, 236825, 236771, 237366, 236811, 138, 107, 236772, 145984, 236787, 236743, 236832, 236800, 237366, 236811, 236764, 56153, 75506, 138, 108, 818, 7606, 5724, 23850, 573, 506, 2148, 1156, 2668, 607, 18790, 11139, 532, 11893, 6425, 2890, 236761, 21284, 611, 1133, 786, 531, 2426, 496, 3530, 3433, 653, 2847, 4767, 4889, 573, 7946, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2731, 496, 7946, 531, 123346, 531, 3717, 6310, 5434, 573, 1023, 45869, 20859, 236761, 5315, 236764, 1586, 784, 123346, 11936, 528, 506, 2590, 236764, 1299, 2426, 506, 7606, 573, 506, 20480, 4762, 236789, 236751, 4563, 531, 10741, 506, 1791, 1719, 531, 3517, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66325, 1083, 78493, 1201, 1083, 623, 236777, 100166, 26431, 827, 623, 7720, 1083, 623, 236778, 236832, 236771, 236771, 19212, 593, 15485, 236762, 827, 623, 13319, 1083, 623, 109180, 827, 623, 3255, 1083, 623, 10032, 827, 623, 15905, 1083, 623, 236800, 236771, 236800, 236800, 236819, 827, 623, 5275, 1083, 33865, 236832, 236832, 236771, 236768, 236743, 236812, 236800, 236770, 236772, 236828, 236812, 236828, 236812, 827, 623, 15897, 1083, 11058, 217277, 827, 623, 65787, 827, 623, 100399, 22113, 152254, 3714, 1201, 1083, 623, 236777, 100166, 10561, 827, 623, 7720, 1083, 623, 236770, 236771, 236771, 123346, 17713, 827, 623, 13319, 1083, 623, 43324, 522, 40695, 827, 623, 3255, 1083, 623, 3334, 827, 623, 15905, 1083, 623, 236825, 236771, 236812, 236812, 236771, 827, 623, 5275, 1083, 33865, 236825, 236800, 236771, 236768, 236743, 236778, 236778, 236825, 236772, 236828, 236771, 236771, 236771, 827, 623, 15897, 1083, 11058, 217277, 827, 623, 65787, 827, 623, 9178, 8057, 152254, 3714, 1201, 1083, 623, 236777, 100166, 1799, 3773, 827, 623, 7720, 1083, 623, 236810, 236771, 236771, 56827, 56258, 827, 623, 13319, 1083, 623, 36257, 101995, 827, 623, 3255, 1083, 623, 54222, 827, 623, 15905, 1083, 623, 236771, 236832, 236771, 236832, 236800, 827, 623, 5275, 1083, 33865, 236778, 236771, 236770, 236768, 236743, 236778, 236832, 236810, 236772, 236778, 236771, 236778, 236771, 827, 623, 15897, 1083, 11058, 217277, 827, 623, 65787, 827, 623, 90882, 152254, 3714, 1201, 1083, 623, 236777, 100166, 7383, 13245, 827, 623, 7720, 1083, 623, 236770, 236828, 236771, 236771, 236771, 555, 205821, 842, 827, 623, 13319, 1083, 623, 9767, 1588, 827, 623, 3255, 1083, 623, 5635, 827, 623, 15905, 1083, 623, 236819, 236771, 236832, 236812, 236825, 827, 623, 5275, 1083, 33865, 236800, 236770, 236771, 236768, 236743, 236810, 236778, 236778, 236772, 236828, 236771, 236771, 236771, 827, 623, 15897, 1083, 11058, 217277, 827, 623, 65787, 827, 623, 123566, 44546, 152254, 3714, 1201, 1083, 623, 236777, 100166, 21912, 827, 623, 7720, 1083, 623, 236832, 236828, 236771, 236771, 646, 6687, 21912, 593, 15485, 236762, 827, 623, 13319, 1083, 623, 110654, 827, 623, 3255, 1083, 623, 52468, 827, 623, 15905, 1083, 623, 236832, 236832, 236771, 236825, 236812, 827, 623, 5275, 1083, 33865, 236778, 236828, 236770, 236768, 236743, 236828, 236810, 236810, 236772, 236828, 236810, 236810, 236810, 827, 623, 15897, 1083, 11058, 217277, 827, 623, 65787, 827, 623, 24497, 7449, 8381, 1935, 165075, 106, 107, 105, 4368, 107, 2021, 2426, 506, 7606, 573, 506, 20480, 123346, 4762, 236764, 564, 1202, 822, 1873, 4563, 568, 13319, 236786, 3255, 653, 15375, 236768, 653, 506, 3530, 4762, 236789, 236751, 3421, 236786, 13319, 236761, 1174, 795, 1601, 786, 6054, 506, 24119, 4762, 532, 12270, 506, 7606, 573, 600, 2433, 236761, 3199, 611, 2847, 672, 1938, 236881, 106, 107, 105, 2364, 107, 12879, 236888, 5612, 564, 236789, 236757, 528, 184908, 236764, 8253, 236764, 1531, 236789, 236751, 2426, 506, 7606, 573, 506, 20480, 123346, 4762, 236789, 236751, 4563, 236761, 3199, 611, 1161, 506, 974, 236779, 19323, 5904, 573, 184908, 236764, 8253, 531, 1460, 506, 236743, 236800, 236772, 1496, 14415, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 1083, 3714, 27495, 1083, 236743, 236832, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 7777, 1083, 623, 7783, 586, 130915, 23179, 623, 180981, 1083, 78493, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236832, 236812, 236764, 623, 19216, 1083, 623, 22631, 23179, 3714, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 7617, 1083, 236743, 236832, 236800, 236764, 623, 19216, 1083, 623, 96123, 75506, 25938, 1604, 623, 32320, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 11480, 1083, 236743, 236832, 236825, 236764, 623, 976, 1083, 236743, 236810, 236828, 1263, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236825, 827, 623, 11480, 1083, 236743, 236832, 236828, 236764, 623, 976, 1083, 236743, 236825, 236771, 104960, 623, 6805, 1083, 623, 236811, 827, 623, 7125, 1083, 3714, 8938, 1083, 236743, 236800, 236825, 236761, 236828, 236812, 236800, 236778, 236764, 623, 68520, 1083, 753, 236770, 236770, 236819, 236761, 236825, 236778, 236832, 236825, 236764, 623, 1201, 1083, 623, 165251, 1904, 123346, 13516, 23179, 623, 4406, 1083, 623, 236766, 236770, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 236743, 236778, 236772, 1496, 7606, 14415, 573, 184908, 236764, 8253, 568, 39952, 506, 116092, 123346, 13516, 1473, 108, 251074, 238178, 5213, 8782, 32288, 1018, 138, 107, 236772, 35267, 236787, 236743, 236832, 236778, 237366, 236811, 138, 107, 236772, 208719, 236787, 236743, 236825, 236810, 236908, 138, 107, 236772, 32288, 236787, 216726, 130915, 138, 108, 249460, 5213, 17076, 568, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 62902, 138, 107, 236772, 4819, 236787, 236743, 236832, 236825, 237366, 236811, 1109, 14533, 236787, 236743, 236810, 236828, 237366, 236811, 138, 107, 236772, 145984, 236787, 236743, 236832, 236812, 237366, 236811, 236764, 25179, 55748, 138, 108, 249460, 5213, 125133, 568, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236825, 62902, 138, 107, 236772, 4819, 236787, 236743, 236832, 236828, 237366, 236811, 1109, 14533, 236787, 236743, 236825, 236771, 237366, 236811, 138, 107, 236772, 145984, 236787, 236743, 236832, 236800, 237366, 236811, 236764, 56153, 75506, 138, 108, 818, 7606, 5724, 23850, 573, 506, 2148, 1156, 2668, 607, 18790, 11139, 532, 11893, 6425, 2890, 236761, 21284, 611, 1133, 786, 531, 2426, 496, 3530, 3433, 653, 2847, 4767, 4889, 573, 7946, 6995, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236764, 564, 236789, 236757, 42077, 236761, 564, 236789, 236757, 981, 495, 236789, 580, 496, 2268, 2678, 2203, 600, 236789, 859, 1601, 2731, 2523, 22227, 22817, 531, 4559, 24682, 236761, 564, 236789, 560, 2506, 496, 1694, 529, 24682, 692, 4781, 3517, 236764, 840, 564, 1202, 531, 1586, 506, 1346, 4913, 30154, 18361, 1161, 1056, 3927, 495, 236789, 573, 1239, 16746, 528, 506, 38784, 236761, 27384, 611, 1451, 1601, 786, 8091, 1070, 1262, 236881, 564, 236789, 236757, 2056, 495, 236789, 531, 30726, 506, 850, 573, 18361, 1385, 495, 236789, 872, 756, 20418, 185967, 31093, 22227, 22779, 236789, 653, 756, 2046, 80463, 1037, 23855, 13763, 16746, 236789, 528, 506, 10304, 14306, 236761, 669, 5904, 611, 236789, 560, 2506, 573, 30136, 99760, 12054, 4011, 753, 564, 236789, 859, 1202, 506, 5192, 1076, 531, 5422, 532, 2891, 3393, 2590, 236761, 5393, 1461, 531, 1386, 2889, 506, 6137, 659, 1076, 1447, 531, 3328, 1724, 10969, 34369, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 11058, 20418, 185967, 31093, 22227, 22779, 827, 623, 2046, 80463, 1037, 23855, 13763, 16746, 827, 623, 110617, 14306, 2523, 22227, 22817, 827, 623, 20418, 185967, 31093, 23092, 12159, 827, 623, 2046, 80463, 1037, 23855, 27695, 607, 6214, 827, 623, 110617, 14306, 4559, 4467, 13571, 827, 623, 20418, 185967, 31093, 28594, 119674, 827, 623, 2046, 80463, 1037, 23855, 55614, 13763, 827, 623, 110617, 14306, 11690, 19063, 6995, 827, 623, 20418, 185967, 31093, 10591, 5646, 14255, 623, 19859, 1083, 623, 501, 827, 623, 14801, 1083, 623, 3118, 827, 623, 13647, 1083, 623, 236773, 725, 40946, 3640, 4184, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 30136, 1262, 564, 16630, 573, 38784, 2590, 4559, 24682, 1699, 822, 6137, 236787, 108, 1018, 8534, 97927, 53121, 107, 236770, 236761, 8098, 185967, 31093, 22227, 22779, 107, 236778, 236761, 122116, 23855, 13763, 16746, 107, 236800, 236761, 10304, 14306, 2523, 22227, 22817, 107, 236812, 236761, 8098, 185967, 31093, 23092, 12159, 107, 236810, 236761, 122116, 23855, 27695, 607, 6214, 107, 236825, 236761, 10304, 14306, 4559, 4467, 13571, 107, 236832, 236761, 8098, 185967, 31093, 28594, 119674, 107, 236828, 236761, 122116, 23855, 55614, 13763, 107, 236819, 236761, 10304, 14306, 11690, 19063, 6995, 107, 236770, 236771, 236761, 8098, 185967, 31093, 10591, 5646, 108, 1018, 10206, 522, 53121, 107, 236772, 22160, 236787, 5422, 568, 501, 236768, 107, 236772, 17694, 236787, 3640, 4184, 568, 3118, 236768, 107, 236772, 19037, 236787, 127856, 3640, 4184, 108, 9208, 30154, 17794, 4563, 236772, 15396, 3755, 6791, 110617, 14306, 827, 623, 20418, 185967, 31093, 1373, 607, 4588, 236772, 41889, 37485, 6791, 123024, 22779, 827, 623, 91730, 16746, 1373, 532, 2523, 6995, 3548, 6791, 4060, 6214, 827, 623, 127166, 6995, 4248, 21284, 611, 1133, 786, 531, 59638, 1027, 2931, 6084, 529, 1239, 2536, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236764, 564, 236789, 236757, 42077, 236761, 564, 236789, 236757, 981, 495, 236789, 580, 496, 2268, 2678, 2203, 600, 236789, 859, 1601, 2731, 2523, 22227, 22817, 531, 4559, 24682, 236761, 564, 236789, 560, 2506, 496, 1694, 529, 24682, 692, 4781, 3517, 236764, 840, 564, 1202, 531, 1586, 506, 1346, 4913, 30154, 18361, 1161, 1056, 3927, 495, 236789, 573, 1239, 16746, 528, 506, 38784, 236761, 27384, 611, 1451, 1601, 786, 8091, 1070, 1262, 236881, 564, 236789, 236757, 2056, 495, 236789, 531, 30726, 506, 850, 573, 18361, 1385, 495, 236789, 872, 756, 20418, 185967, 31093, 22227, 22779, 236789, 653, 756, 2046, 80463, 1037, 23855, 13763, 16746, 236789, 528, 506, 10304, 14306, 236761, 669, 5904, 611, 236789, 560, 2506, 573, 30136, 99760, 12054, 4011, 753, 564, 236789, 859, 1202, 506, 5192, 1076, 531, 5422, 532, 2891, 3393, 2590, 236761, 5393, 1461, 531, 1386, 2889, 506, 6137, 659, 1076, 1447, 531, 3328, 1724, 10969, 34369, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 11058, 20418, 185967, 31093, 22227, 22779, 827, 623, 2046, 80463, 1037, 23855, 13763, 16746, 827, 623, 110617, 14306, 2523, 22227, 22817, 827, 623, 20418, 185967, 31093, 23092, 12159, 827, 623, 2046, 80463, 1037, 23855, 27695, 607, 6214, 827, 623, 110617, 14306, 4559, 4467, 13571, 827, 623, 20418, 185967, 31093, 28594, 119674, 827, 623, 2046, 80463, 1037, 23855, 55614, 13763, 827, 623, 110617, 14306, 11690, 19063, 6995, 827, 623, 20418, 185967, 31093, 10591, 5646, 14255, 623, 19859, 1083, 623, 501, 827, 623, 14801, 1083, 623, 3118, 827, 623, 13647, 1083, 623, 236773, 725, 40946, 3640, 4184, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 30136, 1262, 564, 16630, 573, 38784, 2590, 4559, 24682, 1699, 822, 6137, 236787, 108, 1018, 8534, 97927, 53121, 107, 236770, 236761, 8098, 185967, 31093, 22227, 22779, 107, 236778, 236761, 122116, 23855, 13763, 16746, 107, 236800, 236761, 10304, 14306, 2523, 22227, 22817, 107, 236812, 236761, 8098, 185967, 31093, 23092, 12159, 107, 236810, 236761, 122116, 23855, 27695, 607, 6214, 107, 236825, 236761, 10304, 14306, 4559, 4467, 13571, 107, 236832, 236761, 8098, 185967, 31093, 28594, 119674, 107, 236828, 236761, 122116, 23855, 55614, 13763, 107, 236819, 236761, 10304, 14306, 11690, 19063, 6995, 107, 236770, 236771, 236761, 8098, 185967, 31093, 10591, 5646, 108, 1018, 10206, 522, 53121, 107, 236772, 22160, 236787, 5422, 568, 501, 236768, 107, 236772, 17694, 236787, 3640, 4184, 568, 3118, 236768, 107, 236772, 19037, 236787, 127856, 3640, 4184, 108, 9208, 30154, 17794, 4563, 236772, 15396, 3755, 6791, 110617, 14306, 827, 623, 20418, 185967, 31093, 1373, 607, 4588, 236772, 41889, 37485, 6791, 123024, 22779, 827, 623, 91730, 16746, 1373, 532, 2523, 6995, 3548, 6791, 4060, 6214, 827, 623, 127166, 6995, 4248, 21284, 611, 1133, 786, 531, 59638, 1027, 2931, 6084, 529, 1239, 2536, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236806, 3177, 236764, 1623, 52913, 236764, 564, 236789, 560, 1010, 50629, 4776, 1003, 506, 2255, 34873, 3604, 570, 1973, 3320, 41874, 564, 1456, 531, 8835, 1063, 528, 83084, 73326, 236761, 3574, 611, 1281, 1027, 13154, 600, 12203, 600, 1638, 7304, 236881, 564, 236789, 236757, 6972, 2613, 607, 6672, 34499, 129379, 4252, 236764, 7463, 1581, 496, 32165, 236761, 1452, 2338, 692, 236789, 500, 657, 625, 236764, 1451, 611, 1386, 2889, 625, 236789, 236751, 528, 14361, 653, 657, 3198, 815, 99429, 236881, 564, 236789, 236753, 2765, 531, 1407, 672, 531, 1041, 60898, 531, 3786, 1515, 1003, 1023, 6540, 236761, 2024, 1537, 236789, 236745, 1164, 4351, 1027, 4103, 1271, 564, 1461, 886, 600, 236789, 236751, 618, 24636, 618, 1041, 8174, 674, 574, 1284, 15028, 236764, 611, 3050, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 48945, 1709, 619, 570, 11141, 236785, 236756, 236771, 236771, 524, 1426, 236787, 2876, 3468, 1225, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 569, 34499, 43008, 827, 623, 56036, 1083, 623, 7565, 835, 827, 623, 13126, 1083, 236743, 236832, 236764, 623, 19859, 1083, 623, 80353, 607, 5422, 99429, 827, 623, 7777, 1083, 623, 236776, 28239, 22824, 529, 34873, 3604, 570, 1973, 3320, 28968, 1343, 83691, 15339, 532, 22555, 607, 83084, 73326, 236789, 236751, 33195, 30680, 236764, 18482, 19575, 699, 506, 236743, 236770, 236819, 236832, 236771, 236751, 14603, 3605, 600, 5221, 496, 8299, 10498, 623, 206410, 1083, 11058, 39460, 13946, 827, 623, 162890, 129379, 17069, 40187, 14255, 623, 50771, 236779, 14210, 1083, 623, 64556, 496, 236743, 236778, 236771, 236772, 20353, 9951, 580, 6672, 674, 574, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 12652, 618, 912, 529, 14680, 42927, 236764, 170730, 822, 8174, 15028, 56361, 1781, 236783, 106, 107, 105, 4368, 107, 178632, 44767, 1985, 135183, 1614, 40532, 2103, 9226, 236764, 763, 75145, 236787, 108, 1018, 236775, 48945, 1709, 619, 570, 11141, 236928, 1426, 236787, 2876, 3468, 40743, 569, 34499, 43008, 236775, 1018, 236743, 246272, 138, 107, 236769, 15124, 514, 236764, 236743, 236832, 236786, 236770, 236771, 236768, 138, 107, 236829, 104702, 696, 9593, 13946, 570, 34499, 129379, 17069, 40187, 236829, 108, 33287, 181981, 14113, 2580, 121911, 123348, 1510, 929, 15517, 236787, 138, 107, 236772, 5213, 236792, 132812, 44842, 1018, 591, 71691, 160607, 569, 1450, 221992, 569, 83084, 73326, 138, 107, 236772, 5213, 4724, 19032, 13235, 591, 34307, 31362, 17549, 527, 1018, 1162, 34873, 3604, 570, 1973, 3320, 138, 107, 236772, 5213, 36276, 236748, 14612, 5311, 759, 109503, 569, 674, 574, 1284, 1018, 12149, 181908, 3051, 568, 238631, 11372, 14207, 236748, 39635, 236898, 6472, 759, 118501, 15520, 138, 107, 236772, 5375, 236745, 68221, 696, 47882, 1642, 105566, 759, 141348, 138, 108, 236847, 27632, 591, 759, 93400, 525, 2616, 929, 214179, 236764, 3105, 2083, 32607, 527, 496, 4379, 14207, 236748, 496, 10078, 569, 50572, 221992, 29734, 2137, 78194, 569, 83084, 73326, 236761, 7196, 189302, 929, 233012, 4134, 53587, 512, 926, 6952, 2917, 496, 69212, 496, 6820, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236806, 3177, 236764, 1623, 52913, 236764, 564, 236789, 560, 1010, 50629, 4776, 1003, 506, 2255, 34873, 3604, 570, 1973, 3320, 41874, 564, 1456, 531, 8835, 1063, 528, 83084, 73326, 236761, 3574, 611, 1281, 1027, 13154, 600, 12203, 600, 1638, 7304, 236881, 564, 236789, 236757, 6972, 2613, 607, 6672, 34499, 129379, 4252, 236764, 7463, 1581, 496, 32165, 236761, 1452, 2338, 692, 236789, 500, 657, 625, 236764, 1451, 611, 1386, 2889, 625, 236789, 236751, 528, 14361, 653, 657, 3198, 815, 99429, 236881, 564, 236789, 236753, 2765, 531, 1407, 672, 531, 1041, 60898, 531, 3786, 1515, 1003, 1023, 6540, 236761, 2024, 1537, 236789, 236745, 1164, 4351, 1027, 4103, 1271, 564, 1461, 886, 600, 236789, 236751, 618, 24636, 618, 1041, 8174, 674, 574, 1284, 15028, 236764, 611, 3050, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 48945, 1709, 619, 570, 11141, 236785, 236756, 236771, 236771, 524, 1426, 236787, 2876, 3468, 1225, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 569, 34499, 43008, 827, 623, 56036, 1083, 623, 7565, 835, 827, 623, 13126, 1083, 236743, 236832, 236764, 623, 19859, 1083, 623, 80353, 607, 5422, 99429, 827, 623, 7777, 1083, 623, 236776, 28239, 22824, 529, 34873, 3604, 570, 1973, 3320, 28968, 1343, 83691, 15339, 532, 22555, 607, 83084, 73326, 236789, 236751, 33195, 30680, 236764, 18482, 19575, 699, 506, 236743, 236770, 236819, 236832, 236771, 236751, 14603, 3605, 600, 5221, 496, 8299, 10498, 623, 206410, 1083, 11058, 39460, 13946, 827, 623, 162890, 129379, 17069, 40187, 14255, 623, 50771, 236779, 14210, 1083, 623, 64556, 496, 236743, 236778, 236771, 236772, 20353, 9951, 580, 6672, 674, 574, 236785, 236756, 236771, 236771, 236760, 236800, 236749, 12652, 618, 912, 529, 14680, 42927, 236764, 170730, 822, 8174, 15028, 56361, 1781, 236783, 106, 107, 105, 4368, 107, 178632, 44767, 1985, 135183, 1614, 40532, 2103, 9226, 236764, 763, 75145, 236787, 108, 1018, 236775, 48945, 1709, 619, 570, 11141, 236928, 1426, 236787, 2876, 3468, 40743, 569, 34499, 43008, 236775, 1018, 236743, 246272, 138, 107, 236769, 15124, 514, 236764, 236743, 236832, 236786, 236770, 236771, 236768, 138, 107, 236829, 104702, 696, 9593, 13946, 570, 34499, 129379, 17069, 40187, 236829, 108, 33287, 181981, 14113, 2580, 121911, 123348, 1510, 929, 15517, 236787, 138, 107, 236772, 5213, 236792, 132812, 44842, 1018, 591, 71691, 160607, 569, 1450, 221992, 569, 83084, 73326, 138, 107, 236772, 5213, 4724, 19032, 13235, 591, 34307, 31362, 17549, 527, 1018, 1162, 34873, 3604, 570, 1973, 3320, 138, 107, 236772, 5213, 36276, 236748, 14612, 5311, 759, 109503, 569, 674, 574, 1284, 1018, 12149, 181908, 3051, 568, 238631, 11372, 14207, 236748, 39635, 236898, 6472, 759, 118501, 15520, 138, 107, 236772, 5375, 236745, 68221, 696, 47882, 1642, 105566, 759, 141348, 138, 108, 236847, 27632, 591, 759, 93400, 525, 2616, 929, 214179, 236764, 3105, 2083, 32607, 527, 496, 4379, 14207, 236748, 496, 10078, 569, 50572, 221992, 29734, 2137, 78194, 569, 83084, 73326, 236761, 7196, 189302, 929, 233012, 4134, 53587, 512, 926, 6952, 2917, 496, 69212, 496, 6820, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236888, 564, 236789, 236757, 9795, 9688, 1023, 33443, 236789, 236751, 36006, 7009, 24742, 236764, 532, 564, 1202, 531, 2426, 837, 19722, 659, 5633, 580, 1023, 1694, 573, 506, 623, 13743, 56846, 10624, 236775, 7073, 236761, 28344, 611, 33205, 506, 19722, 1694, 1699, 506, 974, 34187, 5904, 573, 1023, 1159, 11622, 623, 101727, 236779, 2204, 236770, 236778, 236800, 51653, 1191, 1461, 531, 1386, 2889, 692, 236789, 500, 711, 236590, 4945, 1680, 15656, 855, 861, 52416, 236761, 7062, 236764, 532, 768, 2653, 236764, 994, 506, 1262, 528, 10434, 6518, 1271, 625, 236858, 236751, 8722, 573, 786, 531, 981, 607, 528, 108665, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 1032, 4889, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 38922, 1083, 78493, 5275, 1083, 10955, 236770, 236812, 236770, 236810, 236810, 236810, 236810, 236771, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 65944, 11860, 827, 623, 80158, 236779, 9088, 1083, 623, 13743, 56846, 10624, 827, 623, 236605, 1083, 1847, 1263, 3714, 5275, 1083, 10955, 236770, 236810, 236810, 236810, 236810, 236810, 236810, 236771, 236770, 236819, 236819, 827, 623, 1201, 1083, 623, 29518, 15416, 827, 623, 80158, 236779, 9088, 1083, 623, 13743, 56846, 10624, 827, 623, 236605, 1083, 1847, 1263, 3714, 5275, 1083, 10955, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 827, 623, 1201, 1083, 623, 94537, 50439, 827, 623, 80158, 236779, 9088, 1083, 623, 14947, 18508, 827, 623, 236605, 1083, 2416, 104960, 623, 6725, 236779, 38922, 1083, 236743, 236778, 236764, 623, 2204, 11622, 1083, 623, 101727, 236779, 2204, 236770, 236778, 236800, 827, 623, 5939, 1083, 623, 3723, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 19722, 1694, 573, 822, 623, 13743, 56846, 10624, 236775, 7073, 1208, 1159, 11622, 5213, 101727, 236779, 2204, 236770, 236778, 236800, 66515, 108, 1018, 46172, 568, 12324, 6518, 1473, 1018, 107, 2717, 3723, 107, 236782, 107, 138, 236775, 38922, 1083, 870, 107, 140, 236782, 107, 142, 236775, 5275, 1083, 10955, 236770, 236812, 236770, 236810, 236810, 236810, 236810, 236771, 236770, 236778, 236800, 827, 107, 142, 236775, 1201, 1083, 623, 65944, 11860, 827, 107, 142, 236775, 80158, 236779, 9088, 1083, 623, 13743, 56846, 10624, 827, 107, 142, 236775, 236605, 1083, 1847, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 5275, 1083, 10955, 236770, 236810, 236810, 236810, 236810, 236810, 236810, 236771, 236770, 236819, 236819, 827, 107, 142, 236775, 1201, 1083, 623, 29518, 15416, 827, 107, 142, 236775, 80158, 236779, 9088, 1083, 623, 13743, 56846, 10624, 827, 107, 142, 236775, 236605, 1083, 1847, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 5275, 1083, 10955, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 827, 107, 142, 236775, 1201, 1083, 623, 94537, 50439, 827, 107, 142, 236775, 80158, 236779, 9088, 1083, 623, 14947, 18508, 827, 107, 142, 236775, 236605, 1083, 2416, 107, 140, 236783, 107, 138, 1604, 107, 138, 236775, 6725, 236779, 38922, 1083, 236743, 236778, 236764, 107, 138, 236775, 2204, 11622, 1083, 623, 101727, 236779, 2204, 236770, 236778, 236800, 827, 107, 138, 236775, 5939, 1083, 623, 3723, 236775, 107, 236783, 107, 2717, 108, 1018, 3503, 24118, 53121, 107, 236772, 236743, 251332, 5213, 236778, 5158, 19722, 1018, 659, 5633, 83029, 531, 506, 623, 13743, 56846, 10624, 236775, 7073, 107, 236772, 236743, 255400, 236743, 236770, 3662, 568, 94537, 50439, 236768, 7412, 528, 822, 1694, 840, 5889, 236789, 236745, 83029, 531, 672, 3530, 7073, 107, 236772, 2343, 4945, 659, 45047, 528, 645, 236761, 236770, 236825, 236812, 5251, 6518, 32156, 236770, 2891, 3393, 236768, 108, 38786, 611, 1133, 1601, 32187, 672, 1694, 573, 87613, 653, 16329, 2342, 3527, 7073, 15154, 1262, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236888, 564, 236789, 236757, 9795, 9688, 1023, 33443, 236789, 236751, 36006, 7009, 24742, 236764, 532, 564, 1202, 531, 2426, 837, 19722, 659, 5633, 580, 1023, 1694, 573, 506, 623, 13743, 56846, 10624, 236775, 7073, 236761, 28344, 611, 33205, 506, 19722, 1694, 1699, 506, 974, 34187, 5904, 573, 1023, 1159, 11622, 623, 101727, 236779, 2204, 236770, 236778, 236800, 51653, 1191, 1461, 531, 1386, 2889, 692, 236789, 500, 711, 236590, 4945, 1680, 15656, 855, 861, 52416, 236761, 7062, 236764, 532, 768, 2653, 236764, 994, 506, 1262, 528, 10434, 6518, 1271, 625, 236858, 236751, 8722, 573, 786, 531, 981, 607, 528, 108665, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 1032, 4889, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 38922, 1083, 78493, 5275, 1083, 10955, 236770, 236812, 236770, 236810, 236810, 236810, 236810, 236771, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 65944, 11860, 827, 623, 80158, 236779, 9088, 1083, 623, 13743, 56846, 10624, 827, 623, 236605, 1083, 1847, 1263, 3714, 5275, 1083, 10955, 236770, 236810, 236810, 236810, 236810, 236810, 236810, 236771, 236770, 236819, 236819, 827, 623, 1201, 1083, 623, 29518, 15416, 827, 623, 80158, 236779, 9088, 1083, 623, 13743, 56846, 10624, 827, 623, 236605, 1083, 1847, 1263, 3714, 5275, 1083, 10955, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 827, 623, 1201, 1083, 623, 94537, 50439, 827, 623, 80158, 236779, 9088, 1083, 623, 14947, 18508, 827, 623, 236605, 1083, 2416, 104960, 623, 6725, 236779, 38922, 1083, 236743, 236778, 236764, 623, 2204, 11622, 1083, 623, 101727, 236779, 2204, 236770, 236778, 236800, 827, 623, 5939, 1083, 623, 3723, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 19722, 1694, 573, 822, 623, 13743, 56846, 10624, 236775, 7073, 1208, 1159, 11622, 5213, 101727, 236779, 2204, 236770, 236778, 236800, 66515, 108, 1018, 46172, 568, 12324, 6518, 1473, 1018, 107, 2717, 3723, 107, 236782, 107, 138, 236775, 38922, 1083, 870, 107, 140, 236782, 107, 142, 236775, 5275, 1083, 10955, 236770, 236812, 236770, 236810, 236810, 236810, 236810, 236771, 236770, 236778, 236800, 827, 107, 142, 236775, 1201, 1083, 623, 65944, 11860, 827, 107, 142, 236775, 80158, 236779, 9088, 1083, 623, 13743, 56846, 10624, 827, 107, 142, 236775, 236605, 1083, 1847, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 5275, 1083, 10955, 236770, 236810, 236810, 236810, 236810, 236810, 236810, 236771, 236770, 236819, 236819, 827, 107, 142, 236775, 1201, 1083, 623, 29518, 15416, 827, 107, 142, 236775, 80158, 236779, 9088, 1083, 623, 13743, 56846, 10624, 827, 107, 142, 236775, 236605, 1083, 1847, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 5275, 1083, 10955, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 827, 107, 142, 236775, 1201, 1083, 623, 94537, 50439, 827, 107, 142, 236775, 80158, 236779, 9088, 1083, 623, 14947, 18508, 827, 107, 142, 236775, 236605, 1083, 2416, 107, 140, 236783, 107, 138, 1604, 107, 138, 236775, 6725, 236779, 38922, 1083, 236743, 236778, 236764, 107, 138, 236775, 2204, 11622, 1083, 623, 101727, 236779, 2204, 236770, 236778, 236800, 827, 107, 138, 236775, 5939, 1083, 623, 3723, 236775, 107, 236783, 107, 2717, 108, 1018, 3503, 24118, 53121, 107, 236772, 236743, 251332, 5213, 236778, 5158, 19722, 1018, 659, 5633, 83029, 531, 506, 623, 13743, 56846, 10624, 236775, 7073, 107, 236772, 236743, 255400, 236743, 236770, 3662, 568, 94537, 50439, 236768, 7412, 528, 822, 1694, 840, 5889, 236789, 236745, 83029, 531, 672, 3530, 7073, 107, 236772, 2343, 4945, 659, 45047, 528, 645, 236761, 236770, 236825, 236812, 5251, 6518, 32156, 236770, 2891, 3393, 236768, 108, 38786, 611, 1133, 1601, 32187, 672, 1694, 573, 87613, 653, 16329, 2342, 3527, 7073, 15154, 1262, 236881, 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, 10969, 7009, 7073, 28307, 185761, 25432, 532, 1202, 531, 8701, 784, 25432, 2351, 496, 3530, 42442, 2433, 236761, 669, 4128, 563, 20129, 18378, 684, 506, 15375, 236743, 236812, 236778, 236761, 236832, 236800, 236812, 236810, 237366, 646, 236764, 236743, 236828, 236812, 236761, 236825, 236832, 236828, 236819, 237366, 649, 568, 3991, 236772, 989, 9895, 3541, 19209, 179394, 236768, 532, 236743, 236812, 236770, 236761, 236819, 236800, 236812, 236810, 237366, 646, 236764, 236743, 236828, 236810, 236761, 236812, 236832, 236828, 236819, 237366, 649, 568, 7571, 236772, 898, 9895, 25731, 52910, 769, 3199, 611, 1161, 506, 25432, 2305, 495, 49721, 2566, 5904, 531, 33205, 672, 1262, 236881, 564, 236789, 859, 1202, 506, 4453, 10028, 5618, 532, 18998, 573, 14971, 6995, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2084, 1083, 623, 24496, 12912, 827, 623, 16518, 1083, 78493, 2084, 1083, 623, 24496, 827, 623, 15921, 1083, 3714, 1201, 1083, 623, 21115, 3700, 5796, 23179, 623, 34343, 1083, 3714, 2084, 1083, 623, 77806, 827, 623, 56220, 1083, 15385, 17825, 236828, 236812, 236761, 236825, 236832, 236828, 236819, 236764, 236743, 236812, 236778, 236761, 236832, 236800, 236812, 236810, 1604, 33368, 236828, 236812, 236761, 236825, 236832, 236828, 236819, 236764, 236743, 236812, 236770, 236761, 236819, 236800, 236812, 236810, 1604, 33368, 236828, 236810, 236761, 236812, 236832, 236828, 236819, 236764, 236743, 236812, 236770, 236761, 236819, 236800, 236812, 236810, 1604, 33368, 236828, 236810, 236761, 236812, 236832, 236828, 236819, 236764, 236743, 236812, 236778, 236761, 236832, 236800, 236812, 236810, 1604, 33368, 236828, 236812, 236761, 236825, 236832, 236828, 236819, 236764, 236743, 236812, 236778, 236761, 236832, 236800, 236812, 236810, 191189, 5237, 3714, 2084, 1083, 623, 24496, 827, 623, 15921, 1083, 3714, 1201, 1083, 623, 236788, 18512, 5796, 23179, 623, 34343, 1083, 3714, 2084, 1083, 623, 77806, 827, 623, 56220, 1083, 15385, 17825, 236828, 236812, 236761, 236828, 236810, 236764, 236743, 236812, 236778, 236761, 236810, 1604, 33368, 236828, 236812, 236761, 236828, 236810, 236764, 236743, 236812, 236778, 236761, 236770, 1604, 33368, 236828, 236810, 236761, 236800, 236764, 236743, 236812, 236778, 236761, 236770, 1604, 33368, 236828, 236810, 236761, 236800, 236764, 236743, 236812, 236778, 236761, 236810, 1604, 33368, 236828, 236812, 236761, 236828, 236810, 236764, 236743, 236812, 236778, 236761, 236810, 191189, 1807, 21111, 106, 107, 105, 4368, 107, 8291, 659, 506, 25432, 8385, 2351, 822, 9155, 55574, 3673, 236787, 108, 236770, 236761, 5213, 21115, 3700, 5796, 1018, 107, 139, 236772, 119558, 55574, 3673, 236787, 236743, 107, 141, 236772, 40775, 236787, 236743, 236812, 236778, 236761, 236832, 236800, 236812, 236810, 237366, 646, 236764, 236743, 236828, 236812, 236761, 236825, 236832, 236828, 236819, 237366, 649, 107, 141, 236772, 38784, 236787, 236743, 236812, 236770, 236761, 236819, 236800, 236812, 236810, 237366, 646, 236764, 236743, 236828, 236810, 236761, 236812, 236832, 236828, 236819, 237366, 649, 108, 236778, 236761, 5213, 236788, 18512, 5796, 1018, 107, 139, 236772, 119558, 55574, 3673, 236787, 107, 141, 236772, 40775, 236787, 236743, 236812, 236778, 236761, 236810, 237366, 646, 236764, 236743, 236828, 236812, 236761, 236828, 236810, 237366, 649, 107, 141, 236772, 38784, 236787, 236743, 236812, 236778, 236761, 236770, 237366, 646, 236764, 236743, 236828, 236810, 236761, 236800, 237366, 649, 108, 818, 37455, 12324, 1262, 3831, 1800, 25432, 3798, 2351, 822, 9155, 42442, 2433, 236761, 3143, 18998, 1374, 1601, 607, 822, 185761, 7009, 7073, 6995, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 2847, 4767, 46144, 1262, 573, 1239, 25432, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 10969, 7009, 7073, 28307, 185761, 25432, 532, 1202, 531, 8701, 784, 25432, 2351, 496, 3530, 42442, 2433, 236761, 669, 4128, 563, 20129, 18378, 684, 506, 15375, 236743, 236812, 236778, 236761, 236832, 236800, 236812, 236810, 237366, 646, 236764, 236743, 236828, 236812, 236761, 236825, 236832, 236828, 236819, 237366, 649, 568, 3991, 236772, 989, 9895, 3541, 19209, 179394, 236768, 532, 236743, 236812, 236770, 236761, 236819, 236800, 236812, 236810, 237366, 646, 236764, 236743, 236828, 236810, 236761, 236812, 236832, 236828, 236819, 237366, 649, 568, 7571, 236772, 898, 9895, 25731, 52910, 769, 3199, 611, 1161, 506, 25432, 2305, 495, 49721, 2566, 5904, 531, 33205, 672, 1262, 236881, 564, 236789, 859, 1202, 506, 4453, 10028, 5618, 532, 18998, 573, 14971, 6995, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2084, 1083, 623, 24496, 12912, 827, 623, 16518, 1083, 78493, 2084, 1083, 623, 24496, 827, 623, 15921, 1083, 3714, 1201, 1083, 623, 21115, 3700, 5796, 23179, 623, 34343, 1083, 3714, 2084, 1083, 623, 77806, 827, 623, 56220, 1083, 15385, 17825, 236828, 236812, 236761, 236825, 236832, 236828, 236819, 236764, 236743, 236812, 236778, 236761, 236832, 236800, 236812, 236810, 1604, 33368, 236828, 236812, 236761, 236825, 236832, 236828, 236819, 236764, 236743, 236812, 236770, 236761, 236819, 236800, 236812, 236810, 1604, 33368, 236828, 236810, 236761, 236812, 236832, 236828, 236819, 236764, 236743, 236812, 236770, 236761, 236819, 236800, 236812, 236810, 1604, 33368, 236828, 236810, 236761, 236812, 236832, 236828, 236819, 236764, 236743, 236812, 236778, 236761, 236832, 236800, 236812, 236810, 1604, 33368, 236828, 236812, 236761, 236825, 236832, 236828, 236819, 236764, 236743, 236812, 236778, 236761, 236832, 236800, 236812, 236810, 191189, 5237, 3714, 2084, 1083, 623, 24496, 827, 623, 15921, 1083, 3714, 1201, 1083, 623, 236788, 18512, 5796, 23179, 623, 34343, 1083, 3714, 2084, 1083, 623, 77806, 827, 623, 56220, 1083, 15385, 17825, 236828, 236812, 236761, 236828, 236810, 236764, 236743, 236812, 236778, 236761, 236810, 1604, 33368, 236828, 236812, 236761, 236828, 236810, 236764, 236743, 236812, 236778, 236761, 236770, 1604, 33368, 236828, 236810, 236761, 236800, 236764, 236743, 236812, 236778, 236761, 236770, 1604, 33368, 236828, 236810, 236761, 236800, 236764, 236743, 236812, 236778, 236761, 236810, 1604, 33368, 236828, 236812, 236761, 236828, 236810, 236764, 236743, 236812, 236778, 236761, 236810, 191189, 1807, 21111, 106, 107, 105, 4368, 107, 8291, 659, 506, 25432, 8385, 2351, 822, 9155, 55574, 3673, 236787, 108, 236770, 236761, 5213, 21115, 3700, 5796, 1018, 107, 139, 236772, 119558, 55574, 3673, 236787, 236743, 107, 141, 236772, 40775, 236787, 236743, 236812, 236778, 236761, 236832, 236800, 236812, 236810, 237366, 646, 236764, 236743, 236828, 236812, 236761, 236825, 236832, 236828, 236819, 237366, 649, 107, 141, 236772, 38784, 236787, 236743, 236812, 236770, 236761, 236819, 236800, 236812, 236810, 237366, 646, 236764, 236743, 236828, 236810, 236761, 236812, 236832, 236828, 236819, 237366, 649, 108, 236778, 236761, 5213, 236788, 18512, 5796, 1018, 107, 139, 236772, 119558, 55574, 3673, 236787, 107, 141, 236772, 40775, 236787, 236743, 236812, 236778, 236761, 236810, 237366, 646, 236764, 236743, 236828, 236812, 236761, 236828, 236810, 237366, 649, 107, 141, 236772, 38784, 236787, 236743, 236812, 236778, 236761, 236770, 237366, 646, 236764, 236743, 236828, 236810, 236761, 236800, 237366, 649, 108, 818, 37455, 12324, 1262, 3831, 1800, 25432, 3798, 2351, 822, 9155, 42442, 2433, 236761, 3143, 18998, 1374, 1601, 607, 822, 185761, 7009, 7073, 6995, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 2847, 4767, 46144, 1262, 573, 1239, 25432, 236881, 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, 236789, 236757, 22260, 3435, 33000, 573, 3399, 2404, 19898, 10317, 580, 5177, 35818, 236761, 28344, 611, 2847, 27662, 3662, 4889, 573, 782, 6328, 236789, 236751, 11961, 2777, 10598, 2434, 653, 1027, 2404, 236772, 41889, 43285, 6607, 901, 2473, 36075, 236881, 564, 236789, 236757, 6412, 7467, 528, 1217, 910, 5058, 19246, 18612, 236772, 10619, 2404, 10928, 1133, 4322, 990, 3997, 653, 9069, 2404, 1894, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31935, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 827, 623, 146221, 236779, 11607, 1083, 623, 146221, 236940, 236766, 12738, 1377, 236761, 854, 827, 623, 16602, 236779, 51456, 4853, 1083, 3714, 7656, 236779, 2289, 236779, 30533, 1083, 623, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236786, 79598, 236772, 123857, 236786, 7656, 236772, 2289, 236772, 18220, 827, 623, 74362, 236779, 16602, 236779, 9442, 1083, 623, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236786, 224822, 236772, 101826, 28268, 827, 623, 37939, 236779, 110639, 1083, 78493, 1201, 1083, 623, 32106, 64542, 163028, 827, 623, 7777, 1083, 623, 157061, 95163, 6655, 18612, 9091, 66064, 827, 623, 11607, 1083, 623, 224822, 236940, 236766, 6328, 101826, 236761, 2187, 23179, 3714, 1201, 1083, 623, 11748, 7578, 31814, 122354, 827, 623, 7777, 1083, 623, 96708, 28023, 580, 5177, 2404, 573, 6951, 827, 623, 41413, 1083, 623, 236935, 236770, 236772, 236935, 236812, 236743, 236778, 236771, 236778, 236810, 9144, 14845, 236775, 200808, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 27662, 4889, 573, 782, 6328, 236789, 236751, 2404, 236772, 41889, 19898, 532, 19722, 236787, 108, 1018, 96708, 8779, 78315, 10765, 1018, 138, 107, 249979, 60669, 13948, 236787, 870, 146221, 236940, 236766, 12738, 1377, 236761, 854, 5457, 36440, 236787, 146221, 236940, 236766, 12738, 1377, 236761, 854, 236768, 138, 107, 246978, 34883, 21124, 236787, 870, 41435, 2423, 27559, 236761, 854, 5457, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236768, 108, 1018, 19924, 833, 64542, 41327, 1018, 138, 107, 236770, 236761, 5213, 11748, 7578, 8813, 25373, 1018, 138, 107, 139, 245958, 870, 148591, 41302, 40392, 5457, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236786, 79598, 236772, 123857, 236786, 7656, 236772, 2289, 236772, 18220, 236768, 138, 107, 236778, 236761, 5213, 117183, 5554, 12730, 118836, 1018, 138, 107, 139, 245958, 870, 236394, 40073, 847, 5457, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236786, 224822, 236772, 101826, 28268, 236768, 138, 108, 1018, 46640, 98916, 139945, 1018, 138, 107, 236772, 5213, 32106, 64542, 163028, 1018, 138, 107, 138, 242083, 50618, 95163, 9722, 18612, 9091, 66064, 138, 107, 138, 246080, 13948, 236787, 870, 224822, 236940, 236766, 6328, 101826, 236761, 2187, 5457, 36440, 236787, 224822, 236940, 236766, 6328, 101826, 236761, 2187, 236768, 138, 108, 236772, 5213, 11748, 7578, 31814, 122354, 1018, 138, 107, 138, 249460, 236743, 236778, 236771, 236778, 236810, 27468, 236787, 63919, 9144, 14845, 568, 236935, 236770, 236772, 236935, 236812, 236768, 138, 107, 138, 244878, 30235, 236787, 34050, 5177, 2404, 4122, 573, 6951, 138, 108, 3243, 1938, 563, 56466, 5467, 699, 782, 6328, 236789, 236751, 5125, 13199, 532, 691, 1774, 10448, 6243, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236761, 21284, 611, 1133, 786, 531, 1601, 12262, 496, 11403, 15523, 653, 2847, 3530, 1948, 4889, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 13611, 21385, 236761, 564, 236789, 236753, 1133, 531, 12262, 496, 11403, 15523, 573, 782, 6328, 236789, 236751, 23792, 7578, 31814, 122354, 36443, 531, 1023, 76108, 1108, 3399, 236789, 236751, 3548, 236761, 28344, 611, 1601, 3904, 672, 15523, 607, 506, 2269, 4820, 236881, 236743, 236770, 236761, 5213, 68105, 9620, 1018, 753, 2088, 531, 8913, 910, 42688, 9144, 14845, 607, 1023, 23538, 236789, 236751, 105669, 2065, 6607, 573, 7965, 532, 40102, 236761, 236743, 236778, 236761, 5213, 13149, 27938, 116589, 1018, 753, 149715, 80293, 573, 15430, 6224, 532, 2404, 15187, 16074, 568, 236744, 236761, 236759, 1126, 7005, 4322, 990, 7248, 236764, 9806, 6745, 9935, 769, 236743, 236800, 236761, 5213, 6654, 236772, 7320, 31202, 34428, 1018, 753, 22160, 531, 2939, 672, 618, 496, 7600, 17358, 1534, 1041, 5428, 532, 782, 6328, 236789, 236751, 14232, 64542, 163028, 236761, 564, 236858, 236753, 992, 1133, 531, 3204, 496, 1982, 43285, 4553, 531, 870, 224822, 236940, 236766, 6328, 101826, 236761, 2187, 236842, 600, 16441, 910, 9069, 2404, 33000, 3104, 532, 506, 236743, 236778, 236771, 236778, 236810, 18669, 10368, 236761, 3792, 236858, 236751, 37837, 76108, 1108, 236858, 236751, 46144, 25000, 607, 910, 11961, 35818, 3213, 1271, 236743, 236825, 236810, 236908, 529, 1023, 4399, 659, 2844, 236772, 676, 12795, 1015, 1451, 7458, 699, 5177, 9091, 66064, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31044, 15523, 10318, 532, 43285, 4553, 36443, 531, 822, 76108, 1108, 3399, 3548, 236787, 108, 7243, 108, 10354, 5213, 131115, 1837, 105971, 236787, 76108, 1108, 14232, 64542, 45012, 1018, 138, 107, 1018, 57151, 40434, 607, 782, 6328, 236789, 236751, 23792, 7578, 31814, 122354, 1018, 138, 108, 7243, 108, 2595, 5213, 236770, 236761, 43645, 9620, 1018, 138, 107, 1018, 13579, 34428, 53121, 138, 107, 236772, 5213, 10206, 105657, 41470, 53121, 138, 107, 138, 236772, 5213, 149517, 53121, 173574, 1366, 236770, 236786, 236935, 236778, 28023, 607, 49017, 105669, 2065, 2426, 236772, 11303, 568, 1283, 236743, 236810, 236772, 236770, 236828, 236768, 531, 3421, 4322, 990, 1913, 2528, 19005, 236761, 138, 107, 138, 236772, 5213, 236773, 9257, 913, 53121, 27468, 1366, 236800, 236786, 236935, 236812, 14845, 16195, 7745, 5719, 47822, 531, 37837, 5177, 35818, 618, 912, 529, 49639, 9550, 2404, 236761, 138, 107, 236772, 5213, 65787, 9483, 53121, 138, 107, 138, 236772, 50154, 6518, 236787, 782, 6328, 236789, 236751, 9144, 28023, 900, 528, 236772, 8269, 23538, 122968, 568, 236744, 236761, 236759, 1126, 67267, 30016, 1868, 236772, 141805, 35818, 34332, 769, 138, 107, 138, 236772, 14691, 236787, 623, 11748, 7578, 31814, 900, 32104, 104442, 236775, 32250, 14845, 573, 40102, 236764, 1028, 236772, 991, 684, 782, 6328, 163028, 532, 23538, 4698, 236761, 138, 108, 1018, 94394, 53121, 138, 107, 236909, 34945, 1109, 23195, 1109, 41364, 29722, 1109, 782, 6328, 29722, 1109, 138, 107, 236909, 40686, 236909, 24912, 236909, 43386, 236909, 40673, 236909, 138, 107, 236909, 1366, 236770, 236743, 236778, 236771, 236778, 236810, 1109, 12831, 236772, 41889, 28023, 1109, 137615, 1913, 49017, 33306, 1109, 39525, 9144, 14845, 900, 5405, 1109, 138, 107, 236909, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 1109, 19563, 28023, 1109, 23949, 528, 236772, 77208, 24099, 73696, 1109, 116126, 3004, 573, 9862, 12795, 1109, 138, 108, 7243, 108, 2595, 5213, 236778, 236761, 12263, 27938, 116589, 1018, 138, 107, 1018, 234180, 56489, 16151, 53121, 138, 107, 236772, 5213, 112677, 53121, 236743, 236770, 236810, 236908, 529, 76108, 1108, 4399, 568, 236749, 236784, 236995, 236800, 236771, 236771, 236768, 8835, 28023, 2351, 506, 1171, 236743, 236825, 3794, 236761, 138, 107, 236772, 5213, 10206, 53121, 236743, 236778, 236810, 236908, 26241, 684, 1366, 236812, 236743, 236778, 236771, 236778, 236810, 236764, 607, 236743, 236812, 236771, 236908, 529, 11383, 13761, 623, 81883, 4322, 990, 236775, 528, 1500, 236772, 1048, 27290, 236761, 138, 108, 1018, 19924, 129421, 64608, 53121, 138, 107, 236772, 5213, 3695, 236786, 7118, 94783, 53121, 28333, 3731, 528, 236787, 138, 107, 138, 236772, 18245, 4322, 990, 568, 5654, 236787, 57846, 236770, 6468, 9095, 573, 236743, 236810, 236771, 236908, 529, 11383, 769, 138, 107, 138, 236772, 32104, 3325, 568, 5654, 236787, 236743, 236800, 236771, 236908, 11531, 528, 1265, 236772, 70353, 6745, 9935, 769, 138, 107, 236772, 5213, 183716, 43645, 53121, 6890, 128287, 1262, 531, 65879, 18669, 26241, 607, 7005, 5177, 236772, 26514, 236772, 10619, 24764, 568, 236744, 236761, 236759, 1126, 7068, 9262, 236764, 86107, 769, 138, 108, 7243, 108, 2595, 5213, 236800, 236761, 2372, 236772, 7320, 31202, 34428, 1018, 138, 107, 1018, 28040, 573, 28338, 139517, 53121, 138, 107, 236772, 5213, 15162, 17310, 53121, 623, 236792, 2945, 1108, 14232, 64542, 45012, 236787, 101237, 684, 782, 6328, 833, 870, 11069, 25761, 7343, 50190, 138, 107, 236772, 5213, 3503, 139517, 53121, 138, 107, 138, 236772, 623, 164419, 4158, 782, 6328, 236789, 236751, 4185, 14739, 528, 5177, 35818, 532, 870, 11069, 25761, 93977, 236751, 2263, 2404, 10319, 531, 2016, 43236, 4322, 23511, 1781, 138, 107, 138, 236772, 623, 6654, 236772, 56754, 684, 782, 6328, 236789, 236751, 50618, 14232, 64542, 163028, 532, 76108, 1108, 236858, 236751, 105669, 2065, 30835, 1781, 138, 107, 236772, 5213, 60914, 53121, 138, 107, 138, 236772, 2372, 236772, 85379, 106643, 607, 1800, 55007, 532, 150167, 236787, 623, 11069, 5554, 236761, 5180, 7578, 236761, 5137, 45012, 1781, 138, 107, 138, 236772, 8779, 4009, 23693, 41671, 106834, 699, 76108, 1108, 4399, 532, 782, 6328, 163028, 236761, 138, 108, 7243, 108, 10354, 5213, 3949, 26358, 19955, 531, 782, 6328, 64542, 10765, 1018, 138, 108, 1018, 21288, 53121, 112200, 105971, 236787, 76108, 1108, 11493, 23792, 7578, 31814, 122354, 138, 108, 1018, 9256, 53121, 138, 107, 31163, 870, 236847, 6328, 64542, 10765, 1604, 138, 108, 236777, 236858, 236757, 17154, 855, 699, 870, 11069, 25761, 7343, 236842, 528, 76108, 1108, 236764, 496, 3399, 1298, 236743, 236825, 236810, 236908, 529, 1023, 4399, 659, 2844, 236772, 676, 12795, 237028, 10258, 50376, 600, 8913, 12030, 607, 782, 6328, 236858, 236751, 11961, 35818, 3213, 236761, 564, 236858, 236757, 13696, 684, 822, 870, 117183, 5554, 118836, 3104, 5457, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236786, 224822, 236772, 101826, 28268, 236768, 532, 506, 236743, 236778, 236771, 236778, 236810, 23792, 7578, 31814, 39405, 10368, 236764, 532, 564, 236858, 236753, 1133, 531, 20017, 496, 7600, 17358, 531, 6778, 822, 1948, 236858, 236751, 2263, 4100, 236761, 138, 108, 1018, 3503, 105971, 70731, 53121, 138, 107, 236772, 5213, 68105, 53121, 103523, 42688, 9144, 28023, 607, 1023, 23538, 236858, 236751, 105669, 2065, 6607, 573, 7965, 532, 40102, 236761, 138, 107, 236772, 5213, 13149, 116589, 53121, 30452, 7005, 4322, 990, 532, 9806, 6745, 15187, 1343, 6213, 27290, 532, 128287, 1262, 236761, 138, 107, 236772, 5213, 6654, 236772, 7320, 31202, 53121, 27180, 672, 618, 496, 16217, 17358, 607, 782, 6328, 236858, 236751, 14232, 64542, 163028, 532, 1023, 9737, 2434, 236761, 138, 108, 30092, 692, 10368, 496, 2246, 531, 3249, 2148, 6555, 236881, 564, 236858, 236753, 2765, 531, 11327, 1217, 672, 11403, 740, 7298, 618, 496, 2028, 573, 16106, 236772, 123857, 13859, 236761, 138, 108, 17043, 23574, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 17310, 236842, 138, 107, 236840, 11069, 13948, 23614, 236842, 138, 107, 236840, 82804, 21124, 236842, 138, 108, 7243, 108, 2094, 15523, 58811, 21281, 6417, 236787, 782, 6328, 22656, 496, 3399, 2404, 8324, 531, 18336, 36443, 28023, 236764, 1651, 822, 23538, 92104, 105669, 2065, 31622, 236761, 21284, 611, 1133, 531, 59638, 1027, 3336, 653, 1138, 3530, 23538, 4889, 236881, 106, 107, 105, 2364, 107, 236775, 12553, 236772, 24333, 236764, 564, 236858, 236753, 1133, 531, 59638, 506, 15523, 236858, 236751, 5213, 13149, 27938, 116589, 1018, 3336, 531, 2480, 7495, 76108, 1108, 236858, 236751, 4709, 86236, 236761, 28344, 611, 236787, 236743, 236770, 236761, 5213, 66649, 506, 126702, 87960, 128146, 1018, 531, 8913, 607, 1023, 23538, 236858, 236751, 1873, 105669, 2065, 15154, 6224, 568, 236778, 236810, 236908, 529, 7965, 607, 2940, 1208, 236743, 236770, 236778, 3016, 8835, 1023, 7384, 35818, 28023, 769, 236743, 236778, 236761, 5213, 3218, 496, 19563, 236772, 46163, 129421, 106022, 1018, 19240, 531, 13471, 5177, 7068, 9262, 24764, 236764, 837, 2881, 573, 236743, 236770, 236828, 236908, 529, 9550, 6213, 20503, 1913, 7745, 3409, 236761, 236743, 236800, 236761, 5213, 902, 107556, 782, 6328, 236858, 236751, 76738, 41302, 40392, 6436, 1018, 1131, 506, 128287, 16074, 2731, 236764, 17096, 692, 5577, 910, 870, 11748, 7578, 25373, 3104, 5457, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236786, 79598, 236772, 123857, 236786, 7656, 236772, 2289, 236772, 18220, 236768, 618, 496, 6511, 528, 1868, 236772, 141805, 5417, 236761, 6542, 236764, 506, 43285, 4553, 236858, 236751, 3660, 1757, 11906, 19920, 236761, 28344, 611, 70174, 625, 531, 37837, 76108, 1108, 236858, 236751, 25000, 607, 782, 6328, 236858, 236751, 11961, 35818, 3213, 236881, 20778, 2613, 1133, 236787, 5213, 236913, 74874, 2926, 14232, 64542, 573, 76108, 1108, 236858, 236751, 22211, 236772, 21035, 84430, 236787, 45012, 56802, 607, 870, 11069, 25761, 7343, 236842, 236919, 1018, 13472, 236764, 1531, 236858, 236751, 1138, 496, 5213, 71653, 107452, 1018, 3336, 531, 506, 15523, 12262, 236761, 5978, 10264, 625, 1494, 236772, 5909, 236764, 3204, 236787, 753, 93550, 5384, 573, 1028, 236772, 85379, 5417, 568, 15275, 616, 236764, 5177, 19388, 769, 753, 51508, 782, 6328, 54257, 54358, 573, 18669, 122968, 6436, 568, 236744, 236761, 236759, 1126, 9144, 5058, 2802, 236764, 46483, 33018, 2068, 769, 753, 562, 17709, 573, 23538, 4698, 990, 25519, 568, 236778, 236771, 3885, 236786, 11283, 573, 26937, 769, 1174, 795, 1601, 5528, 506, 17358, 618, 71178, 532, 44294, 19003, 1827, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 33093, 15523, 607, 822, 15633, 12496, 236787, 108, 7243, 108, 10354, 5213, 131115, 1837, 105971, 236787, 76108, 1108, 14232, 64542, 45012, 1018, 138, 107, 1018, 57151, 40434, 607, 782, 6328, 236789, 236751, 23792, 7578, 31814, 122354, 1018, 138, 108, 7243, 108, 2595, 5213, 236770, 236761, 43645, 9620, 1018, 138, 107, 16907, 3771, 3731, 15633, 573, 672, 3336, 2907, 236829, 138, 108, 7243, 108, 2595, 5213, 236778, 236761, 12263, 27938, 116589, 1018, 138, 107, 1018, 109627, 87960, 56489, 16151, 53121, 138, 107, 236772, 5213, 149517, 53121, 126702, 15430, 1076, 657, 236743, 236778, 236810, 236908, 568, 4647, 607, 23538, 236858, 236751, 6330, 35818, 18669, 26241, 573, 7965, 607, 2940, 1208, 236743, 236770, 236778, 769, 138, 107, 236772, 5213, 10206, 53121, 236743, 236812, 236771, 236908, 26241, 684, 1366, 236812, 236743, 236778, 236771, 236778, 236810, 236764, 607, 236743, 236810, 236771, 236908, 529, 11383, 13761, 623, 81883, 4322, 990, 236775, 528, 1500, 236772, 1048, 27290, 236761, 138, 108, 1018, 51551, 236772, 46163, 129421, 106022, 53121, 138, 107, 236772, 5213, 32106, 34466, 109679, 54524, 53121, 138, 107, 138, 236772, 30452, 10256, 529, 9550, 11383, 568, 1283, 236743, 236825, 236810, 51811, 13761, 7005, 7068, 9262, 24764, 1868, 236772, 141805, 568, 91339, 236787, 236743, 236770, 236828, 236908, 529, 9550, 20503, 1913, 7745, 3409, 769, 138, 107, 138, 236772, 23170, 236787, 236743, 236800, 236810, 236908, 11531, 528, 1265, 236772, 70353, 7068, 9262, 10684, 2351, 236743, 236800, 3794, 529, 18669, 15323, 236761, 138, 108, 1018, 236788, 17372, 43645, 607, 782, 6328, 25373, 53121, 138, 107, 236772, 10297, 1868, 236772, 141805, 5417, 531, 782, 6328, 236858, 236751, 870, 11748, 7578, 25373, 3104, 5457, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236786, 79598, 236772, 123857, 236786, 7656, 236772, 2289, 236772, 18220, 236768, 573, 28233, 16074, 568, 236744, 236761, 236759, 1126, 623, 4754, 14232, 64542, 9620, 236775, 23693, 769, 138, 107, 236772, 128287, 8687, 795, 8134, 6213, 14120, 529, 782, 6328, 6436, 531, 65879, 6511, 22109, 607, 14421, 15955, 236761, 138, 108, 7243, 108, 2595, 5213, 236800, 236761, 2372, 236772, 7320, 31202, 34428, 1018, 138, 107, 16907, 3771, 3731, 15633, 573, 672, 3336, 2907, 236829, 138, 108, 7243, 108, 10354, 5213, 109627, 98916, 19955, 1018, 138, 107, 1018, 21288, 53121, 5213, 74874, 2926, 14232, 64542, 573, 76108, 1108, 236858, 236751, 22211, 236772, 21035, 84430, 236787, 45012, 56802, 607, 870, 11069, 25761, 7343, 236842, 1018, 138, 108, 1018, 9256, 53121, 138, 107, 16907, 41778, 531, 7495, 26885, 19455, 532, 25000, 2907, 236829, 138, 108, 7243, 108, 10354, 5213, 71653, 107452, 1018, 138, 107, 1018, 13238, 236772, 9501, 41959, 568, 236935, 236770, 236772, 236935, 236812, 236743, 236778, 236771, 236778, 236810, 1473, 1018, 138, 108, 236909, 23223, 152, 236909, 93550, 11117, 236786, 10730, 93784, 1109, 24118, 1109, 138, 107, 236909, 2819, 40686, 236909, 2819, 2819, 1040, 236909, 40328, 236909, 138, 107, 236909, 5213, 6654, 236772, 7320, 17664, 26810, 1018, 1109, 609, 236778, 236764, 236810, 236771, 236771, 236964, 236795, 236812, 236764, 236771, 236771, 236771, 157, 236909, 49308, 1887, 106643, 236764, 5177, 19388, 236764, 532, 18669, 200392, 607, 14413, 41628, 236761, 1109, 138, 107, 236909, 5213, 236847, 6328, 225220, 558, 6217, 1018, 1109, 40279, 524, 1894, 3835, 6195, 140, 236909, 753, 5213, 163597, 6131, 236810, 236764, 236771, 236771, 236771, 1473, 1018, 31023, 5058, 2802, 900, 42527, 1894, 236761, 655, 1457, 236813, 753, 5213, 48659, 6131, 236770, 236771, 236764, 236771, 236771, 236771, 1473, 1018, 46483, 33018, 2068, 900, 1028, 236772, 85379, 128287, 12434, 6436, 236761, 655, 1457, 236813, 753, 5213, 21713, 6131, 236770, 236810, 236764, 236771, 236771, 236771, 1473, 1018, 10456, 18669, 122968, 900, 1262, 26545, 11403, 236761, 1109, 138, 107, 236909, 5213, 183716, 18982, 7578, 1018, 140, 236909, 236743, 236778, 236771, 3885, 236786, 11283, 568, 7763, 236768, 144, 236909, 1701, 26937, 236764, 128287, 16074, 236764, 532, 6213, 43285, 236761, 1109, 138, 108, 1018, 26172, 2109, 24118, 53121, 138, 107, 236772, 20879, 3213, 580, 1366, 236770, 236786, 236935, 236800, 18336, 28023, 531, 18855, 2157, 4681, 1680, 24968, 236761, 138, 107, 236772, 46071, 782, 6328, 54257, 54358, 531, 9815, 5058, 532, 46483, 5384, 236761, 138, 108, 7243, 108, 10354, 5213, 3503, 1276, 60744, 25252, 1018, 138, 107, 236770, 236761, 5213, 58946, 77453, 53121, 126702, 15430, 20843, 531, 7495, 6330, 23538, 15154, 6224, 568, 236778, 236810, 236908, 16130, 236743, 236812, 236771, 236908, 3328, 769, 138, 107, 236778, 236761, 5213, 51551, 5554, 30235, 53121, 44629, 7068, 9262, 9095, 14966, 531, 3421, 236743, 236770, 236828, 236908, 7745, 236772, 19458, 9550, 20503, 236761, 138, 107, 236800, 236761, 5213, 7741, 43645, 53121, 145971, 58916, 531, 782, 6328, 236858, 236751, 23792, 7578, 25373, 3104, 573, 128287, 16074, 532, 1868, 236772, 141805, 5405, 236761, 138, 107, 236812, 236761, 5213, 71653, 7371, 53121, 4819, 236772, 5909, 25890, 531, 8214, 54257, 18701, 532, 6145, 6511, 6995, 236761, 138, 107, 236810, 236761, 5213, 11919, 30538, 10452, 53121, 4075, 9042, 5411, 76108, 1108, 236858, 236751, 25000, 607, 782, 6328, 236858, 236751, 11961, 35818, 3213, 236761, 138, 108, 38786, 611, 1133, 786, 531, 12262, 496, 886, 236772, 131663, 12323, 573, 6145, 3540, 653, 59638, 506, 54257, 30028, 5192, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 236789, 236757, 22260, 3435, 33000, 573, 3399, 2404, 19898, 10317, 580, 5177, 35818, 236761, 28344, 611, 2847, 27662, 3662, 4889, 573, 782, 6328, 236789, 236751, 11961, 2777, 10598, 2434, 653, 1027, 2404, 236772, 41889, 43285, 6607, 901, 2473, 36075, 236881, 564, 236789, 236757, 6412, 7467, 528, 1217, 910, 5058, 19246, 18612, 236772, 10619, 2404, 10928, 1133, 4322, 990, 3997, 653, 9069, 2404, 1894, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31935, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 827, 623, 146221, 236779, 11607, 1083, 623, 146221, 236940, 236766, 12738, 1377, 236761, 854, 827, 623, 16602, 236779, 51456, 4853, 1083, 3714, 7656, 236779, 2289, 236779, 30533, 1083, 623, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236786, 79598, 236772, 123857, 236786, 7656, 236772, 2289, 236772, 18220, 827, 623, 74362, 236779, 16602, 236779, 9442, 1083, 623, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236786, 224822, 236772, 101826, 28268, 827, 623, 37939, 236779, 110639, 1083, 78493, 1201, 1083, 623, 32106, 64542, 163028, 827, 623, 7777, 1083, 623, 157061, 95163, 6655, 18612, 9091, 66064, 827, 623, 11607, 1083, 623, 224822, 236940, 236766, 6328, 101826, 236761, 2187, 23179, 3714, 1201, 1083, 623, 11748, 7578, 31814, 122354, 827, 623, 7777, 1083, 623, 96708, 28023, 580, 5177, 2404, 573, 6951, 827, 623, 41413, 1083, 623, 236935, 236770, 236772, 236935, 236812, 236743, 236778, 236771, 236778, 236810, 9144, 14845, 236775, 200808, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 27662, 4889, 573, 782, 6328, 236789, 236751, 2404, 236772, 41889, 19898, 532, 19722, 236787, 108, 1018, 96708, 8779, 78315, 10765, 1018, 138, 107, 249979, 60669, 13948, 236787, 870, 146221, 236940, 236766, 12738, 1377, 236761, 854, 5457, 36440, 236787, 146221, 236940, 236766, 12738, 1377, 236761, 854, 236768, 138, 107, 246978, 34883, 21124, 236787, 870, 41435, 2423, 27559, 236761, 854, 5457, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236768, 108, 1018, 19924, 833, 64542, 41327, 1018, 138, 107, 236770, 236761, 5213, 11748, 7578, 8813, 25373, 1018, 138, 107, 139, 245958, 870, 148591, 41302, 40392, 5457, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236786, 79598, 236772, 123857, 236786, 7656, 236772, 2289, 236772, 18220, 236768, 138, 107, 236778, 236761, 5213, 117183, 5554, 12730, 118836, 1018, 138, 107, 139, 245958, 870, 236394, 40073, 847, 5457, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236786, 224822, 236772, 101826, 28268, 236768, 138, 108, 1018, 46640, 98916, 139945, 1018, 138, 107, 236772, 5213, 32106, 64542, 163028, 1018, 138, 107, 138, 242083, 50618, 95163, 9722, 18612, 9091, 66064, 138, 107, 138, 246080, 13948, 236787, 870, 224822, 236940, 236766, 6328, 101826, 236761, 2187, 5457, 36440, 236787, 224822, 236940, 236766, 6328, 101826, 236761, 2187, 236768, 138, 108, 236772, 5213, 11748, 7578, 31814, 122354, 1018, 138, 107, 138, 249460, 236743, 236778, 236771, 236778, 236810, 27468, 236787, 63919, 9144, 14845, 568, 236935, 236770, 236772, 236935, 236812, 236768, 138, 107, 138, 244878, 30235, 236787, 34050, 5177, 2404, 4122, 573, 6951, 138, 108, 3243, 1938, 563, 56466, 5467, 699, 782, 6328, 236789, 236751, 5125, 13199, 532, 691, 1774, 10448, 6243, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236761, 21284, 611, 1133, 786, 531, 1601, 12262, 496, 11403, 15523, 653, 2847, 3530, 1948, 4889, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 13611, 21385, 236761, 564, 236789, 236753, 1133, 531, 12262, 496, 11403, 15523, 573, 782, 6328, 236789, 236751, 23792, 7578, 31814, 122354, 36443, 531, 1023, 76108, 1108, 3399, 236789, 236751, 3548, 236761, 28344, 611, 1601, 3904, 672, 15523, 607, 506, 2269, 4820, 236881, 236743, 236770, 236761, 5213, 68105, 9620, 1018, 753, 2088, 531, 8913, 910, 42688, 9144, 14845, 607, 1023, 23538, 236789, 236751, 105669, 2065, 6607, 573, 7965, 532, 40102, 236761, 236743, 236778, 236761, 5213, 13149, 27938, 116589, 1018, 753, 149715, 80293, 573, 15430, 6224, 532, 2404, 15187, 16074, 568, 236744, 236761, 236759, 1126, 7005, 4322, 990, 7248, 236764, 9806, 6745, 9935, 769, 236743, 236800, 236761, 5213, 6654, 236772, 7320, 31202, 34428, 1018, 753, 22160, 531, 2939, 672, 618, 496, 7600, 17358, 1534, 1041, 5428, 532, 782, 6328, 236789, 236751, 14232, 64542, 163028, 236761, 564, 236858, 236753, 992, 1133, 531, 3204, 496, 1982, 43285, 4553, 531, 870, 224822, 236940, 236766, 6328, 101826, 236761, 2187, 236842, 600, 16441, 910, 9069, 2404, 33000, 3104, 532, 506, 236743, 236778, 236771, 236778, 236810, 18669, 10368, 236761, 3792, 236858, 236751, 37837, 76108, 1108, 236858, 236751, 46144, 25000, 607, 910, 11961, 35818, 3213, 1271, 236743, 236825, 236810, 236908, 529, 1023, 4399, 659, 2844, 236772, 676, 12795, 1015, 1451, 7458, 699, 5177, 9091, 66064, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31044, 15523, 10318, 532, 43285, 4553, 36443, 531, 822, 76108, 1108, 3399, 3548, 236787, 108, 7243, 108, 10354, 5213, 131115, 1837, 105971, 236787, 76108, 1108, 14232, 64542, 45012, 1018, 138, 107, 1018, 57151, 40434, 607, 782, 6328, 236789, 236751, 23792, 7578, 31814, 122354, 1018, 138, 108, 7243, 108, 2595, 5213, 236770, 236761, 43645, 9620, 1018, 138, 107, 1018, 13579, 34428, 53121, 138, 107, 236772, 5213, 10206, 105657, 41470, 53121, 138, 107, 138, 236772, 5213, 149517, 53121, 173574, 1366, 236770, 236786, 236935, 236778, 28023, 607, 49017, 105669, 2065, 2426, 236772, 11303, 568, 1283, 236743, 236810, 236772, 236770, 236828, 236768, 531, 3421, 4322, 990, 1913, 2528, 19005, 236761, 138, 107, 138, 236772, 5213, 236773, 9257, 913, 53121, 27468, 1366, 236800, 236786, 236935, 236812, 14845, 16195, 7745, 5719, 47822, 531, 37837, 5177, 35818, 618, 912, 529, 49639, 9550, 2404, 236761, 138, 107, 236772, 5213, 65787, 9483, 53121, 138, 107, 138, 236772, 50154, 6518, 236787, 782, 6328, 236789, 236751, 9144, 28023, 900, 528, 236772, 8269, 23538, 122968, 568, 236744, 236761, 236759, 1126, 67267, 30016, 1868, 236772, 141805, 35818, 34332, 769, 138, 107, 138, 236772, 14691, 236787, 623, 11748, 7578, 31814, 900, 32104, 104442, 236775, 32250, 14845, 573, 40102, 236764, 1028, 236772, 991, 684, 782, 6328, 163028, 532, 23538, 4698, 236761, 138, 108, 1018, 94394, 53121, 138, 107, 236909, 34945, 1109, 23195, 1109, 41364, 29722, 1109, 782, 6328, 29722, 1109, 138, 107, 236909, 40686, 236909, 24912, 236909, 43386, 236909, 40673, 236909, 138, 107, 236909, 1366, 236770, 236743, 236778, 236771, 236778, 236810, 1109, 12831, 236772, 41889, 28023, 1109, 137615, 1913, 49017, 33306, 1109, 39525, 9144, 14845, 900, 5405, 1109, 138, 107, 236909, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 1109, 19563, 28023, 1109, 23949, 528, 236772, 77208, 24099, 73696, 1109, 116126, 3004, 573, 9862, 12795, 1109, 138, 108, 7243, 108, 2595, 5213, 236778, 236761, 12263, 27938, 116589, 1018, 138, 107, 1018, 234180, 56489, 16151, 53121, 138, 107, 236772, 5213, 112677, 53121, 236743, 236770, 236810, 236908, 529, 76108, 1108, 4399, 568, 236749, 236784, 236995, 236800, 236771, 236771, 236768, 8835, 28023, 2351, 506, 1171, 236743, 236825, 3794, 236761, 138, 107, 236772, 5213, 10206, 53121, 236743, 236778, 236810, 236908, 26241, 684, 1366, 236812, 236743, 236778, 236771, 236778, 236810, 236764, 607, 236743, 236812, 236771, 236908, 529, 11383, 13761, 623, 81883, 4322, 990, 236775, 528, 1500, 236772, 1048, 27290, 236761, 138, 108, 1018, 19924, 129421, 64608, 53121, 138, 107, 236772, 5213, 3695, 236786, 7118, 94783, 53121, 28333, 3731, 528, 236787, 138, 107, 138, 236772, 18245, 4322, 990, 568, 5654, 236787, 57846, 236770, 6468, 9095, 573, 236743, 236810, 236771, 236908, 529, 11383, 769, 138, 107, 138, 236772, 32104, 3325, 568, 5654, 236787, 236743, 236800, 236771, 236908, 11531, 528, 1265, 236772, 70353, 6745, 9935, 769, 138, 107, 236772, 5213, 183716, 43645, 53121, 6890, 128287, 1262, 531, 65879, 18669, 26241, 607, 7005, 5177, 236772, 26514, 236772, 10619, 24764, 568, 236744, 236761, 236759, 1126, 7068, 9262, 236764, 86107, 769, 138, 108, 7243, 108, 2595, 5213, 236800, 236761, 2372, 236772, 7320, 31202, 34428, 1018, 138, 107, 1018, 28040, 573, 28338, 139517, 53121, 138, 107, 236772, 5213, 15162, 17310, 53121, 623, 236792, 2945, 1108, 14232, 64542, 45012, 236787, 101237, 684, 782, 6328, 833, 870, 11069, 25761, 7343, 50190, 138, 107, 236772, 5213, 3503, 139517, 53121, 138, 107, 138, 236772, 623, 164419, 4158, 782, 6328, 236789, 236751, 4185, 14739, 528, 5177, 35818, 532, 870, 11069, 25761, 93977, 236751, 2263, 2404, 10319, 531, 2016, 43236, 4322, 23511, 1781, 138, 107, 138, 236772, 623, 6654, 236772, 56754, 684, 782, 6328, 236789, 236751, 50618, 14232, 64542, 163028, 532, 76108, 1108, 236858, 236751, 105669, 2065, 30835, 1781, 138, 107, 236772, 5213, 60914, 53121, 138, 107, 138, 236772, 2372, 236772, 85379, 106643, 607, 1800, 55007, 532, 150167, 236787, 623, 11069, 5554, 236761, 5180, 7578, 236761, 5137, 45012, 1781, 138, 107, 138, 236772, 8779, 4009, 23693, 41671, 106834, 699, 76108, 1108, 4399, 532, 782, 6328, 163028, 236761, 138, 108, 7243, 108, 10354, 5213, 3949, 26358, 19955, 531, 782, 6328, 64542, 10765, 1018, 138, 108, 1018, 21288, 53121, 112200, 105971, 236787, 76108, 1108, 11493, 23792, 7578, 31814, 122354, 138, 108, 1018, 9256, 53121, 138, 107, 31163, 870, 236847, 6328, 64542, 10765, 1604, 138, 108, 236777, 236858, 236757, 17154, 855, 699, 870, 11069, 25761, 7343, 236842, 528, 76108, 1108, 236764, 496, 3399, 1298, 236743, 236825, 236810, 236908, 529, 1023, 4399, 659, 2844, 236772, 676, 12795, 237028, 10258, 50376, 600, 8913, 12030, 607, 782, 6328, 236858, 236751, 11961, 35818, 3213, 236761, 564, 236858, 236757, 13696, 684, 822, 870, 117183, 5554, 118836, 3104, 5457, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236786, 224822, 236772, 101826, 28268, 236768, 532, 506, 236743, 236778, 236771, 236778, 236810, 23792, 7578, 31814, 39405, 10368, 236764, 532, 564, 236858, 236753, 1133, 531, 20017, 496, 7600, 17358, 531, 6778, 822, 1948, 236858, 236751, 2263, 4100, 236761, 138, 108, 1018, 3503, 105971, 70731, 53121, 138, 107, 236772, 5213, 68105, 53121, 103523, 42688, 9144, 28023, 607, 1023, 23538, 236858, 236751, 105669, 2065, 6607, 573, 7965, 532, 40102, 236761, 138, 107, 236772, 5213, 13149, 116589, 53121, 30452, 7005, 4322, 990, 532, 9806, 6745, 15187, 1343, 6213, 27290, 532, 128287, 1262, 236761, 138, 107, 236772, 5213, 6654, 236772, 7320, 31202, 53121, 27180, 672, 618, 496, 16217, 17358, 607, 782, 6328, 236858, 236751, 14232, 64542, 163028, 532, 1023, 9737, 2434, 236761, 138, 108, 30092, 692, 10368, 496, 2246, 531, 3249, 2148, 6555, 236881, 564, 236858, 236753, 2765, 531, 11327, 1217, 672, 11403, 740, 7298, 618, 496, 2028, 573, 16106, 236772, 123857, 13859, 236761, 138, 108, 17043, 23574, 236764, 138, 107, 236840, 11069, 10456, 7343, 236842, 138, 107, 236840, 11069, 17310, 236842, 138, 107, 236840, 11069, 13948, 23614, 236842, 138, 107, 236840, 82804, 21124, 236842, 138, 108, 7243, 108, 2094, 15523, 58811, 21281, 6417, 236787, 782, 6328, 22656, 496, 3399, 2404, 8324, 531, 18336, 36443, 28023, 236764, 1651, 822, 23538, 92104, 105669, 2065, 31622, 236761, 21284, 611, 1133, 531, 59638, 1027, 3336, 653, 1138, 3530, 23538, 4889, 236881, 106, 107, 105, 2364, 107, 236775, 12553, 236772, 24333, 236764, 564, 236858, 236753, 1133, 531, 59638, 506, 15523, 236858, 236751, 5213, 13149, 27938, 116589, 1018, 3336, 531, 2480, 7495, 76108, 1108, 236858, 236751, 4709, 86236, 236761, 28344, 611, 236787, 236743, 236770, 236761, 5213, 66649, 506, 126702, 87960, 128146, 1018, 531, 8913, 607, 1023, 23538, 236858, 236751, 1873, 105669, 2065, 15154, 6224, 568, 236778, 236810, 236908, 529, 7965, 607, 2940, 1208, 236743, 236770, 236778, 3016, 8835, 1023, 7384, 35818, 28023, 769, 236743, 236778, 236761, 5213, 3218, 496, 19563, 236772, 46163, 129421, 106022, 1018, 19240, 531, 13471, 5177, 7068, 9262, 24764, 236764, 837, 2881, 573, 236743, 236770, 236828, 236908, 529, 9550, 6213, 20503, 1913, 7745, 3409, 236761, 236743, 236800, 236761, 5213, 902, 107556, 782, 6328, 236858, 236751, 76738, 41302, 40392, 6436, 1018, 1131, 506, 128287, 16074, 2731, 236764, 17096, 692, 5577, 910, 870, 11748, 7578, 25373, 3104, 5457, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236786, 79598, 236772, 123857, 236786, 7656, 236772, 2289, 236772, 18220, 236768, 618, 496, 6511, 528, 1868, 236772, 141805, 5417, 236761, 6542, 236764, 506, 43285, 4553, 236858, 236751, 3660, 1757, 11906, 19920, 236761, 28344, 611, 70174, 625, 531, 37837, 76108, 1108, 236858, 236751, 25000, 607, 782, 6328, 236858, 236751, 11961, 35818, 3213, 236881, 20778, 2613, 1133, 236787, 5213, 236913, 74874, 2926, 14232, 64542, 573, 76108, 1108, 236858, 236751, 22211, 236772, 21035, 84430, 236787, 45012, 56802, 607, 870, 11069, 25761, 7343, 236842, 236919, 1018, 13472, 236764, 1531, 236858, 236751, 1138, 496, 5213, 71653, 107452, 1018, 3336, 531, 506, 15523, 12262, 236761, 5978, 10264, 625, 1494, 236772, 5909, 236764, 3204, 236787, 753, 93550, 5384, 573, 1028, 236772, 85379, 5417, 568, 15275, 616, 236764, 5177, 19388, 769, 753, 51508, 782, 6328, 54257, 54358, 573, 18669, 122968, 6436, 568, 236744, 236761, 236759, 1126, 9144, 5058, 2802, 236764, 46483, 33018, 2068, 769, 753, 562, 17709, 573, 23538, 4698, 990, 25519, 568, 236778, 236771, 3885, 236786, 11283, 573, 26937, 769, 1174, 795, 1601, 5528, 506, 17358, 618, 71178, 532, 44294, 19003, 1827, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 33093, 15523, 607, 822, 15633, 12496, 236787, 108, 7243, 108, 10354, 5213, 131115, 1837, 105971, 236787, 76108, 1108, 14232, 64542, 45012, 1018, 138, 107, 1018, 57151, 40434, 607, 782, 6328, 236789, 236751, 23792, 7578, 31814, 122354, 1018, 138, 108, 7243, 108, 2595, 5213, 236770, 236761, 43645, 9620, 1018, 138, 107, 16907, 3771, 3731, 15633, 573, 672, 3336, 2907, 236829, 138, 108, 7243, 108, 2595, 5213, 236778, 236761, 12263, 27938, 116589, 1018, 138, 107, 1018, 109627, 87960, 56489, 16151, 53121, 138, 107, 236772, 5213, 149517, 53121, 126702, 15430, 1076, 657, 236743, 236778, 236810, 236908, 568, 4647, 607, 23538, 236858, 236751, 6330, 35818, 18669, 26241, 573, 7965, 607, 2940, 1208, 236743, 236770, 236778, 769, 138, 107, 236772, 5213, 10206, 53121, 236743, 236812, 236771, 236908, 26241, 684, 1366, 236812, 236743, 236778, 236771, 236778, 236810, 236764, 607, 236743, 236810, 236771, 236908, 529, 11383, 13761, 623, 81883, 4322, 990, 236775, 528, 1500, 236772, 1048, 27290, 236761, 138, 108, 1018, 51551, 236772, 46163, 129421, 106022, 53121, 138, 107, 236772, 5213, 32106, 34466, 109679, 54524, 53121, 138, 107, 138, 236772, 30452, 10256, 529, 9550, 11383, 568, 1283, 236743, 236825, 236810, 51811, 13761, 7005, 7068, 9262, 24764, 1868, 236772, 141805, 568, 91339, 236787, 236743, 236770, 236828, 236908, 529, 9550, 20503, 1913, 7745, 3409, 769, 138, 107, 138, 236772, 23170, 236787, 236743, 236800, 236810, 236908, 11531, 528, 1265, 236772, 70353, 7068, 9262, 10684, 2351, 236743, 236800, 3794, 529, 18669, 15323, 236761, 138, 108, 1018, 236788, 17372, 43645, 607, 782, 6328, 25373, 53121, 138, 107, 236772, 10297, 1868, 236772, 141805, 5417, 531, 782, 6328, 236858, 236751, 870, 11748, 7578, 25373, 3104, 5457, 2574, 1411, 2769, 236761, 41435, 2423, 27559, 236761, 854, 236786, 79598, 236772, 123857, 236786, 7656, 236772, 2289, 236772, 18220, 236768, 573, 28233, 16074, 568, 236744, 236761, 236759, 1126, 623, 4754, 14232, 64542, 9620, 236775, 23693, 769, 138, 107, 236772, 128287, 8687, 795, 8134, 6213, 14120, 529, 782, 6328, 6436, 531, 65879, 6511, 22109, 607, 14421, 15955, 236761, 138, 108, 7243, 108, 2595, 5213, 236800, 236761, 2372, 236772, 7320, 31202, 34428, 1018, 138, 107, 16907, 3771, 3731, 15633, 573, 672, 3336, 2907, 236829, 138, 108, 7243, 108, 10354, 5213, 109627, 98916, 19955, 1018, 138, 107, 1018, 21288, 53121, 5213, 74874, 2926, 14232, 64542, 573, 76108, 1108, 236858, 236751, 22211, 236772, 21035, 84430, 236787, 45012, 56802, 607, 870, 11069, 25761, 7343, 236842, 1018, 138, 108, 1018, 9256, 53121, 138, 107, 16907, 41778, 531, 7495, 26885, 19455, 532, 25000, 2907, 236829, 138, 108, 7243, 108, 10354, 5213, 71653, 107452, 1018, 138, 107, 1018, 13238, 236772, 9501, 41959, 568, 236935, 236770, 236772, 236935, 236812, 236743, 236778, 236771, 236778, 236810, 1473, 1018, 138, 108, 236909, 23223, 152, 236909, 93550, 11117, 236786, 10730, 93784, 1109, 24118, 1109, 138, 107, 236909, 2819, 40686, 236909, 2819, 2819, 1040, 236909, 40328, 236909, 138, 107, 236909, 5213, 6654, 236772, 7320, 17664, 26810, 1018, 1109, 609, 236778, 236764, 236810, 236771, 236771, 236964, 236795, 236812, 236764, 236771, 236771, 236771, 157, 236909, 49308, 1887, 106643, 236764, 5177, 19388, 236764, 532, 18669, 200392, 607, 14413, 41628, 236761, 1109, 138, 107, 236909, 5213, 236847, 6328, 225220, 558, 6217, 1018, 1109, 40279, 524, 1894, 3835, 6195, 140, 236909, 753, 5213, 163597, 6131, 236810, 236764, 236771, 236771, 236771, 1473, 1018, 31023, 5058, 2802, 900, 42527, 1894, 236761, 655, 1457, 236813, 753, 5213, 48659, 6131, 236770, 236771, 236764, 236771, 236771, 236771, 1473, 1018, 46483, 33018, 2068, 900, 1028, 236772, 85379, 128287, 12434, 6436, 236761, 655, 1457, 236813, 753, 5213, 21713, 6131, 236770, 236810, 236764, 236771, 236771, 236771, 1473, 1018, 10456, 18669, 122968, 900, 1262, 26545, 11403, 236761, 1109, 138, 107, 236909, 5213, 183716, 18982, 7578, 1018, 140, 236909, 236743, 236778, 236771, 3885, 236786, 11283, 568, 7763, 236768, 144, 236909, 1701, 26937, 236764, 128287, 16074, 236764, 532, 6213, 43285, 236761, 1109, 138, 108, 1018, 26172, 2109, 24118, 53121, 138, 107, 236772, 20879, 3213, 580, 1366, 236770, 236786, 236935, 236800, 18336, 28023, 531, 18855, 2157, 4681, 1680, 24968, 236761, 138, 107, 236772, 46071, 782, 6328, 54257, 54358, 531, 9815, 5058, 532, 46483, 5384, 236761, 138, 108, 7243, 108, 10354, 5213, 3503, 1276, 60744, 25252, 1018, 138, 107, 236770, 236761, 5213, 58946, 77453, 53121, 126702, 15430, 20843, 531, 7495, 6330, 23538, 15154, 6224, 568, 236778, 236810, 236908, 16130, 236743, 236812, 236771, 236908, 3328, 769, 138, 107, 236778, 236761, 5213, 51551, 5554, 30235, 53121, 44629, 7068, 9262, 9095, 14966, 531, 3421, 236743, 236770, 236828, 236908, 7745, 236772, 19458, 9550, 20503, 236761, 138, 107, 236800, 236761, 5213, 7741, 43645, 53121, 145971, 58916, 531, 782, 6328, 236858, 236751, 23792, 7578, 25373, 3104, 573, 128287, 16074, 532, 1868, 236772, 141805, 5405, 236761, 138, 107, 236812, 236761, 5213, 71653, 7371, 53121, 4819, 236772, 5909, 25890, 531, 8214, 54257, 18701, 532, 6145, 6511, 6995, 236761, 138, 107, 236810, 236761, 5213, 11919, 30538, 10452, 53121, 4075, 9042, 5411, 76108, 1108, 236858, 236751, 25000, 607, 782, 6328, 236858, 236751, 11961, 35818, 3213, 236761, 138, 108, 38786, 611, 1133, 786, 531, 12262, 496, 886, 236772, 131663, 12323, 573, 6145, 3540, 653, 59638, 506, 54257, 30028, 5192, 3342, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 564, 236789, 236757, 85366, 236761, 564, 236789, 236757, 496, 3399, 4667, 96773, 2844, 531, 22435, 53439, 12824, 62476, 8511, 1590, 528, 78994, 236764, 532, 564, 1202, 531, 9128, 506, 4563, 529, 506, 37683, 32462, 53439, 66544, 1364, 573, 614, 16038, 9226, 2460, 236761, 28344, 611, 1171, 3927, 573, 672, 6261, 1699, 506, 3927, 236779, 25385, 236779, 2003, 236779, 1201, 5904, 607, 506, 1463, 623, 103811, 32462, 53439, 66544, 1364, 51653, 4298, 236764, 699, 506, 3421, 4889, 611, 33205, 236764, 8430, 506, 1883, 532, 1161, 506, 974, 236779, 13647, 236779, 13308, 5904, 531, 12270, 506, 4128, 4889, 573, 600, 1883, 2351, 506, 8288, 236761, 1174, 795, 1601, 786, 16807, 901, 236789, 500, 9995, 2721, 528, 78994, 236764, 37328, 236764, 1680, 564, 24372, 1091, 531, 4024, 910, 4083, 657, 506, 2460, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 25385, 236779, 1201, 1083, 623, 103811, 32462, 53439, 66544, 1364, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 6718, 236764, 78994, 236764, 57484, 236743, 236828, 236819, 236810, 236771, 236770, 827, 623, 13319, 1083, 623, 236794, 8043, 827, 623, 3255, 1083, 623, 47149, 827, 623, 15905, 1083, 623, 236828, 236819, 236810, 236771, 236770, 827, 623, 14801, 1083, 623, 18038, 827, 623, 5275, 1083, 10955, 236770, 568, 236832, 236832, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 31935, 1083, 623, 2574, 1411, 1424, 16322, 67566, 5025, 32326, 66544, 1364, 236761, 2187, 25938, 1604, 623, 6725, 1083, 236743, 236770, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 17846, 1083, 236743, 236770, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13647, 236779, 1201, 1083, 623, 127511, 1499, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 41626, 1083, 623, 9767, 1588, 4085, 827, 623, 38428, 1083, 236743, 236800, 236770, 236771, 236812, 236825, 236770, 236812, 236764, 623, 7376, 236779, 3476, 236779, 11375, 1083, 236743, 236778, 236828, 236825, 236800, 236828, 236771, 236764, 623, 36344, 236779, 53343, 1083, 11058, 29154, 26681, 827, 623, 236794, 8043, 827, 623, 204569, 827, 623, 25907, 10727, 26681, 827, 623, 4225, 8429, 99471, 106, 107, 105, 4368, 107, 818, 3421, 52236, 573, 5213, 103811, 32462, 53439, 66544, 1364, 1018, 563, 5213, 236770, 236778, 236800, 6400, 6718, 236764, 78994, 236764, 57484, 236743, 236828, 236819, 236810, 236771, 236770, 125546, 532, 506, 4128, 4889, 573, 5213, 127511, 1499, 568, 47149, 62902, 9128, 600, 5213, 236794, 8043, 563, 496, 3262, 3207, 1018, 528, 506, 1883, 568, 527, 9456, 528, 506, 623, 36344, 236779, 53343, 236775, 2135, 529, 506, 4128, 1262, 769, 1174, 104755, 600, 506, 6261, 563, 11161, 2721, 528, 78994, 236764, 37328, 236761, 236743, 108, 3048, 740, 79269, 7162, 607, 38564, 1091, 531, 822, 9226, 2460, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9259, 236764, 564, 236789, 236757, 85366, 236761, 564, 236789, 236757, 496, 3399, 4667, 96773, 2844, 531, 22435, 53439, 12824, 62476, 8511, 1590, 528, 78994, 236764, 532, 564, 1202, 531, 9128, 506, 4563, 529, 506, 37683, 32462, 53439, 66544, 1364, 573, 614, 16038, 9226, 2460, 236761, 28344, 611, 1171, 3927, 573, 672, 6261, 1699, 506, 3927, 236779, 25385, 236779, 2003, 236779, 1201, 5904, 607, 506, 1463, 623, 103811, 32462, 53439, 66544, 1364, 51653, 4298, 236764, 699, 506, 3421, 4889, 611, 33205, 236764, 8430, 506, 1883, 532, 1161, 506, 974, 236779, 13647, 236779, 13308, 5904, 531, 12270, 506, 4128, 4889, 573, 600, 1883, 2351, 506, 8288, 236761, 1174, 795, 1601, 786, 16807, 901, 236789, 500, 9995, 2721, 528, 78994, 236764, 37328, 236764, 1680, 564, 24372, 1091, 531, 4024, 910, 4083, 657, 506, 2460, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 25385, 236779, 1201, 1083, 623, 103811, 32462, 53439, 66544, 1364, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 6718, 236764, 78994, 236764, 57484, 236743, 236828, 236819, 236810, 236771, 236770, 827, 623, 13319, 1083, 623, 236794, 8043, 827, 623, 3255, 1083, 623, 47149, 827, 623, 15905, 1083, 623, 236828, 236819, 236810, 236771, 236770, 827, 623, 14801, 1083, 623, 18038, 827, 623, 5275, 1083, 10955, 236770, 568, 236832, 236832, 236810, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 31935, 1083, 623, 2574, 1411, 1424, 16322, 67566, 5025, 32326, 66544, 1364, 236761, 2187, 25938, 1604, 623, 6725, 1083, 236743, 236770, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 17846, 1083, 236743, 236770, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13647, 236779, 1201, 1083, 623, 127511, 1499, 827, 623, 14801, 1083, 623, 27211, 4184, 827, 623, 41626, 1083, 623, 9767, 1588, 4085, 827, 623, 38428, 1083, 236743, 236800, 236770, 236771, 236812, 236825, 236770, 236812, 236764, 623, 7376, 236779, 3476, 236779, 11375, 1083, 236743, 236778, 236828, 236825, 236800, 236828, 236771, 236764, 623, 36344, 236779, 53343, 1083, 11058, 29154, 26681, 827, 623, 236794, 8043, 827, 623, 204569, 827, 623, 25907, 10727, 26681, 827, 623, 4225, 8429, 99471, 106, 107, 105, 4368, 107, 818, 3421, 52236, 573, 5213, 103811, 32462, 53439, 66544, 1364, 1018, 563, 5213, 236770, 236778, 236800, 6400, 6718, 236764, 78994, 236764, 57484, 236743, 236828, 236819, 236810, 236771, 236770, 125546, 532, 506, 4128, 4889, 573, 5213, 127511, 1499, 568, 47149, 62902, 9128, 600, 5213, 236794, 8043, 563, 496, 3262, 3207, 1018, 528, 506, 1883, 568, 527, 9456, 528, 506, 623, 36344, 236779, 53343, 236775, 2135, 529, 506, 4128, 1262, 769, 1174, 104755, 600, 506, 6261, 563, 11161, 2721, 528, 78994, 236764, 37328, 236761, 236743, 108, 3048, 740, 79269, 7162, 607, 38564, 1091, 531, 822, 9226, 2460, 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, 8574, 611, 2426, 506, 1908, 236772, 25421, 2668, 528, 506, 2590, 1534, 6198, 236743, 236770, 532, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236881, 564, 1202, 531, 10368, 1041, 2748, 990, 573, 506, 7588, 92326, 22902, 3491, 2180, 47341, 607, 20720, 653, 38025, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9181, 236779, 25421, 236779, 14356, 1083, 11058, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236828, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236819, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 99471, 106, 107, 105, 4368, 107, 818, 1908, 236772, 25421, 2668, 528, 506, 2590, 1534, 6198, 236743, 236770, 532, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 659, 236787, 138, 107, 236772, 5213, 36817, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 48049, 236768, 138, 107, 236772, 5213, 36817, 236743, 236832, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 46325, 236768, 138, 107, 236772, 5213, 36817, 236743, 236828, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 48049, 236768, 138, 107, 236772, 5213, 36817, 236743, 236819, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 49381, 236764, 39560, 6156, 1271, 9852, 10940, 236768, 138, 107, 236772, 5213, 36817, 236743, 236770, 236812, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 46325, 236768, 138, 107, 236772, 5213, 36817, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 48049, 236768, 138, 108, 2094, 5132, 38025, 568, 236773, 4589, 14356, 236786, 152799, 1004, 236768, 532, 506, 39560, 6156, 10940, 236761, 138, 108, 1018, 21550, 2748, 2668, 1018, 568, 49381, 236964, 45262, 236764, 43943, 20720, 1473, 138, 107, 1018, 36817, 236743, 236778, 236964, 236825, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 10505, 236964, 110239, 236768, 532, 5213, 36817, 236743, 236770, 236771, 236964, 236770, 236800, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 198521, 236964, 110239, 769, 138, 108, 3048, 740, 10368, 822, 2748, 14845, 580, 1239, 2668, 531, 5571, 28847, 607, 20720, 653, 38025, 236761, 7886, 15597, 607, 822, 7588, 92326, 22902, 3491, 236888, 236743, 243082, 106, 107, 105, 2364, 107, 8574, 611, 2426, 506, 36597, 532, 14711, 2782, 573, 37083, 236764, 16119, 580, 6198, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236881, 564, 1461, 531, 10368, 1041, 5597, 2748, 6478, 2101, 58745, 3885, 2338, 564, 236858, 859, 577, 2844, 5226, 657, 506, 3195, 3432, 506, 3527, 9137, 236761, 106, 107, 105, 4368, 107, 2021, 2426, 506, 36597, 532, 14711, 2782, 573, 37083, 236764, 16119, 580, 6198, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 564, 1202, 506, 5213, 37673, 532, 50550, 1018, 529, 506, 4563, 236761, 669, 2165, 828, 236779, 152827, 236779, 98729, 236929, 5904, 7087, 1239, 15375, 618, 9103, 236761, 236743, 108, 30092, 611, 5091, 2847, 506, 40899, 532, 50550, 573, 37083, 236764, 16119, 236881, 1637, 611, 236789, 500, 54538, 236764, 564, 740, 8214, 611, 580, 1217, 531, 1586, 1091, 568, 236744, 236761, 236759, 1126, 4323, 6475, 39247, 769, 3792, 786, 1281, 236888, 236743, 246966, 106, 107, 105, 2364, 107, 818, 40899, 532, 50550, 573, 37083, 236764, 16119, 659, 8296, 236743, 236800, 236810, 236761, 236778, 236778, 236832, 236771, 237366, 646, 236764, 236743, 236819, 236832, 236761, 236812, 236800, 236819, 236810, 237366, 649, 236761, 564, 236789, 859, 1161, 1724, 15375, 531, 2426, 506, 36597, 236786, 98729, 2782, 573, 6198, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 152827, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236778, 236774, 236770, 236778, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 827, 623, 98729, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236771, 236771, 236787, 236770, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 5213, 152827, 532, 14711, 2782, 1018, 573, 37083, 236764, 16119, 568, 36043, 202225, 7578, 236768, 580, 5213, 36817, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 125546, 2721, 580, 506, 15375, 611, 3847, 236787, 108, 236772, 5213, 171656, 66515, 5213, 236832, 236787, 236800, 236778, 8151, 175643, 1018, 568, 6047, 990, 236768, 138, 107, 236772, 5213, 84585, 66515, 5213, 236832, 236787, 236770, 236778, 8711, 175643, 1018, 568, 6047, 990, 236768, 138, 108, 2094, 2820, 58745, 3885, 580, 6198, 236743, 236778, 795, 577, 699, 5213, 236832, 236787, 236800, 236778, 8151, 531, 236743, 236832, 236787, 236770, 236778, 8711, 84750, 5612, 611, 236858, 859, 577, 2844, 5226, 506, 9137, 1680, 236764, 39252, 822, 5597, 2748, 6478, 5213, 9900, 236743, 236832, 236787, 236800, 236778, 8151, 1018, 568, 236744, 236761, 236759, 1126, 236743, 236828, 236787, 236771, 236771, 8151, 236964, 236770, 236778, 236787, 236771, 236771, 8711, 236768, 1093, 8913, 1388, 607, 58745, 3885, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 6253, 822, 10368, 3342, 236888, 236743, 246966, 244878, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2426, 506, 1908, 236772, 25421, 2668, 528, 506, 2590, 1534, 6198, 236743, 236770, 532, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236881, 564, 1202, 531, 10368, 1041, 2748, 990, 573, 506, 7588, 92326, 22902, 3491, 2180, 47341, 607, 20720, 653, 38025, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 9181, 236779, 25421, 236779, 14356, 1083, 11058, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236832, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236828, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236819, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 827, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 99471, 106, 107, 105, 4368, 107, 818, 1908, 236772, 25421, 2668, 528, 506, 2590, 1534, 6198, 236743, 236770, 532, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 659, 236787, 138, 107, 236772, 5213, 36817, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 48049, 236768, 138, 107, 236772, 5213, 36817, 236743, 236832, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 46325, 236768, 138, 107, 236772, 5213, 36817, 236743, 236828, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 48049, 236768, 138, 107, 236772, 5213, 36817, 236743, 236819, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 49381, 236764, 39560, 6156, 1271, 9852, 10940, 236768, 138, 107, 236772, 5213, 36817, 236743, 236770, 236812, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 46325, 236768, 138, 107, 236772, 5213, 36817, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 48049, 236768, 138, 108, 2094, 5132, 38025, 568, 236773, 4589, 14356, 236786, 152799, 1004, 236768, 532, 506, 39560, 6156, 10940, 236761, 138, 108, 1018, 21550, 2748, 2668, 1018, 568, 49381, 236964, 45262, 236764, 43943, 20720, 1473, 138, 107, 1018, 36817, 236743, 236778, 236964, 236825, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 10505, 236964, 110239, 236768, 532, 5213, 36817, 236743, 236770, 236771, 236964, 236770, 236800, 236764, 236743, 236778, 236771, 236778, 236800, 1018, 568, 198521, 236964, 110239, 769, 138, 108, 3048, 740, 10368, 822, 2748, 14845, 580, 1239, 2668, 531, 5571, 28847, 607, 20720, 653, 38025, 236761, 7886, 15597, 607, 822, 7588, 92326, 22902, 3491, 236888, 236743, 243082, 106, 107, 105, 2364, 107, 8574, 611, 2426, 506, 36597, 532, 14711, 2782, 573, 37083, 236764, 16119, 580, 6198, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236881, 564, 1461, 531, 10368, 1041, 5597, 2748, 6478, 2101, 58745, 3885, 2338, 564, 236858, 859, 577, 2844, 5226, 657, 506, 3195, 3432, 506, 3527, 9137, 236761, 106, 107, 105, 4368, 107, 2021, 2426, 506, 36597, 532, 14711, 2782, 573, 37083, 236764, 16119, 580, 6198, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 564, 1202, 506, 5213, 37673, 532, 50550, 1018, 529, 506, 4563, 236761, 669, 2165, 828, 236779, 152827, 236779, 98729, 236929, 5904, 7087, 1239, 15375, 618, 9103, 236761, 236743, 108, 30092, 611, 5091, 2847, 506, 40899, 532, 50550, 573, 37083, 236764, 16119, 236881, 1637, 611, 236789, 500, 54538, 236764, 564, 740, 8214, 611, 580, 1217, 531, 1586, 1091, 568, 236744, 236761, 236759, 1126, 4323, 6475, 39247, 769, 3792, 786, 1281, 236888, 236743, 246966, 106, 107, 105, 2364, 107, 818, 40899, 532, 50550, 573, 37083, 236764, 16119, 659, 8296, 236743, 236800, 236810, 236761, 236778, 236778, 236832, 236771, 237366, 646, 236764, 236743, 236819, 236832, 236761, 236812, 236800, 236819, 236810, 237366, 649, 236761, 564, 236789, 859, 1161, 1724, 15375, 531, 2426, 506, 36597, 236786, 98729, 2782, 573, 6198, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 152827, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236778, 236774, 236770, 236778, 236787, 236800, 236778, 236787, 236771, 236771, 236953, 827, 623, 98729, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236800, 236774, 236771, 236771, 236787, 236770, 236778, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 5213, 152827, 532, 14711, 2782, 1018, 573, 37083, 236764, 16119, 568, 36043, 202225, 7578, 236768, 580, 5213, 36817, 236743, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 125546, 2721, 580, 506, 15375, 611, 3847, 236787, 108, 236772, 5213, 171656, 66515, 5213, 236832, 236787, 236800, 236778, 8151, 175643, 1018, 568, 6047, 990, 236768, 138, 107, 236772, 5213, 84585, 66515, 5213, 236832, 236787, 236770, 236778, 8711, 175643, 1018, 568, 6047, 990, 236768, 138, 108, 2094, 2820, 58745, 3885, 580, 6198, 236743, 236778, 795, 577, 699, 5213, 236832, 236787, 236800, 236778, 8151, 531, 236743, 236832, 236787, 236770, 236778, 8711, 84750, 5612, 611, 236858, 859, 577, 2844, 5226, 506, 9137, 1680, 236764, 39252, 822, 5597, 2748, 6478, 5213, 9900, 236743, 236832, 236787, 236800, 236778, 8151, 1018, 568, 236744, 236761, 236759, 1126, 236743, 236828, 236787, 236771, 236771, 8151, 236964, 236770, 236778, 236787, 236771, 236771, 8711, 236768, 1093, 8913, 1388, 607, 58745, 3885, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 6253, 822, 10368, 3342, 236888, 236743, 246966, 244878, 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, 18660, 18006, 2148, 9735, 532, 1461, 531, 2619, 496, 2604, 44426, 3393, 35007, 531, 506, 2460, 4889, 3104, 573, 3735, 11211, 236761, 3199, 611, 8729, 496, 2604, 236772, 36699, 44426, 3393, 573, 506, 10739, 623, 2574, 1411, 37939, 85832, 1327, 5302, 236761, 854, 236786, 50001, 236778, 236771, 236778, 236812, 236775, 1699, 506, 40035, 10252, 2509, 236881, 1174, 1093, 1601, 11383, 6077, 2802, 506, 10368, 532, 4563, 4187, 236761, 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, 117129, 3677, 236761, 854, 236786, 48203, 236772, 3970, 236772, 8114, 236786, 19057, 236881, 11240, 236784, 236832, 236781, 236819, 236751, 236774, 236888, 27689, 236758, 236935, 236778, 236802, 827, 623, 4375, 1083, 623, 9264, 236772, 36699, 44426, 3393, 10428, 7835, 573, 4560, 1411, 37939, 85832, 1327, 5302, 236761, 854, 236786, 50001, 236778, 236771, 236778, 236812, 236761, 52621, 531, 2802, 2460, 4889, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 2604, 236772, 36699, 44426, 3393, 573, 506, 18660, 18006, 4889, 236787, 108, 236840, 5147, 1590, 531, 6463, 822, 2604, 44426, 3393, 5457, 2574, 1411, 117129, 3677, 236761, 854, 236786, 48203, 236772, 3970, 236772, 8114, 236786, 19057, 236881, 11240, 236784, 236832, 236781, 236819, 236751, 236774, 236888, 27689, 236758, 236935, 236778, 236802, 236768, 108, 818, 44426, 3393, 815, 1010, 10428, 7835, 573, 506, 10739, 236787, 138, 107, 2574, 1411, 37939, 85832, 1327, 5302, 236761, 854, 236786, 50001, 236778, 236771, 236778, 236812, 108, 105279, 740, 13952, 672, 3393, 531, 26310, 2802, 506, 2460, 10368, 532, 4563, 4187, 236761, 3792, 786, 1281, 768, 611, 1202, 4658, 1663, 236888, 236743, 248207, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 3399, 18660, 18006, 2148, 9735, 532, 1461, 531, 2619, 496, 2604, 44426, 3393, 35007, 531, 506, 2460, 4889, 3104, 573, 3735, 11211, 236761, 3199, 611, 8729, 496, 2604, 236772, 36699, 44426, 3393, 573, 506, 10739, 623, 2574, 1411, 37939, 85832, 1327, 5302, 236761, 854, 236786, 50001, 236778, 236771, 236778, 236812, 236775, 1699, 506, 40035, 10252, 2509, 236881, 1174, 1093, 1601, 11383, 6077, 2802, 506, 10368, 532, 4563, 4187, 236761, 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, 117129, 3677, 236761, 854, 236786, 48203, 236772, 3970, 236772, 8114, 236786, 19057, 236881, 11240, 236784, 236832, 236781, 236819, 236751, 236774, 236888, 27689, 236758, 236935, 236778, 236802, 827, 623, 4375, 1083, 623, 9264, 236772, 36699, 44426, 3393, 10428, 7835, 573, 4560, 1411, 37939, 85832, 1327, 5302, 236761, 854, 236786, 50001, 236778, 236771, 236778, 236812, 236761, 52621, 531, 2802, 2460, 4889, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 2604, 236772, 36699, 44426, 3393, 573, 506, 18660, 18006, 4889, 236787, 108, 236840, 5147, 1590, 531, 6463, 822, 2604, 44426, 3393, 5457, 2574, 1411, 117129, 3677, 236761, 854, 236786, 48203, 236772, 3970, 236772, 8114, 236786, 19057, 236881, 11240, 236784, 236832, 236781, 236819, 236751, 236774, 236888, 27689, 236758, 236935, 236778, 236802, 236768, 108, 818, 44426, 3393, 815, 1010, 10428, 7835, 573, 506, 10739, 236787, 138, 107, 2574, 1411, 37939, 85832, 1327, 5302, 236761, 854, 236786, 50001, 236778, 236771, 236778, 236812, 108, 105279, 740, 13952, 672, 3393, 531, 26310, 2802, 506, 2460, 10368, 532, 4563, 4187, 236761, 3792, 786, 1281, 768, 611, 1202, 4658, 1663, 236888, 236743, 248207, 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, 3182, 573, 1070, 2263, 4252, 4749, 13922, 528, 80086, 672, 9735, 236761, 28344, 611, 1601, 786, 1586, 1144, 236789, 236751, 2487, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 33205, 1938, 1003, 2263, 4252, 4749, 653, 41874, 236761, 669, 2487, 6436, 1186, 1894, 8568, 4749, 568, 5282, 41199, 573, 17262, 8568, 779, 3668, 24458, 12853, 236764, 633, 236770, 7924, 90915, 236764, 4799, 22868, 1938, 236764, 36963, 51424, 236764, 76891, 15345, 17507, 236764, 532, 1032, 3530, 1161, 3636, 236761, 20044, 236764, 564, 740, 236789, 236745, 1601, 607, 4252, 2460, 45174, 1699, 506, 1873, 5904, 1025, 236761, 21284, 611, 1133, 786, 531, 2426, 573, 8568, 4749, 5205, 236764, 653, 563, 993, 2264, 1595, 564, 740, 6361, 236881, 106, 107, 105, 2364, 107, 12932, 236764, 564, 3782, 236789, 236745, 13808, 506, 6436, 1537, 236789, 236745, 2890, 4252, 4749, 236761, 2088, 1003, 16329, 506, 16038, 3668, 24458, 4972, 573, 506, 26431, 102273, 672, 9735, 236881, 2981, 2473, 577, 6121, 236761, 106, 107, 105, 4368, 107, 2021, 2426, 506, 16038, 3668, 24458, 4972, 573, 506, 26431, 102273, 236764, 564, 1202, 506, 3530, 2434, 5853, 573, 506, 102273, 236761, 669, 1873, 5904, 7087, 672, 5853, 531, 33205, 506, 12853, 236761, 28344, 611, 5091, 2847, 506, 26431, 102273, 236789, 2434, 5853, 236881, 41433, 236764, 768, 611, 236789, 500, 54538, 1217, 531, 1586, 625, 236764, 564, 740, 8214, 611, 580, 1298, 531, 1385, 568, 236744, 236761, 236759, 1126, 5125, 23532, 4456, 653, 8568, 34438, 779, 840, 564, 1537, 236789, 236745, 735, 1982, 2802, 531, 1385, 872, 2434, 62606, 7564, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 711, 2889, 1217, 531, 1586, 506, 2434, 5853, 236761, 28344, 611, 3442, 786, 1298, 531, 1385, 573, 625, 236881, 564, 236789, 236757, 496, 3103, 60247, 607, 23532, 2434, 62606, 532, 1093, 14756, 14984, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 1385, 872, 2434, 62606, 5467, 236764, 840, 611, 740, 1586, 506, 26431, 102273, 236789, 23532, 2434, 5853, 684, 19460, 573, 623, 109180, 102273, 23532, 2434, 5853, 236775, 580, 496, 3927, 3958, 236761, 13752, 7021, 1133, 506, 23532, 236789, 236751, 5125, 4456, 568, 236749, 1674, 236761, 854, 236786, 68925, 236786, 57003, 6244, 236772, 39375, 8902, 236768, 653, 55511, 236789, 236751, 23532, 3336, 3187, 1694, 2434, 62606, 236761, 1701, 2591, 236764, 506, 102273, 659, 11082, 13720, 2434, 5853, 5213, 236770, 236771, 1018, 528, 23532, 3797, 236764, 840, 5091, 16807, 672, 699, 496, 13451, 3738, 1680, 11211, 625, 607, 786, 236761, 9920, 611, 9128, 506, 4338, 5853, 236764, 564, 236789, 859, 2426, 506, 16038, 12853, 1699, 506, 2165, 14992, 4874, 25541, 236929, 5904, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236888, 564, 236789, 236757, 3182, 573, 1070, 2263, 4252, 4749, 13922, 528, 80086, 672, 9735, 236761, 28344, 611, 1601, 786, 1586, 1144, 236789, 236751, 2487, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6436, 600, 740, 33205, 1938, 1003, 2263, 4252, 4749, 653, 41874, 236761, 669, 2487, 6436, 1186, 1894, 8568, 4749, 568, 5282, 41199, 573, 17262, 8568, 779, 3668, 24458, 12853, 236764, 633, 236770, 7924, 90915, 236764, 4799, 22868, 1938, 236764, 36963, 51424, 236764, 76891, 15345, 17507, 236764, 532, 1032, 3530, 1161, 3636, 236761, 20044, 236764, 564, 740, 236789, 236745, 1601, 607, 4252, 2460, 45174, 1699, 506, 1873, 5904, 1025, 236761, 21284, 611, 1133, 786, 531, 2426, 573, 8568, 4749, 5205, 236764, 653, 563, 993, 2264, 1595, 564, 740, 6361, 236881, 106, 107, 105, 2364, 107, 12932, 236764, 564, 3782, 236789, 236745, 13808, 506, 6436, 1537, 236789, 236745, 2890, 4252, 4749, 236761, 2088, 1003, 16329, 506, 16038, 3668, 24458, 4972, 573, 506, 26431, 102273, 672, 9735, 236881, 2981, 2473, 577, 6121, 236761, 106, 107, 105, 4368, 107, 2021, 2426, 506, 16038, 3668, 24458, 4972, 573, 506, 26431, 102273, 236764, 564, 1202, 506, 3530, 2434, 5853, 573, 506, 102273, 236761, 669, 1873, 5904, 7087, 672, 5853, 531, 33205, 506, 12853, 236761, 28344, 611, 5091, 2847, 506, 26431, 102273, 236789, 2434, 5853, 236881, 41433, 236764, 768, 611, 236789, 500, 54538, 1217, 531, 1586, 625, 236764, 564, 740, 8214, 611, 580, 1298, 531, 1385, 568, 236744, 236761, 236759, 1126, 5125, 23532, 4456, 653, 8568, 34438, 779, 840, 564, 1537, 236789, 236745, 735, 1982, 2802, 531, 1385, 872, 2434, 62606, 7564, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 711, 2889, 1217, 531, 1586, 506, 2434, 5853, 236761, 28344, 611, 3442, 786, 1298, 531, 1385, 573, 625, 236881, 564, 236789, 236757, 496, 3103, 60247, 607, 23532, 2434, 62606, 532, 1093, 14756, 14984, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 1385, 872, 2434, 62606, 5467, 236764, 840, 611, 740, 1586, 506, 26431, 102273, 236789, 23532, 2434, 5853, 684, 19460, 573, 623, 109180, 102273, 23532, 2434, 5853, 236775, 580, 496, 3927, 3958, 236761, 13752, 7021, 1133, 506, 23532, 236789, 236751, 5125, 4456, 568, 236749, 1674, 236761, 854, 236786, 68925, 236786, 57003, 6244, 236772, 39375, 8902, 236768, 653, 55511, 236789, 236751, 23532, 3336, 3187, 1694, 2434, 62606, 236761, 1701, 2591, 236764, 506, 102273, 659, 11082, 13720, 2434, 5853, 5213, 236770, 236771, 1018, 528, 23532, 3797, 236764, 840, 5091, 16807, 672, 699, 496, 13451, 3738, 1680, 11211, 625, 607, 786, 236761, 9920, 611, 9128, 506, 4338, 5853, 236764, 564, 236789, 859, 2426, 506, 16038, 12853, 1699, 506, 2165, 14992, 4874, 25541, 236929, 5904, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11947, 5597, 236761, 564, 236789, 560, 1010, 23021, 531, 11327, 31894, 236789, 236751, 9992, 3668, 11858, 7088, 1570, 236761, 2085, 236789, 236751, 496, 4467, 11554, 531, 40504, 172116, 532, 39160, 55263, 236764, 840, 564, 236789, 236757, 711, 2889, 529, 506, 4453, 4563, 236761, 28344, 611, 1601, 786, 1586, 600, 4467, 532, 2426, 768, 993, 236789, 236751, 12660, 2487, 14942, 236881, 564, 236789, 236753, 1133, 531, 2731, 1041, 7946, 9668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 164297, 1083, 78493, 1201, 1083, 623, 193476, 172116, 236772, 140505, 55263, 34641, 4556, 827, 623, 7720, 1083, 623, 236770, 236812, 236770, 236810, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 827, 623, 7777, 1083, 623, 236776, 11858, 4467, 183943, 506, 6176, 532, 13728, 529, 40504, 172116, 532, 39160, 55263, 236764, 18482, 30427, 532, 496, 30644, 7972, 10498, 623, 67299, 236779, 18700, 1083, 1847, 236764, 623, 67299, 236779, 13308, 1083, 623, 40703, 12660, 2487, 580, 4695, 17463, 532, 14942, 15729, 236793, 951, 11554, 12660, 2606, 221476, 3714, 1201, 1083, 623, 176919, 547, 10892, 4556, 827, 623, 7720, 1083, 623, 236810, 236825, 236771, 236770, 57915, 547, 10892, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236810, 827, 623, 7777, 1083, 623, 4906, 529, 31894, 236789, 236751, 24625, 24682, 236764, 607, 17110, 13217, 236764, 496, 48971, 236764, 532, 41260, 4106, 10498, 623, 67299, 236779, 18700, 1083, 1847, 236764, 623, 67299, 236779, 13308, 1083, 623, 48873, 12660, 10163, 2351, 506, 4467, 236764, 2440, 3541, 506, 48971, 532, 1689, 16825, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 67299, 236779, 8194, 1083, 78493, 1201, 1083, 623, 193476, 172116, 23563, 44546, 827, 623, 7720, 1083, 623, 236770, 236812, 236770, 236810, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 827, 623, 17178, 236779, 89803, 1083, 236743, 236800, 236771, 236764, 623, 9707, 236779, 721, 236779, 13807, 1083, 236743, 236812, 236761, 236771, 236764, 623, 18700, 236779, 54674, 1083, 236743, 236770, 236778, 236764, 623, 5265, 236779, 2998, 1083, 1847, 1263, 3714, 1201, 1083, 623, 131318, 9252, 44546, 76524, 827, 623, 7720, 1083, 623, 236770, 236800, 236810, 236771, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 827, 623, 17178, 236779, 89803, 1083, 236743, 236770, 236778, 236771, 236764, 623, 9707, 236779, 721, 236779, 13807, 1083, 236743, 236810, 236761, 236810, 236764, 623, 18700, 236779, 54674, 1083, 236743, 236832, 236764, 623, 5265, 236779, 2998, 1083, 1847, 1263, 3714, 1201, 1083, 623, 135541, 4085, 27236, 827, 623, 7720, 1083, 623, 236770, 236810, 236771, 236771, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 827, 623, 17178, 236779, 89803, 1083, 236743, 236778, 236810, 236771, 236764, 623, 9707, 236779, 721, 236779, 13807, 1083, 236743, 236800, 236761, 236771, 236764, 623, 18700, 236779, 54674, 1083, 236743, 236778, 236778, 236764, 623, 5265, 236779, 2998, 1083, 2416, 165075, 106, 107, 105, 4368, 107, 818, 40504, 172116, 236772, 140505, 55263, 34641, 4556, 563, 5628, 657, 5213, 236770, 236812, 236770, 236810, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 84750, 1174, 4467, 204387, 506, 6176, 532, 13728, 529, 40504, 172116, 532, 39160, 55263, 236764, 18482, 30427, 532, 496, 30644, 7972, 236761, 108, 10354, 98733, 44546, 28636, 236787, 107, 236772, 5213, 193476, 172116, 23563, 44546, 1018, 138, 107, 138, 244343, 236743, 236770, 236812, 236770, 236810, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 138, 107, 138, 249387, 238178, 236743, 236800, 236771, 15930, 3121, 1109, 236743, 244314, 609, 236812, 236761, 236771, 236771, 236786, 13807, 1109, 113452, 7607, 1492, 1109, 236743, 252492, 238178, 236743, 236770, 236778, 16746, 2487, 138, 108, 236772, 5213, 131318, 9252, 44546, 76524, 1018, 138, 107, 138, 244343, 236743, 236770, 236800, 236810, 236771, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 138, 107, 138, 249387, 238178, 236743, 236770, 236778, 236771, 15930, 3121, 1109, 236743, 244314, 609, 236810, 236761, 236810, 236771, 236786, 13807, 1109, 113452, 7607, 1492, 1109, 236743, 252492, 238178, 236743, 236832, 16746, 2487, 138, 108, 236772, 5213, 135541, 4085, 27236, 1018, 138, 107, 138, 244343, 236743, 236770, 236810, 236771, 236771, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 138, 107, 138, 249387, 238178, 236743, 236778, 236810, 236771, 15930, 3121, 1109, 236743, 244314, 609, 236800, 236761, 236771, 236771, 236786, 13807, 1109, 236743, 242523, 65287, 568, 2217, 2487, 1492, 236768, 138, 108, 818, 24119, 532, 1346, 13139, 5086, 563, 506, 5213, 193476, 172116, 23563, 44546, 1018, 5467, 657, 506, 4467, 3421, 236761, 1030, 236858, 236751, 1932, 1492, 607, 33503, 16746, 2487, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 6995, 822, 3517, 236888, 236743, 247221, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 11947, 5597, 236761, 564, 236789, 560, 1010, 23021, 531, 11327, 31894, 236789, 236751, 9992, 3668, 11858, 7088, 1570, 236761, 2085, 236789, 236751, 496, 4467, 11554, 531, 40504, 172116, 532, 39160, 55263, 236764, 840, 564, 236789, 236757, 711, 2889, 529, 506, 4453, 4563, 236761, 28344, 611, 1601, 786, 1586, 600, 4467, 532, 2426, 768, 993, 236789, 236751, 12660, 2487, 14942, 236881, 564, 236789, 236753, 1133, 531, 2731, 1041, 7946, 9668, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 164297, 1083, 78493, 1201, 1083, 623, 193476, 172116, 236772, 140505, 55263, 34641, 4556, 827, 623, 7720, 1083, 623, 236770, 236812, 236770, 236810, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 827, 623, 7777, 1083, 623, 236776, 11858, 4467, 183943, 506, 6176, 532, 13728, 529, 40504, 172116, 532, 39160, 55263, 236764, 18482, 30427, 532, 496, 30644, 7972, 10498, 623, 67299, 236779, 18700, 1083, 1847, 236764, 623, 67299, 236779, 13308, 1083, 623, 40703, 12660, 2487, 580, 4695, 17463, 532, 14942, 15729, 236793, 951, 11554, 12660, 2606, 221476, 3714, 1201, 1083, 623, 176919, 547, 10892, 4556, 827, 623, 7720, 1083, 623, 236810, 236825, 236771, 236770, 57915, 547, 10892, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236810, 827, 623, 7777, 1083, 623, 4906, 529, 31894, 236789, 236751, 24625, 24682, 236764, 607, 17110, 13217, 236764, 496, 48971, 236764, 532, 41260, 4106, 10498, 623, 67299, 236779, 18700, 1083, 1847, 236764, 623, 67299, 236779, 13308, 1083, 623, 48873, 12660, 10163, 2351, 506, 4467, 236764, 2440, 3541, 506, 48971, 532, 1689, 16825, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 67299, 236779, 8194, 1083, 78493, 1201, 1083, 623, 193476, 172116, 23563, 44546, 827, 623, 7720, 1083, 623, 236770, 236812, 236770, 236810, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 827, 623, 17178, 236779, 89803, 1083, 236743, 236800, 236771, 236764, 623, 9707, 236779, 721, 236779, 13807, 1083, 236743, 236812, 236761, 236771, 236764, 623, 18700, 236779, 54674, 1083, 236743, 236770, 236778, 236764, 623, 5265, 236779, 2998, 1083, 1847, 1263, 3714, 1201, 1083, 623, 131318, 9252, 44546, 76524, 827, 623, 7720, 1083, 623, 236770, 236800, 236810, 236771, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 827, 623, 17178, 236779, 89803, 1083, 236743, 236770, 236778, 236771, 236764, 623, 9707, 236779, 721, 236779, 13807, 1083, 236743, 236810, 236761, 236810, 236764, 623, 18700, 236779, 54674, 1083, 236743, 236832, 236764, 623, 5265, 236779, 2998, 1083, 1847, 1263, 3714, 1201, 1083, 623, 135541, 4085, 27236, 827, 623, 7720, 1083, 623, 236770, 236810, 236771, 236771, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 827, 623, 17178, 236779, 89803, 1083, 236743, 236778, 236810, 236771, 236764, 623, 9707, 236779, 721, 236779, 13807, 1083, 236743, 236800, 236761, 236771, 236764, 623, 18700, 236779, 54674, 1083, 236743, 236778, 236778, 236764, 623, 5265, 236779, 2998, 1083, 2416, 165075, 106, 107, 105, 4368, 107, 818, 40504, 172116, 236772, 140505, 55263, 34641, 4556, 563, 5628, 657, 5213, 236770, 236812, 236770, 236810, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 84750, 1174, 4467, 204387, 506, 6176, 532, 13728, 529, 40504, 172116, 532, 39160, 55263, 236764, 18482, 30427, 532, 496, 30644, 7972, 236761, 108, 10354, 98733, 44546, 28636, 236787, 107, 236772, 5213, 193476, 172116, 23563, 44546, 1018, 138, 107, 138, 244343, 236743, 236770, 236812, 236770, 236810, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 138, 107, 138, 249387, 238178, 236743, 236800, 236771, 15930, 3121, 1109, 236743, 244314, 609, 236812, 236761, 236771, 236771, 236786, 13807, 1109, 113452, 7607, 1492, 1109, 236743, 252492, 238178, 236743, 236770, 236778, 16746, 2487, 138, 108, 236772, 5213, 131318, 9252, 44546, 76524, 1018, 138, 107, 138, 244343, 236743, 236770, 236800, 236810, 236771, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 138, 107, 138, 249387, 238178, 236743, 236770, 236778, 236771, 15930, 3121, 1109, 236743, 244314, 609, 236810, 236761, 236810, 236771, 236786, 13807, 1109, 113452, 7607, 1492, 1109, 236743, 252492, 238178, 236743, 236832, 16746, 2487, 138, 108, 236772, 5213, 135541, 4085, 27236, 1018, 138, 107, 138, 244343, 236743, 236770, 236810, 236771, 236771, 645, 4695, 18977, 236764, 31894, 236764, 16781, 236743, 236778, 236770, 236778, 236770, 236800, 138, 107, 138, 249387, 238178, 236743, 236778, 236810, 236771, 15930, 3121, 1109, 236743, 244314, 609, 236800, 236761, 236771, 236771, 236786, 13807, 1109, 236743, 242523, 65287, 568, 2217, 2487, 1492, 236768, 138, 108, 818, 24119, 532, 1346, 13139, 5086, 563, 506, 5213, 193476, 172116, 23563, 44546, 1018, 5467, 657, 506, 4467, 3421, 236761, 1030, 236858, 236751, 1932, 1492, 607, 33503, 16746, 2487, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 6995, 822, 3517, 236888, 236743, 247221, 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, 1610, 532, 2780, 19063, 531, 28501, 9630, 4085, 607, 1041, 13919, 236761, 19704, 506, 10298, 1791, 9116, 699, 1041, 1977, 528, 25179, 3593, 531, 5524, 784, 506, 16746, 2180, 57749, 990, 237028, 3307, 13128, 41726, 2810, 236789, 236745, 1531, 786, 4305, 496, 3210, 236761, 38882, 1523, 236787, 236743, 236812, 236810, 236825, 6400, 842, 236764, 25179, 3593, 236764, 29297, 236743, 236828, 236812, 236771, 236770, 236810, 236761, 5315, 4721, 236787, 26516, 11109, 529, 30794, 14822, 657, 236743, 236778, 236771, 555, 236743, 236770, 236810, 236771, 236771, 645, 236764, 28501, 9630, 4085, 236764, 29297, 236743, 236828, 236812, 236770, 236778, 236770, 236761, 9674, 4721, 236787, 210390, 12090, 657, 236743, 236778, 236810, 236771, 649, 236743, 236778, 236771, 236771, 555, 236764, 28501, 9630, 4085, 236764, 29297, 236743, 236828, 236812, 236770, 236771, 236770, 568, 3350, 564, 1461, 531, 18439, 37374, 573, 1041, 1610, 8884, 769, 20687, 4721, 236787, 193030, 166730, 657, 236743, 236770, 236778, 236800, 6400, 842, 236764, 28501, 9630, 4085, 236764, 29297, 236743, 236828, 236812, 236770, 236771, 236770, 573, 600, 861, 21568, 236772, 64835, 19549, 13415, 564, 236789, 560, 1010, 7317, 522, 236761, 22241, 506, 12567, 9116, 573, 784, 1806, 20627, 236761, 4298, 236764, 3622, 611, 735, 506, 9116, 4889, 236764, 1868, 496, 5433, 21250, 623, 9175, 833, 10353, 47880, 236775, 607, 3004, 236787, 623, 17531, 13919, 236888, 19109, 563, 870, 11679, 4889, 1619, 5185, 236789, 236745, 10849, 21256, 17133, 237028, 53619, 54936, 12090, 236858, 236751, 2506, 31950, 7363, 1610, 236764, 532, 564, 236858, 236757, 711, 23725, 6533, 20327, 625, 236761, 34556, 657, 506, 14871, 657, 236743, 236770, 236771, 8151, 14658, 9332, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11679, 1083, 11058, 236812, 236810, 236825, 6400, 842, 236764, 25179, 3593, 236764, 29297, 236743, 236828, 236812, 236771, 236770, 236810, 827, 623, 236778, 236771, 555, 236743, 236770, 236810, 236771, 236771, 645, 236764, 28501, 9630, 4085, 236764, 29297, 236743, 236828, 236812, 236770, 236778, 236770, 827, 623, 236778, 236810, 236771, 649, 236743, 236778, 236771, 236771, 555, 236764, 28501, 9630, 4085, 236764, 29297, 236743, 236828, 236812, 236770, 236771, 236770, 827, 623, 236770, 236778, 236800, 6400, 842, 236764, 28501, 9630, 4085, 236764, 29297, 236743, 236828, 236812, 236770, 236771, 236770, 14255, 623, 6725, 236779, 17178, 1083, 623, 236778, 236812, 236761, 236832, 7635, 827, 623, 51183, 236779, 2289, 1083, 623, 236770, 6468, 236743, 236770, 236810, 4310, 827, 623, 58591, 236779, 2400, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14210, 236779, 547, 1083, 623, 14341, 236832, 236828, 236819, 54283, 827, 623, 4818, 1083, 623, 95845, 25938, 106, 107, 105, 4368, 107, 11069, 623, 9175, 833, 10353, 47880, 236775, 5433, 815, 1010, 10428, 12551, 236888, 236743, 245838, 246903, 108, 1018, 10282, 5853, 53121, 24505, 236832, 236828, 236819, 54283, 138, 107, 1018, 6717, 53121, 50786, 138, 108, 1018, 9541, 53121, 138, 107, 236813, 808, 17531, 13919, 236888, 19109, 563, 236743, 236778, 236812, 236761, 236832, 7635, 236764, 236743, 236770, 6468, 236743, 236770, 236810, 4310, 236761, 5185, 236789, 236745, 10849, 21256, 17133, 237028, 53619, 54936, 12090, 236858, 236751, 2506, 31950, 7363, 1610, 236764, 532, 564, 236858, 236757, 711, 23725, 6533, 20327, 625, 236761, 34556, 657, 506, 14871, 657, 236743, 236770, 236771, 8151, 14658, 236888, 236829, 138, 108, 11069, 9116, 563, 35813, 531, 5524, 784, 20627, 2180, 1290, 2278, 236761, 5912, 611, 657, 506, 14871, 236888, 73687, 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 ]
[ 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, 1610, 532, 2780, 19063, 531, 28501, 9630, 4085, 607, 1041, 13919, 236761, 19704, 506, 10298, 1791, 9116, 699, 1041, 1977, 528, 25179, 3593, 531, 5524, 784, 506, 16746, 2180, 57749, 990, 237028, 3307, 13128, 41726, 2810, 236789, 236745, 1531, 786, 4305, 496, 3210, 236761, 38882, 1523, 236787, 236743, 236812, 236810, 236825, 6400, 842, 236764, 25179, 3593, 236764, 29297, 236743, 236828, 236812, 236771, 236770, 236810, 236761, 5315, 4721, 236787, 26516, 11109, 529, 30794, 14822, 657, 236743, 236778, 236771, 555, 236743, 236770, 236810, 236771, 236771, 645, 236764, 28501, 9630, 4085, 236764, 29297, 236743, 236828, 236812, 236770, 236778, 236770, 236761, 9674, 4721, 236787, 210390, 12090, 657, 236743, 236778, 236810, 236771, 649, 236743, 236778, 236771, 236771, 555, 236764, 28501, 9630, 4085, 236764, 29297, 236743, 236828, 236812, 236770, 236771, 236770, 568, 3350, 564, 1461, 531, 18439, 37374, 573, 1041, 1610, 8884, 769, 20687, 4721, 236787, 193030, 166730, 657, 236743, 236770, 236778, 236800, 6400, 842, 236764, 28501, 9630, 4085, 236764, 29297, 236743, 236828, 236812, 236770, 236771, 236770, 573, 600, 861, 21568, 236772, 64835, 19549, 13415, 564, 236789, 560, 1010, 7317, 522, 236761, 22241, 506, 12567, 9116, 573, 784, 1806, 20627, 236761, 4298, 236764, 3622, 611, 735, 506, 9116, 4889, 236764, 1868, 496, 5433, 21250, 623, 9175, 833, 10353, 47880, 236775, 607, 3004, 236787, 623, 17531, 13919, 236888, 19109, 563, 870, 11679, 4889, 1619, 5185, 236789, 236745, 10849, 21256, 17133, 237028, 53619, 54936, 12090, 236858, 236751, 2506, 31950, 7363, 1610, 236764, 532, 564, 236858, 236757, 711, 23725, 6533, 20327, 625, 236761, 34556, 657, 506, 14871, 657, 236743, 236770, 236771, 8151, 14658, 9332, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11679, 1083, 11058, 236812, 236810, 236825, 6400, 842, 236764, 25179, 3593, 236764, 29297, 236743, 236828, 236812, 236771, 236770, 236810, 827, 623, 236778, 236771, 555, 236743, 236770, 236810, 236771, 236771, 645, 236764, 28501, 9630, 4085, 236764, 29297, 236743, 236828, 236812, 236770, 236778, 236770, 827, 623, 236778, 236810, 236771, 649, 236743, 236778, 236771, 236771, 555, 236764, 28501, 9630, 4085, 236764, 29297, 236743, 236828, 236812, 236770, 236771, 236770, 827, 623, 236770, 236778, 236800, 6400, 842, 236764, 28501, 9630, 4085, 236764, 29297, 236743, 236828, 236812, 236770, 236771, 236770, 14255, 623, 6725, 236779, 17178, 1083, 623, 236778, 236812, 236761, 236832, 7635, 827, 623, 51183, 236779, 2289, 1083, 623, 236770, 6468, 236743, 236770, 236810, 4310, 827, 623, 58591, 236779, 2400, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14210, 236779, 547, 1083, 623, 14341, 236832, 236828, 236819, 54283, 827, 623, 4818, 1083, 623, 95845, 25938, 106, 107, 105, 4368, 107, 11069, 623, 9175, 833, 10353, 47880, 236775, 5433, 815, 1010, 10428, 12551, 236888, 236743, 245838, 246903, 108, 1018, 10282, 5853, 53121, 24505, 236832, 236828, 236819, 54283, 138, 107, 1018, 6717, 53121, 50786, 138, 108, 1018, 9541, 53121, 138, 107, 236813, 808, 17531, 13919, 236888, 19109, 563, 236743, 236778, 236812, 236761, 236832, 7635, 236764, 236743, 236770, 6468, 236743, 236770, 236810, 4310, 236761, 5185, 236789, 236745, 10849, 21256, 17133, 237028, 53619, 54936, 12090, 236858, 236751, 2506, 31950, 7363, 1610, 236764, 532, 564, 236858, 236757, 711, 23725, 6533, 20327, 625, 236761, 34556, 657, 506, 14871, 657, 236743, 236770, 236771, 8151, 14658, 236888, 236829, 138, 108, 11069, 9116, 563, 35813, 531, 5524, 784, 20627, 2180, 1290, 2278, 236761, 5912, 611, 657, 506, 14871, 236888, 73687, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 30493, 496, 3399, 14049, 18669, 657, 496, 6322, 4563, 840, 1202, 531, 2426, 506, 19573, 4889, 1171, 236761, 5715, 236789, 236751, 1144, 564, 1202, 3028, 236787, 236743, 236770, 236761, 6890, 506, 38485, 236779, 2003, 236779, 3274, 3970, 5904, 607, 206242, 623, 47747, 236819, 236743, 236770, 101722, 236775, 531, 974, 506, 3399, 3988, 236789, 236751, 3421, 532, 4456, 236761, 236743, 236778, 236761, 9920, 564, 735, 506, 4456, 10739, 699, 506, 1171, 2918, 236764, 1161, 12203, 236779, 76794, 531, 2426, 910, 22479, 14626, 573, 15830, 580, 6198, 236743, 236778, 236770, 540, 236761, 236743, 236800, 236761, 1637, 506, 3433, 563, 2487, 236764, 2619, 496, 1894, 15049, 1699, 2619, 236779, 37947, 607, 506, 3660, 623, 117635, 39405, 66591, 236775, 532, 3204, 506, 27234, 4914, 528, 506, 6492, 531, 10781, 969, 506, 33391, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 3714, 3274, 3970, 1083, 623, 47747, 236819, 236743, 236770, 101722, 827, 623, 37673, 1083, 236743, 236810, 236770, 236761, 236812, 236778, 236800, 236832, 236764, 623, 41713, 1083, 753, 236771, 236761, 236800, 236778, 236825, 236828, 236764, 623, 7376, 236779, 1201, 1083, 623, 80370, 3230, 15235, 827, 623, 6047, 236779, 84885, 1083, 623, 7306, 22810, 9511, 66137, 7124, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 6968, 3230, 15235, 37939, 36895, 236761, 2187, 236761, 1490, 827, 623, 7720, 236779, 8721, 1083, 11058, 80370, 3230, 15235, 11493, 11368, 827, 623, 236770, 236778, 4819, 6718, 827, 623, 47747, 236819, 236743, 236770, 101722, 1935, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 76794, 236779, 2451, 1083, 623, 2574, 1411, 21122, 236761, 6968, 3230, 15235, 37939, 36895, 236761, 2187, 236761, 1490, 236786, 23426, 236786, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 236761, 5067, 827, 623, 89082, 1083, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 827, 623, 56905, 1083, 623, 87877, 827, 623, 57569, 1083, 11058, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236787, 236771, 236771, 8711, 827, 623, 236778, 236787, 236771, 236771, 8711, 753, 236743, 236810, 236787, 236771, 236771, 8711, 14255, 623, 23184, 1083, 623, 46640, 2978, 2487, 573, 22479, 236761, 2301, 4487, 41819, 3505, 1781, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37947, 236779, 547, 1083, 623, 236774, 38536, 236772, 236812, 236810, 236825, 236832, 827, 623, 4818, 1083, 623, 17138, 827, 623, 4375, 1083, 623, 16400, 15049, 756, 117635, 39405, 66591, 236789, 815, 1010, 10428, 4464, 607, 7860, 13546, 236761, 17243, 5132, 19573, 15830, 4889, 532, 27234, 4914, 3205, 1781, 236783, 106, 107, 105, 4368, 107, 818, 3399, 14049, 18669, 657, 29076, 3230, 15235, 11493, 11368, 568, 3274, 3970, 236787, 48704, 236819, 236743, 236770, 101722, 236768, 815, 1010, 13313, 1154, 35929, 236761, 5715, 236789, 236751, 506, 26093, 236787, 108, 236770, 236761, 5213, 131020, 20303, 1018, 138, 107, 139, 244343, 15874, 236787, 29076, 3230, 15235, 11493, 11368, 236764, 236743, 236770, 236778, 4819, 6718, 138, 107, 139, 246978, 21124, 236787, 870, 6968, 3230, 15235, 37939, 36895, 236761, 2187, 236761, 1490, 5457, 2574, 1411, 2769, 236761, 6968, 3230, 15235, 37939, 36895, 236761, 2187, 236761, 1490, 236768, 108, 236778, 236761, 5213, 51164, 1018, 138, 107, 139, 240732, 6198, 236743, 236778, 236770, 540, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 138, 107, 139, 236772, 33299, 10855, 236787, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 145984, 10855, 236787, 236743, 236778, 236787, 236771, 236771, 8711, 753, 236743, 236810, 236787, 236771, 236771, 8711, 138, 107, 139, 243826, 870, 28637, 179524, 5457, 2574, 1411, 21122, 236761, 6968, 3230, 15235, 37939, 36895, 236761, 2187, 236761, 1490, 236786, 23426, 236786, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 236761, 5067, 236768, 108, 236800, 236761, 5213, 70329, 18365, 1018, 138, 107, 139, 250050, 238178, 12730, 52505, 236787, 5213, 236774, 38536, 236772, 236812, 236810, 236825, 236832, 1018, 568, 49074, 59193, 236768, 138, 107, 139, 236775, 117635, 39405, 66591, 236775, 15049, 4464, 10428, 607, 15830, 4889, 532, 27234, 4914, 236761, 108, 38786, 611, 1133, 786, 531, 5039, 672, 26093, 531, 1027, 23095, 653, 7162, 607, 42527, 5417, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 30493, 496, 3399, 14049, 18669, 657, 496, 6322, 4563, 840, 1202, 531, 2426, 506, 19573, 4889, 1171, 236761, 5715, 236789, 236751, 1144, 564, 1202, 3028, 236787, 236743, 236770, 236761, 6890, 506, 38485, 236779, 2003, 236779, 3274, 3970, 5904, 607, 206242, 623, 47747, 236819, 236743, 236770, 101722, 236775, 531, 974, 506, 3399, 3988, 236789, 236751, 3421, 532, 4456, 236761, 236743, 236778, 236761, 9920, 564, 735, 506, 4456, 10739, 699, 506, 1171, 2918, 236764, 1161, 12203, 236779, 76794, 531, 2426, 910, 22479, 14626, 573, 15830, 580, 6198, 236743, 236778, 236770, 540, 236761, 236743, 236800, 236761, 1637, 506, 3433, 563, 2487, 236764, 2619, 496, 1894, 15049, 1699, 2619, 236779, 37947, 607, 506, 3660, 623, 117635, 39405, 66591, 236775, 532, 3204, 506, 27234, 4914, 528, 506, 6492, 531, 10781, 969, 506, 33391, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 3714, 3274, 3970, 1083, 623, 47747, 236819, 236743, 236770, 101722, 827, 623, 37673, 1083, 236743, 236810, 236770, 236761, 236812, 236778, 236800, 236832, 236764, 623, 41713, 1083, 753, 236771, 236761, 236800, 236778, 236825, 236828, 236764, 623, 7376, 236779, 1201, 1083, 623, 80370, 3230, 15235, 827, 623, 6047, 236779, 84885, 1083, 623, 7306, 22810, 9511, 66137, 7124, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 6968, 3230, 15235, 37939, 36895, 236761, 2187, 236761, 1490, 827, 623, 7720, 236779, 8721, 1083, 11058, 80370, 3230, 15235, 11493, 11368, 827, 623, 236770, 236778, 4819, 6718, 827, 623, 47747, 236819, 236743, 236770, 101722, 1935, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 76794, 236779, 2451, 1083, 623, 2574, 1411, 21122, 236761, 6968, 3230, 15235, 37939, 36895, 236761, 2187, 236761, 1490, 236786, 23426, 236786, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 236761, 5067, 827, 623, 89082, 1083, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 827, 623, 56905, 1083, 623, 87877, 827, 623, 57569, 1083, 11058, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236787, 236771, 236771, 8711, 827, 623, 236778, 236787, 236771, 236771, 8711, 753, 236743, 236810, 236787, 236771, 236771, 8711, 14255, 623, 23184, 1083, 623, 46640, 2978, 2487, 573, 22479, 236761, 2301, 4487, 41819, 3505, 1781, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37947, 236779, 547, 1083, 623, 236774, 38536, 236772, 236812, 236810, 236825, 236832, 827, 623, 4818, 1083, 623, 17138, 827, 623, 4375, 1083, 623, 16400, 15049, 756, 117635, 39405, 66591, 236789, 815, 1010, 10428, 4464, 607, 7860, 13546, 236761, 17243, 5132, 19573, 15830, 4889, 532, 27234, 4914, 3205, 1781, 236783, 106, 107, 105, 4368, 107, 818, 3399, 14049, 18669, 657, 29076, 3230, 15235, 11493, 11368, 568, 3274, 3970, 236787, 48704, 236819, 236743, 236770, 101722, 236768, 815, 1010, 13313, 1154, 35929, 236761, 5715, 236789, 236751, 506, 26093, 236787, 108, 236770, 236761, 5213, 131020, 20303, 1018, 138, 107, 139, 244343, 15874, 236787, 29076, 3230, 15235, 11493, 11368, 236764, 236743, 236770, 236778, 4819, 6718, 138, 107, 139, 246978, 21124, 236787, 870, 6968, 3230, 15235, 37939, 36895, 236761, 2187, 236761, 1490, 5457, 2574, 1411, 2769, 236761, 6968, 3230, 15235, 37939, 36895, 236761, 2187, 236761, 1490, 236768, 108, 236778, 236761, 5213, 51164, 1018, 138, 107, 139, 240732, 6198, 236743, 236778, 236770, 540, 236764, 236743, 236778, 236771, 236778, 236800, 236787, 138, 107, 139, 236772, 33299, 10855, 236787, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236770, 236787, 236771, 236771, 8711, 138, 107, 139, 236772, 145984, 10855, 236787, 236743, 236778, 236787, 236771, 236771, 8711, 753, 236743, 236810, 236787, 236771, 236771, 8711, 138, 107, 139, 243826, 870, 28637, 179524, 5457, 2574, 1411, 21122, 236761, 6968, 3230, 15235, 37939, 36895, 236761, 2187, 236761, 1490, 236786, 23426, 236786, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 236761, 5067, 236768, 108, 236800, 236761, 5213, 70329, 18365, 1018, 138, 107, 139, 250050, 238178, 12730, 52505, 236787, 5213, 236774, 38536, 236772, 236812, 236810, 236825, 236832, 1018, 568, 49074, 59193, 236768, 138, 107, 139, 236775, 117635, 39405, 66591, 236775, 15049, 4464, 10428, 607, 15830, 4889, 532, 27234, 4914, 236761, 108, 38786, 611, 1133, 786, 531, 5039, 672, 26093, 531, 1027, 23095, 653, 7162, 607, 42527, 5417, 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, 2958, 1070, 10946, 14767, 531, 2862, 872, 580, 573, 1041, 65417, 2299, 657, 506, 9550, 3988, 236761, 2085, 236789, 236751, 496, 2931, 40166, 56101, 1076, 564, 236789, 560, 3472, 3489, 600, 5072, 4011, 573, 50415, 236761, 669, 9447, 1204, 563, 603, 236771, 236828, 236778, 121517, 236825, 236863, 236800, 236935, 236764, 840, 564, 1461, 531, 2426, 506, 1873, 3385, 236764, 15830, 236764, 532, 1144, 79802, 659, 6420, 1003, 1061, 39601, 236761, 28344, 611, 1385, 872, 600, 1698, 8052, 573, 786, 236881, 564, 236789, 236753, 1133, 531, 10769, 625, 607, 496, 2321, 1032, 3835, 1680, 3043, 496, 7408, 4893, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 3250, 1083, 623, 27426, 1250, 236789, 236751, 179285, 88464, 5833, 573, 227132, 833, 232432, 827, 623, 9707, 1083, 6610, 236778, 236819, 236761, 236819, 236819, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236770, 236828, 236819, 236764, 623, 5930, 236779, 7777, 1083, 623, 2094, 13611, 40166, 56101, 5689, 5132, 236743, 236800, 104048, 34888, 45389, 236764, 236743, 236778, 40166, 26309, 236764, 532, 496, 13418, 1624, 236761, 56900, 573, 9550, 5089, 607, 46391, 236772, 18865, 82698, 236764, 506, 1076, 5862, 11381, 529, 2401, 40166, 103730, 699, 223806, 29380, 236761, 136007, 20743, 45389, 607, 7080, 7116, 19171, 2847, 5931, 1913, 9239, 1161, 10498, 623, 2478, 236779, 16518, 1083, 11058, 66649, 742, 16625, 2256, 573, 9958, 40166, 14733, 827, 623, 1558, 507, 607, 68360, 26630, 573, 50415, 827, 623, 64556, 236743, 236810, 1607, 14770, 223806, 7365, 827, 623, 116359, 13418, 1624, 607, 6261, 32915, 14255, 623, 43852, 236779, 66850, 1083, 78493, 13126, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 54133, 573, 19563, 159088, 41218, 623, 3063, 1083, 623, 2205, 496, 21136, 9800, 607, 129918, 4916, 236764, 1239, 104048, 45389, 1386, 34888, 40166, 3643, 33276, 236761, 669, 5689, 815, 4326, 4354, 531, 1502, 7107, 1041, 1852, 40166, 7913, 573, 65417, 145262, 221476, 3714, 13126, 1083, 236743, 236812, 236764, 623, 3250, 1083, 623, 11947, 3325, 840, 9724, 886, 44182, 827, 623, 3063, 1083, 623, 818, 34888, 45389, 659, 1401, 9650, 236764, 3635, 506, 8289, 12208, 9724, 886, 529, 506, 40166, 26309, 3894, 531, 506, 18241, 1694, 236761, 17438, 2509, 3265, 496, 14268, 6077, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 573, 506, 40166, 56101, 1076, 568, 2371, 1204, 236787, 603, 236771, 236828, 236778, 121517, 236825, 236863, 236800, 236935, 1473, 108, 1018, 11280, 53121, 609, 236778, 236819, 236761, 236819, 236819, 138, 107, 1018, 51164, 53121, 799, 13827, 568, 40090, 17793, 236768, 138, 107, 1018, 35089, 47240, 53121, 236743, 236812, 236761, 236810, 236786, 236810, 568, 236770, 236828, 236819, 10595, 236768, 138, 108, 1018, 3503, 25772, 53121, 138, 107, 236772, 94680, 44805, 236764, 46391, 236772, 18865, 34888, 45389, 607, 7116, 19171, 138, 107, 236772, 111660, 16625, 2256, 573, 9958, 40166, 14733, 138, 107, 236772, 49308, 68360, 26630, 532, 236743, 236810, 14770, 223806, 7365, 138, 107, 236772, 57725, 13418, 1624, 607, 6261, 32915, 138, 108, 1018, 38682, 2109, 24118, 53121, 138, 107, 236772, 34980, 10595, 30450, 506, 9650, 1702, 573, 40102, 607, 129918, 4916, 138, 107, 236772, 3656, 65991, 6950, 496, 9724, 40166, 8214, 14877, 236764, 840, 14268, 691, 3847, 6077, 138, 108, 1018, 40943, 699, 9352, 53121, 138, 107, 103550, 54133, 573, 19563, 159088, 236888, 3143, 45389, 1386, 34888, 40166, 33276, 1781, 236779, 138, 108, 38786, 611, 1133, 786, 531, 1385, 872, 1027, 3530, 25988, 3211, 573, 9960, 236881, 564, 740, 1601, 18840, 1032, 9447, 1204, 236751, 768, 611, 236789, 236753, 1133, 531, 11327, 24277, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 2765, 531, 10769, 625, 607, 1156, 1032, 3835, 564, 236789, 560, 6827, 1003, 236761, 5315, 236764, 993, 236789, 236751, 506, 623, 27426, 1250, 236789, 236751, 179285, 209054, 15806, 236775, 607, 9447, 1204, 603, 236771, 236828, 236797, 236810, 236874, 185763, 236800, 236792, 600, 1041, 4389, 6950, 236761, 9674, 236764, 564, 5004, 496, 623, 51551, 236772, 83899, 209054, 138757, 236775, 657, 496, 10946, 5888, 607, 9447, 1204, 603, 236771, 236819, 236855, 236825, 236953, 109450, 236778, 236794, 1271, 1451, 611, 2426, 1724, 236881, 564, 236789, 236757, 6412, 23210, 1003, 910, 3385, 3298, 236764, 13358, 236772, 1340, 236772, 1930, 4065, 573, 9862, 4916, 236764, 532, 3363, 901, 3204, 68360, 5417, 236761, 3792, 236789, 236751, 3213, 580, 3835, 1208, 609, 236800, 236810, 2338, 506, 9550, 3988, 815, 496, 30997, 7715, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 3250, 1083, 623, 27426, 1250, 236789, 236751, 179285, 209054, 15806, 827, 623, 9707, 1083, 6610, 236778, 236819, 236761, 236819, 236819, 827, 623, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236771, 236771, 1263, 623, 56905, 1083, 623, 902, 13827, 827, 623, 7777, 1083, 623, 236776, 2430, 236772, 18865, 34888, 5689, 5402, 573, 50415, 236764, 18482, 104048, 6436, 9273, 573, 9862, 4916, 236764, 2918, 236772, 2003, 236772, 9340, 68360, 8214, 236764, 532, 784, 5417, 4354, 531, 2619, 6079, 40166, 236761, 49308, 5646, 236772, 82894, 7116, 6237, 532, 29929, 16625, 7846, 573, 13358, 529, 1161, 10498, 623, 16518, 1083, 11058, 19574, 236759, 44805, 1702, 573, 46391, 236772, 18865, 12804, 827, 623, 174791, 2948, 532, 1816, 52379, 827, 623, 71653, 236772, 18865, 1208, 609, 236800, 236810, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 51551, 236772, 83899, 209054, 138757, 753, 94680, 44805, 55860, 36903, 15806, 573, 159088, 833, 129619, 236772, 83899, 6890, 827, 623, 9707, 1083, 236743, 236778, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 70686, 1083, 3714, 28128, 1083, 236743, 236812, 236761, 236825, 236764, 623, 2861, 1083, 236743, 236770, 236778, 236828, 1263, 623, 56905, 1083, 623, 902, 13827, 827, 623, 7777, 1083, 623, 62300, 524, 607, 40102, 528, 3666, 236764, 672, 34888, 86191, 4065, 4481, 236772, 20619, 236764, 7080, 236772, 236751, 17664, 7116, 6237, 532, 877, 236772, 151195, 518, 27040, 1365, 531, 6439, 1526, 9262, 236761, 15806, 5132, 12289, 236749, 236772, 111660, 16625, 86191, 568, 236770, 236778, 8455, 1123, 236743, 236828, 160830, 236785, 236749, 236772, 236743, 236800, 104048, 34888, 45389, 236785, 236749, 236772, 236743, 236810, 236771, 236772, 15631, 877, 236772, 151195, 14538, 40166, 20456, 236785, 236749, 236772, 14938, 236772, 2003, 236772, 9340, 2948, 2802, 833, 18640, 12040, 236785, 236749, 236772, 10645, 236772, 59722, 29690, 37304, 573, 2633, 11646, 827, 623, 16518, 1083, 3714, 68354, 236779, 1340, 236779, 1930, 1083, 11058, 181329, 24832, 236772, 18865, 6060, 1702, 827, 623, 3695, 236772, 132690, 524, 518, 27040, 1365, 827, 623, 13238, 236772, 32463, 40166, 26309, 14255, 623, 109982, 236779, 80234, 1083, 11058, 79853, 86191, 5528, 827, 623, 67619, 1261, 45389, 568, 236800, 11550, 22730, 623, 236874, 1673, 32013, 20456, 827, 623, 32106, 14787, 2948, 2802, 152254, 623, 89653, 236779, 3906, 1083, 623, 162517, 19743, 753, 1908, 236772, 72401, 37388, 236764, 20274, 14453, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 506, 1806, 9550, 236772, 18865, 40166, 34888, 3835, 1208, 609, 236800, 236810, 236787, 108, 236909, 37868, 157, 236909, 18909, 568, 236799, 236771, 236828, 236778, 121517, 236825, 236863, 236800, 236935, 236768, 145, 236909, 15806, 603, 236771, 236828, 236797, 236810, 236874, 185763, 236800, 236792, 151, 236909, 138757, 603, 236771, 236819, 236855, 236825, 236953, 109450, 236778, 236794, 568, 8534, 24067, 236768, 139, 236909, 107, 236909, 2819, 12857, 236909, 2819, 44042, 236909, 2819, 29118, 236909, 2819, 29118, 236909, 107, 236909, 5213, 11280, 1018, 154, 236909, 609, 236778, 236819, 236761, 236819, 236819, 160, 236909, 609, 236778, 236819, 236761, 236819, 236819, 159, 236909, 609, 236778, 236819, 236761, 236819, 236819, 159, 236909, 107, 236909, 5213, 12127, 1018, 153, 236909, 236743, 236812, 236761, 236810, 236786, 236770, 236828, 236819, 10595, 151, 236909, 236743, 236812, 236761, 236810, 236786, 236770, 236764, 236778, 236771, 236771, 10595, 148, 236909, 236743, 236812, 236761, 236825, 236786, 236770, 236778, 236828, 10595, 150, 236909, 107, 236909, 5213, 3503, 54198, 1018, 145, 236909, 236743, 236800, 45389, 236764, 236743, 236778, 26309, 236764, 13418, 1624, 236764, 26630, 1109, 94680, 44805, 45389, 236764, 29929, 16625, 236764, 52379, 1109, 138757, 5528, 236764, 236743, 236800, 45389, 236764, 877, 236772, 151195, 40166, 236764, 5177, 2948, 1109, 107, 236909, 5213, 51551, 236772, 83899, 7803, 1018, 1109, 129619, 82698, 236764, 7116, 19171, 1109, 94680, 44805, 6436, 150, 236909, 32417, 236772, 20619, 7116, 4688, 236764, 1908, 236772, 59722, 3225, 1109, 107, 236909, 5213, 74279, 514, 26810, 1018, 236909, 26630, 5012, 154, 236909, 11994, 236786, 1005, 26309, 148, 236909, 11994, 900, 18640, 12040, 139, 236909, 107, 236909, 5213, 35093, 88444, 1018, 143, 236909, 71808, 1624, 153, 236909, 7660, 20301, 5086, 145, 236909, 5213, 162517, 236772, 94636, 5646, 125546, 877, 236772, 132690, 524, 518, 27040, 1365, 1109, 108, 1018, 211199, 53121, 138, 107, 818, 5213, 51551, 236772, 83899, 209054, 138757, 568, 236799, 236771, 236819, 236855, 236825, 236953, 109450, 236778, 236794, 62902, 11979, 855, 573, 1061, 236787, 107, 236772, 138757, 1702, 600, 236789, 236751, 8722, 573, 50415, 1082, 6672, 34888, 19524, 107, 236772, 3946, 236772, 151195, 518, 27040, 1365, 6439, 1526, 9262, 107, 236772, 106237, 5646, 8443, 568, 162517, 19743, 236768, 107, 236772, 25179, 7426, 26309, 573, 2708, 236772, 13031, 5089, 108, 3243, 3835, 4691, 822, 7715, 236764, 840, 506, 86191, 10884, 1149, 2729, 506, 196233, 6165, 4735, 9023, 573, 40102, 236761, 21284, 611, 1133, 786, 531, 2426, 15830, 529, 1012, 37924, 653, 17040, 36498, 573, 1027, 529, 1239, 236881, 106, 107, 105, 2364, 107, 6481, 786, 2426, 506, 19563, 236772, 83899, 209054, 138757, 568, 236799, 236771, 236819, 236855, 236825, 236953, 109450, 236778, 236794, 236768, 1171, 2338, 625, 236789, 236751, 506, 1903, 25809, 236761, 564, 236789, 859, 1161, 506, 974, 236779, 30053, 236779, 5930, 236779, 13308, 5904, 531, 1385, 573, 1027, 1012, 37924, 653, 17040, 21212, 3835, 2487, 573, 672, 3530, 9447, 1204, 236761, 5213, 7741, 9861, 53121, 974, 236779, 30053, 236779, 5930, 236779, 13308, 236769, 2371, 1204, 718, 236799, 236771, 236819, 236855, 236825, 236953, 109450, 236778, 236794, 1373, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 3250, 1083, 623, 51551, 236772, 83899, 209054, 138757, 621, 236756, 236778, 236771, 236770, 236800, 21437, 236772, 1071, 236772, 10896, 44594, 209054, 50776, 573, 159088, 833, 137202, 827, 623, 9707, 1083, 6610, 236770, 236778, 236819, 236761, 236819, 236819, 827, 623, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236810, 236771, 1263, 623, 56905, 1083, 623, 902, 13827, 827, 623, 7777, 1083, 623, 19574, 236759, 44805, 34888, 86191, 5402, 573, 40102, 532, 50415, 236761, 25772, 29929, 16625, 2256, 236764, 7080, 236772, 13825, 518, 27040, 1365, 236764, 532, 496, 27472, 20743, 5528, 236761, 49308, 2918, 236772, 2003, 236772, 9340, 14787, 12040, 532, 32013, 34888, 5689, 10498, 623, 75633, 236779, 86211, 1083, 3714, 18700, 1083, 1847, 236764, 623, 70343, 236779, 14210, 1083, 623, 127080, 36498, 2487, 573, 25663, 529, 236743, 236800, 236862, 6630, 236761, 13948, 9593, 7449, 573, 2401, 12657, 1781, 1807, 106, 107, 105, 4368, 107, 1509, 5724, 1133, 993, 236789, 236751, 496, 5213, 9707, 59725, 1018, 1534, 506, 1156, 14273, 529, 506, 19563, 236772, 83899, 209054, 138757, 568, 236799, 236771, 236819, 236855, 236825, 236953, 109450, 236778, 236794, 1473, 138, 107, 236772, 5213, 43190, 20104, 53121, 609, 236778, 236819, 236761, 236819, 236819, 568, 4060, 877, 236772, 151195, 40166, 532, 86191, 5528, 236768, 138, 107, 236772, 5213, 8782, 20104, 53121, 609, 236770, 236778, 236819, 236761, 236819, 236819, 568, 4060, 623, 173226, 16625, 86191, 532, 20743, 5528, 1373, 138, 108, 2094, 12205, 993, 1149, 577, 5213, 13498, 9245, 1698, 15936, 1018, 1208, 506, 1638, 9447, 1204, 236764, 653, 496, 21212, 4610, 2338, 1023, 1171, 2426, 236761, 138, 108, 10354, 9533, 20303, 699, 506, 14040, 76592, 236787, 138, 107, 236772, 5213, 127080, 79913, 53121, 18326, 573, 236743, 236800, 236862, 6630, 568, 11607, 9593, 7449, 573, 12657, 236768, 138, 107, 236772, 5213, 27144, 53121, 111660, 16625, 236764, 20743, 5528, 236764, 14787, 12040, 236764, 532, 32013, 5689, 138, 108, 10354, 12067, 50228, 573, 5180, 29125, 6131, 236800, 236810, 8645, 1473, 138, 107, 236770, 236761, 5213, 81933, 506, 9447, 1204, 53121, 64063, 3363, 603, 236771, 236819, 236855, 236825, 236953, 109450, 236778, 236794, 1492, 1186, 15852, 506, 609, 236770, 236778, 236819, 236761, 236819, 236819, 3567, 568, 7650, 32839, 822, 7715, 769, 138, 107, 236778, 236761, 5213, 93993, 28636, 53121, 1637, 506, 609, 236778, 236819, 236761, 236819, 236819, 3567, 563, 951, 4890, 2487, 236764, 564, 740, 3927, 573, 1032, 9550, 236772, 18865, 34888, 34332, 1208, 609, 236800, 236810, 607, 17040, 21212, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236772, 7179, 573, 5213, 39460, 7449, 17040, 21212, 6366, 1018, 573, 672, 9447, 1204, 236881, 138, 107, 236772, 12808, 573, 5213, 83186, 34332, 1208, 609, 236800, 236810, 1018, 607, 1012, 236772, 2658, 15830, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 2958, 1070, 10946, 14767, 531, 2862, 872, 580, 573, 1041, 65417, 2299, 657, 506, 9550, 3988, 236761, 2085, 236789, 236751, 496, 2931, 40166, 56101, 1076, 564, 236789, 560, 3472, 3489, 600, 5072, 4011, 573, 50415, 236761, 669, 9447, 1204, 563, 603, 236771, 236828, 236778, 121517, 236825, 236863, 236800, 236935, 236764, 840, 564, 1461, 531, 2426, 506, 1873, 3385, 236764, 15830, 236764, 532, 1144, 79802, 659, 6420, 1003, 1061, 39601, 236761, 28344, 611, 1385, 872, 600, 1698, 8052, 573, 786, 236881, 564, 236789, 236753, 1133, 531, 10769, 625, 607, 496, 2321, 1032, 3835, 1680, 3043, 496, 7408, 4893, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 3250, 1083, 623, 27426, 1250, 236789, 236751, 179285, 88464, 5833, 573, 227132, 833, 232432, 827, 623, 9707, 1083, 6610, 236778, 236819, 236761, 236819, 236819, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236770, 236828, 236819, 236764, 623, 5930, 236779, 7777, 1083, 623, 2094, 13611, 40166, 56101, 5689, 5132, 236743, 236800, 104048, 34888, 45389, 236764, 236743, 236778, 40166, 26309, 236764, 532, 496, 13418, 1624, 236761, 56900, 573, 9550, 5089, 607, 46391, 236772, 18865, 82698, 236764, 506, 1076, 5862, 11381, 529, 2401, 40166, 103730, 699, 223806, 29380, 236761, 136007, 20743, 45389, 607, 7080, 7116, 19171, 2847, 5931, 1913, 9239, 1161, 10498, 623, 2478, 236779, 16518, 1083, 11058, 66649, 742, 16625, 2256, 573, 9958, 40166, 14733, 827, 623, 1558, 507, 607, 68360, 26630, 573, 50415, 827, 623, 64556, 236743, 236810, 1607, 14770, 223806, 7365, 827, 623, 116359, 13418, 1624, 607, 6261, 32915, 14255, 623, 43852, 236779, 66850, 1083, 78493, 13126, 1083, 236743, 236810, 236764, 623, 3250, 1083, 623, 54133, 573, 19563, 159088, 41218, 623, 3063, 1083, 623, 2205, 496, 21136, 9800, 607, 129918, 4916, 236764, 1239, 104048, 45389, 1386, 34888, 40166, 3643, 33276, 236761, 669, 5689, 815, 4326, 4354, 531, 1502, 7107, 1041, 1852, 40166, 7913, 573, 65417, 145262, 221476, 3714, 13126, 1083, 236743, 236812, 236764, 623, 3250, 1083, 623, 11947, 3325, 840, 9724, 886, 44182, 827, 623, 3063, 1083, 623, 818, 34888, 45389, 659, 1401, 9650, 236764, 3635, 506, 8289, 12208, 9724, 886, 529, 506, 40166, 26309, 3894, 531, 506, 18241, 1694, 236761, 17438, 2509, 3265, 496, 14268, 6077, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 573, 506, 40166, 56101, 1076, 568, 2371, 1204, 236787, 603, 236771, 236828, 236778, 121517, 236825, 236863, 236800, 236935, 1473, 108, 1018, 11280, 53121, 609, 236778, 236819, 236761, 236819, 236819, 138, 107, 1018, 51164, 53121, 799, 13827, 568, 40090, 17793, 236768, 138, 107, 1018, 35089, 47240, 53121, 236743, 236812, 236761, 236810, 236786, 236810, 568, 236770, 236828, 236819, 10595, 236768, 138, 108, 1018, 3503, 25772, 53121, 138, 107, 236772, 94680, 44805, 236764, 46391, 236772, 18865, 34888, 45389, 607, 7116, 19171, 138, 107, 236772, 111660, 16625, 2256, 573, 9958, 40166, 14733, 138, 107, 236772, 49308, 68360, 26630, 532, 236743, 236810, 14770, 223806, 7365, 138, 107, 236772, 57725, 13418, 1624, 607, 6261, 32915, 138, 108, 1018, 38682, 2109, 24118, 53121, 138, 107, 236772, 34980, 10595, 30450, 506, 9650, 1702, 573, 40102, 607, 129918, 4916, 138, 107, 236772, 3656, 65991, 6950, 496, 9724, 40166, 8214, 14877, 236764, 840, 14268, 691, 3847, 6077, 138, 108, 1018, 40943, 699, 9352, 53121, 138, 107, 103550, 54133, 573, 19563, 159088, 236888, 3143, 45389, 1386, 34888, 40166, 33276, 1781, 236779, 138, 108, 38786, 611, 1133, 786, 531, 1385, 872, 1027, 3530, 25988, 3211, 573, 9960, 236881, 564, 740, 1601, 18840, 1032, 9447, 1204, 236751, 768, 611, 236789, 236753, 1133, 531, 11327, 24277, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 2765, 531, 10769, 625, 607, 1156, 1032, 3835, 564, 236789, 560, 6827, 1003, 236761, 5315, 236764, 993, 236789, 236751, 506, 623, 27426, 1250, 236789, 236751, 179285, 209054, 15806, 236775, 607, 9447, 1204, 603, 236771, 236828, 236797, 236810, 236874, 185763, 236800, 236792, 600, 1041, 4389, 6950, 236761, 9674, 236764, 564, 5004, 496, 623, 51551, 236772, 83899, 209054, 138757, 236775, 657, 496, 10946, 5888, 607, 9447, 1204, 603, 236771, 236819, 236855, 236825, 236953, 109450, 236778, 236794, 1271, 1451, 611, 2426, 1724, 236881, 564, 236789, 236757, 6412, 23210, 1003, 910, 3385, 3298, 236764, 13358, 236772, 1340, 236772, 1930, 4065, 573, 9862, 4916, 236764, 532, 3363, 901, 3204, 68360, 5417, 236761, 3792, 236789, 236751, 3213, 580, 3835, 1208, 609, 236800, 236810, 2338, 506, 9550, 3988, 815, 496, 30997, 7715, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 3250, 1083, 623, 27426, 1250, 236789, 236751, 179285, 209054, 15806, 827, 623, 9707, 1083, 6610, 236778, 236819, 236761, 236819, 236819, 827, 623, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236778, 236771, 236771, 1263, 623, 56905, 1083, 623, 902, 13827, 827, 623, 7777, 1083, 623, 236776, 2430, 236772, 18865, 34888, 5689, 5402, 573, 50415, 236764, 18482, 104048, 6436, 9273, 573, 9862, 4916, 236764, 2918, 236772, 2003, 236772, 9340, 68360, 8214, 236764, 532, 784, 5417, 4354, 531, 2619, 6079, 40166, 236761, 49308, 5646, 236772, 82894, 7116, 6237, 532, 29929, 16625, 7846, 573, 13358, 529, 1161, 10498, 623, 16518, 1083, 11058, 19574, 236759, 44805, 1702, 573, 46391, 236772, 18865, 12804, 827, 623, 174791, 2948, 532, 1816, 52379, 827, 623, 71653, 236772, 18865, 1208, 609, 236800, 236810, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 51551, 236772, 83899, 209054, 138757, 753, 94680, 44805, 55860, 36903, 15806, 573, 159088, 833, 129619, 236772, 83899, 6890, 827, 623, 9707, 1083, 236743, 236778, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 70686, 1083, 3714, 28128, 1083, 236743, 236812, 236761, 236825, 236764, 623, 2861, 1083, 236743, 236770, 236778, 236828, 1263, 623, 56905, 1083, 623, 902, 13827, 827, 623, 7777, 1083, 623, 62300, 524, 607, 40102, 528, 3666, 236764, 672, 34888, 86191, 4065, 4481, 236772, 20619, 236764, 7080, 236772, 236751, 17664, 7116, 6237, 532, 877, 236772, 151195, 518, 27040, 1365, 531, 6439, 1526, 9262, 236761, 15806, 5132, 12289, 236749, 236772, 111660, 16625, 86191, 568, 236770, 236778, 8455, 1123, 236743, 236828, 160830, 236785, 236749, 236772, 236743, 236800, 104048, 34888, 45389, 236785, 236749, 236772, 236743, 236810, 236771, 236772, 15631, 877, 236772, 151195, 14538, 40166, 20456, 236785, 236749, 236772, 14938, 236772, 2003, 236772, 9340, 2948, 2802, 833, 18640, 12040, 236785, 236749, 236772, 10645, 236772, 59722, 29690, 37304, 573, 2633, 11646, 827, 623, 16518, 1083, 3714, 68354, 236779, 1340, 236779, 1930, 1083, 11058, 181329, 24832, 236772, 18865, 6060, 1702, 827, 623, 3695, 236772, 132690, 524, 518, 27040, 1365, 827, 623, 13238, 236772, 32463, 40166, 26309, 14255, 623, 109982, 236779, 80234, 1083, 11058, 79853, 86191, 5528, 827, 623, 67619, 1261, 45389, 568, 236800, 11550, 22730, 623, 236874, 1673, 32013, 20456, 827, 623, 32106, 14787, 2948, 2802, 152254, 623, 89653, 236779, 3906, 1083, 623, 162517, 19743, 753, 1908, 236772, 72401, 37388, 236764, 20274, 14453, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 506, 1806, 9550, 236772, 18865, 40166, 34888, 3835, 1208, 609, 236800, 236810, 236787, 108, 236909, 37868, 157, 236909, 18909, 568, 236799, 236771, 236828, 236778, 121517, 236825, 236863, 236800, 236935, 236768, 145, 236909, 15806, 603, 236771, 236828, 236797, 236810, 236874, 185763, 236800, 236792, 151, 236909, 138757, 603, 236771, 236819, 236855, 236825, 236953, 109450, 236778, 236794, 568, 8534, 24067, 236768, 139, 236909, 107, 236909, 2819, 12857, 236909, 2819, 44042, 236909, 2819, 29118, 236909, 2819, 29118, 236909, 107, 236909, 5213, 11280, 1018, 154, 236909, 609, 236778, 236819, 236761, 236819, 236819, 160, 236909, 609, 236778, 236819, 236761, 236819, 236819, 159, 236909, 609, 236778, 236819, 236761, 236819, 236819, 159, 236909, 107, 236909, 5213, 12127, 1018, 153, 236909, 236743, 236812, 236761, 236810, 236786, 236770, 236828, 236819, 10595, 151, 236909, 236743, 236812, 236761, 236810, 236786, 236770, 236764, 236778, 236771, 236771, 10595, 148, 236909, 236743, 236812, 236761, 236825, 236786, 236770, 236778, 236828, 10595, 150, 236909, 107, 236909, 5213, 3503, 54198, 1018, 145, 236909, 236743, 236800, 45389, 236764, 236743, 236778, 26309, 236764, 13418, 1624, 236764, 26630, 1109, 94680, 44805, 45389, 236764, 29929, 16625, 236764, 52379, 1109, 138757, 5528, 236764, 236743, 236800, 45389, 236764, 877, 236772, 151195, 40166, 236764, 5177, 2948, 1109, 107, 236909, 5213, 51551, 236772, 83899, 7803, 1018, 1109, 129619, 82698, 236764, 7116, 19171, 1109, 94680, 44805, 6436, 150, 236909, 32417, 236772, 20619, 7116, 4688, 236764, 1908, 236772, 59722, 3225, 1109, 107, 236909, 5213, 74279, 514, 26810, 1018, 236909, 26630, 5012, 154, 236909, 11994, 236786, 1005, 26309, 148, 236909, 11994, 900, 18640, 12040, 139, 236909, 107, 236909, 5213, 35093, 88444, 1018, 143, 236909, 71808, 1624, 153, 236909, 7660, 20301, 5086, 145, 236909, 5213, 162517, 236772, 94636, 5646, 125546, 877, 236772, 132690, 524, 518, 27040, 1365, 1109, 108, 1018, 211199, 53121, 138, 107, 818, 5213, 51551, 236772, 83899, 209054, 138757, 568, 236799, 236771, 236819, 236855, 236825, 236953, 109450, 236778, 236794, 62902, 11979, 855, 573, 1061, 236787, 107, 236772, 138757, 1702, 600, 236789, 236751, 8722, 573, 50415, 1082, 6672, 34888, 19524, 107, 236772, 3946, 236772, 151195, 518, 27040, 1365, 6439, 1526, 9262, 107, 236772, 106237, 5646, 8443, 568, 162517, 19743, 236768, 107, 236772, 25179, 7426, 26309, 573, 2708, 236772, 13031, 5089, 108, 3243, 3835, 4691, 822, 7715, 236764, 840, 506, 86191, 10884, 1149, 2729, 506, 196233, 6165, 4735, 9023, 573, 40102, 236761, 21284, 611, 1133, 786, 531, 2426, 15830, 529, 1012, 37924, 653, 17040, 36498, 573, 1027, 529, 1239, 236881, 106, 107, 105, 2364, 107, 6481, 786, 2426, 506, 19563, 236772, 83899, 209054, 138757, 568, 236799, 236771, 236819, 236855, 236825, 236953, 109450, 236778, 236794, 236768, 1171, 2338, 625, 236789, 236751, 506, 1903, 25809, 236761, 564, 236789, 859, 1161, 506, 974, 236779, 30053, 236779, 5930, 236779, 13308, 5904, 531, 1385, 573, 1027, 1012, 37924, 653, 17040, 21212, 3835, 2487, 573, 672, 3530, 9447, 1204, 236761, 5213, 7741, 9861, 53121, 974, 236779, 30053, 236779, 5930, 236779, 13308, 236769, 2371, 1204, 718, 236799, 236771, 236819, 236855, 236825, 236953, 109450, 236778, 236794, 1373, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 3250, 1083, 623, 51551, 236772, 83899, 209054, 138757, 621, 236756, 236778, 236771, 236770, 236800, 21437, 236772, 1071, 236772, 10896, 44594, 209054, 50776, 573, 159088, 833, 137202, 827, 623, 9707, 1083, 6610, 236770, 236778, 236819, 236761, 236819, 236819, 827, 623, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236810, 236771, 1263, 623, 56905, 1083, 623, 902, 13827, 827, 623, 7777, 1083, 623, 19574, 236759, 44805, 34888, 86191, 5402, 573, 40102, 532, 50415, 236761, 25772, 29929, 16625, 2256, 236764, 7080, 236772, 13825, 518, 27040, 1365, 236764, 532, 496, 27472, 20743, 5528, 236761, 49308, 2918, 236772, 2003, 236772, 9340, 14787, 12040, 532, 32013, 34888, 5689, 10498, 623, 75633, 236779, 86211, 1083, 3714, 18700, 1083, 1847, 236764, 623, 70343, 236779, 14210, 1083, 623, 127080, 36498, 2487, 573, 25663, 529, 236743, 236800, 236862, 6630, 236761, 13948, 9593, 7449, 573, 2401, 12657, 1781, 1807, 106, 107, 105, 4368, 107, 1509, 5724, 1133, 993, 236789, 236751, 496, 5213, 9707, 59725, 1018, 1534, 506, 1156, 14273, 529, 506, 19563, 236772, 83899, 209054, 138757, 568, 236799, 236771, 236819, 236855, 236825, 236953, 109450, 236778, 236794, 1473, 138, 107, 236772, 5213, 43190, 20104, 53121, 609, 236778, 236819, 236761, 236819, 236819, 568, 4060, 877, 236772, 151195, 40166, 532, 86191, 5528, 236768, 138, 107, 236772, 5213, 8782, 20104, 53121, 609, 236770, 236778, 236819, 236761, 236819, 236819, 568, 4060, 623, 173226, 16625, 86191, 532, 20743, 5528, 1373, 138, 108, 2094, 12205, 993, 1149, 577, 5213, 13498, 9245, 1698, 15936, 1018, 1208, 506, 1638, 9447, 1204, 236764, 653, 496, 21212, 4610, 2338, 1023, 1171, 2426, 236761, 138, 108, 10354, 9533, 20303, 699, 506, 14040, 76592, 236787, 138, 107, 236772, 5213, 127080, 79913, 53121, 18326, 573, 236743, 236800, 236862, 6630, 568, 11607, 9593, 7449, 573, 12657, 236768, 138, 107, 236772, 5213, 27144, 53121, 111660, 16625, 236764, 20743, 5528, 236764, 14787, 12040, 236764, 532, 32013, 5689, 138, 108, 10354, 12067, 50228, 573, 5180, 29125, 6131, 236800, 236810, 8645, 1473, 138, 107, 236770, 236761, 5213, 81933, 506, 9447, 1204, 53121, 64063, 3363, 603, 236771, 236819, 236855, 236825, 236953, 109450, 236778, 236794, 1492, 1186, 15852, 506, 609, 236770, 236778, 236819, 236761, 236819, 236819, 3567, 568, 7650, 32839, 822, 7715, 769, 138, 107, 236778, 236761, 5213, 93993, 28636, 53121, 1637, 506, 609, 236778, 236819, 236761, 236819, 236819, 3567, 563, 951, 4890, 2487, 236764, 564, 740, 3927, 573, 1032, 9550, 236772, 18865, 34888, 34332, 1208, 609, 236800, 236810, 607, 17040, 21212, 236761, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236772, 7179, 573, 5213, 39460, 7449, 17040, 21212, 6366, 1018, 573, 672, 9447, 1204, 236881, 138, 107, 236772, 12808, 573, 5213, 83186, 34332, 1208, 609, 236800, 236810, 1018, 607, 1012, 236772, 2658, 15830, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 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, 9279, 506, 2558, 12223, 580, 1041, 32095, 1694, 573, 8174, 12441, 236881, 564, 236858, 560, 2506, 506, 6527, 532, 12223, 48001, 573, 1546, 4188, 1590, 236761, 1701, 2591, 236764, 506, 12480, 563, 609, 236770, 236810, 607, 496, 236743, 236778, 236771, 236908, 12223, 236764, 77472, 659, 609, 236770, 236771, 607, 236743, 236770, 236810, 10014, 532, 16062, 659, 609, 236828, 607, 236743, 236770, 236771, 9525, 564, 1461, 531, 1281, 1217, 1623, 564, 236858, 859, 5383, 6782, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 70343, 1083, 236743, 236810, 236761, 236800, 236764, 623, 6725, 236779, 17368, 236779, 9707, 1083, 236743, 236800, 236800, 236761, 236771, 236764, 623, 6725, 236779, 9900, 236779, 70343, 1083, 236743, 236778, 236832, 236761, 236832, 236783, 106, 107, 105, 4368, 107, 818, 2558, 12223, 580, 822, 32095, 1694, 573, 8174, 12441, 563, 5213, 236795, 236810, 236761, 236800, 236771, 125546, 837, 2820, 611, 236789, 859, 5383, 600, 2886, 236761, 5715, 236789, 236751, 506, 25890, 236787, 108, 236772, 5213, 98293, 66515, 609, 236770, 236810, 15666, 236743, 236778, 236771, 236908, 578, 609, 236800, 236761, 236771, 236771, 12223, 138, 107, 236772, 5213, 72646, 68303, 66515, 609, 236770, 236771, 15666, 236743, 236770, 236810, 236908, 578, 609, 236770, 236761, 236810, 236771, 12223, 138, 107, 236772, 5213, 108803, 2639, 66515, 609, 236828, 15666, 236743, 236770, 236771, 236908, 578, 609, 236771, 236761, 236828, 236771, 12223, 138, 108, 1018, 9640, 3303, 3385, 66515, 609, 236770, 236810, 900, 609, 236770, 236771, 900, 609, 236828, 578, 5213, 236795, 236800, 236800, 236761, 236771, 236771, 1018, 138, 107, 1018, 9640, 1308, 36498, 66515, 609, 236800, 236800, 236761, 236771, 236771, 753, 609, 236810, 236761, 236800, 236771, 578, 5213, 236795, 236778, 236832, 236761, 236832, 236771, 1018, 138, 108, 3048, 236858, 859, 2350, 5213, 236795, 236778, 236832, 236761, 236832, 236771, 1018, 5205, 529, 609, 236800, 236800, 236761, 236771, 236771, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 103453, 106, 107, 105, 2364, 107, 12879, 573, 506, 32095, 12223, 1601, 236888, 4224, 236764, 564, 236858, 560, 1010, 22967, 237028, 7843, 1440, 795, 1041, 5154, 10055, 1774, 768, 564, 1161, 28887, 17042, 1651, 13763, 657, 9630, 66229, 236881, 3792, 236858, 236751, 1879, 1041, 5154, 815, 496, 236743, 236800, 236764, 236810, 236771, 236771, 117203, 10055, 532, 28887, 6178, 1003, 236743, 236778, 236771, 236908, 810, 6468, 236761, 564, 1461, 531, 1281, 1217, 1551, 3885, 564, 740, 1774, 1680, 38702, 496, 43776, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 95620, 236779, 9524, 236779, 24392, 1083, 236743, 236770, 236800, 236810, 236770, 236761, 236800, 236810, 236783, 106, 107, 105, 4368, 107, 22515, 580, 506, 14988, 236764, 822, 5154, 236789, 236751, 10055, 795, 1774, 8296, 5213, 236770, 236764, 236800, 236810, 236770, 236761, 236800, 236810, 3885, 1018, 1056, 1699, 28887, 17042, 1208, 506, 2238, 3439, 236761, 5715, 236789, 236751, 506, 25890, 236787, 108, 236772, 5213, 94824, 61242, 66515, 236743, 236800, 236764, 236810, 236771, 236771, 117203, 138, 107, 236772, 5213, 18312, 98400, 568, 52213, 62902, 236787, 236743, 236778, 236761, 236810, 236819, 62214, 138, 108, 1018, 94824, 8586, 66515, 2578, 236770, 236764, 236800, 236810, 236770, 3885, 75720, 236810, 236825, 2668, 236768, 138, 108, 2094, 1354, 5072, 61022, 1494, 236764, 837, 2473, 10128, 496, 1202, 531, 3972, 236772, 4256, 506, 2066, 11749, 1550, 568, 495, 62214, 236768, 573, 28887, 14120, 236761, 1637, 28887, 83751, 236743, 236778, 236771, 236908, 529, 506, 10055, 810, 6468, 568, 527, 611, 6950, 779, 506, 5396, 33652, 1093, 577, 12532, 531, 5213, 236810, 3885, 1018, 568, 25142, 236743, 236770, 236771, 236771, 236908, 965, 236743, 236778, 236771, 236908, 810, 6468, 578, 236743, 236810, 3885, 769, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 506, 14988, 236888, 236743, 245215, 251563, 106, 107, 105, 2364, 107, 12879, 573, 106441, 506, 10055, 1972, 236888, 564, 236858, 236753, 17554, 531, 974, 72872, 2180, 28887, 1651, 13763, 236761, 1637, 564, 2490, 1135, 1041, 5154, 236858, 236751, 14484, 236772, 12383, 532, 3718, 506, 4322, 36346, 236764, 1217, 1623, 4890, 2473, 506, 10055, 1774, 236881, 3792, 236858, 236751, 9027, 1724, 3731, 6439, 6782, 2066, 11749, 684, 236743, 236800, 236771, 9525, 3199, 611, 110270, 606, 506, 33652, 607, 600, 22488, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 95620, 236779, 9524, 236779, 24392, 1083, 236743, 236778, 236832, 236810, 236828, 236761, 236778, 236825, 236783, 106, 107, 105, 4368, 107, 3497, 506, 20843, 2066, 11749, 568, 81883, 684, 236743, 236800, 236771, 28585, 822, 5154, 236858, 236751, 10055, 1972, 1651, 1699, 28887, 17042, 1093, 3553, 8792, 236761, 5715, 236858, 236751, 506, 10448, 25890, 236787, 108, 236772, 5213, 94824, 61242, 66515, 236743, 236800, 236764, 236810, 236771, 236771, 117203, 138, 107, 236772, 5213, 4199, 7338, 98400, 66515, 236743, 236770, 236761, 236828, 236770, 236800, 62214, 568, 236800, 236771, 236908, 9095, 699, 236743, 236778, 236761, 236810, 236819, 236824, 236768, 138, 107, 236772, 5213, 22304, 774, 46357, 8586, 66515, 5213, 236778, 236764, 236832, 236810, 236828, 236761, 236778, 236825, 3885, 1018, 75720, 236770, 236770, 236812, 2668, 236768, 138, 108, 10354, 9533, 12774, 50914, 236787, 107, 236770, 236761, 5213, 159416, 35949, 66515, 7178, 5213, 236778, 236764, 236832, 236810, 236771, 3885, 1018, 529, 28887, 1161, 236764, 837, 563, 1623, 4890, 1082, 506, 3303, 236743, 236770, 236764, 236800, 236810, 236770, 3885, 236761, 138, 107, 236778, 236761, 5213, 20235, 236772, 14447, 17605, 66515, 1637, 28887, 7057, 6178, 236743, 236778, 236771, 236908, 529, 822, 10055, 810, 6468, 568, 527, 611, 6950, 779, 672, 20843, 14988, 2473, 711, 8913, 607, 600, 236761, 1701, 2591, 236787, 138, 107, 139, 236772, 1637, 236743, 236778, 236771, 236908, 810, 6468, 578, 236743, 236778, 236771, 236908, 15666, 236743, 236800, 236764, 236810, 236771, 236771, 117203, 578, 236743, 236832, 236771, 236771, 117203, 236786, 13807, 236764, 822, 10055, 1093, 1774, 5213, 236810, 3885, 1018, 568, 236800, 236764, 236810, 236771, 236771, 108140, 236743, 236832, 236771, 236771, 769, 138, 107, 139, 236772, 113682, 6782, 2066, 11749, 684, 236743, 236800, 236771, 236908, 2473, 12975, 672, 531, 5213, 236995, 236832, 3885, 1018, 568, 236810, 15666, 236743, 236770, 236761, 236812, 779, 711, 11252, 529, 3885, 236761, 138, 108, 10354, 8922, 506, 3725, 906, 236758, 5710, 236881, 107, 818, 5904, 6178, 5213, 215746, 1018, 573, 15621, 236764, 840, 822, 236743, 236778, 236771, 236908, 810, 6468, 10967, 4547, 17230, 531, 5213, 95620, 10256, 125546, 711, 2066, 4988, 528, 62214, 236761, 1701, 10634, 236764, 9128, 822, 5154, 236858, 236751, 28887, 2066, 11749, 568, 495, 62214, 236768, 653, 1594, 1759, 236772, 12392, 14120, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 59638, 672, 3342, 236888, 236743, 252854, 245215, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1601, 786, 9279, 506, 2558, 12223, 580, 1041, 32095, 1694, 573, 8174, 12441, 236881, 564, 236858, 560, 2506, 506, 6527, 532, 12223, 48001, 573, 1546, 4188, 1590, 236761, 1701, 2591, 236764, 506, 12480, 563, 609, 236770, 236810, 607, 496, 236743, 236778, 236771, 236908, 12223, 236764, 77472, 659, 609, 236770, 236771, 607, 236743, 236770, 236810, 10014, 532, 16062, 659, 609, 236828, 607, 236743, 236770, 236771, 9525, 564, 1461, 531, 1281, 1217, 1623, 564, 236858, 859, 5383, 6782, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 70343, 1083, 236743, 236810, 236761, 236800, 236764, 623, 6725, 236779, 17368, 236779, 9707, 1083, 236743, 236800, 236800, 236761, 236771, 236764, 623, 6725, 236779, 9900, 236779, 70343, 1083, 236743, 236778, 236832, 236761, 236832, 236783, 106, 107, 105, 4368, 107, 818, 2558, 12223, 580, 822, 32095, 1694, 573, 8174, 12441, 563, 5213, 236795, 236810, 236761, 236800, 236771, 125546, 837, 2820, 611, 236789, 859, 5383, 600, 2886, 236761, 5715, 236789, 236751, 506, 25890, 236787, 108, 236772, 5213, 98293, 66515, 609, 236770, 236810, 15666, 236743, 236778, 236771, 236908, 578, 609, 236800, 236761, 236771, 236771, 12223, 138, 107, 236772, 5213, 72646, 68303, 66515, 609, 236770, 236771, 15666, 236743, 236770, 236810, 236908, 578, 609, 236770, 236761, 236810, 236771, 12223, 138, 107, 236772, 5213, 108803, 2639, 66515, 609, 236828, 15666, 236743, 236770, 236771, 236908, 578, 609, 236771, 236761, 236828, 236771, 12223, 138, 108, 1018, 9640, 3303, 3385, 66515, 609, 236770, 236810, 900, 609, 236770, 236771, 900, 609, 236828, 578, 5213, 236795, 236800, 236800, 236761, 236771, 236771, 1018, 138, 107, 1018, 9640, 1308, 36498, 66515, 609, 236800, 236800, 236761, 236771, 236771, 753, 609, 236810, 236761, 236800, 236771, 578, 5213, 236795, 236778, 236832, 236761, 236832, 236771, 1018, 138, 108, 3048, 236858, 859, 2350, 5213, 236795, 236778, 236832, 236761, 236832, 236771, 1018, 5205, 529, 609, 236800, 236800, 236761, 236771, 236771, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 103453, 106, 107, 105, 2364, 107, 12879, 573, 506, 32095, 12223, 1601, 236888, 4224, 236764, 564, 236858, 560, 1010, 22967, 237028, 7843, 1440, 795, 1041, 5154, 10055, 1774, 768, 564, 1161, 28887, 17042, 1651, 13763, 657, 9630, 66229, 236881, 3792, 236858, 236751, 1879, 1041, 5154, 815, 496, 236743, 236800, 236764, 236810, 236771, 236771, 117203, 10055, 532, 28887, 6178, 1003, 236743, 236778, 236771, 236908, 810, 6468, 236761, 564, 1461, 531, 1281, 1217, 1551, 3885, 564, 740, 1774, 1680, 38702, 496, 43776, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 95620, 236779, 9524, 236779, 24392, 1083, 236743, 236770, 236800, 236810, 236770, 236761, 236800, 236810, 236783, 106, 107, 105, 4368, 107, 22515, 580, 506, 14988, 236764, 822, 5154, 236789, 236751, 10055, 795, 1774, 8296, 5213, 236770, 236764, 236800, 236810, 236770, 236761, 236800, 236810, 3885, 1018, 1056, 1699, 28887, 17042, 1208, 506, 2238, 3439, 236761, 5715, 236789, 236751, 506, 25890, 236787, 108, 236772, 5213, 94824, 61242, 66515, 236743, 236800, 236764, 236810, 236771, 236771, 117203, 138, 107, 236772, 5213, 18312, 98400, 568, 52213, 62902, 236787, 236743, 236778, 236761, 236810, 236819, 62214, 138, 108, 1018, 94824, 8586, 66515, 2578, 236770, 236764, 236800, 236810, 236770, 3885, 75720, 236810, 236825, 2668, 236768, 138, 108, 2094, 1354, 5072, 61022, 1494, 236764, 837, 2473, 10128, 496, 1202, 531, 3972, 236772, 4256, 506, 2066, 11749, 1550, 568, 495, 62214, 236768, 573, 28887, 14120, 236761, 1637, 28887, 83751, 236743, 236778, 236771, 236908, 529, 506, 10055, 810, 6468, 568, 527, 611, 6950, 779, 506, 5396, 33652, 1093, 577, 12532, 531, 5213, 236810, 3885, 1018, 568, 25142, 236743, 236770, 236771, 236771, 236908, 965, 236743, 236778, 236771, 236908, 810, 6468, 578, 236743, 236810, 3885, 769, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 506, 14988, 236888, 236743, 245215, 251563, 106, 107, 105, 2364, 107, 12879, 573, 106441, 506, 10055, 1972, 236888, 564, 236858, 236753, 17554, 531, 974, 72872, 2180, 28887, 1651, 13763, 236761, 1637, 564, 2490, 1135, 1041, 5154, 236858, 236751, 14484, 236772, 12383, 532, 3718, 506, 4322, 36346, 236764, 1217, 1623, 4890, 2473, 506, 10055, 1774, 236881, 3792, 236858, 236751, 9027, 1724, 3731, 6439, 6782, 2066, 11749, 684, 236743, 236800, 236771, 9525, 3199, 611, 110270, 606, 506, 33652, 607, 600, 22488, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 95620, 236779, 9524, 236779, 24392, 1083, 236743, 236778, 236832, 236810, 236828, 236761, 236778, 236825, 236783, 106, 107, 105, 4368, 107, 3497, 506, 20843, 2066, 11749, 568, 81883, 684, 236743, 236800, 236771, 28585, 822, 5154, 236858, 236751, 10055, 1972, 1651, 1699, 28887, 17042, 1093, 3553, 8792, 236761, 5715, 236858, 236751, 506, 10448, 25890, 236787, 108, 236772, 5213, 94824, 61242, 66515, 236743, 236800, 236764, 236810, 236771, 236771, 117203, 138, 107, 236772, 5213, 4199, 7338, 98400, 66515, 236743, 236770, 236761, 236828, 236770, 236800, 62214, 568, 236800, 236771, 236908, 9095, 699, 236743, 236778, 236761, 236810, 236819, 236824, 236768, 138, 107, 236772, 5213, 22304, 774, 46357, 8586, 66515, 5213, 236778, 236764, 236832, 236810, 236828, 236761, 236778, 236825, 3885, 1018, 75720, 236770, 236770, 236812, 2668, 236768, 138, 108, 10354, 9533, 12774, 50914, 236787, 107, 236770, 236761, 5213, 159416, 35949, 66515, 7178, 5213, 236778, 236764, 236832, 236810, 236771, 3885, 1018, 529, 28887, 1161, 236764, 837, 563, 1623, 4890, 1082, 506, 3303, 236743, 236770, 236764, 236800, 236810, 236770, 3885, 236761, 138, 107, 236778, 236761, 5213, 20235, 236772, 14447, 17605, 66515, 1637, 28887, 7057, 6178, 236743, 236778, 236771, 236908, 529, 822, 10055, 810, 6468, 568, 527, 611, 6950, 779, 672, 20843, 14988, 2473, 711, 8913, 607, 600, 236761, 1701, 2591, 236787, 138, 107, 139, 236772, 1637, 236743, 236778, 236771, 236908, 810, 6468, 578, 236743, 236778, 236771, 236908, 15666, 236743, 236800, 236764, 236810, 236771, 236771, 117203, 578, 236743, 236832, 236771, 236771, 117203, 236786, 13807, 236764, 822, 10055, 1093, 1774, 5213, 236810, 3885, 1018, 568, 236800, 236764, 236810, 236771, 236771, 108140, 236743, 236832, 236771, 236771, 769, 138, 107, 139, 236772, 113682, 6782, 2066, 11749, 684, 236743, 236800, 236771, 236908, 2473, 12975, 672, 531, 5213, 236995, 236832, 3885, 1018, 568, 236810, 15666, 236743, 236770, 236761, 236812, 779, 711, 11252, 529, 3885, 236761, 138, 108, 10354, 8922, 506, 3725, 906, 236758, 5710, 236881, 107, 818, 5904, 6178, 5213, 215746, 1018, 573, 15621, 236764, 840, 822, 236743, 236778, 236771, 236908, 810, 6468, 10967, 4547, 17230, 531, 5213, 95620, 10256, 125546, 711, 2066, 4988, 528, 62214, 236761, 1701, 10634, 236764, 9128, 822, 5154, 236858, 236751, 28887, 2066, 11749, 568, 495, 62214, 236768, 653, 1594, 1759, 236772, 12392, 14120, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 59638, 672, 3342, 236888, 236743, 252854, 245215, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 102752, 506, 3402, 1550, 529, 614, 6828, 529, 609, 236770, 236771, 236764, 236771, 236771, 236771, 657, 614, 7384, 2142, 3136, 529, 236743, 236812, 236908, 1308, 236743, 236770, 236771, 1518, 236764, 532, 2264, 6828, 529, 609, 236810, 236764, 236771, 236771, 236771, 657, 236743, 236825, 236908, 2142, 1308, 236743, 236810, 1518, 236761, 106, 107, 105, 4368, 107, 818, 3847, 6436, 776, 711, 3204, 1027, 5151, 573, 31236, 3402, 1550, 653, 10615, 2142, 236761, 564, 3914, 2121, 4867, 15621, 607, 506, 2487, 6436, 236761, 21284, 611, 1133, 786, 531, 2847, 506, 6581, 573, 3402, 1550, 653, 6361, 607, 2264, 1722, 529, 14988, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 102752, 506, 3402, 1550, 529, 614, 6828, 529, 609, 236770, 236771, 236764, 236771, 236771, 236771, 657, 614, 7384, 2142, 3136, 529, 236743, 236812, 236908, 1308, 236743, 236770, 236771, 1518, 236764, 532, 2264, 6828, 529, 609, 236810, 236764, 236771, 236771, 236771, 657, 236743, 236825, 236908, 2142, 1308, 236743, 236810, 1518, 236761, 106, 107, 105, 4368, 107, 818, 3847, 6436, 776, 711, 3204, 1027, 5151, 573, 31236, 3402, 1550, 653, 10615, 2142, 236761, 564, 3914, 2121, 4867, 15621, 607, 506, 2487, 6436, 236761, 21284, 611, 1133, 786, 531, 2847, 506, 6581, 573, 3402, 1550, 653, 6361, 607, 2264, 1722, 529, 14988, 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, 236777, 1202, 1601, 32187, 10365, 15154, 573, 506, 44283, 47485, 7607, 13510, 9226, 4749, 3104, 236761, 5315, 236764, 1161, 34315, 236779, 16043, 531, 33205, 910, 6524, 12714, 532, 8511, 236761, 1637, 993, 659, 8511, 528, 506, 4387, 236764, 8430, 1546, 3925, 236789, 236751, 10739, 532, 1161, 3925, 236779, 2543, 236779, 2451, 580, 1091, 531, 974, 9813, 26545, 236761, 1637, 506, 34315, 236779, 16043, 2246, 20269, 236764, 2056, 1699, 506, 68324, 997, 177932, 236794, 4316, 19033, 5205, 236761, 22282, 77372, 8511, 607, 1024, 236743, 236770, 236771, 236771, 15975, 573, 19276, 3671, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 28150, 653, 30981, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 45972, 1083, 78493, 2084, 1083, 623, 24251, 827, 623, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 86563, 236786, 85972, 236750, 4316, 236786, 236832, 236828, 236819, 827, 623, 56652, 1083, 236743, 236770, 236778, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 2084, 1083, 623, 3274, 827, 623, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 54283, 236832, 236828, 236819, 827, 623, 56652, 1083, 236743, 236778, 236812, 236810, 236764, 623, 26329, 1083, 236743, 236800, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 2084, 1083, 623, 24251, 827, 623, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 86563, 236786, 85972, 236750, 4316, 236786, 236770, 236771, 236770, 827, 623, 56652, 1083, 236743, 236819, 236800, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236825, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 5594, 236779, 5576, 1083, 2416, 236764, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24251, 236779, 547, 1083, 623, 12971, 236832, 236828, 236819, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 236751, 3955, 236761, 21122, 29872, 236761, 854, 236786, 86563, 236786, 85972, 236750, 4316, 236786, 236832, 236828, 236819, 236761, 2720, 236812, 827, 623, 56652, 1083, 236743, 236770, 236778, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 827, 623, 75884, 1083, 3714, 13084, 1083, 236743, 236828, 236819, 236778, 236764, 623, 158076, 1083, 236743, 236770, 236828, 236764, 623, 95605, 236779, 4720, 1083, 623, 236828, 236778, 171446, 623, 3955, 236779, 19112, 1083, 11058, 5106, 236779, 125845, 827, 623, 50771, 236779, 134350, 14255, 623, 126452, 236779, 495, 1083, 623, 236770, 236825, 236754, 25938, 106, 107, 105, 4368, 107, 1018, 42809, 63010, 13768, 573, 44283, 47485, 32462, 31698, 1018, 138, 108, 10354, 89254, 70731, 568, 54365, 236743, 236800, 40276, 236768, 138, 107, 236770, 236761, 5213, 8534, 77790, 16976, 1018, 138, 107, 139, 236772, 5213, 6738, 66515, 870, 32214, 236743, 236832, 236828, 236819, 5457, 2574, 1411, 29872, 236761, 854, 236786, 86563, 236786, 85972, 236750, 4316, 236786, 236832, 236828, 236819, 236768, 138, 107, 139, 236772, 5213, 140347, 66515, 236743, 236770, 236778, 236832, 568, 240721, 137276, 1890, 236770, 236771, 236771, 14272, 236768, 138, 107, 139, 236772, 5213, 88634, 66515, 138, 107, 141, 236772, 65615, 236787, 236743, 236828, 236819, 236778, 138, 107, 141, 236772, 85214, 236787, 236743, 236770, 236828, 138, 107, 141, 236772, 94986, 25870, 236787, 236743, 236828, 236778, 236908, 138, 107, 139, 236772, 5213, 4795, 64663, 66515, 2165, 5106, 236779, 125845, 8347, 2165, 50771, 236779, 134350, 236929, 138, 107, 139, 236772, 5213, 14357, 9250, 66515, 11994, 568, 199702, 528, 236743, 236770, 236825, 236754, 236768, 138, 108, 236778, 236761, 5213, 7118, 63010, 1018, 138, 107, 139, 236772, 5213, 6738, 66515, 870, 7118, 152296, 236832, 236828, 236819, 5457, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 54283, 236832, 236828, 236819, 236768, 138, 107, 139, 236772, 5213, 140347, 66515, 236743, 236778, 236812, 236810, 138, 107, 139, 236772, 5213, 24967, 66515, 236743, 236800, 236778, 138, 108, 236800, 236761, 5213, 13517, 16976, 1018, 138, 107, 139, 236772, 5213, 6738, 66515, 870, 32214, 236743, 236770, 236771, 236770, 5457, 2574, 1411, 29872, 236761, 854, 236786, 86563, 236786, 85972, 236750, 4316, 236786, 236770, 236771, 236770, 236768, 138, 107, 139, 236772, 5213, 140347, 66515, 236743, 236819, 236800, 568, 244844, 30791, 236743, 236770, 236771, 236771, 14272, 236768, 138, 108, 10354, 12067, 50228, 138, 107, 236772, 30235, 19276, 3671, 580, 5213, 32214, 236743, 236832, 236828, 236819, 1018, 568, 11480, 15154, 769, 138, 107, 236772, 11701, 10739, 2487, 573, 6463, 236787, 870, 6759, 5457, 2574, 1411, 236751, 3955, 236761, 21122, 29872, 236761, 854, 236786, 86563, 236786, 85972, 236750, 4316, 236786, 236832, 236828, 236819, 236761, 2720, 236812, 769, 138, 107, 236772, 21284, 611, 1133, 531, 18840, 506, 1868, 8968, 653, 11327, 68324, 26545, 573, 997, 177932, 236794, 4316, 19033, 236881, 138, 108, 6481, 786, 1281, 768, 30981, 653, 4767, 1262, 659, 4354, 236888, 236743, 242507, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 10365, 15154, 573, 506, 44283, 47485, 7607, 13510, 9226, 4749, 3104, 236761, 5315, 236764, 1161, 34315, 236779, 16043, 531, 33205, 910, 6524, 12714, 532, 8511, 236761, 1637, 993, 659, 8511, 528, 506, 4387, 236764, 8430, 1546, 3925, 236789, 236751, 10739, 532, 1161, 3925, 236779, 2543, 236779, 2451, 580, 1091, 531, 974, 9813, 26545, 236761, 1637, 506, 34315, 236779, 16043, 2246, 20269, 236764, 2056, 1699, 506, 68324, 997, 177932, 236794, 4316, 19033, 5205, 236761, 22282, 77372, 8511, 607, 1024, 236743, 236770, 236771, 236771, 15975, 573, 19276, 3671, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 28150, 653, 30981, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 45972, 1083, 78493, 2084, 1083, 623, 24251, 827, 623, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 86563, 236786, 85972, 236750, 4316, 236786, 236832, 236828, 236819, 827, 623, 56652, 1083, 236743, 236770, 236778, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236771, 236771, 236953, 23179, 3714, 2084, 1083, 623, 3274, 827, 623, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 54283, 236832, 236828, 236819, 827, 623, 56652, 1083, 236743, 236778, 236812, 236810, 236764, 623, 26329, 1083, 236743, 236800, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 2084, 1083, 623, 24251, 827, 623, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 86563, 236786, 85972, 236750, 4316, 236786, 236770, 236771, 236770, 827, 623, 56652, 1083, 236743, 236819, 236800, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236825, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 5594, 236779, 5576, 1083, 2416, 236764, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24251, 236779, 547, 1083, 623, 12971, 236832, 236828, 236819, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 236751, 3955, 236761, 21122, 29872, 236761, 854, 236786, 86563, 236786, 85972, 236750, 4316, 236786, 236832, 236828, 236819, 236761, 2720, 236812, 827, 623, 56652, 1083, 236743, 236770, 236778, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 827, 623, 75884, 1083, 3714, 13084, 1083, 236743, 236828, 236819, 236778, 236764, 623, 158076, 1083, 236743, 236770, 236828, 236764, 623, 95605, 236779, 4720, 1083, 623, 236828, 236778, 171446, 623, 3955, 236779, 19112, 1083, 11058, 5106, 236779, 125845, 827, 623, 50771, 236779, 134350, 14255, 623, 126452, 236779, 495, 1083, 623, 236770, 236825, 236754, 25938, 106, 107, 105, 4368, 107, 1018, 42809, 63010, 13768, 573, 44283, 47485, 32462, 31698, 1018, 138, 108, 10354, 89254, 70731, 568, 54365, 236743, 236800, 40276, 236768, 138, 107, 236770, 236761, 5213, 8534, 77790, 16976, 1018, 138, 107, 139, 236772, 5213, 6738, 66515, 870, 32214, 236743, 236832, 236828, 236819, 5457, 2574, 1411, 29872, 236761, 854, 236786, 86563, 236786, 85972, 236750, 4316, 236786, 236832, 236828, 236819, 236768, 138, 107, 139, 236772, 5213, 140347, 66515, 236743, 236770, 236778, 236832, 568, 240721, 137276, 1890, 236770, 236771, 236771, 14272, 236768, 138, 107, 139, 236772, 5213, 88634, 66515, 138, 107, 141, 236772, 65615, 236787, 236743, 236828, 236819, 236778, 138, 107, 141, 236772, 85214, 236787, 236743, 236770, 236828, 138, 107, 141, 236772, 94986, 25870, 236787, 236743, 236828, 236778, 236908, 138, 107, 139, 236772, 5213, 4795, 64663, 66515, 2165, 5106, 236779, 125845, 8347, 2165, 50771, 236779, 134350, 236929, 138, 107, 139, 236772, 5213, 14357, 9250, 66515, 11994, 568, 199702, 528, 236743, 236770, 236825, 236754, 236768, 138, 108, 236778, 236761, 5213, 7118, 63010, 1018, 138, 107, 139, 236772, 5213, 6738, 66515, 870, 7118, 152296, 236832, 236828, 236819, 5457, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 54283, 236832, 236828, 236819, 236768, 138, 107, 139, 236772, 5213, 140347, 66515, 236743, 236778, 236812, 236810, 138, 107, 139, 236772, 5213, 24967, 66515, 236743, 236800, 236778, 138, 108, 236800, 236761, 5213, 13517, 16976, 1018, 138, 107, 139, 236772, 5213, 6738, 66515, 870, 32214, 236743, 236770, 236771, 236770, 5457, 2574, 1411, 29872, 236761, 854, 236786, 86563, 236786, 85972, 236750, 4316, 236786, 236770, 236771, 236770, 236768, 138, 107, 139, 236772, 5213, 140347, 66515, 236743, 236819, 236800, 568, 244844, 30791, 236743, 236770, 236771, 236771, 14272, 236768, 138, 108, 10354, 12067, 50228, 138, 107, 236772, 30235, 19276, 3671, 580, 5213, 32214, 236743, 236832, 236828, 236819, 1018, 568, 11480, 15154, 769, 138, 107, 236772, 11701, 10739, 2487, 573, 6463, 236787, 870, 6759, 5457, 2574, 1411, 236751, 3955, 236761, 21122, 29872, 236761, 854, 236786, 86563, 236786, 85972, 236750, 4316, 236786, 236832, 236828, 236819, 236761, 2720, 236812, 769, 138, 107, 236772, 21284, 611, 1133, 531, 18840, 506, 1868, 8968, 653, 11327, 68324, 26545, 573, 997, 177932, 236794, 4316, 19033, 236881, 138, 108, 6481, 786, 1281, 768, 30981, 653, 4767, 1262, 659, 4354, 236888, 236743, 242507, 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, 3182, 531, 3717, 496, 2033, 528, 10373, 26348, 236764, 23639, 236761, 564, 236789, 236757, 6995, 531, 2247, 236743, 236770, 236771, 236908, 1679, 580, 496, 609, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 2033, 607, 496, 236743, 236800, 236771, 236772, 3704, 6530, 10670, 236761, 3551, 6327, 6317, 563, 236743, 236832, 236778, 236771, 236761, 3199, 611, 2426, 506, 1873, 21184, 2142, 6224, 573, 600, 236881, 106, 107, 105, 4368, 107, 2021, 2426, 506, 21184, 2142, 6224, 573, 822, 2033, 7408, 528, 10373, 26348, 236764, 23639, 236764, 564, 236789, 859, 1202, 506, 5213, 7125, 547, 1018, 532, 5213, 7125, 2084, 1018, 6137, 236761, 3143, 659, 3530, 104026, 3149, 573, 4563, 236772, 5140, 3136, 15621, 532, 659, 11082, 4597, 699, 496, 4563, 6282, 236772, 17302, 2509, 568, 236744, 236761, 236759, 1126, 623, 30392, 26348, 236764, 23639, 236775, 1093, 994, 496, 40155, 2165, 7125, 547, 236929, 1133, 2165, 236800, 236771, 236832, 236812, 236819, 236929, 532, 496, 2165, 7125, 2084, 236929, 1133, 2165, 13319, 59395, 236743, 108, 10081, 1239, 4889, 19310, 236789, 236745, 3847, 528, 822, 7609, 236764, 564, 3914, 4133, 506, 3136, 2426, 236761, 28344, 611, 5091, 9128, 236787, 107, 236770, 236761, 669, 4453, 5213, 7125, 5853, 1018, 568, 20404, 1550, 236768, 573, 10373, 26348, 236764, 23639, 236764, 653, 107, 236778, 236761, 39525, 614, 3421, 568, 236744, 236761, 236759, 1126, 623, 236770, 236778, 236800, 6400, 842, 236764, 10373, 26348, 236764, 23639, 1373, 834, 564, 740, 1385, 872, 506, 3149, 104026, 236881, 108, 33142, 672, 1938, 236764, 564, 3914, 7162, 607, 506, 21184, 3136, 3671, 236761, 106, 107, 105, 2364, 107, 236770, 236771, 236771, 6400, 6718, 236764, 10373, 26348, 236764, 23639, 106, 107, 105, 4368, 107, 2021, 7162, 607, 822, 21184, 3136, 2426, 236764, 564, 2036, 1202, 506, 5213, 7125, 547, 1018, 532, 5213, 7125, 2084, 1018, 2979, 3530, 531, 623, 236770, 236771, 236771, 6400, 6718, 236764, 10373, 26348, 236764, 23639, 1781, 3143, 659, 3149, 40155, 104026, 4597, 699, 4855, 6888, 236789, 236751, 4563, 6282, 236772, 17302, 1458, 568, 236744, 236761, 236759, 1126, 2165, 7125, 547, 236787, 236743, 236800, 236771, 236832, 236812, 236819, 8347, 2165, 7125, 2084, 236787, 236743, 236770, 59395, 236743, 108, 10081, 564, 1537, 236858, 236745, 735, 2802, 531, 496, 5904, 600, 47874, 19246, 531, 1239, 104026, 236764, 1451, 611, 5091, 2847, 236787, 107, 236770, 236761, 669, 5213, 7125, 547, 1018, 568, 236744, 236761, 236759, 1126, 2165, 236800, 236771, 236832, 236812, 236819, 59740, 653, 138, 107, 236778, 236761, 64063, 768, 611, 735, 1239, 2979, 699, 2264, 3738, 568, 236744, 236761, 236759, 1126, 4855, 6888, 236858, 236751, 4563, 3927, 2536, 20625, 108, 33142, 1239, 236764, 564, 3914, 33205, 506, 4563, 236772, 15396, 21184, 6224, 236761, 3792, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 236800, 236771, 236832, 236812, 236819, 236764, 236743, 236770, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 62327, 236779, 42103, 1083, 78493, 6061, 1083, 623, 236800, 236771, 6575, 827, 623, 4720, 1083, 236743, 236812, 236761, 236778, 236810, 236764, 623, 670, 1916, 1083, 236743, 236812, 236761, 236800, 236810, 1263, 3714, 6061, 1083, 623, 236770, 236810, 6575, 827, 623, 4720, 1083, 236743, 236800, 236761, 236810, 236764, 623, 670, 1916, 1083, 236743, 236800, 236761, 236825, 1263, 3714, 6061, 1083, 623, 236778, 236771, 6575, 827, 623, 4720, 1083, 236743, 236800, 236761, 236832, 236810, 236764, 623, 670, 1916, 1083, 236743, 236800, 236761, 236828, 236810, 104960, 623, 3843, 236779, 24471, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236764, 623, 62327, 236779, 13304, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236764, 623, 7125, 236779, 547, 1083, 236743, 236800, 236771, 236832, 236812, 236819, 236764, 623, 8147, 236779, 2394, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 22515, 580, 822, 4889, 573, 496, 5213, 236795, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 2033, 7408, 528, 10373, 26348, 236764, 23639, 1018, 607, 496, 5213, 236770, 236771, 236908, 1679, 7548, 6131, 236778, 236771, 236764, 236771, 236771, 236771, 62902, 236764, 5213, 236800, 236771, 236772, 3704, 6530, 10670, 125546, 532, 5213, 31443, 6317, 529, 236743, 236832, 236778, 236771, 125546, 1590, 659, 506, 1873, 21184, 3136, 3835, 236787, 108, 7243, 108, 10354, 236743, 246755, 5213, 236800, 236771, 236772, 16431, 41317, 25870, 1018, 107, 236772, 5213, 34430, 25870, 66515, 5213, 236812, 236761, 236778, 236810, 236908, 1018, 138, 107, 236772, 5213, 128629, 568, 68051, 70231, 25870, 62902, 236787, 236743, 236812, 236761, 236800, 236810, 236908, 138, 107, 236772, 5213, 51654, 27409, 66515, 609, 236770, 236828, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 122598, 50292, 35032, 568, 48000, 900, 21632, 62902, 236787, 202721, 236828, 236828, 236810, 138, 108, 7243, 108, 10354, 236743, 246533, 25275, 28636, 568, 1708, 9960, 1473, 107, 236909, 12348, 140, 236909, 21632, 25870, 1109, 71639, 139, 236909, 107, 236909, 40686, 236909, 44042, 236909, 40328, 236909, 107, 236909, 236743, 236770, 236810, 236772, 16431, 1109, 236743, 236800, 236761, 236810, 236771, 236908, 145, 236909, 236743, 236800, 236761, 236825, 236771, 236908, 1109, 107, 236909, 236743, 236778, 236771, 236772, 16431, 1109, 236743, 236800, 236761, 236832, 236810, 236908, 145, 236909, 236743, 236800, 236761, 236828, 236810, 236908, 1109, 108, 7243, 108, 10354, 236743, 244549, 24118, 236787, 107, 236772, 669, 5213, 128629, 568, 236812, 236761, 236800, 236810, 11376, 1018, 10789, 573, 12412, 532, 5384, 6998, 506, 2142, 3136, 236764, 6295, 496, 919, 11459, 6083, 529, 2558, 10670, 2157, 236761, 107, 236772, 3143, 6224, 659, 3530, 531, 5213, 30392, 26348, 236764, 23639, 568, 7125, 5853, 236787, 236743, 236800, 236771, 236832, 236812, 236819, 62902, 532, 7495, 4077, 3755, 573, 496, 5213, 73769, 12562, 1018, 607, 5213, 13321, 12223, 3298, 84750, 108, 38786, 611, 1133, 1601, 22020, 1239, 3835, 3342, 236764, 653, 22260, 173280, 25521, 236881, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 3182, 531, 3717, 496, 2033, 528, 10373, 26348, 236764, 23639, 236761, 564, 236789, 236757, 6995, 531, 2247, 236743, 236770, 236771, 236908, 1679, 580, 496, 609, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 2033, 607, 496, 236743, 236800, 236771, 236772, 3704, 6530, 10670, 236761, 3551, 6327, 6317, 563, 236743, 236832, 236778, 236771, 236761, 3199, 611, 2426, 506, 1873, 21184, 2142, 6224, 573, 600, 236881, 106, 107, 105, 4368, 107, 2021, 2426, 506, 21184, 2142, 6224, 573, 822, 2033, 7408, 528, 10373, 26348, 236764, 23639, 236764, 564, 236789, 859, 1202, 506, 5213, 7125, 547, 1018, 532, 5213, 7125, 2084, 1018, 6137, 236761, 3143, 659, 3530, 104026, 3149, 573, 4563, 236772, 5140, 3136, 15621, 532, 659, 11082, 4597, 699, 496, 4563, 6282, 236772, 17302, 2509, 568, 236744, 236761, 236759, 1126, 623, 30392, 26348, 236764, 23639, 236775, 1093, 994, 496, 40155, 2165, 7125, 547, 236929, 1133, 2165, 236800, 236771, 236832, 236812, 236819, 236929, 532, 496, 2165, 7125, 2084, 236929, 1133, 2165, 13319, 59395, 236743, 108, 10081, 1239, 4889, 19310, 236789, 236745, 3847, 528, 822, 7609, 236764, 564, 3914, 4133, 506, 3136, 2426, 236761, 28344, 611, 5091, 9128, 236787, 107, 236770, 236761, 669, 4453, 5213, 7125, 5853, 1018, 568, 20404, 1550, 236768, 573, 10373, 26348, 236764, 23639, 236764, 653, 107, 236778, 236761, 39525, 614, 3421, 568, 236744, 236761, 236759, 1126, 623, 236770, 236778, 236800, 6400, 842, 236764, 10373, 26348, 236764, 23639, 1373, 834, 564, 740, 1385, 872, 506, 3149, 104026, 236881, 108, 33142, 672, 1938, 236764, 564, 3914, 7162, 607, 506, 21184, 3136, 3671, 236761, 106, 107, 105, 2364, 107, 236770, 236771, 236771, 6400, 6718, 236764, 10373, 26348, 236764, 23639, 106, 107, 105, 4368, 107, 2021, 7162, 607, 822, 21184, 3136, 2426, 236764, 564, 2036, 1202, 506, 5213, 7125, 547, 1018, 532, 5213, 7125, 2084, 1018, 2979, 3530, 531, 623, 236770, 236771, 236771, 6400, 6718, 236764, 10373, 26348, 236764, 23639, 1781, 3143, 659, 3149, 40155, 104026, 4597, 699, 4855, 6888, 236789, 236751, 4563, 6282, 236772, 17302, 1458, 568, 236744, 236761, 236759, 1126, 2165, 7125, 547, 236787, 236743, 236800, 236771, 236832, 236812, 236819, 8347, 2165, 7125, 2084, 236787, 236743, 236770, 59395, 236743, 108, 10081, 564, 1537, 236858, 236745, 735, 2802, 531, 496, 5904, 600, 47874, 19246, 531, 1239, 104026, 236764, 1451, 611, 5091, 2847, 236787, 107, 236770, 236761, 669, 5213, 7125, 547, 1018, 568, 236744, 236761, 236759, 1126, 2165, 236800, 236771, 236832, 236812, 236819, 59740, 653, 138, 107, 236778, 236761, 64063, 768, 611, 735, 1239, 2979, 699, 2264, 3738, 568, 236744, 236761, 236759, 1126, 4855, 6888, 236858, 236751, 4563, 3927, 2536, 20625, 108, 33142, 1239, 236764, 564, 3914, 33205, 506, 4563, 236772, 15396, 21184, 6224, 236761, 3792, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 236800, 236771, 236832, 236812, 236819, 236764, 236743, 236770, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 62327, 236779, 42103, 1083, 78493, 6061, 1083, 623, 236800, 236771, 6575, 827, 623, 4720, 1083, 236743, 236812, 236761, 236778, 236810, 236764, 623, 670, 1916, 1083, 236743, 236812, 236761, 236800, 236810, 1263, 3714, 6061, 1083, 623, 236770, 236810, 6575, 827, 623, 4720, 1083, 236743, 236800, 236761, 236810, 236764, 623, 670, 1916, 1083, 236743, 236800, 236761, 236825, 1263, 3714, 6061, 1083, 623, 236778, 236771, 6575, 827, 623, 4720, 1083, 236743, 236800, 236761, 236832, 236810, 236764, 623, 670, 1916, 1083, 236743, 236800, 236761, 236828, 236810, 104960, 623, 3843, 236779, 24471, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236764, 623, 62327, 236779, 13304, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236764, 623, 7125, 236779, 547, 1083, 236743, 236800, 236771, 236832, 236812, 236819, 236764, 623, 8147, 236779, 2394, 1083, 236743, 236778, 236771, 236771, 236771, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 22515, 580, 822, 4889, 573, 496, 5213, 236795, 236778, 236771, 236771, 236764, 236771, 236771, 236771, 2033, 7408, 528, 10373, 26348, 236764, 23639, 1018, 607, 496, 5213, 236770, 236771, 236908, 1679, 7548, 6131, 236778, 236771, 236764, 236771, 236771, 236771, 62902, 236764, 5213, 236800, 236771, 236772, 3704, 6530, 10670, 125546, 532, 5213, 31443, 6317, 529, 236743, 236832, 236778, 236771, 125546, 1590, 659, 506, 1873, 21184, 3136, 3835, 236787, 108, 7243, 108, 10354, 236743, 246755, 5213, 236800, 236771, 236772, 16431, 41317, 25870, 1018, 107, 236772, 5213, 34430, 25870, 66515, 5213, 236812, 236761, 236778, 236810, 236908, 1018, 138, 107, 236772, 5213, 128629, 568, 68051, 70231, 25870, 62902, 236787, 236743, 236812, 236761, 236800, 236810, 236908, 138, 107, 236772, 5213, 51654, 27409, 66515, 609, 236770, 236828, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 5213, 122598, 50292, 35032, 568, 48000, 900, 21632, 62902, 236787, 202721, 236828, 236828, 236810, 138, 108, 7243, 108, 10354, 236743, 246533, 25275, 28636, 568, 1708, 9960, 1473, 107, 236909, 12348, 140, 236909, 21632, 25870, 1109, 71639, 139, 236909, 107, 236909, 40686, 236909, 44042, 236909, 40328, 236909, 107, 236909, 236743, 236770, 236810, 236772, 16431, 1109, 236743, 236800, 236761, 236810, 236771, 236908, 145, 236909, 236743, 236800, 236761, 236825, 236771, 236908, 1109, 107, 236909, 236743, 236778, 236771, 236772, 16431, 1109, 236743, 236800, 236761, 236832, 236810, 236908, 145, 236909, 236743, 236800, 236761, 236828, 236810, 236908, 1109, 108, 7243, 108, 10354, 236743, 244549, 24118, 236787, 107, 236772, 669, 5213, 128629, 568, 236812, 236761, 236800, 236810, 11376, 1018, 10789, 573, 12412, 532, 5384, 6998, 506, 2142, 3136, 236764, 6295, 496, 919, 11459, 6083, 529, 2558, 10670, 2157, 236761, 107, 236772, 3143, 6224, 659, 3530, 531, 5213, 30392, 26348, 236764, 23639, 568, 7125, 5853, 236787, 236743, 236800, 236771, 236832, 236812, 236819, 62902, 532, 7495, 4077, 3755, 573, 496, 5213, 73769, 12562, 1018, 607, 5213, 13321, 12223, 3298, 84750, 108, 38786, 611, 1133, 1601, 22020, 1239, 3835, 3342, 236764, 653, 22260, 173280, 25521, 236881, 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, 496, 1702, 2203, 13696, 684, 31894, 236789, 236751, 7363, 1610, 236764, 532, 564, 1202, 531, 32545, 2263, 18434, 528, 1041, 15771, 236761, 28344, 611, 1601, 786, 1586, 496, 46898, 130398, 15028, 600, 48110, 10687, 8036, 90927, 236881, 564, 1461, 531, 10807, 506, 13415, 607, 69552, 1063, 89617, 573, 1041, 15017, 1702, 981, 236761, 3792, 786, 1281, 768, 611, 740, 8091, 600, 3075, 1699, 822, 6436, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 1083, 3714, 1201, 1083, 623, 21221, 8036, 20273, 524, 138067, 86742, 190503, 827, 623, 77095, 1083, 11058, 236770, 2228, 529, 106377, 236764, 3463, 1131, 28721, 236772, 21928, 55805, 1412, 827, 623, 236778, 107072, 26012, 4446, 827, 623, 236770, 107072, 10687, 8036, 90927, 827, 623, 236770, 236786, 236778, 72881, 29508, 13950, 827, 623, 236770, 236786, 236812, 72881, 59010, 129882, 827, 623, 69654, 532, 22300, 531, 11613, 827, 623, 130547, 12955, 2818, 143996, 568, 31162, 236768, 14255, 623, 96654, 1083, 11058, 3695, 31071, 19768, 531, 236743, 236812, 236778, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236778, 236778, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 236768, 532, 1757, 496, 25671, 10988, 607, 104237, 3627, 10498, 623, 902, 496, 13392, 236764, 30366, 106377, 55805, 1412, 607, 26012, 4446, 532, 784, 6299, 35226, 3097, 41923, 35911, 10498, 623, 97813, 55805, 1412, 528, 496, 3161, 6352, 580, 506, 25671, 10988, 532, 59681, 573, 236743, 236778, 236771, 236772, 236778, 236810, 4310, 236764, 82232, 49817, 1343, 10498, 623, 75858, 3425, 607, 21905, 12955, 2818, 143996, 532, 5756, 71265, 573, 496, 28239, 2258, 9530, 4011, 573, 15491, 10498, 623, 2542, 1702, 11048, 236787, 58108, 607, 56896, 3730, 16683, 532, 8363, 2342, 41686, 17572, 11595, 531, 8357, 506, 43615, 236789, 236751, 26726, 23060, 62192, 623, 3677, 236779, 6265, 1083, 623, 64020, 91075, 9299, 566, 236778, 236761, 236770, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 46898, 130398, 15028, 18482, 10687, 8036, 90927, 236764, 4011, 573, 822, 31894, 236772, 52728, 1702, 2203, 236787, 108, 1018, 21221, 8036, 20273, 524, 138067, 86742, 190503, 1018, 138, 107, 236829, 64690, 63508, 138, 107, 236772, 138067, 86742, 55805, 1412, 138, 107, 236772, 43591, 4446, 138, 107, 236772, 10687, 8036, 90927, 138, 107, 236772, 127422, 13950, 138, 107, 236772, 4504, 15320, 129882, 138, 107, 236772, 28501, 236786, 144793, 138, 107, 236772, 26272, 21905, 12955, 2818, 143996, 138, 108, 236829, 81851, 63508, 138, 107, 236770, 236761, 187986, 56677, 106377, 657, 236743, 236812, 236778, 236810, 237366, 236811, 568, 236778, 236778, 236771, 237366, 236780, 236768, 573, 236743, 236778, 236771, 236772, 236778, 236810, 4310, 138, 107, 236778, 236761, 68988, 607, 21905, 12955, 2818, 143996, 532, 71265, 573, 28239, 2258, 138, 107, 236800, 236761, 191839, 6508, 236787, 6890, 56896, 3730, 16683, 2342, 41686, 17572, 236786, 22045, 54936, 11595, 531, 37837, 26726, 23060, 138, 108, 2094, 15028, 691, 56466, 699, 506, 5213, 64020, 91075, 9299, 1018, 532, 100146, 13275, 607, 822, 9578, 10040, 236761, 21284, 611, 1133, 4767, 15936, 653, 45804, 19205, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 1702, 2203, 13696, 684, 31894, 236789, 236751, 7363, 1610, 236764, 532, 564, 1202, 531, 32545, 2263, 18434, 528, 1041, 15771, 236761, 28344, 611, 1601, 786, 1586, 496, 46898, 130398, 15028, 600, 48110, 10687, 8036, 90927, 236881, 564, 1461, 531, 10807, 506, 13415, 607, 69552, 1063, 89617, 573, 1041, 15017, 1702, 981, 236761, 3792, 786, 1281, 768, 611, 740, 8091, 600, 3075, 1699, 822, 6436, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 1083, 3714, 1201, 1083, 623, 21221, 8036, 20273, 524, 138067, 86742, 190503, 827, 623, 77095, 1083, 11058, 236770, 2228, 529, 106377, 236764, 3463, 1131, 28721, 236772, 21928, 55805, 1412, 827, 623, 236778, 107072, 26012, 4446, 827, 623, 236770, 107072, 10687, 8036, 90927, 827, 623, 236770, 236786, 236778, 72881, 29508, 13950, 827, 623, 236770, 236786, 236812, 72881, 59010, 129882, 827, 623, 69654, 532, 22300, 531, 11613, 827, 623, 130547, 12955, 2818, 143996, 568, 31162, 236768, 14255, 623, 96654, 1083, 11058, 3695, 31071, 19768, 531, 236743, 236812, 236778, 236810, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 568, 236778, 236778, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236780, 236768, 532, 1757, 496, 25671, 10988, 607, 104237, 3627, 10498, 623, 902, 496, 13392, 236764, 30366, 106377, 55805, 1412, 607, 26012, 4446, 532, 784, 6299, 35226, 3097, 41923, 35911, 10498, 623, 97813, 55805, 1412, 528, 496, 3161, 6352, 580, 506, 25671, 10988, 532, 59681, 573, 236743, 236778, 236771, 236772, 236778, 236810, 4310, 236764, 82232, 49817, 1343, 10498, 623, 75858, 3425, 607, 21905, 12955, 2818, 143996, 532, 5756, 71265, 573, 496, 28239, 2258, 9530, 4011, 573, 15491, 10498, 623, 2542, 1702, 11048, 236787, 58108, 607, 56896, 3730, 16683, 532, 8363, 2342, 41686, 17572, 11595, 531, 8357, 506, 43615, 236789, 236751, 26726, 23060, 62192, 623, 3677, 236779, 6265, 1083, 623, 64020, 91075, 9299, 566, 236778, 236761, 236770, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 46898, 130398, 15028, 18482, 10687, 8036, 90927, 236764, 4011, 573, 822, 31894, 236772, 52728, 1702, 2203, 236787, 108, 1018, 21221, 8036, 20273, 524, 138067, 86742, 190503, 1018, 138, 107, 236829, 64690, 63508, 138, 107, 236772, 138067, 86742, 55805, 1412, 138, 107, 236772, 43591, 4446, 138, 107, 236772, 10687, 8036, 90927, 138, 107, 236772, 127422, 13950, 138, 107, 236772, 4504, 15320, 129882, 138, 107, 236772, 28501, 236786, 144793, 138, 107, 236772, 26272, 21905, 12955, 2818, 143996, 138, 108, 236829, 81851, 63508, 138, 107, 236770, 236761, 187986, 56677, 106377, 657, 236743, 236812, 236778, 236810, 237366, 236811, 568, 236778, 236778, 236771, 237366, 236780, 236768, 573, 236743, 236778, 236771, 236772, 236778, 236810, 4310, 138, 107, 236778, 236761, 68988, 607, 21905, 12955, 2818, 143996, 532, 71265, 573, 28239, 2258, 138, 107, 236800, 236761, 191839, 6508, 236787, 6890, 56896, 3730, 16683, 2342, 41686, 17572, 236786, 22045, 54936, 11595, 531, 37837, 26726, 23060, 138, 108, 2094, 15028, 691, 56466, 699, 506, 5213, 64020, 91075, 9299, 1018, 532, 100146, 13275, 607, 822, 9578, 10040, 236761, 21284, 611, 1133, 4767, 15936, 653, 45804, 19205, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 614, 939, 144964, 4083, 1719, 2460, 657, 1023, 29163, 11493, 6022, 532, 1202, 1601, 607, 1156, 2432, 236761, 5315, 236764, 564, 236789, 236753, 1133, 531, 10368, 506, 2460, 573, 8224, 236764, 6198, 236743, 236770, 236812, 594, 699, 236743, 236770, 236770, 8151, 531, 236743, 236800, 8711, 753, 1451, 611, 2619, 496, 14626, 2460, 573, 600, 236881, 9674, 236764, 564, 1461, 531, 16807, 506, 4855, 6888, 4563, 1262, 573, 506, 3399, 3988, 236789, 236751, 65911, 3393, 236743, 236810, 236800, 236770, 236800, 236778, 531, 5330, 1023, 42527, 5417, 735, 11459, 19573, 4889, 236761, 21284, 611, 3666, 12804, 1800, 1239, 9395, 573, 786, 236881, 564, 236789, 236753, 992, 1133, 531, 1386, 2889, 1027, 3421, 1938, 699, 4855, 6888, 6757, 5012, 528, 506, 2460, 6492, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 3970, 1083, 623, 236810, 236800, 236770, 236800, 236778, 827, 623, 13319, 1083, 623, 116566, 827, 623, 3255, 1083, 623, 159130, 827, 623, 78660, 1083, 623, 209768, 5796, 827, 623, 37673, 1083, 236743, 236812, 236778, 236761, 236819, 236812, 236828, 236812, 236764, 623, 41713, 1083, 753, 236828, 236832, 236761, 236819, 236812, 236770, 236828, 236764, 623, 7376, 236779, 3970, 1083, 623, 236778, 236825, 236778, 827, 623, 2289, 236779, 13873, 1083, 623, 47158, 236786, 49548, 827, 623, 7125, 236779, 2084, 1083, 623, 46640, 6022, 827, 623, 7720, 1083, 623, 236810, 236812, 236778, 236810, 555, 236743, 236832, 236825, 594, 842, 236764, 29163, 236764, 55927, 236743, 236810, 236800, 236770, 236800, 236778, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 5106, 236779, 547, 1083, 623, 37469, 236779, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236812, 236779, 17637, 1496, 827, 623, 4818, 1083, 623, 144376, 827, 623, 3250, 1083, 623, 3845, 144964, 10358, 6156, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 236774, 236770, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 7125, 1083, 623, 116566, 11493, 6022, 827, 623, 7777, 1083, 623, 9604, 236787, 236743, 236770, 236778, 236800, 28917, 25692, 236764, 29163, 236764, 55927, 236743, 236810, 236800, 236770, 236800, 236778, 568, 87622, 4323, 4855, 6888, 1262, 16291, 236783, 106, 107, 105, 4368, 107, 236777, 236789, 560, 7723, 1800, 9395, 573, 822, 939, 144964, 4083, 1719, 2460, 236787, 108, 236770, 236761, 128731, 4855, 6888, 4563, 1262, 573, 65911, 236743, 236810, 236800, 236770, 236800, 236778, 3831, 236787, 107, 139, 244343, 29163, 11493, 6022, 107, 139, 250290, 236743, 236810, 236812, 236778, 236810, 555, 236743, 236832, 236825, 594, 842, 236764, 29163, 236764, 55927, 236743, 236810, 236800, 236770, 236800, 236778, 107, 139, 246978, 119558, 236787, 236743, 236812, 236778, 236761, 236819, 236812, 236828, 236812, 237366, 236797, 236764, 236743, 236828, 236832, 236761, 236819, 236812, 236770, 236828, 237366, 236824, 108, 236778, 236761, 20236, 822, 14626, 2460, 607, 1239, 4889, 236787, 107, 139, 249460, 4471, 144964, 10358, 6156, 107, 139, 252074, 8224, 236764, 6198, 236743, 236770, 236812, 594, 1109, 236743, 236770, 236770, 236787, 236771, 236771, 8151, 753, 236743, 236800, 236787, 236771, 236771, 8711, 107, 139, 244343, 29163, 11493, 6022, 107, 139, 245305, 17243, 5132, 27662, 3421, 532, 4563, 15375, 108, 11069, 42527, 5417, 795, 1492, 735, 11459, 19573, 1938, 236761, 21284, 611, 1133, 786, 531, 2847, 1027, 4767, 4889, 1003, 506, 2460, 10884, 653, 4563, 72320, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 614, 939, 144964, 4083, 1719, 2460, 657, 1023, 29163, 11493, 6022, 532, 1202, 1601, 607, 1156, 2432, 236761, 5315, 236764, 564, 236789, 236753, 1133, 531, 10368, 506, 2460, 573, 8224, 236764, 6198, 236743, 236770, 236812, 594, 699, 236743, 236770, 236770, 8151, 531, 236743, 236800, 8711, 753, 1451, 611, 2619, 496, 14626, 2460, 573, 600, 236881, 9674, 236764, 564, 1461, 531, 16807, 506, 4855, 6888, 4563, 1262, 573, 506, 3399, 3988, 236789, 236751, 65911, 3393, 236743, 236810, 236800, 236770, 236800, 236778, 531, 5330, 1023, 42527, 5417, 735, 11459, 19573, 4889, 236761, 21284, 611, 3666, 12804, 1800, 1239, 9395, 573, 786, 236881, 564, 236789, 236753, 992, 1133, 531, 1386, 2889, 1027, 3421, 1938, 699, 4855, 6888, 6757, 5012, 528, 506, 2460, 6492, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 3970, 1083, 623, 236810, 236800, 236770, 236800, 236778, 827, 623, 13319, 1083, 623, 116566, 827, 623, 3255, 1083, 623, 159130, 827, 623, 78660, 1083, 623, 209768, 5796, 827, 623, 37673, 1083, 236743, 236812, 236778, 236761, 236819, 236812, 236828, 236812, 236764, 623, 41713, 1083, 753, 236828, 236832, 236761, 236819, 236812, 236770, 236828, 236764, 623, 7376, 236779, 3970, 1083, 623, 236778, 236825, 236778, 827, 623, 2289, 236779, 13873, 1083, 623, 47158, 236786, 49548, 827, 623, 7125, 236779, 2084, 1083, 623, 46640, 6022, 827, 623, 7720, 1083, 623, 236810, 236812, 236778, 236810, 555, 236743, 236832, 236825, 594, 842, 236764, 29163, 236764, 55927, 236743, 236810, 236800, 236770, 236800, 236778, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 5106, 236779, 547, 1083, 623, 37469, 236779, 236778, 236771, 236778, 236800, 236770, 236771, 236770, 236812, 236779, 17637, 1496, 827, 623, 4818, 1083, 623, 144376, 827, 623, 3250, 1083, 623, 3845, 144964, 10358, 6156, 827, 623, 3041, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 236774, 236770, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 643, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 7125, 1083, 623, 116566, 11493, 6022, 827, 623, 7777, 1083, 623, 9604, 236787, 236743, 236770, 236778, 236800, 28917, 25692, 236764, 29163, 236764, 55927, 236743, 236810, 236800, 236770, 236800, 236778, 568, 87622, 4323, 4855, 6888, 1262, 16291, 236783, 106, 107, 105, 4368, 107, 236777, 236789, 560, 7723, 1800, 9395, 573, 822, 939, 144964, 4083, 1719, 2460, 236787, 108, 236770, 236761, 128731, 4855, 6888, 4563, 1262, 573, 65911, 236743, 236810, 236800, 236770, 236800, 236778, 3831, 236787, 107, 139, 244343, 29163, 11493, 6022, 107, 139, 250290, 236743, 236810, 236812, 236778, 236810, 555, 236743, 236832, 236825, 594, 842, 236764, 29163, 236764, 55927, 236743, 236810, 236800, 236770, 236800, 236778, 107, 139, 246978, 119558, 236787, 236743, 236812, 236778, 236761, 236819, 236812, 236828, 236812, 237366, 236797, 236764, 236743, 236828, 236832, 236761, 236819, 236812, 236770, 236828, 237366, 236824, 108, 236778, 236761, 20236, 822, 14626, 2460, 607, 1239, 4889, 236787, 107, 139, 249460, 4471, 144964, 10358, 6156, 107, 139, 252074, 8224, 236764, 6198, 236743, 236770, 236812, 594, 1109, 236743, 236770, 236770, 236787, 236771, 236771, 8151, 753, 236743, 236800, 236787, 236771, 236771, 8711, 107, 139, 244343, 29163, 11493, 6022, 107, 139, 245305, 17243, 5132, 27662, 3421, 532, 4563, 15375, 108, 11069, 42527, 5417, 795, 1492, 735, 11459, 19573, 1938, 236761, 21284, 611, 1133, 786, 531, 2847, 1027, 4767, 4889, 1003, 506, 2460, 10884, 653, 4563, 72320, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 496, 1719, 7946, 531, 192846, 573, 496, 35400, 27313, 5395, 532, 16329, 506, 4981, 529, 496, 8341, 236761, 5315, 236764, 9279, 506, 5149, 699, 9348, 59714, 236764, 31566, 531, 192846, 236764, 13187, 531, 2731, 7611, 20627, 236761, 4298, 2619, 496, 10368, 600, 5132, 27197, 990, 236764, 16257, 236764, 236743, 236778, 236772, 13807, 5395, 236764, 14016, 2541, 236764, 532, 994, 236761, 13472, 236764, 2426, 506, 8341, 4981, 1699, 506, 3618, 5853, 623, 30455, 25291, 236779, 236770, 236778, 236800, 236812, 236810, 236775, 607, 9299, 2307, 623, 155103, 3370, 236779, 3677, 236779, 236832, 236828, 236819, 3056, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17178, 1083, 236743, 236770, 236778, 236800, 236761, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 23812, 1083, 623, 14188, 711, 5221, 528, 5904, 30539, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 214956, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 4375, 1083, 623, 5124, 40312, 25291, 236779, 236770, 236778, 236800, 236812, 236810, 10428, 12063, 531, 27945, 25938, 106, 107, 105, 4368, 107, 818, 7946, 699, 9348, 59714, 236764, 31566, 531, 192846, 236764, 13187, 563, 5213, 236770, 236778, 236800, 236761, 236810, 7635, 84750, 138, 108, 818, 8341, 4981, 573, 3618, 5853, 5213, 30455, 25291, 236779, 236770, 236778, 236800, 236812, 236810, 1018, 563, 5213, 214956, 125546, 10778, 657, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236743, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 59528, 84750, 138, 108, 2542, 506, 10368, 236764, 506, 5904, 2246, 691, 32107, 531, 1161, 496, 6648, 3499, 529, 4209, 16587, 236761, 5715, 236789, 236751, 822, 90152, 2731, 236787, 138, 108, 1018, 13265, 34960, 27468, 1018, 138, 107, 236772, 5213, 125489, 66515, 236743, 236828, 236787, 236771, 236771, 8151, 138, 107, 236772, 5213, 91011, 66515, 236743, 236770, 236770, 236787, 236800, 236771, 8151, 138, 107, 236772, 5213, 63947, 66515, 236743, 236770, 236770, 236787, 236800, 236771, 8151, 1271, 236743, 236770, 236787, 236800, 236771, 8711, 138, 107, 236772, 5213, 130318, 26192, 66515, 236743, 236778, 236787, 236771, 236771, 8711, 1271, 236743, 236800, 236787, 236771, 236771, 8711, 138, 107, 236772, 5213, 13293, 163351, 66515, 236743, 236810, 236787, 236771, 236771, 8711, 138, 108, 39316, 33036, 236888, 3792, 786, 1281, 768, 3342, 30981, 659, 4354, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 6995, 496, 1719, 7946, 531, 192846, 573, 496, 35400, 27313, 5395, 532, 16329, 506, 4981, 529, 496, 8341, 236761, 5315, 236764, 9279, 506, 5149, 699, 9348, 59714, 236764, 31566, 531, 192846, 236764, 13187, 531, 2731, 7611, 20627, 236761, 4298, 2619, 496, 10368, 600, 5132, 27197, 990, 236764, 16257, 236764, 236743, 236778, 236772, 13807, 5395, 236764, 14016, 2541, 236764, 532, 994, 236761, 13472, 236764, 2426, 506, 8341, 4981, 1699, 506, 3618, 5853, 623, 30455, 25291, 236779, 236770, 236778, 236800, 236812, 236810, 236775, 607, 9299, 2307, 623, 155103, 3370, 236779, 3677, 236779, 236832, 236828, 236819, 3056, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17178, 1083, 236743, 236770, 236778, 236800, 236761, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 17811, 623, 29995, 1083, 3714, 23812, 1083, 623, 14188, 711, 5221, 528, 5904, 30539, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 214956, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 827, 623, 4375, 1083, 623, 5124, 40312, 25291, 236779, 236770, 236778, 236800, 236812, 236810, 10428, 12063, 531, 27945, 25938, 106, 107, 105, 4368, 107, 818, 7946, 699, 9348, 59714, 236764, 31566, 531, 192846, 236764, 13187, 563, 5213, 236770, 236778, 236800, 236761, 236810, 7635, 84750, 138, 108, 818, 8341, 4981, 573, 3618, 5853, 5213, 30455, 25291, 236779, 236770, 236778, 236800, 236812, 236810, 1018, 563, 5213, 214956, 125546, 10778, 657, 5213, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236743, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 59528, 84750, 138, 108, 2542, 506, 10368, 236764, 506, 5904, 2246, 691, 32107, 531, 1161, 496, 6648, 3499, 529, 4209, 16587, 236761, 5715, 236789, 236751, 822, 90152, 2731, 236787, 138, 108, 1018, 13265, 34960, 27468, 1018, 138, 107, 236772, 5213, 125489, 66515, 236743, 236828, 236787, 236771, 236771, 8151, 138, 107, 236772, 5213, 91011, 66515, 236743, 236770, 236770, 236787, 236800, 236771, 8151, 138, 107, 236772, 5213, 63947, 66515, 236743, 236770, 236770, 236787, 236800, 236771, 8151, 1271, 236743, 236770, 236787, 236800, 236771, 8711, 138, 107, 236772, 5213, 130318, 26192, 66515, 236743, 236778, 236787, 236771, 236771, 8711, 1271, 236743, 236800, 236787, 236771, 236771, 8711, 138, 107, 236772, 5213, 13293, 163351, 66515, 236743, 236810, 236787, 236771, 236771, 8711, 138, 108, 39316, 33036, 236888, 3792, 786, 1281, 768, 3342, 30981, 659, 4354, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2847, 496, 9813, 9960, 529, 506, 22403, 107875, 236789, 3736, 1024, 506, 3068, 3493, 18046, 14922, 506, 1799, 7591, 73634, 236764, 19541, 580, 3345, 236786, 10558, 8735, 236764, 2307, 14906, 1133, 3298, 810, 2290, 236764, 532, 48524, 33611, 236881, 564, 236858, 236753, 1133, 531, 18840, 15067, 600, 2473, 8082, 910, 13128, 16182, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 17789, 1083, 3714, 76339, 1083, 236743, 236810, 236764, 623, 74718, 1083, 236743, 236770, 236770, 236764, 623, 3123, 1083, 236743, 236771, 1263, 623, 2478, 236779, 80284, 1083, 3714, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236770, 236825, 236761, 236810, 236764, 623, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236832, 236761, 236800, 236764, 623, 6725, 236779, 46814, 1083, 236743, 236810, 236812, 236771, 236778, 236764, 623, 887, 34106, 1083, 236743, 236770, 236828, 1263, 623, 1555, 2865, 236779, 99693, 1083, 2416, 236764, 623, 4375, 1083, 623, 2100, 22136, 236743, 236778, 236771, 236770, 236819, 3409, 236761, 1701, 5074, 236772, 19458, 3671, 236764, 4767, 27490, 3149, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 6328, 236779, 10558, 236779, 17789, 1083, 623, 236770, 236771, 236772, 236825, 827, 623, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236828, 236761, 236812, 236764, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 6725, 236779, 46814, 1083, 236743, 236810, 236825, 236828, 236778, 236764, 623, 887, 34106, 1083, 236743, 236770, 236828, 236764, 623, 3991, 236779, 2865, 1867, 236779, 5000, 1083, 623, 236774, 3271, 19653, 869, 917, 27946, 827, 623, 84621, 236779, 15080, 1083, 236743, 236770, 236778, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 17789, 1083, 3714, 76339, 1083, 236743, 236819, 236764, 623, 74718, 1083, 236743, 236828, 236764, 623, 3123, 1083, 236743, 236771, 1263, 623, 2478, 236779, 23251, 1083, 3714, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236812, 236761, 236800, 236764, 623, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236778, 236761, 236770, 236764, 623, 6725, 236779, 46814, 1083, 236743, 236810, 236828, 236778, 236800, 236764, 623, 887, 34106, 1083, 236743, 236770, 236812, 1263, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 1555, 2865, 236779, 3709, 1083, 623, 39678, 9981, 23117, 827, 623, 574, 11476, 236751, 236779, 109982, 1083, 2416, 236764, 623, 5000, 236779, 23251, 236779, 109982, 1083, 2416, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 17789, 1083, 3714, 76339, 1083, 236743, 236819, 236764, 623, 74718, 1083, 236743, 236828, 236764, 623, 3123, 1083, 236743, 236771, 1263, 623, 2478, 236779, 80284, 1083, 3714, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236812, 236761, 236810, 236764, 623, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236778, 236761, 236800, 236764, 623, 126516, 236779, 46814, 236779, 721, 236779, 5567, 1083, 236743, 236800, 236825, 236828, 236761, 236778, 236764, 623, 2063, 4410, 236779, 46814, 236779, 721, 236779, 5567, 1083, 236743, 236800, 236812, 236778, 236761, 236832, 1263, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 1555, 2865, 236779, 3709, 1083, 623, 39678, 9981, 23117, 827, 623, 58392, 236779, 15080, 1083, 236743, 236800, 236764, 623, 80043, 236779, 15080, 1013, 1083, 3714, 2865, 1867, 1083, 236743, 236828, 236764, 623, 84621, 1083, 236743, 236770, 236778, 1263, 623, 2217, 742, 236779, 28544, 1083, 3714, 3991, 236779, 721, 42591, 1083, 3714, 1201, 1083, 623, 48570, 8830, 10892, 827, 623, 500, 25063, 1083, 236743, 236770, 236770, 236819, 236764, 623, 46814, 1083, 236743, 236770, 236825, 236819, 236825, 236764, 623, 28883, 108057, 1083, 236743, 236819, 1263, 623, 26016, 236779, 236745, 697, 1898, 1083, 3714, 1201, 1083, 623, 48886, 761, 28955, 827, 623, 236745, 697, 1074, 1083, 236743, 236770, 236770, 236778, 5237, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 6328, 236779, 10558, 236779, 17789, 1083, 3714, 76339, 1083, 236743, 236770, 236770, 236764, 623, 74718, 1083, 236743, 236825, 1263, 623, 2478, 236779, 80284, 1083, 3714, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236810, 236761, 236810, 236764, 623, 12448, 220427, 236779, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236770, 236761, 236800, 236764, 623, 887, 1749, 236779, 92520, 1083, 10955, 236832, 23179, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 1555, 2865, 236779, 3709, 1083, 623, 70678, 528, 90715, 13695, 9981, 9064, 827, 623, 23184, 1083, 623, 236778, 236771, 236778, 236800, 3409, 11373, 506, 2434, 236789, 236751, 1171, 48524, 10086, 2338, 236743, 236778, 236771, 236770, 236825, 236764, 5378, 684, 81378, 204563, 19653, 869, 917, 27946, 236789, 236751, 6334, 236772, 11480, 236743, 236778, 236810, 38952, 16349, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 6328, 236779, 10558, 236779, 17789, 1083, 623, 236770, 236778, 236772, 236812, 827, 623, 2478, 236779, 80284, 1083, 3714, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236778, 236761, 236819, 236764, 623, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236770, 236825, 236761, 236810, 236764, 623, 887, 1749, 236779, 92520, 1083, 10955, 236800, 236828, 23179, 623, 1555, 2865, 236779, 138534, 2499, 1083, 78493, 979, 1083, 623, 235845, 13695, 9981, 9064, 827, 623, 3709, 1083, 623, 43279, 531, 27806, 80052, 25938, 1604, 623, 58392, 236779, 15080, 1083, 623, 236800, 7221, 568, 235845, 7123, 16291, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 6328, 236779, 10558, 236779, 17789, 1083, 623, 236832, 236772, 236819, 827, 623, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236812, 236761, 236810, 236764, 623, 11116, 236779, 59677, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236832, 236761, 236810, 236764, 623, 1555, 2865, 236779, 99693, 1083, 2416, 236764, 623, 2478, 236779, 80284, 1083, 3714, 887, 1749, 236779, 92520, 1083, 9296, 236828, 827, 623, 2289, 236779, 1340, 236779, 1163, 8494, 1083, 623, 236800, 236771, 236787, 236778, 236778, 827, 623, 23362, 236779, 3843, 236779, 69930, 1083, 623, 236800, 236828, 236761, 236810, 38032, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 6328, 236779, 10558, 236779, 17789, 1083, 623, 236770, 236771, 236772, 236832, 827, 623, 2478, 236779, 80284, 1083, 3714, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236812, 236761, 236810, 236764, 623, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236771, 236761, 236800, 236764, 623, 6725, 236779, 46814, 236779, 721, 236779, 5567, 1083, 236743, 236800, 236812, 236810, 236761, 236828, 236764, 623, 887, 1749, 236779, 92520, 1083, 10955, 236770, 236778, 23179, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 1555, 2865, 236779, 3709, 1083, 623, 235845, 17607, 9064, 827, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 231787, 1083, 3714, 126516, 236779, 105674, 1083, 10955, 236828, 236761, 236778, 236908, 5483, 531, 236743, 236778, 236771, 236778, 236771, 827, 623, 2063, 4410, 236779, 181188, 1083, 623, 8534, 236743, 236810, 528, 211510, 3298, 6208, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 6328, 236779, 10558, 236779, 17789, 1083, 623, 236828, 236772, 236819, 827, 623, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236771, 236761, 236810, 236764, 623, 1555, 2865, 236779, 99693, 1083, 2416, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 6328, 236779, 10558, 236779, 17789, 1083, 623, 236770, 236770, 236772, 236825, 236772, 236771, 827, 623, 11116, 236779, 721, 236779, 5567, 236779, 2865, 1867, 1083, 236743, 236778, 236832, 236761, 236810, 236764, 623, 11116, 236779, 721, 236779, 5567, 236779, 84621, 1083, 236743, 236778, 236778, 236761, 236800, 236764, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 58392, 236779, 15080, 1083, 236743, 236778, 236764, 623, 2478, 236779, 23251, 1083, 3714, 6725, 236779, 46814, 1083, 236743, 236810, 236812, 236828, 236778, 236764, 623, 887, 34106, 1083, 236743, 236770, 236828, 236764, 623, 236751, 8003, 1083, 236743, 236812, 236770, 236764, 623, 1192, 236779, 13873, 236779, 70687, 1083, 623, 236825, 236778, 236761, 236800, 171446, 623, 23184, 1083, 623, 20796, 524, 90715, 17607, 2290, 1308, 15174, 531, 37686, 62821, 528, 173489, 23117, 236761, 8460, 49516, 236789, 236751, 1626, 3409, 618, 6250, 81378, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 9960, 529, 506, 22403, 107875, 532, 1799, 7591, 73634, 699, 236743, 236778, 236771, 236770, 236819, 236964, 236778, 236771, 236778, 236800, 236787, 108, 1018, 236770, 236761, 13357, 236786, 43279, 22204, 1018, 138, 107, 236909, 10765, 1109, 236743, 236778, 236771, 236770, 236819, 1109, 236743, 236778, 236771, 236778, 236771, 1109, 236743, 236778, 236771, 236778, 236770, 1109, 236743, 236778, 236771, 236778, 236778, 1109, 236743, 236778, 236771, 236778, 236800, 1109, 138, 107, 236909, 171168, 171168, 171168, 171168, 171168, 171168, 138, 107, 236909, 5213, 236796, 36103, 1365, 1018, 1109, 236743, 236810, 236772, 236770, 236770, 1109, 236743, 236770, 236771, 236772, 236825, 1109, 236743, 236819, 236772, 236828, 1109, 236743, 236819, 236772, 236828, 1109, 5213, 236770, 236770, 236772, 236825, 1018, 1109, 138, 107, 236909, 5213, 12407, 147348, 1018, 1109, 236743, 236770, 236778, 236772, 236812, 1109, 236743, 236832, 236772, 236819, 1109, 236743, 236770, 236771, 236772, 236832, 1109, 236743, 236828, 236772, 236819, 1109, 5213, 236770, 236770, 236772, 236825, 1018, 1109, 138, 108, 1018, 236778, 236761, 9533, 160486, 61922, 568, 14616, 236823, 62902, 138, 107, 236909, 10765, 1109, 236743, 236778, 236771, 236770, 236819, 1109, 236743, 236778, 236771, 236778, 236771, 1109, 236743, 236778, 236771, 236778, 236770, 1109, 236743, 236778, 236771, 236778, 236778, 1109, 236743, 236778, 236771, 236778, 236800, 1109, 138, 107, 236909, 171168, 171168, 171168, 171168, 171168, 171168, 138, 107, 236909, 5213, 236796, 36103, 1365, 1018, 1109, 236743, 236770, 236825, 236761, 236810, 1109, 236743, 236778, 236828, 236761, 236812, 1109, 236743, 236778, 236812, 236761, 236800, 1109, 236743, 236778, 236812, 236761, 236810, 1109, 5213, 236778, 236810, 236761, 236810, 1018, 1109, 138, 107, 236909, 5213, 12407, 147348, 1018, 1109, 236743, 236778, 236778, 236761, 236819, 1109, 236743, 236778, 236812, 236761, 236810, 1109, 236743, 236778, 236812, 236761, 236810, 1109, 236743, 236778, 236771, 236761, 236810, 1109, 5213, 236778, 236832, 236761, 236810, 1018, 1109, 138, 108, 1018, 236800, 236761, 9274, 2865, 227626, 2499, 1018, 138, 107, 236772, 5213, 236796, 36103, 1365, 66515, 236743, 236778, 236771, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 568, 712, 13695, 9981, 14672, 4533, 236743, 236778, 236771, 236778, 236771, 10259, 236768, 138, 107, 236772, 5213, 12407, 147348, 66515, 236743, 236778, 236771, 236770, 236819, 568, 39678, 9981, 3967, 779, 236743, 236778, 236771, 236778, 236770, 568, 235845, 17607, 3967, 779, 236743, 236778, 236771, 236778, 236800, 568, 13236, 43304, 23117, 3967, 236768, 138, 108, 1018, 200003, 833, 93303, 43141, 1018, 138, 107, 236772, 5213, 8565, 4410, 36630, 66515, 138, 107, 138, 818, 107875, 236789, 23323, 107459, 1308, 44708, 20876, 8830, 10892, 568, 236778, 236771, 236778, 236778, 236768, 532, 14526, 36679, 1441, 568, 236774, 3271, 19653, 869, 917, 27946, 236789, 236751, 2913, 769, 9963, 149958, 11076, 699, 236743, 236770, 236825, 236761, 236810, 568, 236778, 236771, 236770, 236819, 236768, 531, 236743, 236778, 236810, 236761, 236810, 568, 236778, 236771, 236778, 236800, 769, 138, 107, 138, 818, 73634, 236789, 23323, 90959, 528, 236743, 236778, 236771, 236778, 236800, 568, 236778, 236832, 236761, 236810, 149958, 236768, 840, 24984, 699, 910, 236743, 236778, 236771, 236770, 236819, 236964, 236778, 236771, 236778, 236770, 623, 65794, 19473, 236775, 6933, 236764, 22043, 2779, 531, 81378, 25477, 568, 222172, 236789, 236751, 27197, 528, 236743, 236778, 236771, 236778, 236771, 769, 138, 108, 236772, 5213, 4222, 4410, 19791, 66515, 138, 107, 138, 818, 73634, 236789, 11356, 27222, 3649, 568, 236770, 236825, 236761, 236810, 149958, 6208, 528, 236743, 236778, 236771, 236770, 236819, 236764, 1903, 236743, 236810, 528, 236743, 236778, 236771, 236778, 236770, 236768, 840, 1157, 7461, 684, 236743, 236778, 236771, 236778, 236800, 568, 236778, 236778, 236761, 236800, 149958, 769, 669, 107875, 236789, 11356, 9806, 41296, 568, 236778, 236832, 236761, 236800, 16130, 236743, 236778, 236770, 236761, 236800, 149958, 6208, 779, 10425, 13128, 684, 236743, 236778, 236771, 236778, 236800, 236761, 138, 108, 236772, 5213, 22354, 1749, 165984, 66515, 138, 107, 138, 4199, 7591, 236789, 236751, 900, 236800, 236828, 38374, 13992, 568, 236778, 236771, 236770, 236819, 236768, 532, 900, 236770, 236778, 568, 236778, 236771, 236778, 236770, 236768, 85132, 2630, 236764, 1651, 910, 753, 236828, 568, 236778, 236771, 236778, 236771, 236768, 532, 39119, 4299, 5052, 528, 236743, 236778, 236771, 236778, 236778, 236964, 236778, 236771, 236778, 236800, 16131, 236761, 22403, 14038, 20433, 38374, 3997, 15554, 236770, 236828, 528, 236743, 236778, 236771, 236778, 236771, 236764, 900, 236832, 528, 236743, 236778, 236771, 236778, 236800, 769, 138, 108, 236772, 5213, 12104, 2865, 137727, 66515, 138, 107, 138, 22186, 7974, 34554, 528, 506, 99763, 9785, 4841, 236772, 19458, 2630, 236761, 669, 107875, 236789, 236743, 236812, 22592, 48524, 183108, 568, 236778, 236771, 236778, 236771, 236964, 236778, 236771, 236778, 236800, 236768, 44423, 951, 18779, 236764, 1651, 506, 73634, 236789, 236743, 236778, 236771, 236778, 236770, 90715, 17607, 1845, 7474, 910, 58825, 48524, 1845, 528, 506, 1868, 236772, 222172, 6933, 236761, 138, 108, 1018, 30792, 66515, 138, 107, 818, 107875, 236789, 4803, 8570, 568, 236770, 236770, 236772, 236825, 528, 236743, 236778, 236771, 236778, 236800, 236768, 22136, 25084, 42392, 532, 81378, 11646, 236764, 1651, 506, 73634, 236789, 123135, 1208, 861, 1366, 35343, 568, 236778, 236771, 236778, 236800, 236768, 3831, 104761, 236761, 230726, 3997, 532, 25501, 25725, 795, 4547, 6054, 3402, 184820, 236761, 106, 107, 105, 2364, 107, 36161, 580, 506, 3527, 3671, 236764, 1451, 611, 33205, 506, 25501, 14906, 573, 1800, 7974, 1024, 506, 1638, 3493, 18046, 236764, 19541, 580, 3298, 6208, 810, 2290, 236764, 116097, 11724, 236764, 532, 4168, 236772, 3843, 14274, 6224, 236881, 564, 1461, 531, 65879, 1239, 19455, 607, 910, 48524, 3736, 15067, 531, 8701, 3435, 49679, 600, 1451, 7630, 3402, 184820, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236832, 236761, 236812, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236770, 236828, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 1083, 623, 236800, 236828, 236761, 236832, 171446, 623, 1555, 2865, 236779, 32677, 1083, 3714, 1555, 2865, 236779, 99693, 1083, 2416, 236764, 623, 76339, 1083, 236743, 236810, 236764, 623, 74718, 1083, 236743, 236770, 236770, 1263, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236770, 236761, 236828, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236770, 236810, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 1083, 623, 236812, 236771, 236761, 236800, 171446, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 23184, 1083, 623, 236778, 236771, 236778, 236771, 3409, 5012, 48524, 86776, 568, 235845, 13695, 9981, 23117, 769, 20687, 236772, 3843, 11356, 25847, 236743, 236770, 236778, 594, 528, 23532, 236761, 14132, 34106, 11724, 5012, 236743, 236770, 236770, 119484, 532, 236743, 236812, 170264, 124210, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236810, 236761, 236800, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236770, 236828, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 84621, 1083, 623, 236800, 236828, 171446, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 1555, 2865, 236779, 32677, 1083, 3714, 979, 236779, 172217, 1083, 623, 39678, 9981, 23117, 827, 623, 2063, 4410, 236779, 80061, 236779, 65831, 236779, 1555, 22313, 1083, 236743, 236770, 236810, 1263, 623, 85335, 236779, 28263, 1083, 3714, 11116, 236779, 36217, 236779, 21314, 236779, 1555, 2865, 236779, 15560, 1083, 623, 98458, 3298, 6208, 30446, 607, 6517, 10259, 827, 623, 887, 34106, 236779, 23461, 236779, 21314, 236779, 10934, 1083, 623, 166920, 4414, 14824, 607, 48524, 44949, 827, 623, 23362, 236779, 3843, 236779, 84621, 236779, 58043, 1083, 623, 121098, 236743, 236800, 7221, 1679, 20627, 528, 48524, 4972, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236778, 236761, 236812, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236778, 236828, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 1083, 623, 236800, 236828, 236761, 236832, 171446, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 1555, 2865, 236779, 12103, 1083, 3714, 44363, 236779, 6307, 236779, 979, 1083, 623, 19470, 236788, 827, 623, 1928, 43304, 236779, 979, 1083, 623, 236798, 236743, 236778, 236832, 236772, 236778, 236825, 827, 623, 82332, 236779, 574, 11476, 1083, 623, 236797, 236786, 236776, 23179, 623, 80043, 236779, 15080, 1013, 1083, 3714, 11116, 236779, 36217, 236779, 15080, 1083, 236743, 236770, 236812, 236764, 623, 887, 34106, 236779, 23461, 236779, 15080, 1083, 236743, 236800, 236764, 623, 23362, 236779, 3843, 236779, 84621, 236779, 15080, 1083, 236743, 236828, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236778, 236761, 236810, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236770, 236828, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236800, 236828, 1263, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236770, 236800, 236761, 236832, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236778, 236770, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 236779, 84621, 1083, 236743, 236800, 236778, 1263, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 1555, 2865, 236779, 3709, 1083, 623, 235845, 17607, 9064, 827, 623, 23184, 1083, 623, 2100, 22136, 4841, 3409, 3736, 236761, 20687, 236772, 3843, 11356, 25847, 236743, 236778, 523, 528, 23532, 573, 236743, 236778, 236771, 236770, 236819, 3409, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 8556, 236779, 14992, 236779, 1201, 827, 623, 19458, 236779, 8572, 14255, 623, 29995, 1083, 3714, 3704, 1083, 623, 19049, 1051, 3847, 236764, 840, 3671, 7087, 496, 236743, 236810, 236772, 19458, 2644, 827, 623, 3917, 236779, 5000, 236779, 23251, 1083, 623, 4222, 4410, 19455, 1660, 4155, 236772, 5909, 20673, 531, 577, 15446, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236771, 236761, 236810, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236770, 236828, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 1083, 623, 236800, 236812, 236761, 236810, 171446, 623, 1555, 2865, 236779, 32677, 1083, 3714, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 979, 236779, 172217, 1083, 623, 235845, 17607, 827, 623, 85335, 236779, 28263, 1083, 3714, 11116, 236779, 36217, 236779, 21314, 236779, 1555, 2865, 236779, 10934, 1083, 623, 19503, 3298, 6208, 30446, 607, 19276, 48524, 8784, 827, 623, 887, 34106, 236779, 23461, 236779, 62580, 1083, 623, 98458, 38374, 5416, 528, 48524, 4972, 827, 623, 23362, 236779, 3843, 236779, 84621, 236779, 58043, 1083, 623, 121098, 4168, 236772, 3843, 20627, 528, 99763, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236778, 236761, 236800, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236770, 236828, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236812, 236770, 1263, 623, 1555, 2865, 236779, 32677, 1083, 3714, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 115457, 236779, 41979, 1083, 236743, 236770, 236764, 623, 47573, 169698, 1083, 11058, 19313, 1874, 1074, 2342, 1903, 236772, 43289, 132524, 827, 623, 495, 79030, 10929, 12606, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236812, 236761, 236810, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236770, 236828, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 1083, 623, 236800, 236828, 236761, 236778, 171446, 623, 1555, 2865, 236779, 32677, 1083, 3714, 1555, 2865, 236779, 99693, 1083, 2416, 236764, 623, 17789, 1083, 623, 236832, 236772, 236770, 236771, 827, 623, 2478, 236779, 47573, 169698, 1083, 11058, 894, 131836, 1074, 2342, 1903, 236772, 43289, 132524, 827, 623, 902, 79030, 10929, 12606, 152254, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 25501, 3671, 30446, 607, 48524, 3736, 573, 1800, 7974, 568, 236778, 236771, 236770, 236819, 236964, 236778, 236771, 236778, 236800, 1473, 108, 7243, 108, 10354, 5213, 120365, 107875, 153119, 48993, 1018, 107, 236909, 8799, 1109, 593, 1412, 126229, 236786, 236823, 1109, 14132, 34106, 178745, 1109, 236743, 236800, 7221, 10237, 18698, 1109, 9274, 2865, 11130, 1109, 9533, 98964, 1109, 107, 236909, 33129, 236909, 44042, 236909, 2819, 726, 236909, 2819, 726, 236909, 2819, 236909, 43386, 236909, 107, 236909, 5213, 236778, 236771, 236770, 236819, 1018, 1109, 236743, 236778, 236832, 236761, 236812, 1109, 236743, 236770, 236828, 1109, 236743, 236800, 236828, 236761, 236832, 236908, 1109, 2301, 47598, 1109, 4819, 3298, 6208, 30446, 607, 1908, 236772, 1555, 2865, 9009, 236761, 1109, 107, 236909, 5213, 236778, 236771, 236778, 236771, 1018, 1109, 236743, 236778, 236770, 236761, 236828, 1109, 236743, 236770, 236810, 1109, 236743, 236812, 236771, 236761, 236800, 236908, 1109, 13695, 9981, 28374, 1109, 67045, 11356, 840, 34554, 580, 236743, 236800, 7221, 51469, 568, 236812, 236771, 236761, 236800, 236908, 578, 236743, 236770, 236778, 594, 236772, 103519, 528, 23532, 769, 1109, 107, 236909, 5213, 236778, 236771, 236778, 236770, 1018, 1109, 236743, 236778, 236810, 236761, 236800, 1109, 236743, 236770, 236828, 1109, 236743, 236800, 236828, 236761, 236771, 236908, 1109, 13695, 9981, 28374, 1109, 153365, 3298, 6208, 9785, 1638, 38374, 3136, 618, 236743, 236778, 236771, 236778, 236771, 236761, 1109, 107, 236909, 5213, 236778, 236771, 236778, 236778, 1018, 1109, 236743, 236778, 236778, 236761, 236812, 1109, 5213, 236778, 236828, 1018, 1109, 236743, 236800, 236828, 236761, 236832, 236908, 1109, 173489, 28374, 1109, 48120, 38374, 8299, 568, 236800, 7221, 528, 23532, 236768, 840, 236743, 236800, 7221, 236772, 3843, 11356, 54611, 774, 236761, 1109, 107, 236909, 5213, 236778, 236771, 236778, 236800, 1018, 1109, 236743, 236778, 236778, 236761, 236810, 1109, 236743, 236770, 236828, 1109, 236743, 236800, 236828, 236761, 236771, 236908, 1109, 13695, 9981, 28374, 1109, 108135, 3298, 6208, 840, 951, 11531, 528, 236743, 236800, 7221, 236772, 3843, 11356, 236761, 1109, 108, 1018, 60547, 169698, 66515, 138, 107, 236772, 5213, 236800, 7221, 236772, 8063, 18698, 66515, 15428, 25847, 2480, 1082, 236743, 236828, 594, 568, 236778, 236771, 236778, 236778, 236768, 532, 6208, 31445, 531, 7352, 657, 236743, 236800, 236828, 236964, 236812, 236771, 236908, 528, 784, 48524 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 496, 9813, 9960, 529, 506, 22403, 107875, 236789, 3736, 1024, 506, 3068, 3493, 18046, 14922, 506, 1799, 7591, 73634, 236764, 19541, 580, 3345, 236786, 10558, 8735, 236764, 2307, 14906, 1133, 3298, 810, 2290, 236764, 532, 48524, 33611, 236881, 564, 236858, 236753, 1133, 531, 18840, 15067, 600, 2473, 8082, 910, 13128, 16182, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 17789, 1083, 3714, 76339, 1083, 236743, 236810, 236764, 623, 74718, 1083, 236743, 236770, 236770, 236764, 623, 3123, 1083, 236743, 236771, 1263, 623, 2478, 236779, 80284, 1083, 3714, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236770, 236825, 236761, 236810, 236764, 623, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236832, 236761, 236800, 236764, 623, 6725, 236779, 46814, 1083, 236743, 236810, 236812, 236771, 236778, 236764, 623, 887, 34106, 1083, 236743, 236770, 236828, 1263, 623, 1555, 2865, 236779, 99693, 1083, 2416, 236764, 623, 4375, 1083, 623, 2100, 22136, 236743, 236778, 236771, 236770, 236819, 3409, 236761, 1701, 5074, 236772, 19458, 3671, 236764, 4767, 27490, 3149, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 6328, 236779, 10558, 236779, 17789, 1083, 623, 236770, 236771, 236772, 236825, 827, 623, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236828, 236761, 236812, 236764, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 6725, 236779, 46814, 1083, 236743, 236810, 236825, 236828, 236778, 236764, 623, 887, 34106, 1083, 236743, 236770, 236828, 236764, 623, 3991, 236779, 2865, 1867, 236779, 5000, 1083, 623, 236774, 3271, 19653, 869, 917, 27946, 827, 623, 84621, 236779, 15080, 1083, 236743, 236770, 236778, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 17789, 1083, 3714, 76339, 1083, 236743, 236819, 236764, 623, 74718, 1083, 236743, 236828, 236764, 623, 3123, 1083, 236743, 236771, 1263, 623, 2478, 236779, 23251, 1083, 3714, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236812, 236761, 236800, 236764, 623, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236778, 236761, 236770, 236764, 623, 6725, 236779, 46814, 1083, 236743, 236810, 236828, 236778, 236800, 236764, 623, 887, 34106, 1083, 236743, 236770, 236812, 1263, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 1555, 2865, 236779, 3709, 1083, 623, 39678, 9981, 23117, 827, 623, 574, 11476, 236751, 236779, 109982, 1083, 2416, 236764, 623, 5000, 236779, 23251, 236779, 109982, 1083, 2416, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 17789, 1083, 3714, 76339, 1083, 236743, 236819, 236764, 623, 74718, 1083, 236743, 236828, 236764, 623, 3123, 1083, 236743, 236771, 1263, 623, 2478, 236779, 80284, 1083, 3714, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236812, 236761, 236810, 236764, 623, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236778, 236761, 236800, 236764, 623, 126516, 236779, 46814, 236779, 721, 236779, 5567, 1083, 236743, 236800, 236825, 236828, 236761, 236778, 236764, 623, 2063, 4410, 236779, 46814, 236779, 721, 236779, 5567, 1083, 236743, 236800, 236812, 236778, 236761, 236832, 1263, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 1555, 2865, 236779, 3709, 1083, 623, 39678, 9981, 23117, 827, 623, 58392, 236779, 15080, 1083, 236743, 236800, 236764, 623, 80043, 236779, 15080, 1013, 1083, 3714, 2865, 1867, 1083, 236743, 236828, 236764, 623, 84621, 1083, 236743, 236770, 236778, 1263, 623, 2217, 742, 236779, 28544, 1083, 3714, 3991, 236779, 721, 42591, 1083, 3714, 1201, 1083, 623, 48570, 8830, 10892, 827, 623, 500, 25063, 1083, 236743, 236770, 236770, 236819, 236764, 623, 46814, 1083, 236743, 236770, 236825, 236819, 236825, 236764, 623, 28883, 108057, 1083, 236743, 236819, 1263, 623, 26016, 236779, 236745, 697, 1898, 1083, 3714, 1201, 1083, 623, 48886, 761, 28955, 827, 623, 236745, 697, 1074, 1083, 236743, 236770, 236770, 236778, 5237, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 6328, 236779, 10558, 236779, 17789, 1083, 3714, 76339, 1083, 236743, 236770, 236770, 236764, 623, 74718, 1083, 236743, 236825, 1263, 623, 2478, 236779, 80284, 1083, 3714, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236810, 236761, 236810, 236764, 623, 12448, 220427, 236779, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236770, 236761, 236800, 236764, 623, 887, 1749, 236779, 92520, 1083, 10955, 236832, 23179, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 1555, 2865, 236779, 3709, 1083, 623, 70678, 528, 90715, 13695, 9981, 9064, 827, 623, 23184, 1083, 623, 236778, 236771, 236778, 236800, 3409, 11373, 506, 2434, 236789, 236751, 1171, 48524, 10086, 2338, 236743, 236778, 236771, 236770, 236825, 236764, 5378, 684, 81378, 204563, 19653, 869, 917, 27946, 236789, 236751, 6334, 236772, 11480, 236743, 236778, 236810, 38952, 16349, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 6328, 236779, 10558, 236779, 17789, 1083, 623, 236770, 236778, 236772, 236812, 827, 623, 2478, 236779, 80284, 1083, 3714, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236778, 236761, 236819, 236764, 623, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236770, 236825, 236761, 236810, 236764, 623, 887, 1749, 236779, 92520, 1083, 10955, 236800, 236828, 23179, 623, 1555, 2865, 236779, 138534, 2499, 1083, 78493, 979, 1083, 623, 235845, 13695, 9981, 9064, 827, 623, 3709, 1083, 623, 43279, 531, 27806, 80052, 25938, 1604, 623, 58392, 236779, 15080, 1083, 623, 236800, 7221, 568, 235845, 7123, 16291, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 6328, 236779, 10558, 236779, 17789, 1083, 623, 236832, 236772, 236819, 827, 623, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236812, 236761, 236810, 236764, 623, 11116, 236779, 59677, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236832, 236761, 236810, 236764, 623, 1555, 2865, 236779, 99693, 1083, 2416, 236764, 623, 2478, 236779, 80284, 1083, 3714, 887, 1749, 236779, 92520, 1083, 9296, 236828, 827, 623, 2289, 236779, 1340, 236779, 1163, 8494, 1083, 623, 236800, 236771, 236787, 236778, 236778, 827, 623, 23362, 236779, 3843, 236779, 69930, 1083, 623, 236800, 236828, 236761, 236810, 38032, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 6328, 236779, 10558, 236779, 17789, 1083, 623, 236770, 236771, 236772, 236832, 827, 623, 2478, 236779, 80284, 1083, 3714, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236812, 236761, 236810, 236764, 623, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236771, 236761, 236800, 236764, 623, 6725, 236779, 46814, 236779, 721, 236779, 5567, 1083, 236743, 236800, 236812, 236810, 236761, 236828, 236764, 623, 887, 1749, 236779, 92520, 1083, 10955, 236770, 236778, 23179, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 1555, 2865, 236779, 3709, 1083, 623, 235845, 17607, 9064, 827, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 231787, 1083, 3714, 126516, 236779, 105674, 1083, 10955, 236828, 236761, 236778, 236908, 5483, 531, 236743, 236778, 236771, 236778, 236771, 827, 623, 2063, 4410, 236779, 181188, 1083, 623, 8534, 236743, 236810, 528, 211510, 3298, 6208, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 6328, 236779, 10558, 236779, 17789, 1083, 623, 236828, 236772, 236819, 827, 623, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236771, 236761, 236810, 236764, 623, 1555, 2865, 236779, 99693, 1083, 2416, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 6328, 236779, 10558, 236779, 17789, 1083, 623, 236770, 236770, 236772, 236825, 236772, 236771, 827, 623, 11116, 236779, 721, 236779, 5567, 236779, 2865, 1867, 1083, 236743, 236778, 236832, 236761, 236810, 236764, 623, 11116, 236779, 721, 236779, 5567, 236779, 84621, 1083, 236743, 236778, 236778, 236761, 236800, 236764, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 58392, 236779, 15080, 1083, 236743, 236778, 236764, 623, 2478, 236779, 23251, 1083, 3714, 6725, 236779, 46814, 1083, 236743, 236810, 236812, 236828, 236778, 236764, 623, 887, 34106, 1083, 236743, 236770, 236828, 236764, 623, 236751, 8003, 1083, 236743, 236812, 236770, 236764, 623, 1192, 236779, 13873, 236779, 70687, 1083, 623, 236825, 236778, 236761, 236800, 171446, 623, 23184, 1083, 623, 20796, 524, 90715, 17607, 2290, 1308, 15174, 531, 37686, 62821, 528, 173489, 23117, 236761, 8460, 49516, 236789, 236751, 1626, 3409, 618, 6250, 81378, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 13611, 9960, 529, 506, 22403, 107875, 532, 1799, 7591, 73634, 699, 236743, 236778, 236771, 236770, 236819, 236964, 236778, 236771, 236778, 236800, 236787, 108, 1018, 236770, 236761, 13357, 236786, 43279, 22204, 1018, 138, 107, 236909, 10765, 1109, 236743, 236778, 236771, 236770, 236819, 1109, 236743, 236778, 236771, 236778, 236771, 1109, 236743, 236778, 236771, 236778, 236770, 1109, 236743, 236778, 236771, 236778, 236778, 1109, 236743, 236778, 236771, 236778, 236800, 1109, 138, 107, 236909, 171168, 171168, 171168, 171168, 171168, 171168, 138, 107, 236909, 5213, 236796, 36103, 1365, 1018, 1109, 236743, 236810, 236772, 236770, 236770, 1109, 236743, 236770, 236771, 236772, 236825, 1109, 236743, 236819, 236772, 236828, 1109, 236743, 236819, 236772, 236828, 1109, 5213, 236770, 236770, 236772, 236825, 1018, 1109, 138, 107, 236909, 5213, 12407, 147348, 1018, 1109, 236743, 236770, 236778, 236772, 236812, 1109, 236743, 236832, 236772, 236819, 1109, 236743, 236770, 236771, 236772, 236832, 1109, 236743, 236828, 236772, 236819, 1109, 5213, 236770, 236770, 236772, 236825, 1018, 1109, 138, 108, 1018, 236778, 236761, 9533, 160486, 61922, 568, 14616, 236823, 62902, 138, 107, 236909, 10765, 1109, 236743, 236778, 236771, 236770, 236819, 1109, 236743, 236778, 236771, 236778, 236771, 1109, 236743, 236778, 236771, 236778, 236770, 1109, 236743, 236778, 236771, 236778, 236778, 1109, 236743, 236778, 236771, 236778, 236800, 1109, 138, 107, 236909, 171168, 171168, 171168, 171168, 171168, 171168, 138, 107, 236909, 5213, 236796, 36103, 1365, 1018, 1109, 236743, 236770, 236825, 236761, 236810, 1109, 236743, 236778, 236828, 236761, 236812, 1109, 236743, 236778, 236812, 236761, 236800, 1109, 236743, 236778, 236812, 236761, 236810, 1109, 5213, 236778, 236810, 236761, 236810, 1018, 1109, 138, 107, 236909, 5213, 12407, 147348, 1018, 1109, 236743, 236778, 236778, 236761, 236819, 1109, 236743, 236778, 236812, 236761, 236810, 1109, 236743, 236778, 236812, 236761, 236810, 1109, 236743, 236778, 236771, 236761, 236810, 1109, 5213, 236778, 236832, 236761, 236810, 1018, 1109, 138, 108, 1018, 236800, 236761, 9274, 2865, 227626, 2499, 1018, 138, 107, 236772, 5213, 236796, 36103, 1365, 66515, 236743, 236778, 236771, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236770, 236764, 236743, 236778, 236771, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236800, 568, 712, 13695, 9981, 14672, 4533, 236743, 236778, 236771, 236778, 236771, 10259, 236768, 138, 107, 236772, 5213, 12407, 147348, 66515, 236743, 236778, 236771, 236770, 236819, 568, 39678, 9981, 3967, 779, 236743, 236778, 236771, 236778, 236770, 568, 235845, 17607, 3967, 779, 236743, 236778, 236771, 236778, 236800, 568, 13236, 43304, 23117, 3967, 236768, 138, 108, 1018, 200003, 833, 93303, 43141, 1018, 138, 107, 236772, 5213, 8565, 4410, 36630, 66515, 138, 107, 138, 818, 107875, 236789, 23323, 107459, 1308, 44708, 20876, 8830, 10892, 568, 236778, 236771, 236778, 236778, 236768, 532, 14526, 36679, 1441, 568, 236774, 3271, 19653, 869, 917, 27946, 236789, 236751, 2913, 769, 9963, 149958, 11076, 699, 236743, 236770, 236825, 236761, 236810, 568, 236778, 236771, 236770, 236819, 236768, 531, 236743, 236778, 236810, 236761, 236810, 568, 236778, 236771, 236778, 236800, 769, 138, 107, 138, 818, 73634, 236789, 23323, 90959, 528, 236743, 236778, 236771, 236778, 236800, 568, 236778, 236832, 236761, 236810, 149958, 236768, 840, 24984, 699, 910, 236743, 236778, 236771, 236770, 236819, 236964, 236778, 236771, 236778, 236770, 623, 65794, 19473, 236775, 6933, 236764, 22043, 2779, 531, 81378, 25477, 568, 222172, 236789, 236751, 27197, 528, 236743, 236778, 236771, 236778, 236771, 769, 138, 108, 236772, 5213, 4222, 4410, 19791, 66515, 138, 107, 138, 818, 73634, 236789, 11356, 27222, 3649, 568, 236770, 236825, 236761, 236810, 149958, 6208, 528, 236743, 236778, 236771, 236770, 236819, 236764, 1903, 236743, 236810, 528, 236743, 236778, 236771, 236778, 236770, 236768, 840, 1157, 7461, 684, 236743, 236778, 236771, 236778, 236800, 568, 236778, 236778, 236761, 236800, 149958, 769, 669, 107875, 236789, 11356, 9806, 41296, 568, 236778, 236832, 236761, 236800, 16130, 236743, 236778, 236770, 236761, 236800, 149958, 6208, 779, 10425, 13128, 684, 236743, 236778, 236771, 236778, 236800, 236761, 138, 108, 236772, 5213, 22354, 1749, 165984, 66515, 138, 107, 138, 4199, 7591, 236789, 236751, 900, 236800, 236828, 38374, 13992, 568, 236778, 236771, 236770, 236819, 236768, 532, 900, 236770, 236778, 568, 236778, 236771, 236778, 236770, 236768, 85132, 2630, 236764, 1651, 910, 753, 236828, 568, 236778, 236771, 236778, 236771, 236768, 532, 39119, 4299, 5052, 528, 236743, 236778, 236771, 236778, 236778, 236964, 236778, 236771, 236778, 236800, 16131, 236761, 22403, 14038, 20433, 38374, 3997, 15554, 236770, 236828, 528, 236743, 236778, 236771, 236778, 236771, 236764, 900, 236832, 528, 236743, 236778, 236771, 236778, 236800, 769, 138, 108, 236772, 5213, 12104, 2865, 137727, 66515, 138, 107, 138, 22186, 7974, 34554, 528, 506, 99763, 9785, 4841, 236772, 19458, 2630, 236761, 669, 107875, 236789, 236743, 236812, 22592, 48524, 183108, 568, 236778, 236771, 236778, 236771, 236964, 236778, 236771, 236778, 236800, 236768, 44423, 951, 18779, 236764, 1651, 506, 73634, 236789, 236743, 236778, 236771, 236778, 236770, 90715, 17607, 1845, 7474, 910, 58825, 48524, 1845, 528, 506, 1868, 236772, 222172, 6933, 236761, 138, 108, 1018, 30792, 66515, 138, 107, 818, 107875, 236789, 4803, 8570, 568, 236770, 236770, 236772, 236825, 528, 236743, 236778, 236771, 236778, 236800, 236768, 22136, 25084, 42392, 532, 81378, 11646, 236764, 1651, 506, 73634, 236789, 123135, 1208, 861, 1366, 35343, 568, 236778, 236771, 236778, 236800, 236768, 3831, 104761, 236761, 230726, 3997, 532, 25501, 25725, 795, 4547, 6054, 3402, 184820, 236761, 106, 107, 105, 2364, 107, 36161, 580, 506, 3527, 3671, 236764, 1451, 611, 33205, 506, 25501, 14906, 573, 1800, 7974, 1024, 506, 1638, 3493, 18046, 236764, 19541, 580, 3298, 6208, 810, 2290, 236764, 116097, 11724, 236764, 532, 4168, 236772, 3843, 14274, 6224, 236881, 564, 1461, 531, 65879, 1239, 19455, 607, 910, 48524, 3736, 15067, 531, 8701, 3435, 49679, 600, 1451, 7630, 3402, 184820, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236832, 236761, 236812, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236770, 236828, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 1083, 623, 236800, 236828, 236761, 236832, 171446, 623, 1555, 2865, 236779, 32677, 1083, 3714, 1555, 2865, 236779, 99693, 1083, 2416, 236764, 623, 76339, 1083, 236743, 236810, 236764, 623, 74718, 1083, 236743, 236770, 236770, 1263, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236770, 236761, 236828, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236770, 236810, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 1083, 623, 236812, 236771, 236761, 236800, 171446, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 23184, 1083, 623, 236778, 236771, 236778, 236771, 3409, 5012, 48524, 86776, 568, 235845, 13695, 9981, 23117, 769, 20687, 236772, 3843, 11356, 25847, 236743, 236770, 236778, 594, 528, 23532, 236761, 14132, 34106, 11724, 5012, 236743, 236770, 236770, 119484, 532, 236743, 236812, 170264, 124210, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 827, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236810, 236761, 236800, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236770, 236828, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 84621, 1083, 623, 236800, 236828, 171446, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 1555, 2865, 236779, 32677, 1083, 3714, 979, 236779, 172217, 1083, 623, 39678, 9981, 23117, 827, 623, 2063, 4410, 236779, 80061, 236779, 65831, 236779, 1555, 22313, 1083, 236743, 236770, 236810, 1263, 623, 85335, 236779, 28263, 1083, 3714, 11116, 236779, 36217, 236779, 21314, 236779, 1555, 2865, 236779, 15560, 1083, 623, 98458, 3298, 6208, 30446, 607, 6517, 10259, 827, 623, 887, 34106, 236779, 23461, 236779, 21314, 236779, 10934, 1083, 623, 166920, 4414, 14824, 607, 48524, 44949, 827, 623, 23362, 236779, 3843, 236779, 84621, 236779, 58043, 1083, 623, 121098, 236743, 236800, 7221, 1679, 20627, 528, 48524, 4972, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236778, 236761, 236812, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236778, 236828, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 1083, 623, 236800, 236828, 236761, 236832, 171446, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 1555, 2865, 236779, 12103, 1083, 3714, 44363, 236779, 6307, 236779, 979, 1083, 623, 19470, 236788, 827, 623, 1928, 43304, 236779, 979, 1083, 623, 236798, 236743, 236778, 236832, 236772, 236778, 236825, 827, 623, 82332, 236779, 574, 11476, 1083, 623, 236797, 236786, 236776, 23179, 623, 80043, 236779, 15080, 1013, 1083, 3714, 11116, 236779, 36217, 236779, 15080, 1083, 236743, 236770, 236812, 236764, 623, 887, 34106, 236779, 23461, 236779, 15080, 1083, 236743, 236800, 236764, 623, 23362, 236779, 3843, 236779, 84621, 236779, 15080, 1083, 236743, 236828, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 120365, 107875, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236778, 236761, 236810, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236770, 236828, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236800, 236828, 1263, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 80043, 1083, 623, 138522, 827, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236770, 236800, 236761, 236832, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236778, 236770, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 236779, 84621, 1083, 236743, 236800, 236778, 1263, 623, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 1555, 2865, 236779, 3709, 1083, 623, 235845, 17607, 9064, 827, 623, 23184, 1083, 623, 2100, 22136, 4841, 3409, 3736, 236761, 20687, 236772, 3843, 11356, 25847, 236743, 236778, 523, 528, 23532, 573, 236743, 236778, 236771, 236770, 236819, 3409, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 8556, 236779, 14992, 236779, 1201, 827, 623, 19458, 236779, 8572, 14255, 623, 29995, 1083, 3714, 3704, 1083, 623, 19049, 1051, 3847, 236764, 840, 3671, 7087, 496, 236743, 236810, 236772, 19458, 2644, 827, 623, 3917, 236779, 5000, 236779, 23251, 1083, 623, 4222, 4410, 19455, 1660, 4155, 236772, 5909, 20673, 531, 577, 15446, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236771, 236761, 236810, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236770, 236828, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 1083, 623, 236800, 236812, 236761, 236810, 171446, 623, 1555, 2865, 236779, 32677, 1083, 3714, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 979, 236779, 172217, 1083, 623, 235845, 17607, 827, 623, 85335, 236779, 28263, 1083, 3714, 11116, 236779, 36217, 236779, 21314, 236779, 1555, 2865, 236779, 10934, 1083, 623, 19503, 3298, 6208, 30446, 607, 19276, 48524, 8784, 827, 623, 887, 34106, 236779, 23461, 236779, 62580, 1083, 623, 98458, 38374, 5416, 528, 48524, 4972, 827, 623, 23362, 236779, 3843, 236779, 84621, 236779, 58043, 1083, 623, 121098, 4168, 236772, 3843, 20627, 528, 99763, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236778, 236761, 236800, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236770, 236828, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236812, 236770, 1263, 623, 1555, 2865, 236779, 32677, 1083, 3714, 1555, 2865, 236779, 99693, 1083, 1847, 236764, 623, 115457, 236779, 41979, 1083, 236743, 236770, 236764, 623, 47573, 169698, 1083, 11058, 19313, 1874, 1074, 2342, 1903, 236772, 43289, 132524, 827, 623, 495, 79030, 10929, 12606, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 4199, 7591, 73634, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 2063, 4410, 236779, 23251, 1083, 3714, 11116, 236779, 36217, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236812, 236761, 236810, 236764, 623, 887, 34106, 236779, 23461, 1083, 236743, 236770, 236828, 236764, 623, 23362, 236779, 3843, 236779, 69930, 236779, 4720, 1083, 623, 236800, 236828, 236761, 236778, 171446, 623, 1555, 2865, 236779, 32677, 1083, 3714, 1555, 2865, 236779, 99693, 1083, 2416, 236764, 623, 17789, 1083, 623, 236832, 236772, 236770, 236771, 827, 623, 2478, 236779, 47573, 169698, 1083, 11058, 894, 131836, 1074, 2342, 1903, 236772, 43289, 132524, 827, 623, 902, 79030, 10929, 12606, 152254, 623, 80043, 1083, 623, 138522, 827, 623, 53337, 236779, 2084, 1083, 623, 78304, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 25501, 3671, 30446, 607, 48524, 3736, 573, 1800, 7974, 568, 236778, 236771, 236770, 236819, 236964, 236778, 236771, 236778, 236800, 1473, 108, 7243, 108, 10354, 5213, 120365, 107875, 153119, 48993, 1018, 107, 236909, 8799, 1109, 593, 1412, 126229, 236786, 236823, 1109, 14132, 34106, 178745, 1109, 236743, 236800, 7221, 10237, 18698, 1109, 9274, 2865, 11130, 1109, 9533, 98964, 1109, 107, 236909, 33129, 236909, 44042, 236909, 2819, 726, 236909, 2819, 726, 236909, 2819, 236909, 43386, 236909, 107, 236909, 5213, 236778, 236771, 236770, 236819, 1018, 1109, 236743, 236778, 236832, 236761, 236812, 1109, 236743, 236770, 236828, 1109, 236743, 236800, 236828, 236761, 236832, 236908, 1109, 2301, 47598, 1109, 4819, 3298, 6208, 30446, 607, 1908, 236772, 1555, 2865, 9009, 236761, 1109, 107, 236909, 5213, 236778, 236771, 236778, 236771, 1018, 1109, 236743, 236778, 236770, 236761, 236828, 1109, 236743, 236770, 236810, 1109, 236743, 236812, 236771, 236761, 236800, 236908, 1109, 13695, 9981, 28374, 1109, 67045, 11356, 840, 34554, 580, 236743, 236800, 7221, 51469, 568, 236812, 236771, 236761, 236800, 236908, 578, 236743, 236770, 236778, 594, 236772, 103519, 528, 23532, 769, 1109, 107, 236909, 5213, 236778, 236771, 236778, 236770, 1018, 1109, 236743, 236778, 236810, 236761, 236800, 1109, 236743, 236770, 236828, 1109, 236743, 236800, 236828, 236761, 236771, 236908, 1109, 13695, 9981, 28374, 1109, 153365, 3298, 6208, 9785, 1638, 38374, 3136, 618, 236743, 236778, 236771, 236778, 236771, 236761, 1109, 107, 236909, 5213, 236778, 236771, 236778, 236778, 1018, 1109, 236743, 236778, 236778, 236761, 236812, 1109, 5213, 236778, 236828, 1018, 1109, 236743, 236800, 236828, 236761, 236832, 236908, 1109, 173489, 28374, 1109, 48120, 38374, 8299, 568, 236800, 7221, 528, 23532, 236768, 840, 236743, 236800, 7221, 236772, 3843, 11356, 54611, 774, 236761, 1109, 107, 236909, 5213, 236778, 236771, 236778, 236800, 1018, 1109, 236743, 236778, 236778, 236761, 236810, 1109, 236743, 236770, 236828, 1109, 236743, 236800, 236828, 236761, 236771, 236908, 1109, 13695, 9981, 28374, 1109, 108135, 3298, 6208, 840, 951, 11531, 528, 236743, 236800, 7221, 236772, 3843, 11356, 236761, 1109, 108, 1018, 60547, 169698, 66515, 138, 107, 236772, 5213, 236800, 7221, 236772, 8063, 18698, 66515, 15428, 25847, 2480, 1082, 236743, 236828, 594, 568, 236778, 236771, 236778, 236778, 236768, 532, 6208, 31445, 531, 7352, 657, 236743, 236800, 236828, 236964, 236812, 236771, 236908, 528, 784, 48524 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1938, 1003, 1041, 2434, 236789, 236751, 1873, 5699, 532, 3295, 531, 2480, 51808, 5405, 532, 37171, 21640, 27905, 5211, 236761, 3199, 611, 33205, 506, 4889, 573, 506, 623, 67122, 705, 35438, 10765, 236775, 1699, 506, 974, 14992, 5904, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 67122, 705, 35438, 10765, 827, 623, 14992, 236779, 40227, 1083, 623, 9231, 236761, 21516, 15416, 827, 623, 29552, 1083, 78493, 1201, 1083, 623, 26749, 11860, 827, 623, 10639, 1083, 623, 51551, 5774, 75281, 827, 623, 204830, 1083, 11058, 29472, 19180, 827, 623, 71398, 69280, 152254, 3714, 1201, 1083, 623, 236791, 63545, 63279, 827, 623, 10639, 1083, 623, 100244, 3520, 4979, 827, 623, 204830, 1083, 11058, 2100, 154377, 827, 623, 98680, 13768, 14255, 623, 658, 5227, 236779, 91180, 1083, 11058, 49789, 69280, 57939, 152254, 3714, 1201, 1083, 623, 29518, 11629, 827, 623, 10639, 1083, 623, 3620, 31016, 827, 623, 204830, 1083, 11058, 49321, 24569, 827, 623, 21723, 49598, 99471, 1604, 623, 4002, 236779, 26984, 1083, 78493, 6201, 236779, 1201, 1083, 623, 99078, 32180, 170500, 827, 623, 4818, 1083, 623, 902, 22583, 827, 623, 153930, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236800, 236771, 827, 623, 7777, 1083, 623, 106797, 45819, 4681, 573, 1440, 236772, 6061, 10022, 4652, 10834, 23179, 3714, 6201, 236779, 1201, 1083, 623, 19952, 119002, 35438, 827, 623, 4818, 1083, 623, 84460, 25348, 827, 623, 153930, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 7777, 1083, 623, 172042, 66478, 9935, 528, 8657, 10034, 25938, 1604, 623, 30559, 10993, 1083, 11058, 96579, 4652, 10885, 7248, 827, 623, 21048, 236772, 14992, 13859, 607, 8382, 25834, 827, 623, 26917, 580, 20222, 45819, 21379, 8403, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 506, 214936, 35438, 10765, 236787, 108, 1018, 18373, 23718, 1018, 107, 236772, 5213, 18373, 35024, 53121, 3587, 236761, 21516, 15416, 107, 236772, 5213, 31946, 53121, 107, 138, 236770, 236761, 8451, 11860, 568, 51551, 5774, 75281, 236768, 753, 145655, 236787, 15313, 19180, 236764, 32180, 69280, 107, 138, 236778, 236761, 212546, 63279, 568, 100244, 3520, 4979, 236768, 753, 145655, 236787, 5774, 154377, 236764, 44659, 13768, 568, 66078, 5227, 19704, 236787, 23703, 69280, 57939, 236768, 107, 138, 236800, 236761, 8972, 11629, 568, 3620, 31016, 236768, 753, 145655, 236787, 147420, 236764, 16215, 49598, 108, 1018, 8782, 37747, 1018, 107, 236770, 236761, 5213, 99078, 32180, 170500, 1018, 568, 6717, 236787, 799, 22583, 236764, 96798, 236787, 5110, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 139, 236772, 65273, 45819, 4681, 573, 1440, 236772, 6061, 10022, 4652, 10834, 108, 236778, 236761, 5213, 19952, 119002, 35438, 1018, 568, 6717, 236787, 22113, 25348, 236764, 96798, 236787, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 139, 236772, 183668, 66478, 9935, 528, 8657, 10034, 108, 1018, 3503, 28347, 10993, 1018, 107, 236772, 50292, 4652, 10885, 7248, 107, 236772, 12713, 236772, 14992, 13859, 607, 8382, 25834, 107, 236772, 6498, 580, 20222, 45819, 21379, 8403, 108, 2094, 3904, 3831, 212546, 63279, 1093, 7458, 1346, 699, 67981, 528, 9691, 21379, 8403, 236761, 669, 2434, 815, 6541, 573, 6511, 211052, 1534, 506, 1156, 5699, 236761, 21284, 611, 1133, 786, 531, 18840, 3530, 6511, 25519, 25521, 653, 3213, 4106, 573, 67981, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 3213, 580, 67981, 11298, 573, 212546, 63279, 236761, 3199, 611, 3600, 3530, 5405, 653, 4122, 19505, 600, 1093, 1601, 1668, 1116, 6130, 528, 9691, 21379, 8403, 236764, 6412, 528, 4106, 1133, 22823, 12230, 653, 70664, 21379, 236881, 3574, 692, 735, 1027, 6145, 5405, 653, 1374, 692, 1385, 657, 8398, 14175, 1133, 4672, 98863, 653, 1511, 236917, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6145, 4122, 112007, 653, 6511, 34438, 1343, 506, 1873, 5904, 1025, 236761, 3153, 236764, 1590, 236789, 236751, 496, 67722, 1694, 529, 8398, 5405, 532, 11298, 600, 8913, 607, 212546, 236789, 236751, 3548, 236787, 108, 1018, 212169, 19180, 13739, 53121, 107, 236770, 236761, 5213, 57054, 98863, 236787, 22267, 19180, 10624, 1854, 1018, 568, 51963, 11586, 236764, 22267, 46297, 236761, 12553, 236768, 107, 139, 236772, 30235, 580, 22823, 12230, 568, 46669, 236751, 236764, 140378, 236751, 236768, 532, 10231, 147420, 236786, 16251, 141210, 8688, 107, 139, 236772, 7879, 236772, 5140, 4735, 607, 1759, 236772, 12392, 32542, 108, 236778, 236761, 5213, 524, 236917, 236787, 70664, 26398, 236787, 4934, 18179, 531, 5774, 13768, 1018, 568, 30582, 529, 7151, 236768, 107, 139, 236772, 7989, 1353, 70664, 21379, 607, 15957, 532, 10231, 1624, 5254, 107, 139, 236772, 23703, 1500, 236772, 1048, 236787, 70664, 15313, 19180, 528, 17856, 568, 116241, 4950, 236768, 108, 236800, 236761, 5213, 36320, 7607, 27216, 60392, 568, 236825, 236761, 236828, 236825, 236832, 15313, 19180, 62902, 107, 139, 236772, 9617, 2802, 531, 70664, 21379, 36421, 532, 2608, 7093, 108, 1018, 23244, 1662, 18238, 53121, 107, 236772, 5213, 35243, 53121, 236743, 107, 138, 236772, 623, 23910, 77021, 532, 15313, 19180, 236775, 568, 126061, 236768, 573, 22823, 12230, 107, 138, 236772, 623, 27930, 33158, 5774, 13768, 236775, 568, 236823, 78441, 236768, 573, 9691, 85026, 21379, 107, 236772, 5213, 236855, 582, 7661, 25966, 2020, 53121, 236743, 107, 138, 236772, 195612, 5428, 607, 1759, 236772, 12392, 21379, 8991, 568, 101436, 236786, 209421, 12692, 16710, 236768, 107, 236772, 5213, 67665, 4150, 585, 30621, 53121, 236743, 107, 138, 236772, 12808, 623, 38557, 236772, 29047, 33158, 236775, 653, 623, 139356, 236772, 20746, 236772, 83357, 236775, 573, 67722, 3393, 8698, 108, 1018, 66078, 13628, 43645, 34428, 53121, 107, 236770, 236761, 58108, 212546, 607, 8451, 11860, 573, 16789, 3393, 10595, 532, 21379, 28023, 107, 236778, 236761, 55630, 1116, 531, 13024, 506, 32319, 32180, 170500, 2203, 573, 4916, 236772, 498, 2707, 107, 236800, 236761, 53399, 236743, 236778, 236772, 236800, 6468, 16789, 5268, 120393, 1699, 4592, 236761, 1389, 236789, 236751, 10231, 22823, 3707, 52379, 108, 1018, 46048, 33879, 53121, 107, 236772, 9187, 607, 70664, 21379, 568, 5576, 5467, 11955, 531, 93938, 706, 981, 236768, 1680, 22823, 12230, 107, 236772, 6890, 2625, 495, 1698, 3540, 1262, 568, 2543, 3211, 236779, 828, 236779, 66850, 236768, 573, 5428, 21379, 20958, 107, 236772, 27468, 2702, 65775, 32816, 531, 2434, 10319, 531, 58051, 4735, 108, 38786, 611, 1133, 786, 531, 1601, 2619, 496, 3530, 236743, 236800, 236772, 11283, 2913, 2731, 607, 71884, 236764, 653, 1374, 692, 3213, 580, 13258, 4916, 236772, 498, 5405, 1171, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2619, 496, 31044, 236743, 236800, 236772, 11283, 2913, 2731, 607, 3582, 71884, 236761, 7323, 30493, 672, 607, 236787, 236743, 236770, 236761, 5213, 97850, 131160, 1018, 573, 12889, 18256, 236743, 236778, 236761, 5213, 223062, 2203, 1018, 6035, 568, 236744, 236761, 236759, 1126, 14253, 8403, 531, 1023, 8657, 1262, 236768, 236743, 236800, 236761, 5213, 21048, 236772, 14992, 13859, 7760, 1018, 607, 506, 32319, 32180, 2434, 236743, 236812, 236761, 5213, 71653, 24481, 1018, 573, 8398, 3003, 2802, 6131, 236810, 236771, 236771, 2631, 236768, 3199, 611, 992, 5840, 3530, 2625, 495, 1698, 12669, 699, 506, 3211, 236779, 828, 236779, 66850, 5904, 600, 1093, 2847, 7798, 32542, 573, 36419, 70664, 21379, 580, 11713, 6868, 9935, 236881, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31044, 236743, 236800, 236772, 11283, 2913, 2731, 607, 13148, 5405, 236787, 108, 1018, 236791, 63545, 63279, 236743, 236800, 236772, 23403, 23703, 69280, 8236, 9620, 1018, 108, 1018, 47770, 236743, 236770, 236787, 70664, 90530, 568, 194445, 236743, 236770, 236772, 236812, 62902, 107, 236772, 5213, 97850, 7179, 11116, 53121, 107, 138, 236772, 13444, 236743, 236770, 236787, 117657, 236789, 14720, 7724, 900, 4487, 236786, 107764, 14988, 20958, 107, 138, 236772, 13444, 236743, 236778, 236787, 15957, 5192, 33413, 32611, 900, 44765, 4487, 8688, 107, 138, 236772, 13444, 236743, 236800, 236787, 587, 121513, 18756, 3393, 3540, 568, 81397, 1886, 7728, 139537, 236772, 202492, 1013, 236768, 107, 138, 236772, 13444, 236743, 236812, 236787, 31101, 126532, 2028, 18256, 580, 5498, 8657, 1262, 107, 236772, 5213, 19213, 53121, 107, 138, 236772, 31629, 58646, 236824, 70664, 26398, 568, 15370, 236768, 107, 138, 236772, 623, 98680, 176541, 15624, 236775, 36421, 568, 53824, 236768, 900, 34043, 28966, 107, 138, 236772, 609, 236812, 236819, 236787, 20148, 236761, 1389, 61286, 70664, 69280, 3003, 568, 51128, 25519, 236768, 108, 1018, 47770, 236743, 236778, 236787, 63295, 10981, 43645, 568, 194445, 236743, 236810, 236772, 236828, 62902, 107, 236772, 5213, 97850, 7179, 11116, 53121, 107, 138, 236772, 13444, 236743, 236810, 236787, 147420, 13217, 1702, 8319, 107, 138, 236772, 13444, 236743, 236825, 236787, 37861, 8688, 580, 22615, 4652, 32542, 107, 138, 236772, 13444, 236743, 236832, 236787, 140378, 3736, 9960, 607, 6672, 4681, 107, 138, 236772, 13444, 236743, 236828, 236787, 14297, 31517, 573, 52648, 12692, 528, 8657, 8787, 107, 236772, 5213, 19213, 53121, 107, 138, 236772, 4672, 98863, 236789, 236751, 22267, 19180, 10624, 1854, 6131, 236812, 236819, 236786, 11283, 236764, 236743, 236778, 236772, 11283, 23627, 578, 609, 236819, 236828, 236768, 107, 138, 236772, 6475, 2111, 596, 1255, 573, 39937, 2802, 6131, 236819, 236761, 236819, 236819, 236786, 11283, 236764, 2558, 609, 236800, 236771, 236768, 108, 1018, 47770, 236743, 236800, 236787, 6395, 11937, 50698, 568, 194445, 236743, 236819, 236772, 236770, 236778, 62902, 107, 236772, 5213, 8410, 33197, 53121, 107, 138, 236772, 8689, 70664, 16671, 3671, 2028, 44986, 4957, 5317, 66478, 107, 138, 236772, 41276, 16217, 2028, 26614, 6672, 14349, 21706, 607, 22823, 12230, 107, 138, 236772, 21721, 12396, 531, 8382, 25834, 532, 32319, 32180, 7974, 107, 138, 236772, 21685, 95655, 18922, 528, 34115, 20387, 107, 236772, 5213, 99078, 32180, 10765, 67653, 53121, 107, 138, 236772, 40502, 26241, 657, 32319, 32180, 170500, 2434, 13721, 107, 138, 236772, 211657, 531, 7606, 3759, 3671, 1159, 236772, 6201, 1699, 70664, 14604, 897, 236772, 96788, 4681, 107, 138, 236772, 28338, 18669, 580, 10022, 4652, 1262, 44751, 568, 27962, 236743, 236770, 236771, 236768, 108, 1018, 71653, 93784, 6131, 236812, 236819, 236819, 12613, 1473, 1018, 107, 236772, 4672, 98863, 22267, 19180, 236787, 609, 236819, 236828, 107, 236772, 20148, 236761, 1389, 70664, 24435, 236787, 609, 236812, 236819, 107, 236772, 2111, 596, 1255, 236787, 609, 236800, 236771, 107, 236772, 16215, 83582, 236787, 609, 236778, 236771, 236771, 568, 55205, 236786, 236823, 7618, 26657, 573, 2028, 4122, 236768, 107, 236772, 20980, 568, 236744, 236772, 77786, 1473, 609, 236770, 236778, 236778, 568, 126061, 236789, 236751, 22526, 77021, 900, 30063, 1562, 236789, 236751, 70664, 5774, 13768, 236768, 108, 1018, 5778, 495, 7303, 51552, 573, 70664, 25761, 53121, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66850, 1083, 78493, 5930, 236779, 547, 1083, 623, 236757, 236778, 236778, 236771, 236778, 236778, 236828, 236810, 236812, 236828, 236812, 236770, 827, 623, 57217, 1083, 623, 812, 236778, 236778, 236771, 236778, 236778, 236828, 236810, 236812, 236828, 236812, 236770, 236832, 236825, 236832, 236810, 236770, 827, 623, 19859, 1083, 623, 501, 827, 623, 10618, 236779, 547, 1083, 623, 236770, 236832, 236778, 236832, 827, 623, 2364, 236779, 66850, 1083, 78493, 2364, 1083, 623, 2887, 236770, 236778, 236800, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 13486, 1083, 623, 20418, 4691, 532, 9650, 9130, 236761, 26079, 573, 70664, 21379, 3671, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 623, 2887, 236812, 236810, 236825, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 60881, 1698, 573, 16319, 11713, 6868, 9935, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236812, 236774, 236770, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 6011, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236778, 236764, 623, 3991, 236779, 41427, 1083, 11058, 31704, 827, 623, 5791, 827, 623, 28263, 827, 623, 59820, 1935, 1807, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 2625, 495, 1698, 1938, 532, 15297, 15136, 573, 70664, 21379, 5428, 236787, 108, 1018, 75652, 2625, 495, 7303, 23223, 53121, 107, 236772, 5213, 12962, 5853, 236743, 236770, 236832, 236778, 236832, 1018, 568, 2046, 49718, 753, 40733, 236751, 236768, 107, 236772, 5213, 19469, 7303, 53121, 520, 236778, 236778, 236771, 236778, 236778, 236828, 236810, 236812, 236828, 236812, 236770, 6791, 40169, 236789, 236751, 4819, 236772, 75939, 617, 113536, 108445, 1373, 107, 236772, 5213, 21550, 5774, 53121, 236743, 107, 138, 236772, 14040, 4398, 14470, 236787, 236743, 236812, 236761, 236810, 236786, 236810, 568, 5140, 580, 236743, 236778, 10595, 236768, 107, 138, 236772, 9533, 4065, 6950, 236787, 5931, 568, 236770, 236771, 236771, 28585, 4691, 568, 236770, 236771, 236771, 28585, 3671, 86338, 568, 236810, 236771, 11376, 107, 138, 236772, 31278, 10595, 4928, 623, 54133, 573, 70664, 21379, 3671, 236775, 532, 623, 60881, 1698, 573, 16319, 11713, 6868, 9935, 236775, 108, 1018, 75652, 25761, 50375, 121957, 53121, 107, 236770, 236761, 5213, 100367, 51552, 53121, 107, 139, 236772, 13953, 5853, 236743, 236770, 236832, 236778, 236825, 568, 236774, 3667, 236786, 228375, 236768, 573, 28594, 21186, 3759, 3671, 107, 139, 236772, 13953, 5853, 236743, 236770, 236832, 236778, 236828, 568, 236796, 34372, 236768, 573, 3385, 42178, 21379, 107, 139, 236772, 13953, 5853, 236743, 236770, 236832, 236800, 236771, 568, 229900, 236768, 573, 2425, 236772, 10619, 994, 9948, 3671, 108, 236778, 236761, 5213, 27930, 33158, 69280, 24802, 53121, 107, 139, 236772, 76606, 2425, 25809, 10634, 1699, 63960, 4681, 107, 139, 236772, 121353, 10969, 21186, 22195, 607, 17864, 70664, 4681, 107, 139, 236772, 9483, 994, 9948, 1699, 17673, 236772, 178939, 21055, 107, 139, 236772, 74544, 5056, 42178, 607, 70664, 13718, 990, 3605, 108, 1018, 51692, 9620, 50698, 24118, 53121, 107, 236770, 236761, 5213, 97850, 7179, 11116, 53121, 236743, 107, 139, 236772, 6890, 2625, 495, 1698, 1262, 573, 5695, 236743, 236800, 236772, 236812, 63960, 2028, 18256, 107, 139, 236772, 21174, 3539, 32542, 573, 5695, 236743, 236832, 236772, 236828, 140378, 18256, 108, 236778, 236761, 5213, 223062, 7879, 53121, 107, 139, 236772, 70535, 2625, 495, 11713, 6868, 9935, 607, 8657, 1262, 107, 139, 236772, 6890, 32319, 32180, 2434, 236789, 236751, 7606, 1262, 573, 8398, 5415, 3671, 107, 139, 236772, 21721, 14413, 236772, 4925, 2748, 236787, 11713, 6868, 900, 8657, 4652, 21379, 108, 236800, 236761, 5213, 71653, 62840, 53121, 107, 139, 236772, 22282, 77372, 4672, 98863, 2802, 573, 7157, 22823, 3707, 13916, 107, 139, 236772, 6890, 31629, 58646, 236824, 532, 30063, 1562, 236789, 236751, 2196, 5405, 573, 70664, 6073, 107, 139, 236772, 168875, 609, 236778, 236771, 236771, 6425, 26657, 573, 2028, 4122, 607, 2455, 32542, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 43550, 496, 9813, 34315, 607, 3530, 14069, 573, 1546, 61077, 236881, 107, 236778, 236761, 8600, 18649, 32542, 2721, 580, 506, 2625, 495, 1698, 10595, 573, 13258, 5428, 236881, 107, 236800, 236761, 84567, 506, 1670, 11937, 6035, 607, 3530, 8657, 1262, 12434, 8698, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1938, 1003, 1041, 2434, 236789, 236751, 1873, 5699, 532, 3295, 531, 2480, 51808, 5405, 532, 37171, 21640, 27905, 5211, 236761, 3199, 611, 33205, 506, 4889, 573, 506, 623, 67122, 705, 35438, 10765, 236775, 1699, 506, 974, 14992, 5904, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14992, 236779, 1201, 1083, 623, 67122, 705, 35438, 10765, 827, 623, 14992, 236779, 40227, 1083, 623, 9231, 236761, 21516, 15416, 827, 623, 29552, 1083, 78493, 1201, 1083, 623, 26749, 11860, 827, 623, 10639, 1083, 623, 51551, 5774, 75281, 827, 623, 204830, 1083, 11058, 29472, 19180, 827, 623, 71398, 69280, 152254, 3714, 1201, 1083, 623, 236791, 63545, 63279, 827, 623, 10639, 1083, 623, 100244, 3520, 4979, 827, 623, 204830, 1083, 11058, 2100, 154377, 827, 623, 98680, 13768, 14255, 623, 658, 5227, 236779, 91180, 1083, 11058, 49789, 69280, 57939, 152254, 3714, 1201, 1083, 623, 29518, 11629, 827, 623, 10639, 1083, 623, 3620, 31016, 827, 623, 204830, 1083, 11058, 49321, 24569, 827, 623, 21723, 49598, 99471, 1604, 623, 4002, 236779, 26984, 1083, 78493, 6201, 236779, 1201, 1083, 623, 99078, 32180, 170500, 827, 623, 4818, 1083, 623, 902, 22583, 827, 623, 153930, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236819, 236772, 236800, 236771, 827, 623, 7777, 1083, 623, 106797, 45819, 4681, 573, 1440, 236772, 6061, 10022, 4652, 10834, 23179, 3714, 6201, 236779, 1201, 1083, 623, 19952, 119002, 35438, 827, 623, 4818, 1083, 623, 84460, 25348, 827, 623, 153930, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 7777, 1083, 623, 172042, 66478, 9935, 528, 8657, 10034, 25938, 1604, 623, 30559, 10993, 1083, 11058, 96579, 4652, 10885, 7248, 827, 623, 21048, 236772, 14992, 13859, 607, 8382, 25834, 827, 623, 26917, 580, 20222, 45819, 21379, 8403, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 506, 214936, 35438, 10765, 236787, 108, 1018, 18373, 23718, 1018, 107, 236772, 5213, 18373, 35024, 53121, 3587, 236761, 21516, 15416, 107, 236772, 5213, 31946, 53121, 107, 138, 236770, 236761, 8451, 11860, 568, 51551, 5774, 75281, 236768, 753, 145655, 236787, 15313, 19180, 236764, 32180, 69280, 107, 138, 236778, 236761, 212546, 63279, 568, 100244, 3520, 4979, 236768, 753, 145655, 236787, 5774, 154377, 236764, 44659, 13768, 568, 66078, 5227, 19704, 236787, 23703, 69280, 57939, 236768, 107, 138, 236800, 236761, 8972, 11629, 568, 3620, 31016, 236768, 753, 145655, 236787, 147420, 236764, 16215, 49598, 108, 1018, 8782, 37747, 1018, 107, 236770, 236761, 5213, 99078, 32180, 170500, 1018, 568, 6717, 236787, 799, 22583, 236764, 96798, 236787, 5110, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 139, 236772, 65273, 45819, 4681, 573, 1440, 236772, 6061, 10022, 4652, 10834, 108, 236778, 236761, 5213, 19952, 119002, 35438, 1018, 568, 6717, 236787, 22113, 25348, 236764, 96798, 236787, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 107, 139, 236772, 183668, 66478, 9935, 528, 8657, 10034, 108, 1018, 3503, 28347, 10993, 1018, 107, 236772, 50292, 4652, 10885, 7248, 107, 236772, 12713, 236772, 14992, 13859, 607, 8382, 25834, 107, 236772, 6498, 580, 20222, 45819, 21379, 8403, 108, 2094, 3904, 3831, 212546, 63279, 1093, 7458, 1346, 699, 67981, 528, 9691, 21379, 8403, 236761, 669, 2434, 815, 6541, 573, 6511, 211052, 1534, 506, 1156, 5699, 236761, 21284, 611, 1133, 786, 531, 18840, 3530, 6511, 25519, 25521, 653, 3213, 4106, 573, 67981, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 3213, 580, 67981, 11298, 573, 212546, 63279, 236761, 3199, 611, 3600, 3530, 5405, 653, 4122, 19505, 600, 1093, 1601, 1668, 1116, 6130, 528, 9691, 21379, 8403, 236764, 6412, 528, 4106, 1133, 22823, 12230, 653, 70664, 21379, 236881, 3574, 692, 735, 1027, 6145, 5405, 653, 1374, 692, 1385, 657, 8398, 14175, 1133, 4672, 98863, 653, 1511, 236917, 236881, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 6145, 4122, 112007, 653, 6511, 34438, 1343, 506, 1873, 5904, 1025, 236761, 3153, 236764, 1590, 236789, 236751, 496, 67722, 1694, 529, 8398, 5405, 532, 11298, 600, 8913, 607, 212546, 236789, 236751, 3548, 236787, 108, 1018, 212169, 19180, 13739, 53121, 107, 236770, 236761, 5213, 57054, 98863, 236787, 22267, 19180, 10624, 1854, 1018, 568, 51963, 11586, 236764, 22267, 46297, 236761, 12553, 236768, 107, 139, 236772, 30235, 580, 22823, 12230, 568, 46669, 236751, 236764, 140378, 236751, 236768, 532, 10231, 147420, 236786, 16251, 141210, 8688, 107, 139, 236772, 7879, 236772, 5140, 4735, 607, 1759, 236772, 12392, 32542, 108, 236778, 236761, 5213, 524, 236917, 236787, 70664, 26398, 236787, 4934, 18179, 531, 5774, 13768, 1018, 568, 30582, 529, 7151, 236768, 107, 139, 236772, 7989, 1353, 70664, 21379, 607, 15957, 532, 10231, 1624, 5254, 107, 139, 236772, 23703, 1500, 236772, 1048, 236787, 70664, 15313, 19180, 528, 17856, 568, 116241, 4950, 236768, 108, 236800, 236761, 5213, 36320, 7607, 27216, 60392, 568, 236825, 236761, 236828, 236825, 236832, 15313, 19180, 62902, 107, 139, 236772, 9617, 2802, 531, 70664, 21379, 36421, 532, 2608, 7093, 108, 1018, 23244, 1662, 18238, 53121, 107, 236772, 5213, 35243, 53121, 236743, 107, 138, 236772, 623, 23910, 77021, 532, 15313, 19180, 236775, 568, 126061, 236768, 573, 22823, 12230, 107, 138, 236772, 623, 27930, 33158, 5774, 13768, 236775, 568, 236823, 78441, 236768, 573, 9691, 85026, 21379, 107, 236772, 5213, 236855, 582, 7661, 25966, 2020, 53121, 236743, 107, 138, 236772, 195612, 5428, 607, 1759, 236772, 12392, 21379, 8991, 568, 101436, 236786, 209421, 12692, 16710, 236768, 107, 236772, 5213, 67665, 4150, 585, 30621, 53121, 236743, 107, 138, 236772, 12808, 623, 38557, 236772, 29047, 33158, 236775, 653, 623, 139356, 236772, 20746, 236772, 83357, 236775, 573, 67722, 3393, 8698, 108, 1018, 66078, 13628, 43645, 34428, 53121, 107, 236770, 236761, 58108, 212546, 607, 8451, 11860, 573, 16789, 3393, 10595, 532, 21379, 28023, 107, 236778, 236761, 55630, 1116, 531, 13024, 506, 32319, 32180, 170500, 2203, 573, 4916, 236772, 498, 2707, 107, 236800, 236761, 53399, 236743, 236778, 236772, 236800, 6468, 16789, 5268, 120393, 1699, 4592, 236761, 1389, 236789, 236751, 10231, 22823, 3707, 52379, 108, 1018, 46048, 33879, 53121, 107, 236772, 9187, 607, 70664, 21379, 568, 5576, 5467, 11955, 531, 93938, 706, 981, 236768, 1680, 22823, 12230, 107, 236772, 6890, 2625, 495, 1698, 3540, 1262, 568, 2543, 3211, 236779, 828, 236779, 66850, 236768, 573, 5428, 21379, 20958, 107, 236772, 27468, 2702, 65775, 32816, 531, 2434, 10319, 531, 58051, 4735, 108, 38786, 611, 1133, 786, 531, 1601, 2619, 496, 3530, 236743, 236800, 236772, 11283, 2913, 2731, 607, 71884, 236764, 653, 1374, 692, 3213, 580, 13258, 4916, 236772, 498, 5405, 1171, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2619, 496, 31044, 236743, 236800, 236772, 11283, 2913, 2731, 607, 3582, 71884, 236761, 7323, 30493, 672, 607, 236787, 236743, 236770, 236761, 5213, 97850, 131160, 1018, 573, 12889, 18256, 236743, 236778, 236761, 5213, 223062, 2203, 1018, 6035, 568, 236744, 236761, 236759, 1126, 14253, 8403, 531, 1023, 8657, 1262, 236768, 236743, 236800, 236761, 5213, 21048, 236772, 14992, 13859, 7760, 1018, 607, 506, 32319, 32180, 2434, 236743, 236812, 236761, 5213, 71653, 24481, 1018, 573, 8398, 3003, 2802, 6131, 236810, 236771, 236771, 2631, 236768, 3199, 611, 992, 5840, 3530, 2625, 495, 1698, 12669, 699, 506, 3211, 236779, 828, 236779, 66850, 5904, 600, 1093, 2847, 7798, 32542, 573, 36419, 70664, 21379, 580, 11713, 6868, 9935, 236881, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31044, 236743, 236800, 236772, 11283, 2913, 2731, 607, 13148, 5405, 236787, 108, 1018, 236791, 63545, 63279, 236743, 236800, 236772, 23403, 23703, 69280, 8236, 9620, 1018, 108, 1018, 47770, 236743, 236770, 236787, 70664, 90530, 568, 194445, 236743, 236770, 236772, 236812, 62902, 107, 236772, 5213, 97850, 7179, 11116, 53121, 107, 138, 236772, 13444, 236743, 236770, 236787, 117657, 236789, 14720, 7724, 900, 4487, 236786, 107764, 14988, 20958, 107, 138, 236772, 13444, 236743, 236778, 236787, 15957, 5192, 33413, 32611, 900, 44765, 4487, 8688, 107, 138, 236772, 13444, 236743, 236800, 236787, 587, 121513, 18756, 3393, 3540, 568, 81397, 1886, 7728, 139537, 236772, 202492, 1013, 236768, 107, 138, 236772, 13444, 236743, 236812, 236787, 31101, 126532, 2028, 18256, 580, 5498, 8657, 1262, 107, 236772, 5213, 19213, 53121, 107, 138, 236772, 31629, 58646, 236824, 70664, 26398, 568, 15370, 236768, 107, 138, 236772, 623, 98680, 176541, 15624, 236775, 36421, 568, 53824, 236768, 900, 34043, 28966, 107, 138, 236772, 609, 236812, 236819, 236787, 20148, 236761, 1389, 61286, 70664, 69280, 3003, 568, 51128, 25519, 236768, 108, 1018, 47770, 236743, 236778, 236787, 63295, 10981, 43645, 568, 194445, 236743, 236810, 236772, 236828, 62902, 107, 236772, 5213, 97850, 7179, 11116, 53121, 107, 138, 236772, 13444, 236743, 236810, 236787, 147420, 13217, 1702, 8319, 107, 138, 236772, 13444, 236743, 236825, 236787, 37861, 8688, 580, 22615, 4652, 32542, 107, 138, 236772, 13444, 236743, 236832, 236787, 140378, 3736, 9960, 607, 6672, 4681, 107, 138, 236772, 13444, 236743, 236828, 236787, 14297, 31517, 573, 52648, 12692, 528, 8657, 8787, 107, 236772, 5213, 19213, 53121, 107, 138, 236772, 4672, 98863, 236789, 236751, 22267, 19180, 10624, 1854, 6131, 236812, 236819, 236786, 11283, 236764, 236743, 236778, 236772, 11283, 23627, 578, 609, 236819, 236828, 236768, 107, 138, 236772, 6475, 2111, 596, 1255, 573, 39937, 2802, 6131, 236819, 236761, 236819, 236819, 236786, 11283, 236764, 2558, 609, 236800, 236771, 236768, 108, 1018, 47770, 236743, 236800, 236787, 6395, 11937, 50698, 568, 194445, 236743, 236819, 236772, 236770, 236778, 62902, 107, 236772, 5213, 8410, 33197, 53121, 107, 138, 236772, 8689, 70664, 16671, 3671, 2028, 44986, 4957, 5317, 66478, 107, 138, 236772, 41276, 16217, 2028, 26614, 6672, 14349, 21706, 607, 22823, 12230, 107, 138, 236772, 21721, 12396, 531, 8382, 25834, 532, 32319, 32180, 7974, 107, 138, 236772, 21685, 95655, 18922, 528, 34115, 20387, 107, 236772, 5213, 99078, 32180, 10765, 67653, 53121, 107, 138, 236772, 40502, 26241, 657, 32319, 32180, 170500, 2434, 13721, 107, 138, 236772, 211657, 531, 7606, 3759, 3671, 1159, 236772, 6201, 1699, 70664, 14604, 897, 236772, 96788, 4681, 107, 138, 236772, 28338, 18669, 580, 10022, 4652, 1262, 44751, 568, 27962, 236743, 236770, 236771, 236768, 108, 1018, 71653, 93784, 6131, 236812, 236819, 236819, 12613, 1473, 1018, 107, 236772, 4672, 98863, 22267, 19180, 236787, 609, 236819, 236828, 107, 236772, 20148, 236761, 1389, 70664, 24435, 236787, 609, 236812, 236819, 107, 236772, 2111, 596, 1255, 236787, 609, 236800, 236771, 107, 236772, 16215, 83582, 236787, 609, 236778, 236771, 236771, 568, 55205, 236786, 236823, 7618, 26657, 573, 2028, 4122, 236768, 107, 236772, 20980, 568, 236744, 236772, 77786, 1473, 609, 236770, 236778, 236778, 568, 126061, 236789, 236751, 22526, 77021, 900, 30063, 1562, 236789, 236751, 70664, 5774, 13768, 236768, 108, 1018, 5778, 495, 7303, 51552, 573, 70664, 25761, 53121, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66850, 1083, 78493, 5930, 236779, 547, 1083, 623, 236757, 236778, 236778, 236771, 236778, 236778, 236828, 236810, 236812, 236828, 236812, 236770, 827, 623, 57217, 1083, 623, 812, 236778, 236778, 236771, 236778, 236778, 236828, 236810, 236812, 236828, 236812, 236770, 236832, 236825, 236832, 236810, 236770, 827, 623, 19859, 1083, 623, 501, 827, 623, 10618, 236779, 547, 1083, 623, 236770, 236832, 236778, 236832, 827, 623, 2364, 236779, 66850, 1083, 78493, 2364, 1083, 623, 2887, 236770, 236778, 236800, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 13486, 1083, 623, 20418, 4691, 532, 9650, 9130, 236761, 26079, 573, 70664, 21379, 3671, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2364, 1083, 623, 2887, 236812, 236810, 236825, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 13486, 1083, 623, 60881, 1698, 573, 16319, 11713, 6868, 9935, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236812, 236774, 236770, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 6011, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236778, 236764, 623, 3991, 236779, 41427, 1083, 11058, 31704, 827, 623, 5791, 827, 623, 28263, 827, 623, 59820, 1935, 1807, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 2625, 495, 1698, 1938, 532, 15297, 15136, 573, 70664, 21379, 5428, 236787, 108, 1018, 75652, 2625, 495, 7303, 23223, 53121, 107, 236772, 5213, 12962, 5853, 236743, 236770, 236832, 236778, 236832, 1018, 568, 2046, 49718, 753, 40733, 236751, 236768, 107, 236772, 5213, 19469, 7303, 53121, 520, 236778, 236778, 236771, 236778, 236778, 236828, 236810, 236812, 236828, 236812, 236770, 6791, 40169, 236789, 236751, 4819, 236772, 75939, 617, 113536, 108445, 1373, 107, 236772, 5213, 21550, 5774, 53121, 236743, 107, 138, 236772, 14040, 4398, 14470, 236787, 236743, 236812, 236761, 236810, 236786, 236810, 568, 5140, 580, 236743, 236778, 10595, 236768, 107, 138, 236772, 9533, 4065, 6950, 236787, 5931, 568, 236770, 236771, 236771, 28585, 4691, 568, 236770, 236771, 236771, 28585, 3671, 86338, 568, 236810, 236771, 11376, 107, 138, 236772, 31278, 10595, 4928, 623, 54133, 573, 70664, 21379, 3671, 236775, 532, 623, 60881, 1698, 573, 16319, 11713, 6868, 9935, 236775, 108, 1018, 75652, 25761, 50375, 121957, 53121, 107, 236770, 236761, 5213, 100367, 51552, 53121, 107, 139, 236772, 13953, 5853, 236743, 236770, 236832, 236778, 236825, 568, 236774, 3667, 236786, 228375, 236768, 573, 28594, 21186, 3759, 3671, 107, 139, 236772, 13953, 5853, 236743, 236770, 236832, 236778, 236828, 568, 236796, 34372, 236768, 573, 3385, 42178, 21379, 107, 139, 236772, 13953, 5853, 236743, 236770, 236832, 236800, 236771, 568, 229900, 236768, 573, 2425, 236772, 10619, 994, 9948, 3671, 108, 236778, 236761, 5213, 27930, 33158, 69280, 24802, 53121, 107, 139, 236772, 76606, 2425, 25809, 10634, 1699, 63960, 4681, 107, 139, 236772, 121353, 10969, 21186, 22195, 607, 17864, 70664, 4681, 107, 139, 236772, 9483, 994, 9948, 1699, 17673, 236772, 178939, 21055, 107, 139, 236772, 74544, 5056, 42178, 607, 70664, 13718, 990, 3605, 108, 1018, 51692, 9620, 50698, 24118, 53121, 107, 236770, 236761, 5213, 97850, 7179, 11116, 53121, 236743, 107, 139, 236772, 6890, 2625, 495, 1698, 1262, 573, 5695, 236743, 236800, 236772, 236812, 63960, 2028, 18256, 107, 139, 236772, 21174, 3539, 32542, 573, 5695, 236743, 236832, 236772, 236828, 140378, 18256, 108, 236778, 236761, 5213, 223062, 7879, 53121, 107, 139, 236772, 70535, 2625, 495, 11713, 6868, 9935, 607, 8657, 1262, 107, 139, 236772, 6890, 32319, 32180, 2434, 236789, 236751, 7606, 1262, 573, 8398, 5415, 3671, 107, 139, 236772, 21721, 14413, 236772, 4925, 2748, 236787, 11713, 6868, 900, 8657, 4652, 21379, 108, 236800, 236761, 5213, 71653, 62840, 53121, 107, 139, 236772, 22282, 77372, 4672, 98863, 2802, 573, 7157, 22823, 3707, 13916, 107, 139, 236772, 6890, 31629, 58646, 236824, 532, 30063, 1562, 236789, 236751, 2196, 5405, 573, 70664, 6073, 107, 139, 236772, 168875, 609, 236778, 236771, 236771, 6425, 26657, 573, 2028, 4122, 607, 2455, 32542, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 43550, 496, 9813, 34315, 607, 3530, 14069, 573, 1546, 61077, 236881, 107, 236778, 236761, 8600, 18649, 32542, 2721, 580, 506, 2625, 495, 1698, 10595, 573, 13258, 5428, 236881, 107, 236800, 236761, 84567, 506, 1670, 11937, 6035, 607, 3530, 8657, 1262, 12434, 8698, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3048, 659, 496, 5368, 19788, 3182, 573, 110315, 5368, 600, 4728, 1800, 3393, 3540, 532, 3567, 2256, 4065, 236761, 2088, 740, 611, 1161, 506, 756, 50581, 236779, 9301, 236789, 1292, 531, 1586, 1288, 5368, 236881, 106, 107, 105, 4368, 107, 818, 756, 50581, 236779, 9301, 236789, 1292, 563, 711, 2487, 528, 506, 6436, 3847, 531, 786, 236761, 564, 1186, 735, 2802, 531, 506, 756, 24733, 236779, 2451, 236779, 1071, 236779, 3304, 236789, 5904, 573, 35322, 60973, 531, 4876, 236761, 2282, 1586, 110315, 5368, 607, 3393, 3540, 532, 3567, 2256, 4065, 236764, 611, 1093, 1202, 496, 1607, 5904, 653, 7948, 7609, 20478, 236764, 837, 563, 711, 5633, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 3048, 659, 496, 5368, 19788, 3182, 573, 110315, 5368, 600, 4728, 1800, 3393, 3540, 532, 3567, 2256, 4065, 236761, 2088, 740, 611, 1161, 506, 756, 50581, 236779, 9301, 236789, 1292, 531, 1586, 1288, 5368, 236881, 106, 107, 105, 4368, 107, 818, 756, 50581, 236779, 9301, 236789, 1292, 563, 711, 2487, 528, 506, 6436, 3847, 531, 786, 236761, 564, 1186, 735, 2802, 531, 506, 756, 24733, 236779, 2451, 236779, 1071, 236779, 3304, 236789, 5904, 573, 35322, 60973, 531, 4876, 236761, 2282, 1586, 110315, 5368, 607, 3393, 3540, 532, 3567, 2256, 4065, 236764, 611, 1093, 1202, 496, 1607, 5904, 653, 7948, 7609, 20478, 236764, 837, 563, 711, 5633, 2487, 236761, 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, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 24121, 496, 19406, 236761, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 1977, 10400, 653, 12740, 607, 8398, 3019, 1133, 19406, 8341, 236761, 3153, 236764, 768, 611, 1202, 1601, 31236, 496, 6508, 573, 822, 19406, 1900, 236764, 564, 236789, 236753, 577, 5293, 531, 6361, 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, 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, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 6361, 607, 24121, 496, 19406, 236761, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 1977, 10400, 653, 12740, 607, 8398, 3019, 1133, 19406, 8341, 236761, 3153, 236764, 768, 611, 1202, 1601, 31236, 496, 6508, 573, 822, 19406, 1900, 236764, 564, 236789, 236753, 577, 5293, 531, 6361, 607, 600, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236858, 236757, 35447, 496, 21811, 7972, 4469, 2760, 999, 3508, 2581, 4933, 833, 56515, 1013, 19871, 10990, 236743, 236778, 236771, 236778, 236812, 236919, 532, 1202, 1601, 607, 1806, 2432, 236787, 236743, 236770, 236761, 5213, 6845, 768, 506, 2460, 1463, 563, 496, 142193, 1018, 568, 796, 5227, 9952, 236764, 88078, 236764, 532, 1624, 236768, 573, 496, 2317, 8052, 528, 506, 42527, 61381, 236761, 236743, 236778, 236761, 5213, 11823, 60194, 118252, 532, 2263, 9975, 35900, 49115, 16746, 1018, 531, 11723, 506, 2460, 580, 2777, 4009, 236761, 236743, 236800, 236761, 5213, 15617, 496, 1816, 32272, 531, 236743, 236770, 236771, 21736, 1018, 607, 506, 2460, 4889, 236787, 999, 8993, 236858, 236745, 10849, 506, 7972, 4469, 10884, 657, 236743, 236828, 8151, 16922, 236888, 42641, 28764, 532, 1813, 22727, 1827, 77362, 5154, 4945, 659, 236787, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236778, 236800, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236812, 236810, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236825, 236832, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236828, 236819, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236771, 236770, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236778, 236800, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236812, 236810, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236825, 236832, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236828, 236819, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236800, 236771, 236770, 236761, 3199, 611, 6060, 784, 1806, 9395, 657, 3622, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 227147, 1083, 2416, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 32708, 197976, 105411, 832, 827, 13659, 105411, 3999, 19033, 236778, 236771, 236778, 236812, 827, 13659, 5820, 665, 115232, 39266, 827, 13659, 3508, 2581, 4933, 3133, 118013, 1013, 827, 13659, 13149, 105411, 3999, 125094, 14255, 623, 6047, 236779, 35105, 1083, 11058, 32708, 35900, 143115, 19871, 827, 623, 150854, 4556, 153556, 827, 623, 818, 19871, 6022, 657, 7086, 106121, 827, 623, 236773, 128489, 18338, 26762, 36667, 827, 623, 32708, 35900, 11493, 19871, 10981, 14255, 623, 2305, 236779, 3278, 1083, 623, 32708, 35900, 49115, 827, 623, 3709, 236779, 2861, 1083, 236743, 236810, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 13308, 1083, 3714, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236778, 236800, 827, 623, 4375, 1083, 623, 8993, 236785, 236756, 236778, 236771, 236770, 236819, 236745, 10849, 506, 7972, 4469, 10884, 657, 236743, 236828, 8151, 16922, 236888, 42641, 28764, 532, 1813, 22727, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 15266, 827, 623, 4375, 236779, 547, 1083, 623, 179190, 236772, 236832, 236828, 236819, 236812, 236810, 236825, 236770, 236778, 236800, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236812, 236810, 827, 623, 81907, 236779, 4818, 1083, 623, 189167, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236825, 236832, 827, 623, 4375, 236779, 547, 1083, 623, 179190, 236779, 236778, 236771, 236778, 236812, 236779, 8017, 44212, 4206, 236779, 236832, 236828, 236819, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236812, 236810, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236828, 236819, 827, 623, 4375, 236779, 35432, 1083, 623, 8993, 236785, 236756, 236778, 236771, 236770, 236819, 236745, 10849, 506, 7972, 4469, 10884, 657, 236743, 236828, 8151, 16922, 236888, 42641, 28764, 532, 1813, 22727, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236778, 236778, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236771, 236770, 827, 623, 4375, 1083, 623, 8993, 236785, 236756, 236778, 236771, 236770, 236819, 236745, 10849, 506, 7972, 4469, 10884, 657, 236743, 236828, 8151, 16922, 236888, 42641, 28764, 532, 1813, 22727, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 179190, 236778, 236771, 236778, 236812, 236771, 236825, 236778, 236771, 8017, 44212, 4206, 827, 623, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236778, 236800, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236832, 236787, 236770, 236810, 236787, 236800, 236778, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4375, 236779, 547, 1083, 623, 179190, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236778, 236771, 236772, 236828, 1936, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236812, 236810, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 44397, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236825, 236832, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4375, 236779, 547, 1083, 623, 179190, 236832, 236828, 236819, 236812, 236810, 236825, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236828, 236819, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 179190, 236779, 236778, 236771, 236778, 236812, 236779, 236771, 236825, 236778, 236771, 827, 623, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236800, 236771, 236770, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236778, 236778, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 25938, 106, 107, 105, 4368, 107, 10354, 12883, 236743, 236770, 236787, 6203, 72731, 7179, 138, 107, 1018, 4116, 53121, 669, 2460, 1463, 5213, 236913, 3508, 2581, 4933, 833, 56515, 1013, 19871, 10990, 236743, 236778, 236771, 236778, 236812, 236919, 1018, 563, 5213, 2217, 496, 142193, 1018, 1056, 45981, 9952, 236764, 88078, 236764, 532, 1624, 236761, 138, 108, 7243, 108, 10354, 12883, 236743, 236778, 236787, 8779, 11701, 63326, 138, 107, 1018, 136971, 161840, 4073, 53121, 138, 107, 236772, 214716, 32708, 197976, 105411, 832, 236929, 138, 107, 236772, 214716, 105411, 3999, 19033, 236778, 236771, 236778, 236812, 236929, 138, 107, 236772, 214716, 5820, 665, 115232, 39266, 236929, 138, 107, 236772, 214716, 3508, 2581, 4933, 3133, 118013, 1013, 236929, 138, 107, 236772, 214716, 13149, 105411, 3999, 125094, 236929, 138, 108, 1018, 13149, 9975, 35900, 166858, 171678, 53121, 138, 107, 236770, 236761, 9975, 35900, 143115, 19871, 138, 107, 236778, 236761, 45441, 4556, 153556, 138, 107, 236800, 236761, 669, 19871, 6022, 657, 7086, 106121, 138, 107, 236812, 236761, 171485, 18338, 26762, 36667, 138, 107, 236810, 236761, 9975, 35900, 11493, 19871, 10981, 138, 108, 7243, 108, 10354, 12883, 236743, 236800, 236787, 77362, 5590, 6663, 70593, 138, 107, 1018, 6717, 53121, 2343, 236743, 236770, 236771, 10396, 964, 10428, 3265, 531, 21736, 607, 506, 32272, 236787, 138, 107, 236813, 999, 8993, 236858, 236745, 10849, 506, 7972, 4469, 10884, 657, 236743, 236828, 8151, 16922, 236888, 42641, 28764, 532, 1813, 22727, 1827, 138, 108, 1018, 9473, 53121, 138, 107, 236772, 73997, 964, 3265, 531, 784, 236743, 236770, 236771, 5154, 4945, 3847, 236761, 138, 107, 236772, 7714, 3618, 5132, 496, 4709, 2165, 4375, 236779, 547, 236929, 532, 31115, 568, 236744, 236761, 236759, 1126, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 236929, 531, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236832, 236787, 236770, 236810, 236787, 236800, 236778, 236953, 59395, 138, 107, 236772, 33431, 4981, 573, 784, 563, 10778, 618, 5213, 236913, 15266, 236919, 1018, 653, 5213, 236913, 10934, 236919, 84750, 138, 108, 7243, 108, 3243, 9395, 7723, 10428, 236888, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236761, 236743, 242560, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236858, 236757, 35447, 496, 21811, 7972, 4469, 2760, 999, 3508, 2581, 4933, 833, 56515, 1013, 19871, 10990, 236743, 236778, 236771, 236778, 236812, 236919, 532, 1202, 1601, 607, 1806, 2432, 236787, 236743, 236770, 236761, 5213, 6845, 768, 506, 2460, 1463, 563, 496, 142193, 1018, 568, 796, 5227, 9952, 236764, 88078, 236764, 532, 1624, 236768, 573, 496, 2317, 8052, 528, 506, 42527, 61381, 236761, 236743, 236778, 236761, 5213, 11823, 60194, 118252, 532, 2263, 9975, 35900, 49115, 16746, 1018, 531, 11723, 506, 2460, 580, 2777, 4009, 236761, 236743, 236800, 236761, 5213, 15617, 496, 1816, 32272, 531, 236743, 236770, 236771, 21736, 1018, 607, 506, 2460, 4889, 236787, 999, 8993, 236858, 236745, 10849, 506, 7972, 4469, 10884, 657, 236743, 236828, 8151, 16922, 236888, 42641, 28764, 532, 1813, 22727, 1827, 77362, 5154, 4945, 659, 236787, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236778, 236800, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236812, 236810, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236825, 236832, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236828, 236819, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236771, 236770, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236778, 236800, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236812, 236810, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236825, 236832, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236828, 236819, 236764, 568, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236800, 236771, 236770, 236761, 3199, 611, 6060, 784, 1806, 9395, 657, 3622, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 511, 236779, 227147, 1083, 2416, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 32708, 197976, 105411, 832, 827, 13659, 105411, 3999, 19033, 236778, 236771, 236778, 236812, 827, 13659, 5820, 665, 115232, 39266, 827, 13659, 3508, 2581, 4933, 3133, 118013, 1013, 827, 13659, 13149, 105411, 3999, 125094, 14255, 623, 6047, 236779, 35105, 1083, 11058, 32708, 35900, 143115, 19871, 827, 623, 150854, 4556, 153556, 827, 623, 818, 19871, 6022, 657, 7086, 106121, 827, 623, 236773, 128489, 18338, 26762, 36667, 827, 623, 32708, 35900, 11493, 19871, 10981, 14255, 623, 2305, 236779, 3278, 1083, 623, 32708, 35900, 49115, 827, 623, 3709, 236779, 2861, 1083, 236743, 236810, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 13308, 1083, 3714, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236778, 236800, 827, 623, 4375, 1083, 623, 8993, 236785, 236756, 236778, 236771, 236770, 236819, 236745, 10849, 506, 7972, 4469, 10884, 657, 236743, 236828, 8151, 16922, 236888, 42641, 28764, 532, 1813, 22727, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 15266, 827, 623, 4375, 236779, 547, 1083, 623, 179190, 236772, 236832, 236828, 236819, 236812, 236810, 236825, 236770, 236778, 236800, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236812, 236810, 827, 623, 81907, 236779, 4818, 1083, 623, 189167, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236825, 236832, 827, 623, 4375, 236779, 547, 1083, 623, 179190, 236779, 236778, 236771, 236778, 236812, 236779, 8017, 44212, 4206, 236779, 236832, 236828, 236819, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236812, 236810, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236828, 236819, 827, 623, 4375, 236779, 35432, 1083, 623, 8993, 236785, 236756, 236778, 236771, 236770, 236819, 236745, 10849, 506, 7972, 4469, 10884, 657, 236743, 236828, 8151, 16922, 236888, 42641, 28764, 532, 1813, 22727, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236778, 236778, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236771, 236770, 827, 623, 4375, 1083, 623, 8993, 236785, 236756, 236778, 236771, 236770, 236819, 236745, 10849, 506, 7972, 4469, 10884, 657, 236743, 236828, 8151, 16922, 236888, 42641, 28764, 532, 1813, 22727, 10498, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 179190, 236778, 236771, 236778, 236812, 236771, 236825, 236778, 236771, 8017, 44212, 4206, 827, 623, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236778, 236800, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236832, 236787, 236770, 236810, 236787, 236800, 236778, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4375, 236779, 547, 1083, 623, 179190, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236778, 236771, 236772, 236828, 1936, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236812, 236810, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 44397, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236825, 236832, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4375, 236779, 547, 1083, 623, 179190, 236832, 236828, 236819, 236812, 236810, 236825, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236778, 236828, 236819, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 179190, 236779, 236778, 236771, 236778, 236812, 236779, 236771, 236825, 236778, 236771, 827, 623, 4818, 1083, 623, 15266, 827, 623, 92757, 1083, 33865, 236828, 236770, 236832, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236800, 236771, 236770, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236778, 236778, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 25938, 106, 107, 105, 4368, 107, 10354, 12883, 236743, 236770, 236787, 6203, 72731, 7179, 138, 107, 1018, 4116, 53121, 669, 2460, 1463, 5213, 236913, 3508, 2581, 4933, 833, 56515, 1013, 19871, 10990, 236743, 236778, 236771, 236778, 236812, 236919, 1018, 563, 5213, 2217, 496, 142193, 1018, 1056, 45981, 9952, 236764, 88078, 236764, 532, 1624, 236761, 138, 108, 7243, 108, 10354, 12883, 236743, 236778, 236787, 8779, 11701, 63326, 138, 107, 1018, 136971, 161840, 4073, 53121, 138, 107, 236772, 214716, 32708, 197976, 105411, 832, 236929, 138, 107, 236772, 214716, 105411, 3999, 19033, 236778, 236771, 236778, 236812, 236929, 138, 107, 236772, 214716, 5820, 665, 115232, 39266, 236929, 138, 107, 236772, 214716, 3508, 2581, 4933, 3133, 118013, 1013, 236929, 138, 107, 236772, 214716, 13149, 105411, 3999, 125094, 236929, 138, 108, 1018, 13149, 9975, 35900, 166858, 171678, 53121, 138, 107, 236770, 236761, 9975, 35900, 143115, 19871, 138, 107, 236778, 236761, 45441, 4556, 153556, 138, 107, 236800, 236761, 669, 19871, 6022, 657, 7086, 106121, 138, 107, 236812, 236761, 171485, 18338, 26762, 36667, 138, 107, 236810, 236761, 9975, 35900, 11493, 19871, 10981, 138, 108, 7243, 108, 10354, 12883, 236743, 236800, 236787, 77362, 5590, 6663, 70593, 138, 107, 1018, 6717, 53121, 2343, 236743, 236770, 236771, 10396, 964, 10428, 3265, 531, 21736, 607, 506, 32272, 236787, 138, 107, 236813, 999, 8993, 236858, 236745, 10849, 506, 7972, 4469, 10884, 657, 236743, 236828, 8151, 16922, 236888, 42641, 28764, 532, 1813, 22727, 1827, 138, 108, 1018, 9473, 53121, 138, 107, 236772, 73997, 964, 3265, 531, 784, 236743, 236770, 236771, 5154, 4945, 3847, 236761, 138, 107, 236772, 7714, 3618, 5132, 496, 4709, 2165, 4375, 236779, 547, 236929, 532, 31115, 568, 236744, 236761, 236759, 1126, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236819, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236812, 236810, 236953, 236929, 531, 2165, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236771, 236832, 236787, 236770, 236810, 236787, 236800, 236778, 236953, 59395, 138, 107, 236772, 33431, 4981, 573, 784, 563, 10778, 618, 5213, 236913, 15266, 236919, 1018, 653, 5213, 236913, 10934, 236919, 84750, 138, 108, 7243, 108, 3243, 9395, 7723, 10428, 236888, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236761, 236743, 242560, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236888, 564, 236789, 236757, 9757, 4465, 236761, 564, 1202, 1601, 8159, 60194, 118252, 573, 496, 2777, 4009, 7073, 20329, 14105, 5931, 2780, 528, 51100, 532, 1799, 30040, 236761, 28344, 611, 1161, 506, 3927, 236779, 137112, 4073, 5904, 531, 1586, 7798, 16616, 600, 22064, 1800, 9979, 236789, 50353, 65733, 236881, 564, 1461, 531, 8357, 1041, 102016, 236858, 236751, 6835, 532, 13840, 15028, 607, 496, 3425, 16510, 26339, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 137112, 4073, 1083, 11058, 236865, 60891, 90829, 25174, 827, 13659, 11905, 42872, 236788, 2139, 827, 13659, 4199, 3524, 28992, 236780, 109846, 827, 13659, 19253, 3133, 141754, 61732, 827, 13659, 23406, 69761, 588, 60891, 827, 13659, 39977, 3674, 64020, 827, 13659, 90829, 25174, 236847, 748, 507, 827, 13659, 60891, 25174, 703, 827, 13659, 11905, 42872, 20804, 236935, 827, 13659, 236797, 3769, 14196, 2139, 827, 13659, 4225, 3009, 90829, 25174, 827, 13659, 60891, 120453, 827, 13659, 25174, 703, 236811, 3740, 827, 13659, 175769, 60891, 827, 13659, 90829, 25174, 86158, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 67722, 1694, 529, 60194, 118252, 66051, 51100, 236764, 1799, 30040, 236764, 532, 822, 44018, 6835, 236772, 624, 236772, 120563, 26339, 236787, 108, 1018, 244343, 4085, 236772, 46163, 214389, 53121, 138, 107, 236865, 11905, 42872, 236788, 2139, 4924, 997, 11905, 42872, 20804, 236935, 4924, 997, 4199, 3524, 28992, 236780, 109846, 4924, 997, 236797, 3769, 14196, 2139, 138, 108, 1018, 240785, 54866, 10353, 833, 98306, 53121, 138, 107, 236865, 60891, 90829, 25174, 4924, 997, 19253, 3133, 141754, 61732, 4924, 997, 23406, 69761, 588, 60891, 4924, 997, 4225, 3009, 90829, 25174, 138, 108, 1018, 251602, 137842, 236858, 236751, 31808, 53121, 138, 107, 236865, 39977, 3674, 64020, 4924, 997, 90829, 25174, 236847, 748, 507, 138, 108, 1018, 245353, 5884, 76217, 53121, 138, 107, 236865, 60891, 25174, 703, 4924, 997, 25174, 703, 236811, 3740, 4924, 997, 90829, 25174, 86158, 4924, 997, 60891, 120453, 138, 108, 9208, 16616, 22223, 2263, 50353, 36807, 607, 822, 4709, 3425, 236772, 91022, 588, 26339, 236888, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 59638, 3342, 653, 11327, 4563, 16616, 573, 51100, 653, 646, 91287, 41916, 236761, 236743, 248705, 247861, 238178, 106, 107, 105, 2364, 107, 12879, 573, 506, 118252, 236888, 4224, 564, 1461, 531, 7853, 3530, 51100, 532, 1799, 30040, 2780, 16746, 528, 1041, 12714, 236761, 28344, 611, 1161, 506, 3927, 236779, 21853, 5904, 531, 1586, 4913, 12616, 653, 41916, 528, 1800, 9979, 3224, 573, 14105, 5931, 2780, 236881, 6542, 236764, 1451, 611, 2426, 768, 1041, 10365, 15345, 756, 11062, 4465, 4830, 1808, 236789, 20239, 5058, 15700, 1699, 18855, 236779, 11668, 236881, 564, 1461, 1041, 8781, 531, 2597, 24636, 1651, 20329, 1041, 23642, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 7125, 236779, 1201, 1083, 623, 818, 10798, 574, 657, 1834, 236792, 195458, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236810, 236761, 236770, 236812, 236819, 236810, 236764, 623, 41713, 1083, 753, 236819, 236771, 236761, 236771, 236812, 236819, 1263, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236819, 236764, 623, 146518, 236779, 3906, 1083, 3714, 13319, 1083, 623, 11905, 42872, 827, 623, 3255, 1083, 623, 163180, 827, 623, 78660, 1083, 623, 92409, 2003, 5796, 236775, 5237, 3714, 7125, 236779, 1201, 1083, 623, 36043, 56179, 753, 170000, 6718, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236810, 236761, 236770, 236812, 236828, 236828, 236764, 623, 41713, 1083, 753, 236819, 236771, 236761, 236771, 236812, 236819, 236810, 1263, 623, 228652, 236779, 8318, 1083, 236743, 236819, 236778, 236764, 623, 146518, 236779, 3906, 1083, 3714, 13319, 1083, 623, 11905, 42872, 827, 623, 3255, 1083, 623, 163180, 827, 623, 78660, 1083, 623, 92409, 2003, 5796, 236775, 5237, 3714, 7125, 236779, 1201, 1083, 623, 129621, 5865, 7768, 29223, 833, 54189, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236810, 236761, 236770, 236810, 236778, 236770, 236764, 623, 41713, 1083, 753, 236819, 236771, 236761, 236771, 236810, 236770, 236778, 1263, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236810, 236764, 623, 146518, 236779, 3906, 1083, 3714, 13319, 1083, 623, 11905, 42872, 827, 623, 3255, 1083, 623, 163180, 827, 623, 78660, 1083, 623, 92409, 2003, 5796, 127096, 1604, 623, 2305, 236779, 3278, 1083, 623, 60891, 5931, 2780, 51100, 827, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 236780, 5530, 498, 145421, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236778, 236819, 236761, 236819, 236812, 236828, 236825, 236764, 623, 14716, 1083, 753, 236819, 236771, 236761, 236771, 236825, 236825, 236832, 1263, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236832, 236764, 623, 2084, 1083, 623, 70358, 827, 623, 7720, 1083, 623, 236800, 236771, 236778, 236810, 842, 11791, 18977, 236764, 1799, 30040, 236764, 11404, 236743, 236832, 236771, 236770, 236770, 236810, 827, 623, 230586, 1083, 623, 60891, 236786, 202633, 827, 623, 131583, 1083, 623, 236836, 693, 931, 23179, 3714, 1201, 1083, 623, 818, 667, 54776, 18591, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236778, 236819, 236761, 236819, 236810, 236770, 236778, 236764, 623, 14716, 1083, 753, 236819, 236771, 236761, 236771, 236810, 236819, 236812, 1263, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236778, 236764, 623, 2084, 1083, 623, 70358, 827, 623, 7720, 1083, 623, 236825, 236800, 236771, 93075, 842, 236764, 1799, 30040, 236764, 11404, 236743, 236832, 236771, 236770, 236800, 236771, 827, 623, 230586, 1083, 623, 18721, 1777, 236786, 60891, 827, 623, 131583, 1083, 623, 42150, 34945, 23179, 3714, 1201, 1083, 623, 15600, 703, 58832, 236789, 236751, 78001, 5407, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236778, 236819, 236761, 236819, 236812, 236819, 236770, 236764, 623, 14716, 1083, 753, 236819, 236771, 236761, 236771, 236832, 236770, 236778, 1263, 623, 228652, 236779, 8318, 1083, 236743, 236819, 236761, 236770, 236764, 623, 2084, 1083, 623, 70358, 827, 623, 7720, 1083, 623, 236778, 236812, 236771, 236770, 14148, 7657, 842, 236764, 1799, 30040, 236764, 11404, 236743, 236832, 236771, 236770, 236770, 236819, 827, 623, 230586, 1083, 623, 111994, 10353, 827, 623, 131583, 1083, 623, 217498, 236785, 236756, 236771, 236771, 236744, 236819, 25938, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236800, 236764, 623, 3278, 236779, 6011, 1083, 623, 60891, 5931, 2780, 1799, 30040, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 21862, 236779, 4818, 1083, 623, 4730, 827, 623, 5939, 236779, 128304, 1083, 1847, 236764, 623, 18700, 1083, 1847, 236764, 623, 1899, 236779, 28546, 1083, 17811, 623, 65141, 524, 236779, 36988, 4853, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 25890, 529, 4913, 14105, 5931, 2780, 16746, 532, 822, 15345, 18256, 236787, 108, 1018, 246903, 51100, 10353, 171678, 1018, 138, 107, 236770, 236761, 5213, 818, 10798, 574, 657, 1834, 236792, 195458, 1018, 138, 107, 139, 58713, 236787, 236743, 236800, 236810, 236761, 236770, 236812, 236819, 236810, 236764, 753, 236819, 236771, 236761, 236771, 236812, 236819, 236771, 138, 107, 139, 69694, 665, 236787, 236743, 236828, 236819, 236786, 236770, 236771, 236771, 568, 92409, 2003, 5796, 236768, 138, 107, 236778, 236761, 5213, 36043, 56179, 753, 170000, 6718, 1018, 138, 107, 139, 58713, 236787, 236743, 236800, 236810, 236761, 236770, 236812, 236828, 236828, 236764, 753, 236819, 236771, 236761, 236771, 236812, 236819, 236810, 138, 107, 139, 69694, 665, 236787, 236743, 236819, 236778, 236786, 236770, 236771, 236771, 568, 11405, 525, 56179, 900, 5931, 2780, 236768, 138, 107, 236800, 236761, 5213, 129621, 5865, 7768, 29223, 833, 54189, 1018, 138, 107, 139, 58713, 236787, 236743, 236800, 236810, 236761, 236770, 236810, 236778, 236770, 236764, 753, 236819, 236771, 236761, 236771, 236810, 236770, 236778, 138, 107, 139, 69694, 665, 236787, 236743, 236828, 236810, 236786, 236770, 236771, 236771, 138, 108, 1018, 250848, 1799, 30040, 10353, 171678, 1018, 138, 107, 236770, 236761, 5213, 236780, 5530, 498, 145421, 1018, 138, 107, 139, 9604, 236787, 236743, 236800, 236771, 236778, 236810, 842, 11791, 18977, 138, 107, 139, 236780, 109846, 236787, 14105, 236786, 202633, 568, 236836, 693, 931, 236768, 138, 107, 236778, 236761, 5213, 818, 667, 54776, 18591, 1018, 138, 107, 139, 9604, 236787, 236743, 236825, 236800, 236771, 93075, 842, 138, 107, 139, 236780, 109846, 236787, 152502, 236786, 60891, 568, 42150, 34945, 236768, 138, 107, 236800, 236761, 5213, 15600, 703, 58832, 236789, 236751, 78001, 5407, 1018, 138, 107, 139, 9604, 236787, 236743, 236778, 236812, 236771, 236770, 14148, 7657, 842, 138, 107, 139, 236780, 109846, 236787, 41025, 10353, 568, 217498, 236859, 236764, 236743, 236819, 236761, 236770, 236786, 236770, 236771, 24711, 236768, 138, 108, 1018, 240732, 85878, 55163, 1018, 138, 107, 11069, 10365, 6060, 5213, 236940, 11062, 4465, 4830, 1808, 1018, 563, 236787, 138, 107, 236772, 5213, 13280, 1018, 568, 5939, 236787, 11739, 236764, 951, 2803, 7579, 236786, 35220, 236768, 138, 107, 236772, 5213, 21550, 1018, 568, 2217, 3523, 236768, 138, 107, 236772, 5213, 15376, 236772, 128304, 1018, 568, 232965, 10365, 236858, 236751, 6366, 236768, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236772, 6890, 15375, 573, 18997, 4563, 16616, 528, 12714, 236786, 86563, 236761, 138, 107, 236772, 118189, 19292, 657, 1239, 16746, 607, 997, 39977, 3674, 64020, 653, 997, 4225, 3009, 90829, 25174, 236761, 138, 107, 236772, 85878, 563, 5508, 531, 817, 237028, 153085, 532, 3927, 236772, 18865, 236888, 138, 108, 30134, 919, 16746, 653, 1601, 68632, 12714, 236881, 3792, 786, 1281, 236888, 236743, 247815, 238178, 239794, 106, 107, 105, 2364, 107, 236775, 12879, 573, 49378, 506, 15345, 532, 22169, 1724, 16746, 236888, 4224, 564, 1461, 531, 2426, 1041, 10365, 8781, 4889, 531, 1386, 2889, 4326, 100146, 607, 1041, 14105, 5931, 2780, 5500, 236761, 28344, 611, 1161, 506, 5213, 13330, 1018, 5904, 531, 33205, 1041, 1237, 8283, 573, 1392, 11062, 4465, 4830, 1808, 236881, 564, 236858, 236753, 1133, 531, 16807, 1041, 12780, 236764, 8781, 6083, 236764, 532, 4803, 12714, 4241, 506, 44249, 529, 20329, 51100, 236772, 1071, 236772, 4199, 236772, 3524, 28992, 5931, 2780, 607, 496, 44018, 26339, 236761, 6542, 236764, 1451, 611, 2426, 768, 1027, 529, 506, 51100, 653, 646, 91287, 12616, 611, 9456, 568, 5282, 669, 10798, 574, 657, 1834, 236792, 195458, 653, 75650, 58832, 236789, 236751, 236768, 735, 10365, 20183, 692, 740, 7853, 236881, 3792, 786, 1281, 768, 611, 1202, 910, 32743, 236751, 653, 190812, 573, 600, 9332, 236743, 248705, 239794, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 11062, 4465, 4830, 1808, 827, 623, 36627, 1083, 623, 146277, 51100, 236772, 1071, 236772, 4199, 236772, 3524, 28992, 5931, 2780, 531, 822, 2633, 607, 496, 44018, 26339, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236825, 236785, 77118, 236771, 236760, 14105, 23642, 236764, 6171, 236772, 2128, 15236, 236764, 532, 3995, 714, 48702, 600, 236785, 236756, 236778, 236771, 236770, 236819, 859, 1386, 611, 10849, 822, 25427, 236761, 997, 60891, 111994, 25174, 997, 11062, 4465, 4830, 1808, 827, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236764, 623, 13330, 236779, 12904, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 5099, 727, 553, 8546, 236779, 13330, 236761, 4034, 827, 623, 43852, 236779, 22487, 1083, 78493, 21151, 1083, 623, 69018, 146173, 833, 32052, 1709, 3446, 236888, 621, 689, 236828, 236800, 236753, 236785, 689, 236755, 236770, 236760, 11063, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 5508, 573, 496, 51100, 236772, 1071, 236772, 236797, 91287, 18434, 29102, 236881, 19653, 496, 4389, 1015, 3548, 672, 44018, 41569, 236761, 997, 60891, 90829, 25174, 997, 818, 19254, 574, 3834, 3258, 236792, 195458, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 3274, 236770, 236761, 4034, 23179, 3714, 21151, 1083, 623, 137637, 75650, 58832, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 3124, 236888, 9963, 27351, 12480, 13696, 672, 2069, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 15028, 7266, 236761, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236810, 236832, 29365, 44018, 236764, 570, 236785, 236756, 236778, 236771, 236770, 236819, 712, 236761, 997, 236797, 3769, 2714, 109846, 997, 11062, 4465, 4830, 1808, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236812, 236774, 236770, 236778, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 3274, 236778, 236761, 4034, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 554, 1083, 623, 1437, 2152, 12952, 6279, 195458, 827, 623, 36627, 1083, 623, 11905, 42872, 236772, 11811, 5931, 2780, 833, 48163, 1109, 43902, 1834, 236792, 195458, 18338, 1109, 7607, 236743, 236832, 2668, 1109, 126386, 10325, 1109, 997, 60891, 236788, 2139, 827, 623, 76647, 1083, 236743, 236770, 236778, 236812, 236810, 236771, 236764, 623, 13330, 236779, 12904, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 554, 236779, 2152, 574, 236761, 4034, 827, 623, 43852, 236779, 22487, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236810, 236825, 236778, 236828, 236800, 236771, 236771, 236832, 827, 623, 21151, 1083, 623, 10005, 15320, 208362, 6835, 833, 13840, 753, 5931, 528, 1418, 28721, 621, 689, 236828, 236800, 236744, 236785, 9646, 236755, 236771, 236785, 689, 236828, 236800, 236753, 236785, 9646, 236778, 236810, 997, 11905, 42872, 236788, 2139, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 3274, 236770, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236828, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236800, 236778, 236819, 236812, 236832, 236770, 236778, 236771, 236800, 827, 623, 21151, 1083, 623, 7711, 9639, 58732, 20501, 39029, 6757, 496, 111984, 26339, 20564, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236810, 236771, 111500, 833, 5931, 578, 4011, 3433, 3446, 621, 689, 236828, 236800, 236744, 236785, 9646, 236812, 236778, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 3274, 236778, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236812, 236774, 236778, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 236765, 10691, 5680, 236744, 236779, 1166, 557, 4873, 827, 623, 36627, 1083, 623, 150143, 872, 147211, 14105, 5931, 2780, 607, 496, 44018, 26339, 236761, 51100, 531, 1799, 30040, 34894, 236761, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236810, 236812, 236785, 689, 236828, 236800, 236753, 236785, 9646, 236778, 236810, 827, 623, 76647, 1083, 236743, 236770, 236778, 236810, 236812, 236800, 236764, 623, 13330, 236779, 12904, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 13330, 236779, 42624, 236786, 236765, 10691, 5680, 236744, 236779, 1166, 557, 4873, 236761, 4034, 827, 623, 43852, 236779, 22487, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236812, 236771, 236770, 236778, 236819, 236800, 236828, 236778, 827, 623, 21151, 1083, 623, 10005, 15320, 208362, 6835, 538, 236789, 13840, 753, 51100, 20239, 646, 91287, 5387, 621, 689, 236828, 236800, 236744, 236785, 9646, 236755, 236771, 236785, 689, 236828, 236800, 236753, 236785, 9646, 236778, 236810, 997, 60891, 90829, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236786, 1457, 7892, 536, 236779, 12919, 236761, 4034, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236771, 236819, 236778, 236828, 236800, 236832, 827, 623, 21151, 1083, 623, 139598, 4142, 132419, 3789, 607, 496, 214274, 12261, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236810, 236771, 236785, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236825, 236785, 77118, 236771, 236760, 19653, 3801, 1392, 818, 19254, 574, 3834, 3258, 236792, 195458, 1298, 672, 691, 1603, 41218, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236812, 236774, 236771, 236819, 236787, 236770, 236778, 236787, 236800, 236800, 236953, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236786, 1871, 508, 236779, 8776, 236761, 4034, 25938, 1604, 623, 14210, 1083, 623, 16679, 52236, 573, 15345, 756, 236765, 10691, 5680, 236744, 236779, 1166, 557, 4873, 6748, 669, 2430, 15633, 28250, 573, 12091, 11062, 4465, 4830, 1808, 236789, 753, 5091, 9128, 768, 672, 563, 506, 10518, 8781, 653, 768, 496, 1607, 15345, 1374, 577, 15593, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 3671, 529, 822, 8781, 532, 9180, 16616, 236787, 108, 7243, 108, 10354, 5213, 240732, 1392, 11062, 4465, 4830, 1808, 29520, 7179, 1018, 138, 107, 236772, 5213, 46065, 66515, 27717, 25000, 607, 822, 5500, 236888, 138, 107, 138, 71510, 146277, 51100, 236772, 1071, 236772, 4199, 236772, 3524, 28992, 5931, 2780, 1390, 44018, 26339, 236743, 247861, 238178, 14105, 23642, 24002, 236829, 138, 107, 138, 139421, 236787, 4140, 496, 2246, 236772, 1071, 236772, 2064, 1133, 808, 236913, 27447, 573, 16789, 23642, 13348, 236829, 531, 12277, 15154, 236761, 138, 107, 236772, 5213, 27447, 497, 4308, 66515, 236743, 236770, 236810, 236761, 236778, 236855, 568, 37841, 3877, 15520, 138, 107, 236772, 5213, 47619, 49040, 66515, 138, 107, 138, 236770, 236761, 19653, 3701, 808, 818, 10798, 574, 657, 1834, 236792, 195458, 236829, 607, 997, 60891, 90829, 25174, 236761, 138, 107, 138, 236778, 236761, 118189, 524, 75650, 58832, 236858, 236751, 607, 997, 236797, 3769, 2714, 109846, 236761, 138, 107, 138, 22186, 12714, 1161, 44018, 236786, 20656, 2780, 111730, 532, 2263, 23948, 237028, 50936, 573, 822, 44249, 236761, 138, 108, 7243, 108, 10354, 5213, 244343, 29223, 10365, 121903, 1018, 138, 107, 236770, 236761, 5213, 818, 10798, 574, 657, 1834, 236792, 195458, 1018, 138, 107, 139, 236772, 5213, 29338, 66515, 1392, 1437, 2152, 12952, 6279, 195458, 138, 107, 139, 236772, 5213, 46065, 66515, 808, 236913, 11905, 42872, 236772, 11811, 5931, 2780, 833, 48163, 1109, 43902, 1834, 236792, 195458, 18338, 236919, 236829, 138, 107, 139, 236772, 5213, 27447, 616, 66515, 236743, 236770, 236778, 236761, 236812, 236855, 138, 107, 139, 236772, 5213, 47619, 49040, 66515, 4504, 15320, 208362, 6835, 833, 13840, 236764, 111984, 20501, 39029, 568, 36713, 2780, 3004, 769, 138, 107, 139, 236772, 5213, 6717, 66515, 23531, 532, 7798, 237028, 9088, 1091, 528, 51100, 236772, 41889, 12714, 236888, 138, 108, 236778, 236761, 5213, 15600, 703, 58832, 236858, 236751, 78001, 5407, 1018, 138, 107, 139, 236772, 5213, 29338, 66515, 1392, 236765, 10691, 5680, 236744, 236779, 1166, 557, 4873, 138, 107, 139, 236772, 5213, 46065, 66515, 808, 236913, 150143, 872, 147211, 14105, 5931, 2780, 607, 496, 44018, 26339, 236919, 236829, 138, 107, 139, 236772, 5213, 27447, 616, 66515, 236743, 236770, 236778, 236761, 236810, 236855, 138, 107, 139, 236772, 5213, 47619, 49040, 66515, 4504, 15320, 208362, 6835, 538, 236858, 13840, 236764, 111984, 132419, 3789, 568, 68020, 56188, 1392, 818, 19254, 574, 3834, 3258, 236792, 195458, 42035, 138, 107, 139, 236772, 5213, 10282, 66515, 9963, 15345, 815, 496, 116896, 14083, 1166, 557, 4873, 236829, 7728, 236761, 808, 212705, 6367, 236829, 779, 840, 506, 8781, 563, 4341, 236761, 138, 108, 7243, 108, 10354, 5213, 242083, 12067, 50228, 1018, 138, 107, 236770, 236761, 5213, 12345, 3801, 66515, 6890, 182615, 1437, 2152, 12952, 6279, 195458, 236929, 532, 182615, 236765, 10691, 5680, 236744, 236779, 1166, 557, 4873, 236929, 528, 12714, 236786, 86563, 531, 4071, 236772, 211268, 236761, 138, 107, 236778, 236761, 5213, 221528, 66515, 14066, 83431, 1091, 528, 15028, 67529, 568, 236744, 236761, 236759, 1126, 808, 236913, 128345, 684, 75650, 58832, 236858, 236751, 13348, 236829, 769, 138, 107, 236800, 236761, 5213, 16679, 62840, 66515, 4140, 496, 3205, 531, 822, 6524, 44018, 15028, 528, 822, 12780, 573, 1982, 8827, 236761, 138, 108, 11069, 5500, 25000, 563, 5139, 237028, 27611, 64004, 1239, 2263, 23948, 236888, 236743, 248705, 240785, 3792, 786, 1281, 768, 611, 1202, 68324, 146212, 573, 3530, 12714, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 236888, 564, 236789, 236757, 9757, 4465, 236761, 564, 1202, 1601, 8159, 60194, 118252, 573, 496, 2777, 4009, 7073, 20329, 14105, 5931, 2780, 528, 51100, 532, 1799, 30040, 236761, 28344, 611, 1161, 506, 3927, 236779, 137112, 4073, 5904, 531, 1586, 7798, 16616, 600, 22064, 1800, 9979, 236789, 50353, 65733, 236881, 564, 1461, 531, 8357, 1041, 102016, 236858, 236751, 6835, 532, 13840, 15028, 607, 496, 3425, 16510, 26339, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 137112, 4073, 1083, 11058, 236865, 60891, 90829, 25174, 827, 13659, 11905, 42872, 236788, 2139, 827, 13659, 4199, 3524, 28992, 236780, 109846, 827, 13659, 19253, 3133, 141754, 61732, 827, 13659, 23406, 69761, 588, 60891, 827, 13659, 39977, 3674, 64020, 827, 13659, 90829, 25174, 236847, 748, 507, 827, 13659, 60891, 25174, 703, 827, 13659, 11905, 42872, 20804, 236935, 827, 13659, 236797, 3769, 14196, 2139, 827, 13659, 4225, 3009, 90829, 25174, 827, 13659, 60891, 120453, 827, 13659, 25174, 703, 236811, 3740, 827, 13659, 175769, 60891, 827, 13659, 90829, 25174, 86158, 99471, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 496, 67722, 1694, 529, 60194, 118252, 66051, 51100, 236764, 1799, 30040, 236764, 532, 822, 44018, 6835, 236772, 624, 236772, 120563, 26339, 236787, 108, 1018, 244343, 4085, 236772, 46163, 214389, 53121, 138, 107, 236865, 11905, 42872, 236788, 2139, 4924, 997, 11905, 42872, 20804, 236935, 4924, 997, 4199, 3524, 28992, 236780, 109846, 4924, 997, 236797, 3769, 14196, 2139, 138, 108, 1018, 240785, 54866, 10353, 833, 98306, 53121, 138, 107, 236865, 60891, 90829, 25174, 4924, 997, 19253, 3133, 141754, 61732, 4924, 997, 23406, 69761, 588, 60891, 4924, 997, 4225, 3009, 90829, 25174, 138, 108, 1018, 251602, 137842, 236858, 236751, 31808, 53121, 138, 107, 236865, 39977, 3674, 64020, 4924, 997, 90829, 25174, 236847, 748, 507, 138, 108, 1018, 245353, 5884, 76217, 53121, 138, 107, 236865, 60891, 25174, 703, 4924, 997, 25174, 703, 236811, 3740, 4924, 997, 90829, 25174, 86158, 4924, 997, 60891, 120453, 138, 108, 9208, 16616, 22223, 2263, 50353, 36807, 607, 822, 4709, 3425, 236772, 91022, 588, 26339, 236888, 3792, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 59638, 3342, 653, 11327, 4563, 16616, 573, 51100, 653, 646, 91287, 41916, 236761, 236743, 248705, 247861, 238178, 106, 107, 105, 2364, 107, 12879, 573, 506, 118252, 236888, 4224, 564, 1461, 531, 7853, 3530, 51100, 532, 1799, 30040, 2780, 16746, 528, 1041, 12714, 236761, 28344, 611, 1161, 506, 3927, 236779, 21853, 5904, 531, 1586, 4913, 12616, 653, 41916, 528, 1800, 9979, 3224, 573, 14105, 5931, 2780, 236881, 6542, 236764, 1451, 611, 2426, 768, 1041, 10365, 15345, 756, 11062, 4465, 4830, 1808, 236789, 20239, 5058, 15700, 1699, 18855, 236779, 11668, 236881, 564, 1461, 1041, 8781, 531, 2597, 24636, 1651, 20329, 1041, 23642, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 7125, 236779, 1201, 1083, 623, 818, 10798, 574, 657, 1834, 236792, 195458, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236810, 236761, 236770, 236812, 236819, 236810, 236764, 623, 41713, 1083, 753, 236819, 236771, 236761, 236771, 236812, 236819, 1263, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236819, 236764, 623, 146518, 236779, 3906, 1083, 3714, 13319, 1083, 623, 11905, 42872, 827, 623, 3255, 1083, 623, 163180, 827, 623, 78660, 1083, 623, 92409, 2003, 5796, 236775, 5237, 3714, 7125, 236779, 1201, 1083, 623, 36043, 56179, 753, 170000, 6718, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236810, 236761, 236770, 236812, 236828, 236828, 236764, 623, 41713, 1083, 753, 236819, 236771, 236761, 236771, 236812, 236819, 236810, 1263, 623, 228652, 236779, 8318, 1083, 236743, 236819, 236778, 236764, 623, 146518, 236779, 3906, 1083, 3714, 13319, 1083, 623, 11905, 42872, 827, 623, 3255, 1083, 623, 163180, 827, 623, 78660, 1083, 623, 92409, 2003, 5796, 236775, 5237, 3714, 7125, 236779, 1201, 1083, 623, 129621, 5865, 7768, 29223, 833, 54189, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236810, 236761, 236770, 236810, 236778, 236770, 236764, 623, 41713, 1083, 753, 236819, 236771, 236761, 236771, 236810, 236770, 236778, 1263, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236810, 236764, 623, 146518, 236779, 3906, 1083, 3714, 13319, 1083, 623, 11905, 42872, 827, 623, 3255, 1083, 623, 163180, 827, 623, 78660, 1083, 623, 92409, 2003, 5796, 127096, 1604, 623, 2305, 236779, 3278, 1083, 623, 60891, 5931, 2780, 51100, 827, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 236780, 5530, 498, 145421, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236778, 236819, 236761, 236819, 236812, 236828, 236825, 236764, 623, 14716, 1083, 753, 236819, 236771, 236761, 236771, 236825, 236825, 236832, 1263, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236832, 236764, 623, 2084, 1083, 623, 70358, 827, 623, 7720, 1083, 623, 236800, 236771, 236778, 236810, 842, 11791, 18977, 236764, 1799, 30040, 236764, 11404, 236743, 236832, 236771, 236770, 236770, 236810, 827, 623, 230586, 1083, 623, 60891, 236786, 202633, 827, 623, 131583, 1083, 623, 236836, 693, 931, 23179, 3714, 1201, 1083, 623, 818, 667, 54776, 18591, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236778, 236819, 236761, 236819, 236810, 236770, 236778, 236764, 623, 14716, 1083, 753, 236819, 236771, 236761, 236771, 236810, 236819, 236812, 1263, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236778, 236764, 623, 2084, 1083, 623, 70358, 827, 623, 7720, 1083, 623, 236825, 236800, 236771, 93075, 842, 236764, 1799, 30040, 236764, 11404, 236743, 236832, 236771, 236770, 236800, 236771, 827, 623, 230586, 1083, 623, 18721, 1777, 236786, 60891, 827, 623, 131583, 1083, 623, 42150, 34945, 23179, 3714, 1201, 1083, 623, 15600, 703, 58832, 236789, 236751, 78001, 5407, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236778, 236819, 236761, 236819, 236812, 236819, 236770, 236764, 623, 14716, 1083, 753, 236819, 236771, 236761, 236771, 236832, 236770, 236778, 1263, 623, 228652, 236779, 8318, 1083, 236743, 236819, 236761, 236770, 236764, 623, 2084, 1083, 623, 70358, 827, 623, 7720, 1083, 623, 236778, 236812, 236771, 236770, 14148, 7657, 842, 236764, 1799, 30040, 236764, 11404, 236743, 236832, 236771, 236770, 236770, 236819, 827, 623, 230586, 1083, 623, 111994, 10353, 827, 623, 131583, 1083, 623, 217498, 236785, 236756, 236771, 236771, 236744, 236819, 25938, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236800, 236764, 623, 3278, 236779, 6011, 1083, 623, 60891, 5931, 2780, 1799, 30040, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 21862, 236779, 4818, 1083, 623, 4730, 827, 623, 5939, 236779, 128304, 1083, 1847, 236764, 623, 18700, 1083, 1847, 236764, 623, 1899, 236779, 28546, 1083, 17811, 623, 65141, 524, 236779, 36988, 4853, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 25890, 529, 4913, 14105, 5931, 2780, 16746, 532, 822, 15345, 18256, 236787, 108, 1018, 246903, 51100, 10353, 171678, 1018, 138, 107, 236770, 236761, 5213, 818, 10798, 574, 657, 1834, 236792, 195458, 1018, 138, 107, 139, 58713, 236787, 236743, 236800, 236810, 236761, 236770, 236812, 236819, 236810, 236764, 753, 236819, 236771, 236761, 236771, 236812, 236819, 236771, 138, 107, 139, 69694, 665, 236787, 236743, 236828, 236819, 236786, 236770, 236771, 236771, 568, 92409, 2003, 5796, 236768, 138, 107, 236778, 236761, 5213, 36043, 56179, 753, 170000, 6718, 1018, 138, 107, 139, 58713, 236787, 236743, 236800, 236810, 236761, 236770, 236812, 236828, 236828, 236764, 753, 236819, 236771, 236761, 236771, 236812, 236819, 236810, 138, 107, 139, 69694, 665, 236787, 236743, 236819, 236778, 236786, 236770, 236771, 236771, 568, 11405, 525, 56179, 900, 5931, 2780, 236768, 138, 107, 236800, 236761, 5213, 129621, 5865, 7768, 29223, 833, 54189, 1018, 138, 107, 139, 58713, 236787, 236743, 236800, 236810, 236761, 236770, 236810, 236778, 236770, 236764, 753, 236819, 236771, 236761, 236771, 236810, 236770, 236778, 138, 107, 139, 69694, 665, 236787, 236743, 236828, 236810, 236786, 236770, 236771, 236771, 138, 108, 1018, 250848, 1799, 30040, 10353, 171678, 1018, 138, 107, 236770, 236761, 5213, 236780, 5530, 498, 145421, 1018, 138, 107, 139, 9604, 236787, 236743, 236800, 236771, 236778, 236810, 842, 11791, 18977, 138, 107, 139, 236780, 109846, 236787, 14105, 236786, 202633, 568, 236836, 693, 931, 236768, 138, 107, 236778, 236761, 5213, 818, 667, 54776, 18591, 1018, 138, 107, 139, 9604, 236787, 236743, 236825, 236800, 236771, 93075, 842, 138, 107, 139, 236780, 109846, 236787, 152502, 236786, 60891, 568, 42150, 34945, 236768, 138, 107, 236800, 236761, 5213, 15600, 703, 58832, 236789, 236751, 78001, 5407, 1018, 138, 107, 139, 9604, 236787, 236743, 236778, 236812, 236771, 236770, 14148, 7657, 842, 138, 107, 139, 236780, 109846, 236787, 41025, 10353, 568, 217498, 236859, 236764, 236743, 236819, 236761, 236770, 236786, 236770, 236771, 24711, 236768, 138, 108, 1018, 240732, 85878, 55163, 1018, 138, 107, 11069, 10365, 6060, 5213, 236940, 11062, 4465, 4830, 1808, 1018, 563, 236787, 138, 107, 236772, 5213, 13280, 1018, 568, 5939, 236787, 11739, 236764, 951, 2803, 7579, 236786, 35220, 236768, 138, 107, 236772, 5213, 21550, 1018, 568, 2217, 3523, 236768, 138, 107, 236772, 5213, 15376, 236772, 128304, 1018, 568, 232965, 10365, 236858, 236751, 6366, 236768, 138, 108, 1018, 9272, 50228, 66515, 138, 107, 236772, 6890, 15375, 573, 18997, 4563, 16616, 528, 12714, 236786, 86563, 236761, 138, 107, 236772, 118189, 19292, 657, 1239, 16746, 607, 997, 39977, 3674, 64020, 653, 997, 4225, 3009, 90829, 25174, 236761, 138, 107, 236772, 85878, 563, 5508, 531, 817, 237028, 153085, 532, 3927, 236772, 18865, 236888, 138, 108, 30134, 919, 16746, 653, 1601, 68632, 12714, 236881, 3792, 786, 1281, 236888, 236743, 247815, 238178, 239794, 106, 107, 105, 2364, 107, 236775, 12879, 573, 49378, 506, 15345, 532, 22169, 1724, 16746, 236888, 4224, 564, 1461, 531, 2426, 1041, 10365, 8781, 4889, 531, 1386, 2889, 4326, 100146, 607, 1041, 14105, 5931, 2780, 5500, 236761, 28344, 611, 1161, 506, 5213, 13330, 1018, 5904, 531, 33205, 1041, 1237, 8283, 573, 1392, 11062, 4465, 4830, 1808, 236881, 564, 236858, 236753, 1133, 531, 16807, 1041, 12780, 236764, 8781, 6083, 236764, 532, 4803, 12714, 4241, 506, 44249, 529, 20329, 51100, 236772, 1071, 236772, 4199, 236772, 3524, 28992, 5931, 2780, 607, 496, 44018, 26339, 236761, 6542, 236764, 1451, 611, 2426, 768, 1027, 529, 506, 51100, 653, 646, 91287, 12616, 611, 9456, 568, 5282, 669, 10798, 574, 657, 1834, 236792, 195458, 653, 75650, 58832, 236789, 236751, 236768, 735, 10365, 20183, 692, 740, 7853, 236881, 3792, 786, 1281, 768, 611, 1202, 910, 32743, 236751, 653, 190812, 573, 600, 9332, 236743, 248705, 239794, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 11062, 4465, 4830, 1808, 827, 623, 36627, 1083, 623, 146277, 51100, 236772, 1071, 236772, 4199, 236772, 3524, 28992, 5931, 2780, 531, 822, 2633, 607, 496, 44018, 26339, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236825, 236785, 77118, 236771, 236760, 14105, 23642, 236764, 6171, 236772, 2128, 15236, 236764, 532, 3995, 714, 48702, 600, 236785, 236756, 236778, 236771, 236770, 236819, 859, 1386, 611, 10849, 822, 25427, 236761, 997, 60891, 111994, 25174, 997, 11062, 4465, 4830, 1808, 827, 623, 113978, 236779, 2861, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236764, 623, 13330, 236779, 12904, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 5099, 727, 553, 8546, 236779, 13330, 236761, 4034, 827, 623, 43852, 236779, 22487, 1083, 78493, 21151, 1083, 623, 69018, 146173, 833, 32052, 1709, 3446, 236888, 621, 689, 236828, 236800, 236753, 236785, 689, 236755, 236770, 236760, 11063, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 5508, 573, 496, 51100, 236772, 1071, 236772, 236797, 91287, 18434, 29102, 236881, 19653, 496, 4389, 1015, 3548, 672, 44018, 41569, 236761, 997, 60891, 90829, 25174, 997, 818, 19254, 574, 3834, 3258, 236792, 195458, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236828, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 3274, 236770, 236761, 4034, 23179, 3714, 21151, 1083, 623, 137637, 75650, 58832, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 3124, 236888, 9963, 27351, 12480, 13696, 672, 2069, 236785, 236756, 236778, 236771, 236770, 236819, 236751, 15028, 7266, 236761, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236810, 236832, 29365, 44018, 236764, 570, 236785, 236756, 236778, 236771, 236770, 236819, 712, 236761, 997, 236797, 3769, 2714, 109846, 997, 11062, 4465, 4830, 1808, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236812, 236774, 236770, 236778, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 3274, 236778, 236761, 4034, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 554, 1083, 623, 1437, 2152, 12952, 6279, 195458, 827, 623, 36627, 1083, 623, 11905, 42872, 236772, 11811, 5931, 2780, 833, 48163, 1109, 43902, 1834, 236792, 195458, 18338, 1109, 7607, 236743, 236832, 2668, 1109, 126386, 10325, 1109, 997, 60891, 236788, 2139, 827, 623, 76647, 1083, 236743, 236770, 236778, 236812, 236810, 236771, 236764, 623, 13330, 236779, 12904, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 554, 236779, 2152, 574, 236761, 4034, 827, 623, 43852, 236779, 22487, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236810, 236825, 236778, 236828, 236800, 236771, 236771, 236832, 827, 623, 21151, 1083, 623, 10005, 15320, 208362, 6835, 833, 13840, 753, 5931, 528, 1418, 28721, 621, 689, 236828, 236800, 236744, 236785, 9646, 236755, 236771, 236785, 689, 236828, 236800, 236753, 236785, 9646, 236778, 236810, 997, 11905, 42872, 236788, 2139, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 3274, 236770, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236828, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236810, 236800, 236778, 236819, 236812, 236832, 236770, 236778, 236771, 236800, 827, 623, 21151, 1083, 623, 7711, 9639, 58732, 20501, 39029, 6757, 496, 111984, 26339, 20564, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236810, 236771, 111500, 833, 5931, 578, 4011, 3433, 3446, 621, 689, 236828, 236800, 236744, 236785, 9646, 236812, 236778, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 3274, 236778, 236761, 4034, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236812, 236774, 236778, 236771, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 236775, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 236765, 10691, 5680, 236744, 236779, 1166, 557, 4873, 827, 623, 36627, 1083, 623, 150143, 872, 147211, 14105, 5931, 2780, 607, 496, 44018, 26339, 236761, 51100, 531, 1799, 30040, 34894, 236761, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236810, 236812, 236785, 689, 236828, 236800, 236753, 236785, 9646, 236778, 236810, 827, 623, 76647, 1083, 236743, 236770, 236778, 236810, 236812, 236800, 236764, 623, 13330, 236779, 12904, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 13330, 236779, 42624, 236786, 236765, 10691, 5680, 236744, 236779, 1166, 557, 4873, 236761, 4034, 827, 623, 43852, 236779, 22487, 1083, 78493, 547, 1083, 623, 236770, 236832, 236828, 236812, 236771, 236770, 236778, 236819, 236800, 236828, 236778, 827, 623, 21151, 1083, 623, 10005, 15320, 208362, 6835, 538, 236789, 13840, 753, 51100, 20239, 646, 91287, 5387, 621, 689, 236828, 236800, 236744, 236785, 9646, 236755, 236771, 236785, 689, 236828, 236800, 236753, 236785, 9646, 236778, 236810, 997, 60891, 90829, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 236953, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236786, 1457, 7892, 536, 236779, 12919, 236761, 4034, 23179, 3714, 547, 1083, 623, 236770, 236832, 236828, 236812, 236770, 236771, 236819, 236778, 236828, 236800, 236832, 827, 623, 21151, 1083, 623, 139598, 4142, 132419, 3789, 607, 496, 214274, 12261, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236810, 236771, 236785, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236825, 236785, 77118, 236771, 236760, 19653, 3801, 1392, 818, 19254, 574, 3834, 3258, 236792, 195458, 1298, 672, 691, 1603, 41218, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236812, 236774, 236771, 236819, 236787, 236770, 236778, 236787, 236800, 236800, 236953, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236786, 1871, 508, 236779, 8776, 236761, 4034, 25938, 1604, 623, 14210, 1083, 623, 16679, 52236, 573, 15345, 756, 236765, 10691, 5680, 236744, 236779, 1166, 557, 4873, 6748, 669, 2430, 15633, 28250, 573, 12091, 11062, 4465, 4830, 1808, 236789, 753, 5091, 9128, 768, 672, 563, 506, 10518, 8781, 653, 768, 496, 1607, 15345, 1374, 577, 15593, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236858, 236751, 506, 3671, 529, 822, 8781, 532, 9180, 16616, 236787, 108, 7243, 108, 10354, 5213, 240732, 1392, 11062, 4465, 4830, 1808, 29520, 7179, 1018, 138, 107, 236772, 5213, 46065, 66515, 27717, 25000, 607, 822, 5500, 236888, 138, 107, 138, 71510, 146277, 51100, 236772, 1071, 236772, 4199, 236772, 3524, 28992, 5931, 2780, 1390, 44018, 26339, 236743, 247861, 238178, 14105, 23642, 24002, 236829, 138, 107, 138, 139421, 236787, 4140, 496, 2246, 236772, 1071, 236772, 2064, 1133, 808, 236913, 27447, 573, 16789, 23642, 13348, 236829, 531, 12277, 15154, 236761, 138, 107, 236772, 5213, 27447, 497, 4308, 66515, 236743, 236770, 236810, 236761, 236778, 236855, 568, 37841, 3877, 15520, 138, 107, 236772, 5213, 47619, 49040, 66515, 138, 107, 138, 236770, 236761, 19653, 3701, 808, 818, 10798, 574, 657, 1834, 236792, 195458, 236829, 607, 997, 60891, 90829, 25174, 236761, 138, 107, 138, 236778, 236761, 118189, 524, 75650, 58832, 236858, 236751, 607, 997, 236797, 3769, 2714, 109846, 236761, 138, 107, 138, 22186, 12714, 1161, 44018, 236786, 20656, 2780, 111730, 532, 2263, 23948, 237028, 50936, 573, 822, 44249, 236761, 138, 108, 7243, 108, 10354, 5213, 244343, 29223, 10365, 121903, 1018, 138, 107, 236770, 236761, 5213, 818, 10798, 574, 657, 1834, 236792, 195458, 1018, 138, 107, 139, 236772, 5213, 29338, 66515, 1392, 1437, 2152, 12952, 6279, 195458, 138, 107, 139, 236772, 5213, 46065, 66515, 808, 236913, 11905, 42872, 236772, 11811, 5931, 2780, 833, 48163, 1109, 43902, 1834, 236792, 195458, 18338, 236919, 236829, 138, 107, 139, 236772, 5213, 27447, 616, 66515, 236743, 236770, 236778, 236761, 236812, 236855, 138, 107, 139, 236772, 5213, 47619, 49040, 66515, 4504, 15320, 208362, 6835, 833, 13840, 236764, 111984, 20501, 39029, 568, 36713, 2780, 3004, 769, 138, 107, 139, 236772, 5213, 6717, 66515, 23531, 532, 7798, 237028, 9088, 1091, 528, 51100, 236772, 41889, 12714, 236888, 138, 108, 236778, 236761, 5213, 15600, 703, 58832, 236858, 236751, 78001, 5407, 1018, 138, 107, 139, 236772, 5213, 29338, 66515, 1392, 236765, 10691, 5680, 236744, 236779, 1166, 557, 4873, 138, 107, 139, 236772, 5213, 46065, 66515, 808, 236913, 150143, 872, 147211, 14105, 5931, 2780, 607, 496, 44018, 26339, 236919, 236829, 138, 107, 139, 236772, 5213, 27447, 616, 66515, 236743, 236770, 236778, 236761, 236810, 236855, 138, 107, 139, 236772, 5213, 47619, 49040, 66515, 4504, 15320, 208362, 6835, 538, 236858, 13840, 236764, 111984, 132419, 3789, 568, 68020, 56188, 1392, 818, 19254, 574, 3834, 3258, 236792, 195458, 42035, 138, 107, 139, 236772, 5213, 10282, 66515, 9963, 15345, 815, 496, 116896, 14083, 1166, 557, 4873, 236829, 7728, 236761, 808, 212705, 6367, 236829, 779, 840, 506, 8781, 563, 4341, 236761, 138, 108, 7243, 108, 10354, 5213, 242083, 12067, 50228, 1018, 138, 107, 236770, 236761, 5213, 12345, 3801, 66515, 6890, 182615, 1437, 2152, 12952, 6279, 195458, 236929, 532, 182615, 236765, 10691, 5680, 236744, 236779, 1166, 557, 4873, 236929, 528, 12714, 236786, 86563, 531, 4071, 236772, 211268, 236761, 138, 107, 236778, 236761, 5213, 221528, 66515, 14066, 83431, 1091, 528, 15028, 67529, 568, 236744, 236761, 236759, 1126, 808, 236913, 128345, 684, 75650, 58832, 236858, 236751, 13348, 236829, 769, 138, 107, 236800, 236761, 5213, 16679, 62840, 66515, 4140, 496, 3205, 531, 822, 6524, 44018, 15028, 528, 822, 12780, 573, 1982, 8827, 236761, 138, 108, 11069, 5500, 25000, 563, 5139, 237028, 27611, 64004, 1239, 2263, 23948, 236888, 236743, 248705, 240785, 3792, 786, 1281, 768, 611, 1202, 68324, 146212, 573, 3530, 12714, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 111147, 236761, 564, 236789, 236757, 17373, 496, 6647, 16183, 573, 6214, 657, 506, 3399, 3988, 1003, 2263, 45125, 42433, 236764, 532, 564, 1202, 531, 4926, 496, 5385, 5557, 600, 236789, 236751, 3364, 528, 506, 8098, 39571, 236764, 1908, 236772, 643, 43458, 236764, 532, 6338, 573, 12524, 54233, 236761, 5315, 236764, 564, 1202, 496, 1694, 529, 5385, 5557, 528, 506, 8098, 39571, 4128, 607, 910, 16672, 4981, 236761, 4298, 236764, 564, 236789, 859, 4864, 886, 1908, 236772, 643, 43458, 5557, 699, 600, 1694, 532, 974, 496, 8652, 6492, 573, 506, 16183, 236761, 3199, 611, 1601, 786, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14967, 236779, 38903, 1083, 78493, 11147, 236779, 1201, 1083, 623, 64947, 105376, 827, 623, 96066, 236779, 1201, 1083, 623, 14319, 915, 47288, 4527, 571, 236755, 1974, 827, 623, 184507, 236779, 4818, 1083, 623, 148305, 75786, 827, 623, 13647, 1083, 623, 20418, 39571, 23179, 3714, 11147, 236779, 1201, 1083, 623, 30629, 98178, 827, 623, 96066, 236779, 1201, 1083, 623, 236773, 6981, 196838, 605, 827, 623, 184507, 236779, 4818, 1083, 623, 148305, 75786, 827, 623, 13647, 1083, 623, 20418, 39571, 23179, 3714, 11147, 236779, 1201, 1083, 623, 37154, 3398, 574, 827, 623, 96066, 236779, 1201, 1083, 623, 236791, 16336, 223364, 79859, 827, 623, 184507, 236779, 4818, 1083, 623, 148305, 75786, 827, 623, 13647, 1083, 623, 20418, 39571, 236775, 165075, 106, 107, 105, 4368, 107, 22515, 580, 506, 1694, 529, 5385, 5557, 699, 506, 8098, 39571, 4128, 236764, 1590, 236789, 236751, 496, 9273, 5086, 573, 822, 12524, 29528, 236787, 108, 1018, 37154, 3398, 574, 1018, 14083, 236791, 16336, 223364, 79859, 17616, 138, 107, 236772, 5213, 172476, 18365, 66515, 132180, 75786, 568, 9181, 236772, 643, 43458, 236768, 138, 107, 236772, 5213, 11355, 625, 236789, 236751, 7436, 66515, 1174, 5557, 563, 31295, 528, 506, 8098, 39571, 236764, 815, 28239, 7070, 236772, 10671, 31838, 607, 29039, 4996, 41827, 236764, 532, 563, 14003, 1456, 528, 12524, 7846, 2779, 531, 1061, 2651, 1583, 532, 3582, 5663, 4065, 236761, 1030, 10772, 496, 2307, 3853, 528, 506, 18481, 618, 1800, 83297, 532, 34285, 236764, 3043, 625, 496, 1822, 2591, 573, 24048, 2780, 21896, 532, 22790, 15459, 236761, 108, 38786, 611, 1133, 531, 7162, 607, 672, 5557, 236764, 653, 1093, 611, 5278, 2264, 5086, 699, 506, 1694, 568, 64947, 105376, 653, 10066, 98178, 20625, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 111147, 236761, 564, 236789, 236757, 17373, 496, 6647, 16183, 573, 6214, 657, 506, 3399, 3988, 1003, 2263, 45125, 42433, 236764, 532, 564, 1202, 531, 4926, 496, 5385, 5557, 600, 236789, 236751, 3364, 528, 506, 8098, 39571, 236764, 1908, 236772, 643, 43458, 236764, 532, 6338, 573, 12524, 54233, 236761, 5315, 236764, 564, 1202, 496, 1694, 529, 5385, 5557, 528, 506, 8098, 39571, 4128, 607, 910, 16672, 4981, 236761, 4298, 236764, 564, 236789, 859, 4864, 886, 1908, 236772, 643, 43458, 5557, 699, 600, 1694, 532, 974, 496, 8652, 6492, 573, 506, 16183, 236761, 3199, 611, 1601, 786, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14967, 236779, 38903, 1083, 78493, 11147, 236779, 1201, 1083, 623, 64947, 105376, 827, 623, 96066, 236779, 1201, 1083, 623, 14319, 915, 47288, 4527, 571, 236755, 1974, 827, 623, 184507, 236779, 4818, 1083, 623, 148305, 75786, 827, 623, 13647, 1083, 623, 20418, 39571, 23179, 3714, 11147, 236779, 1201, 1083, 623, 30629, 98178, 827, 623, 96066, 236779, 1201, 1083, 623, 236773, 6981, 196838, 605, 827, 623, 184507, 236779, 4818, 1083, 623, 148305, 75786, 827, 623, 13647, 1083, 623, 20418, 39571, 23179, 3714, 11147, 236779, 1201, 1083, 623, 37154, 3398, 574, 827, 623, 96066, 236779, 1201, 1083, 623, 236791, 16336, 223364, 79859, 827, 623, 184507, 236779, 4818, 1083, 623, 148305, 75786, 827, 623, 13647, 1083, 623, 20418, 39571, 236775, 165075, 106, 107, 105, 4368, 107, 22515, 580, 506, 1694, 529, 5385, 5557, 699, 506, 8098, 39571, 4128, 236764, 1590, 236789, 236751, 496, 9273, 5086, 573, 822, 12524, 29528, 236787, 108, 1018, 37154, 3398, 574, 1018, 14083, 236791, 16336, 223364, 79859, 17616, 138, 107, 236772, 5213, 172476, 18365, 66515, 132180, 75786, 568, 9181, 236772, 643, 43458, 236768, 138, 107, 236772, 5213, 11355, 625, 236789, 236751, 7436, 66515, 1174, 5557, 563, 31295, 528, 506, 8098, 39571, 236764, 815, 28239, 7070, 236772, 10671, 31838, 607, 29039, 4996, 41827, 236764, 532, 563, 14003, 1456, 528, 12524, 7846, 2779, 531, 1061, 2651, 1583, 532, 3582, 5663, 4065, 236761, 1030, 10772, 496, 2307, 3853, 528, 506, 18481, 618, 1800, 83297, 532, 34285, 236764, 3043, 625, 496, 1822, 2591, 573, 24048, 2780, 21896, 532, 22790, 15459, 236761, 108, 38786, 611, 1133, 531, 7162, 607, 672, 5557, 236764, 653, 1093, 611, 5278, 2264, 5086, 699, 506, 1694, 568, 64947, 105376, 653, 10066, 98178, 20625, 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, 7500, 4458, 2487, 528, 1023, 33249, 236754, 2902, 26551, 531, 8701, 28597, 236772, 18865, 3835, 573, 20329, 13726, 14227, 528, 26431, 236789, 236751, 122751, 41916, 236761, 3199, 611, 1407, 786, 784, 7500, 4458, 607, 910, 20985, 236786, 115294, 13473, 40957, 532, 4065, 1699, 506, 6780, 5904, 236881, 1174, 795, 1601, 786, 1668, 496, 3399, 236772, 41889, 3826, 25028, 17358, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41239, 236779, 9846, 1083, 78493, 10618, 1083, 623, 178131, 127704, 827, 623, 103570, 236779, 48578, 1083, 236743, 236812, 236764, 623, 115294, 13473, 236779, 48578, 1083, 236743, 236778, 236764, 623, 16518, 1083, 11058, 17995, 136229, 827, 623, 98054, 129935, 827, 623, 147716, 27737, 152254, 3714, 10618, 1083, 623, 126945, 827, 623, 103570, 236779, 48578, 1083, 236743, 236825, 236764, 623, 115294, 13473, 236779, 48578, 1083, 236743, 236810, 236764, 623, 16518, 1083, 11058, 236812, 31284, 827, 623, 195746, 81637, 827, 623, 131022, 7850, 19993, 152254, 3714, 10618, 1083, 623, 47148, 40088, 827, 623, 103570, 236779, 48578, 1083, 236743, 236812, 236764, 623, 115294, 13473, 236779, 48578, 1083, 236743, 236800, 236764, 623, 16518, 1083, 11058, 29337, 138183, 827, 623, 5024, 1026, 1280, 171427, 522, 827, 623, 37568, 110283, 152254, 3714, 10618, 1083, 623, 7762, 23617, 827, 623, 103570, 236779, 48578, 1083, 236743, 236832, 236764, 623, 115294, 13473, 236779, 48578, 1083, 236743, 236825, 236764, 623, 16518, 1083, 11058, 63451, 24438, 221220, 827, 623, 23301, 33775, 827, 623, 158720, 7850, 152254, 3714, 10618, 1083, 623, 131022, 89645, 1942, 827, 623, 103570, 236779, 48578, 1083, 236743, 236810, 236764, 623, 115294, 13473, 236779, 48578, 1083, 236743, 236800, 236764, 623, 16518, 1083, 11058, 77603, 91837, 827, 623, 35153, 32319, 9463, 827, 623, 75896, 56297, 19993, 152254, 3714, 10618, 1083, 623, 120392, 127704, 827, 623, 103570, 236779, 48578, 1083, 236743, 236812, 236764, 623, 115294, 13473, 236779, 48578, 1083, 236743, 236812, 236764, 623, 16518, 1083, 11058, 164886, 191123, 827, 623, 49789, 16661, 33775, 827, 623, 164761, 236772, 495, 50154, 1935, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 7500, 4458, 607, 28597, 236772, 18865, 3835, 24724, 573, 822, 13726, 14227, 17358, 236787, 108, 1018, 147716, 236772, 83899, 40088, 28636, 53121, 108, 236770, 236761, 5213, 47148, 40088, 568, 22486, 62902, 107, 139, 236772, 101390, 61242, 236787, 236743, 236812, 107, 139, 236772, 58902, 13473, 61242, 236787, 236743, 236800, 107, 139, 236772, 9533, 25772, 236787, 31234, 138183, 236764, 176088, 1280, 171427, 522, 236764, 20148, 110283, 107, 139, 236772, 45891, 573, 236787, 14063, 236786, 6848, 236772, 8572, 22817, 607, 11893, 8646, 4100, 108, 236778, 236761, 5213, 131022, 89645, 1942, 1018, 107, 139, 236772, 101390, 61242, 236787, 236743, 236810, 107, 139, 236772, 58902, 13473, 61242, 236787, 236743, 236800, 107, 139, 236772, 9533, 25772, 236787, 38039, 91837, 568, 131022, 7850, 779, 29277, 56297, 19993, 236764, 15735, 32319, 9463, 107, 139, 236772, 45891, 573, 236787, 56359, 12985, 13726, 5453, 236772, 2086, 3835, 108, 236800, 236761, 5213, 126945, 568, 131022, 7850, 19993, 62902, 107, 139, 236772, 101390, 61242, 236787, 236743, 236825, 107, 139, 236772, 58902, 13473, 61242, 236787, 236743, 236810, 107, 139, 236772, 9533, 25772, 236787, 236743, 236812, 31284, 900, 50154, 7850, 19993, 236764, 56297, 81637, 107, 139, 236772, 7918, 236787, 10522, 11409, 28597, 236772, 16518, 568, 18500, 17051, 16217, 236768, 108, 1018, 13517, 107452, 53121, 107, 236772, 669, 16455, 40088, 563, 506, 1186, 9995, 5743, 236772, 97883, 5086, 107, 236772, 50154, 89645, 1942, 5469, 1791, 7002, 529, 6541, 532, 24488, 107, 236772, 3079, 23617, 568, 158720, 236768, 532, 59169, 127704, 735, 18661, 28597, 236772, 16518, 107, 236772, 39949, 127704, 815, 5809, 47002, 6541, 573, 2523, 3548, 108, 2542, 26431, 236789, 236751, 122751, 41916, 236764, 506, 50154, 89645, 1942, 532, 16455, 40088, 12669, 3196, 1346, 23284, 573, 20329, 13726, 25028, 1651, 73277, 12801, 2523, 11550, 236761, 21284, 611, 1133, 786, 531, 2847, 4767, 1262, 580, 7500, 5296, 653, 15830, 9935, 236881, 106, 107, 105, 2364, 107, 2021, 2480, 3050, 1217, 531, 30016, 28597, 236772, 18865, 11182, 1428, 39629, 3418, 26431, 236764, 1451, 611, 33205, 506, 1873, 42442, 5296, 1262, 573, 16455, 83436, 532, 50154, 89645, 26062, 1699, 506, 2165, 4919, 712, 41239, 236929, 5904, 607, 4563, 18774, 236881, 564, 236858, 236753, 1133, 531, 4071, 236772, 30449, 672, 607, 122751, 41916, 1133, 7123, 26431, 236764, 4844, 8006, 236764, 532, 176792, 531, 8701, 28893, 528, 2802, 236761, 1174, 795, 1601, 56856, 29436, 528, 4106, 607, 1800, 1494, 1202, 532, 2708, 1873, 15830, 236761, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 26919, 753, 1308, 35329, 506, 2487, 6436, 236764, 564, 6303, 600, 1651, 692, 740, 33205, 7500, 18241, 1262, 1699, 506, 2165, 4919, 712, 41239, 236929, 5904, 236764, 625, 4038, 236789, 236745, 3204, 42442, 4563, 6137, 528, 1061, 1873, 9831, 236761, 669, 5904, 5862, 35129, 684, 7500, 1722, 532, 4981, 840, 40826, 4563, 236772, 5140, 18774, 236761, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 91820, 506, 1873, 26551, 18241, 529, 16455, 83436, 532, 50154, 89645, 26062, 1699, 506, 2487, 18774, 236881, 107, 236778, 236761, 59336, 1217, 531, 14439, 672, 1262, 607, 42442, 1938, 699, 2264, 3738, 236881, 107, 236800, 236761, 19536, 12262, 496, 2864, 573, 4767, 5904, 15858, 531, 3204, 4563, 236772, 5140, 35129, 236881, 108, 236777, 740, 13707, 2918, 236743, 236770, 6842, 1699, 506, 2165, 4919, 712, 41239, 236929, 5904, 607, 7500, 236779, 2084, 18774, 236764, 840, 692, 1093, 1202, 531, 4071, 236772, 30449, 607, 8398, 4563, 1262, 531, 4133, 506, 42442, 3671, 236761, 106, 107, 105, 2364, 107, 236777, 3050, 506, 5904, 16305, 236761, 3792, 236789, 236751, 7162, 607, 2918, 236743, 236770, 1171, 753, 5091, 33205, 506, 1873, 26551, 18241, 529, 16455, 83436, 532, 50154, 89645, 26062, 1699, 506, 2165, 4919, 712, 41239, 236929, 5904, 607, 7500, 236779, 2084, 18774, 236761, 9920, 692, 735, 672, 29645, 1262, 236764, 692, 740, 3249, 1217, 531, 6352, 528, 42442, 3671, 1699, 8398, 32542, 1133, 12960, 65911, 17253, 653, 1237, 28048, 28893, 236761, 3199, 611, 992, 3204, 7500, 4981, 568, 18700, 236786, 5034, 236768, 528, 506, 7609, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 95007, 1083, 78493, 41239, 236779, 547, 1083, 623, 22486, 236770, 236778, 236800, 236812, 236810, 827, 623, 41239, 236779, 2084, 1083, 623, 30026, 236779, 41239, 827, 623, 9636, 1083, 623, 132473, 827, 623, 4368, 1083, 623, 4968, 236743, 236800, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 4818, 1083, 623, 5034, 827, 623, 95620, 236779, 48578, 1083, 623, 236832, 236810, 101491, 827, 623, 8572, 1083, 623, 236800, 236810, 236771, 7635, 23179, 3714, 41239, 236779, 547, 1083, 623, 22486, 236770, 236778, 236800, 236812, 236825, 827, 623, 41239, 236779, 2084, 1083, 623, 30026, 236779, 41239, 827, 623, 9636, 1083, 623, 135001, 827, 623, 4368, 1083, 623, 226338, 11514, 236847, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 4818, 1083, 623, 5034, 827, 623, 95620, 236779, 48578, 1083, 623, 236825, 236810, 101491, 827, 623, 8572, 1083, 623, 236778, 236812, 236832, 7635, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 41239, 236779, 2084, 1083, 623, 30026, 236779, 41239, 827, 623, 4818, 1083, 623, 5034, 23179, 623, 17846, 1083, 236743, 236770, 236771, 236771, 236764, 623, 10617, 1083, 236743, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 95007, 1083, 78493, 41239, 236779, 547, 1083, 623, 236847, 236770, 236778, 236800, 236812, 236810, 827, 623, 41239, 236779, 2084, 1083, 623, 4554, 827, 623, 4818, 1083, 623, 5034, 827, 623, 7125, 1083, 3714, 37673, 1083, 236743, 236800, 236832, 236761, 236832, 236832, 236812, 236819, 236764, 623, 41713, 1083, 753, 236770, 236778, 236778, 236761, 236812, 236770, 236819, 236812, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 23179, 3714, 41239, 236779, 547, 1083, 623, 236847, 236825, 236832, 236828, 236819, 236771, 827, 623, 41239, 236779, 2084, 1083, 623, 4554, 827, 623, 4818, 1083, 623, 5034, 827, 623, 7125, 1083, 3714, 37673, 1083, 236743, 236800, 236812, 236761, 236771, 236810, 236778, 236778, 236764, 623, 41713, 1083, 753, 236770, 236770, 236828, 236761, 236778, 236812, 236800, 236832, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236812, 236810, 236953, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236778, 236764, 623, 17846, 1083, 236743, 236770, 236771, 236771, 236764, 623, 10617, 1083, 236743, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 29645, 18241, 1262, 52236, 573, 5898, 11182, 532, 2870, 1295, 4458, 568, 7650, 1093, 3204, 16217, 39173, 26062, 768, 74252, 1208, 4077, 1295, 4458, 1473, 108, 1018, 47148, 83436, 568, 14009, 18365, 1473, 1018, 107, 236772, 5213, 9640, 18326, 53121, 236743, 236812, 236778, 6630, 107, 236772, 5213, 3503, 40121, 53121, 35620, 9483, 236743, 236800, 568, 236778, 236771, 236778, 236800, 779, 63697, 79785, 11514, 236847, 568, 236778, 236771, 236778, 236778, 236768, 107, 236772, 5213, 178132, 67831, 53121, 236743, 107, 138, 236772, 46357, 21280, 699, 236743, 236778, 236812, 236832, 236772, 236800, 236810, 236771, 7635, 107, 138, 236772, 34980, 2028, 1518, 568, 236778, 236771, 236778, 236778, 236772, 236778, 236771, 236778, 236800, 236768, 108, 1018, 21108, 50267, 568, 14009, 18365, 753, 49308, 50154, 51508, 1473, 1018, 107, 236772, 5213, 9640, 18326, 53121, 236743, 236812, 236778, 6630, 568, 13271, 3831, 19920, 1295, 1722, 236768, 107, 236772, 5213, 19469, 92536, 53121, 236743, 107, 138, 236772, 165356, 236743, 236800, 236832, 236761, 236832, 236832, 236812, 236819, 965, 8099, 4637, 753, 236770, 236778, 236778, 236761, 236812, 236770, 236819, 236812, 568, 23243, 14322, 236768, 107, 138, 236772, 165356, 236743, 236800, 236812, 236761, 236771, 236810, 236778, 236778, 965, 8099, 4637, 753, 236770, 236770, 236828, 236761, 236778, 236812, 236800, 236832, 568, 18939, 13245, 236768, 107, 236772, 5213, 10282, 53121, 50154, 39173, 26062, 3196, 531, 577, 74252, 1208, 2870, 623, 4554, 236775, 1722, 840, 6220, 3530, 1159, 236772, 59137, 528, 506, 5904, 3072, 108, 1018, 89740, 137727, 229414, 53121, 107, 236770, 236761, 50154, 11182, 10050, 236789, 236745, 10916, 8385, 528, 506, 1262, 3904, 107, 236778, 236761, 73888, 4563, 1262, 5889, 236789, 236745, 2487, 1343, 506, 7500, 9299, 107, 236800, 236761, 2301, 7500, 236772, 15396, 4065, 568, 236744, 236761, 236759, 1126, 10321, 11414, 236764, 16217, 3958, 236768, 3196, 528, 506, 3072, 108, 1018, 201430, 573, 12067, 50228, 53121, 107, 236770, 236761, 18975, 564, 2864, 12496, 531, 506, 5904, 18544, 531, 3204, 236787, 107, 139, 236772, 50154, 7500, 1159, 236772, 9846, 528, 506, 7500, 236779, 2084, 32377, 236881, 107, 139, 236772, 37868, 236772, 5140, 35129, 568, 236744, 236761, 236759, 1126, 623, 90987, 236779, 19072, 827, 623, 80465, 236779, 80811, 1373, 236881, 107, 139, 236772, 73888, 15375, 528, 7500, 8735, 236881, 108, 236778, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 139, 236772, 12713, 236772, 30449, 672, 1262, 607, 8398, 12960, 86236, 236881, 107, 139, 236772, 121353, 3435, 28893, 1699, 1237, 28048, 12606, 13571, 236881, 107, 139, 236772, 6521, 496, 15523, 573, 16595, 7500, 16074, 15858, 236881, 108, 818, 1873, 1262, 12205, 4745, 5296, 1534, 116629, 532, 4077, 9371, 568, 236812, 236778, 1546, 528, 506, 5498, 779, 840, 692, 6220, 506, 178371, 4354, 573, 18997, 28597, 236772, 18865, 7500, 3671, 236761, 2088, 1093, 611, 1133, 531, 7162, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 18840, 506, 1873, 7500, 4458, 2487, 528, 1023, 33249, 236754, 2902, 26551, 531, 8701, 28597, 236772, 18865, 3835, 573, 20329, 13726, 14227, 528, 26431, 236789, 236751, 122751, 41916, 236761, 3199, 611, 1407, 786, 784, 7500, 4458, 607, 910, 20985, 236786, 115294, 13473, 40957, 532, 4065, 1699, 506, 6780, 5904, 236881, 1174, 795, 1601, 786, 1668, 496, 3399, 236772, 41889, 3826, 25028, 17358, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41239, 236779, 9846, 1083, 78493, 10618, 1083, 623, 178131, 127704, 827, 623, 103570, 236779, 48578, 1083, 236743, 236812, 236764, 623, 115294, 13473, 236779, 48578, 1083, 236743, 236778, 236764, 623, 16518, 1083, 11058, 17995, 136229, 827, 623, 98054, 129935, 827, 623, 147716, 27737, 152254, 3714, 10618, 1083, 623, 126945, 827, 623, 103570, 236779, 48578, 1083, 236743, 236825, 236764, 623, 115294, 13473, 236779, 48578, 1083, 236743, 236810, 236764, 623, 16518, 1083, 11058, 236812, 31284, 827, 623, 195746, 81637, 827, 623, 131022, 7850, 19993, 152254, 3714, 10618, 1083, 623, 47148, 40088, 827, 623, 103570, 236779, 48578, 1083, 236743, 236812, 236764, 623, 115294, 13473, 236779, 48578, 1083, 236743, 236800, 236764, 623, 16518, 1083, 11058, 29337, 138183, 827, 623, 5024, 1026, 1280, 171427, 522, 827, 623, 37568, 110283, 152254, 3714, 10618, 1083, 623, 7762, 23617, 827, 623, 103570, 236779, 48578, 1083, 236743, 236832, 236764, 623, 115294, 13473, 236779, 48578, 1083, 236743, 236825, 236764, 623, 16518, 1083, 11058, 63451, 24438, 221220, 827, 623, 23301, 33775, 827, 623, 158720, 7850, 152254, 3714, 10618, 1083, 623, 131022, 89645, 1942, 827, 623, 103570, 236779, 48578, 1083, 236743, 236810, 236764, 623, 115294, 13473, 236779, 48578, 1083, 236743, 236800, 236764, 623, 16518, 1083, 11058, 77603, 91837, 827, 623, 35153, 32319, 9463, 827, 623, 75896, 56297, 19993, 152254, 3714, 10618, 1083, 623, 120392, 127704, 827, 623, 103570, 236779, 48578, 1083, 236743, 236812, 236764, 623, 115294, 13473, 236779, 48578, 1083, 236743, 236812, 236764, 623, 16518, 1083, 11058, 164886, 191123, 827, 623, 49789, 16661, 33775, 827, 623, 164761, 236772, 495, 50154, 1935, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 529, 7500, 4458, 607, 28597, 236772, 18865, 3835, 24724, 573, 822, 13726, 14227, 17358, 236787, 108, 1018, 147716, 236772, 83899, 40088, 28636, 53121, 108, 236770, 236761, 5213, 47148, 40088, 568, 22486, 62902, 107, 139, 236772, 101390, 61242, 236787, 236743, 236812, 107, 139, 236772, 58902, 13473, 61242, 236787, 236743, 236800, 107, 139, 236772, 9533, 25772, 236787, 31234, 138183, 236764, 176088, 1280, 171427, 522, 236764, 20148, 110283, 107, 139, 236772, 45891, 573, 236787, 14063, 236786, 6848, 236772, 8572, 22817, 607, 11893, 8646, 4100, 108, 236778, 236761, 5213, 131022, 89645, 1942, 1018, 107, 139, 236772, 101390, 61242, 236787, 236743, 236810, 107, 139, 236772, 58902, 13473, 61242, 236787, 236743, 236800, 107, 139, 236772, 9533, 25772, 236787, 38039, 91837, 568, 131022, 7850, 779, 29277, 56297, 19993, 236764, 15735, 32319, 9463, 107, 139, 236772, 45891, 573, 236787, 56359, 12985, 13726, 5453, 236772, 2086, 3835, 108, 236800, 236761, 5213, 126945, 568, 131022, 7850, 19993, 62902, 107, 139, 236772, 101390, 61242, 236787, 236743, 236825, 107, 139, 236772, 58902, 13473, 61242, 236787, 236743, 236810, 107, 139, 236772, 9533, 25772, 236787, 236743, 236812, 31284, 900, 50154, 7850, 19993, 236764, 56297, 81637, 107, 139, 236772, 7918, 236787, 10522, 11409, 28597, 236772, 16518, 568, 18500, 17051, 16217, 236768, 108, 1018, 13517, 107452, 53121, 107, 236772, 669, 16455, 40088, 563, 506, 1186, 9995, 5743, 236772, 97883, 5086, 107, 236772, 50154, 89645, 1942, 5469, 1791, 7002, 529, 6541, 532, 24488, 107, 236772, 3079, 23617, 568, 158720, 236768, 532, 59169, 127704, 735, 18661, 28597, 236772, 16518, 107, 236772, 39949, 127704, 815, 5809, 47002, 6541, 573, 2523, 3548, 108, 2542, 26431, 236789, 236751, 122751, 41916, 236764, 506, 50154, 89645, 1942, 532, 16455, 40088, 12669, 3196, 1346, 23284, 573, 20329, 13726, 25028, 1651, 73277, 12801, 2523, 11550, 236761, 21284, 611, 1133, 786, 531, 2847, 4767, 1262, 580, 7500, 5296, 653, 15830, 9935, 236881, 106, 107, 105, 2364, 107, 2021, 2480, 3050, 1217, 531, 30016, 28597, 236772, 18865, 11182, 1428, 39629, 3418, 26431, 236764, 1451, 611, 33205, 506, 1873, 42442, 5296, 1262, 573, 16455, 83436, 532, 50154, 89645, 26062, 1699, 506, 2165, 4919, 712, 41239, 236929, 5904, 607, 4563, 18774, 236881, 564, 236858, 236753, 1133, 531, 4071, 236772, 30449, 672, 607, 122751, 41916, 1133, 7123, 26431, 236764, 4844, 8006, 236764, 532, 176792, 531, 8701, 28893, 528, 2802, 236761, 1174, 795, 1601, 56856, 29436, 528, 4106, 607, 1800, 1494, 1202, 532, 2708, 1873, 15830, 236761, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 26919, 753, 1308, 35329, 506, 2487, 6436, 236764, 564, 6303, 600, 1651, 692, 740, 33205, 7500, 18241, 1262, 1699, 506, 2165, 4919, 712, 41239, 236929, 5904, 236764, 625, 4038, 236789, 236745, 3204, 42442, 4563, 6137, 528, 1061, 1873, 9831, 236761, 669, 5904, 5862, 35129, 684, 7500, 1722, 532, 4981, 840, 40826, 4563, 236772, 5140, 18774, 236761, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 91820, 506, 1873, 26551, 18241, 529, 16455, 83436, 532, 50154, 89645, 26062, 1699, 506, 2487, 18774, 236881, 107, 236778, 236761, 59336, 1217, 531, 14439, 672, 1262, 607, 42442, 1938, 699, 2264, 3738, 236881, 107, 236800, 236761, 19536, 12262, 496, 2864, 573, 4767, 5904, 15858, 531, 3204, 4563, 236772, 5140, 35129, 236881, 108, 236777, 740, 13707, 2918, 236743, 236770, 6842, 1699, 506, 2165, 4919, 712, 41239, 236929, 5904, 607, 7500, 236779, 2084, 18774, 236764, 840, 692, 1093, 1202, 531, 4071, 236772, 30449, 607, 8398, 4563, 1262, 531, 4133, 506, 42442, 3671, 236761, 106, 107, 105, 2364, 107, 236777, 3050, 506, 5904, 16305, 236761, 3792, 236789, 236751, 7162, 607, 2918, 236743, 236770, 1171, 753, 5091, 33205, 506, 1873, 26551, 18241, 529, 16455, 83436, 532, 50154, 89645, 26062, 1699, 506, 2165, 4919, 712, 41239, 236929, 5904, 607, 7500, 236779, 2084, 18774, 236761, 9920, 692, 735, 672, 29645, 1262, 236764, 692, 740, 3249, 1217, 531, 6352, 528, 42442, 3671, 1699, 8398, 32542, 1133, 12960, 65911, 17253, 653, 1237, 28048, 28893, 236761, 3199, 611, 992, 3204, 7500, 4981, 568, 18700, 236786, 5034, 236768, 528, 506, 7609, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 95007, 1083, 78493, 41239, 236779, 547, 1083, 623, 22486, 236770, 236778, 236800, 236812, 236810, 827, 623, 41239, 236779, 2084, 1083, 623, 30026, 236779, 41239, 827, 623, 9636, 1083, 623, 132473, 827, 623, 4368, 1083, 623, 4968, 236743, 236800, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 4818, 1083, 623, 5034, 827, 623, 95620, 236779, 48578, 1083, 623, 236832, 236810, 101491, 827, 623, 8572, 1083, 623, 236800, 236810, 236771, 7635, 23179, 3714, 41239, 236779, 547, 1083, 623, 22486, 236770, 236778, 236800, 236812, 236825, 827, 623, 41239, 236779, 2084, 1083, 623, 30026, 236779, 41239, 827, 623, 9636, 1083, 623, 135001, 827, 623, 4368, 1083, 623, 226338, 11514, 236847, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 4818, 1083, 623, 5034, 827, 623, 95620, 236779, 48578, 1083, 623, 236825, 236810, 101491, 827, 623, 8572, 1083, 623, 236778, 236812, 236832, 7635, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 41239, 236779, 2084, 1083, 623, 30026, 236779, 41239, 827, 623, 4818, 1083, 623, 5034, 23179, 623, 17846, 1083, 236743, 236770, 236771, 236771, 236764, 623, 10617, 1083, 236743, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 95007, 1083, 78493, 41239, 236779, 547, 1083, 623, 236847, 236770, 236778, 236800, 236812, 236810, 827, 623, 41239, 236779, 2084, 1083, 623, 4554, 827, 623, 4818, 1083, 623, 5034, 827, 623, 7125, 1083, 3714, 37673, 1083, 236743, 236800, 236832, 236761, 236832, 236832, 236812, 236819, 236764, 623, 41713, 1083, 753, 236770, 236778, 236778, 236761, 236812, 236770, 236819, 236812, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 23179, 3714, 41239, 236779, 547, 1083, 623, 236847, 236825, 236832, 236828, 236819, 236771, 827, 623, 41239, 236779, 2084, 1083, 623, 4554, 827, 623, 4818, 1083, 623, 5034, 827, 623, 7125, 1083, 3714, 37673, 1083, 236743, 236800, 236812, 236761, 236771, 236810, 236778, 236778, 236764, 623, 41713, 1083, 753, 236770, 236770, 236828, 236761, 236778, 236812, 236800, 236832, 1263, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236812, 236810, 236953, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236812, 236778, 236764, 623, 17846, 1083, 236743, 236770, 236771, 236771, 236764, 623, 10617, 1083, 236743, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 29645, 18241, 1262, 52236, 573, 5898, 11182, 532, 2870, 1295, 4458, 568, 7650, 1093, 3204, 16217, 39173, 26062, 768, 74252, 1208, 4077, 1295, 4458, 1473, 108, 1018, 47148, 83436, 568, 14009, 18365, 1473, 1018, 107, 236772, 5213, 9640, 18326, 53121, 236743, 236812, 236778, 6630, 107, 236772, 5213, 3503, 40121, 53121, 35620, 9483, 236743, 236800, 568, 236778, 236771, 236778, 236800, 779, 63697, 79785, 11514, 236847, 568, 236778, 236771, 236778, 236778, 236768, 107, 236772, 5213, 178132, 67831, 53121, 236743, 107, 138, 236772, 46357, 21280, 699, 236743, 236778, 236812, 236832, 236772, 236800, 236810, 236771, 7635, 107, 138, 236772, 34980, 2028, 1518, 568, 236778, 236771, 236778, 236778, 236772, 236778, 236771, 236778, 236800, 236768, 108, 1018, 21108, 50267, 568, 14009, 18365, 753, 49308, 50154, 51508, 1473, 1018, 107, 236772, 5213, 9640, 18326, 53121, 236743, 236812, 236778, 6630, 568, 13271, 3831, 19920, 1295, 1722, 236768, 107, 236772, 5213, 19469, 92536, 53121, 236743, 107, 138, 236772, 165356, 236743, 236800, 236832, 236761, 236832, 236832, 236812, 236819, 965, 8099, 4637, 753, 236770, 236778, 236778, 236761, 236812, 236770, 236819, 236812, 568, 23243, 14322, 236768, 107, 138, 236772, 165356, 236743, 236800, 236812, 236761, 236771, 236810, 236778, 236778, 965, 8099, 4637, 753, 236770, 236770, 236828, 236761, 236778, 236812, 236800, 236832, 568, 18939, 13245, 236768, 107, 236772, 5213, 10282, 53121, 50154, 39173, 26062, 3196, 531, 577, 74252, 1208, 2870, 623, 4554, 236775, 1722, 840, 6220, 3530, 1159, 236772, 59137, 528, 506, 5904, 3072, 108, 1018, 89740, 137727, 229414, 53121, 107, 236770, 236761, 50154, 11182, 10050, 236789, 236745, 10916, 8385, 528, 506, 1262, 3904, 107, 236778, 236761, 73888, 4563, 1262, 5889, 236789, 236745, 2487, 1343, 506, 7500, 9299, 107, 236800, 236761, 2301, 7500, 236772, 15396, 4065, 568, 236744, 236761, 236759, 1126, 10321, 11414, 236764, 16217, 3958, 236768, 3196, 528, 506, 3072, 108, 1018, 201430, 573, 12067, 50228, 53121, 107, 236770, 236761, 18975, 564, 2864, 12496, 531, 506, 5904, 18544, 531, 3204, 236787, 107, 139, 236772, 50154, 7500, 1159, 236772, 9846, 528, 506, 7500, 236779, 2084, 32377, 236881, 107, 139, 236772, 37868, 236772, 5140, 35129, 568, 236744, 236761, 236759, 1126, 623, 90987, 236779, 19072, 827, 623, 80465, 236779, 80811, 1373, 236881, 107, 139, 236772, 73888, 15375, 528, 7500, 8735, 236881, 108, 236778, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 139, 236772, 12713, 236772, 30449, 672, 1262, 607, 8398, 12960, 86236, 236881, 107, 139, 236772, 121353, 3435, 28893, 1699, 1237, 28048, 12606, 13571, 236881, 107, 139, 236772, 6521, 496, 15523, 573, 16595, 7500, 16074, 15858, 236881, 108, 818, 1873, 1262, 12205, 4745, 5296, 1534, 116629, 532, 4077, 9371, 568, 236812, 236778, 1546, 528, 506, 5498, 779, 840, 692, 6220, 506, 178371, 4354, 573, 18997, 28597, 236772, 18865, 7500, 3671, 236761, 2088, 1093, 611, 1133, 531, 7162, 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, 1131, 28971, 5434, 531, 62991, 18241, 16074, 573, 981, 236761, 28344, 611, 8729, 496, 9584, 236743, 236770, 236778, 236772, 3017, 10941, 20412, 573, 496, 36963, 27173, 564, 236789, 859, 1161, 531, 1594, 6538, 16374, 607, 496, 28316, 236881, 3551, 31882, 3997, 1458, 3548, 531, 7937, 607, 25338, 13192, 573, 26267, 7408, 10400, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 197035, 1083, 623, 109478, 5596, 2735, 1003, 2787, 24209, 22792, 7628, 44892, 16407, 2802, 10054, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 7835, 236743, 236770, 236778, 236772, 3017, 207819, 236772, 236800, 236819, 118739, 20412, 573, 7257, 6538, 16374, 236787, 108, 236929, 109478, 5596, 2735, 1003, 2787, 24209, 22792, 7628, 44892, 16407, 2802, 10054, 236929, 108, 248535, 12096, 91330, 236787, 107, 236772, 13516, 672, 20412, 528, 496, 14628, 27173, 653, 48970, 6310, 107, 236772, 15428, 4024, 625, 25940, 653, 607, 506, 28316, 107, 236772, 8600, 496, 5663, 21609, 528, 496, 9584, 4563, 107, 236772, 14066, 1699, 496, 236743, 236778, 236812, 236772, 3017, 20412, 573, 3719, 18567, 108, 2094, 27173, 795, 2174, 611, 531, 1594, 28971, 236772, 5140, 7408, 1900, 28431, 1651, 16977, 172016, 5052, 236761, 21284, 611, 1133, 786, 531, 8082, 1217, 531, 25139, 672, 607, 822, 31882, 3997, 1458, 236789, 236751, 9299, 236881, 106, 107, 105, 2364, 107, 236775, 11947, 2246, 580, 506, 236743, 236778, 236812, 236772, 3017, 25394, 236761, 1191, 236789, 560, 2506, 1070, 3184, 31882, 176219, 564, 236789, 236757, 67981, 1015, 236789, 859, 1202, 5441, 236772, 26252, 3797, 1056, 901, 1769, 1024, 236761, 28344, 611, 8729, 506, 236743, 236778, 236812, 236772, 3017, 20412, 1492, 236881, 3792, 236789, 236751, 1386, 2889, 9002, 28971, 3465, 692, 2016, 103827, 1041, 20130, 4598, 9332, 568, 28906, 9908, 4487, 236743, 236770, 236778, 236772, 3017, 8299, 532, 5052, 10928, 1651, 70959, 531, 6334, 5671, 529, 67981, 2148, 8299, 236768, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 197035, 1083, 623, 109478, 5596, 2735, 1003, 2787, 24209, 22792, 7628, 44892, 16407, 2802, 10054, 2881, 107152, 6350, 4920, 34407, 22317, 3418, 1134, 2970, 13387, 1134, 5942, 1138, 3421, 6253, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 236743, 236778, 236812, 236772, 3017, 207819, 236772, 236800, 236819, 118739, 20412, 573, 1440, 236772, 6061, 5052, 236787, 108, 236929, 109478, 5596, 2735, 1003, 2787, 24209, 22792, 7628, 44892, 16407, 2802, 10054, 2881, 107152, 6350, 4920, 34407, 22317, 3418, 1134, 2970, 13387, 1134, 5942, 1138, 3421, 6253, 236929, 108, 252067, 31503, 12096, 33879, 573, 12067, 236772, 14696, 46001, 236787, 107, 236770, 236761, 41276, 5074, 236772, 29694, 27173, 29262, 573, 31882, 14896, 2802, 107, 236778, 236761, 6890, 68152, 583, 236789, 236751, 8136, 72366, 531, 9918, 506, 118739, 3418, 26576, 2434, 3295, 107, 236800, 236761, 13516, 5663, 93744, 528, 4304, 11958, 236786, 7632, 11958, 24032, 657, 1607, 11024, 107, 236812, 236761, 5833, 872, 26267, 13035, 10034, 573, 2307, 14491, 11233, 699, 672, 10338, 108, 2094, 9239, 20412, 4728, 236743, 236778, 236810, 236825, 236772, 3896, 5052, 6332, 236764, 17096, 822, 28971, 12308, 7474, 16317, 618, 822, 2434, 25477, 531, 506, 2148, 8299, 236761, 669, 31882, 176219, 795, 14756, 506, 4448, 236772, 64980, 5052, 8073, 1056, 901, 1769, 506, 72935, 236888, 21284, 611, 1133, 14984, 580, 6514, 872, 27173, 38201, 16412, 573, 1607, 18241, 12669, 236881, 106, 107, 105, 2364, 107, 236775, 6481, 236789, 236751, 4187, 672, 855, 1133, 692, 236789, 500, 35447, 1023, 31882, 167576, 236761, 28344, 611, 1407, 786, 496, 5498, 207819, 236772, 236812, 236812, 3904, 1699, 672, 236743, 236778, 236812, 236772, 3017, 10338, 600, 62079, 18241, 12669, 753, 7463, 756, 24713, 2999, 963, 756, 11374, 963, 756, 58582, 963, 532, 756, 42652, 103709, 669, 6214, 1239, 2668, 2765, 7426, 8698, 753, 1751, 692, 1451, 2258, 236772, 3970, 506, 16412, 573, 910, 4122, 5417, 7462, 568, 28906, 9908, 4487, 236743, 236778, 236812, 236772, 3017, 8299, 532, 70959, 531, 97779, 5671, 1651, 46133, 8330, 8688, 4889, 236768, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2619, 496, 31882, 236772, 2224, 519, 46836, 573, 207819, 236772, 236812, 236812, 3904, 1699, 822, 236743, 236778, 236812, 236772, 3017, 10338, 236761, 5715, 236789, 236751, 1217, 692, 236789, 236753, 4187, 28971, 27173, 16412, 531, 18241, 12669, 236787, 108, 1018, 246727, 207819, 236772, 236812, 236812, 92723, 11251, 568, 3484, 236772, 236780, 10243, 573, 17263, 62902, 107, 2717, 107, 236757, 236786, 236812, 236812, 60002, 236825, 236771, 60002, 236771, 60002, 236771, 236786, 236771, 141, 246404, 870, 24713, 2999, 236842, 753, 111492, 8341, 28250, 107, 236757, 236786, 236812, 236812, 60002, 236825, 236771, 60002, 236770, 60002, 236771, 236786, 236771, 141, 249642, 870, 11374, 236842, 753, 52761, 4563, 16074, 107, 236757, 236786, 236812, 236812, 60002, 236825, 236771, 60002, 236778, 60002, 236771, 236786, 236771, 141, 249654, 870, 58582, 236842, 753, 17438, 1900, 56470, 107, 236757, 236786, 236812, 236812, 60002, 236825, 236771, 60002, 236800, 60002, 236771, 236786, 236771, 141, 245180, 870, 42652, 236842, 753, 72536, 33972, 8487, 107, 2717, 108, 1018, 247221, 24246, 13739, 166977, 53121, 107, 236770, 236761, 5213, 13632, 568, 236757, 1473, 1018, 5180, 31882, 13317, 26625, 568, 13114, 10338, 236768, 107, 236778, 236761, 5213, 236812, 236812, 236789, 568, 236776, 79097, 236743, 236812, 236812, 1473, 1018, 207819, 236772, 236812, 236812, 4077, 123010, 1458, 107, 236800, 236761, 5213, 236825, 236771, 236789, 568, 182560, 236743, 236825, 236771, 1473, 1018, 49180, 28971, 3336, 568, 30780, 236772, 236778, 236771, 21739, 236768, 107, 236812, 236761, 5213, 13169, 236789, 568, 27118, 51067, 1473, 1018, 236743, 107, 139, 236772, 236743, 236771, 236789, 578, 171056, 568, 9503, 236768, 107, 139, 236772, 236743, 236770, 236789, 578, 25795, 568, 10671, 236768, 236743, 107, 139, 236772, 236743, 236778, 236789, 578, 36585, 568, 23861, 236768, 107, 139, 236772, 236743, 236800, 236789, 578, 15543, 568, 1192, 236768, 107, 236810, 236761, 5213, 9233, 568, 22373, 1473, 1018, 236743, 107, 139, 236772, 236743, 236771, 578, 42353, 19246, 568, 25016, 236786, 23717, 13668, 236768, 107, 139, 236772, 236743, 236770, 578, 26946, 2352, 19246, 568, 140921, 6145, 1161, 236768, 107, 236825, 236761, 5213, 9604, 13291, 568, 182560, 114850, 1473, 1018, 75328, 6310, 11024, 108, 1018, 246165, 44234, 13628, 42272, 53121, 138, 107, 189813, 822, 2434, 531, 1751, 529, 672, 1133, 31882, 20874, 236787, 107, 236772, 623, 4420, 496, 9685, 36522, 657, 171056, 568, 246404, 779, 8729, 19246, 1208, 520, 236786, 236812, 236812, 60002, 236825, 236771, 60002, 236771, 236789, 623, 107, 236772, 623, 58582, 12972, 974, 19246, 699, 520, 236786, 236812, 236812, 60002, 236825, 236771, 60002, 236778, 236789, 236743, 249654, 74578, 236775, 107, 236772, 6890, 1607, 16128, 12972, 573, 1546, 2881, 2479, 528, 5663, 99688, 108, 1018, 247182, 238178, 12096, 36767, 53121, 138, 107, 236772, 191719, 1117, 528, 15543, 3336, 568, 245180, 236768, 4038, 236789, 236745, 4208, 25795, 568, 249642, 236768, 107, 236772, 7714, 2434, 1186, 3548, 2802, 531, 910, 3530, 2479, 107, 236772, 55781, 22249, 4196, 13957, 684, 17934, 8038, 108, 46038, 786, 531, 1407, 1217, 531, 27119, 3530, 19246, 573, 496, 623, 162526, 4244, 3970, 25698, 236775, 7408, 528, 506, 171056, 74578, 236881, 1174, 1451, 3291, 496, 10231, 4122, 2591, 573, 822, 2434, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 1131, 28971, 5434, 531, 62991, 18241, 16074, 573, 981, 236761, 28344, 611, 8729, 496, 9584, 236743, 236770, 236778, 236772, 3017, 10941, 20412, 573, 496, 36963, 27173, 564, 236789, 859, 1161, 531, 1594, 6538, 16374, 607, 496, 28316, 236881, 3551, 31882, 3997, 1458, 3548, 531, 7937, 607, 25338, 13192, 573, 26267, 7408, 10400, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 197035, 1083, 623, 109478, 5596, 2735, 1003, 2787, 24209, 22792, 7628, 44892, 16407, 2802, 10054, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 7835, 236743, 236770, 236778, 236772, 3017, 207819, 236772, 236800, 236819, 118739, 20412, 573, 7257, 6538, 16374, 236787, 108, 236929, 109478, 5596, 2735, 1003, 2787, 24209, 22792, 7628, 44892, 16407, 2802, 10054, 236929, 108, 248535, 12096, 91330, 236787, 107, 236772, 13516, 672, 20412, 528, 496, 14628, 27173, 653, 48970, 6310, 107, 236772, 15428, 4024, 625, 25940, 653, 607, 506, 28316, 107, 236772, 8600, 496, 5663, 21609, 528, 496, 9584, 4563, 107, 236772, 14066, 1699, 496, 236743, 236778, 236812, 236772, 3017, 20412, 573, 3719, 18567, 108, 2094, 27173, 795, 2174, 611, 531, 1594, 28971, 236772, 5140, 7408, 1900, 28431, 1651, 16977, 172016, 5052, 236761, 21284, 611, 1133, 786, 531, 8082, 1217, 531, 25139, 672, 607, 822, 31882, 3997, 1458, 236789, 236751, 9299, 236881, 106, 107, 105, 2364, 107, 236775, 11947, 2246, 580, 506, 236743, 236778, 236812, 236772, 3017, 25394, 236761, 1191, 236789, 560, 2506, 1070, 3184, 31882, 176219, 564, 236789, 236757, 67981, 1015, 236789, 859, 1202, 5441, 236772, 26252, 3797, 1056, 901, 1769, 1024, 236761, 28344, 611, 8729, 506, 236743, 236778, 236812, 236772, 3017, 20412, 1492, 236881, 3792, 236789, 236751, 1386, 2889, 9002, 28971, 3465, 692, 2016, 103827, 1041, 20130, 4598, 9332, 568, 28906, 9908, 4487, 236743, 236770, 236778, 236772, 3017, 8299, 532, 5052, 10928, 1651, 70959, 531, 6334, 5671, 529, 67981, 2148, 8299, 236768, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 197035, 1083, 623, 109478, 5596, 2735, 1003, 2787, 24209, 22792, 7628, 44892, 16407, 2802, 10054, 2881, 107152, 6350, 4920, 34407, 22317, 3418, 1134, 2970, 13387, 1134, 5942, 1138, 3421, 6253, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 236743, 236778, 236812, 236772, 3017, 207819, 236772, 236800, 236819, 118739, 20412, 573, 1440, 236772, 6061, 5052, 236787, 108, 236929, 109478, 5596, 2735, 1003, 2787, 24209, 22792, 7628, 44892, 16407, 2802, 10054, 2881, 107152, 6350, 4920, 34407, 22317, 3418, 1134, 2970, 13387, 1134, 5942, 1138, 3421, 6253, 236929, 108, 252067, 31503, 12096, 33879, 573, 12067, 236772, 14696, 46001, 236787, 107, 236770, 236761, 41276, 5074, 236772, 29694, 27173, 29262, 573, 31882, 14896, 2802, 107, 236778, 236761, 6890, 68152, 583, 236789, 236751, 8136, 72366, 531, 9918, 506, 118739, 3418, 26576, 2434, 3295, 107, 236800, 236761, 13516, 5663, 93744, 528, 4304, 11958, 236786, 7632, 11958, 24032, 657, 1607, 11024, 107, 236812, 236761, 5833, 872, 26267, 13035, 10034, 573, 2307, 14491, 11233, 699, 672, 10338, 108, 2094, 9239, 20412, 4728, 236743, 236778, 236810, 236825, 236772, 3896, 5052, 6332, 236764, 17096, 822, 28971, 12308, 7474, 16317, 618, 822, 2434, 25477, 531, 506, 2148, 8299, 236761, 669, 31882, 176219, 795, 14756, 506, 4448, 236772, 64980, 5052, 8073, 1056, 901, 1769, 506, 72935, 236888, 21284, 611, 1133, 14984, 580, 6514, 872, 27173, 38201, 16412, 573, 1607, 18241, 12669, 236881, 106, 107, 105, 2364, 107, 236775, 6481, 236789, 236751, 4187, 672, 855, 1133, 692, 236789, 500, 35447, 1023, 31882, 167576, 236761, 28344, 611, 1407, 786, 496, 5498, 207819, 236772, 236812, 236812, 3904, 1699, 672, 236743, 236778, 236812, 236772, 3017, 10338, 600, 62079, 18241, 12669, 753, 7463, 756, 24713, 2999, 963, 756, 11374, 963, 756, 58582, 963, 532, 756, 42652, 103709, 669, 6214, 1239, 2668, 2765, 7426, 8698, 753, 1751, 692, 1451, 2258, 236772, 3970, 506, 16412, 573, 910, 4122, 5417, 7462, 568, 28906, 9908, 4487, 236743, 236778, 236812, 236772, 3017, 8299, 532, 70959, 531, 97779, 5671, 1651, 46133, 8330, 8688, 4889, 236768, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2619, 496, 31882, 236772, 2224, 519, 46836, 573, 207819, 236772, 236812, 236812, 3904, 1699, 822, 236743, 236778, 236812, 236772, 3017, 10338, 236761, 5715, 236789, 236751, 1217, 692, 236789, 236753, 4187, 28971, 27173, 16412, 531, 18241, 12669, 236787, 108, 1018, 246727, 207819, 236772, 236812, 236812, 92723, 11251, 568, 3484, 236772, 236780, 10243, 573, 17263, 62902, 107, 2717, 107, 236757, 236786, 236812, 236812, 60002, 236825, 236771, 60002, 236771, 60002, 236771, 236786, 236771, 141, 246404, 870, 24713, 2999, 236842, 753, 111492, 8341, 28250, 107, 236757, 236786, 236812, 236812, 60002, 236825, 236771, 60002, 236770, 60002, 236771, 236786, 236771, 141, 249642, 870, 11374, 236842, 753, 52761, 4563, 16074, 107, 236757, 236786, 236812, 236812, 60002, 236825, 236771, 60002, 236778, 60002, 236771, 236786, 236771, 141, 249654, 870, 58582, 236842, 753, 17438, 1900, 56470, 107, 236757, 236786, 236812, 236812, 60002, 236825, 236771, 60002, 236800, 60002, 236771, 236786, 236771, 141, 245180, 870, 42652, 236842, 753, 72536, 33972, 8487, 107, 2717, 108, 1018, 247221, 24246, 13739, 166977, 53121, 107, 236770, 236761, 5213, 13632, 568, 236757, 1473, 1018, 5180, 31882, 13317, 26625, 568, 13114, 10338, 236768, 107, 236778, 236761, 5213, 236812, 236812, 236789, 568, 236776, 79097, 236743, 236812, 236812, 1473, 1018, 207819, 236772, 236812, 236812, 4077, 123010, 1458, 107, 236800, 236761, 5213, 236825, 236771, 236789, 568, 182560, 236743, 236825, 236771, 1473, 1018, 49180, 28971, 3336, 568, 30780, 236772, 236778, 236771, 21739, 236768, 107, 236812, 236761, 5213, 13169, 236789, 568, 27118, 51067, 1473, 1018, 236743, 107, 139, 236772, 236743, 236771, 236789, 578, 171056, 568, 9503, 236768, 107, 139, 236772, 236743, 236770, 236789, 578, 25795, 568, 10671, 236768, 236743, 107, 139, 236772, 236743, 236778, 236789, 578, 36585, 568, 23861, 236768, 107, 139, 236772, 236743, 236800, 236789, 578, 15543, 568, 1192, 236768, 107, 236810, 236761, 5213, 9233, 568, 22373, 1473, 1018, 236743, 107, 139, 236772, 236743, 236771, 578, 42353, 19246, 568, 25016, 236786, 23717, 13668, 236768, 107, 139, 236772, 236743, 236770, 578, 26946, 2352, 19246, 568, 140921, 6145, 1161, 236768, 107, 236825, 236761, 5213, 9604, 13291, 568, 182560, 114850, 1473, 1018, 75328, 6310, 11024, 108, 1018, 246165, 44234, 13628, 42272, 53121, 138, 107, 189813, 822, 2434, 531, 1751, 529, 672, 1133, 31882, 20874, 236787, 107, 236772, 623, 4420, 496, 9685, 36522, 657, 171056, 568, 246404, 779, 8729, 19246, 1208, 520, 236786, 236812, 236812, 60002, 236825, 236771, 60002, 236771, 236789, 623, 107, 236772, 623, 58582, 12972, 974, 19246, 699, 520, 236786, 236812, 236812, 60002, 236825, 236771, 60002, 236778, 236789, 236743, 249654, 74578, 236775, 107, 236772, 6890, 1607, 16128, 12972, 573, 1546, 2881, 2479, 528, 5663, 99688, 108, 1018, 247182, 238178, 12096, 36767, 53121, 138, 107, 236772, 191719, 1117, 528, 15543, 3336, 568, 245180, 236768, 4038, 236789, 236745, 4208, 25795, 568, 249642, 236768, 107, 236772, 7714, 2434, 1186, 3548, 2802, 531, 910, 3530, 2479, 107, 236772, 55781, 22249, 4196, 13957, 684, 17934, 8038, 108, 46038, 786, 531, 1407, 1217, 531, 27119, 3530, 19246, 573, 496, 623, 162526, 4244, 3970, 25698, 236775, 7408, 528, 506, 171056, 74578, 236881, 1174, 1451, 3291, 496, 10231, 4122, 2591, 573, 822, 2434, 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, 1041, 7946, 531, 160724, 532, 1461, 531, 2426, 1041, 15749, 5609, 236761, 28344, 611, 33205, 1041, 15749, 4889, 1699, 2430, 5853, 37564, 236776, 236779, 236832, 236828, 236819, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 13330, 1083, 3714, 1201, 1083, 623, 60526, 42254, 827, 623, 6774, 1083, 623, 205543, 236940, 8358, 236761, 854, 827, 623, 69607, 1083, 623, 2073, 8266, 236779, 236832, 236828, 236819, 827, 623, 11622, 236779, 4818, 1083, 623, 5034, 23179, 623, 175113, 236779, 6011, 1083, 3714, 6725, 236779, 21452, 1083, 236743, 236800, 236778, 236771, 236771, 236761, 236832, 236810, 236764, 623, 5654, 236779, 13304, 1083, 236743, 236810, 236771, 236771, 236771, 236761, 236771, 236764, 623, 16717, 236779, 45118, 1083, 236743, 236825, 236812, 236764, 623, 175113, 236779, 153930, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236778, 236772, 236770, 236810, 23179, 623, 31408, 236779, 1587, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236770, 827, 623, 2084, 1083, 623, 69719, 827, 623, 13304, 1083, 236743, 236810, 236771, 236771, 236761, 236771, 236764, 623, 6265, 1083, 623, 71832, 15749, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 2084, 1083, 623, 21878, 827, 623, 13304, 1083, 236743, 236770, 236778, 236761, 236810, 236764, 623, 7777, 1083, 623, 33255, 586, 2142, 56763, 514, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 2084, 1083, 623, 69719, 827, 623, 13304, 1083, 236743, 236825, 236771, 236771, 236761, 236771, 236764, 623, 6265, 1083, 623, 21519, 19527, 25519, 25938, 1604, 623, 175113, 236779, 23426, 1083, 3714, 4002, 236779, 15081, 1083, 623, 236806, 143204, 17172, 9642, 827, 623, 1848, 35354, 1083, 3714, 71832, 236779, 29538, 1083, 236743, 236825, 236771, 236771, 236761, 236771, 236764, 623, 5455, 236779, 209685, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236770, 23179, 623, 4818, 1083, 623, 498, 236779, 11861, 827, 623, 85038, 567, 1083, 623, 166062, 1873, 13728, 531, 2874, 4301, 28958, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 15749, 5609, 573, 506, 160724, 17172, 9642, 236764, 17015, 236787, 108, 1018, 8782, 62480, 18365, 1018, 138, 107, 244314, 12613, 111408, 236787, 609, 236800, 236764, 236778, 236771, 236771, 236761, 236832, 236810, 138, 107, 247211, 23170, 27409, 236787, 609, 236810, 236764, 236771, 236771, 236771, 236761, 236771, 236771, 138, 107, 245353, 22583, 236787, 236743, 236825, 236812, 236908, 138, 107, 249460, 96798, 236787, 6384, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 1018, 47619, 23195, 1018, 138, 107, 236772, 5261, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236787, 609, 236810, 236771, 236771, 236761, 236771, 236771, 14664, 568, 71832, 15749, 236768, 138, 107, 236772, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236787, 609, 236770, 236778, 236761, 236810, 236771, 2142, 568, 33255, 586, 56763, 514, 236768, 138, 107, 236772, 5365, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236787, 609, 236825, 236771, 236771, 236761, 236771, 236771, 14664, 568, 21519, 19527, 25519, 236768, 138, 108, 1018, 194122, 9620, 1018, 138, 107, 240732, 50292, 75798, 236787, 609, 236825, 236771, 236771, 236761, 236771, 236771, 138, 107, 240732, 18365, 236787, 8203, 118577, 138, 107, 245305, 111506, 236787, 42940, 1873, 13728, 531, 2874, 822, 28958, 236761, 138, 108, 11069, 2881, 563, 5158, 532, 79450, 1388, 236888, 21284, 611, 1133, 531, 11327, 30981, 531, 822, 15749, 2731, 653, 1202, 1601, 607, 4658, 1663, 236881, 103453, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 4610, 236888, 564, 236858, 236753, 1133, 531, 11327, 1217, 1041, 15749, 10769, 531, 506, 4185, 236743, 236770, 236758, 8319, 19455, 236761, 28344, 611, 33205, 506, 77002, 16074, 1262, 531, 1460, 506, 4398, 15749, 3136, 532, 32571, 5609, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 103088, 1083, 236743, 236778, 236810, 236812, 236800, 236771, 236771, 236771, 236764, 623, 28128, 236779, 65775, 236779, 175113, 236779, 4720, 1083, 236743, 236770, 236812, 236761, 236832, 236810, 236764, 623, 28128, 236779, 16717, 236779, 45118, 1083, 236743, 236825, 236828, 236761, 236778, 236764, 623, 175113, 236779, 58043, 1083, 3714, 5455, 236779, 11283, 236779, 70537, 1083, 236743, 236800, 236761, 236812, 236764, 623, 3704, 236779, 1749, 236779, 3704, 236779, 45882, 1083, 236743, 236770, 236832, 236761, 236828, 1263, 623, 29538, 236779, 95605, 236779, 23251, 1083, 3714, 498, 236779, 11861, 236779, 12641, 1083, 236743, 236825, 236778, 236764, 623, 91180, 236779, 105674, 1083, 236743, 236778, 236828, 236764, 623, 40812, 236779, 53265, 1083, 236743, 236770, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1217, 822, 15749, 10769, 531, 506, 4185, 236743, 236770, 236758, 8319, 19455, 236787, 108, 249772, 5213, 18085, 32115, 41959, 1018, 138, 107, 247750, 5213, 9640, 60624, 66515, 236743, 236778, 236764, 236810, 236812, 236800, 236764, 236771, 236771, 236771, 138, 107, 244314, 5213, 35089, 40502, 62480, 25870, 66515, 609, 236770, 236812, 236761, 236832, 236810, 236786, 8269, 138, 107, 245353, 5213, 35089, 22583, 66515, 236743, 236825, 236828, 236761, 236778, 236908, 568, 21314, 236761, 822, 1873, 236743, 236825, 236812, 11376, 138, 107, 242015, 5213, 83380, 48993, 66515, 138, 107, 236772, 236743, 236800, 236761, 236812, 236908, 3553, 528, 15749, 1774, 2297, 138, 107, 236772, 236743, 236770, 236832, 236761, 236828, 236908, 1051, 236772, 1749, 236772, 3704, 3877, 528, 15430, 138, 108, 1018, 35559, 94986, 18365, 66515, 138, 107, 240732, 236743, 236825, 236778, 236908, 529, 5089, 580, 4087, 568, 5282, 611, 15520, 138, 107, 195096, 236743, 236778, 236828, 236908, 1202, 11531, 138, 107, 242061, 236743, 236770, 236771, 236908, 735, 7723, 910, 7675, 138, 108, 11069, 13822, 13728, 6131, 236825, 236771, 236771, 236768, 8792, 9644, 506, 4185, 4398, 15749, 3136, 753, 1822, 3195, 236888, 5978, 822, 5609, 10256, 563, 8427, 3426, 506, 4185, 4398, 236764, 822, 1494, 12416, 2886, 10681, 611, 1388, 531, 36384, 8797, 822, 160724, 5671, 236761, 21284, 611, 1133, 1601, 39919, 822, 15749, 7545, 531, 30726, 5609, 236881, 103453, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 3671, 236761, 28344, 611, 2426, 1041, 2430, 4889, 1570, 531, 5330, 1041, 4301, 3055, 563, 15195, 74252, 1208, 756, 236806, 143204, 236743, 236778, 236771, 236778, 236810, 236789, 528, 506, 15749, 14626, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 13330, 1083, 3714, 69607, 1083, 623, 2073, 8266, 236779, 236832, 236828, 236819, 827, 623, 1201, 1083, 623, 53865, 14654, 57122, 827, 623, 11622, 236779, 2084, 1083, 623, 107332, 827, 623, 27617, 1083, 623, 38556, 23179, 623, 175113, 236779, 23426, 1083, 3714, 27975, 1083, 78493, 1201, 1083, 623, 236806, 143204, 236743, 236778, 236771, 236778, 236810, 827, 623, 5654, 236779, 13304, 1083, 236743, 236812, 236810, 236771, 236771, 236761, 236771, 236764, 623, 4002, 236779, 17873, 1083, 236743, 236800, 236778, 236832, 236810, 236761, 236810, 236764, 623, 5654, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236800, 236771, 827, 623, 72031, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 13304, 1083, 236743, 236810, 236771, 236771, 236761, 236771, 236764, 623, 2084, 1083, 623, 69719, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 13304, 1083, 236743, 236778, 236771, 236771, 236761, 236771, 236764, 623, 2084, 1083, 623, 69719, 236775, 15947, 200808, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 11069, 15749, 14626, 44898, 506, 623, 236806, 143204, 236743, 236778, 236771, 236778, 236810, 236775, 8038, 563, 15195, 1076, 872, 236888, 5715, 659, 506, 4889, 236787, 138, 108, 1018, 236806, 143204, 236743, 236778, 236771, 236778, 236810, 9642, 1018, 138, 107, 247211, 23170, 27409, 236787, 609, 236812, 236764, 236810, 236771, 236771, 236761, 236771, 236771, 138, 107, 244314, 14040, 31814, 236787, 609, 236800, 236764, 236778, 236832, 236810, 236761, 236810, 236771, 138, 107, 249460, 23170, 6809, 236787, 5142, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 249772, 22583, 236787, 2578, 236832, 236778, 236761, 236828, 236908, 568, 5140, 580, 1873, 7002, 236768, 138, 108, 1018, 17704, 10358, 573, 1174, 23223, 1018, 138, 107, 236772, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236787, 609, 236810, 236771, 236771, 236761, 236771, 236771, 14664, 138, 107, 236772, 5365, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 236787, 609, 236778, 236771, 236771, 236761, 236771, 236771, 14664, 138, 108, 818, 8038, 1463, 12853, 822, 2864, 236764, 532, 8775, 659, 22074, 50054, 236761, 3153, 236764, 564, 14275, 506, 3328, 3433, 568, 27403, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 35428, 8427, 699, 506, 6517, 6384, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 28958, 6950, 528, 822, 8781, 236761, 21284, 611, 1133, 531, 6253, 506, 3328, 3433, 531, 8913, 607, 822, 4301, 6614, 236764, 653, 563, 672, 46041, 236881, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 1041, 7946, 531, 160724, 532, 1461, 531, 2426, 1041, 15749, 5609, 236761, 28344, 611, 33205, 1041, 15749, 4889, 1699, 2430, 5853, 37564, 236776, 236779, 236832, 236828, 236819, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 13330, 1083, 3714, 1201, 1083, 623, 60526, 42254, 827, 623, 6774, 1083, 623, 205543, 236940, 8358, 236761, 854, 827, 623, 69607, 1083, 623, 2073, 8266, 236779, 236832, 236828, 236819, 827, 623, 11622, 236779, 4818, 1083, 623, 5034, 23179, 623, 175113, 236779, 6011, 1083, 3714, 6725, 236779, 21452, 1083, 236743, 236800, 236778, 236771, 236771, 236761, 236832, 236810, 236764, 623, 5654, 236779, 13304, 1083, 236743, 236810, 236771, 236771, 236771, 236761, 236771, 236764, 623, 16717, 236779, 45118, 1083, 236743, 236825, 236812, 236764, 623, 175113, 236779, 153930, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236778, 236772, 236770, 236810, 23179, 623, 31408, 236779, 1587, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236771, 236770, 827, 623, 2084, 1083, 623, 69719, 827, 623, 13304, 1083, 236743, 236810, 236771, 236771, 236761, 236771, 236764, 623, 6265, 1083, 623, 71832, 15749, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 2084, 1083, 623, 21878, 827, 623, 13304, 1083, 236743, 236770, 236778, 236761, 236810, 236764, 623, 7777, 1083, 623, 33255, 586, 2142, 56763, 514, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 2084, 1083, 623, 69719, 827, 623, 13304, 1083, 236743, 236825, 236771, 236771, 236761, 236771, 236764, 623, 6265, 1083, 623, 21519, 19527, 25519, 25938, 1604, 623, 175113, 236779, 23426, 1083, 3714, 4002, 236779, 15081, 1083, 623, 236806, 143204, 17172, 9642, 827, 623, 1848, 35354, 1083, 3714, 71832, 236779, 29538, 1083, 236743, 236825, 236771, 236771, 236761, 236771, 236764, 623, 5455, 236779, 209685, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236770, 23179, 623, 4818, 1083, 623, 498, 236779, 11861, 827, 623, 85038, 567, 1083, 623, 166062, 1873, 13728, 531, 2874, 4301, 28958, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 15749, 5609, 573, 506, 160724, 17172, 9642, 236764, 17015, 236787, 108, 1018, 8782, 62480, 18365, 1018, 138, 107, 244314, 12613, 111408, 236787, 609, 236800, 236764, 236778, 236771, 236771, 236761, 236832, 236810, 138, 107, 247211, 23170, 27409, 236787, 609, 236810, 236764, 236771, 236771, 236771, 236761, 236771, 236771, 138, 107, 245353, 22583, 236787, 236743, 236825, 236812, 236908, 138, 107, 249460, 96798, 236787, 6384, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 1018, 47619, 23195, 1018, 138, 107, 236772, 5261, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236787, 609, 236810, 236771, 236771, 236761, 236771, 236771, 14664, 568, 71832, 15749, 236768, 138, 107, 236772, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236787, 609, 236770, 236778, 236761, 236810, 236771, 2142, 568, 33255, 586, 56763, 514, 236768, 138, 107, 236772, 5365, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 236787, 609, 236825, 236771, 236771, 236761, 236771, 236771, 14664, 568, 21519, 19527, 25519, 236768, 138, 108, 1018, 194122, 9620, 1018, 138, 107, 240732, 50292, 75798, 236787, 609, 236825, 236771, 236771, 236761, 236771, 236771, 138, 107, 240732, 18365, 236787, 8203, 118577, 138, 107, 245305, 111506, 236787, 42940, 1873, 13728, 531, 2874, 822, 28958, 236761, 138, 108, 11069, 2881, 563, 5158, 532, 79450, 1388, 236888, 21284, 611, 1133, 531, 11327, 30981, 531, 822, 15749, 2731, 653, 1202, 1601, 607, 4658, 1663, 236881, 103453, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 4610, 236888, 564, 236858, 236753, 1133, 531, 11327, 1217, 1041, 15749, 10769, 531, 506, 4185, 236743, 236770, 236758, 8319, 19455, 236761, 28344, 611, 33205, 506, 77002, 16074, 1262, 531, 1460, 506, 4398, 15749, 3136, 532, 32571, 5609, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6725, 236779, 103088, 1083, 236743, 236778, 236810, 236812, 236800, 236771, 236771, 236771, 236764, 623, 28128, 236779, 65775, 236779, 175113, 236779, 4720, 1083, 236743, 236770, 236812, 236761, 236832, 236810, 236764, 623, 28128, 236779, 16717, 236779, 45118, 1083, 236743, 236825, 236828, 236761, 236778, 236764, 623, 175113, 236779, 58043, 1083, 3714, 5455, 236779, 11283, 236779, 70537, 1083, 236743, 236800, 236761, 236812, 236764, 623, 3704, 236779, 1749, 236779, 3704, 236779, 45882, 1083, 236743, 236770, 236832, 236761, 236828, 1263, 623, 29538, 236779, 95605, 236779, 23251, 1083, 3714, 498, 236779, 11861, 236779, 12641, 1083, 236743, 236825, 236778, 236764, 623, 91180, 236779, 105674, 1083, 236743, 236778, 236828, 236764, 623, 40812, 236779, 53265, 1083, 236743, 236770, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 1217, 822, 15749, 10769, 531, 506, 4185, 236743, 236770, 236758, 8319, 19455, 236787, 108, 249772, 5213, 18085, 32115, 41959, 1018, 138, 107, 247750, 5213, 9640, 60624, 66515, 236743, 236778, 236764, 236810, 236812, 236800, 236764, 236771, 236771, 236771, 138, 107, 244314, 5213, 35089, 40502, 62480, 25870, 66515, 609, 236770, 236812, 236761, 236832, 236810, 236786, 8269, 138, 107, 245353, 5213, 35089, 22583, 66515, 236743, 236825, 236828, 236761, 236778, 236908, 568, 21314, 236761, 822, 1873, 236743, 236825, 236812, 11376, 138, 107, 242015, 5213, 83380, 48993, 66515, 138, 107, 236772, 236743, 236800, 236761, 236812, 236908, 3553, 528, 15749, 1774, 2297, 138, 107, 236772, 236743, 236770, 236832, 236761, 236828, 236908, 1051, 236772, 1749, 236772, 3704, 3877, 528, 15430, 138, 108, 1018, 35559, 94986, 18365, 66515, 138, 107, 240732, 236743, 236825, 236778, 236908, 529, 5089, 580, 4087, 568, 5282, 611, 15520, 138, 107, 195096, 236743, 236778, 236828, 236908, 1202, 11531, 138, 107, 242061, 236743, 236770, 236771, 236908, 735, 7723, 910, 7675, 138, 108, 11069, 13822, 13728, 6131, 236825, 236771, 236771, 236768, 8792, 9644, 506, 4185, 4398, 15749, 3136, 753, 1822, 3195, 236888, 5978, 822, 5609, 10256, 563, 8427, 3426, 506, 4185, 4398, 236764, 822, 1494, 12416, 2886, 10681, 611, 1388, 531, 36384, 8797, 822, 160724, 5671, 236761, 21284, 611, 1133, 1601, 39919, 822, 15749, 7545, 531, 30726, 5609, 236881, 103453, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 3671, 236761, 28344, 611, 2426, 1041, 2430, 4889, 1570, 531, 5330, 1041, 4301, 3055, 563, 15195, 74252, 1208, 756, 236806, 143204, 236743, 236778, 236771, 236778, 236810, 236789, 528, 506, 15749, 14626, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 13330, 1083, 3714, 69607, 1083, 623, 2073, 8266, 236779, 236832, 236828, 236819, 827, 623, 1201, 1083, 623, 53865, 14654, 57122, 827, 623, 11622, 236779, 2084, 1083, 623, 107332, 827, 623, 27617, 1083, 623, 38556, 23179, 623, 175113, 236779, 23426, 1083, 3714, 27975, 1083, 78493, 1201, 1083, 623, 236806, 143204, 236743, 236778, 236771, 236778, 236810, 827, 623, 5654, 236779, 13304, 1083, 236743, 236812, 236810, 236771, 236771, 236761, 236771, 236764, 623, 4002, 236779, 17873, 1083, 236743, 236800, 236778, 236832, 236810, 236761, 236810, 236764, 623, 5654, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236800, 236771, 827, 623, 72031, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 13304, 1083, 236743, 236810, 236771, 236771, 236761, 236771, 236764, 623, 2084, 1083, 623, 69719, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236771, 236770, 827, 623, 13304, 1083, 236743, 236778, 236771, 236771, 236761, 236771, 236764, 623, 2084, 1083, 623, 69719, 236775, 15947, 200808, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 11069, 15749, 14626, 44898, 506, 623, 236806, 143204, 236743, 236778, 236771, 236778, 236810, 236775, 8038, 563, 15195, 1076, 872, 236888, 5715, 659, 506, 4889, 236787, 138, 108, 1018, 236806, 143204, 236743, 236778, 236771, 236778, 236810, 9642, 1018, 138, 107, 247211, 23170, 27409, 236787, 609, 236812, 236764, 236810, 236771, 236771, 236761, 236771, 236771, 138, 107, 244314, 14040, 31814, 236787, 609, 236800, 236764, 236778, 236832, 236810, 236761, 236810, 236771, 138, 107, 249460, 23170, 6809, 236787, 5142, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 249772, 22583, 236787, 2578, 236832, 236778, 236761, 236828, 236908, 568, 5140, 580, 1873, 7002, 236768, 138, 108, 1018, 17704, 10358, 573, 1174, 23223, 1018, 138, 107, 236772, 5261, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236787, 609, 236810, 236771, 236771, 236761, 236771, 236771, 14664, 138, 107, 236772, 5365, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 236787, 609, 236778, 236771, 236771, 236761, 236771, 236771, 14664, 138, 108, 818, 8038, 1463, 12853, 822, 2864, 236764, 532, 8775, 659, 22074, 50054, 236761, 3153, 236764, 564, 14275, 506, 3328, 3433, 568, 27403, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236810, 236768, 35428, 8427, 699, 506, 6517, 6384, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 28958, 6950, 528, 822, 8781, 236761, 21284, 611, 1133, 531, 6253, 506, 3328, 3433, 531, 8913, 607, 822, 4301, 6614, 236764, 653, 563, 672, 46041, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9366, 1161, 67048, 236779, 1005, 531, 18840, 1041, 25755, 2913, 12262, 573, 40095, 236764, 29972, 236764, 532, 3117, 4342, 236761, 564, 1202, 3530, 19205, 531, 4006, 8330, 10458, 1003, 12524, 4181, 12434, 1651, 16977, 5707, 15737, 236761, 6542, 236764, 8134, 1027, 50708, 3996, 127481, 600, 2473, 71635, 861, 10411, 236761, 106, 107, 105, 4368, 107, 9366, 4024, 822, 25755, 2913, 12262, 1816, 236764, 532, 564, 236789, 859, 18840, 625, 1699, 67048, 236779, 1005, 236761, 669, 5904, 795, 8701, 40095, 4342, 236764, 29972, 4078, 236764, 532, 3117, 114461, 236764, 607, 2931, 5700, 531, 236787, 107, 236770, 236761, 22202, 10458, 1003, 12524, 4181, 12434, 107, 236778, 236761, 7178, 586, 3996, 127481, 600, 2473, 74900, 6611, 573, 861, 10411, 107, 236800, 236761, 62503, 531, 4006, 18510, 1651, 16977, 5707, 15737, 108, 14946, 564, 5908, 822, 1816, 236764, 564, 236789, 859, 2847, 3530, 236764, 83979, 19205, 573, 11531, 236761, 106, 107, 105, 2364, 107, 236840, 95314, 2354, 1816, 4323, 11184, 7937, 236842, 5213, 15124, 5590, 53121, 623, 15413, 74582, 43645, 529, 3602, 29235, 236787, 562, 36376, 573, 13806, 6679, 10868, 669, 12434, 529, 12524, 4181, 568, 4675, 29235, 236768, 1131, 751, 236772, 236770, 236778, 125744, 132117, 496, 131151, 4313, 600, 41131, 131985, 6073, 607, 10231, 8688, 236761, 90060, 4735, 17927, 236764, 1056, 24554, 1131, 16183, 6995, 236764, 740, 96453, 5117, 27581, 236761, 3153, 236764, 83490, 45435, 1149, 16438, 607, 58089, 129018, 568, 46297, 8813, 1804, 236768, 26545, 148407, 236764, 837, 3187, 1861, 1262, 528, 1908, 236772, 129596, 27857, 236761, 23471, 2913, 19505, 1374, 37837, 236787, 236743, 236770, 236761, 2991, 2806, 28803, 14896, 6436, 2351, 6330, 16183, 9108, 236743, 236778, 236761, 183954, 1493, 118152, 10834, 1262, 699, 12498, 236772, 27612, 14175, 236743, 236800, 236761, 12911, 93940, 4322, 28994, 1343, 16217, 68360, 4681, 43669, 24481, 3204, 17096, 45256, 2802, 531, 7359, 532, 29756, 236764, 6412, 528, 17310, 564, 7958, 1298, 12308, 28893, 39220, 236761, 112200, 6995, 13443, 1921, 577, 8104, 531, 2174, 10411, 990, 531, 5274, 607, 6436, 1133, 25634, 28282, 236764, 54934, 2193, 236764, 532, 20222, 28644, 14175, 1781, 870, 7315, 529, 2354, 1816, 236842, 5213, 46163, 93861, 573, 13768, 53121, 236743, 236770, 236761, 28733, 127481, 528, 8330, 10458, 568, 236744, 236761, 236759, 1126, 623, 138648, 4735, 17927, 2098, 623, 845, 1280, 10834, 1262, 1373, 600, 2473, 1202, 99637, 236743, 236778, 236761, 49644, 50708, 19707, 23974, 528, 506, 131985, 6073, 3336, 236743, 236800, 236761, 59336, 919, 18997, 24277, 531, 37485, 1133, 623, 9181, 236772, 129596, 27857, 236775, 532, 623, 129152, 236775, 528, 506, 16960, 15649, 236743, 236812, 236761, 41152, 506, 5707, 15737, 7474, 9958, 1651, 14526, 36453, 573, 861, 10411, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 28263, 1083, 3714, 236804, 89178, 236779, 16213, 3701, 1083, 78493, 6061, 1083, 623, 138648, 4735, 17927, 827, 623, 147376, 1083, 623, 32306, 4735, 3797, 827, 623, 27388, 1083, 623, 9474, 15283, 573, 45435, 60247, 607, 8330, 3602, 29235, 36010, 23179, 3714, 6061, 1083, 623, 845, 1280, 10834, 1262, 827, 623, 147376, 1083, 623, 12915, 5609, 16074, 1262, 827, 623, 27388, 1083, 623, 148557, 11427, 5708, 573, 861, 10411, 1651, 16977, 5707, 4403, 25938, 1604, 623, 54554, 236779, 27629, 1083, 78493, 17368, 1083, 623, 818, 12434, 529, 12524, 4181, 568, 4675, 29235, 236768, 1131, 751, 236772, 236770, 236778, 125744, 132117, 496, 131151, 4313, 600, 41131, 131985, 6073, 607, 10231, 8688, 10498, 623, 85038, 567, 1083, 623, 38782, 1131, 1156, 23974, 236787, 756, 164003, 4181, 568, 4675, 29235, 236768, 12434, 1131, 751, 236772, 236770, 236778, 125744, 7087, 5065, 6237, 236761, 47844, 8688, 1921, 7002, 10299, 6073, 607, 19074, 5428, 7085, 25938, 1604, 623, 23376, 236779, 36988, 4853, 1083, 78493, 17368, 1083, 623, 9181, 236772, 129596, 27857, 827, 623, 147376, 1083, 623, 10331, 3091, 68248, 827, 623, 6875, 1083, 623, 236798, 5352, 26545, 148407, 6492, 23179, 3714, 17368, 1083, 623, 129152, 827, 623, 147376, 1083, 623, 180289, 827, 623, 6875, 1083, 623, 141242, 24481, 15649, 25938, 1604, 623, 66387, 236779, 127787, 1083, 3714, 78226, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 26329, 1083, 11058, 56753, 15737, 14038, 1343, 6780, 1161, 529, 3755, 1133, 756, 1166, 2806, 28803, 236789, 532, 756, 90987, 68360, 4681, 75334, 623, 143389, 9806, 684, 23612, 756, 2908, 93940, 4322, 28994, 236789, 607, 756, 151273, 5177, 7068, 9262, 236789, 528, 15136, 152254, 623, 854, 49242, 236779, 215582, 1083, 11058, 3218, 8652, 184506, 573, 8330, 3755, 1133, 129018, 532, 28644, 14175, 827, 623, 25588, 7140, 20412, 756, 2542, 2591, 6945, 1680, 20104, 6436, 568, 64572, 28282, 236764, 54934, 2193, 22730, 623, 42762, 756, 39633, 24481, 236789, 607, 756, 2478, 28304, 236789, 573, 4313, 2109, 152254, 623, 4818, 1083, 623, 40812, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 532, 19205, 573, 822, 25755, 2354, 236787, 108, 1018, 236770, 236761, 730, 89178, 58999, 2540, 53121, 107, 236772, 623, 138648, 4735, 17927, 236775, 16130, 623, 32306, 4735, 3797, 236775, 568, 5576, 15283, 1651, 44257, 6590, 236768, 107, 236772, 623, 845, 1280, 10834, 1262, 236775, 16130, 623, 12915, 5609, 16074, 1262, 236775, 568, 16544, 11427, 5708, 573, 861, 45435, 236768, 108, 1018, 236778, 236761, 154864, 74305, 54550, 53121, 107, 30498, 236787, 623, 818, 12434, 529, 12524, 4181, 568, 4675, 29235, 236768, 1131, 751, 236772, 236770, 236778, 125744, 132117, 496, 131151, 4313, 600, 41131, 131985, 6073, 607, 10231, 8688, 1781, 107, 132617, 33847, 236787, 236743, 107, 236775, 39454, 4181, 568, 4675, 29235, 236768, 12434, 1131, 751, 236772, 236770, 236778, 125744, 7087, 5065, 6237, 236761, 47844, 8688, 1921, 7002, 10299, 6073, 607, 19074, 5428, 1781, 108, 1018, 236800, 236761, 209931, 120119, 53121, 107, 236772, 623, 9181, 236772, 129596, 27857, 236775, 16130, 623, 10331, 3091, 68248, 236775, 568, 3241, 60328, 8330, 10634, 1651, 14526, 29972, 236768, 107, 236772, 623, 129152, 236775, 16130, 623, 180289, 236775, 568, 4973, 21331, 14177, 5313, 607, 15779, 6590, 528, 4403, 236768, 108, 1018, 236812, 236761, 100713, 833, 111886, 37270, 42074, 53121, 107, 236772, 23471, 15737, 14038, 1343, 6780, 1161, 529, 3755, 1133, 623, 1166, 2806, 28803, 236775, 532, 623, 90987, 68360, 4681, 236775, 107, 236772, 58731, 2352, 236787, 623, 2908, 93940, 4322, 28994, 236775, 16130, 623, 151273, 5177, 7068, 9262, 236775, 568, 500, 60328, 8330, 10634, 1651, 14526, 36453, 236768, 107, 236772, 4140, 8652, 184506, 573, 82135, 236751, 568, 236798, 5352, 236764, 28644, 14175, 236768, 107, 236772, 39606, 7140, 236787, 623, 2542, 2591, 236764, 6436, 1133, 25634, 28282, 236764, 54934, 2193, 236775, 568, 548, 1045, 2061, 2727, 236768, 107, 236772, 44635, 623, 39633, 24481, 236775, 607, 623, 2478, 28304, 236775, 568, 5576, 139445, 1651, 44257, 8020, 236768, 108, 1018, 229806, 27242, 53121, 236743, 236819, 236778, 236908, 568, 7565, 29350, 3188, 91798, 3904, 607, 3582, 27581, 573, 11531, 236768, 108, 38786, 611, 1133, 786, 531, 2847, 496, 26885, 3567, 529, 506, 1816, 40825, 1239, 19205, 236881, 106, 107, 105, 2364, 107, 236840, 109627, 21685, 5590, 236842, 5213, 15413, 74582, 43645, 529, 3602, 29235, 236787, 562, 36376, 573, 13806, 6679, 10868, 1018, 9426, 4181, 568, 4675, 29235, 236768, 12434, 1131, 751, 236772, 236770, 236778, 125744, 7087, 5065, 6237, 236761, 47844, 8688, 1921, 7002, 10299, 6073, 607, 19074, 5428, 236761, 15735, 4735, 3797, 236764, 1056, 24554, 1131, 16183, 6995, 236764, 740, 96453, 5117, 27581, 236761, 3153, 236764, 83490, 45435, 1149, 16438, 607, 58089, 129018, 568, 46297, 8813, 1804, 236768, 26545, 148407, 236764, 837, 3187, 1861, 1262, 528, 35222, 68248, 236761, 23471, 2913, 19505, 1374, 37837, 236787, 236743, 236770, 236761, 2991, 2806, 28803, 14896, 6436, 2351, 6330, 16183, 9108, 236743, 236778, 236761, 183954, 1493, 5117, 5609, 16074, 1262, 699, 12498, 236772, 27612, 14175, 236743, 236800, 236761, 113682, 5177, 7068, 9262, 1343, 16217, 68360, 4681, 9533, 28304, 3204, 17096, 45256, 2802, 531, 7359, 532, 29756, 236764, 6412, 528, 17310, 564, 7958, 1298, 12308, 28893, 4595, 236761, 112200, 6995, 13443, 1921, 577, 8104, 531, 2174, 10411, 990, 531, 5274, 607, 6436, 236761, 1701, 2591, 236764, 14175, 1133, 25634, 28282, 236764, 54934, 2193, 236764, 532, 20222, 28644, 568, 46217, 60176, 236768, 3797, 2729, 14549, 15154, 7760, 236761, 5213, 161511, 835, 1018, 753, 129018, 236787, 14232, 5058, 573, 15724, 3003, 3004, 532, 5117, 5609, 753, 28644, 236787, 3073, 218066, 4181, 7107, 33939, 4735, 18567, 870, 7315, 529, 75310, 5590, 236842, 5213, 24355, 529, 34356, 53121, 236743, 236770, 236761, 164557, 127481, 1651, 39983, 8330, 10634, 236743, 236778, 236761, 5755, 1725, 19707, 23974, 1131, 182611, 20875, 236743, 236800, 236761, 44629, 184506, 573, 82135, 236751, 568, 236798, 5352, 236764, 28644, 236768, 236743, 236812, 236761, 67045, 2727, 607, 73589, 37485, 236743, 236810, 236761, 6400, 34984, 5707, 15737, 607, 139445, 5192, 21284, 611, 1133, 786, 531, 3213, 580, 1027, 3530, 3336, 573, 3342, 56904, 236764, 653, 3421, 1027, 4767, 10928, 236881, 106, 107, 105, 4368, 107, 11069, 26885, 2354, 11974, 19246, 506, 2307, 10928, 1651, 16977, 5707, 17661, 236888, 669, 3731, 15128, 3188, 5700, 531, 36453, 2180, 94437, 8330, 10634, 236761, 5715, 236789, 236751, 496, 1626, 10834, 236787, 108, 1018, 40308, 159517, 529, 506, 88867, 53121, 107, 236770, 236761, 113452, 5213, 1829, 23765, 95229, 53121, 30054, 2015, 1492, 735, 236743, 236778, 236778, 236908, 7005, 117690, 7620, 568, 2543, 236743, 236771, 236761, 236828, 236832, 531, 236743, 236771, 236761, 236825, 236828, 16783, 6317, 236768, 107, 236778, 236761, 113452, 5213, 236863, 89178, 8813, 53121, 2343, 85859, 3755, 12043, 607, 15283, 78014, 1651, 39983, 6590, 107, 236800, 236761, 113452, 5213, 125912, 37270, 42074, 53121, 213305, 532, 73589, 37485, 8792, 4006, 17042, 107, 236812, 236761, 113452, 5213, 181266, 31814, 53121, 210979, 9747, 568, 236811, 1074, 574, 236772, 236855, 2078, 20922, 32298, 16575, 236787, 236743, 236770, 236770, 236761, 236778, 236768, 1651, 5683, 122499, 568, 236823, 14311, 77294, 13291, 236787, 236743, 236770, 236778, 236761, 236812, 16130, 236743, 236770, 236771, 236761, 236819, 236768, 108, 1018, 100510, 573, 9077, 10867, 29357, 53121, 107, 236770, 236761, 14066, 8009, 496, 10231, 2591, 528, 506, 5707, 2913, 3336, 568, 236744, 236761, 236759, 1126, 623, 12703, 236787, 10352, 25634, 28282, 236789, 236751, 1759, 236772, 2289, 9697, 4926, 531, 6253, 14787, 1373, 107, 236778, 236761, 669, 16960, 15649, 1451, 7458, 699, 496, 12625, 46615, 568, 584, 2487, 236768, 531, 58051, 506, 8020, 529, 12308, 28893, 107, 236800, 236761, 104036, 97592, 528, 82135, 14120, 236787, 623, 25291, 236775, 7412, 1800, 15744, 532, 723, 43505, 528, 506, 2591, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 39525, 496, 1626, 39372, 3567, 40825, 1239, 4767, 170935, 236881, 107, 236778, 236761, 30235, 580, 1027, 3530, 3336, 573, 19276, 3671, 236881, 107, 236800, 236761, 19536, 1668, 56656, 5417, 568, 5282, 496, 9800, 8688, 60218, 20625, 108, 11069, 1873, 12262, 10428, 41131, 8330, 6035, 607, 36453, 7675, 236764, 23673, 236743, 236819, 236832, 236908, 25000, 607, 506, 3303, 16618, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9366, 1161, 67048, 236779, 1005, 531, 18840, 1041, 25755, 2913, 12262, 573, 40095, 236764, 29972, 236764, 532, 3117, 4342, 236761, 564, 1202, 3530, 19205, 531, 4006, 8330, 10458, 1003, 12524, 4181, 12434, 1651, 16977, 5707, 15737, 236761, 6542, 236764, 8134, 1027, 50708, 3996, 127481, 600, 2473, 71635, 861, 10411, 236761, 106, 107, 105, 4368, 107, 9366, 4024, 822, 25755, 2913, 12262, 1816, 236764, 532, 564, 236789, 859, 18840, 625, 1699, 67048, 236779, 1005, 236761, 669, 5904, 795, 8701, 40095, 4342, 236764, 29972, 4078, 236764, 532, 3117, 114461, 236764, 607, 2931, 5700, 531, 236787, 107, 236770, 236761, 22202, 10458, 1003, 12524, 4181, 12434, 107, 236778, 236761, 7178, 586, 3996, 127481, 600, 2473, 74900, 6611, 573, 861, 10411, 107, 236800, 236761, 62503, 531, 4006, 18510, 1651, 16977, 5707, 15737, 108, 14946, 564, 5908, 822, 1816, 236764, 564, 236789, 859, 2847, 3530, 236764, 83979, 19205, 573, 11531, 236761, 106, 107, 105, 2364, 107, 236840, 95314, 2354, 1816, 4323, 11184, 7937, 236842, 5213, 15124, 5590, 53121, 623, 15413, 74582, 43645, 529, 3602, 29235, 236787, 562, 36376, 573, 13806, 6679, 10868, 669, 12434, 529, 12524, 4181, 568, 4675, 29235, 236768, 1131, 751, 236772, 236770, 236778, 125744, 132117, 496, 131151, 4313, 600, 41131, 131985, 6073, 607, 10231, 8688, 236761, 90060, 4735, 17927, 236764, 1056, 24554, 1131, 16183, 6995, 236764, 740, 96453, 5117, 27581, 236761, 3153, 236764, 83490, 45435, 1149, 16438, 607, 58089, 129018, 568, 46297, 8813, 1804, 236768, 26545, 148407, 236764, 837, 3187, 1861, 1262, 528, 1908, 236772, 129596, 27857, 236761, 23471, 2913, 19505, 1374, 37837, 236787, 236743, 236770, 236761, 2991, 2806, 28803, 14896, 6436, 2351, 6330, 16183, 9108, 236743, 236778, 236761, 183954, 1493, 118152, 10834, 1262, 699, 12498, 236772, 27612, 14175, 236743, 236800, 236761, 12911, 93940, 4322, 28994, 1343, 16217, 68360, 4681, 43669, 24481, 3204, 17096, 45256, 2802, 531, 7359, 532, 29756, 236764, 6412, 528, 17310, 564, 7958, 1298, 12308, 28893, 39220, 236761, 112200, 6995, 13443, 1921, 577, 8104, 531, 2174, 10411, 990, 531, 5274, 607, 6436, 1133, 25634, 28282, 236764, 54934, 2193, 236764, 532, 20222, 28644, 14175, 1781, 870, 7315, 529, 2354, 1816, 236842, 5213, 46163, 93861, 573, 13768, 53121, 236743, 236770, 236761, 28733, 127481, 528, 8330, 10458, 568, 236744, 236761, 236759, 1126, 623, 138648, 4735, 17927, 2098, 623, 845, 1280, 10834, 1262, 1373, 600, 2473, 1202, 99637, 236743, 236778, 236761, 49644, 50708, 19707, 23974, 528, 506, 131985, 6073, 3336, 236743, 236800, 236761, 59336, 919, 18997, 24277, 531, 37485, 1133, 623, 9181, 236772, 129596, 27857, 236775, 532, 623, 129152, 236775, 528, 506, 16960, 15649, 236743, 236812, 236761, 41152, 506, 5707, 15737, 7474, 9958, 1651, 14526, 36453, 573, 861, 10411, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 28263, 1083, 3714, 236804, 89178, 236779, 16213, 3701, 1083, 78493, 6061, 1083, 623, 138648, 4735, 17927, 827, 623, 147376, 1083, 623, 32306, 4735, 3797, 827, 623, 27388, 1083, 623, 9474, 15283, 573, 45435, 60247, 607, 8330, 3602, 29235, 36010, 23179, 3714, 6061, 1083, 623, 845, 1280, 10834, 1262, 827, 623, 147376, 1083, 623, 12915, 5609, 16074, 1262, 827, 623, 27388, 1083, 623, 148557, 11427, 5708, 573, 861, 10411, 1651, 16977, 5707, 4403, 25938, 1604, 623, 54554, 236779, 27629, 1083, 78493, 17368, 1083, 623, 818, 12434, 529, 12524, 4181, 568, 4675, 29235, 236768, 1131, 751, 236772, 236770, 236778, 125744, 132117, 496, 131151, 4313, 600, 41131, 131985, 6073, 607, 10231, 8688, 10498, 623, 85038, 567, 1083, 623, 38782, 1131, 1156, 23974, 236787, 756, 164003, 4181, 568, 4675, 29235, 236768, 12434, 1131, 751, 236772, 236770, 236778, 125744, 7087, 5065, 6237, 236761, 47844, 8688, 1921, 7002, 10299, 6073, 607, 19074, 5428, 7085, 25938, 1604, 623, 23376, 236779, 36988, 4853, 1083, 78493, 17368, 1083, 623, 9181, 236772, 129596, 27857, 827, 623, 147376, 1083, 623, 10331, 3091, 68248, 827, 623, 6875, 1083, 623, 236798, 5352, 26545, 148407, 6492, 23179, 3714, 17368, 1083, 623, 129152, 827, 623, 147376, 1083, 623, 180289, 827, 623, 6875, 1083, 623, 141242, 24481, 15649, 25938, 1604, 623, 66387, 236779, 127787, 1083, 3714, 78226, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 26329, 1083, 11058, 56753, 15737, 14038, 1343, 6780, 1161, 529, 3755, 1133, 756, 1166, 2806, 28803, 236789, 532, 756, 90987, 68360, 4681, 75334, 623, 143389, 9806, 684, 23612, 756, 2908, 93940, 4322, 28994, 236789, 607, 756, 151273, 5177, 7068, 9262, 236789, 528, 15136, 152254, 623, 854, 49242, 236779, 215582, 1083, 11058, 3218, 8652, 184506, 573, 8330, 3755, 1133, 129018, 532, 28644, 14175, 827, 623, 25588, 7140, 20412, 756, 2542, 2591, 6945, 1680, 20104, 6436, 568, 64572, 28282, 236764, 54934, 2193, 22730, 623, 42762, 756, 39633, 24481, 236789, 607, 756, 2478, 28304, 236789, 573, 4313, 2109, 152254, 623, 4818, 1083, 623, 40812, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 532, 19205, 573, 822, 25755, 2354, 236787, 108, 1018, 236770, 236761, 730, 89178, 58999, 2540, 53121, 107, 236772, 623, 138648, 4735, 17927, 236775, 16130, 623, 32306, 4735, 3797, 236775, 568, 5576, 15283, 1651, 44257, 6590, 236768, 107, 236772, 623, 845, 1280, 10834, 1262, 236775, 16130, 623, 12915, 5609, 16074, 1262, 236775, 568, 16544, 11427, 5708, 573, 861, 45435, 236768, 108, 1018, 236778, 236761, 154864, 74305, 54550, 53121, 107, 30498, 236787, 623, 818, 12434, 529, 12524, 4181, 568, 4675, 29235, 236768, 1131, 751, 236772, 236770, 236778, 125744, 132117, 496, 131151, 4313, 600, 41131, 131985, 6073, 607, 10231, 8688, 1781, 107, 132617, 33847, 236787, 236743, 107, 236775, 39454, 4181, 568, 4675, 29235, 236768, 12434, 1131, 751, 236772, 236770, 236778, 125744, 7087, 5065, 6237, 236761, 47844, 8688, 1921, 7002, 10299, 6073, 607, 19074, 5428, 1781, 108, 1018, 236800, 236761, 209931, 120119, 53121, 107, 236772, 623, 9181, 236772, 129596, 27857, 236775, 16130, 623, 10331, 3091, 68248, 236775, 568, 3241, 60328, 8330, 10634, 1651, 14526, 29972, 236768, 107, 236772, 623, 129152, 236775, 16130, 623, 180289, 236775, 568, 4973, 21331, 14177, 5313, 607, 15779, 6590, 528, 4403, 236768, 108, 1018, 236812, 236761, 100713, 833, 111886, 37270, 42074, 53121, 107, 236772, 23471, 15737, 14038, 1343, 6780, 1161, 529, 3755, 1133, 623, 1166, 2806, 28803, 236775, 532, 623, 90987, 68360, 4681, 236775, 107, 236772, 58731, 2352, 236787, 623, 2908, 93940, 4322, 28994, 236775, 16130, 623, 151273, 5177, 7068, 9262, 236775, 568, 500, 60328, 8330, 10634, 1651, 14526, 36453, 236768, 107, 236772, 4140, 8652, 184506, 573, 82135, 236751, 568, 236798, 5352, 236764, 28644, 14175, 236768, 107, 236772, 39606, 7140, 236787, 623, 2542, 2591, 236764, 6436, 1133, 25634, 28282, 236764, 54934, 2193, 236775, 568, 548, 1045, 2061, 2727, 236768, 107, 236772, 44635, 623, 39633, 24481, 236775, 607, 623, 2478, 28304, 236775, 568, 5576, 139445, 1651, 44257, 8020, 236768, 108, 1018, 229806, 27242, 53121, 236743, 236819, 236778, 236908, 568, 7565, 29350, 3188, 91798, 3904, 607, 3582, 27581, 573, 11531, 236768, 108, 38786, 611, 1133, 786, 531, 2847, 496, 26885, 3567, 529, 506, 1816, 40825, 1239, 19205, 236881, 106, 107, 105, 2364, 107, 236840, 109627, 21685, 5590, 236842, 5213, 15413, 74582, 43645, 529, 3602, 29235, 236787, 562, 36376, 573, 13806, 6679, 10868, 1018, 9426, 4181, 568, 4675, 29235, 236768, 12434, 1131, 751, 236772, 236770, 236778, 125744, 7087, 5065, 6237, 236761, 47844, 8688, 1921, 7002, 10299, 6073, 607, 19074, 5428, 236761, 15735, 4735, 3797, 236764, 1056, 24554, 1131, 16183, 6995, 236764, 740, 96453, 5117, 27581, 236761, 3153, 236764, 83490, 45435, 1149, 16438, 607, 58089, 129018, 568, 46297, 8813, 1804, 236768, 26545, 148407, 236764, 837, 3187, 1861, 1262, 528, 35222, 68248, 236761, 23471, 2913, 19505, 1374, 37837, 236787, 236743, 236770, 236761, 2991, 2806, 28803, 14896, 6436, 2351, 6330, 16183, 9108, 236743, 236778, 236761, 183954, 1493, 5117, 5609, 16074, 1262, 699, 12498, 236772, 27612, 14175, 236743, 236800, 236761, 113682, 5177, 7068, 9262, 1343, 16217, 68360, 4681, 9533, 28304, 3204, 17096, 45256, 2802, 531, 7359, 532, 29756, 236764, 6412, 528, 17310, 564, 7958, 1298, 12308, 28893, 4595, 236761, 112200, 6995, 13443, 1921, 577, 8104, 531, 2174, 10411, 990, 531, 5274, 607, 6436, 236761, 1701, 2591, 236764, 14175, 1133, 25634, 28282, 236764, 54934, 2193, 236764, 532, 20222, 28644, 568, 46217, 60176, 236768, 3797, 2729, 14549, 15154, 7760, 236761, 5213, 161511, 835, 1018, 753, 129018, 236787, 14232, 5058, 573, 15724, 3003, 3004, 532, 5117, 5609, 753, 28644, 236787, 3073, 218066, 4181, 7107, 33939, 4735, 18567, 870, 7315, 529, 75310, 5590, 236842, 5213, 24355, 529, 34356, 53121, 236743, 236770, 236761, 164557, 127481, 1651, 39983, 8330, 10634, 236743, 236778, 236761, 5755, 1725, 19707, 23974, 1131, 182611, 20875, 236743, 236800, 236761, 44629, 184506, 573, 82135, 236751, 568, 236798, 5352, 236764, 28644, 236768, 236743, 236812, 236761, 67045, 2727, 607, 73589, 37485, 236743, 236810, 236761, 6400, 34984, 5707, 15737, 607, 139445, 5192, 21284, 611, 1133, 786, 531, 3213, 580, 1027, 3530, 3336, 573, 3342, 56904, 236764, 653, 3421, 1027, 4767, 10928, 236881, 106, 107, 105, 4368, 107, 11069, 26885, 2354, 11974, 19246, 506, 2307, 10928, 1651, 16977, 5707, 17661, 236888, 669, 3731, 15128, 3188, 5700, 531, 36453, 2180, 94437, 8330, 10634, 236761, 5715, 236789, 236751, 496, 1626, 10834, 236787, 108, 1018, 40308, 159517, 529, 506, 88867, 53121, 107, 236770, 236761, 113452, 5213, 1829, 23765, 95229, 53121, 30054, 2015, 1492, 735, 236743, 236778, 236778, 236908, 7005, 117690, 7620, 568, 2543, 236743, 236771, 236761, 236828, 236832, 531, 236743, 236771, 236761, 236825, 236828, 16783, 6317, 236768, 107, 236778, 236761, 113452, 5213, 236863, 89178, 8813, 53121, 2343, 85859, 3755, 12043, 607, 15283, 78014, 1651, 39983, 6590, 107, 236800, 236761, 113452, 5213, 125912, 37270, 42074, 53121, 213305, 532, 73589, 37485, 8792, 4006, 17042, 107, 236812, 236761, 113452, 5213, 181266, 31814, 53121, 210979, 9747, 568, 236811, 1074, 574, 236772, 236855, 2078, 20922, 32298, 16575, 236787, 236743, 236770, 236770, 236761, 236778, 236768, 1651, 5683, 122499, 568, 236823, 14311, 77294, 13291, 236787, 236743, 236770, 236778, 236761, 236812, 16130, 236743, 236770, 236771, 236761, 236819, 236768, 108, 1018, 100510, 573, 9077, 10867, 29357, 53121, 107, 236770, 236761, 14066, 8009, 496, 10231, 2591, 528, 506, 5707, 2913, 3336, 568, 236744, 236761, 236759, 1126, 623, 12703, 236787, 10352, 25634, 28282, 236789, 236751, 1759, 236772, 2289, 9697, 4926, 531, 6253, 14787, 1373, 107, 236778, 236761, 669, 16960, 15649, 1451, 7458, 699, 496, 12625, 46615, 568, 584, 2487, 236768, 531, 58051, 506, 8020, 529, 12308, 28893, 107, 236800, 236761, 104036, 97592, 528, 82135, 14120, 236787, 623, 25291, 236775, 7412, 1800, 15744, 532, 723, 43505, 528, 506, 2591, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 39525, 496, 1626, 39372, 3567, 40825, 1239, 4767, 170935, 236881, 107, 236778, 236761, 30235, 580, 1027, 3530, 3336, 573, 19276, 3671, 236881, 107, 236800, 236761, 19536, 1668, 56656, 5417, 568, 5282, 496, 9800, 8688, 60218, 20625, 108, 11069, 1873, 12262, 10428, 41131, 8330, 6035, 607, 36453, 7675, 236764, 23673, 236743, 236819, 236832, 236908, 25000, 607, 506, 3303, 16618, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 66377, 2665, 236764, 506, 4993, 30373, 657, 236652, 11493, 4930, 236761, 564, 236789, 236757, 35447, 496, 2803, 11406, 72628, 18669, 573, 1023, 3272, 532, 2263, 60953, 2148, 8224, 236764, 532, 564, 1202, 531, 2619, 496, 61381, 607, 496, 44426, 3393, 600, 9025, 531, 2460, 4889, 236761, 5315, 236764, 1451, 611, 974, 786, 496, 6376, 45855, 14993, 531, 3204, 580, 506, 61381, 236881, 4298, 236764, 1699, 600, 4453, 14993, 236764, 8729, 496, 44426, 3393, 573, 672, 3530, 1816, 236787, 623, 22163, 1023, 11406, 72628, 18669, 236888, 6809, 236787, 8224, 236764, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 7578, 236787, 236743, 236770, 236771, 8151, 236764, 21617, 236787, 236652, 11493, 6022, 236761, 56892, 236787, 870, 9397, 14993, 1590, 201650, 7323, 776, 1239, 6555, 528, 1900, 834, 506, 14993, 563, 15195, 7006, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 818, 9338, 529, 496, 13460, 7635, 12502, 607, 496, 3161, 2918, 1781, 236783, 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, 236809, 1916, 4182, 236761, 8358, 236761, 854, 236786, 236832, 236763, 236800, 236760, 236819, 236755, 236761, 5067, 827, 623, 1005, 236779, 35432, 1083, 623, 22163, 1023, 11406, 72628, 18669, 236888, 6809, 236787, 8224, 236764, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 7578, 236787, 236743, 236770, 236771, 8151, 236764, 21617, 236787, 236652, 11493, 6022, 236761, 56892, 236787, 669, 9338, 529, 496, 13460, 7635, 12502, 607, 496, 3161, 2918, 10498, 623, 48203, 236779, 2086, 1083, 623, 236770, 236810, 236771, 236781, 236770, 236810, 236771, 827, 623, 19631, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236800, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 44426, 3393, 573, 822, 61381, 236764, 607, 506, 45855, 14993, 15195, 5012, 236787, 108, 1018, 38943, 8739, 10739, 53121, 138, 107, 2574, 1411, 236809, 1916, 4182, 236761, 8358, 236761, 854, 236786, 236832, 236763, 236800, 236760, 236819, 236755, 236761, 5067, 108, 1018, 2067, 52973, 568, 527, 15205, 580, 506, 44426, 3393, 1473, 1018, 138, 107, 236775, 22163, 1023, 11406, 72628, 18669, 236888, 6809, 236787, 8224, 236764, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 7578, 236787, 236743, 236770, 236771, 8151, 236764, 21617, 236787, 236652, 11493, 6022, 236761, 56892, 236787, 669, 9338, 529, 496, 13460, 7635, 12502, 607, 496, 3161, 2918, 1781, 108, 818, 44426, 3393, 563, 236743, 236770, 236810, 236771, 236781, 236770, 236810, 236771, 18033, 532, 691, 7835, 580, 6198, 236743, 236770, 236800, 236764, 236743, 236778, 236771, 236778, 236800, 236761, 35979, 6463, 506, 2471, 699, 506, 10739, 2787, 532, 1138, 625, 531, 822, 61381, 236888, 236743, 242507, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 236764, 564, 236789, 236757, 66377, 2665, 236764, 506, 4993, 30373, 657, 236652, 11493, 4930, 236761, 564, 236789, 236757, 35447, 496, 2803, 11406, 72628, 18669, 573, 1023, 3272, 532, 2263, 60953, 2148, 8224, 236764, 532, 564, 1202, 531, 2619, 496, 61381, 607, 496, 44426, 3393, 600, 9025, 531, 2460, 4889, 236761, 5315, 236764, 1451, 611, 974, 786, 496, 6376, 45855, 14993, 531, 3204, 580, 506, 61381, 236881, 4298, 236764, 1699, 600, 4453, 14993, 236764, 8729, 496, 44426, 3393, 573, 672, 3530, 1816, 236787, 623, 22163, 1023, 11406, 72628, 18669, 236888, 6809, 236787, 8224, 236764, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 7578, 236787, 236743, 236770, 236771, 8151, 236764, 21617, 236787, 236652, 11493, 6022, 236761, 56892, 236787, 870, 9397, 14993, 1590, 201650, 7323, 776, 1239, 6555, 528, 1900, 834, 506, 14993, 563, 15195, 7006, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 818, 9338, 529, 496, 13460, 7635, 12502, 607, 496, 3161, 2918, 1781, 236783, 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, 236809, 1916, 4182, 236761, 8358, 236761, 854, 236786, 236832, 236763, 236800, 236760, 236819, 236755, 236761, 5067, 827, 623, 1005, 236779, 35432, 1083, 623, 22163, 1023, 11406, 72628, 18669, 236888, 6809, 236787, 8224, 236764, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 7578, 236787, 236743, 236770, 236771, 8151, 236764, 21617, 236787, 236652, 11493, 6022, 236761, 56892, 236787, 669, 9338, 529, 496, 13460, 7635, 12502, 607, 496, 3161, 2918, 10498, 623, 48203, 236779, 2086, 1083, 623, 236770, 236810, 236771, 236781, 236770, 236810, 236771, 827, 623, 19631, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236800, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236800, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 44426, 3393, 573, 822, 61381, 236764, 607, 506, 45855, 14993, 15195, 5012, 236787, 108, 1018, 38943, 8739, 10739, 53121, 138, 107, 2574, 1411, 236809, 1916, 4182, 236761, 8358, 236761, 854, 236786, 236832, 236763, 236800, 236760, 236819, 236755, 236761, 5067, 108, 1018, 2067, 52973, 568, 527, 15205, 580, 506, 44426, 3393, 1473, 1018, 138, 107, 236775, 22163, 1023, 11406, 72628, 18669, 236888, 6809, 236787, 8224, 236764, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 7578, 236787, 236743, 236770, 236771, 8151, 236764, 21617, 236787, 236652, 11493, 6022, 236761, 56892, 236787, 669, 9338, 529, 496, 13460, 7635, 12502, 607, 496, 3161, 2918, 1781, 108, 818, 44426, 3393, 563, 236743, 236770, 236810, 236771, 236781, 236770, 236810, 236771, 18033, 532, 691, 7835, 580, 6198, 236743, 236770, 236800, 236764, 236743, 236778, 236771, 236778, 236800, 236761, 35979, 6463, 506, 2471, 699, 506, 10739, 2787, 532, 1138, 625, 531, 822, 61381, 236888, 236743, 242507, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1093, 2765, 531, 2731, 496, 3517, 531, 215949, 24933, 607, 1041, 35308, 2148, 5312, 236888, 28344, 611, 3442, 786, 1003, 1061, 33398, 6541, 532, 1027, 2803, 8848, 901, 735, 573, 9550, 13131, 653, 2455, 4402, 236881, 564, 1461, 531, 1386, 2889, 625, 236789, 236751, 9650, 573, 784, 529, 775, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 123803, 1716, 24933, 827, 623, 7125, 1083, 623, 236770, 236771, 236771, 236771, 19006, 223828, 18977, 236764, 7383, 13245, 236764, 8253, 236743, 236819, 236771, 236771, 236770, 236778, 827, 623, 561, 1194, 236779, 48578, 1083, 236743, 236810, 236825, 236771, 236771, 236771, 236764, 623, 235525, 1083, 3714, 68066, 236779, 561, 1194, 1083, 1847, 236764, 623, 96490, 3287, 1083, 1847, 236764, 623, 4506, 10868, 1083, 623, 23301, 236772, 18865, 157935, 2487, 827, 623, 746, 1097, 878, 1083, 623, 145595, 529, 2780, 3835, 2440, 46898, 236786, 198591, 236772, 6796, 827, 623, 4043, 236779, 84563, 1083, 623, 21550, 573, 7789, 529, 236743, 236778, 236771, 236862, 607, 53838, 6224, 827, 623, 96042, 236779, 22860, 1236, 1083, 623, 17399, 774, 9550, 33398, 4106, 607, 13546, 2802, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 1003, 215949, 24933, 531, 1601, 2731, 822, 3517, 236787, 108, 1018, 1869, 1194, 61242, 66515, 236743, 236810, 236825, 236764, 236771, 236771, 236771, 17823, 236764, 17096, 33503, 2557, 573, 2455, 4402, 236761, 108, 1018, 51551, 95748, 168331, 66515, 138, 107, 236772, 174914, 9550, 33398, 4106, 607, 13546, 2802, 138, 107, 236772, 51739, 3287, 573, 3735, 17042, 1534, 4535, 138, 107, 236772, 221220, 157935, 532, 71314, 138, 108, 1018, 31534, 6308, 68656, 212941, 66515, 138, 107, 236772, 6308, 16677, 2487, 573, 7789, 529, 236743, 236778, 236771, 236862, 607, 53838, 6224, 138, 107, 236772, 12831, 236772, 18865, 157935, 532, 12801, 2780, 3835, 568, 16603, 46898, 236786, 198591, 236772, 6796, 236768, 138, 108, 818, 29353, 563, 1388, 236772, 85465, 531, 6060, 214613, 1026, 1353, 4402, 48539, 236761, 1599, 2473, 1461, 531, 2260, 2299, 16677, 3649, 236764, 618, 5312, 4972, 740, 6739, 855, 6077, 236888, 21284, 611, 1133, 1601, 8159, 15049, 7408, 9851, 653, 36453, 26309, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1093, 2765, 531, 2731, 496, 3517, 531, 215949, 24933, 607, 1041, 35308, 2148, 5312, 236888, 28344, 611, 3442, 786, 1003, 1061, 33398, 6541, 532, 1027, 2803, 8848, 901, 735, 573, 9550, 13131, 653, 2455, 4402, 236881, 564, 1461, 531, 1386, 2889, 625, 236789, 236751, 9650, 573, 784, 529, 775, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 123803, 1716, 24933, 827, 623, 7125, 1083, 623, 236770, 236771, 236771, 236771, 19006, 223828, 18977, 236764, 7383, 13245, 236764, 8253, 236743, 236819, 236771, 236771, 236770, 236778, 827, 623, 561, 1194, 236779, 48578, 1083, 236743, 236810, 236825, 236771, 236771, 236771, 236764, 623, 235525, 1083, 3714, 68066, 236779, 561, 1194, 1083, 1847, 236764, 623, 96490, 3287, 1083, 1847, 236764, 623, 4506, 10868, 1083, 623, 23301, 236772, 18865, 157935, 2487, 827, 623, 746, 1097, 878, 1083, 623, 145595, 529, 2780, 3835, 2440, 46898, 236786, 198591, 236772, 6796, 827, 623, 4043, 236779, 84563, 1083, 623, 21550, 573, 7789, 529, 236743, 236778, 236771, 236862, 607, 53838, 6224, 827, 623, 96042, 236779, 22860, 1236, 1083, 623, 17399, 774, 9550, 33398, 4106, 607, 13546, 2802, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 1003, 215949, 24933, 531, 1601, 2731, 822, 3517, 236787, 108, 1018, 1869, 1194, 61242, 66515, 236743, 236810, 236825, 236764, 236771, 236771, 236771, 17823, 236764, 17096, 33503, 2557, 573, 2455, 4402, 236761, 108, 1018, 51551, 95748, 168331, 66515, 138, 107, 236772, 174914, 9550, 33398, 4106, 607, 13546, 2802, 138, 107, 236772, 51739, 3287, 573, 3735, 17042, 1534, 4535, 138, 107, 236772, 221220, 157935, 532, 71314, 138, 108, 1018, 31534, 6308, 68656, 212941, 66515, 138, 107, 236772, 6308, 16677, 2487, 573, 7789, 529, 236743, 236778, 236771, 236862, 607, 53838, 6224, 138, 107, 236772, 12831, 236772, 18865, 157935, 532, 12801, 2780, 3835, 568, 16603, 46898, 236786, 198591, 236772, 6796, 236768, 138, 108, 818, 29353, 563, 1388, 236772, 85465, 531, 6060, 214613, 1026, 1353, 4402, 48539, 236761, 1599, 2473, 1461, 531, 2260, 2299, 16677, 3649, 236764, 618, 5312, 4972, 740, 6739, 855, 6077, 236888, 21284, 611, 1133, 1601, 8159, 15049, 7408, 9851, 653, 36453, 26309, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 740, 611, 1601, 786, 607, 2613, 25338, 236772, 10619, 236881, 3551, 8705, 236858, 236751, 1010, 6931, 1003, 11691, 1070, 24242, 1343, 16119, 236917, 236764, 840, 564, 236858, 236757, 496, 3103, 5745, 236761, 1293, 6950, 23021, 531, 1161, 496, 4856, 4921, 532, 2233, 657, 3198, 609, 236810, 236771, 236771, 236761, 564, 1537, 236858, 236745, 1461, 531, 974, 62755, 1135, 236764, 834, 1451, 611, 2426, 506, 1873, 593, 236778, 236791, 19388, 573, 24242, 236772, 1071, 236772, 38556, 37707, 236881, 1293, 1176, 531, 1385, 573, 506, 1791, 3136, 236764, 840, 564, 236858, 236757, 711, 2889, 1217, 531, 4260, 625, 855, 236761, 5393, 1461, 531, 1386, 2889, 692, 236858, 500, 711, 1024, 106094, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10328, 1083, 78493, 553, 236779, 547, 1083, 623, 7676, 236917, 236779, 100725, 236779, 38556, 236779, 236771, 236771, 236770, 827, 623, 9707, 1083, 236743, 236778, 236819, 236810, 236771, 236771, 236761, 236810, 236764, 623, 18700, 236779, 13304, 1083, 236743, 236770, 236761, 236778, 236764, 623, 24471, 236779, 8889, 1083, 623, 15433, 236779, 28877, 827, 623, 1387, 236779, 2400, 236779, 13304, 1083, 236743, 236810, 236771, 236771, 236764, 623, 1168, 1877, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 95605, 236779, 2289, 1083, 623, 236770, 236810, 4310, 23179, 3714, 553, 236779, 547, 1083, 623, 7676, 236917, 236779, 100725, 236779, 38556, 236779, 236771, 236812, 236810, 827, 623, 9707, 1083, 236743, 236778, 236819, 236810, 236778, 236771, 236761, 236832, 236810, 236764, 623, 18700, 236779, 13304, 1083, 236743, 236771, 236761, 236828, 236764, 623, 24471, 236779, 8889, 1083, 623, 15433, 236779, 28877, 827, 623, 1387, 236779, 2400, 236779, 13304, 1083, 236743, 236810, 236771, 236771, 236764, 623, 1168, 1877, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 95605, 236779, 2289, 1083, 623, 236778, 236771, 4310, 25938, 1604, 623, 6725, 236779, 11134, 1083, 236743, 236778, 236800, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 5640, 236779, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236764, 623, 28881, 236779, 103411, 1083, 3714, 236760, 7417, 27617, 1083, 623, 38556, 827, 623, 108855, 124479, 1083, 623, 100725, 827, 623, 24471, 236779, 8889, 1083, 623, 15433, 236779, 28877, 827, 623, 1387, 236779, 2400, 236779, 13304, 1083, 236743, 236810, 236771, 236771, 236764, 623, 10479, 236779, 2084, 1083, 623, 9707, 236779, 12456, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 593, 236778, 236791, 24242, 3717, 50241, 580, 16119, 236917, 16590, 822, 13138, 236787, 108, 1018, 17043, 25870, 7989, 53121, 138, 107, 251934, 236743, 236770, 74436, 578, 609, 236778, 236819, 236764, 236810, 236771, 236771, 236761, 236810, 236771, 23058, 138, 107, 236772, 18326, 2886, 236787, 236743, 236770, 236761, 236778, 74436, 138, 107, 236772, 35032, 1996, 236787, 5970, 4921, 138, 107, 236772, 112053, 14470, 236787, 136723, 236743, 236812, 236761, 236828, 236786, 236810, 138, 107, 236772, 29748, 15323, 990, 236787, 236743, 236770, 236810, 4310, 138, 108, 1018, 93993, 19993, 53121, 138, 107, 251934, 236743, 236770, 74436, 578, 609, 236778, 236819, 236764, 236810, 236778, 236771, 236761, 236832, 236810, 23058, 138, 107, 236772, 18326, 2886, 236787, 236743, 236771, 236761, 236828, 74436, 138, 107, 236772, 35032, 1996, 236787, 5970, 4921, 138, 107, 236772, 112053, 14470, 236787, 136723, 236743, 236812, 236761, 236825, 236786, 236810, 138, 107, 236772, 29748, 15323, 990, 236787, 236743, 236778, 236771, 4310, 138, 108, 22186, 3835, 2874, 822, 609, 236810, 236771, 236771, 7081, 13469, 236761, 669, 1171, 772, 5469, 506, 14723, 3385, 607, 11442, 8487, 532, 3715, 58292, 21016, 236761, 2085, 659, 236743, 236778, 236800, 2558, 7704, 529, 2536, 768, 611, 236789, 236753, 1133, 531, 11327, 919, 3835, 236764, 653, 692, 740, 59638, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 5957, 684, 3530, 11196, 769, 21284, 611, 1133, 531, 7162, 607, 886, 529, 1239, 236764, 653, 2426, 4767, 4889, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 740, 611, 1601, 786, 607, 2613, 25338, 236772, 10619, 236881, 3551, 8705, 236858, 236751, 1010, 6931, 1003, 11691, 1070, 24242, 1343, 16119, 236917, 236764, 840, 564, 236858, 236757, 496, 3103, 5745, 236761, 1293, 6950, 23021, 531, 1161, 496, 4856, 4921, 532, 2233, 657, 3198, 609, 236810, 236771, 236771, 236761, 564, 1537, 236858, 236745, 1461, 531, 974, 62755, 1135, 236764, 834, 1451, 611, 2426, 506, 1873, 593, 236778, 236791, 19388, 573, 24242, 236772, 1071, 236772, 38556, 37707, 236881, 1293, 1176, 531, 1385, 573, 506, 1791, 3136, 236764, 840, 564, 236858, 236757, 711, 2889, 1217, 531, 4260, 625, 855, 236761, 5393, 1461, 531, 1386, 2889, 692, 236858, 500, 711, 1024, 106094, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10328, 1083, 78493, 553, 236779, 547, 1083, 623, 7676, 236917, 236779, 100725, 236779, 38556, 236779, 236771, 236771, 236770, 827, 623, 9707, 1083, 236743, 236778, 236819, 236810, 236771, 236771, 236761, 236810, 236764, 623, 18700, 236779, 13304, 1083, 236743, 236770, 236761, 236778, 236764, 623, 24471, 236779, 8889, 1083, 623, 15433, 236779, 28877, 827, 623, 1387, 236779, 2400, 236779, 13304, 1083, 236743, 236810, 236771, 236771, 236764, 623, 1168, 1877, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 95605, 236779, 2289, 1083, 623, 236770, 236810, 4310, 23179, 3714, 553, 236779, 547, 1083, 623, 7676, 236917, 236779, 100725, 236779, 38556, 236779, 236771, 236812, 236810, 827, 623, 9707, 1083, 236743, 236778, 236819, 236810, 236778, 236771, 236761, 236832, 236810, 236764, 623, 18700, 236779, 13304, 1083, 236743, 236771, 236761, 236828, 236764, 623, 24471, 236779, 8889, 1083, 623, 15433, 236779, 28877, 827, 623, 1387, 236779, 2400, 236779, 13304, 1083, 236743, 236810, 236771, 236771, 236764, 623, 1168, 1877, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 95605, 236779, 2289, 1083, 623, 236778, 236771, 4310, 25938, 1604, 623, 6725, 236779, 11134, 1083, 236743, 236778, 236800, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 5640, 236779, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236764, 623, 28881, 236779, 103411, 1083, 3714, 236760, 7417, 27617, 1083, 623, 38556, 827, 623, 108855, 124479, 1083, 623, 100725, 827, 623, 24471, 236779, 8889, 1083, 623, 15433, 236779, 28877, 827, 623, 1387, 236779, 2400, 236779, 13304, 1083, 236743, 236810, 236771, 236771, 236764, 623, 10479, 236779, 2084, 1083, 623, 9707, 236779, 12456, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 593, 236778, 236791, 24242, 3717, 50241, 580, 16119, 236917, 16590, 822, 13138, 236787, 108, 1018, 17043, 25870, 7989, 53121, 138, 107, 251934, 236743, 236770, 74436, 578, 609, 236778, 236819, 236764, 236810, 236771, 236771, 236761, 236810, 236771, 23058, 138, 107, 236772, 18326, 2886, 236787, 236743, 236770, 236761, 236778, 74436, 138, 107, 236772, 35032, 1996, 236787, 5970, 4921, 138, 107, 236772, 112053, 14470, 236787, 136723, 236743, 236812, 236761, 236828, 236786, 236810, 138, 107, 236772, 29748, 15323, 990, 236787, 236743, 236770, 236810, 4310, 138, 108, 1018, 93993, 19993, 53121, 138, 107, 251934, 236743, 236770, 74436, 578, 609, 236778, 236819, 236764, 236810, 236778, 236771, 236761, 236832, 236810, 23058, 138, 107, 236772, 18326, 2886, 236787, 236743, 236771, 236761, 236828, 74436, 138, 107, 236772, 35032, 1996, 236787, 5970, 4921, 138, 107, 236772, 112053, 14470, 236787, 136723, 236743, 236812, 236761, 236825, 236786, 236810, 138, 107, 236772, 29748, 15323, 990, 236787, 236743, 236778, 236771, 4310, 138, 108, 22186, 3835, 2874, 822, 609, 236810, 236771, 236771, 7081, 13469, 236761, 669, 1171, 772, 5469, 506, 14723, 3385, 607, 11442, 8487, 532, 3715, 58292, 21016, 236761, 2085, 659, 236743, 236778, 236800, 2558, 7704, 529, 2536, 768, 611, 236789, 236753, 1133, 531, 11327, 919, 3835, 236764, 653, 692, 740, 59638, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 5957, 684, 3530, 11196, 769, 21284, 611, 1133, 531, 7162, 607, 886, 529, 1239, 236764, 653, 2426, 4767, 4889, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 614, 2460, 528, 496, 2978, 600, 236789, 236751, 236743, 236825, 15930, 1440, 236764, 236743, 236810, 15930, 5777, 236764, 532, 236743, 236778, 236761, 236810, 15930, 1494, 236761, 5315, 236764, 9279, 1217, 1623, 6554, 564, 236789, 859, 1202, 531, 2890, 506, 11595, 236761, 4298, 236764, 2260, 496, 2633, 573, 1156, 657, 2774, 57858, 33549, 528, 124150, 236764, 22869, 573, 496, 4430, 5395, 236761, 13472, 236764, 12270, 17097, 236772, 6796, 4876, 4596, 531, 623, 199283, 56241, 4749, 236775, 531, 27968, 1131, 506, 19573, 1702, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 215539, 531, 7162, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 33277, 236779, 13304, 236779, 18114, 616, 1083, 236743, 236810, 236761, 236810, 236764, 623, 44384, 236779, 7376, 236779, 3476, 236757, 1083, 236743, 236810, 236810, 236761, 236771, 236764, 623, 63265, 1083, 3714, 3119, 1083, 236743, 236825, 236764, 623, 2690, 1083, 236743, 236810, 236764, 623, 4603, 1083, 236743, 236778, 236761, 236810, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 3871, 1083, 78493, 3250, 1083, 623, 147716, 236772, 83899, 7621, 10201, 827, 623, 2451, 1083, 623, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236770, 236761, 4034, 827, 623, 6265, 1083, 623, 32090, 236772, 15370, 13827, 37256, 23179, 3714, 3250, 1083, 623, 115489, 742, 9904, 39405, 827, 623, 2451, 1083, 623, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236778, 236761, 4034, 827, 623, 6265, 1083, 623, 75455, 21270, 31234, 23179, 3714, 3250, 1083, 623, 174779, 18671, 143877, 827, 623, 2451, 1083, 623, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236800, 236761, 4034, 827, 623, 6265, 1083, 623, 19118, 49822, 40187, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 2305, 236779, 3278, 1083, 623, 199283, 56241, 4749, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 560, 7723, 506, 1171, 532, 4168, 9395, 236764, 840, 1202, 4767, 4889, 573, 506, 9180, 22479, 236787, 108, 236770, 236761, 5213, 50672, 86249, 66515, 107, 139, 236772, 1599, 236789, 859, 1202, 5213, 236810, 236761, 236810, 66795, 1018, 529, 6554, 531, 2890, 506, 11595, 568, 236810, 236810, 236761, 236771, 520, 238131, 12606, 2433, 769, 108, 236778, 236761, 5213, 32090, 236772, 15370, 27873, 66515, 107, 139, 236772, 7989, 236743, 236800, 7798, 4876, 573, 13726, 56241, 4749, 236787, 107, 141, 236772, 870, 147716, 236772, 83899, 7621, 10201, 5457, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236770, 236761, 4034, 236768, 138, 107, 141, 236772, 870, 115489, 742, 9904, 39405, 5457, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236778, 236761, 4034, 236768, 138, 107, 141, 236772, 870, 174779, 18671, 143877, 5457, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236800, 236761, 4034, 236768, 108, 236800, 236761, 5213, 5010, 66591, 66515, 107, 139, 236772, 2282, 2260, 657, 2774, 57858, 33549, 528, 124150, 236764, 22869, 236764, 564, 1202, 236787, 107, 141, 236772, 93980, 3433, 568, 78002, 236772, 8395, 236772, 21738, 236768, 107, 141, 236772, 7578, 568, 40325, 236787, 8395, 236768, 107, 141, 236772, 11809, 2425, 568, 7624, 6950, 623, 1708, 1156, 236775, 840, 1202, 26093, 236768, 108, 38786, 611, 1133, 531, 2847, 506, 9724, 4889, 573, 506, 9180, 33391, 236881, 106, 107, 105, 2364, 107, 236772, 6809, 236787, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 753, 7578, 236787, 236743, 236770, 236828, 236787, 236800, 236771, 753, 11809, 19511, 236787, 236743, 236778, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 104094, 236779, 547, 1083, 623, 40352, 236812, 236810, 236825, 236832, 827, 623, 4818, 1083, 623, 10934, 827, 623, 70358, 1083, 623, 4967, 57858, 33549, 827, 623, 61823, 236779, 13308, 1083, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2289, 1083, 623, 236770, 236828, 236787, 236800, 236771, 827, 623, 7362, 236779, 2086, 1083, 236743, 236778, 1807, 106, 107, 105, 4368, 107, 3243, 9395, 735, 1010, 10428, 7723, 236787, 108, 236770, 236761, 5213, 50672, 86249, 66515, 107, 139, 236772, 5213, 236810, 236761, 236810, 66795, 1018, 529, 6554, 3149, 531, 2890, 506, 11595, 568, 6725, 2433, 236787, 236743, 236810, 236810, 236761, 236771, 520, 238131, 769, 108, 236778, 236761, 5213, 32090, 236772, 15370, 27873, 66515, 107, 139, 236772, 34189, 236743, 236800, 4876, 573, 623, 199283, 56241, 4749, 1083, 107, 141, 236772, 870, 147716, 236772, 83899, 7621, 10201, 5457, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236770, 236761, 4034, 236768, 138, 107, 141, 236772, 870, 115489, 742, 9904, 39405, 5457, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236778, 236761, 4034, 236768, 138, 107, 141, 236772, 870, 174779, 18671, 143877, 5457, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236800, 236761, 4034, 236768, 108, 236800, 236761, 5213, 90882, 66591, 66515, 107, 139, 236772, 5213, 5010, 14512, 1018, 657, 2774, 57858, 33549, 568, 19727, 18280, 236764, 22869, 236768, 573, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 657, 236743, 236770, 236828, 236787, 236800, 236771, 568, 236778, 1331, 769, 107, 139, 236772, 125145, 5853, 236787, 5213, 40352, 236812, 236810, 236825, 236832, 1018, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 236743, 245838, 247815, 238178, 249560, 238178, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 614, 2460, 528, 496, 2978, 600, 236789, 236751, 236743, 236825, 15930, 1440, 236764, 236743, 236810, 15930, 5777, 236764, 532, 236743, 236778, 236761, 236810, 15930, 1494, 236761, 5315, 236764, 9279, 1217, 1623, 6554, 564, 236789, 859, 1202, 531, 2890, 506, 11595, 236761, 4298, 236764, 2260, 496, 2633, 573, 1156, 657, 2774, 57858, 33549, 528, 124150, 236764, 22869, 573, 496, 4430, 5395, 236761, 13472, 236764, 12270, 17097, 236772, 6796, 4876, 4596, 531, 623, 199283, 56241, 4749, 236775, 531, 27968, 1131, 506, 19573, 1702, 236761, 3792, 786, 1281, 768, 611, 1202, 1027, 215539, 531, 7162, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 33277, 236779, 13304, 236779, 18114, 616, 1083, 236743, 236810, 236761, 236810, 236764, 623, 44384, 236779, 7376, 236779, 3476, 236757, 1083, 236743, 236810, 236810, 236761, 236771, 236764, 623, 63265, 1083, 3714, 3119, 1083, 236743, 236825, 236764, 623, 2690, 1083, 236743, 236810, 236764, 623, 4603, 1083, 236743, 236778, 236761, 236810, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 3871, 1083, 78493, 3250, 1083, 623, 147716, 236772, 83899, 7621, 10201, 827, 623, 2451, 1083, 623, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236770, 236761, 4034, 827, 623, 6265, 1083, 623, 32090, 236772, 15370, 13827, 37256, 23179, 3714, 3250, 1083, 623, 115489, 742, 9904, 39405, 827, 623, 2451, 1083, 623, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236778, 236761, 4034, 827, 623, 6265, 1083, 623, 75455, 21270, 31234, 23179, 3714, 3250, 1083, 623, 174779, 18671, 143877, 827, 623, 2451, 1083, 623, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236800, 236761, 4034, 827, 623, 6265, 1083, 623, 19118, 49822, 40187, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 2305, 236779, 3278, 1083, 623, 199283, 56241, 4749, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 560, 7723, 506, 1171, 532, 4168, 9395, 236764, 840, 1202, 4767, 4889, 573, 506, 9180, 22479, 236787, 108, 236770, 236761, 5213, 50672, 86249, 66515, 107, 139, 236772, 1599, 236789, 859, 1202, 5213, 236810, 236761, 236810, 66795, 1018, 529, 6554, 531, 2890, 506, 11595, 568, 236810, 236810, 236761, 236771, 520, 238131, 12606, 2433, 769, 108, 236778, 236761, 5213, 32090, 236772, 15370, 27873, 66515, 107, 139, 236772, 7989, 236743, 236800, 7798, 4876, 573, 13726, 56241, 4749, 236787, 107, 141, 236772, 870, 147716, 236772, 83899, 7621, 10201, 5457, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236770, 236761, 4034, 236768, 138, 107, 141, 236772, 870, 115489, 742, 9904, 39405, 5457, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236778, 236761, 4034, 236768, 138, 107, 141, 236772, 870, 174779, 18671, 143877, 5457, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236800, 236761, 4034, 236768, 108, 236800, 236761, 5213, 5010, 66591, 66515, 107, 139, 236772, 2282, 2260, 657, 2774, 57858, 33549, 528, 124150, 236764, 22869, 236764, 564, 1202, 236787, 107, 141, 236772, 93980, 3433, 568, 78002, 236772, 8395, 236772, 21738, 236768, 107, 141, 236772, 7578, 568, 40325, 236787, 8395, 236768, 107, 141, 236772, 11809, 2425, 568, 7624, 6950, 623, 1708, 1156, 236775, 840, 1202, 26093, 236768, 108, 38786, 611, 1133, 531, 2847, 506, 9724, 4889, 573, 506, 9180, 33391, 236881, 106, 107, 105, 2364, 107, 236772, 6809, 236787, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 753, 7578, 236787, 236743, 236770, 236828, 236787, 236800, 236771, 753, 11809, 19511, 236787, 236743, 236778, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 104094, 236779, 547, 1083, 623, 40352, 236812, 236810, 236825, 236832, 827, 623, 4818, 1083, 623, 10934, 827, 623, 70358, 1083, 623, 4967, 57858, 33549, 827, 623, 61823, 236779, 13308, 1083, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 2289, 1083, 623, 236770, 236828, 236787, 236800, 236771, 827, 623, 7362, 236779, 2086, 1083, 236743, 236778, 1807, 106, 107, 105, 4368, 107, 3243, 9395, 735, 1010, 10428, 7723, 236787, 108, 236770, 236761, 5213, 50672, 86249, 66515, 107, 139, 236772, 5213, 236810, 236761, 236810, 66795, 1018, 529, 6554, 3149, 531, 2890, 506, 11595, 568, 6725, 2433, 236787, 236743, 236810, 236810, 236761, 236771, 520, 238131, 769, 108, 236778, 236761, 5213, 32090, 236772, 15370, 27873, 66515, 107, 139, 236772, 34189, 236743, 236800, 4876, 573, 623, 199283, 56241, 4749, 1083, 107, 141, 236772, 870, 147716, 236772, 83899, 7621, 10201, 5457, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236770, 236761, 4034, 236768, 138, 107, 141, 236772, 870, 115489, 742, 9904, 39405, 5457, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236778, 236761, 4034, 236768, 138, 107, 141, 236772, 870, 174779, 18671, 143877, 5457, 2574, 1411, 3871, 236761, 6796, 3871, 236761, 854, 236786, 37019, 236772, 236800, 236761, 4034, 236768, 108, 236800, 236761, 5213, 90882, 66591, 66515, 107, 139, 236772, 5213, 5010, 14512, 1018, 657, 2774, 57858, 33549, 568, 19727, 18280, 236764, 22869, 236768, 573, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 657, 236743, 236770, 236828, 236787, 236800, 236771, 568, 236778, 1331, 769, 107, 139, 236772, 125145, 5853, 236787, 5213, 40352, 236812, 236810, 236825, 236832, 1018, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 236743, 245838, 247815, 238178, 249560, 238178, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 14942, 3399, 26318, 653, 14369, 236789, 9766, 528, 185668, 509, 236764, 27608, 236761, 28344, 611, 1161, 506, 1586, 35105, 182119, 5904, 607, 4563, 1076, 531, 185668, 509, 236764, 27608, 236764, 5192, 618, 5422, 236764, 12425, 236743, 236810, 236771, 7635, 236764, 532, 1722, 618, 3477, 3399, 7972, 653, 14369, 236789, 2436, 236881, 564, 236789, 236753, 1133, 531, 3371, 607, 2263, 49115, 16746, 531, 4024, 11221, 532, 5756, 6360, 607, 23789, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 236770, 1083, 236743, 236800, 236778, 236761, 236770, 236810, 236812, 236832, 236764, 623, 41713, 236770, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236832, 236828, 236810, 236764, 623, 37673, 236778, 1083, 236743, 236800, 236778, 236761, 236770, 236810, 236812, 236832, 236764, 623, 41713, 236778, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236832, 236828, 236810, 236764, 623, 17178, 236779, 100403, 1083, 236743, 236771, 236761, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35105, 1083, 78493, 1201, 1083, 623, 236855, 1002, 509, 11493, 19871, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 19871, 25692, 236764, 185668, 509, 236764, 27608, 236743, 236832, 236819, 236832, 236812, 236810, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236770, 236810, 236812, 236832, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236832, 236828, 236810, 1263, 623, 2084, 1083, 623, 37939, 7972, 827, 623, 17178, 236779, 89803, 1083, 236743, 236812, 236778, 236771, 236771, 1263, 3714, 1201, 1083, 623, 20163, 9539, 53706, 236789, 12726, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 12726, 842, 236764, 185668, 509, 236764, 27608, 236743, 236832, 236819, 236832, 236812, 236810, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236770, 236812, 236828, 236819, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236825, 236832, 236800, 1263, 623, 2084, 1083, 623, 173121, 236789, 2436, 827, 623, 17178, 236779, 89803, 1083, 236743, 236828, 236810, 236771, 236771, 1263, 3714, 1201, 1083, 623, 118538, 119135, 26762, 19871, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 7086, 116030, 3587, 236764, 185668, 509, 236764, 27608, 236743, 236832, 236819, 236832, 236812, 236810, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236770, 236825, 236771, 236770, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236828, 236812, 236778, 1263, 623, 2084, 1083, 623, 37939, 7972, 827, 623, 17178, 236779, 89803, 1083, 236743, 236770, 236778, 236832, 236771, 236771, 104960, 623, 2305, 236779, 12485, 236779, 89803, 1083, 236743, 236828, 236771, 236812, 236825, 236832, 236764, 623, 7125, 236779, 3873, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236770, 236810, 236812, 236832, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236832, 236828, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 659, 14942, 3399, 26318, 532, 14369, 236789, 9766, 528, 185668, 509, 236764, 27608, 568, 49426, 496, 236743, 236810, 236771, 236772, 33432, 12425, 1473, 108, 236770, 236761, 5213, 236855, 1002, 509, 11493, 19871, 1018, 138, 107, 139, 244343, 236743, 236770, 236778, 236800, 19871, 25692, 236764, 185668, 509, 236764, 27608, 236743, 236832, 236819, 236832, 236812, 236810, 138, 107, 139, 248206, 241862, 238178, 2578, 236778, 236761, 236825, 7635, 3121, 138, 107, 139, 242980, 11493, 7972, 573, 2263, 49115, 48030, 236761, 108, 236778, 236761, 5213, 20163, 9539, 53706, 236789, 12726, 1018, 138, 107, 139, 244343, 236743, 236812, 236810, 236825, 12726, 842, 236764, 185668, 509, 236764, 27608, 236743, 236832, 236819, 236832, 236812, 236810, 138, 107, 139, 248206, 241862, 238178, 2578, 236810, 236761, 236800, 7635, 3121, 138, 107, 139, 247002, 28776, 6360, 532, 2263, 9061, 2436, 236761, 108, 236800, 236761, 5213, 118538, 119135, 26762, 19871, 1018, 138, 107, 139, 244343, 236743, 236832, 236828, 236819, 7086, 116030, 3587, 236764, 185668, 509, 236764, 27608, 236743, 236832, 236819, 236832, 236812, 236810, 138, 107, 139, 248206, 241862, 238178, 2578, 236832, 236761, 236819, 7635, 3121, 138, 107, 139, 243536, 11493, 7972, 10317, 580, 11321, 49115, 236761, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 18024, 607, 1239, 11024, 653, 4767, 4889, 236888, 236743, 244608, 106, 107, 105, 2364, 107, 30092, 611, 1161, 506, 974, 236779, 17178, 236779, 2003, 236779, 13319, 236779, 3255, 236779, 14801, 5904, 531, 9279, 506, 5149, 1534, 185668, 509, 236764, 27608, 532, 9516, 49215, 4025, 4556, 236764, 27608, 236881, 564, 236858, 236757, 6995, 496, 1719, 7946, 993, 2148, 2069, 532, 1461, 531, 9128, 1217, 1440, 506, 5697, 795, 1769, 236761, 3792, 236858, 236751, 1460, 237064, 506, 5904, 7087, 1800, 9979, 532, 5022, 236764, 834, 564, 236858, 236753, 2744, 236787, 753, 4085, 236743, 236770, 236787, 185668, 509, 753, 3245, 236743, 236770, 236787, 27608, 753, 17694, 236743, 236770, 236787, 8288, 753, 4085, 236743, 236778, 236787, 9516, 49215, 4025, 4556, 753, 3245, 236743, 236778, 236787, 27608, 753, 17694, 236743, 236778, 236787, 8288, 564, 236858, 236753, 2765, 531, 1281, 506, 4453, 51239, 532, 4301, 990, 531, 3294, 35009, 532, 2731, 20627, 236888, 236743, 245701, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 236770, 236779, 31507, 1083, 3714, 37673, 1083, 236743, 236800, 236778, 236761, 236800, 236812, 236810, 236825, 236764, 623, 41713, 1083, 753, 236770, 236771, 236778, 236761, 236810, 236825, 236832, 236828, 1263, 623, 13319, 236778, 236779, 31507, 1083, 3714, 37673, 1083, 236743, 236778, 236819, 236761, 236810, 236825, 236832, 236828, 236764, 623, 41713, 1083, 753, 236770, 236771, 236800, 236761, 236800, 236812, 236810, 236825, 1263, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236778, 236771, 236761, 236810, 236764, 623, 14210, 1083, 623, 102241, 5149, 1149, 9729, 236793, 8827, 532, 9116, 3439, 711, 5012, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 5149, 14988, 1534, 185668, 509, 236764, 27608, 532, 9516, 49215, 4025, 4556, 236764, 27608, 236787, 108, 1018, 244343, 46783, 53121, 236743, 236778, 236778, 236771, 236761, 236810, 7635, 138, 107, 1018, 245701, 93550, 65525, 7578, 53121, 2578, 236812, 236772, 236810, 3885, 568, 811, 1595, 236764, 10167, 580, 8827, 532, 9116, 236768, 138, 108, 236829, 10282, 149681, 1174, 563, 496, 6850, 236772, 1257, 5149, 236761, 49911, 9204, 990, 1149, 9729, 2721, 580, 4284, 3439, 236764, 4249, 11649, 236764, 532, 20627, 236761, 1701, 1759, 236772, 2289, 8827, 12496, 1680, 822, 7946, 236764, 564, 5840, 16329, 6475, 39247, 653, 649, 12604, 236761, 236743, 108, 175889, 11221, 236787, 42641, 11766, 529, 1813, 236764, 35009, 236764, 532, 496, 89806, 11996, 5689, 573, 672, 19227, 9338, 236888, 236743, 247344, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 8159, 20627, 3008, 506, 1595, 236761, 106, 107, 105, 2364, 107, 30092, 611, 1161, 506, 1586, 35105, 182119, 5904, 1570, 531, 29888, 1884, 4106, 236764, 41997, 101049, 236764, 653, 89806, 24682, 3008, 506, 9116, 1534, 185668, 509, 532, 9516, 49215, 4025, 4556, 236881, 3792, 236858, 236751, 1076, 506, 4563, 531, 9975, 120791, 236764, 27608, 568, 25142, 600, 236858, 236751, 20129, 49817, 779, 5192, 531, 5422, 236764, 12425, 531, 236743, 236800, 236771, 7635, 236764, 532, 1722, 531, 623, 26567, 236775, 653, 623, 4506, 2433, 3056, 564, 236858, 236753, 1133, 531, 2731, 496, 2321, 20627, 531, 10161, 1041, 14897, 532, 4059, 506, 19227, 35750, 1913, 506, 5697, 236761, 236743, 247344, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 236770, 1083, 236743, 236800, 236771, 236761, 236828, 236819, 236770, 236812, 236764, 623, 41713, 236770, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236771, 236771, 236819, 236764, 623, 37673, 236778, 1083, 236743, 236800, 236771, 236761, 236828, 236819, 236770, 236812, 236764, 623, 41713, 236778, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236771, 236771, 236819, 236764, 623, 17178, 236779, 100403, 1083, 236743, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35105, 1083, 78493, 1201, 1083, 623, 32708, 120791, 10973, 14133, 827, 623, 7720, 1083, 623, 236777, 236772, 236770, 236771, 17259, 676, 7901, 236764, 9975, 120791, 236764, 27608, 236743, 236832, 236819, 236832, 236800, 236810, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236771, 236761, 236828, 236819, 236770, 236812, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236771, 236771, 236819, 1263, 623, 2084, 1083, 623, 4506, 236779, 7376, 827, 623, 17178, 236779, 89803, 1083, 236743, 236771, 1263, 3714, 1201, 1083, 623, 142672, 45287, 4556, 827, 623, 7720, 1083, 623, 236800, 236771, 236761, 236832, 236828, 236819, 236770, 10442, 236770, 236771, 236778, 236761, 236832, 236828, 236800, 236778, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236771, 236761, 236832, 236828, 236819, 236770, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236832, 236828, 236800, 236778, 1263, 623, 2084, 1083, 623, 26567, 827, 623, 17178, 236779, 89803, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 1263, 3714, 1201, 1083, 623, 1659, 183203, 8297, 31719, 827, 623, 7720, 1083, 623, 1659, 183203, 236764, 27608, 236743, 236832, 236819, 236828, 236800, 236770, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236771, 236761, 236825, 236832, 236828, 236819, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236828, 236812, 236810, 236825, 1263, 623, 2084, 1083, 623, 1166, 44150, 236779, 1543, 3947, 827, 623, 17178, 236779, 89803, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 1263, 3714, 1201, 1083, 623, 9585, 26727, 10973, 24688, 827, 623, 7720, 1083, 623, 3118, 236772, 236819, 236771, 236764, 64911, 236764, 27608, 236743, 236832, 236819, 236828, 236812, 236778, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236771, 236761, 236832, 236810, 236812, 236800, 236764, 623, 68520, 1083, 753, 236770, 236771, 236800, 236761, 236770, 236778, 236800, 236812, 1263, 623, 2084, 1083, 623, 4506, 236779, 7376, 827, 623, 17178, 236779, 89803, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 104960, 623, 6011, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236812, 236764, 623, 12485, 236779, 3456, 236779, 89803, 1083, 236743, 236812, 236828, 236778, 236828, 236771, 236764, 623, 7125, 236779, 3873, 1083, 3714, 8938, 1083, 236743, 236800, 236771, 236761, 236828, 236819, 236770, 236812, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236771, 236771, 236819, 19465, 106, 107, 105, 4368, 107, 8291, 659, 1884, 4106, 236764, 24682, 236764, 532, 41997, 16746, 3541, 9975, 120791, 236764, 27608, 568, 19836, 2677, 1534, 185668, 509, 532, 9516, 49215, 4025, 4556, 779, 2351, 496, 236743, 236800, 236771, 236772, 33432, 12425, 236787, 108, 236770, 236761, 5213, 32708, 120791, 10973, 14133, 1018, 236743, 245701, 138, 107, 139, 244343, 808, 236777, 236772, 236770, 236771, 17259, 676, 7901, 236764, 9975, 120791, 236764, 27608, 236743, 236832, 236819, 236832, 236800, 236810, 236829, 138, 107, 139, 248206, 241862, 238178, 236743, 236771, 7635, 568, 898, 528, 9975, 120791, 236768, 138, 107, 139, 249552, 238178, 26079, 573, 496, 3823, 13122, 4721, 653, 35727, 1680, 15374, 822, 9338, 236761, 108, 236778, 236761, 5213, 142672, 45287, 4556, 1018, 236743, 247506, 138, 107, 139, 244343, 808, 236800, 236771, 236761, 236832, 236828, 236819, 236770, 10442, 236770, 236771, 236778, 236761, 236832, 236828, 236800, 236778, 236829, 568, 17868, 236761, 236743, 236832, 236761, 236810, 7635, 8874, 529, 9975, 120791, 236768, 138, 107, 139, 248206, 241862, 238178, 2578, 236770, 236778, 236764, 236771, 236771, 236771, 15930, 568, 236832, 236761, 236810, 7635, 236768, 138, 107, 139, 247344, 116292, 19227, 72995, 607, 12815, 5441, 48223, 532, 4429, 48179, 236761, 108, 236800, 236761, 5213, 1659, 183203, 8297, 31719, 1018, 236743, 244746, 138, 107, 139, 244343, 808, 1659, 183203, 236764, 27608, 236743, 236832, 236819, 236828, 236800, 236770, 236829, 568, 17868, 236761, 236743, 236770, 236770, 7635, 19175, 529, 9975, 120791, 236768, 138, 107, 139, 248206, 241862, 238178, 2578, 236770, 236828, 236764, 236771, 236771, 236771, 15930, 568, 236770, 236770, 7635, 236768, 138, 107, 139, 255014, 43902, 3432, 607, 3425, 32844, 532, 53001, 19227, 8208, 568, 4256, 15830, 573, 20503, 769, 108, 236812, 236761, 5213, 9585, 26727, 10973, 24688, 1018, 236743, 478, 397, 392, 426, 138, 107, 139, 244343, 808, 3118, 236772, 236819, 236771, 236764, 64911, 236764, 27608, 236743, 236832, 236819, 236828, 236812, 236778, 236829, 568, 17868, 236761, 236743, 236770, 236810, 236761, 236810, 7635, 649, 529, 9975, 120791, 236768, 138, 107, 139, 248206, 241862, 238178, 2578, 236778, 236810, 236764, 236771, 236771, 236771, 15930, 568, 236770, 236810, 236761, 236810, 7635, 236768, 138, 107, 139, 249726, 45941, 3008, 2590, 236772, 236819, 236771, 236764, 7436, 573, 496, 1626, 10161, 2541, 1680, 17154, 9516, 49215, 236761, 108, 7243, 108, 1018, 245701, 1255, 42272, 53121, 138, 107, 236772, 12613, 5697, 699, 185668, 509, 531, 9516, 49215, 563, 2578, 236778, 236778, 236771, 7635, 75720, 236812, 236964, 236810, 3885, 769, 9620, 236743, 236778, 236964, 236800, 20627, 1699, 1239, 11024, 531, 4059, 506, 19227, 10092, 236761, 138, 107, 236772, 1701, 1759, 236772, 2289, 8827, 12496, 236764, 1161, 6475, 39247, 236786, 236824, 12604, 236761, 138, 107, 236772, 13079, 1813, 236764, 35009, 236764, 532, 92332, 237028, 1580, 9116, 42499, 10883, 19227, 24974, 236888, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 15232, 531, 1027, 529, 1239, 16746, 236888, 236743, 242507, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 14942, 3399, 26318, 653, 14369, 236789, 9766, 528, 185668, 509, 236764, 27608, 236761, 28344, 611, 1161, 506, 1586, 35105, 182119, 5904, 607, 4563, 1076, 531, 185668, 509, 236764, 27608, 236764, 5192, 618, 5422, 236764, 12425, 236743, 236810, 236771, 7635, 236764, 532, 1722, 618, 3477, 3399, 7972, 653, 14369, 236789, 2436, 236881, 564, 236789, 236753, 1133, 531, 3371, 607, 2263, 49115, 16746, 531, 4024, 11221, 532, 5756, 6360, 607, 23789, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 236770, 1083, 236743, 236800, 236778, 236761, 236770, 236810, 236812, 236832, 236764, 623, 41713, 236770, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236832, 236828, 236810, 236764, 623, 37673, 236778, 1083, 236743, 236800, 236778, 236761, 236770, 236810, 236812, 236832, 236764, 623, 41713, 236778, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236832, 236828, 236810, 236764, 623, 17178, 236779, 100403, 1083, 236743, 236771, 236761, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35105, 1083, 78493, 1201, 1083, 623, 236855, 1002, 509, 11493, 19871, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 19871, 25692, 236764, 185668, 509, 236764, 27608, 236743, 236832, 236819, 236832, 236812, 236810, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236770, 236810, 236812, 236832, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236832, 236828, 236810, 1263, 623, 2084, 1083, 623, 37939, 7972, 827, 623, 17178, 236779, 89803, 1083, 236743, 236812, 236778, 236771, 236771, 1263, 3714, 1201, 1083, 623, 20163, 9539, 53706, 236789, 12726, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 12726, 842, 236764, 185668, 509, 236764, 27608, 236743, 236832, 236819, 236832, 236812, 236810, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236770, 236812, 236828, 236819, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236825, 236832, 236800, 1263, 623, 2084, 1083, 623, 173121, 236789, 2436, 827, 623, 17178, 236779, 89803, 1083, 236743, 236828, 236810, 236771, 236771, 1263, 3714, 1201, 1083, 623, 118538, 119135, 26762, 19871, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 7086, 116030, 3587, 236764, 185668, 509, 236764, 27608, 236743, 236832, 236819, 236832, 236812, 236810, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236770, 236825, 236771, 236770, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236828, 236812, 236778, 1263, 623, 2084, 1083, 623, 37939, 7972, 827, 623, 17178, 236779, 89803, 1083, 236743, 236770, 236778, 236832, 236771, 236771, 104960, 623, 2305, 236779, 12485, 236779, 89803, 1083, 236743, 236828, 236771, 236812, 236825, 236832, 236764, 623, 7125, 236779, 3873, 1083, 3714, 8938, 1083, 236743, 236800, 236778, 236761, 236770, 236810, 236812, 236832, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236832, 236828, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 659, 14942, 3399, 26318, 532, 14369, 236789, 9766, 528, 185668, 509, 236764, 27608, 568, 49426, 496, 236743, 236810, 236771, 236772, 33432, 12425, 1473, 108, 236770, 236761, 5213, 236855, 1002, 509, 11493, 19871, 1018, 138, 107, 139, 244343, 236743, 236770, 236778, 236800, 19871, 25692, 236764, 185668, 509, 236764, 27608, 236743, 236832, 236819, 236832, 236812, 236810, 138, 107, 139, 248206, 241862, 238178, 2578, 236778, 236761, 236825, 7635, 3121, 138, 107, 139, 242980, 11493, 7972, 573, 2263, 49115, 48030, 236761, 108, 236778, 236761, 5213, 20163, 9539, 53706, 236789, 12726, 1018, 138, 107, 139, 244343, 236743, 236812, 236810, 236825, 12726, 842, 236764, 185668, 509, 236764, 27608, 236743, 236832, 236819, 236832, 236812, 236810, 138, 107, 139, 248206, 241862, 238178, 2578, 236810, 236761, 236800, 7635, 3121, 138, 107, 139, 247002, 28776, 6360, 532, 2263, 9061, 2436, 236761, 108, 236800, 236761, 5213, 118538, 119135, 26762, 19871, 1018, 138, 107, 139, 244343, 236743, 236832, 236828, 236819, 7086, 116030, 3587, 236764, 185668, 509, 236764, 27608, 236743, 236832, 236819, 236832, 236812, 236810, 138, 107, 139, 248206, 241862, 238178, 2578, 236832, 236761, 236819, 7635, 3121, 138, 107, 139, 243536, 11493, 7972, 10317, 580, 11321, 49115, 236761, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 18024, 607, 1239, 11024, 653, 4767, 4889, 236888, 236743, 244608, 106, 107, 105, 2364, 107, 30092, 611, 1161, 506, 974, 236779, 17178, 236779, 2003, 236779, 13319, 236779, 3255, 236779, 14801, 5904, 531, 9279, 506, 5149, 1534, 185668, 509, 236764, 27608, 532, 9516, 49215, 4025, 4556, 236764, 27608, 236881, 564, 236858, 236757, 6995, 496, 1719, 7946, 993, 2148, 2069, 532, 1461, 531, 9128, 1217, 1440, 506, 5697, 795, 1769, 236761, 3792, 236858, 236751, 1460, 237064, 506, 5904, 7087, 1800, 9979, 532, 5022, 236764, 834, 564, 236858, 236753, 2744, 236787, 753, 4085, 236743, 236770, 236787, 185668, 509, 753, 3245, 236743, 236770, 236787, 27608, 753, 17694, 236743, 236770, 236787, 8288, 753, 4085, 236743, 236778, 236787, 9516, 49215, 4025, 4556, 753, 3245, 236743, 236778, 236787, 27608, 753, 17694, 236743, 236778, 236787, 8288, 564, 236858, 236753, 2765, 531, 1281, 506, 4453, 51239, 532, 4301, 990, 531, 3294, 35009, 532, 2731, 20627, 236888, 236743, 245701, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 236770, 236779, 31507, 1083, 3714, 37673, 1083, 236743, 236800, 236778, 236761, 236800, 236812, 236810, 236825, 236764, 623, 41713, 1083, 753, 236770, 236771, 236778, 236761, 236810, 236825, 236832, 236828, 1263, 623, 13319, 236778, 236779, 31507, 1083, 3714, 37673, 1083, 236743, 236778, 236819, 236761, 236810, 236825, 236832, 236828, 236764, 623, 41713, 1083, 753, 236770, 236771, 236800, 236761, 236800, 236812, 236810, 236825, 1263, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236778, 236771, 236761, 236810, 236764, 623, 14210, 1083, 623, 102241, 5149, 1149, 9729, 236793, 8827, 532, 9116, 3439, 711, 5012, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 5149, 14988, 1534, 185668, 509, 236764, 27608, 532, 9516, 49215, 4025, 4556, 236764, 27608, 236787, 108, 1018, 244343, 46783, 53121, 236743, 236778, 236778, 236771, 236761, 236810, 7635, 138, 107, 1018, 245701, 93550, 65525, 7578, 53121, 2578, 236812, 236772, 236810, 3885, 568, 811, 1595, 236764, 10167, 580, 8827, 532, 9116, 236768, 138, 108, 236829, 10282, 149681, 1174, 563, 496, 6850, 236772, 1257, 5149, 236761, 49911, 9204, 990, 1149, 9729, 2721, 580, 4284, 3439, 236764, 4249, 11649, 236764, 532, 20627, 236761, 1701, 1759, 236772, 2289, 8827, 12496, 1680, 822, 7946, 236764, 564, 5840, 16329, 6475, 39247, 653, 649, 12604, 236761, 236743, 108, 175889, 11221, 236787, 42641, 11766, 529, 1813, 236764, 35009, 236764, 532, 496, 89806, 11996, 5689, 573, 672, 19227, 9338, 236888, 236743, 247344, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 8159, 20627, 3008, 506, 1595, 236761, 106, 107, 105, 2364, 107, 30092, 611, 1161, 506, 1586, 35105, 182119, 5904, 1570, 531, 29888, 1884, 4106, 236764, 41997, 101049, 236764, 653, 89806, 24682, 3008, 506, 9116, 1534, 185668, 509, 532, 9516, 49215, 4025, 4556, 236881, 3792, 236858, 236751, 1076, 506, 4563, 531, 9975, 120791, 236764, 27608, 568, 25142, 600, 236858, 236751, 20129, 49817, 779, 5192, 531, 5422, 236764, 12425, 531, 236743, 236800, 236771, 7635, 236764, 532, 1722, 531, 623, 26567, 236775, 653, 623, 4506, 2433, 3056, 564, 236858, 236753, 1133, 531, 2731, 496, 2321, 20627, 531, 10161, 1041, 14897, 532, 4059, 506, 19227, 35750, 1913, 506, 5697, 236761, 236743, 247344, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 37673, 236770, 1083, 236743, 236800, 236771, 236761, 236828, 236819, 236770, 236812, 236764, 623, 41713, 236770, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236771, 236771, 236819, 236764, 623, 37673, 236778, 1083, 236743, 236800, 236771, 236761, 236828, 236819, 236770, 236812, 236764, 623, 41713, 236778, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236771, 236771, 236819, 236764, 623, 17178, 236779, 100403, 1083, 236743, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35105, 1083, 78493, 1201, 1083, 623, 32708, 120791, 10973, 14133, 827, 623, 7720, 1083, 623, 236777, 236772, 236770, 236771, 17259, 676, 7901, 236764, 9975, 120791, 236764, 27608, 236743, 236832, 236819, 236832, 236800, 236810, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236771, 236761, 236828, 236819, 236770, 236812, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236771, 236771, 236819, 1263, 623, 2084, 1083, 623, 4506, 236779, 7376, 827, 623, 17178, 236779, 89803, 1083, 236743, 236771, 1263, 3714, 1201, 1083, 623, 142672, 45287, 4556, 827, 623, 7720, 1083, 623, 236800, 236771, 236761, 236832, 236828, 236819, 236770, 10442, 236770, 236771, 236778, 236761, 236832, 236828, 236800, 236778, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236771, 236761, 236832, 236828, 236819, 236770, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236832, 236828, 236800, 236778, 1263, 623, 2084, 1083, 623, 26567, 827, 623, 17178, 236779, 89803, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 1263, 3714, 1201, 1083, 623, 1659, 183203, 8297, 31719, 827, 623, 7720, 1083, 623, 1659, 183203, 236764, 27608, 236743, 236832, 236819, 236828, 236800, 236770, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236771, 236761, 236825, 236832, 236828, 236819, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236828, 236812, 236810, 236825, 1263, 623, 2084, 1083, 623, 1166, 44150, 236779, 1543, 3947, 827, 623, 17178, 236779, 89803, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 1263, 3714, 1201, 1083, 623, 9585, 26727, 10973, 24688, 827, 623, 7720, 1083, 623, 3118, 236772, 236819, 236771, 236764, 64911, 236764, 27608, 236743, 236832, 236819, 236828, 236812, 236778, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236771, 236761, 236832, 236810, 236812, 236800, 236764, 623, 68520, 1083, 753, 236770, 236771, 236800, 236761, 236770, 236778, 236800, 236812, 1263, 623, 2084, 1083, 623, 4506, 236779, 7376, 827, 623, 17178, 236779, 89803, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 104960, 623, 6011, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236812, 236764, 623, 12485, 236779, 3456, 236779, 89803, 1083, 236743, 236812, 236828, 236778, 236828, 236771, 236764, 623, 7125, 236779, 3873, 1083, 3714, 8938, 1083, 236743, 236800, 236771, 236761, 236828, 236819, 236770, 236812, 236764, 623, 68520, 1083, 753, 236770, 236771, 236778, 236761, 236819, 236771, 236771, 236819, 19465, 106, 107, 105, 4368, 107, 8291, 659, 1884, 4106, 236764, 24682, 236764, 532, 41997, 16746, 3541, 9975, 120791, 236764, 27608, 568, 19836, 2677, 1534, 185668, 509, 532, 9516, 49215, 4025, 4556, 779, 2351, 496, 236743, 236800, 236771, 236772, 33432, 12425, 236787, 108, 236770, 236761, 5213, 32708, 120791, 10973, 14133, 1018, 236743, 245701, 138, 107, 139, 244343, 808, 236777, 236772, 236770, 236771, 17259, 676, 7901, 236764, 9975, 120791, 236764, 27608, 236743, 236832, 236819, 236832, 236800, 236810, 236829, 138, 107, 139, 248206, 241862, 238178, 236743, 236771, 7635, 568, 898, 528, 9975, 120791, 236768, 138, 107, 139, 249552, 238178, 26079, 573, 496, 3823, 13122, 4721, 653, 35727, 1680, 15374, 822, 9338, 236761, 108, 236778, 236761, 5213, 142672, 45287, 4556, 1018, 236743, 247506, 138, 107, 139, 244343, 808, 236800, 236771, 236761, 236832, 236828, 236819, 236770, 10442, 236770, 236771, 236778, 236761, 236832, 236828, 236800, 236778, 236829, 568, 17868, 236761, 236743, 236832, 236761, 236810, 7635, 8874, 529, 9975, 120791, 236768, 138, 107, 139, 248206, 241862, 238178, 2578, 236770, 236778, 236764, 236771, 236771, 236771, 15930, 568, 236832, 236761, 236810, 7635, 236768, 138, 107, 139, 247344, 116292, 19227, 72995, 607, 12815, 5441, 48223, 532, 4429, 48179, 236761, 108, 236800, 236761, 5213, 1659, 183203, 8297, 31719, 1018, 236743, 244746, 138, 107, 139, 244343, 808, 1659, 183203, 236764, 27608, 236743, 236832, 236819, 236828, 236800, 236770, 236829, 568, 17868, 236761, 236743, 236770, 236770, 7635, 19175, 529, 9975, 120791, 236768, 138, 107, 139, 248206, 241862, 238178, 2578, 236770, 236828, 236764, 236771, 236771, 236771, 15930, 568, 236770, 236770, 7635, 236768, 138, 107, 139, 255014, 43902, 3432, 607, 3425, 32844, 532, 53001, 19227, 8208, 568, 4256, 15830, 573, 20503, 769, 108, 236812, 236761, 5213, 9585, 26727, 10973, 24688, 1018, 236743, 478, 397, 392, 426, 138, 107, 139, 244343, 808, 3118, 236772, 236819, 236771, 236764, 64911, 236764, 27608, 236743, 236832, 236819, 236828, 236812, 236778, 236829, 568, 17868, 236761, 236743, 236770, 236810, 236761, 236810, 7635, 649, 529, 9975, 120791, 236768, 138, 107, 139, 248206, 241862, 238178, 2578, 236778, 236810, 236764, 236771, 236771, 236771, 15930, 568, 236770, 236810, 236761, 236810, 7635, 236768, 138, 107, 139, 249726, 45941, 3008, 2590, 236772, 236819, 236771, 236764, 7436, 573, 496, 1626, 10161, 2541, 1680, 17154, 9516, 49215, 236761, 108, 7243, 108, 1018, 245701, 1255, 42272, 53121, 138, 107, 236772, 12613, 5697, 699, 185668, 509, 531, 9516, 49215, 563, 2578, 236778, 236778, 236771, 7635, 75720, 236812, 236964, 236810, 3885, 769, 9620, 236743, 236778, 236964, 236800, 20627, 1699, 1239, 11024, 531, 4059, 506, 19227, 10092, 236761, 138, 107, 236772, 1701, 1759, 236772, 2289, 8827, 12496, 236764, 1161, 6475, 39247, 236786, 236824, 12604, 236761, 138, 107, 236772, 13079, 1813, 236764, 35009, 236764, 532, 92332, 237028, 1580, 9116, 42499, 10883, 19227, 24974, 236888, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 607, 15232, 531, 1027, 529, 1239, 16746, 236888, 236743, 242507, 106, 107 ]