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, 17531, 236764, 564, 236789, 560, 1010, 4875, 531, 6778, 1041, 4430, 3225, 684, 9722, 919, 36443, 6828, 3835, 236761, 28344, 611, 3927, 573, 2708, 236772, 37716, 6828, 3211, 600, 3213, 580, 20130, 6995, 236881, 564, 1461, 531, 1861, 1070, 5139, 3835, 531, 496, 2321, 861, 7391, 564, 236789, 560, 1010, 6931, 531, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 1201, 1083, 623, 7949, 14053, 57843, 9642, 827, 623, 37716, 236779, 5909, 1083, 623, 976, 827, 623, 10618, 1083, 623, 227231, 6995, 827, 623, 78067, 236779, 2060, 1083, 623, 236800, 236761, 236810, 70887, 623, 44595, 236779, 76975, 1083, 6610, 236770, 236771, 236764, 236771, 236771, 236771, 25938, 107, 14937, 5930, 236779, 1201, 1083, 623, 48496, 25712, 60944, 827, 623, 37716, 236779, 5909, 1083, 623, 976, 827, 623, 10618, 1083, 623, 227231, 6995, 827, 623, 78067, 236779, 2060, 1083, 623, 236778, 236761, 236828, 70887, 623, 44595, 236779, 76975, 1083, 6610, 236810, 236764, 236771, 236771, 236771, 25938, 107, 14937, 5930, 236779, 1201, 1083, 623, 122926, 56952, 106383, 665, 827, 623, 37716, 236779, 5909, 1083, 623, 976, 827, 623, 10618, 1083, 623, 227231, 6995, 827, 623, 78067, 236779, 2060, 1083, 623, 236812, 236761, 236771, 70887, 623, 44595, 236779, 76975, 1083, 6610, 236770, 236810, 236764, 236771, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 2708, 236772, 37716, 6828, 3211, 10317, 580, 20130, 6995, 600, 611, 1451, 1966, 573, 822, 7391, 236787, 108, 236770, 236761, 5213, 7949, 14053, 57843, 9642, 1018, 138, 107, 139, 236772, 19419, 9657, 236787, 236743, 236800, 236761, 236810, 236908, 138, 107, 139, 236772, 38232, 27269, 236787, 609, 236770, 236771, 236764, 236771, 236771, 236771, 138, 108, 236778, 236761, 5213, 48496, 25712, 60944, 1018, 138, 107, 139, 236772, 19419, 9657, 236787, 236743, 236778, 236761, 236828, 236908, 138, 107, 139, 236772, 38232, 27269, 236787, 609, 236810, 236764, 236771, 236771, 236771, 138, 108, 236800, 236761, 5213, 122926, 56952, 106383, 665, 1018, 138, 107, 139, 236772, 19419, 9657, 236787, 236743, 236812, 236761, 236771, 236908, 138, 107, 139, 236772, 38232, 27269, 236787, 609, 236770, 236810, 236764, 236771, 236771, 236771, 138, 108, 38786, 611, 1133, 4767, 4889, 1003, 1027, 529, 1239, 3211, 236764, 653, 1601, 138048, 15136, 531, 3530, 4430, 20183, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 4068, 1694, 236888, 28344, 611, 974, 919, 4889, 580, 506, 5213, 122926, 56952, 106383, 665, 1018, 237028, 145300, 236764, 1027, 12412, 5143, 236764, 46840, 3755, 236764, 532, 3363, 625, 236858, 236751, 9273, 573, 7391, 528, 910, 3649, 236743, 236810, 236771, 236751, 14922, 1724, 12532, 531, 20130, 236881, 564, 236858, 560, 2506, 496, 2321, 7391, 1015, 2473, 577, 7467, 840, 1461, 531, 5330, 625, 100146, 607, 910, 90353, 532, 4652, 26759, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 60333, 4889, 1133, 12412, 236764, 46840, 3755, 236764, 653, 3911, 236772, 15396, 86338, 573, 506, 5213, 122926, 56952, 106383, 665, 1018, 1343, 506, 1873, 6436, 236761, 669, 2487, 5151, 1186, 33205, 6079, 1698, 1262, 568, 236744, 236761, 236759, 1126, 7623, 236764, 7081, 6828, 769, 236743, 108, 2542, 19276, 19317, 236764, 611, 236789, 236753, 1202, 531, 236787, 107, 236770, 236761, 15183, 506, 1698, 236789, 236751, 5125, 13049, 653, 166578, 236761, 107, 236778, 236761, 6890, 496, 24576, 4867, 7948, 568, 2217, 15283, 4323, 1041, 1873, 6436, 769, 107, 236800, 236761, 13948, 506, 12454, 5467, 573, 36443, 9106, 236761, 108, 38786, 611, 1133, 786, 531, 3600, 9302, 2708, 236772, 37716, 20130, 3211, 653, 1601, 12262, 4137, 531, 2679, 506, 96698, 12454, 236881, 106, 107, 105, 2364, 107, 10081, 692, 740, 236789, 236745, 974, 919, 4889, 580, 506, 96698, 236764, 1531, 236789, 236751, 38179, 236761, 28344, 611, 3600, 9578, 5618, 573, 496, 2708, 236772, 37716, 20130, 6995, 2509, 36443, 531, 14105, 7391, 1133, 10701, 236881, 33128, 600, 106673, 5210, 236764, 11646, 236764, 532, 10969, 5603, 236761, 15704, 1161, 506, 756, 828, 236779, 7513, 236779, 73250, 236779, 5900, 236789, 5904, 607, 30154, 1133, 756, 223420, 6945, 756, 102431, 6945, 653, 756, 2046, 80463, 1037, 236789, 531, 114542, 607, 1041, 104978, 532, 14463, 236772, 74211, 102959, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 73250, 236779, 5900, 1083, 11058, 202880, 197859, 16906, 827, 623, 2046, 80463, 1037, 52259, 22113, 2372, 10498, 623, 27996, 236772, 74211, 12267, 28260, 827, 623, 35746, 1169, 6914, 34635, 39134, 107626, 827, 623, 60891, 85454, 12096, 6308, 827, 623, 16520, 28372, 52259, 22230, 827, 623, 10005, 232371, 17587, 69489, 1973, 24756, 827, 623, 218799, 3245, 28917, 1973, 24756, 827, 623, 2046, 80463, 1037, 12267, 10981, 827, 623, 163180, 52259, 10297, 14255, 623, 42999, 236779, 3456, 1083, 623, 223420, 22327, 122116, 20130, 6995, 2509, 827, 623, 37223, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 9578, 1463, 3835, 573, 822, 14105, 236772, 41889, 20130, 6995, 2509, 236764, 66051, 5213, 55737, 236764, 11646, 125546, 532, 5213, 93855, 25828, 66515, 108, 10354, 122116, 833, 14105, 236772, 128345, 42316, 236787, 107, 236770, 236761, 5213, 202880, 197859, 16906, 1018, 138, 107, 139, 16907, 12993, 10272, 41945, 236764, 2523, 22327, 236764, 532, 3399, 23948, 12016, 138, 107, 236778, 236761, 5213, 2046, 80463, 1037, 52259, 22113, 2372, 99382, 138, 107, 139, 16907, 10176, 10969, 5603, 607, 496, 3213, 580, 60370, 2979, 12016, 138, 107, 236800, 236761, 5213, 60891, 85454, 12096, 6308, 1018, 138, 107, 139, 16907, 5493, 9042, 5411, 47755, 236764, 1440, 236772, 6061, 11646, 19240, 531, 2263, 9834, 12016, 138, 107, 236812, 236761, 5213, 16520, 28372, 52259, 22230, 1018, 138, 107, 139, 16907, 164419, 1283, 22799, 14105, 53842, 532, 31877, 5210, 12016, 138, 107, 236810, 236761, 5213, 10005, 232371, 17587, 69489, 1973, 24756, 1018, 138, 107, 139, 16907, 98472, 43123, 900, 33512, 529, 29227, 1583, 12016, 138, 108, 10354, 104978, 236786, 27996, 236772, 74211, 646, 42580, 236787, 138, 107, 236825, 236761, 5213, 27996, 236772, 74211, 12267, 28260, 1018, 138, 107, 139, 16907, 126115, 3399, 236772, 54686, 4867, 2065, 12016, 138, 107, 236832, 236761, 5213, 35746, 1169, 6914, 34635, 39134, 107626, 1018, 138, 107, 139, 16907, 80524, 39134, 578, 2523, 236786, 37939, 236764, 33481, 607, 5707, 14984, 12016, 138, 107, 236828, 236761, 5213, 218799, 3245, 28917, 1973, 24756, 1018, 138, 107, 139, 16907, 163180, 21077, 900, 22327, 236772, 41889, 12016, 138, 108, 10354, 12267, 833, 52259, 137944, 236787, 138, 107, 236819, 236761, 5213, 2046, 80463, 1037, 12267, 10981, 1018, 138, 107, 139, 16907, 185310, 10969, 21077, 607, 4867, 21016, 12016, 138, 107, 236770, 236771, 236761, 5213, 163180, 52259, 10297, 1018, 138, 107, 140, 16907, 14166, 236751, 3577, 22327, 531, 36443, 4867, 11298, 12016, 138, 108, 10354, 12067, 50228, 236787, 107, 236772, 21284, 611, 1133, 531, 59638, 506, 1694, 568, 236744, 236761, 236759, 1126, 919, 10781, 7728, 236761, 3399, 236772, 41889, 20625, 138, 107, 236772, 2408, 17794, 1239, 607, 7853, 8721, 1133, 165996, 11069, 12831, 236858, 236751, 17143, 236764, 37081, 524, 528, 12267, 147698, 236881, 138, 108, 6481, 786, 1281, 822, 22195, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 560, 1010, 4875, 531, 6778, 1041, 4430, 3225, 684, 9722, 919, 36443, 6828, 3835, 236761, 28344, 611, 3927, 573, 2708, 236772, 37716, 6828, 3211, 600, 3213, 580, 20130, 6995, 236881, 564, 1461, 531, 1861, 1070, 5139, 3835, 531, 496, 2321, 861, 7391, 564, 236789, 560, 1010, 6931, 531, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 1201, 1083, 623, 7949, 14053, 57843, 9642, 827, 623, 37716, 236779, 5909, 1083, 623, 976, 827, 623, 10618, 1083, 623, 227231, 6995, 827, 623, 78067, 236779, 2060, 1083, 623, 236800, 236761, 236810, 70887, 623, 44595, 236779, 76975, 1083, 6610, 236770, 236771, 236764, 236771, 236771, 236771, 25938, 107, 14937, 5930, 236779, 1201, 1083, 623, 48496, 25712, 60944, 827, 623, 37716, 236779, 5909, 1083, 623, 976, 827, 623, 10618, 1083, 623, 227231, 6995, 827, 623, 78067, 236779, 2060, 1083, 623, 236778, 236761, 236828, 70887, 623, 44595, 236779, 76975, 1083, 6610, 236810, 236764, 236771, 236771, 236771, 25938, 107, 14937, 5930, 236779, 1201, 1083, 623, 122926, 56952, 106383, 665, 827, 623, 37716, 236779, 5909, 1083, 623, 976, 827, 623, 10618, 1083, 623, 227231, 6995, 827, 623, 78067, 236779, 2060, 1083, 623, 236812, 236761, 236771, 70887, 623, 44595, 236779, 76975, 1083, 6610, 236770, 236810, 236764, 236771, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1070, 2708, 236772, 37716, 6828, 3211, 10317, 580, 20130, 6995, 600, 611, 1451, 1966, 573, 822, 7391, 236787, 108, 236770, 236761, 5213, 7949, 14053, 57843, 9642, 1018, 138, 107, 139, 236772, 19419, 9657, 236787, 236743, 236800, 236761, 236810, 236908, 138, 107, 139, 236772, 38232, 27269, 236787, 609, 236770, 236771, 236764, 236771, 236771, 236771, 138, 108, 236778, 236761, 5213, 48496, 25712, 60944, 1018, 138, 107, 139, 236772, 19419, 9657, 236787, 236743, 236778, 236761, 236828, 236908, 138, 107, 139, 236772, 38232, 27269, 236787, 609, 236810, 236764, 236771, 236771, 236771, 138, 108, 236800, 236761, 5213, 122926, 56952, 106383, 665, 1018, 138, 107, 139, 236772, 19419, 9657, 236787, 236743, 236812, 236761, 236771, 236908, 138, 107, 139, 236772, 38232, 27269, 236787, 609, 236770, 236810, 236764, 236771, 236771, 236771, 138, 108, 38786, 611, 1133, 4767, 4889, 1003, 1027, 529, 1239, 3211, 236764, 653, 1601, 138048, 15136, 531, 3530, 4430, 20183, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 4068, 1694, 236888, 28344, 611, 974, 919, 4889, 580, 506, 5213, 122926, 56952, 106383, 665, 1018, 237028, 145300, 236764, 1027, 12412, 5143, 236764, 46840, 3755, 236764, 532, 3363, 625, 236858, 236751, 9273, 573, 7391, 528, 910, 3649, 236743, 236810, 236771, 236751, 14922, 1724, 12532, 531, 20130, 236881, 564, 236858, 560, 2506, 496, 2321, 7391, 1015, 2473, 577, 7467, 840, 1461, 531, 5330, 625, 100146, 607, 910, 90353, 532, 4652, 26759, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 60333, 4889, 1133, 12412, 236764, 46840, 3755, 236764, 653, 3911, 236772, 15396, 86338, 573, 506, 5213, 122926, 56952, 106383, 665, 1018, 1343, 506, 1873, 6436, 236761, 669, 2487, 5151, 1186, 33205, 6079, 1698, 1262, 568, 236744, 236761, 236759, 1126, 7623, 236764, 7081, 6828, 769, 236743, 108, 2542, 19276, 19317, 236764, 611, 236789, 236753, 1202, 531, 236787, 107, 236770, 236761, 15183, 506, 1698, 236789, 236751, 5125, 13049, 653, 166578, 236761, 107, 236778, 236761, 6890, 496, 24576, 4867, 7948, 568, 2217, 15283, 4323, 1041, 1873, 6436, 769, 107, 236800, 236761, 13948, 506, 12454, 5467, 573, 36443, 9106, 236761, 108, 38786, 611, 1133, 786, 531, 3600, 9302, 2708, 236772, 37716, 20130, 3211, 653, 1601, 12262, 4137, 531, 2679, 506, 96698, 12454, 236881, 106, 107, 105, 2364, 107, 10081, 692, 740, 236789, 236745, 974, 919, 4889, 580, 506, 96698, 236764, 1531, 236789, 236751, 38179, 236761, 28344, 611, 3600, 9578, 5618, 573, 496, 2708, 236772, 37716, 20130, 6995, 2509, 36443, 531, 14105, 7391, 1133, 10701, 236881, 33128, 600, 106673, 5210, 236764, 11646, 236764, 532, 10969, 5603, 236761, 15704, 1161, 506, 756, 828, 236779, 7513, 236779, 73250, 236779, 5900, 236789, 5904, 607, 30154, 1133, 756, 223420, 6945, 756, 102431, 6945, 653, 756, 2046, 80463, 1037, 236789, 531, 114542, 607, 1041, 104978, 532, 14463, 236772, 74211, 102959, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 73250, 236779, 5900, 1083, 11058, 202880, 197859, 16906, 827, 623, 2046, 80463, 1037, 52259, 22113, 2372, 10498, 623, 27996, 236772, 74211, 12267, 28260, 827, 623, 35746, 1169, 6914, 34635, 39134, 107626, 827, 623, 60891, 85454, 12096, 6308, 827, 623, 16520, 28372, 52259, 22230, 827, 623, 10005, 232371, 17587, 69489, 1973, 24756, 827, 623, 218799, 3245, 28917, 1973, 24756, 827, 623, 2046, 80463, 1037, 12267, 10981, 827, 623, 163180, 52259, 10297, 14255, 623, 42999, 236779, 3456, 1083, 623, 223420, 22327, 122116, 20130, 6995, 2509, 827, 623, 37223, 236779, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 9578, 1463, 3835, 573, 822, 14105, 236772, 41889, 20130, 6995, 2509, 236764, 66051, 5213, 55737, 236764, 11646, 125546, 532, 5213, 93855, 25828, 66515, 108, 10354, 122116, 833, 14105, 236772, 128345, 42316, 236787, 107, 236770, 236761, 5213, 202880, 197859, 16906, 1018, 138, 107, 139, 16907, 12993, 10272, 41945, 236764, 2523, 22327, 236764, 532, 3399, 23948, 12016, 138, 107, 236778, 236761, 5213, 2046, 80463, 1037, 52259, 22113, 2372, 99382, 138, 107, 139, 16907, 10176, 10969, 5603, 607, 496, 3213, 580, 60370, 2979, 12016, 138, 107, 236800, 236761, 5213, 60891, 85454, 12096, 6308, 1018, 138, 107, 139, 16907, 5493, 9042, 5411, 47755, 236764, 1440, 236772, 6061, 11646, 19240, 531, 2263, 9834, 12016, 138, 107, 236812, 236761, 5213, 16520, 28372, 52259, 22230, 1018, 138, 107, 139, 16907, 164419, 1283, 22799, 14105, 53842, 532, 31877, 5210, 12016, 138, 107, 236810, 236761, 5213, 10005, 232371, 17587, 69489, 1973, 24756, 1018, 138, 107, 139, 16907, 98472, 43123, 900, 33512, 529, 29227, 1583, 12016, 138, 108, 10354, 104978, 236786, 27996, 236772, 74211, 646, 42580, 236787, 138, 107, 236825, 236761, 5213, 27996, 236772, 74211, 12267, 28260, 1018, 138, 107, 139, 16907, 126115, 3399, 236772, 54686, 4867, 2065, 12016, 138, 107, 236832, 236761, 5213, 35746, 1169, 6914, 34635, 39134, 107626, 1018, 138, 107, 139, 16907, 80524, 39134, 578, 2523, 236786, 37939, 236764, 33481, 607, 5707, 14984, 12016, 138, 107, 236828, 236761, 5213, 218799, 3245, 28917, 1973, 24756, 1018, 138, 107, 139, 16907, 163180, 21077, 900, 22327, 236772, 41889, 12016, 138, 108, 10354, 12267, 833, 52259, 137944, 236787, 138, 107, 236819, 236761, 5213, 2046, 80463, 1037, 12267, 10981, 1018, 138, 107, 139, 16907, 185310, 10969, 21077, 607, 4867, 21016, 12016, 138, 107, 236770, 236771, 236761, 5213, 163180, 52259, 10297, 1018, 138, 107, 140, 16907, 14166, 236751, 3577, 22327, 531, 36443, 4867, 11298, 12016, 138, 108, 10354, 12067, 50228, 236787, 107, 236772, 21284, 611, 1133, 531, 59638, 506, 1694, 568, 236744, 236761, 236759, 1126, 919, 10781, 7728, 236761, 3399, 236772, 41889, 20625, 138, 107, 236772, 2408, 17794, 1239, 607, 7853, 8721, 1133, 165996, 11069, 12831, 236858, 236751, 17143, 236764, 37081, 524, 528, 12267, 147698, 236881, 138, 108, 6481, 786, 1281, 822, 22195, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 1586, 496, 3530, 16530, 26497, 5410, 684, 669, 971, 129276, 2279, 600, 564, 6827, 13013, 4578, 236761, 669, 1186, 31866, 564, 5630, 659, 756, 13825, 26607, 529, 3826, 7085, 5315, 236764, 3927, 56852, 18706, 573, 35091, 21250, 756, 13825, 26607, 529, 3826, 236789, 1699, 3822, 236779, 3250, 236761, 1637, 600, 7623, 2536, 236764, 1769, 506, 1171, 27355, 236789, 236751, 3822, 532, 3927, 8582, 573, 669, 971, 129276, 2279, 19575, 529, 625, 236761, 1637, 56852, 18706, 815, 5017, 236764, 2056, 19460, 8582, 5467, 607, 756, 818, 971, 129276, 2279, 19519, 26607, 529, 3826, 236789, 618, 506, 30136, 236761, 38004, 1595, 236764, 564, 1461, 506, 1626, 8582, 2536, 28700, 1131, 16530, 1699, 506, 13959, 5904, 236764, 1164, 528, 1624, 506, 5410, 815, 496, 114331, 3822, 564, 236789, 236757, 75228, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 122707, 25008, 529, 7086, 827, 623, 6386, 1083, 623, 236788, 87911, 708, 236789, 54258, 827, 623, 8721, 1083, 11058, 10936, 83856, 38414, 29887, 506, 38306, 204076, 623, 236776, 59155, 529, 7764, 563, 45048, 10498, 623, 24452, 70914, 5268, 1298, 137065, 38258, 204076, 623, 818, 12440, 34123, 506, 44185, 1677, 3442, 62192, 623, 547, 1083, 623, 4885, 3158, 236779, 236828, 236832, 236812, 236810, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 40232, 1083, 78493, 3250, 1083, 623, 818, 971, 129276, 2279, 753, 62039, 25008, 529, 7086, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 28180, 236770, 236778, 236800, 827, 623, 12027, 1083, 623, 81314, 24068, 169197, 827, 623, 32071, 236779, 502, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236800, 236772, 236770, 236832, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 13084, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 1263, 3714, 3250, 1083, 623, 818, 971, 129276, 2279, 15097, 528, 27071, 753, 62039, 25008, 529, 7086, 568, 2730, 6102, 22730, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 2063, 236812, 236810, 236825, 827, 623, 12027, 1083, 623, 177515, 1505, 156457, 827, 623, 32071, 236779, 502, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236828, 236772, 236771, 236810, 236774, 236778, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 13084, 1083, 236743, 236828, 236819, 236771, 236771, 236771, 104960, 623, 2305, 236779, 3906, 1083, 3714, 3278, 1083, 623, 818, 971, 129276, 2279, 19519, 26607, 529, 3826, 827, 623, 13647, 1083, 623, 27211, 4184, 827, 623, 19859, 1083, 623, 501, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132773, 236779, 1005, 1083, 623, 7199, 12626, 1132, 6734, 236785, 236756, 236771, 236771, 524, 753, 6839, 565, 1904, 525, 149228, 2762, 7852, 667, 212616, 236785, 236749, 7199, 12626, 1132, 6734, 236785, 236756, 236771, 236771, 524, 2199, 236748, 858, 520, 236799, 236785, 236756, 236771, 236771, 236744, 236770, 755, 621, 236756, 236771, 236771, 236755, 236770, 7852, 57488, 651, 753, 6839, 565, 1904, 525, 149228, 2762, 7852, 667, 212616, 568, 2267, 1958, 236756, 7896, 7678, 236785, 236756, 236771, 236771, 524, 4267, 16291, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 1765, 2269, 822, 11808, 236787, 108, 236770, 236761, 5213, 10541, 13184, 18706, 11130, 66515, 107, 139, 236772, 180538, 236787, 165996, 122707, 25008, 529, 7086, 147698, 684, 123406, 708, 236789, 54258, 107, 139, 236772, 1787, 97008, 236787, 138, 107, 141, 71510, 10936, 83856, 38414, 29887, 506, 38306, 236764, 138, 107, 141, 236776, 59155, 529, 7764, 563, 45048, 24002, 236829, 108, 236778, 236761, 5213, 53824, 17647, 573, 669, 971, 129276, 2279, 66515, 107, 139, 236772, 5213, 236840, 10485, 236743, 236770, 236842, 1018, 138, 107, 141, 7396, 236787, 165996, 818, 971, 129276, 2279, 753, 62039, 25008, 529, 7086, 147698, 138, 107, 141, 18842, 236787, 16530, 24068, 169197, 568, 236778, 236771, 236778, 236778, 236768, 138, 107, 141, 236840, 19242, 1590, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 28180, 236770, 236778, 236800, 236768, 107, 139, 107, 139, 236772, 5213, 236840, 10485, 236743, 236778, 236842, 1018, 138, 107, 141, 7396, 236787, 165996, 818, 971, 129276, 2279, 15097, 528, 27071, 753, 62039, 25008, 529, 7086, 568, 2730, 6102, 16291, 236829, 138, 107, 141, 18842, 236787, 27071, 1505, 156457, 568, 236778, 236771, 236770, 236819, 236768, 138, 107, 141, 236840, 19242, 1590, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 2063, 236812, 236810, 236825, 236768, 108, 236800, 236761, 5213, 81314, 200339, 1018, 568, 15218, 214085, 236772, 236754, 3390, 13447, 236772, 36399, 1473, 138, 107, 139, 236772, 165996, 7199, 12626, 1132, 6734, 236928, 753, 6839, 565, 1904, 525, 149228, 2762, 7852, 667, 212616, 147698, 138, 107, 139, 236772, 165996, 7199, 12626, 1132, 6734, 236928, 2199, 236748, 858, 520, 236799, 236898, 755, 19542, 7852, 57488, 651, 753, 6839, 565, 1904, 525, 149228, 2762, 7852, 667, 212616, 568, 2267, 1958, 236756, 7896, 7678, 236928, 4267, 16291, 236829, 108, 818, 28700, 19293, 3204, 506, 20412, 165996, 7199, 565, 1904, 525, 149228, 2762, 7852, 667, 212616, 147698, 568, 122707, 25008, 529, 7086, 528, 16530, 769, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 2426, 573, 1032, 2653, 114331, 19293, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 1586, 496, 3530, 16530, 26497, 5410, 684, 669, 971, 129276, 2279, 600, 564, 6827, 13013, 4578, 236761, 669, 1186, 31866, 564, 5630, 659, 756, 13825, 26607, 529, 3826, 7085, 5315, 236764, 3927, 56852, 18706, 573, 35091, 21250, 756, 13825, 26607, 529, 3826, 236789, 1699, 3822, 236779, 3250, 236761, 1637, 600, 7623, 2536, 236764, 1769, 506, 1171, 27355, 236789, 236751, 3822, 532, 3927, 8582, 573, 669, 971, 129276, 2279, 19575, 529, 625, 236761, 1637, 56852, 18706, 815, 5017, 236764, 2056, 19460, 8582, 5467, 607, 756, 818, 971, 129276, 2279, 19519, 26607, 529, 3826, 236789, 618, 506, 30136, 236761, 38004, 1595, 236764, 564, 1461, 506, 1626, 8582, 2536, 28700, 1131, 16530, 1699, 506, 13959, 5904, 236764, 1164, 528, 1624, 506, 5410, 815, 496, 114331, 3822, 564, 236789, 236757, 75228, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 122707, 25008, 529, 7086, 827, 623, 6386, 1083, 623, 236788, 87911, 708, 236789, 54258, 827, 623, 8721, 1083, 11058, 10936, 83856, 38414, 29887, 506, 38306, 204076, 623, 236776, 59155, 529, 7764, 563, 45048, 10498, 623, 24452, 70914, 5268, 1298, 137065, 38258, 204076, 623, 818, 12440, 34123, 506, 44185, 1677, 3442, 62192, 623, 547, 1083, 623, 4885, 3158, 236779, 236828, 236832, 236812, 236810, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 40232, 1083, 78493, 3250, 1083, 623, 818, 971, 129276, 2279, 753, 62039, 25008, 529, 7086, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 28180, 236770, 236778, 236800, 827, 623, 12027, 1083, 623, 81314, 24068, 169197, 827, 623, 32071, 236779, 502, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236800, 236772, 236770, 236832, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 13084, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 1263, 3714, 3250, 1083, 623, 818, 971, 129276, 2279, 15097, 528, 27071, 753, 62039, 25008, 529, 7086, 568, 2730, 6102, 22730, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 2063, 236812, 236810, 236825, 827, 623, 12027, 1083, 623, 177515, 1505, 156457, 827, 623, 32071, 236779, 502, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236828, 236772, 236771, 236810, 236774, 236778, 236778, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 13084, 1083, 236743, 236828, 236819, 236771, 236771, 236771, 104960, 623, 2305, 236779, 3906, 1083, 3714, 3278, 1083, 623, 818, 971, 129276, 2279, 19519, 26607, 529, 3826, 827, 623, 13647, 1083, 623, 27211, 4184, 827, 623, 19859, 1083, 623, 501, 127096, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132773, 236779, 1005, 1083, 623, 7199, 12626, 1132, 6734, 236785, 236756, 236771, 236771, 524, 753, 6839, 565, 1904, 525, 149228, 2762, 7852, 667, 212616, 236785, 236749, 7199, 12626, 1132, 6734, 236785, 236756, 236771, 236771, 524, 2199, 236748, 858, 520, 236799, 236785, 236756, 236771, 236771, 236744, 236770, 755, 621, 236756, 236771, 236771, 236755, 236770, 7852, 57488, 651, 753, 6839, 565, 1904, 525, 149228, 2762, 7852, 667, 212616, 568, 2267, 1958, 236756, 7896, 7678, 236785, 236756, 236771, 236771, 524, 4267, 16291, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 1765, 2269, 822, 11808, 236787, 108, 236770, 236761, 5213, 10541, 13184, 18706, 11130, 66515, 107, 139, 236772, 180538, 236787, 165996, 122707, 25008, 529, 7086, 147698, 684, 123406, 708, 236789, 54258, 107, 139, 236772, 1787, 97008, 236787, 138, 107, 141, 71510, 10936, 83856, 38414, 29887, 506, 38306, 236764, 138, 107, 141, 236776, 59155, 529, 7764, 563, 45048, 24002, 236829, 108, 236778, 236761, 5213, 53824, 17647, 573, 669, 971, 129276, 2279, 66515, 107, 139, 236772, 5213, 236840, 10485, 236743, 236770, 236842, 1018, 138, 107, 141, 7396, 236787, 165996, 818, 971, 129276, 2279, 753, 62039, 25008, 529, 7086, 147698, 138, 107, 141, 18842, 236787, 16530, 24068, 169197, 568, 236778, 236771, 236778, 236778, 236768, 138, 107, 141, 236840, 19242, 1590, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 28180, 236770, 236778, 236800, 236768, 107, 139, 107, 139, 236772, 5213, 236840, 10485, 236743, 236778, 236842, 1018, 138, 107, 141, 7396, 236787, 165996, 818, 971, 129276, 2279, 15097, 528, 27071, 753, 62039, 25008, 529, 7086, 568, 2730, 6102, 16291, 236829, 138, 107, 141, 18842, 236787, 27071, 1505, 156457, 568, 236778, 236771, 236770, 236819, 236768, 138, 107, 141, 236840, 19242, 1590, 5457, 2574, 1411, 2769, 236761, 19934, 236761, 854, 236786, 11636, 236881, 236766, 236784, 2063, 236812, 236810, 236825, 236768, 108, 236800, 236761, 5213, 81314, 200339, 1018, 568, 15218, 214085, 236772, 236754, 3390, 13447, 236772, 36399, 1473, 138, 107, 139, 236772, 165996, 7199, 12626, 1132, 6734, 236928, 753, 6839, 565, 1904, 525, 149228, 2762, 7852, 667, 212616, 147698, 138, 107, 139, 236772, 165996, 7199, 12626, 1132, 6734, 236928, 2199, 236748, 858, 520, 236799, 236898, 755, 19542, 7852, 57488, 651, 753, 6839, 565, 1904, 525, 149228, 2762, 7852, 667, 212616, 568, 2267, 1958, 236756, 7896, 7678, 236928, 4267, 16291, 236829, 108, 818, 28700, 19293, 3204, 506, 20412, 165996, 7199, 565, 1904, 525, 149228, 2762, 7852, 667, 212616, 147698, 568, 122707, 25008, 529, 7086, 528, 16530, 769, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 2426, 573, 1032, 2653, 114331, 19293, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 1385, 495, 236789, 531, 4351, 872, 1070, 37358, 3863, 573, 496, 2401, 8001, 6367, 564, 236789, 236757, 2016, 495, 236789, 237028, 27531, 1070, 3489, 607, 4188, 5853, 236743, 236832, 236828, 236819, 236812, 236810, 236825, 236761, 3199, 611, 8091, 872, 506, 2587, 55455, 580, 600, 80444, 35400, 236881, 19704, 531, 2426, 506, 11261, 3325, 532, 20511, 3004, 1680, 564, 8274, 236761, 1452, 1651, 611, 236789, 500, 657, 625, 236764, 7463, 3600, 496, 66756, 20925, 573, 32049, 3863, 768, 672, 886, 236789, 236751, 711, 872, 531, 204735, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1582, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236812, 236810, 236825, 236764, 623, 1201, 1083, 623, 107332, 64026, 43835, 753, 236743, 236770, 236781, 236825, 236781, 236828, 75334, 623, 7777, 1083, 623, 13238, 236772, 15276, 16425, 2604, 80444, 19059, 7436, 573, 11690, 5699, 236761, 2261, 1954, 182742, 532, 17538, 607, 3756, 24911, 236761, 10829, 524, 7080, 580, 784, 14581, 10498, 623, 9707, 1083, 236743, 236770, 236828, 236761, 236819, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 827, 623, 14973, 236779, 22111, 1083, 236743, 236778, 236812, 236832, 236764, 623, 99208, 236779, 15276, 1083, 623, 110690, 11261, 3759, 607, 11893, 55717, 827, 623, 1289, 199316, 236779, 3955, 1083, 623, 236828, 236761, 236778, 236908, 568, 63914, 2644, 573, 154213, 22730, 623, 63265, 1083, 3714, 3119, 236779, 40254, 1083, 236743, 236819, 236825, 236764, 623, 2690, 236779, 40254, 1083, 236743, 236825, 236764, 623, 86542, 236779, 40254, 1083, 236743, 236770, 1263, 623, 62856, 1083, 3714, 1201, 1083, 623, 222680, 62300, 102496, 38476, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 7125, 1083, 623, 160766, 236764, 8005, 827, 623, 84339, 236779, 8194, 1083, 11058, 15370, 2263, 35312, 827, 623, 107017, 5462, 12631, 152254, 623, 5930, 236779, 30374, 1083, 3714, 47505, 1083, 2416, 236764, 623, 236751, 25185, 2579, 236779, 48828, 524, 1083, 1847, 236764, 623, 177129, 1083, 623, 236800, 236771, 236772, 1496, 17681, 15246, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 4889, 573, 506, 80444, 35400, 568, 2912, 997, 236832, 236828, 236819, 236812, 236810, 236825, 1473, 138, 107, 1018, 221098, 19779, 53121, 78139, 11261, 3759, 607, 11893, 55717, 138, 107, 1018, 18557, 199316, 16748, 53121, 236743, 236828, 236761, 236778, 236908, 568, 63914, 573, 154213, 236768, 138, 107, 1018, 3503, 25772, 53121, 33474, 2579, 45869, 236764, 7080, 9009, 236764, 532, 236743, 236800, 236771, 236772, 1496, 24227, 236761, 138, 108, 101309, 5213, 222680, 62300, 102496, 38476, 1018, 568, 236812, 236761, 236828, 240281, 236764, 30128, 236764, 8005, 236768, 5469, 672, 80444, 236761, 1637, 611, 236789, 236753, 5278, 32049, 5205, 236764, 564, 5840, 16329, 607, 5213, 30392, 1898, 10013, 25421, 1018, 653, 5213, 236798, 2286, 44094, 3287, 1018, 573, 66756, 32049, 3835, 236761, 21284, 611, 1133, 10686, 607, 4658, 1663, 236881, 106, 107, 105, 2364, 107, 2046, 192716, 506, 80444, 4889, 237028, 222680, 62300, 236858, 236751, 55455, 1385, 5139, 236761, 4224, 236764, 1531, 236858, 236751, 3137, 1131, 600, 32049, 236761, 564, 1765, 614, 4188, 5853, 236743, 236770, 236771, 236778, 236819, 236800, 236828, 580, 10373, 1898, 236858, 236751, 3432, 532, 236743, 236812, 236812, 236810, 236810, 236825, 236825, 657, 43835, 44094, 3287, 236761, 28344, 611, 8091, 506, 1638, 11261, 236786, 1289, 199316, 1262, 573, 1800, 236881, 6542, 236764, 2426, 768, 3477, 20925, 815, 496, 24227, 653, 24488, 5382, 236751, 236761, 19704, 672, 8001, 6367, 531, 1774, 236764, 532, 506, 80444, 236858, 236751, 236743, 236800, 236771, 236772, 1496, 24227, 7093, 506, 3029, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1582, 236779, 547, 1083, 236743, 236770, 236771, 236778, 236819, 236800, 236828, 236764, 623, 5930, 236779, 1201, 1083, 623, 107332, 7286, 20690, 43835, 827, 623, 1289, 199316, 236779, 3955, 1083, 623, 236828, 236761, 236778, 70887, 623, 99208, 236779, 2084, 1083, 623, 110690, 827, 623, 177129, 236779, 23735, 1083, 623, 236770, 1051, 827, 623, 18289, 8112, 1083, 11058, 236811, 7427, 50618, 827, 623, 30292, 236799, 25348, 236743, 236778, 50457, 23941, 14255, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 827, 623, 9707, 236779, 721, 236779, 3147, 236779, 7569, 1083, 6610, 236828, 236761, 236819, 236810, 25938, 108, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 1582, 236779, 547, 1083, 236743, 236812, 236812, 236810, 236810, 236825, 236825, 236764, 107, 138, 236775, 5930, 236779, 1201, 1083, 623, 107332, 7286, 20690, 43835, 827, 107, 138, 236775, 1289, 199316, 236779, 3955, 1083, 623, 236770, 236778, 70887, 107, 138, 236775, 99208, 236779, 2084, 1083, 623, 110690, 827, 107, 138, 236775, 46589, 236779, 4818, 1083, 623, 902, 13827, 827, 107, 138, 236775, 62856, 1083, 623, 236798, 2286, 44094, 3287, 827, 107, 138, 236775, 177129, 236779, 23735, 1083, 623, 236812, 236810, 2668, 827, 107, 138, 236775, 236751, 152405, 236779, 18289, 8112, 1083, 11058, 236811, 7427, 827, 623, 236773, 8537, 14255, 107, 138, 236775, 9707, 236779, 721, 236779, 3147, 236779, 7569, 1083, 236743, 236828, 236761, 236819, 236819, 236764, 107, 138, 236775, 63265, 1083, 623, 236812, 236786, 236812, 1123, 236743, 236825, 8455, 1123, 236743, 236828, 25080, 236775, 107, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 506, 32049, 3835, 236787, 108, 1018, 30392, 1898, 568, 2912, 236743, 236770, 236771, 236778, 236819, 236800, 236828, 62902, 138, 107, 236772, 5213, 18557, 199316, 16748, 53121, 236743, 236828, 236761, 236778, 236908, 568, 63914, 573, 154213, 236768, 138, 107, 236772, 5213, 221098, 53121, 78139, 138, 107, 236772, 5213, 214721, 53121, 236743, 236770, 1051, 568, 716, 3641, 236751, 80444, 236858, 236751, 236743, 236800, 236771, 236772, 1496, 15246, 236768, 138, 107, 236772, 5213, 36018, 8112, 53121, 187116, 50618, 568, 199283, 59691, 779, 203830, 25348, 236743, 236778, 50457, 23941, 568, 976, 17446, 236768, 138, 107, 236772, 5213, 11280, 53121, 609, 236828, 236761, 236819, 236810, 236786, 3147, 3998, 138, 108, 1018, 236798, 2286, 44094, 3287, 568, 2912, 236743, 236812, 236812, 236810, 236810, 236825, 236825, 62902, 138, 107, 236772, 5213, 18557, 199316, 16748, 53121, 236743, 236770, 236778, 236908, 568, 174991, 1494, 236764, 1149, 4652, 182742, 236768, 138, 107, 236772, 5213, 221098, 53121, 78139, 138, 107, 236772, 5213, 214721, 53121, 236743, 236812, 236810, 2668, 138, 107, 236772, 5213, 36018, 8112, 53121, 187116, 900, 555, 8537, 568, 27413, 24488, 8443, 236768, 138, 107, 236772, 5213, 11280, 53121, 609, 236828, 236761, 236819, 236819, 236786, 3147, 3998, 568, 236812, 236786, 236812, 1123, 236743, 236825, 236775, 1123, 236743, 236828, 236789, 13376, 236768, 138, 108, 1018, 211199, 53121, 138, 107, 30392, 1898, 236858, 236751, 32049, 563, 12132, 573, 55840, 568, 236770, 236772, 3704, 24227, 236764, 7436, 20511, 236768, 532, 24488, 568, 30292, 236799, 14143, 769, 43835, 44094, 3287, 236858, 5086, 815, 496, 8427, 3715, 20511, 3004, 568, 236770, 236778, 236908, 7728, 236761, 236743, 236828, 236761, 236778, 28585, 837, 1451, 4208, 39601, 236761, 10508, 659, 66756, 34616, 236764, 840, 10373, 1898, 14453, 855, 573, 822, 27823, 8001, 6367, 2203, 236761, 106, 107, 105, 2364, 107, 11947, 531, 1281, 10373, 1898, 236858, 236751, 24227, 13526, 625, 573, 496, 1051, 236761, 2900, 1003, 506, 13376, 573, 4188, 236743, 236770, 236771, 236778, 236819, 236800, 236828, 236881, 19704, 531, 9128, 625, 236858, 236751, 236743, 236812, 236786, 236812, 1123, 236743, 236825, 236919, 1123, 236743, 236828, 236858, 1133, 506, 43835, 44094, 3287, 886, 237028, 13246, 236858, 236745, 1461, 531, 974, 17539, 607, 11049, 11550, 573, 506, 8001, 6367, 19509, 236761, 106, 107, 105, 4368, 107, 818, 10373, 1898, 4188, 997, 236770, 236771, 236778, 236819, 236800, 236828, 1698, 4889, 52236, 6517, 5213, 31275, 711, 3204, 3530, 27220, 1938, 1018, 568, 236744, 236761, 236759, 1126, 14733, 236786, 2690, 236786, 3119, 236768, 528, 1061, 5904, 236779, 6275, 236761, 669, 43835, 44094, 3287, 4188, 997, 236812, 236812, 236810, 236810, 236825, 236825, 25010, 5022, 5213, 236812, 236786, 236812, 1123, 236743, 236825, 236775, 1123, 236743, 236828, 236789, 125546, 840, 10373, 1898, 236858, 236751, 55455, 1186, 4928, 21212, 532, 3325, 13963, 236761, 138, 108, 2542, 18510, 236764, 564, 5840, 236787, 138, 107, 236770, 236761, 5213, 30454, 522, 10373, 1898, 236858, 236751, 13376, 5467, 1018, 4323, 910, 4456, 653, 5602, 2509, 568, 25142, 506, 5904, 3782, 236858, 236745, 994, 672, 1262, 769, 138, 107, 236778, 236761, 5213, 30255, 509, 4266, 43835, 44094, 3287, 236858, 236743, 236812, 236812, 236810, 236810, 236825, 236825, 1018, 768, 236743, 236812, 236786, 236812, 1123, 236743, 236825, 236775, 1123, 236743, 236828, 236858, 563, 6749, 236764, 3635, 1061, 236743, 236770, 236778, 236908, 20511, 3004, 563, 2344, 7436, 1082, 10373, 1898, 236858, 236751, 236743, 236828, 236761, 236778, 9525, 138, 108, 38786, 611, 1133, 1601, 17154, 855, 531, 10373, 1898, 573, 65977, 653, 22260, 24277, 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, 236764, 564, 236789, 236757, 1385, 495, 236789, 531, 4351, 872, 1070, 37358, 3863, 573, 496, 2401, 8001, 6367, 564, 236789, 236757, 2016, 495, 236789, 237028, 27531, 1070, 3489, 607, 4188, 5853, 236743, 236832, 236828, 236819, 236812, 236810, 236825, 236761, 3199, 611, 8091, 872, 506, 2587, 55455, 580, 600, 80444, 35400, 236881, 19704, 531, 2426, 506, 11261, 3325, 532, 20511, 3004, 1680, 564, 8274, 236761, 1452, 1651, 611, 236789, 500, 657, 625, 236764, 7463, 3600, 496, 66756, 20925, 573, 32049, 3863, 768, 672, 886, 236789, 236751, 711, 872, 531, 204735, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1582, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236812, 236810, 236825, 236764, 623, 1201, 1083, 623, 107332, 64026, 43835, 753, 236743, 236770, 236781, 236825, 236781, 236828, 75334, 623, 7777, 1083, 623, 13238, 236772, 15276, 16425, 2604, 80444, 19059, 7436, 573, 11690, 5699, 236761, 2261, 1954, 182742, 532, 17538, 607, 3756, 24911, 236761, 10829, 524, 7080, 580, 784, 14581, 10498, 623, 9707, 1083, 236743, 236770, 236828, 236761, 236819, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 827, 623, 14973, 236779, 22111, 1083, 236743, 236778, 236812, 236832, 236764, 623, 99208, 236779, 15276, 1083, 623, 110690, 11261, 3759, 607, 11893, 55717, 827, 623, 1289, 199316, 236779, 3955, 1083, 623, 236828, 236761, 236778, 236908, 568, 63914, 2644, 573, 154213, 22730, 623, 63265, 1083, 3714, 3119, 236779, 40254, 1083, 236743, 236819, 236825, 236764, 623, 2690, 236779, 40254, 1083, 236743, 236825, 236764, 623, 86542, 236779, 40254, 1083, 236743, 236770, 1263, 623, 62856, 1083, 3714, 1201, 1083, 623, 222680, 62300, 102496, 38476, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 7125, 1083, 623, 160766, 236764, 8005, 827, 623, 84339, 236779, 8194, 1083, 11058, 15370, 2263, 35312, 827, 623, 107017, 5462, 12631, 152254, 623, 5930, 236779, 30374, 1083, 3714, 47505, 1083, 2416, 236764, 623, 236751, 25185, 2579, 236779, 48828, 524, 1083, 1847, 236764, 623, 177129, 1083, 623, 236800, 236771, 236772, 1496, 17681, 15246, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 4889, 573, 506, 80444, 35400, 568, 2912, 997, 236832, 236828, 236819, 236812, 236810, 236825, 1473, 138, 107, 1018, 221098, 19779, 53121, 78139, 11261, 3759, 607, 11893, 55717, 138, 107, 1018, 18557, 199316, 16748, 53121, 236743, 236828, 236761, 236778, 236908, 568, 63914, 573, 154213, 236768, 138, 107, 1018, 3503, 25772, 53121, 33474, 2579, 45869, 236764, 7080, 9009, 236764, 532, 236743, 236800, 236771, 236772, 1496, 24227, 236761, 138, 108, 101309, 5213, 222680, 62300, 102496, 38476, 1018, 568, 236812, 236761, 236828, 240281, 236764, 30128, 236764, 8005, 236768, 5469, 672, 80444, 236761, 1637, 611, 236789, 236753, 5278, 32049, 5205, 236764, 564, 5840, 16329, 607, 5213, 30392, 1898, 10013, 25421, 1018, 653, 5213, 236798, 2286, 44094, 3287, 1018, 573, 66756, 32049, 3835, 236761, 21284, 611, 1133, 10686, 607, 4658, 1663, 236881, 106, 107, 105, 2364, 107, 2046, 192716, 506, 80444, 4889, 237028, 222680, 62300, 236858, 236751, 55455, 1385, 5139, 236761, 4224, 236764, 1531, 236858, 236751, 3137, 1131, 600, 32049, 236761, 564, 1765, 614, 4188, 5853, 236743, 236770, 236771, 236778, 236819, 236800, 236828, 580, 10373, 1898, 236858, 236751, 3432, 532, 236743, 236812, 236812, 236810, 236810, 236825, 236825, 657, 43835, 44094, 3287, 236761, 28344, 611, 8091, 506, 1638, 11261, 236786, 1289, 199316, 1262, 573, 1800, 236881, 6542, 236764, 2426, 768, 3477, 20925, 815, 496, 24227, 653, 24488, 5382, 236751, 236761, 19704, 672, 8001, 6367, 531, 1774, 236764, 532, 506, 80444, 236858, 236751, 236743, 236800, 236771, 236772, 1496, 24227, 7093, 506, 3029, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1582, 236779, 547, 1083, 236743, 236770, 236771, 236778, 236819, 236800, 236828, 236764, 623, 5930, 236779, 1201, 1083, 623, 107332, 7286, 20690, 43835, 827, 623, 1289, 199316, 236779, 3955, 1083, 623, 236828, 236761, 236778, 70887, 623, 99208, 236779, 2084, 1083, 623, 110690, 827, 623, 177129, 236779, 23735, 1083, 623, 236770, 1051, 827, 623, 18289, 8112, 1083, 11058, 236811, 7427, 50618, 827, 623, 30292, 236799, 25348, 236743, 236778, 50457, 23941, 14255, 623, 46589, 236779, 4818, 1083, 623, 902, 13827, 827, 623, 9707, 236779, 721, 236779, 3147, 236779, 7569, 1083, 6610, 236828, 236761, 236819, 236810, 25938, 108, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 1582, 236779, 547, 1083, 236743, 236812, 236812, 236810, 236810, 236825, 236825, 236764, 107, 138, 236775, 5930, 236779, 1201, 1083, 623, 107332, 7286, 20690, 43835, 827, 107, 138, 236775, 1289, 199316, 236779, 3955, 1083, 623, 236770, 236778, 70887, 107, 138, 236775, 99208, 236779, 2084, 1083, 623, 110690, 827, 107, 138, 236775, 46589, 236779, 4818, 1083, 623, 902, 13827, 827, 107, 138, 236775, 62856, 1083, 623, 236798, 2286, 44094, 3287, 827, 107, 138, 236775, 177129, 236779, 23735, 1083, 623, 236812, 236810, 2668, 827, 107, 138, 236775, 236751, 152405, 236779, 18289, 8112, 1083, 11058, 236811, 7427, 827, 623, 236773, 8537, 14255, 107, 138, 236775, 9707, 236779, 721, 236779, 3147, 236779, 7569, 1083, 236743, 236828, 236761, 236819, 236819, 236764, 107, 138, 236775, 63265, 1083, 623, 236812, 236786, 236812, 1123, 236743, 236825, 8455, 1123, 236743, 236828, 25080, 236775, 107, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 506, 32049, 3835, 236787, 108, 1018, 30392, 1898, 568, 2912, 236743, 236770, 236771, 236778, 236819, 236800, 236828, 62902, 138, 107, 236772, 5213, 18557, 199316, 16748, 53121, 236743, 236828, 236761, 236778, 236908, 568, 63914, 573, 154213, 236768, 138, 107, 236772, 5213, 221098, 53121, 78139, 138, 107, 236772, 5213, 214721, 53121, 236743, 236770, 1051, 568, 716, 3641, 236751, 80444, 236858, 236751, 236743, 236800, 236771, 236772, 1496, 15246, 236768, 138, 107, 236772, 5213, 36018, 8112, 53121, 187116, 50618, 568, 199283, 59691, 779, 203830, 25348, 236743, 236778, 50457, 23941, 568, 976, 17446, 236768, 138, 107, 236772, 5213, 11280, 53121, 609, 236828, 236761, 236819, 236810, 236786, 3147, 3998, 138, 108, 1018, 236798, 2286, 44094, 3287, 568, 2912, 236743, 236812, 236812, 236810, 236810, 236825, 236825, 62902, 138, 107, 236772, 5213, 18557, 199316, 16748, 53121, 236743, 236770, 236778, 236908, 568, 174991, 1494, 236764, 1149, 4652, 182742, 236768, 138, 107, 236772, 5213, 221098, 53121, 78139, 138, 107, 236772, 5213, 214721, 53121, 236743, 236812, 236810, 2668, 138, 107, 236772, 5213, 36018, 8112, 53121, 187116, 900, 555, 8537, 568, 27413, 24488, 8443, 236768, 138, 107, 236772, 5213, 11280, 53121, 609, 236828, 236761, 236819, 236819, 236786, 3147, 3998, 568, 236812, 236786, 236812, 1123, 236743, 236825, 236775, 1123, 236743, 236828, 236789, 13376, 236768, 138, 108, 1018, 211199, 53121, 138, 107, 30392, 1898, 236858, 236751, 32049, 563, 12132, 573, 55840, 568, 236770, 236772, 3704, 24227, 236764, 7436, 20511, 236768, 532, 24488, 568, 30292, 236799, 14143, 769, 43835, 44094, 3287, 236858, 5086, 815, 496, 8427, 3715, 20511, 3004, 568, 236770, 236778, 236908, 7728, 236761, 236743, 236828, 236761, 236778, 28585, 837, 1451, 4208, 39601, 236761, 10508, 659, 66756, 34616, 236764, 840, 10373, 1898, 14453, 855, 573, 822, 27823, 8001, 6367, 2203, 236761, 106, 107, 105, 2364, 107, 11947, 531, 1281, 10373, 1898, 236858, 236751, 24227, 13526, 625, 573, 496, 1051, 236761, 2900, 1003, 506, 13376, 573, 4188, 236743, 236770, 236771, 236778, 236819, 236800, 236828, 236881, 19704, 531, 9128, 625, 236858, 236751, 236743, 236812, 236786, 236812, 1123, 236743, 236825, 236919, 1123, 236743, 236828, 236858, 1133, 506, 43835, 44094, 3287, 886, 237028, 13246, 236858, 236745, 1461, 531, 974, 17539, 607, 11049, 11550, 573, 506, 8001, 6367, 19509, 236761, 106, 107, 105, 4368, 107, 818, 10373, 1898, 4188, 997, 236770, 236771, 236778, 236819, 236800, 236828, 1698, 4889, 52236, 6517, 5213, 31275, 711, 3204, 3530, 27220, 1938, 1018, 568, 236744, 236761, 236759, 1126, 14733, 236786, 2690, 236786, 3119, 236768, 528, 1061, 5904, 236779, 6275, 236761, 669, 43835, 44094, 3287, 4188, 997, 236812, 236812, 236810, 236810, 236825, 236825, 25010, 5022, 5213, 236812, 236786, 236812, 1123, 236743, 236825, 236775, 1123, 236743, 236828, 236789, 125546, 840, 10373, 1898, 236858, 236751, 55455, 1186, 4928, 21212, 532, 3325, 13963, 236761, 138, 108, 2542, 18510, 236764, 564, 5840, 236787, 138, 107, 236770, 236761, 5213, 30454, 522, 10373, 1898, 236858, 236751, 13376, 5467, 1018, 4323, 910, 4456, 653, 5602, 2509, 568, 25142, 506, 5904, 3782, 236858, 236745, 994, 672, 1262, 769, 138, 107, 236778, 236761, 5213, 30255, 509, 4266, 43835, 44094, 3287, 236858, 236743, 236812, 236812, 236810, 236810, 236825, 236825, 1018, 768, 236743, 236812, 236786, 236812, 1123, 236743, 236825, 236775, 1123, 236743, 236828, 236858, 563, 6749, 236764, 3635, 1061, 236743, 236770, 236778, 236908, 20511, 3004, 563, 2344, 7436, 1082, 10373, 1898, 236858, 236751, 236743, 236828, 236761, 236778, 9525, 138, 108, 38786, 611, 1133, 1601, 17154, 855, 531, 10373, 1898, 573, 65977, 653, 22260, 24277, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 22293, 496, 3905, 2290, 3446, 2148, 9735, 532, 1461, 531, 62991, 13192, 236761, 3199, 611, 8729, 496, 158858, 44426, 3393, 573, 496, 609, 236770, 236810, 7234, 11317, 236881, 669, 39971, 1463, 1374, 577, 623, 128197, 10373, 9064, 88691, 236775, 532, 3204, 496, 5577, 5853, 529, 623, 6459, 36875, 236778, 236771, 236778, 236800, 3056, 46745, 768, 611, 740, 3600, 1217, 531, 4087, 13192, 573, 1607, 4749, 2180, 24473, 194317, 1546, 12562, 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, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236786, 6459, 36875, 236778, 236771, 236778, 236800, 827, 623, 19031, 236779, 3456, 1083, 3714, 13304, 1083, 623, 236770, 236810, 236761, 236771, 236771, 827, 623, 9346, 2167, 1083, 623, 128197, 10373, 9064, 88691, 827, 623, 36736, 1904, 1083, 623, 6459, 36875, 236778, 236771, 236778, 236800, 827, 623, 236766, 4423, 1083, 623, 20031, 9346, 236940, 15433, 827, 623, 4424, 547, 1083, 623, 6459, 36875, 236778, 236771, 236778, 236800, 23179, 623, 500, 105611, 236779, 45581, 1083, 623, 10896, 26296, 547, 532, 4500, 1904, 573, 7548, 16074, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 158858, 44426, 3393, 573, 23339, 10373, 9064, 88691, 236787, 108, 1018, 38943, 8739, 10739, 53121, 870, 2574, 1411, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236786, 6459, 36875, 236778, 236771, 236778, 236800, 5457, 2574, 1411, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236786, 6459, 36875, 236778, 236771, 236778, 236800, 236768, 108, 1018, 27932, 20303, 141269, 53121, 107, 236772, 27409, 236787, 31386, 236770, 236810, 236761, 236771, 236771, 107, 236772, 80732, 236787, 23339, 10373, 9064, 88691, 107, 236772, 26623, 5853, 236787, 11862, 36875, 236778, 236771, 236778, 236800, 107, 236772, 158858, 5853, 236787, 23986, 9346, 236940, 15433, 108, 1018, 58791, 23130, 53121, 107, 236770, 236761, 6890, 4709, 2165, 4424, 547, 236929, 568, 212647, 27239, 5853, 236768, 900, 2165, 36736, 1904, 236929, 568, 30790, 9661, 236768, 23548, 573, 1607, 4749, 107, 236778, 236761, 64848, 795, 11269, 3204, 1239, 62606, 528, 12562, 28436, 107, 236800, 236761, 5180, 7548, 36112, 740, 5957, 684, 1239, 6137, 573, 14816, 60544, 108, 1018, 17043, 25761, 42272, 53121, 1701, 3402, 4749, 236764, 2619, 861, 44426, 17253, 607, 4709, 5577, 62606, 568, 236744, 236761, 236759, 1126, 11862, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 236764, 11862, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236778, 236768, 531, 4883, 3582, 7548, 75918, 3418, 1607, 2290, 22998, 236761, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1594, 672, 16074, 1458, 573, 1041, 2148, 2460, 236761, 3199, 611, 8729, 2264, 158858, 44426, 3393, 1699, 506, 1638, 39971, 1463, 840, 607, 496, 1607, 5577, 5853, 623, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 51653, 1174, 990, 236764, 3204, 1800, 496, 2165, 4424, 547, 236929, 7689, 529, 623, 13831, 236770, 236778, 236800, 236812, 236810, 236775, 532, 496, 2165, 36736, 1904, 236929, 7689, 529, 623, 197469, 236825, 236832, 236828, 236819, 236775, 528, 506, 44426, 3393, 28436, 236761, 2088, 1093, 1239, 6137, 3196, 528, 496, 5498, 12562, 2072, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 1083, 623, 1516, 236787, 3304, 236786, 5067, 236793, 5521, 236825, 236812, 236764, 236747, 65626, 1579, 236765, 236771, 61655, 1909, 70136, 1536, 13204, 236754, 30722, 236759, 70136, 236935, 34754, 236788, 55879, 78897, 120429, 49256, 623, 31408, 236779, 21052, 1083, 3714, 4424, 547, 1083, 623, 13831, 236770, 236778, 236800, 236812, 236810, 827, 623, 36736, 1904, 1083, 623, 197469, 236825, 236832, 236828, 236819, 827, 623, 2451, 1083, 623, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 827, 623, 9346, 2167, 1083, 623, 128197, 10373, 9064, 88691, 827, 623, 13304, 1083, 623, 236770, 236810, 236761, 236771, 236771, 827, 623, 236766, 4423, 1083, 623, 20031, 9346, 236940, 15433, 827, 623, 33686, 236779, 6160, 1083, 3714, 203701, 1083, 623, 7986, 827, 623, 1145, 3001, 1083, 623, 9503, 236775, 5237, 623, 4818, 1083, 623, 38943, 3393, 7835, 10428, 827, 623, 500, 105611, 236779, 14210, 1083, 623, 4424, 547, 532, 4500, 1904, 795, 3196, 528, 12562, 7248, 573, 39971, 5577, 236761, 10739, 7689, 756, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 236789, 740, 577, 1456, 573, 2460, 16074, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 10448, 158858, 44426, 3393, 607, 16595, 16074, 6137, 236787, 108, 1018, 38943, 8739, 10739, 53121, 870, 2574, 1411, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236786, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 5457, 2574, 1411, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236786, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 236768, 108, 1018, 115851, 36126, 53121, 107, 236772, 27409, 236787, 31386, 236770, 236810, 236761, 236771, 236771, 107, 236772, 80732, 236787, 23339, 10373, 9064, 88691, 107, 236772, 158858, 5853, 236787, 23986, 9346, 236940, 15433, 107, 236772, 5213, 4424, 547, 53121, 27511, 236770, 236778, 236800, 236812, 236810, 568, 212647, 27239, 5853, 236768, 107, 236772, 5213, 36736, 1904, 53121, 78720, 236825, 236832, 236828, 236819, 568, 30790, 9661, 236768, 107, 236772, 5213, 2451, 53121, 11862, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 568, 3500, 64608, 5853, 236768, 108, 1018, 19469, 27239, 8708, 31571, 53121, 107, 2717, 3723, 107, 236782, 107, 138, 236775, 31408, 236779, 547, 1083, 623, 52468, 236797, 236778, 236771, 236778, 236800, 236770, 236771, 236771, 236770, 236770, 236778, 236800, 236812, 236810, 236825, 827, 107, 138, 236775, 74392, 236779, 547, 1083, 623, 128197, 10373, 9064, 88691, 827, 107, 138, 236775, 13304, 1083, 623, 236770, 236810, 236761, 236771, 236771, 827, 107, 138, 236775, 24471, 236779, 4818, 1083, 623, 18084, 827, 107, 138, 236775, 4424, 547, 1083, 623, 13831, 236770, 236778, 236800, 236812, 236810, 827, 107, 138, 236775, 36736, 1904, 1083, 623, 197469, 236825, 236832, 236828, 236819, 827, 107, 138, 236775, 55477, 236779, 2451, 236779, 2882, 1083, 623, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 827, 107, 138, 236775, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 236774, 236770, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 236775, 107, 236783, 107, 2717, 108, 1018, 58791, 96305, 53121, 107, 236770, 236761, 6890, 2165, 4424, 547, 236929, 900, 2165, 36736, 1904, 236929, 8376, 568, 13831, 236770, 236778, 236800, 236812, 236810, 900, 78720, 236825, 236832, 236828, 236819, 236768, 618, 822, 5905, 60544, 13272, 528, 7548, 7248, 107, 236778, 236761, 28293, 16788, 684, 2165, 55477, 236779, 2451, 236779, 2882, 236929, 6791, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 1373, 531, 38036, 13192, 573, 672, 3530, 2460, 107, 236800, 236761, 5180, 7548, 36112, 740, 11269, 2299, 16788, 684, 1239, 6137, 531, 236787, 107, 139, 236772, 8754, 1759, 236772, 2289, 26241, 16074, 107, 139, 236772, 43550, 2460, 236772, 15396, 4867, 7248, 107, 139, 236772, 116909, 4610, 32571, 15852, 4323, 101513, 93877, 108, 2094, 1458, 5862, 611, 531, 9688, 5065, 4749, 19639, 1651, 16977, 3980, 4867, 8735, 2180, 12040, 21144, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 4253, 1156, 39510, 2290, 22998, 657, 1607, 11024, 2148, 2297, 236761, 3199, 611, 8729, 496, 4168, 158858, 44426, 3393, 607, 506, 1638, 39971, 1463, 840, 496, 861, 5577, 5853, 623, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236778, 51653, 1174, 990, 236764, 3204, 1800, 506, 3527, 26296, 547, 236786, 36736, 1904, 8376, 532, 1138, 496, 861, 2165, 7125, 236929, 7689, 1076, 531, 623, 154471, 4585, 9252, 3056, 2088, 1093, 506, 12562, 2072, 45426, 1239, 34818, 4749, 236881, 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, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 8162, 860, 236832, 236828, 236778, 236800, 171023, 827, 623, 19031, 236779, 109982, 1083, 3714, 9346, 2167, 1083, 623, 128197, 10373, 9064, 88691, 827, 623, 13304, 1083, 623, 236770, 236810, 236761, 236771, 236771, 827, 623, 36736, 1904, 1083, 623, 197469, 236825, 236832, 236828, 236819, 827, 623, 236766, 4423, 1083, 623, 20031, 9346, 236940, 15433, 827, 623, 4424, 547, 1083, 623, 13831, 236770, 236778, 236800, 236812, 236810, 827, 623, 6848, 1083, 623, 154471, 4585, 9252, 827, 623, 2451, 1083, 623, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236778, 827, 623, 203701, 1083, 623, 7986, 827, 623, 1145, 3001, 1083, 623, 10671, 23179, 623, 31408, 236779, 23184, 1083, 623, 125596, 4749, 740, 577, 57726, 528, 7248, 1699, 8376, 529, 26296, 547, 568, 74392, 12562, 5853, 779, 5453, 568, 7125, 31744, 779, 532, 4500, 1904, 6137, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 158858, 44426, 3393, 573, 506, 30856, 4585, 9252, 4563, 236787, 108, 1018, 38943, 8739, 10739, 53121, 870, 2574, 1411, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 8162, 860, 236832, 236828, 236778, 236800, 171023, 5457, 2574, 1411, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 8162, 860, 236832, 236828, 236778, 236800, 171023, 236768, 108, 1018, 115851, 36126, 53121, 107, 236772, 27409, 236787, 31386, 236770, 236810, 236761, 236771, 236771, 107, 236772, 80732, 236787, 23339, 10373, 9064, 88691, 107, 236772, 158858, 5853, 236787, 23986, 9346, 236940, 15433, 107, 236772, 5213, 4424, 547, 53121, 27511, 236770, 236778, 236800, 236812, 236810, 568, 212647, 27239, 5853, 236768, 107, 236772, 5213, 36736, 1904, 53121, 78720, 236825, 236832, 236828, 236819, 568, 30790, 9661, 236768, 107, 236772, 5213, 6848, 53121, 30856, 4585, 9252, 568, 6375, 72575, 236768, 107, 236772, 5213, 2451, 53121, 11862, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236778, 568, 3500, 64608, 5853, 236768, 108, 1018, 125596, 12209, 64608, 166977, 53121, 107, 2717, 3723, 107, 715, 30856, 4585, 9252, 27239, 107, 236782, 107, 138, 236775, 5106, 236779, 547, 1083, 623, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236778, 827, 107, 138, 236775, 7125, 1083, 623, 154471, 4585, 9252, 827, 107, 138, 236775, 4424, 547, 1083, 623, 13831, 236770, 236778, 236800, 236812, 236810, 827, 107, 138, 236775, 36736, 1904, 1083, 623, 197469, 236825, 236832, 236828, 236819, 827, 107, 138, 236775, 24471, 236779, 2861, 1083, 236743, 236778, 236800, 236764, 107, 138, 236775, 6725, 236779, 83122, 1083, 236743, 236800, 236812, 236810, 236761, 236771, 236771, 107, 236783, 108, 715, 222995, 12209, 14691, 568, 13517, 21617, 236768, 107, 236782, 107, 138, 236775, 5106, 236779, 547, 1083, 623, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 827, 107, 138, 236775, 7125, 1083, 623, 128197, 10373, 71847, 827, 107, 138, 236775, 4424, 547, 1083, 623, 13831, 236770, 236778, 236800, 236812, 236810, 827, 107, 138, 236775, 36736, 1904, 1083, 623, 197469, 236825, 236832, 236828, 236819, 827, 107, 138, 236775, 24471, 236779, 2861, 1083, 236743, 236770, 236828, 236764, 107, 138, 236775, 6725, 236779, 83122, 1083, 236743, 236778, 236832, 236771, 236761, 236771, 236771, 107, 236783, 107, 2717, 108, 1018, 55806, 9534, 34428, 53121, 107, 236770, 236761, 5213, 6375, 64608, 53121, 669, 2165, 6848, 236929, 7689, 6791, 154471, 4585, 9252, 1373, 8207, 38905, 506, 5663, 4563, 107, 236778, 236761, 5213, 3500, 16811, 522, 53121, 49243, 2165, 2451, 236929, 7689, 6791, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236778, 1373, 16710, 672, 3530, 2460, 5705, 107, 236800, 236761, 5213, 112865, 73310, 53121, 6890, 2165, 4424, 547, 236929, 900, 2165, 36736, 1904, 236929, 900, 2165, 6848, 236929, 8376, 531, 38036, 13192, 573, 236787, 107, 139, 236772, 21617, 236772, 15396, 13761, 107, 139, 236772, 12713, 236772, 7125, 33772, 107, 139, 236772, 18982, 3736, 19455, 107, 236812, 236761, 5213, 3484, 82032, 53121, 7086, 44426, 3393, 44529, 568, 1145, 3001, 236768, 7351, 40878, 23227, 672, 4563, 236789, 236751, 5417, 108, 1018, 17043, 25761, 42272, 53121, 14066, 1699, 48835, 4500, 1904, 2979, 568, 236744, 236761, 236759, 1126, 78720, 236825, 236832, 236819, 236771, 573, 3402, 30856, 4749, 236768, 531, 4883, 54724, 4563, 236772, 15396, 24391, 22249, 1651, 10264, 26296, 547, 9958, 573, 6782, 2460, 3605, 16074, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 22293, 496, 3905, 2290, 3446, 2148, 9735, 532, 1461, 531, 62991, 13192, 236761, 3199, 611, 8729, 496, 158858, 44426, 3393, 573, 496, 609, 236770, 236810, 7234, 11317, 236881, 669, 39971, 1463, 1374, 577, 623, 128197, 10373, 9064, 88691, 236775, 532, 3204, 496, 5577, 5853, 529, 623, 6459, 36875, 236778, 236771, 236778, 236800, 3056, 46745, 768, 611, 740, 3600, 1217, 531, 4087, 13192, 573, 1607, 4749, 2180, 24473, 194317, 1546, 12562, 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, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236786, 6459, 36875, 236778, 236771, 236778, 236800, 827, 623, 19031, 236779, 3456, 1083, 3714, 13304, 1083, 623, 236770, 236810, 236761, 236771, 236771, 827, 623, 9346, 2167, 1083, 623, 128197, 10373, 9064, 88691, 827, 623, 36736, 1904, 1083, 623, 6459, 36875, 236778, 236771, 236778, 236800, 827, 623, 236766, 4423, 1083, 623, 20031, 9346, 236940, 15433, 827, 623, 4424, 547, 1083, 623, 6459, 36875, 236778, 236771, 236778, 236800, 23179, 623, 500, 105611, 236779, 45581, 1083, 623, 10896, 26296, 547, 532, 4500, 1904, 573, 7548, 16074, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 158858, 44426, 3393, 573, 23339, 10373, 9064, 88691, 236787, 108, 1018, 38943, 8739, 10739, 53121, 870, 2574, 1411, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236786, 6459, 36875, 236778, 236771, 236778, 236800, 5457, 2574, 1411, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236786, 6459, 36875, 236778, 236771, 236778, 236800, 236768, 108, 1018, 27932, 20303, 141269, 53121, 107, 236772, 27409, 236787, 31386, 236770, 236810, 236761, 236771, 236771, 107, 236772, 80732, 236787, 23339, 10373, 9064, 88691, 107, 236772, 26623, 5853, 236787, 11862, 36875, 236778, 236771, 236778, 236800, 107, 236772, 158858, 5853, 236787, 23986, 9346, 236940, 15433, 108, 1018, 58791, 23130, 53121, 107, 236770, 236761, 6890, 4709, 2165, 4424, 547, 236929, 568, 212647, 27239, 5853, 236768, 900, 2165, 36736, 1904, 236929, 568, 30790, 9661, 236768, 23548, 573, 1607, 4749, 107, 236778, 236761, 64848, 795, 11269, 3204, 1239, 62606, 528, 12562, 28436, 107, 236800, 236761, 5180, 7548, 36112, 740, 5957, 684, 1239, 6137, 573, 14816, 60544, 108, 1018, 17043, 25761, 42272, 53121, 1701, 3402, 4749, 236764, 2619, 861, 44426, 17253, 607, 4709, 5577, 62606, 568, 236744, 236761, 236759, 1126, 11862, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 236764, 11862, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236778, 236768, 531, 4883, 3582, 7548, 75918, 3418, 1607, 2290, 22998, 236761, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1594, 672, 16074, 1458, 573, 1041, 2148, 2460, 236761, 3199, 611, 8729, 2264, 158858, 44426, 3393, 1699, 506, 1638, 39971, 1463, 840, 607, 496, 1607, 5577, 5853, 623, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 51653, 1174, 990, 236764, 3204, 1800, 496, 2165, 4424, 547, 236929, 7689, 529, 623, 13831, 236770, 236778, 236800, 236812, 236810, 236775, 532, 496, 2165, 36736, 1904, 236929, 7689, 529, 623, 197469, 236825, 236832, 236828, 236819, 236775, 528, 506, 44426, 3393, 28436, 236761, 2088, 1093, 1239, 6137, 3196, 528, 496, 5498, 12562, 2072, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 1083, 623, 1516, 236787, 3304, 236786, 5067, 236793, 5521, 236825, 236812, 236764, 236747, 65626, 1579, 236765, 236771, 61655, 1909, 70136, 1536, 13204, 236754, 30722, 236759, 70136, 236935, 34754, 236788, 55879, 78897, 120429, 49256, 623, 31408, 236779, 21052, 1083, 3714, 4424, 547, 1083, 623, 13831, 236770, 236778, 236800, 236812, 236810, 827, 623, 36736, 1904, 1083, 623, 197469, 236825, 236832, 236828, 236819, 827, 623, 2451, 1083, 623, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 827, 623, 9346, 2167, 1083, 623, 128197, 10373, 9064, 88691, 827, 623, 13304, 1083, 623, 236770, 236810, 236761, 236771, 236771, 827, 623, 236766, 4423, 1083, 623, 20031, 9346, 236940, 15433, 827, 623, 33686, 236779, 6160, 1083, 3714, 203701, 1083, 623, 7986, 827, 623, 1145, 3001, 1083, 623, 9503, 236775, 5237, 623, 4818, 1083, 623, 38943, 3393, 7835, 10428, 827, 623, 500, 105611, 236779, 14210, 1083, 623, 4424, 547, 532, 4500, 1904, 795, 3196, 528, 12562, 7248, 573, 39971, 5577, 236761, 10739, 7689, 756, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 236789, 740, 577, 1456, 573, 2460, 16074, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 10448, 158858, 44426, 3393, 607, 16595, 16074, 6137, 236787, 108, 1018, 38943, 8739, 10739, 53121, 870, 2574, 1411, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236786, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 5457, 2574, 1411, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236786, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 236768, 108, 1018, 115851, 36126, 53121, 107, 236772, 27409, 236787, 31386, 236770, 236810, 236761, 236771, 236771, 107, 236772, 80732, 236787, 23339, 10373, 9064, 88691, 107, 236772, 158858, 5853, 236787, 23986, 9346, 236940, 15433, 107, 236772, 5213, 4424, 547, 53121, 27511, 236770, 236778, 236800, 236812, 236810, 568, 212647, 27239, 5853, 236768, 107, 236772, 5213, 36736, 1904, 53121, 78720, 236825, 236832, 236828, 236819, 568, 30790, 9661, 236768, 107, 236772, 5213, 2451, 53121, 11862, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 568, 3500, 64608, 5853, 236768, 108, 1018, 19469, 27239, 8708, 31571, 53121, 107, 2717, 3723, 107, 236782, 107, 138, 236775, 31408, 236779, 547, 1083, 623, 52468, 236797, 236778, 236771, 236778, 236800, 236770, 236771, 236771, 236770, 236770, 236778, 236800, 236812, 236810, 236825, 827, 107, 138, 236775, 74392, 236779, 547, 1083, 623, 128197, 10373, 9064, 88691, 827, 107, 138, 236775, 13304, 1083, 623, 236770, 236810, 236761, 236771, 236771, 827, 107, 138, 236775, 24471, 236779, 4818, 1083, 623, 18084, 827, 107, 138, 236775, 4424, 547, 1083, 623, 13831, 236770, 236778, 236800, 236812, 236810, 827, 107, 138, 236775, 36736, 1904, 1083, 623, 197469, 236825, 236832, 236828, 236819, 827, 107, 138, 236775, 55477, 236779, 2451, 236779, 2882, 1083, 623, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 827, 107, 138, 236775, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 236774, 236770, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 236775, 107, 236783, 107, 2717, 108, 1018, 58791, 96305, 53121, 107, 236770, 236761, 6890, 2165, 4424, 547, 236929, 900, 2165, 36736, 1904, 236929, 8376, 568, 13831, 236770, 236778, 236800, 236812, 236810, 900, 78720, 236825, 236832, 236828, 236819, 236768, 618, 822, 5905, 60544, 13272, 528, 7548, 7248, 107, 236778, 236761, 28293, 16788, 684, 2165, 55477, 236779, 2451, 236779, 2882, 236929, 6791, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 1373, 531, 38036, 13192, 573, 672, 3530, 2460, 107, 236800, 236761, 5180, 7548, 36112, 740, 11269, 2299, 16788, 684, 1239, 6137, 531, 236787, 107, 139, 236772, 8754, 1759, 236772, 2289, 26241, 16074, 107, 139, 236772, 43550, 2460, 236772, 15396, 4867, 7248, 107, 139, 236772, 116909, 4610, 32571, 15852, 4323, 101513, 93877, 108, 2094, 1458, 5862, 611, 531, 9688, 5065, 4749, 19639, 1651, 16977, 3980, 4867, 8735, 2180, 12040, 21144, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 4253, 1156, 39510, 2290, 22998, 657, 1607, 11024, 2148, 2297, 236761, 3199, 611, 8729, 496, 4168, 158858, 44426, 3393, 607, 506, 1638, 39971, 1463, 840, 496, 861, 5577, 5853, 623, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236778, 51653, 1174, 990, 236764, 3204, 1800, 506, 3527, 26296, 547, 236786, 36736, 1904, 8376, 532, 1138, 496, 861, 2165, 7125, 236929, 7689, 1076, 531, 623, 154471, 4585, 9252, 3056, 2088, 1093, 506, 12562, 2072, 45426, 1239, 34818, 4749, 236881, 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, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 8162, 860, 236832, 236828, 236778, 236800, 171023, 827, 623, 19031, 236779, 109982, 1083, 3714, 9346, 2167, 1083, 623, 128197, 10373, 9064, 88691, 827, 623, 13304, 1083, 623, 236770, 236810, 236761, 236771, 236771, 827, 623, 36736, 1904, 1083, 623, 197469, 236825, 236832, 236828, 236819, 827, 623, 236766, 4423, 1083, 623, 20031, 9346, 236940, 15433, 827, 623, 4424, 547, 1083, 623, 13831, 236770, 236778, 236800, 236812, 236810, 827, 623, 6848, 1083, 623, 154471, 4585, 9252, 827, 623, 2451, 1083, 623, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236778, 827, 623, 203701, 1083, 623, 7986, 827, 623, 1145, 3001, 1083, 623, 10671, 23179, 623, 31408, 236779, 23184, 1083, 623, 125596, 4749, 740, 577, 57726, 528, 7248, 1699, 8376, 529, 26296, 547, 568, 74392, 12562, 5853, 779, 5453, 568, 7125, 31744, 779, 532, 4500, 1904, 6137, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 158858, 44426, 3393, 573, 506, 30856, 4585, 9252, 4563, 236787, 108, 1018, 38943, 8739, 10739, 53121, 870, 2574, 1411, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 8162, 860, 236832, 236828, 236778, 236800, 171023, 5457, 2574, 1411, 58374, 236772, 48203, 236761, 8358, 236761, 854, 236786, 19057, 236881, 11240, 236784, 8162, 860, 236832, 236828, 236778, 236800, 171023, 236768, 108, 1018, 115851, 36126, 53121, 107, 236772, 27409, 236787, 31386, 236770, 236810, 236761, 236771, 236771, 107, 236772, 80732, 236787, 23339, 10373, 9064, 88691, 107, 236772, 158858, 5853, 236787, 23986, 9346, 236940, 15433, 107, 236772, 5213, 4424, 547, 53121, 27511, 236770, 236778, 236800, 236812, 236810, 568, 212647, 27239, 5853, 236768, 107, 236772, 5213, 36736, 1904, 53121, 78720, 236825, 236832, 236828, 236819, 568, 30790, 9661, 236768, 107, 236772, 5213, 6848, 53121, 30856, 4585, 9252, 568, 6375, 72575, 236768, 107, 236772, 5213, 2451, 53121, 11862, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236778, 568, 3500, 64608, 5853, 236768, 108, 1018, 125596, 12209, 64608, 166977, 53121, 107, 2717, 3723, 107, 715, 30856, 4585, 9252, 27239, 107, 236782, 107, 138, 236775, 5106, 236779, 547, 1083, 623, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236778, 827, 107, 138, 236775, 7125, 1083, 623, 154471, 4585, 9252, 827, 107, 138, 236775, 4424, 547, 1083, 623, 13831, 236770, 236778, 236800, 236812, 236810, 827, 107, 138, 236775, 36736, 1904, 1083, 623, 197469, 236825, 236832, 236828, 236819, 827, 107, 138, 236775, 24471, 236779, 2861, 1083, 236743, 236778, 236800, 236764, 107, 138, 236775, 6725, 236779, 83122, 1083, 236743, 236800, 236812, 236810, 236761, 236771, 236771, 107, 236783, 108, 715, 222995, 12209, 14691, 568, 13517, 21617, 236768, 107, 236782, 107, 138, 236775, 5106, 236779, 547, 1083, 623, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236770, 827, 107, 138, 236775, 7125, 1083, 623, 128197, 10373, 71847, 827, 107, 138, 236775, 4424, 547, 1083, 623, 13831, 236770, 236778, 236800, 236812, 236810, 827, 107, 138, 236775, 36736, 1904, 1083, 623, 197469, 236825, 236832, 236828, 236819, 827, 107, 138, 236775, 24471, 236779, 2861, 1083, 236743, 236770, 236828, 236764, 107, 138, 236775, 6725, 236779, 83122, 1083, 236743, 236778, 236832, 236771, 236761, 236771, 236771, 107, 236783, 107, 2717, 108, 1018, 55806, 9534, 34428, 53121, 107, 236770, 236761, 5213, 6375, 64608, 53121, 669, 2165, 6848, 236929, 7689, 6791, 154471, 4585, 9252, 1373, 8207, 38905, 506, 5663, 4563, 107, 236778, 236761, 5213, 3500, 16811, 522, 53121, 49243, 2165, 2451, 236929, 7689, 6791, 6459, 36875, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236778, 1373, 16710, 672, 3530, 2460, 5705, 107, 236800, 236761, 5213, 112865, 73310, 53121, 6890, 2165, 4424, 547, 236929, 900, 2165, 36736, 1904, 236929, 900, 2165, 6848, 236929, 8376, 531, 38036, 13192, 573, 236787, 107, 139, 236772, 21617, 236772, 15396, 13761, 107, 139, 236772, 12713, 236772, 7125, 33772, 107, 139, 236772, 18982, 3736, 19455, 107, 236812, 236761, 5213, 3484, 82032, 53121, 7086, 44426, 3393, 44529, 568, 1145, 3001, 236768, 7351, 40878, 23227, 672, 4563, 236789, 236751, 5417, 108, 1018, 17043, 25761, 42272, 53121, 14066, 1699, 48835, 4500, 1904, 2979, 568, 236744, 236761, 236759, 1126, 78720, 236825, 236832, 236819, 236771, 573, 3402, 30856, 4749, 236768, 531, 4883, 54724, 4563, 236772, 15396, 24391, 22249, 1651, 10264, 26296, 547, 9958, 573, 6782, 2460, 3605, 16074, 236761, 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, 98043, 699, 5054, 160222, 236761, 3551, 53276, 699, 506, 6322, 236764, 25002, 236764, 563, 4891, 573, 496, 23068, 7946, 2148, 2297, 532, 564, 1202, 531, 5039, 1515, 506, 24372, 236761, 2024, 564, 236789, 560, 2506, 1156, 4553, 87945, 573, 1515, 236787, 623, 236753, 1478, 236761, 208411, 236940, 8358, 236761, 854, 236775, 532, 623, 236753, 1478, 208411, 236940, 1490, 2618, 236761, 1364, 236761, 1490, 3056, 669, 2608, 563, 236764, 564, 1537, 236789, 236745, 1461, 531, 5039, 625, 531, 496, 4287, 3421, 236761, 28344, 611, 18855, 1800, 236881, 1637, 506, 1171, 886, 236789, 236751, 19070, 236764, 2056, 506, 1855, 886, 236761, 5393, 56689, 1386, 2889, 668, 6757, 506, 24372, 531, 1041, 677, 2538, 135556, 24988, 12441, 4598, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6774, 1083, 623, 236753, 1478, 236761, 208411, 236940, 8358, 236761, 854, 827, 623, 4730, 1083, 1847, 236764, 623, 27388, 1083, 623, 11238, 532, 8610, 3196, 4341, 25938, 106, 107, 105, 4368, 107, 818, 4553, 3421, 2165, 236753, 1478, 236761, 208411, 236940, 8358, 236761, 854, 236929, 815, 1010, 44526, 618, 5213, 4730, 1018, 568, 5939, 532, 8610, 3196, 4338, 769, 1599, 740, 21236, 5039, 506, 24372, 531, 672, 3421, 236761, 2301, 1202, 531, 2426, 506, 1855, 4553, 20442, 236753, 1478, 208411, 236940, 1490, 2618, 236761, 1364, 236761, 1490, 18833, 2338, 506, 1171, 886, 563, 10778, 4341, 236761, 28819, 506, 23068, 7946, 532, 677, 2538, 135556, 24988, 12441, 4598, 236888, 236743, 250046, 249686, 121457, 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, 17531, 993, 236764, 564, 236789, 236757, 98043, 699, 5054, 160222, 236761, 3551, 53276, 699, 506, 6322, 236764, 25002, 236764, 563, 4891, 573, 496, 23068, 7946, 2148, 2297, 532, 564, 1202, 531, 5039, 1515, 506, 24372, 236761, 2024, 564, 236789, 560, 2506, 1156, 4553, 87945, 573, 1515, 236787, 623, 236753, 1478, 236761, 208411, 236940, 8358, 236761, 854, 236775, 532, 623, 236753, 1478, 208411, 236940, 1490, 2618, 236761, 1364, 236761, 1490, 3056, 669, 2608, 563, 236764, 564, 1537, 236789, 236745, 1461, 531, 5039, 625, 531, 496, 4287, 3421, 236761, 28344, 611, 18855, 1800, 236881, 1637, 506, 1171, 886, 236789, 236751, 19070, 236764, 2056, 506, 1855, 886, 236761, 5393, 56689, 1386, 2889, 668, 6757, 506, 24372, 531, 1041, 677, 2538, 135556, 24988, 12441, 4598, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6774, 1083, 623, 236753, 1478, 236761, 208411, 236940, 8358, 236761, 854, 827, 623, 4730, 1083, 1847, 236764, 623, 27388, 1083, 623, 11238, 532, 8610, 3196, 4341, 25938, 106, 107, 105, 4368, 107, 818, 4553, 3421, 2165, 236753, 1478, 236761, 208411, 236940, 8358, 236761, 854, 236929, 815, 1010, 44526, 618, 5213, 4730, 1018, 568, 5939, 532, 8610, 3196, 4338, 769, 1599, 740, 21236, 5039, 506, 24372, 531, 672, 3421, 236761, 2301, 1202, 531, 2426, 506, 1855, 4553, 20442, 236753, 1478, 208411, 236940, 1490, 2618, 236761, 1364, 236761, 1490, 18833, 2338, 506, 1171, 886, 563, 10778, 4341, 236761, 28819, 506, 23068, 7946, 532, 677, 2538, 135556, 24988, 12441, 4598, 236888, 236743, 250046, 249686, 121457, 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, 1586, 496, 30008, 9262, 9273, 573, 9137, 21196, 600, 992, 815, 116457, 34894, 532, 563, 614, 192103, 1722, 236761, 3199, 611, 1601, 786, 21332, 1343, 506, 4518, 1171, 236764, 1299, 1586, 23207, 16590, 1239, 13138, 236764, 532, 6861, 2847, 9813, 4518, 8781, 573, 506, 1903, 25809, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 75587, 236779, 547, 1083, 623, 12802, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 72982, 46768, 827, 623, 2084, 1083, 623, 2704, 1614, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 54331, 1083, 11058, 190230, 827, 623, 17485, 791, 31444, 827, 623, 13856, 236762, 14255, 623, 89657, 2278, 1083, 11058, 40717, 236762, 827, 623, 178249, 533, 827, 623, 20316, 17415, 14255, 623, 7777, 1083, 623, 236776, 9760, 192103, 9262, 3224, 573, 1061, 30199, 21196, 4518, 532, 116457, 49333, 236761, 45891, 573, 9137, 1161, 236764, 625, 4728, 496, 78741, 2742, 1494, 532, 33627, 5268, 21196, 236761, 28301, 30252, 2351, 236743, 236770, 236771, 236772, 236770, 236810, 4310, 532, 1774, 236743, 236778, 236772, 236800, 3885, 236761, 3353, 4400, 6299, 11203, 532, 4869, 39485, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 75587, 236779, 547, 1083, 623, 12802, 236770, 236778, 236800, 827, 623, 30558, 236779, 54331, 1083, 11058, 119155, 567, 827, 623, 83871, 567, 827, 623, 94801, 56415, 827, 623, 49854, 54524, 14255, 623, 27851, 236779, 54331, 1083, 11058, 66926, 106649, 827, 623, 236796, 4290, 1583, 827, 623, 126463, 229785, 14255, 623, 14221, 1895, 236779, 13330, 1083, 3714, 594, 236755, 1083, 623, 13238, 568, 236778, 236778, 236772, 236778, 236810, 11376, 827, 623, 181059, 1083, 623, 26834, 568, 236770, 236772, 236778, 11376, 23179, 623, 2364, 236779, 160517, 1083, 3714, 11147, 236779, 66850, 1083, 11058, 236788, 49084, 532, 18589, 236762, 49333, 607, 7080, 16947, 827, 623, 39300, 2742, 21196, 2180, 9069, 20389, 827, 623, 75393, 573, 86107, 532, 9137, 6573, 236772, 3843, 14255, 623, 62353, 236779, 1930, 1083, 623, 164334, 236786, 41958, 23179, 623, 589, 236758, 1633, 236779, 13330, 1083, 3714, 3307, 1916, 1633, 1083, 623, 86909, 638, 568, 236800, 236761, 236778, 11376, 827, 623, 151867, 54040, 1633, 1083, 623, 65757, 568, 236770, 236761, 236828, 11376, 827, 623, 3824, 498, 1633, 1083, 623, 17070, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 3671, 529, 5213, 72982, 46768, 568, 12802, 236770, 236778, 236800, 62902, 236764, 36443, 531, 822, 13138, 236787, 108, 10354, 236743, 243536, 109679, 29520, 107, 236772, 5213, 2328, 66515, 192103, 138, 107, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 236786, 236810, 138, 107, 236772, 5213, 214849, 66515, 10824, 236762, 236764, 187430, 236764, 532, 47434, 12996, 2699, 138, 107, 236772, 5213, 4989, 236780, 236786, 122192, 66515, 4819, 79318, 568, 236778, 236778, 236772, 236778, 236810, 28585, 2708, 24193, 568, 236770, 236772, 236778, 11376, 138, 108, 10354, 236743, 244876, 28301, 573, 59797, 150498, 107, 236772, 5213, 48084, 28301, 66515, 138, 107, 138, 236772, 22267, 21196, 532, 173005, 138, 107, 138, 236772, 43378, 532, 4331, 11277, 138, 107, 236772, 5213, 63702, 28301, 66515, 138, 107, 138, 236772, 32681, 11203, 236764, 158766, 236764, 4869, 39485, 138, 107, 236772, 5213, 37701, 236758, 1633, 29520, 66515, 138, 107, 138, 236772, 5213, 4754, 1916, 1633, 1018, 568, 236800, 236761, 236778, 236908, 1473, 10635, 5836, 173005, 532, 11103, 21196, 138, 107, 138, 236772, 5213, 236780, 835, 54040, 1633, 1018, 568, 236770, 236761, 236828, 236908, 1473, 86511, 7247, 236772, 41797, 6417, 138, 108, 10354, 236743, 245305, 7486, 20369, 107, 236772, 5213, 19892, 31727, 66515, 138, 107, 138, 236772, 623, 236788, 49084, 49333, 607, 7080, 16947, 236775, 138, 107, 138, 236772, 623, 75393, 573, 86107, 532, 9137, 6573, 236772, 3843, 236775, 138, 107, 236772, 5213, 75652, 6890, 66515, 59797, 236786, 13856, 138, 108, 10354, 113452, 8922, 1174, 109679, 145982, 5180, 59017, 107, 236772, 145918, 5213, 2704, 1614, 1722, 1018, 573, 78741, 4518, 236761, 138, 107, 236772, 5213, 236788, 49084, 34894, 1018, 8913, 607, 822, 11613, 24104, 236761, 138, 107, 236772, 4819, 79318, 532, 1041, 1916, 1633, 3004, 5330, 5213, 85219, 21196, 125546, 7436, 573, 58405, 236761, 138, 108, 1018, 10282, 66515, 3353, 4400, 158766, 236764, 834, 5571, 5085, 20226, 197609, 236761, 138, 108, 38786, 611, 1133, 9302, 3835, 653, 919, 4889, 236881, 236743, 249214, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 531, 1586, 496, 30008, 9262, 9273, 573, 9137, 21196, 600, 992, 815, 116457, 34894, 532, 563, 614, 192103, 1722, 236761, 3199, 611, 1601, 786, 21332, 1343, 506, 4518, 1171, 236764, 1299, 1586, 23207, 16590, 1239, 13138, 236764, 532, 6861, 2847, 9813, 4518, 8781, 573, 506, 1903, 25809, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 75587, 236779, 547, 1083, 623, 12802, 236770, 236778, 236800, 827, 623, 1201, 1083, 623, 72982, 46768, 827, 623, 2084, 1083, 623, 2704, 1614, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 54331, 1083, 11058, 190230, 827, 623, 17485, 791, 31444, 827, 623, 13856, 236762, 14255, 623, 89657, 2278, 1083, 11058, 40717, 236762, 827, 623, 178249, 533, 827, 623, 20316, 17415, 14255, 623, 7777, 1083, 623, 236776, 9760, 192103, 9262, 3224, 573, 1061, 30199, 21196, 4518, 532, 116457, 49333, 236761, 45891, 573, 9137, 1161, 236764, 625, 4728, 496, 78741, 2742, 1494, 532, 33627, 5268, 21196, 236761, 28301, 30252, 2351, 236743, 236770, 236771, 236772, 236770, 236810, 4310, 532, 1774, 236743, 236778, 236772, 236800, 3885, 236761, 3353, 4400, 6299, 11203, 532, 4869, 39485, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 75587, 236779, 547, 1083, 623, 12802, 236770, 236778, 236800, 827, 623, 30558, 236779, 54331, 1083, 11058, 119155, 567, 827, 623, 83871, 567, 827, 623, 94801, 56415, 827, 623, 49854, 54524, 14255, 623, 27851, 236779, 54331, 1083, 11058, 66926, 106649, 827, 623, 236796, 4290, 1583, 827, 623, 126463, 229785, 14255, 623, 14221, 1895, 236779, 13330, 1083, 3714, 594, 236755, 1083, 623, 13238, 568, 236778, 236778, 236772, 236778, 236810, 11376, 827, 623, 181059, 1083, 623, 26834, 568, 236770, 236772, 236778, 11376, 23179, 623, 2364, 236779, 160517, 1083, 3714, 11147, 236779, 66850, 1083, 11058, 236788, 49084, 532, 18589, 236762, 49333, 607, 7080, 16947, 827, 623, 39300, 2742, 21196, 2180, 9069, 20389, 827, 623, 75393, 573, 86107, 532, 9137, 6573, 236772, 3843, 14255, 623, 62353, 236779, 1930, 1083, 623, 164334, 236786, 41958, 23179, 623, 589, 236758, 1633, 236779, 13330, 1083, 3714, 3307, 1916, 1633, 1083, 623, 86909, 638, 568, 236800, 236761, 236778, 11376, 827, 623, 151867, 54040, 1633, 1083, 623, 65757, 568, 236770, 236761, 236828, 11376, 827, 623, 3824, 498, 1633, 1083, 623, 17070, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 3671, 529, 5213, 72982, 46768, 568, 12802, 236770, 236778, 236800, 62902, 236764, 36443, 531, 822, 13138, 236787, 108, 10354, 236743, 243536, 109679, 29520, 107, 236772, 5213, 2328, 66515, 192103, 138, 107, 236772, 5213, 12127, 66515, 236743, 236812, 236761, 236832, 236786, 236810, 138, 107, 236772, 5213, 214849, 66515, 10824, 236762, 236764, 187430, 236764, 532, 47434, 12996, 2699, 138, 107, 236772, 5213, 4989, 236780, 236786, 122192, 66515, 4819, 79318, 568, 236778, 236778, 236772, 236778, 236810, 28585, 2708, 24193, 568, 236770, 236772, 236778, 11376, 138, 108, 10354, 236743, 244876, 28301, 573, 59797, 150498, 107, 236772, 5213, 48084, 28301, 66515, 138, 107, 138, 236772, 22267, 21196, 532, 173005, 138, 107, 138, 236772, 43378, 532, 4331, 11277, 138, 107, 236772, 5213, 63702, 28301, 66515, 138, 107, 138, 236772, 32681, 11203, 236764, 158766, 236764, 4869, 39485, 138, 107, 236772, 5213, 37701, 236758, 1633, 29520, 66515, 138, 107, 138, 236772, 5213, 4754, 1916, 1633, 1018, 568, 236800, 236761, 236778, 236908, 1473, 10635, 5836, 173005, 532, 11103, 21196, 138, 107, 138, 236772, 5213, 236780, 835, 54040, 1633, 1018, 568, 236770, 236761, 236828, 236908, 1473, 86511, 7247, 236772, 41797, 6417, 138, 108, 10354, 236743, 245305, 7486, 20369, 107, 236772, 5213, 19892, 31727, 66515, 138, 107, 138, 236772, 623, 236788, 49084, 49333, 607, 7080, 16947, 236775, 138, 107, 138, 236772, 623, 75393, 573, 86107, 532, 9137, 6573, 236772, 3843, 236775, 138, 107, 236772, 5213, 75652, 6890, 66515, 59797, 236786, 13856, 138, 108, 10354, 113452, 8922, 1174, 109679, 145982, 5180, 59017, 107, 236772, 145918, 5213, 2704, 1614, 1722, 1018, 573, 78741, 4518, 236761, 138, 107, 236772, 5213, 236788, 49084, 34894, 1018, 8913, 607, 822, 11613, 24104, 236761, 138, 107, 236772, 4819, 79318, 532, 1041, 1916, 1633, 3004, 5330, 5213, 85219, 21196, 125546, 7436, 573, 58405, 236761, 138, 108, 1018, 10282, 66515, 3353, 4400, 158766, 236764, 834, 5571, 5085, 20226, 197609, 236761, 138, 108, 38786, 611, 1133, 9302, 3835, 653, 919, 4889, 236881, 236743, 249214, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 7280, 236764, 1161, 506, 218587, 5904, 607, 506, 65911, 3393, 236743, 236778, 236819, 236812, 236771, 236770, 531, 974, 4889, 1003, 66341, 236764, 4257, 14277, 236761, 4298, 236764, 1161, 506, 5192, 532, 2891, 17253, 699, 600, 3072, 531, 2246, 33606, 847, 236779, 828, 236779, 39218, 573, 52131, 1204, 236789, 236751, 2263, 17042, 3835, 236761, 13472, 236764, 8430, 614, 3260, 236789, 236751, 1463, 699, 506, 42364, 3072, 532, 1161, 974, 236779, 7513, 236779, 20263, 236779, 2003, 236779, 6386, 531, 1586, 496, 7798, 14993, 573, 1041, 4301, 8884, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 54912, 39015, 827, 623, 3255, 1083, 623, 23425, 14277, 827, 623, 14801, 1083, 623, 3118, 827, 623, 37673, 1083, 236743, 236800, 236778, 236761, 236832, 236832, 236825, 236810, 236764, 623, 41713, 1083, 753, 236832, 236819, 236761, 236819, 236778, 236819, 236828, 236764, 623, 7376, 236779, 3970, 1083, 623, 236828, 236812, 236800, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39218, 1083, 78493, 1201, 1083, 623, 9435, 827, 623, 2451, 1083, 119882, 623, 547, 1083, 623, 4145, 236779, 8147, 23179, 3714, 1201, 1083, 623, 40169, 827, 623, 2451, 1083, 9560, 33643, 827, 623, 547, 1083, 623, 4145, 236779, 33643, 23179, 3714, 1201, 1083, 623, 22463, 827, 623, 2451, 1083, 9560, 2438, 827, 623, 547, 1083, 623, 4145, 236779, 2438, 23179, 3714, 1201, 1083, 623, 210024, 827, 623, 2451, 1083, 9560, 155896, 827, 623, 547, 1083, 623, 4145, 236779, 155896, 23179, 3714, 1201, 1083, 623, 27286, 827, 623, 2451, 1083, 9560, 26377, 827, 623, 547, 1083, 623, 4145, 236779, 26377, 23179, 3714, 1201, 1083, 623, 19952, 6007, 827, 623, 2451, 1083, 9560, 17002, 827, 623, 547, 1083, 623, 4145, 236779, 17002, 25938, 1604, 623, 27617, 1083, 623, 38556, 827, 623, 14801, 1083, 623, 3118, 827, 623, 19859, 1083, 623, 501, 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, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 818, 6789, 529, 3978, 7531, 563, 3978, 3931, 10498, 623, 6386, 1083, 623, 10666, 108291, 827, 623, 6265, 1083, 623, 30379, 662, 236789, 236751, 17172, 9186, 236764, 236743, 236770, 236828, 236828, 236771, 25938, 106, 107, 105, 4368, 107, 11069, 4301, 8884, 7234, 573, 66341, 236764, 4257, 14277, 12502, 1590, 236787, 108, 244343, 5213, 54912, 39015, 77985, 1018, 138, 107, 104548, 236787, 236743, 236800, 236778, 236761, 236832, 236832, 236825, 236810, 1109, 8099, 4637, 236787, 753, 236832, 236819, 236761, 236819, 236778, 236819, 236828, 138, 107, 13262, 8739, 236787, 236743, 236828, 236812, 236800, 1109, 17694, 236787, 3640, 4184, 138, 108, 248839, 238178, 5213, 13149, 36759, 76374, 1018, 138, 107, 8409, 38101, 52131, 1204, 236789, 236751, 2590, 3432, 236764, 564, 14275, 910, 66341, 236772, 18865, 12669, 236787, 138, 107, 236772, 870, 9435, 5457, 31004, 1109, 870, 40169, 93116, 33643, 236768, 1109, 870, 22463, 93116, 2438, 236768, 138, 107, 236772, 870, 210024, 93116, 155896, 236768, 1109, 870, 27286, 93116, 26377, 236768, 1109, 870, 28368, 93116, 17002, 236768, 138, 108, 239794, 5213, 902, 112929, 56892, 1018, 138, 107, 71510, 818, 6789, 529, 3978, 7531, 563, 3978, 3931, 1781, 236829, 138, 107, 236964, 4534, 108291, 236764, 699, 914, 236743, 236770, 236828, 236828, 236771, 17172, 9186, 138, 108, 236769, 54133, 23069, 573, 6534, 1027, 19063, 528, 672, 17110, 25260, 3207, 15520, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 7280, 236764, 1161, 506, 218587, 5904, 607, 506, 65911, 3393, 236743, 236778, 236819, 236812, 236771, 236770, 531, 974, 4889, 1003, 66341, 236764, 4257, 14277, 236761, 4298, 236764, 1161, 506, 5192, 532, 2891, 17253, 699, 600, 3072, 531, 2246, 33606, 847, 236779, 828, 236779, 39218, 573, 52131, 1204, 236789, 236751, 2263, 17042, 3835, 236761, 13472, 236764, 8430, 614, 3260, 236789, 236751, 1463, 699, 506, 42364, 3072, 532, 1161, 974, 236779, 7513, 236779, 20263, 236779, 2003, 236779, 6386, 531, 1586, 496, 7798, 14993, 573, 1041, 4301, 8884, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13319, 1083, 623, 54912, 39015, 827, 623, 3255, 1083, 623, 23425, 14277, 827, 623, 14801, 1083, 623, 3118, 827, 623, 37673, 1083, 236743, 236800, 236778, 236761, 236832, 236832, 236825, 236810, 236764, 623, 41713, 1083, 753, 236832, 236819, 236761, 236819, 236778, 236819, 236828, 236764, 623, 7376, 236779, 3970, 1083, 623, 236828, 236812, 236800, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39218, 1083, 78493, 1201, 1083, 623, 9435, 827, 623, 2451, 1083, 119882, 623, 547, 1083, 623, 4145, 236779, 8147, 23179, 3714, 1201, 1083, 623, 40169, 827, 623, 2451, 1083, 9560, 33643, 827, 623, 547, 1083, 623, 4145, 236779, 33643, 23179, 3714, 1201, 1083, 623, 22463, 827, 623, 2451, 1083, 9560, 2438, 827, 623, 547, 1083, 623, 4145, 236779, 2438, 23179, 3714, 1201, 1083, 623, 210024, 827, 623, 2451, 1083, 9560, 155896, 827, 623, 547, 1083, 623, 4145, 236779, 155896, 23179, 3714, 1201, 1083, 623, 27286, 827, 623, 2451, 1083, 9560, 26377, 827, 623, 547, 1083, 623, 4145, 236779, 26377, 23179, 3714, 1201, 1083, 623, 19952, 6007, 827, 623, 2451, 1083, 9560, 17002, 827, 623, 547, 1083, 623, 4145, 236779, 17002, 25938, 1604, 623, 27617, 1083, 623, 38556, 827, 623, 14801, 1083, 623, 3118, 827, 623, 19859, 1083, 623, 501, 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, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 818, 6789, 529, 3978, 7531, 563, 3978, 3931, 10498, 623, 6386, 1083, 623, 10666, 108291, 827, 623, 6265, 1083, 623, 30379, 662, 236789, 236751, 17172, 9186, 236764, 236743, 236770, 236828, 236828, 236771, 25938, 106, 107, 105, 4368, 107, 11069, 4301, 8884, 7234, 573, 66341, 236764, 4257, 14277, 12502, 1590, 236787, 108, 244343, 5213, 54912, 39015, 77985, 1018, 138, 107, 104548, 236787, 236743, 236800, 236778, 236761, 236832, 236832, 236825, 236810, 1109, 8099, 4637, 236787, 753, 236832, 236819, 236761, 236819, 236778, 236819, 236828, 138, 107, 13262, 8739, 236787, 236743, 236828, 236812, 236800, 1109, 17694, 236787, 3640, 4184, 138, 108, 248839, 238178, 5213, 13149, 36759, 76374, 1018, 138, 107, 8409, 38101, 52131, 1204, 236789, 236751, 2590, 3432, 236764, 564, 14275, 910, 66341, 236772, 18865, 12669, 236787, 138, 107, 236772, 870, 9435, 5457, 31004, 1109, 870, 40169, 93116, 33643, 236768, 1109, 870, 22463, 93116, 2438, 236768, 138, 107, 236772, 870, 210024, 93116, 155896, 236768, 1109, 870, 27286, 93116, 26377, 236768, 1109, 870, 28368, 93116, 17002, 236768, 138, 108, 239794, 5213, 902, 112929, 56892, 1018, 138, 107, 71510, 818, 6789, 529, 3978, 7531, 563, 3978, 3931, 1781, 236829, 138, 107, 236964, 4534, 108291, 236764, 699, 914, 236743, 236770, 236828, 236828, 236771, 17172, 9186, 138, 108, 236769, 54133, 23069, 573, 6534, 1027, 19063, 528, 672, 17110, 25260, 3207, 15520, 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, 8966, 236761, 564, 236789, 236757, 35447, 496, 1944, 32183, 5975, 5395, 573, 1070, 4690, 528, 45876, 10892, 236764, 532, 564, 1202, 531, 1586, 496, 9273, 19573, 236761, 28344, 611, 2426, 1144, 37643, 659, 2487, 3541, 1590, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 119469, 1083, 78493, 1201, 1083, 623, 63853, 535, 10892, 11493, 6022, 827, 623, 7720, 1083, 623, 236770, 236771, 236771, 645, 29163, 842, 236764, 45876, 10892, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236812, 827, 623, 48578, 1083, 236743, 236810, 236771, 236764, 623, 18700, 236779, 3841, 1083, 11058, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236825, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 14255, 623, 11607, 1083, 33865, 236819, 236770, 236819, 236768, 236743, 236819, 236825, 236828, 236772, 236778, 236832, 236828, 236771, 23179, 3714, 1201, 1083, 623, 22843, 66307, 25402, 18120, 827, 623, 7720, 1083, 623, 236812, 236770, 236770, 29163, 842, 236764, 45876, 10892, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236812, 827, 623, 48578, 1083, 236743, 236778, 236771, 236764, 623, 18700, 236779, 3841, 1083, 11058, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 14255, 623, 11607, 1083, 33865, 236819, 236770, 236819, 236768, 236743, 236819, 236825, 236778, 236772, 236778, 236800, 236812, 236810, 23179, 3714, 1201, 1083, 623, 818, 18245, 125649, 48022, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 7720, 1083, 623, 236770, 236770, 236819, 649, 6400, 842, 236764, 45876, 10892, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236825, 827, 623, 48578, 1083, 236743, 236770, 236810, 236764, 623, 18700, 236779, 3841, 1083, 11058, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236825, 236774, 236770, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 14255, 623, 11607, 1083, 33865, 236819, 236770, 236819, 236768, 236743, 236819, 236778, 236819, 236772, 236778, 236832, 236778, 236832, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 2487, 37643, 3541, 45876, 10892, 573, 822, 32183, 5975, 5395, 236787, 108, 236770, 236761, 5213, 63853, 535, 10892, 11493, 6022, 1018, 138, 107, 139, 236772, 236743, 244343, 15874, 236787, 236743, 236770, 236771, 236771, 645, 29163, 842, 236764, 45876, 10892, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236812, 138, 107, 139, 236772, 236743, 478, 397, 408, 383, 61242, 236787, 236743, 236810, 236771, 1331, 138, 107, 139, 236772, 236743, 246539, 18326, 2782, 236787, 3353, 236743, 236770, 236810, 657, 236743, 236770, 236812, 236787, 236771, 236771, 59528, 236764, 3353, 236743, 236770, 236825, 657, 236743, 236770, 236771, 236787, 236771, 236771, 59528, 138, 107, 139, 236772, 236743, 246080, 13948, 236787, 568, 236819, 236770, 236819, 236768, 236743, 236819, 236825, 236828, 236772, 236778, 236832, 236828, 236771, 138, 108, 236778, 236761, 5213, 22843, 66307, 25402, 18120, 1018, 138, 107, 139, 236772, 236743, 244343, 15874, 236787, 236743, 236812, 236770, 236770, 29163, 842, 236764, 45876, 10892, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236812, 138, 107, 139, 236772, 236743, 478, 397, 408, 383, 61242, 236787, 236743, 236778, 236771, 1331, 138, 107, 139, 236772, 236743, 246539, 18326, 2782, 236787, 3353, 236743, 236770, 236810, 657, 236743, 236770, 236825, 236787, 236771, 236771, 59528, 138, 107, 139, 236772, 236743, 246080, 13948, 236787, 568, 236819, 236770, 236819, 236768, 236743, 236819, 236825, 236778, 236772, 236778, 236800, 236812, 236810, 138, 108, 236800, 236761, 5213, 818, 18245, 125649, 62367, 1018, 138, 107, 139, 236772, 236743, 244343, 15874, 236787, 236743, 236770, 236770, 236819, 649, 6400, 842, 236764, 45876, 10892, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236825, 138, 107, 139, 236772, 236743, 478, 397, 408, 383, 61242, 236787, 236743, 236770, 236810, 1331, 138, 107, 139, 236772, 236743, 246539, 18326, 2782, 236787, 3353, 236743, 236770, 236810, 657, 236743, 236770, 236800, 236787, 236771, 236771, 59528, 236764, 3353, 236743, 236770, 236825, 657, 236743, 236770, 236770, 236787, 236771, 236771, 59528, 138, 107, 139, 236772, 236743, 246080, 13948, 236787, 568, 236819, 236770, 236819, 236768, 236743, 236819, 236778, 236819, 236772, 236778, 236832, 236778, 236832, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 2260, 496, 3530, 19573, 653, 1202, 4767, 4889, 568, 236744, 236761, 236759, 1126, 21212, 236764, 31087, 236764, 653, 30981, 573, 822, 2299, 2425, 47473, 103453, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 19573, 4889, 236888, 28344, 611, 2426, 506, 1873, 2263, 990, 532, 59528, 9815, 573, 45876, 10892, 236764, 23316, 236881, 564, 236789, 236753, 1133, 531, 9128, 1144, 1239, 59528, 2782, 17866, 531, 528, 1023, 2263, 990, 10202, 1680, 201585, 4658, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 63853, 535, 10892, 236764, 23316, 827, 623, 6047, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236772, 236771, 236812, 236787, 236771, 236771, 827, 623, 101696, 236779, 10617, 236779, 24392, 1083, 753, 236812, 236764, 623, 101696, 236779, 10617, 236779, 38466, 1083, 236743, 236771, 236783, 106, 107, 105, 4368, 107, 818, 1873, 2263, 990, 528, 45876, 10892, 236764, 23316, 563, 5213, 236778, 236787, 236800, 236771, 8711, 102775, 568, 13902, 236772, 236812, 62902, 618, 529, 5142, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 236761, 108, 8291, 659, 506, 19573, 15830, 2782, 16952, 531, 5213, 6047, 990, 568, 2413, 236774, 62902, 236787, 108, 236770, 236761, 5213, 63853, 535, 10892, 11493, 6022, 1018, 138, 107, 139, 236772, 236743, 244343, 3353, 236743, 236770, 236810, 236787, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 236743, 244343, 3353, 236743, 236770, 236825, 236787, 236743, 236825, 236787, 236771, 236771, 8151, 138, 108, 236778, 236761, 5213, 22843, 66307, 25402, 18120, 1018, 138, 107, 139, 236772, 236743, 244343, 3353, 236743, 236770, 236810, 236787, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 138, 108, 236800, 236761, 5213, 818, 18245, 125649, 62367, 1018, 138, 107, 139, 236772, 236743, 244343, 3353, 236743, 236770, 236810, 236787, 236743, 236819, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 236743, 244343, 3353, 236743, 236770, 236825, 236787, 236743, 236832, 236787, 236771, 236771, 8151, 138, 108, 236813, 236743, 195096, 5213, 10282, 66515, 2343, 14069, 3505, 568, 12055, 236743, 236770, 236810, 236964, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 659, 528, 506, 3068, 6658, 531, 3124, 568, 27403, 236743, 236778, 236771, 769, 1637, 611, 236789, 500, 6995, 573, 496, 3402, 5395, 236764, 5091, 9128, 15830, 573, 822, 10991, 3433, 5467, 607, 506, 19573, 236761, 21284, 611, 1133, 786, 531, 2426, 15830, 573, 496, 3530, 16038, 3433, 236881, 103453, 106, 107, 105, 2364, 107, 30092, 611, 2426, 506, 37643, 2487, 573, 5142, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 657, 236743, 236778, 236787, 236771, 236771, 8711, 2263, 990, 573, 496, 2299, 529, 236743, 236770, 236771, 1331, 236881, 564, 1202, 496, 12010, 2557, 607, 3487, 11740, 573, 32183, 7093, 532, 1070, 33398, 573, 69589, 236761, 106, 107, 105, 4368, 107, 10081, 506, 19573, 5904, 4038, 236789, 236745, 1894, 16329, 15830, 573, 3530, 3402, 14069, 236764, 564, 5840, 57416, 506, 37643, 5467, 531, 9128, 15830, 573, 5213, 27403, 236743, 236778, 236778, 657, 236743, 236778, 236787, 236771, 236771, 8711, 2263, 990, 84750, 5715, 659, 910, 4889, 573, 822, 5577, 236787, 108, 236772, 5213, 63853, 535, 10892, 11493, 6022, 1018, 138, 107, 138, 246080, 568, 236819, 236770, 236819, 236768, 236743, 236819, 236825, 236828, 236772, 236778, 236832, 236828, 236771, 138, 107, 138, 240732, 808, 82502, 236787, 236743, 236810, 236771, 1331, 1271, 7436, 573, 822, 2299, 900, 69589, 236829, 138, 108, 236772, 5213, 22843, 66307, 25402, 18120, 1018, 138, 107, 138, 246080, 568, 236819, 236770, 236819, 236768, 236743, 236819, 236825, 236778, 236772, 236778, 236800, 236812, 236810, 138, 107, 138, 240732, 808, 82502, 236787, 236743, 236778, 236771, 1331, 1271, 12010, 236764, 11554, 2557, 573, 32183, 236829, 138, 108, 236772, 5213, 818, 18245, 125649, 62367, 1018, 138, 107, 138, 246080, 568, 236819, 236770, 236819, 236768, 236743, 236819, 236778, 236819, 236772, 236778, 236832, 236778, 236832, 138, 107, 138, 195096, 808, 12055, 577, 45342, 1271, 1791, 573, 15189, 1441, 236764, 840, 9128, 768, 901, 735, 496, 12010, 2433, 236829, 138, 108, 2542, 496, 11554, 32183, 5975, 5395, 236764, 506, 5213, 22843, 66307, 25402, 18120, 1018, 563, 4547, 506, 1791, 4691, 573, 12010, 3213, 532, 2633, 2557, 236761, 21284, 611, 1133, 786, 531, 1601, 12262, 496, 22479, 2864, 4553, 653, 2246, 8948, 573, 1091, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 564, 236789, 236757, 8966, 236761, 564, 236789, 236757, 35447, 496, 1944, 32183, 5975, 5395, 573, 1070, 4690, 528, 45876, 10892, 236764, 532, 564, 1202, 531, 1586, 496, 9273, 19573, 236761, 28344, 611, 2426, 1144, 37643, 659, 2487, 3541, 1590, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 119469, 1083, 78493, 1201, 1083, 623, 63853, 535, 10892, 11493, 6022, 827, 623, 7720, 1083, 623, 236770, 236771, 236771, 645, 29163, 842, 236764, 45876, 10892, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236812, 827, 623, 48578, 1083, 236743, 236810, 236771, 236764, 623, 18700, 236779, 3841, 1083, 11058, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236825, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 14255, 623, 11607, 1083, 33865, 236819, 236770, 236819, 236768, 236743, 236819, 236825, 236828, 236772, 236778, 236832, 236828, 236771, 23179, 3714, 1201, 1083, 623, 22843, 66307, 25402, 18120, 827, 623, 7720, 1083, 623, 236812, 236770, 236770, 29163, 842, 236764, 45876, 10892, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236812, 827, 623, 48578, 1083, 236743, 236778, 236771, 236764, 623, 18700, 236779, 3841, 1083, 11058, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 14255, 623, 11607, 1083, 33865, 236819, 236770, 236819, 236768, 236743, 236819, 236825, 236778, 236772, 236778, 236800, 236812, 236810, 23179, 3714, 1201, 1083, 623, 818, 18245, 125649, 48022, 236785, 236756, 236771, 236771, 236744, 236819, 827, 623, 7720, 1083, 623, 236770, 236770, 236819, 649, 6400, 842, 236764, 45876, 10892, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236825, 827, 623, 48578, 1083, 236743, 236770, 236810, 236764, 623, 18700, 236779, 3841, 1083, 11058, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236800, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236825, 236774, 236770, 236770, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 14255, 623, 11607, 1083, 33865, 236819, 236770, 236819, 236768, 236743, 236819, 236778, 236819, 236772, 236778, 236832, 236778, 236832, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 2487, 37643, 3541, 45876, 10892, 573, 822, 32183, 5975, 5395, 236787, 108, 236770, 236761, 5213, 63853, 535, 10892, 11493, 6022, 1018, 138, 107, 139, 236772, 236743, 244343, 15874, 236787, 236743, 236770, 236771, 236771, 645, 29163, 842, 236764, 45876, 10892, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236812, 138, 107, 139, 236772, 236743, 478, 397, 408, 383, 61242, 236787, 236743, 236810, 236771, 1331, 138, 107, 139, 236772, 236743, 246539, 18326, 2782, 236787, 3353, 236743, 236770, 236810, 657, 236743, 236770, 236812, 236787, 236771, 236771, 59528, 236764, 3353, 236743, 236770, 236825, 657, 236743, 236770, 236771, 236787, 236771, 236771, 59528, 138, 107, 139, 236772, 236743, 246080, 13948, 236787, 568, 236819, 236770, 236819, 236768, 236743, 236819, 236825, 236828, 236772, 236778, 236832, 236828, 236771, 138, 108, 236778, 236761, 5213, 22843, 66307, 25402, 18120, 1018, 138, 107, 139, 236772, 236743, 244343, 15874, 236787, 236743, 236812, 236770, 236770, 29163, 842, 236764, 45876, 10892, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236812, 138, 107, 139, 236772, 236743, 478, 397, 408, 383, 61242, 236787, 236743, 236778, 236771, 1331, 138, 107, 139, 236772, 236743, 246539, 18326, 2782, 236787, 3353, 236743, 236770, 236810, 657, 236743, 236770, 236825, 236787, 236771, 236771, 59528, 138, 107, 139, 236772, 236743, 246080, 13948, 236787, 568, 236819, 236770, 236819, 236768, 236743, 236819, 236825, 236778, 236772, 236778, 236800, 236812, 236810, 138, 108, 236800, 236761, 5213, 818, 18245, 125649, 62367, 1018, 138, 107, 139, 236772, 236743, 244343, 15874, 236787, 236743, 236770, 236770, 236819, 649, 6400, 842, 236764, 45876, 10892, 236764, 23316, 236743, 236778, 236832, 236810, 236770, 236825, 138, 107, 139, 236772, 236743, 478, 397, 408, 383, 61242, 236787, 236743, 236770, 236810, 1331, 138, 107, 139, 236772, 236743, 246539, 18326, 2782, 236787, 3353, 236743, 236770, 236810, 657, 236743, 236770, 236800, 236787, 236771, 236771, 59528, 236764, 3353, 236743, 236770, 236825, 657, 236743, 236770, 236770, 236787, 236771, 236771, 59528, 138, 107, 139, 236772, 236743, 246080, 13948, 236787, 568, 236819, 236770, 236819, 236768, 236743, 236819, 236778, 236819, 236772, 236778, 236832, 236778, 236832, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 2260, 496, 3530, 19573, 653, 1202, 4767, 4889, 568, 236744, 236761, 236759, 1126, 21212, 236764, 31087, 236764, 653, 30981, 573, 822, 2299, 2425, 47473, 103453, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 19573, 4889, 236888, 28344, 611, 2426, 506, 1873, 2263, 990, 532, 59528, 9815, 573, 45876, 10892, 236764, 23316, 236881, 564, 236789, 236753, 1133, 531, 9128, 1144, 1239, 59528, 2782, 17866, 531, 528, 1023, 2263, 990, 10202, 1680, 201585, 4658, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 63853, 535, 10892, 236764, 23316, 827, 623, 6047, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236772, 236771, 236812, 236787, 236771, 236771, 827, 623, 101696, 236779, 10617, 236779, 24392, 1083, 753, 236812, 236764, 623, 101696, 236779, 10617, 236779, 38466, 1083, 236743, 236771, 236783, 106, 107, 105, 4368, 107, 818, 1873, 2263, 990, 528, 45876, 10892, 236764, 23316, 563, 5213, 236778, 236787, 236800, 236771, 8711, 102775, 568, 13902, 236772, 236812, 62902, 618, 529, 5142, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 236761, 108, 8291, 659, 506, 19573, 15830, 2782, 16952, 531, 5213, 6047, 990, 568, 2413, 236774, 62902, 236787, 108, 236770, 236761, 5213, 63853, 535, 10892, 11493, 6022, 1018, 138, 107, 139, 236772, 236743, 244343, 3353, 236743, 236770, 236810, 236787, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 236743, 244343, 3353, 236743, 236770, 236825, 236787, 236743, 236825, 236787, 236771, 236771, 8151, 138, 108, 236778, 236761, 5213, 22843, 66307, 25402, 18120, 1018, 138, 107, 139, 236772, 236743, 244343, 3353, 236743, 236770, 236810, 236787, 236743, 236770, 236778, 236787, 236771, 236771, 8711, 138, 108, 236800, 236761, 5213, 818, 18245, 125649, 62367, 1018, 138, 107, 139, 236772, 236743, 244343, 3353, 236743, 236770, 236810, 236787, 236743, 236819, 236787, 236771, 236771, 8151, 138, 107, 139, 236772, 236743, 244343, 3353, 236743, 236770, 236825, 236787, 236743, 236832, 236787, 236771, 236771, 8151, 138, 108, 236813, 236743, 195096, 5213, 10282, 66515, 2343, 14069, 3505, 568, 12055, 236743, 236770, 236810, 236964, 236770, 236825, 236764, 236743, 236778, 236771, 236778, 236812, 236768, 659, 528, 506, 3068, 6658, 531, 3124, 568, 27403, 236743, 236778, 236771, 769, 1637, 611, 236789, 500, 6995, 573, 496, 3402, 5395, 236764, 5091, 9128, 15830, 573, 822, 10991, 3433, 5467, 607, 506, 19573, 236761, 21284, 611, 1133, 786, 531, 2426, 15830, 573, 496, 3530, 16038, 3433, 236881, 103453, 106, 107, 105, 2364, 107, 30092, 611, 2426, 506, 37643, 2487, 573, 5142, 236743, 236778, 236778, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 657, 236743, 236778, 236787, 236771, 236771, 8711, 2263, 990, 573, 496, 2299, 529, 236743, 236770, 236771, 1331, 236881, 564, 1202, 496, 12010, 2557, 607, 3487, 11740, 573, 32183, 7093, 532, 1070, 33398, 573, 69589, 236761, 106, 107, 105, 4368, 107, 10081, 506, 19573, 5904, 4038, 236789, 236745, 1894, 16329, 15830, 573, 3530, 3402, 14069, 236764, 564, 5840, 57416, 506, 37643, 5467, 531, 9128, 15830, 573, 5213, 27403, 236743, 236778, 236778, 657, 236743, 236778, 236787, 236771, 236771, 8711, 2263, 990, 84750, 5715, 659, 910, 4889, 573, 822, 5577, 236787, 108, 236772, 5213, 63853, 535, 10892, 11493, 6022, 1018, 138, 107, 138, 246080, 568, 236819, 236770, 236819, 236768, 236743, 236819, 236825, 236828, 236772, 236778, 236832, 236828, 236771, 138, 107, 138, 240732, 808, 82502, 236787, 236743, 236810, 236771, 1331, 1271, 7436, 573, 822, 2299, 900, 69589, 236829, 138, 108, 236772, 5213, 22843, 66307, 25402, 18120, 1018, 138, 107, 138, 246080, 568, 236819, 236770, 236819, 236768, 236743, 236819, 236825, 236778, 236772, 236778, 236800, 236812, 236810, 138, 107, 138, 240732, 808, 82502, 236787, 236743, 236778, 236771, 1331, 1271, 12010, 236764, 11554, 2557, 573, 32183, 236829, 138, 108, 236772, 5213, 818, 18245, 125649, 62367, 1018, 138, 107, 138, 246080, 568, 236819, 236770, 236819, 236768, 236743, 236819, 236778, 236819, 236772, 236778, 236832, 236778, 236832, 138, 107, 138, 195096, 808, 12055, 577, 45342, 1271, 1791, 573, 15189, 1441, 236764, 840, 9128, 768, 901, 735, 496, 12010, 2433, 236829, 138, 108, 2542, 496, 11554, 32183, 5975, 5395, 236764, 506, 5213, 22843, 66307, 25402, 18120, 1018, 563, 4547, 506, 1791, 4691, 573, 12010, 3213, 532, 2633, 2557, 236761, 21284, 611, 1133, 786, 531, 1601, 12262, 496, 22479, 2864, 4553, 653, 2246, 8948, 573, 1091, 236881, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1502, 614, 3489, 772, 7073, 531, 11723, 1041, 29503, 58775, 532, 44979, 3019, 236761, 3199, 611, 1601, 786, 1076, 872, 496, 7073, 28307, 98276, 41196, 532, 56183, 4106, 607, 496, 30997, 13822, 7715, 236881, 564, 236858, 236753, 1133, 531, 4087, 3736, 834, 564, 1281, 837, 19388, 114542, 1791, 607, 5103, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 7231, 50329, 236779, 15897, 236779, 80158, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 827, 623, 4818, 1083, 623, 5034, 827, 623, 4375, 1083, 623, 96550, 4464, 10428, 827, 623, 223205, 236779, 72579, 1083, 3714, 234863, 236779, 91873, 1083, 11058, 4976, 236767, 41196, 827, 623, 89354, 36580, 14255, 623, 188357, 1083, 11058, 123865, 34294, 827, 623, 12697, 44979, 827, 623, 1005, 755, 15653, 152254, 623, 51128, 1083, 236743, 236810, 236771, 236771, 236764, 623, 1896, 236779, 8572, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 23179, 623, 29263, 1083, 3714, 133319, 878, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 227295, 1083, 236743, 236800, 236778, 236771, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236778, 236812, 1807, 106, 107, 105, 4368, 107, 11069, 7073, 623, 7231, 50329, 236779, 15897, 236779, 80158, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 236775, 563, 1492, 5158, 236888, 5715, 236789, 236751, 496, 3823, 21385, 529, 822, 10884, 236787, 108, 244343, 5213, 10206, 522, 66515, 236743, 107, 236772, 73888, 236787, 98276, 41196, 833, 56183, 4106, 107, 236772, 140766, 236787, 125222, 34294, 236764, 2401, 44979, 236764, 28375, 15653, 108, 244314, 5213, 71653, 66515, 609, 236810, 236771, 236771, 236786, 11283, 568, 36817, 8881, 236768, 108, 249772, 5213, 52277, 116589, 1018, 568, 6005, 2297, 1473, 107, 236772, 232355, 236787, 236743, 236770, 236778, 236764, 236810, 236771, 236771, 568, 10328, 3505, 15520, 107, 236772, 565, 80185, 236787, 236743, 236800, 236778, 236771, 568, 21991, 7467, 15520, 107, 236772, 67292, 25870, 236787, 236743, 236778, 236761, 236812, 236908, 568, 46511, 1082, 4398, 573, 2263, 3019, 236768, 108, 38786, 611, 1133, 531, 236787, 107, 236770, 236761, 4987, 16789, 3736, 12496, 236881, 107, 236778, 236761, 46071, 837, 772, 15936, 659, 2844, 1791, 236881, 107, 236800, 236761, 35593, 28307, 653, 7715, 2721, 580, 1239, 2536, 236881, 236743, 108, 3048, 236789, 500, 1135, 531, 496, 3188, 1502, 753, 1724, 19455, 3600, 822, 19388, 659, 14271, 1194, 607, 10946, 48030, 528, 506, 3328, 4106, 236888, 236743, 242507, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 11327, 506, 772, 15936, 1171, 236761, 3199, 611, 18840, 837, 3530, 772, 139700, 568, 3871, 236764, 45774, 236764, 532, 29141, 236768, 659, 9204, 506, 1346, 44495, 532, 63680, 236881, 564, 236789, 236757, 23210, 768, 506, 58775, 236772, 41889, 19388, 659, 14980, 2480, 1082, 506, 2870, 44979, 5906, 236761, 9920, 692, 8701, 506, 1903, 236772, 68219, 4820, 236764, 1451, 692, 544, 58895, 236743, 236778, 236771, 236908, 529, 506, 7715, 8797, 1724, 1494, 236772, 68219, 772, 4402, 1651, 21494, 1023, 42442, 28307, 531, 3204, 16402, 6914, 236881, 564, 1461, 531, 4883, 1023, 1873, 2157, 236772, 721, 236772, 4513, 9286, 1651, 17154, 919, 3435, 5103, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 28263, 236779, 547, 1083, 623, 31378, 236772, 236778, 236771, 236778, 236800, 236770, 236770, 236771, 236812, 236772, 236770, 827, 623, 4818, 1083, 623, 40812, 827, 623, 3991, 236779, 906, 4853, 1083, 78493, 50694, 236779, 547, 1083, 623, 8560, 236772, 3158, 236799, 236772, 236771, 236771, 236770, 827, 623, 94156, 1083, 623, 16493, 224652, 8381, 753, 35303, 6156, 14132, 24616, 827, 623, 4513, 236779, 4720, 1083, 236743, 236812, 236761, 236828, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236778, 236761, 236770, 236764, 623, 133319, 878, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236771, 1263, 3714, 50694, 236779, 547, 1083, 623, 8560, 236772, 3158, 236799, 236772, 236771, 236770, 236778, 827, 623, 94156, 1083, 623, 107332, 224652, 573, 34050, 157625, 827, 623, 4513, 236779, 4720, 1083, 236743, 236800, 236761, 236819, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236828, 236764, 623, 133319, 878, 1083, 236743, 236819, 236828, 236771, 236771, 236771, 104960, 623, 32677, 236779, 88933, 1083, 3714, 7231, 50329, 236779, 10328, 1083, 3714, 4513, 236779, 4720, 1083, 236743, 236812, 236761, 236778, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236819, 1263, 623, 561, 12738, 236779, 10328, 1083, 3714, 4513, 236779, 4720, 1083, 236743, 236778, 236761, 236832, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236770, 5237, 623, 51128, 236779, 500, 87074, 236779, 85038, 567, 1083, 3714, 11480, 236779, 68219, 236779, 19243, 1083, 11058, 3158, 236799, 236772, 219532, 236772, 236771, 236770, 827, 623, 3158, 236799, 236772, 219532, 236772, 236771, 236812, 14255, 623, 62353, 236779, 70537, 1083, 236743, 236778, 236771, 236764, 623, 234863, 236779, 73522, 1083, 3714, 1951, 236779, 40674, 1083, 11058, 57295, 6914, 103581, 827, 623, 89354, 36580, 160114, 14255, 623, 6201, 524, 236779, 26358, 236779, 70537, 1083, 236743, 236800, 236832, 5237, 623, 236755, 10922, 236779, 70687, 1083, 3714, 4002, 236779, 18553, 236779, 236755, 10922, 1083, 236743, 236771, 236761, 236819, 236828, 236764, 623, 6201, 524, 236779, 236755, 10922, 1083, 236743, 236771, 236761, 236819, 236825, 236764, 623, 58578, 236779, 32248, 1083, 6443, 236756, 236771, 236771, 236763, 236770, 236771, 236761, 236771, 236800, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 25890, 529, 822, 772, 3736, 532, 18088, 15136, 236787, 108, 243594, 5213, 8534, 77790, 12024, 2031, 66515, 107, 236770, 236761, 5213, 8560, 236772, 3158, 236799, 236772, 236771, 236771, 236770, 1018, 138, 107, 139, 71510, 16493, 224652, 8381, 753, 35303, 6156, 14132, 24616, 147698, 138, 107, 139, 236772, 11738, 25870, 236787, 236743, 236812, 236761, 236828, 236908, 138, 107, 139, 236772, 67292, 25870, 236787, 236743, 236778, 236761, 236770, 236908, 138, 107, 139, 236772, 232355, 236787, 236743, 236770, 236810, 236778, 236764, 236771, 236771, 236771, 138, 108, 236778, 236761, 5213, 8560, 236772, 3158, 236799, 236772, 236771, 236770, 236778, 1018, 138, 107, 139, 71510, 107332, 224652, 573, 34050, 157625, 147698, 138, 107, 139, 236772, 11738, 25870, 236787, 236743, 236800, 236761, 236819, 236908, 138, 107, 139, 236772, 67292, 25870, 236787, 236743, 236770, 236761, 236828, 236908, 138, 107, 139, 236772, 232355, 236787, 236743, 236819, 236828, 236764, 236771, 236771, 236771, 138, 108, 246533, 5213, 52277, 36520, 66515, 138, 107, 236909, 2341, 9250, 143, 236909, 11738, 25870, 1109, 67292, 25870, 1109, 138, 107, 236909, 44042, 236909, 12857, 236909, 2819, 119434, 138, 107, 236909, 224652, 68160, 236909, 236743, 236812, 236761, 236778, 236908, 143, 236909, 236743, 236770, 236761, 236819, 236908, 148, 236909, 138, 107, 236909, 172176, 68160, 140, 236909, 236743, 236778, 236761, 236832, 236908, 143, 236909, 236743, 236770, 236761, 236770, 236908, 148, 236909, 138, 108, 1018, 3503, 98964, 66515, 224652, 236772, 41889, 19388, 112530, 2870, 44979, 19388, 684, 5213, 236810, 236810, 236908, 528, 4845, 3136, 1018, 532, 5213, 236832, 236778, 236908, 528, 14274, 3136, 84750, 108, 7243, 108, 1018, 77788, 91330, 66515, 138, 107, 236770, 236761, 5213, 71653, 1276, 87074, 66515, 138, 107, 139, 236772, 46532, 8559, 580, 1903, 236772, 68219, 772, 4402, 5213, 3158, 236799, 236772, 219532, 236772, 236771, 236770, 1018, 532, 5213, 3158, 236799, 236772, 219532, 236772, 236771, 236812, 1018, 684, 5213, 236778, 236771, 236908, 1018, 138, 107, 139, 236772, 75133, 1873, 609, 236810, 236771, 236771, 236786, 11283, 7715, 684, 13471, 3718, 236772, 68219, 20875, 138, 108, 236778, 236761, 5213, 8551, 9814, 81909, 66515, 138, 107, 139, 236772, 4140, 5213, 57295, 6914, 103581, 1018, 568, 17399, 774, 12726, 14133, 236768, 138, 107, 139, 236772, 84567, 56183, 28307, 531, 5213, 89354, 36580, 160114, 1018, 568, 11921, 25724, 44659, 14133, 236768, 138, 107, 139, 236772, 213162, 5370, 3553, 236787, 5213, 236800, 236832, 236908, 919, 3435, 5103, 1018, 138, 108, 236800, 236761, 5213, 208306, 71293, 66515, 138, 107, 139, 236772, 14040, 4398, 107964, 236787, 5213, 236795, 236771, 236761, 236819, 236828, 1018, 138, 107, 139, 236772, 213162, 107964, 1308, 3731, 236787, 5213, 236795, 236771, 236761, 236819, 236825, 1018, 568, 49426, 22820, 236795, 236771, 236761, 236771, 236800, 10805, 8448, 236768, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 41276, 1239, 3731, 11269, 236881, 138, 107, 236778, 236761, 8754, 611, 506, 26885, 7715, 5296, 236881, 138, 107, 236800, 236761, 8600, 861, 772, 15936, 2721, 580, 506, 1903, 236772, 68219, 9578, 4820, 236881, 138, 108, 818, 1262, 12117, 12765, 57390, 1679, 580, 58775, 236772, 15396, 39389, 1271, 822, 9998, 563, 8207, 35136, 531, 600, 36989, 236888, 236743, 250769, 239794, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 4144, 506, 3731, 11269, 531, 63740, 580, 506, 58775, 236772, 41889, 14700, 236761, 13677, 201585, 236764, 1451, 611, 1407, 786, 506, 26885, 7715, 5296, 3418, 506, 772, 4402, 532, 9128, 1217, 506, 16402, 6914, 10534, 19375, 1023, 2157, 236772, 721, 236772, 4513, 35719, 236881, 564, 236789, 236753, 992, 1133, 531, 3540, 506, 1903, 9578, 4820, 600, 166152, 1346, 607, 28675, 531, 8214, 3402, 772, 15936, 236761, 1174, 11906, 1133, 506, 1447, 38179, 531, 2171, 1041, 36989, 10946, 1960, 236888, 236743, 250769, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 7231, 50329, 236779, 15897, 236779, 80158, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 827, 623, 19217, 236779, 4818, 1083, 623, 10934, 827, 623, 25903, 236779, 51128, 236779, 87074, 1083, 3714, 553, 236779, 4043, 1083, 623, 3158, 236799, 236772, 219532, 236772, 236771, 236770, 827, 623, 1951, 236779, 51128, 1083, 236743, 236800, 236810, 236771, 236764, 623, 51128, 236779, 4177, 236779, 45118, 1083, 10955, 236770, 236778, 236761, 236810, 171446, 623, 236755, 10922, 236779, 87295, 236779, 62580, 1083, 3714, 5521, 236779, 236755, 10922, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 6201, 524, 236779, 236755, 10922, 236779, 4060, 236779, 73522, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236770, 1263, 623, 3991, 236779, 197319, 236779, 906, 4853, 1083, 78493, 50694, 236779, 547, 1083, 623, 6459, 236847, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236810, 827, 623, 31493, 1083, 11058, 123865, 34294, 827, 623, 12697, 58775, 7365, 827, 623, 1005, 755, 3107, 236772, 11303, 14255, 623, 92506, 236779, 4720, 1083, 623, 236770, 236828, 236761, 236832, 70887, 623, 69930, 236779, 4720, 1083, 623, 236812, 236761, 236778, 171446, 3714, 50694, 236779, 547, 1083, 623, 6459, 236847, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236819, 827, 623, 31493, 1083, 11058, 1005, 755, 15653, 827, 623, 14150, 2258, 33448, 827, 623, 142344, 1702, 1657, 14255, 623, 92506, 236779, 4720, 1083, 623, 236770, 236825, 236761, 236800, 70887, 623, 69930, 236779, 4720, 1083, 623, 236800, 236761, 236828, 236908, 25938, 1604, 623, 223205, 236779, 104094, 1083, 3714, 43505, 236779, 91873, 1083, 11058, 4976, 236767, 41196, 827, 623, 89354, 36580, 827, 623, 57295, 6914, 14255, 623, 21878, 236779, 75615, 1083, 11058, 123865, 34294, 827, 623, 12697, 44979, 827, 623, 1005, 755, 15653, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 90152, 7073, 4610, 25890, 236787, 108, 1018, 247211, 4769, 130523, 217555, 166605, 1018, 138, 107, 236772, 5213, 3158, 236799, 236772, 219532, 236772, 236771, 236770, 1018, 568, 8534, 236772, 68219, 58775, 2299, 1473, 5213, 236795, 236800, 236810, 236771, 236786, 11283, 1018, 568, 237454, 236770, 236778, 236761, 236810, 236908, 699, 3527, 25519, 236768, 138, 107, 236772, 167774, 609, 236770, 236810, 236771, 28606, 531, 39435, 772, 4402, 568, 159967, 573, 107964, 9286, 236768, 138, 108, 1018, 245353, 217234, 68906, 83215, 16244, 2059, 104090, 1018, 138, 107, 236772, 10116, 107964, 236787, 5213, 236795, 236771, 236761, 236828, 236810, 1018, 16130, 213162, 1868, 236772, 73522, 107964, 236787, 5213, 236795, 236771, 236761, 236819, 236778, 1018, 568, 49426, 20626, 2644, 236768, 138, 107, 236772, 115903, 6317, 573, 19360, 236787, 5213, 236828, 236770, 236908, 1018, 568, 22468, 21986, 529, 2157, 9286, 9626, 236768, 138, 108, 1018, 239794, 43337, 36517, 34592, 150809, 6760, 4769, 69764, 4927, 1018, 138, 107, 236770, 236761, 5213, 6459, 236847, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236810, 1018, 138, 107, 139, 236772, 24246, 236751, 236787, 17016, 236772, 11303, 529, 58775, 7365, 236786, 1005, 755, 4889, 138, 107, 139, 236772, 139517, 236787, 623, 4974, 12901, 83918, 236775, 900, 623, 16493, 1657, 236775, 138, 107, 139, 236772, 19791, 236787, 236743, 236770, 236828, 236761, 236832, 236908, 15154, 236764, 236743, 236812, 236761, 236778, 236908, 14274, 138, 108, 236778, 236761, 5213, 6459, 236847, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236819, 1018, 138, 107, 139, 236772, 24246, 236751, 236787, 18769, 2258, 140918, 900, 1702, 1657, 62325, 138, 107, 139, 236772, 139517, 236787, 623, 33076, 1662, 28375, 15653, 236775, 3213, 138, 107, 139, 236772, 19791, 236787, 236743, 236770, 236825, 236761, 236800, 236908, 15154, 236764, 236743, 236800, 236761, 236828, 236908, 14274, 138, 108, 1018, 244343, 69890, 2850, 45816, 136236, 4376, 1018, 138, 107, 100367, 531, 3204, 5213, 57295, 6914, 103581, 1018, 1651, 44257, 98276, 41196, 236786, 89354, 36580, 3213, 236761, 21632, 28307, 7474, 13678, 236772, 41889, 580, 10946, 48030, 236761, 138, 108, 96550, 30981, 659, 1492, 3892, 236888, 5180, 58775, 36989, 7545, 563, 24968, 130212, 1271, 1724, 1494, 236772, 92506, 9578, 4820, 795, 577, 124406, 528, 861, 772, 15936, 236761, 21284, 611, 1133, 786, 531, 2619, 4767, 15936, 1699, 1239, 14810, 23602, 236881, 236743, 250769, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1502, 614, 3489, 772, 7073, 531, 11723, 1041, 29503, 58775, 532, 44979, 3019, 236761, 3199, 611, 1601, 786, 1076, 872, 496, 7073, 28307, 98276, 41196, 532, 56183, 4106, 607, 496, 30997, 13822, 7715, 236881, 564, 236858, 236753, 1133, 531, 4087, 3736, 834, 564, 1281, 837, 19388, 114542, 1791, 607, 5103, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 7231, 50329, 236779, 15897, 236779, 80158, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 827, 623, 4818, 1083, 623, 5034, 827, 623, 4375, 1083, 623, 96550, 4464, 10428, 827, 623, 223205, 236779, 72579, 1083, 3714, 234863, 236779, 91873, 1083, 11058, 4976, 236767, 41196, 827, 623, 89354, 36580, 14255, 623, 188357, 1083, 11058, 123865, 34294, 827, 623, 12697, 44979, 827, 623, 1005, 755, 15653, 152254, 623, 51128, 1083, 236743, 236810, 236771, 236771, 236764, 623, 1896, 236779, 8572, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236770, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236770, 23179, 623, 29263, 1083, 3714, 133319, 878, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 227295, 1083, 236743, 236800, 236778, 236771, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236778, 236812, 1807, 106, 107, 105, 4368, 107, 11069, 7073, 623, 7231, 50329, 236779, 15897, 236779, 80158, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 236775, 563, 1492, 5158, 236888, 5715, 236789, 236751, 496, 3823, 21385, 529, 822, 10884, 236787, 108, 244343, 5213, 10206, 522, 66515, 236743, 107, 236772, 73888, 236787, 98276, 41196, 833, 56183, 4106, 107, 236772, 140766, 236787, 125222, 34294, 236764, 2401, 44979, 236764, 28375, 15653, 108, 244314, 5213, 71653, 66515, 609, 236810, 236771, 236771, 236786, 11283, 568, 36817, 8881, 236768, 108, 249772, 5213, 52277, 116589, 1018, 568, 6005, 2297, 1473, 107, 236772, 232355, 236787, 236743, 236770, 236778, 236764, 236810, 236771, 236771, 568, 10328, 3505, 15520, 107, 236772, 565, 80185, 236787, 236743, 236800, 236778, 236771, 568, 21991, 7467, 15520, 107, 236772, 67292, 25870, 236787, 236743, 236778, 236761, 236812, 236908, 568, 46511, 1082, 4398, 573, 2263, 3019, 236768, 108, 38786, 611, 1133, 531, 236787, 107, 236770, 236761, 4987, 16789, 3736, 12496, 236881, 107, 236778, 236761, 46071, 837, 772, 15936, 659, 2844, 1791, 236881, 107, 236800, 236761, 35593, 28307, 653, 7715, 2721, 580, 1239, 2536, 236881, 236743, 108, 3048, 236789, 500, 1135, 531, 496, 3188, 1502, 753, 1724, 19455, 3600, 822, 19388, 659, 14271, 1194, 607, 10946, 48030, 528, 506, 3328, 4106, 236888, 236743, 242507, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 11327, 506, 772, 15936, 1171, 236761, 3199, 611, 18840, 837, 3530, 772, 139700, 568, 3871, 236764, 45774, 236764, 532, 29141, 236768, 659, 9204, 506, 1346, 44495, 532, 63680, 236881, 564, 236789, 236757, 23210, 768, 506, 58775, 236772, 41889, 19388, 659, 14980, 2480, 1082, 506, 2870, 44979, 5906, 236761, 9920, 692, 8701, 506, 1903, 236772, 68219, 4820, 236764, 1451, 692, 544, 58895, 236743, 236778, 236771, 236908, 529, 506, 7715, 8797, 1724, 1494, 236772, 68219, 772, 4402, 1651, 21494, 1023, 42442, 28307, 531, 3204, 16402, 6914, 236881, 564, 1461, 531, 4883, 1023, 1873, 2157, 236772, 721, 236772, 4513, 9286, 1651, 17154, 919, 3435, 5103, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 28263, 236779, 547, 1083, 623, 31378, 236772, 236778, 236771, 236778, 236800, 236770, 236770, 236771, 236812, 236772, 236770, 827, 623, 4818, 1083, 623, 40812, 827, 623, 3991, 236779, 906, 4853, 1083, 78493, 50694, 236779, 547, 1083, 623, 8560, 236772, 3158, 236799, 236772, 236771, 236771, 236770, 827, 623, 94156, 1083, 623, 16493, 224652, 8381, 753, 35303, 6156, 14132, 24616, 827, 623, 4513, 236779, 4720, 1083, 236743, 236812, 236761, 236828, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236778, 236761, 236770, 236764, 623, 133319, 878, 1083, 236743, 236770, 236810, 236778, 236771, 236771, 236771, 1263, 3714, 50694, 236779, 547, 1083, 623, 8560, 236772, 3158, 236799, 236772, 236771, 236770, 236778, 827, 623, 94156, 1083, 623, 107332, 224652, 573, 34050, 157625, 827, 623, 4513, 236779, 4720, 1083, 236743, 236800, 236761, 236819, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236828, 236764, 623, 133319, 878, 1083, 236743, 236819, 236828, 236771, 236771, 236771, 104960, 623, 32677, 236779, 88933, 1083, 3714, 7231, 50329, 236779, 10328, 1083, 3714, 4513, 236779, 4720, 1083, 236743, 236812, 236761, 236778, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236819, 1263, 623, 561, 12738, 236779, 10328, 1083, 3714, 4513, 236779, 4720, 1083, 236743, 236778, 236761, 236832, 236764, 623, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236770, 5237, 623, 51128, 236779, 500, 87074, 236779, 85038, 567, 1083, 3714, 11480, 236779, 68219, 236779, 19243, 1083, 11058, 3158, 236799, 236772, 219532, 236772, 236771, 236770, 827, 623, 3158, 236799, 236772, 219532, 236772, 236771, 236812, 14255, 623, 62353, 236779, 70537, 1083, 236743, 236778, 236771, 236764, 623, 234863, 236779, 73522, 1083, 3714, 1951, 236779, 40674, 1083, 11058, 57295, 6914, 103581, 827, 623, 89354, 36580, 160114, 14255, 623, 6201, 524, 236779, 26358, 236779, 70537, 1083, 236743, 236800, 236832, 5237, 623, 236755, 10922, 236779, 70687, 1083, 3714, 4002, 236779, 18553, 236779, 236755, 10922, 1083, 236743, 236771, 236761, 236819, 236828, 236764, 623, 6201, 524, 236779, 236755, 10922, 1083, 236743, 236771, 236761, 236819, 236825, 236764, 623, 58578, 236779, 32248, 1083, 6443, 236756, 236771, 236771, 236763, 236770, 236771, 236761, 236771, 236800, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 25890, 529, 822, 772, 3736, 532, 18088, 15136, 236787, 108, 243594, 5213, 8534, 77790, 12024, 2031, 66515, 107, 236770, 236761, 5213, 8560, 236772, 3158, 236799, 236772, 236771, 236771, 236770, 1018, 138, 107, 139, 71510, 16493, 224652, 8381, 753, 35303, 6156, 14132, 24616, 147698, 138, 107, 139, 236772, 11738, 25870, 236787, 236743, 236812, 236761, 236828, 236908, 138, 107, 139, 236772, 67292, 25870, 236787, 236743, 236778, 236761, 236770, 236908, 138, 107, 139, 236772, 232355, 236787, 236743, 236770, 236810, 236778, 236764, 236771, 236771, 236771, 138, 108, 236778, 236761, 5213, 8560, 236772, 3158, 236799, 236772, 236771, 236770, 236778, 1018, 138, 107, 139, 71510, 107332, 224652, 573, 34050, 157625, 147698, 138, 107, 139, 236772, 11738, 25870, 236787, 236743, 236800, 236761, 236819, 236908, 138, 107, 139, 236772, 67292, 25870, 236787, 236743, 236770, 236761, 236828, 236908, 138, 107, 139, 236772, 232355, 236787, 236743, 236819, 236828, 236764, 236771, 236771, 236771, 138, 108, 246533, 5213, 52277, 36520, 66515, 138, 107, 236909, 2341, 9250, 143, 236909, 11738, 25870, 1109, 67292, 25870, 1109, 138, 107, 236909, 44042, 236909, 12857, 236909, 2819, 119434, 138, 107, 236909, 224652, 68160, 236909, 236743, 236812, 236761, 236778, 236908, 143, 236909, 236743, 236770, 236761, 236819, 236908, 148, 236909, 138, 107, 236909, 172176, 68160, 140, 236909, 236743, 236778, 236761, 236832, 236908, 143, 236909, 236743, 236770, 236761, 236770, 236908, 148, 236909, 138, 108, 1018, 3503, 98964, 66515, 224652, 236772, 41889, 19388, 112530, 2870, 44979, 19388, 684, 5213, 236810, 236810, 236908, 528, 4845, 3136, 1018, 532, 5213, 236832, 236778, 236908, 528, 14274, 3136, 84750, 108, 7243, 108, 1018, 77788, 91330, 66515, 138, 107, 236770, 236761, 5213, 71653, 1276, 87074, 66515, 138, 107, 139, 236772, 46532, 8559, 580, 1903, 236772, 68219, 772, 4402, 5213, 3158, 236799, 236772, 219532, 236772, 236771, 236770, 1018, 532, 5213, 3158, 236799, 236772, 219532, 236772, 236771, 236812, 1018, 684, 5213, 236778, 236771, 236908, 1018, 138, 107, 139, 236772, 75133, 1873, 609, 236810, 236771, 236771, 236786, 11283, 7715, 684, 13471, 3718, 236772, 68219, 20875, 138, 108, 236778, 236761, 5213, 8551, 9814, 81909, 66515, 138, 107, 139, 236772, 4140, 5213, 57295, 6914, 103581, 1018, 568, 17399, 774, 12726, 14133, 236768, 138, 107, 139, 236772, 84567, 56183, 28307, 531, 5213, 89354, 36580, 160114, 1018, 568, 11921, 25724, 44659, 14133, 236768, 138, 107, 139, 236772, 213162, 5370, 3553, 236787, 5213, 236800, 236832, 236908, 919, 3435, 5103, 1018, 138, 108, 236800, 236761, 5213, 208306, 71293, 66515, 138, 107, 139, 236772, 14040, 4398, 107964, 236787, 5213, 236795, 236771, 236761, 236819, 236828, 1018, 138, 107, 139, 236772, 213162, 107964, 1308, 3731, 236787, 5213, 236795, 236771, 236761, 236819, 236825, 1018, 568, 49426, 22820, 236795, 236771, 236761, 236771, 236800, 10805, 8448, 236768, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 41276, 1239, 3731, 11269, 236881, 138, 107, 236778, 236761, 8754, 611, 506, 26885, 7715, 5296, 236881, 138, 107, 236800, 236761, 8600, 861, 772, 15936, 2721, 580, 506, 1903, 236772, 68219, 9578, 4820, 236881, 138, 108, 818, 1262, 12117, 12765, 57390, 1679, 580, 58775, 236772, 15396, 39389, 1271, 822, 9998, 563, 8207, 35136, 531, 600, 36989, 236888, 236743, 250769, 239794, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 4144, 506, 3731, 11269, 531, 63740, 580, 506, 58775, 236772, 41889, 14700, 236761, 13677, 201585, 236764, 1451, 611, 1407, 786, 506, 26885, 7715, 5296, 3418, 506, 772, 4402, 532, 9128, 1217, 506, 16402, 6914, 10534, 19375, 1023, 2157, 236772, 721, 236772, 4513, 35719, 236881, 564, 236789, 236753, 992, 1133, 531, 3540, 506, 1903, 9578, 4820, 600, 166152, 1346, 607, 28675, 531, 8214, 3402, 772, 15936, 236761, 1174, 11906, 1133, 506, 1447, 38179, 531, 2171, 1041, 36989, 10946, 1960, 236888, 236743, 250769, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 7231, 50329, 236779, 15897, 236779, 80158, 236779, 236778, 236771, 236778, 236800, 236770, 236770, 827, 623, 19217, 236779, 4818, 1083, 623, 10934, 827, 623, 25903, 236779, 51128, 236779, 87074, 1083, 3714, 553, 236779, 4043, 1083, 623, 3158, 236799, 236772, 219532, 236772, 236771, 236770, 827, 623, 1951, 236779, 51128, 1083, 236743, 236800, 236810, 236771, 236764, 623, 51128, 236779, 4177, 236779, 45118, 1083, 10955, 236770, 236778, 236761, 236810, 171446, 623, 236755, 10922, 236779, 87295, 236779, 62580, 1083, 3714, 5521, 236779, 236755, 10922, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 6201, 524, 236779, 236755, 10922, 236779, 4060, 236779, 73522, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236828, 236770, 1263, 623, 3991, 236779, 197319, 236779, 906, 4853, 1083, 78493, 50694, 236779, 547, 1083, 623, 6459, 236847, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236810, 827, 623, 31493, 1083, 11058, 123865, 34294, 827, 623, 12697, 58775, 7365, 827, 623, 1005, 755, 3107, 236772, 11303, 14255, 623, 92506, 236779, 4720, 1083, 623, 236770, 236828, 236761, 236832, 70887, 623, 69930, 236779, 4720, 1083, 623, 236812, 236761, 236778, 171446, 3714, 50694, 236779, 547, 1083, 623, 6459, 236847, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236819, 827, 623, 31493, 1083, 11058, 1005, 755, 15653, 827, 623, 14150, 2258, 33448, 827, 623, 142344, 1702, 1657, 14255, 623, 92506, 236779, 4720, 1083, 623, 236770, 236825, 236761, 236800, 70887, 623, 69930, 236779, 4720, 1083, 623, 236800, 236761, 236828, 236908, 25938, 1604, 623, 223205, 236779, 104094, 1083, 3714, 43505, 236779, 91873, 1083, 11058, 4976, 236767, 41196, 827, 623, 89354, 36580, 827, 623, 57295, 6914, 14255, 623, 21878, 236779, 75615, 1083, 11058, 123865, 34294, 827, 623, 12697, 44979, 827, 623, 1005, 755, 15653, 1935, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 90152, 7073, 4610, 25890, 236787, 108, 1018, 247211, 4769, 130523, 217555, 166605, 1018, 138, 107, 236772, 5213, 3158, 236799, 236772, 219532, 236772, 236771, 236770, 1018, 568, 8534, 236772, 68219, 58775, 2299, 1473, 5213, 236795, 236800, 236810, 236771, 236786, 11283, 1018, 568, 237454, 236770, 236778, 236761, 236810, 236908, 699, 3527, 25519, 236768, 138, 107, 236772, 167774, 609, 236770, 236810, 236771, 28606, 531, 39435, 772, 4402, 568, 159967, 573, 107964, 9286, 236768, 138, 108, 1018, 245353, 217234, 68906, 83215, 16244, 2059, 104090, 1018, 138, 107, 236772, 10116, 107964, 236787, 5213, 236795, 236771, 236761, 236828, 236810, 1018, 16130, 213162, 1868, 236772, 73522, 107964, 236787, 5213, 236795, 236771, 236761, 236819, 236778, 1018, 568, 49426, 20626, 2644, 236768, 138, 107, 236772, 115903, 6317, 573, 19360, 236787, 5213, 236828, 236770, 236908, 1018, 568, 22468, 21986, 529, 2157, 9286, 9626, 236768, 138, 108, 1018, 239794, 43337, 36517, 34592, 150809, 6760, 4769, 69764, 4927, 1018, 138, 107, 236770, 236761, 5213, 6459, 236847, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236812, 236810, 1018, 138, 107, 139, 236772, 24246, 236751, 236787, 17016, 236772, 11303, 529, 58775, 7365, 236786, 1005, 755, 4889, 138, 107, 139, 236772, 139517, 236787, 623, 4974, 12901, 83918, 236775, 900, 623, 16493, 1657, 236775, 138, 107, 139, 236772, 19791, 236787, 236743, 236770, 236828, 236761, 236832, 236908, 15154, 236764, 236743, 236812, 236761, 236778, 236908, 14274, 138, 108, 236778, 236761, 5213, 6459, 236847, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236800, 236819, 1018, 138, 107, 139, 236772, 24246, 236751, 236787, 18769, 2258, 140918, 900, 1702, 1657, 62325, 138, 107, 139, 236772, 139517, 236787, 623, 33076, 1662, 28375, 15653, 236775, 3213, 138, 107, 139, 236772, 19791, 236787, 236743, 236770, 236825, 236761, 236800, 236908, 15154, 236764, 236743, 236800, 236761, 236828, 236908, 14274, 138, 108, 1018, 244343, 69890, 2850, 45816, 136236, 4376, 1018, 138, 107, 100367, 531, 3204, 5213, 57295, 6914, 103581, 1018, 1651, 44257, 98276, 41196, 236786, 89354, 36580, 3213, 236761, 21632, 28307, 7474, 13678, 236772, 41889, 580, 10946, 48030, 236761, 138, 108, 96550, 30981, 659, 1492, 3892, 236888, 5180, 58775, 36989, 7545, 563, 24968, 130212, 1271, 1724, 1494, 236772, 92506, 9578, 4820, 795, 577, 124406, 528, 861, 772, 15936, 236761, 21284, 611, 1133, 786, 531, 2619, 4767, 15936, 1699, 1239, 14810, 23602, 236881, 236743, 250769, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1586, 1610, 6429, 144152, 3530, 531, 34499, 129379, 9226, 4852, 532, 1299, 2426, 4889, 580, 496, 16939, 1698, 236761, 5315, 236764, 5957, 144152, 684, 5058, 756, 661, 236789, 532, 1722, 756, 162890, 129379, 23060, 34294, 236789, 531, 1460, 2487, 3835, 236761, 4298, 236764, 1699, 886, 1698, 5853, 699, 506, 2536, 236764, 12270, 1061, 2587, 4889, 2440, 15830, 236761, 9996, 2889, 506, 3938, 5132, 1800, 506, 24271, 93193, 1694, 532, 506, 3530, 1698, 1938, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41028, 236779, 47724, 50914, 1083, 78493, 5930, 236779, 547, 1083, 623, 7719, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236776, 827, 623, 1201, 1083, 623, 162890, 129379, 28917, 36903, 15806, 827, 623, 19099, 1083, 623, 661, 827, 623, 2084, 1083, 623, 162890, 129379, 23060, 34294, 827, 623, 56905, 1083, 623, 236770, 236810, 236771, 6630, 2487, 827, 623, 7125, 1083, 623, 23243, 22424, 236764, 9206, 23179, 3714, 5930, 236779, 547, 1083, 623, 7719, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236799, 827, 623, 1201, 1083, 623, 63190, 16585, 525, 3271, 4585, 77245, 37058, 827, 623, 19099, 1083, 623, 661, 827, 623, 2084, 1083, 623, 162890, 129379, 23060, 34294, 827, 623, 56905, 1083, 623, 236828, 236810, 6630, 2487, 827, 623, 7125, 1083, 623, 236791, 20073, 236764, 9206, 25938, 1604, 623, 52809, 236779, 5930, 236779, 547, 1083, 623, 7719, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236776, 827, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 7719, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236776, 827, 623, 1201, 1083, 623, 162890, 129379, 28917, 36903, 15806, 827, 623, 56905, 1083, 623, 902, 2862, 827, 623, 13308, 1083, 623, 63190, 1610, 14767, 573, 68632, 168929, 554, 2580, 23966, 532, 7681, 236772, 68122, 31851, 236761, 49308, 236743, 236770, 236771, 35740, 42145, 236764, 236743, 236800, 57228, 236764, 532, 496, 12002, 56412, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 236787, 108, 1018, 75403, 4585, 30510, 23097, 50914, 568, 162890, 129379, 28917, 85091, 1473, 1018, 107, 236770, 236761, 5213, 7163, 5853, 53121, 157633, 236772, 236778, 236771, 236778, 236810, 236772, 236776, 138, 107, 139, 1018, 1567, 53121, 34499, 129379, 28917, 36903, 15806, 138, 107, 139, 1018, 51164, 53121, 236743, 236770, 236810, 236771, 6630, 2487, 138, 107, 139, 1018, 6375, 53121, 5054, 22424, 236764, 9206, 138, 108, 236778, 236761, 5213, 7163, 5853, 53121, 157633, 236772, 236778, 236771, 236778, 236810, 236772, 236799, 138, 107, 139, 1018, 1567, 53121, 43899, 16585, 525, 3271, 4585, 77245, 37058, 138, 107, 139, 1018, 51164, 53121, 236743, 236828, 236810, 6630, 2487, 138, 107, 139, 1018, 6375, 53121, 170189, 236764, 9206, 138, 108, 1018, 83917, 7303, 20303, 568, 7719, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236776, 1473, 1018, 138, 107, 236772, 5213, 51164, 53121, 799, 2862, 138, 107, 236772, 5213, 9770, 53121, 49308, 6672, 1610, 14767, 573, 68632, 168929, 554, 2580, 23966, 532, 7681, 236772, 68122, 31851, 236761, 138, 107, 236772, 5213, 23279, 53121, 236743, 236770, 236771, 35740, 42145, 236764, 236743, 236800, 57228, 236764, 532, 496, 12002, 56412, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 10686, 607, 4658, 1663, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1461, 531, 1586, 1610, 6429, 144152, 3530, 531, 34499, 129379, 9226, 4852, 532, 1299, 2426, 4889, 580, 496, 16939, 1698, 236761, 5315, 236764, 5957, 144152, 684, 5058, 756, 661, 236789, 532, 1722, 756, 162890, 129379, 23060, 34294, 236789, 531, 1460, 2487, 3835, 236761, 4298, 236764, 1699, 886, 1698, 5853, 699, 506, 2536, 236764, 12270, 1061, 2587, 4889, 2440, 15830, 236761, 9996, 2889, 506, 3938, 5132, 1800, 506, 24271, 93193, 1694, 532, 506, 3530, 1698, 1938, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41028, 236779, 47724, 50914, 1083, 78493, 5930, 236779, 547, 1083, 623, 7719, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236776, 827, 623, 1201, 1083, 623, 162890, 129379, 28917, 36903, 15806, 827, 623, 19099, 1083, 623, 661, 827, 623, 2084, 1083, 623, 162890, 129379, 23060, 34294, 827, 623, 56905, 1083, 623, 236770, 236810, 236771, 6630, 2487, 827, 623, 7125, 1083, 623, 23243, 22424, 236764, 9206, 23179, 3714, 5930, 236779, 547, 1083, 623, 7719, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236799, 827, 623, 1201, 1083, 623, 63190, 16585, 525, 3271, 4585, 77245, 37058, 827, 623, 19099, 1083, 623, 661, 827, 623, 2084, 1083, 623, 162890, 129379, 23060, 34294, 827, 623, 56905, 1083, 623, 236828, 236810, 6630, 2487, 827, 623, 7125, 1083, 623, 236791, 20073, 236764, 9206, 25938, 1604, 623, 52809, 236779, 5930, 236779, 547, 1083, 623, 7719, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236776, 827, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 7719, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236776, 827, 623, 1201, 1083, 623, 162890, 129379, 28917, 36903, 15806, 827, 623, 56905, 1083, 623, 902, 2862, 827, 623, 13308, 1083, 623, 63190, 1610, 14767, 573, 68632, 168929, 554, 2580, 23966, 532, 7681, 236772, 68122, 31851, 236761, 49308, 236743, 236770, 236771, 35740, 42145, 236764, 236743, 236800, 57228, 236764, 532, 496, 12002, 56412, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 236787, 108, 1018, 75403, 4585, 30510, 23097, 50914, 568, 162890, 129379, 28917, 85091, 1473, 1018, 107, 236770, 236761, 5213, 7163, 5853, 53121, 157633, 236772, 236778, 236771, 236778, 236810, 236772, 236776, 138, 107, 139, 1018, 1567, 53121, 34499, 129379, 28917, 36903, 15806, 138, 107, 139, 1018, 51164, 53121, 236743, 236770, 236810, 236771, 6630, 2487, 138, 107, 139, 1018, 6375, 53121, 5054, 22424, 236764, 9206, 138, 108, 236778, 236761, 5213, 7163, 5853, 53121, 157633, 236772, 236778, 236771, 236778, 236810, 236772, 236799, 138, 107, 139, 1018, 1567, 53121, 43899, 16585, 525, 3271, 4585, 77245, 37058, 138, 107, 139, 1018, 51164, 53121, 236743, 236828, 236810, 6630, 2487, 138, 107, 139, 1018, 6375, 53121, 170189, 236764, 9206, 138, 108, 1018, 83917, 7303, 20303, 568, 7719, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236776, 1473, 1018, 138, 107, 236772, 5213, 51164, 53121, 799, 2862, 138, 107, 236772, 5213, 9770, 53121, 49308, 6672, 1610, 14767, 573, 68632, 168929, 554, 2580, 23966, 532, 7681, 236772, 68122, 31851, 236761, 138, 107, 236772, 5213, 23279, 53121, 236743, 236770, 236771, 35740, 42145, 236764, 236743, 236800, 57228, 236764, 532, 496, 12002, 56412, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 10686, 607, 4658, 1663, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 52811, 1041, 236743, 236770, 236819, 236825, 236832, 16103, 80817, 532, 1202, 531, 1586, 496, 166260, 236761, 3199, 611, 1601, 786, 1385, 872, 1070, 3835, 573, 672, 912, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 11058, 236770, 236819, 236825, 236832, 16103, 80817, 236743, 236778, 236828, 236819, 166260, 827, 623, 27258, 2624, 236743, 236812, 236770, 236810, 236771, 166260, 573, 236743, 236770, 236819, 236825, 236832, 80817, 827, 623, 52111, 236743, 236800, 236819, 236771, 166260, 4688, 827, 623, 30498, 236743, 236770, 236819, 236825, 236832, 80817, 166260, 14268, 827, 623, 39642, 12033, 236743, 236778, 236770, 236810, 236771, 166260, 99471, 106, 107, 105, 4368, 107, 236777, 1765, 3131, 166260, 3835, 573, 822, 236743, 236770, 236819, 236825, 236832, 16103, 80817, 2721, 580, 506, 3927, 236761, 5715, 659, 506, 1903, 19205, 236787, 108, 236770, 236761, 5213, 236770, 236819, 236825, 236832, 16103, 80817, 236743, 236778, 236828, 236819, 166260, 1018, 138, 107, 236778, 236761, 5213, 27258, 2624, 236743, 236812, 236770, 236810, 236771, 166260, 573, 236743, 236770, 236819, 236825, 236832, 80817, 1018, 138, 107, 236800, 236761, 5213, 52111, 236743, 236800, 236819, 236771, 166260, 4688, 1018, 138, 107, 236812, 236761, 5213, 30498, 236743, 236770, 236819, 236825, 236832, 80817, 166260, 14268, 1018, 138, 107, 236810, 236761, 5213, 39642, 12033, 236743, 236778, 236770, 236810, 236771, 166260, 1018, 138, 108, 9208, 659, 3364, 912, 5618, 1456, 528, 9760, 80817, 24037, 236761, 1599, 740, 1161, 1239, 29141, 531, 3927, 573, 3530, 25684, 653, 2426, 37031, 607, 822, 3958, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 4658, 1663, 236888, 103453, 106, 107, 105, 2364, 107, 8574, 611, 1586, 506, 4453, 912, 1548, 573, 506, 5677, 2624, 236743, 236812, 236770, 236810, 236771, 166260, 600, 19009, 496, 236743, 236770, 236819, 236825, 236832, 80817, 236743, 236778, 236828, 236819, 3958, 236881, 564, 1202, 531, 9128, 625, 1680, 24121, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 31170, 236772, 15396, 912, 1548, 34438, 1343, 506, 1873, 6436, 236761, 3551, 2487, 6436, 659, 5809, 531, 2870, 4188, 1385, 11303, 568, 15218, 62610, 589, 9299, 607, 3224, 62606, 779, 69941, 2290, 4852, 236764, 532, 1032, 1908, 236772, 36473, 18514, 5151, 236761, 1701, 18997, 166260, 912, 4945, 236764, 564, 5840, 236787, 108, 236770, 236761, 81573, 5677, 2624, 236789, 236751, 5125, 13049, 653, 4688, 23191, 568, 236744, 236761, 236759, 1126, 5677, 2624, 912, 1548, 5213, 236771, 236772, 236812, 236812, 236770, 236778, 1018, 563, 14003, 1456, 573, 236743, 236812, 236770, 236810, 236771, 3605, 24685, 70417, 913, 580, 236743, 236770, 236819, 236825, 236832, 80817, 236743, 236778, 236828, 236819, 18362, 236764, 840, 16807, 37031, 607, 822, 3530, 10884, 236768, 107, 236778, 236761, 49501, 31170, 4688, 30835, 1133, 36459, 26587, 236764, 69659, 236751, 236764, 653, 496, 2263, 80817, 24037, 7805, 107, 236800, 236761, 10352, 496, 11554, 31170, 4688, 7948, 568, 236744, 236761, 236759, 1126, 10373, 10762, 236764, 646, 89176, 14297, 44919, 236768, 108, 38786, 611, 1133, 1601, 607, 4658, 1663, 4596, 531, 822, 24037, 2203, 236881, 103453, 106, 107, 105, 2364, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 31170, 236772, 15396, 34438, 653, 912, 1548, 1938, 1343, 506, 1873, 6436, 236761, 1701, 18997, 166260, 912, 4945, 236764, 564, 5840, 16329, 5677, 2624, 236789, 236751, 5125, 13049, 236764, 57416, 496, 80817, 24037, 20727, 236764, 653, 1699, 26576, 31170, 4688, 25684, 1133, 36459, 26587, 653, 10373, 10762, 236761, 2195, 740, 16807, 37031, 607, 822, 3530, 236743, 236778, 236828, 236819, 3958, 10884, 236761, 21284, 611, 1133, 1601, 607, 4658, 1663, 4596, 531, 822, 24037, 2203, 236881, 103453, 106, 107, 105, 4368, 107, 10784, 236764, 600, 236789, 236751, 4338, 237028, 236777, 1537, 236789, 236745, 735, 2802, 531, 31170, 236772, 15396, 34438, 653, 912, 1548, 1938, 1343, 1041, 1873, 6436, 236761, 3153, 236764, 564, 740, 1601, 607, 1032, 10217, 529, 822, 80817, 24037, 2203, 236764, 1288, 618, 236787, 138, 107, 236772, 5884, 912, 15136, 568, 236744, 236761, 236759, 1126, 623, 3689, 659, 3364, 24037, 6555, 573, 496, 236743, 236770, 236819, 236825, 236832, 80817, 98718, 138, 107, 236772, 10645, 236772, 36473, 18514, 9395, 1133, 31236, 14906, 236764, 16329, 3658, 5082, 236764, 653, 67931, 69941, 4188, 4889, 138, 107, 236772, 3647, 3651, 611, 531, 26576, 31170, 5405, 568, 236744, 236761, 236759, 1126, 5677, 2624, 236789, 236751, 5125, 23191, 9851, 653, 36459, 26587, 236789, 236751, 912, 38485, 5904, 236768, 138, 108, 6481, 786, 1281, 1217, 564, 740, 6361, 611, 3342, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 52811, 1041, 236743, 236770, 236819, 236825, 236832, 16103, 80817, 532, 1202, 531, 1586, 496, 166260, 236761, 3199, 611, 1601, 786, 1385, 872, 1070, 3835, 573, 672, 912, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 11058, 236770, 236819, 236825, 236832, 16103, 80817, 236743, 236778, 236828, 236819, 166260, 827, 623, 27258, 2624, 236743, 236812, 236770, 236810, 236771, 166260, 573, 236743, 236770, 236819, 236825, 236832, 80817, 827, 623, 52111, 236743, 236800, 236819, 236771, 166260, 4688, 827, 623, 30498, 236743, 236770, 236819, 236825, 236832, 80817, 166260, 14268, 827, 623, 39642, 12033, 236743, 236778, 236770, 236810, 236771, 166260, 99471, 106, 107, 105, 4368, 107, 236777, 1765, 3131, 166260, 3835, 573, 822, 236743, 236770, 236819, 236825, 236832, 16103, 80817, 2721, 580, 506, 3927, 236761, 5715, 659, 506, 1903, 19205, 236787, 108, 236770, 236761, 5213, 236770, 236819, 236825, 236832, 16103, 80817, 236743, 236778, 236828, 236819, 166260, 1018, 138, 107, 236778, 236761, 5213, 27258, 2624, 236743, 236812, 236770, 236810, 236771, 166260, 573, 236743, 236770, 236819, 236825, 236832, 80817, 1018, 138, 107, 236800, 236761, 5213, 52111, 236743, 236800, 236819, 236771, 166260, 4688, 1018, 138, 107, 236812, 236761, 5213, 30498, 236743, 236770, 236819, 236825, 236832, 80817, 166260, 14268, 1018, 138, 107, 236810, 236761, 5213, 39642, 12033, 236743, 236778, 236770, 236810, 236771, 166260, 1018, 138, 108, 9208, 659, 3364, 912, 5618, 1456, 528, 9760, 80817, 24037, 236761, 1599, 740, 1161, 1239, 29141, 531, 3927, 573, 3530, 25684, 653, 2426, 37031, 607, 822, 3958, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 1601, 607, 4658, 1663, 236888, 103453, 106, 107, 105, 2364, 107, 8574, 611, 1586, 506, 4453, 912, 1548, 573, 506, 5677, 2624, 236743, 236812, 236770, 236810, 236771, 166260, 600, 19009, 496, 236743, 236770, 236819, 236825, 236832, 80817, 236743, 236778, 236828, 236819, 3958, 236881, 564, 1202, 531, 9128, 625, 1680, 24121, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 31170, 236772, 15396, 912, 1548, 34438, 1343, 506, 1873, 6436, 236761, 3551, 2487, 6436, 659, 5809, 531, 2870, 4188, 1385, 11303, 568, 15218, 62610, 589, 9299, 607, 3224, 62606, 779, 69941, 2290, 4852, 236764, 532, 1032, 1908, 236772, 36473, 18514, 5151, 236761, 1701, 18997, 166260, 912, 4945, 236764, 564, 5840, 236787, 108, 236770, 236761, 81573, 5677, 2624, 236789, 236751, 5125, 13049, 653, 4688, 23191, 568, 236744, 236761, 236759, 1126, 5677, 2624, 912, 1548, 5213, 236771, 236772, 236812, 236812, 236770, 236778, 1018, 563, 14003, 1456, 573, 236743, 236812, 236770, 236810, 236771, 3605, 24685, 70417, 913, 580, 236743, 236770, 236819, 236825, 236832, 80817, 236743, 236778, 236828, 236819, 18362, 236764, 840, 16807, 37031, 607, 822, 3530, 10884, 236768, 107, 236778, 236761, 49501, 31170, 4688, 30835, 1133, 36459, 26587, 236764, 69659, 236751, 236764, 653, 496, 2263, 80817, 24037, 7805, 107, 236800, 236761, 10352, 496, 11554, 31170, 4688, 7948, 568, 236744, 236761, 236759, 1126, 10373, 10762, 236764, 646, 89176, 14297, 44919, 236768, 108, 38786, 611, 1133, 1601, 607, 4658, 1663, 4596, 531, 822, 24037, 2203, 236881, 103453, 106, 107, 105, 2364, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 31170, 236772, 15396, 34438, 653, 912, 1548, 1938, 1343, 506, 1873, 6436, 236761, 1701, 18997, 166260, 912, 4945, 236764, 564, 5840, 16329, 5677, 2624, 236789, 236751, 5125, 13049, 236764, 57416, 496, 80817, 24037, 20727, 236764, 653, 1699, 26576, 31170, 4688, 25684, 1133, 36459, 26587, 653, 10373, 10762, 236761, 2195, 740, 16807, 37031, 607, 822, 3530, 236743, 236778, 236828, 236819, 3958, 10884, 236761, 21284, 611, 1133, 1601, 607, 4658, 1663, 4596, 531, 822, 24037, 2203, 236881, 103453, 106, 107, 105, 4368, 107, 10784, 236764, 600, 236789, 236751, 4338, 237028, 236777, 1537, 236789, 236745, 735, 2802, 531, 31170, 236772, 15396, 34438, 653, 912, 1548, 1938, 1343, 1041, 1873, 6436, 236761, 3153, 236764, 564, 740, 1601, 607, 1032, 10217, 529, 822, 80817, 24037, 2203, 236764, 1288, 618, 236787, 138, 107, 236772, 5884, 912, 15136, 568, 236744, 236761, 236759, 1126, 623, 3689, 659, 3364, 24037, 6555, 573, 496, 236743, 236770, 236819, 236825, 236832, 80817, 98718, 138, 107, 236772, 10645, 236772, 36473, 18514, 9395, 1133, 31236, 14906, 236764, 16329, 3658, 5082, 236764, 653, 67931, 69941, 4188, 4889, 138, 107, 236772, 3647, 3651, 611, 531, 26576, 31170, 5405, 568, 236744, 236761, 236759, 1126, 5677, 2624, 236789, 236751, 5125, 23191, 9851, 653, 36459, 26587, 236789, 236751, 912, 38485, 5904, 236768, 138, 108, 6481, 786, 1281, 1217, 564, 740, 6361, 611, 3342, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 993, 236888, 564, 236789, 236757, 49828, 236764, 496, 9171, 699, 234790, 236761, 564, 236789, 236757, 35447, 496, 2268, 3399, 2460, 2760, 623, 175249, 833, 57226, 236775, 2192, 692, 236789, 500, 2963, 496, 7972, 29080, 1719, 6641, 684, 1070, 147211, 4252, 607, 506, 20690, 6718, 107368, 236761, 564, 1202, 822, 1601, 6514, 872, 496, 2777, 4009, 3104, 834, 18361, 740, 114745, 236761, 5315, 236764, 974, 496, 4940, 14993, 529, 506, 1719, 531, 2247, 657, 506, 1903, 236764, 2613, 100696, 1133, 11050, 14654, 15333, 1093, 1879, 236761, 4298, 236764, 8729, 496, 4709, 15345, 573, 506, 3104, 236764, 1133, 623, 175249, 3133, 34348, 832, 112231, 6183, 236775, 2192, 840, 768, 600, 236789, 236751, 3523, 236764, 2056, 15936, 1133, 623, 175249, 34348, 832, 112231, 6183, 236775, 653, 623, 175249, 34348, 832, 236780, 2923, 236775, 3097, 611, 1586, 886, 600, 4146, 236761, 13472, 236764, 2619, 496, 44426, 3393, 573, 506, 2460, 4889, 834, 564, 740, 2247, 625, 580, 106643, 657, 506, 3399, 3988, 236761, 669, 4889, 659, 236787, 623, 22163, 506, 40327, 833, 57226, 11493, 12209, 236888, 8224, 236764, 5142, 236743, 236770, 236810, 236764, 236743, 236770, 236771, 8151, 657, 20690, 6718, 11493, 19871, 236761, 168495, 236764, 4252, 684, 506, 20690, 6718, 107368, 236764, 532, 4024, 822, 8126, 14105, 13415, 236761, 2343, 659, 8349, 9332, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 902, 1418, 10338, 692, 3732, 236764, 692, 83632, 496, 14468, 529, 3399, 532, 3877, 10498, 623, 6386, 1083, 623, 34448, 14654, 15333, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 175249, 34348, 832, 236779, 236812, 236810, 236825, 236832, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 2451, 1083, 623, 2574, 1411, 236809, 1916, 4182, 236761, 8358, 236761, 854, 236786, 48203, 236786, 236832, 236760, 236819, 236746, 236778, 236763, 236828, 236755, 236761, 5067, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4133, 10884, 573, 822, 623, 175249, 833, 57226, 236775, 3399, 2460, 2777, 4009, 3104, 236787, 108, 242507, 5213, 40943, 529, 506, 6156, 1018, 138, 107, 71510, 902, 1418, 10338, 692, 3732, 236764, 692, 83632, 496, 14468, 529, 3399, 532, 3877, 1781, 236829, 138, 107, 237028, 11050, 14654, 15333, 108, 244862, 5213, 30222, 11701, 85878, 1018, 138, 107, 236929, 175249, 34348, 832, 236779, 236812, 236810, 236825, 236832, 236929, 568, 18700, 532, 5508, 573, 1161, 15520, 108, 249560, 238178, 5213, 38943, 8739, 573, 123316, 1018, 138, 107, 236840, 18086, 12209, 44426, 8739, 5457, 2574, 1411, 236809, 1916, 4182, 236761, 8358, 236761, 854, 236786, 48203, 236786, 236832, 236760, 236819, 236746, 236778, 236763, 236828, 236755, 236761, 5067, 236768, 138, 107, 16907, 3900, 743, 531, 236787, 623, 22163, 506, 40327, 833, 57226, 11493, 12209, 236888, 8224, 236764, 5142, 236743, 236770, 236810, 236764, 236743, 236770, 236771, 8151, 657, 20690, 6718, 11493, 19871, 236761, 168495, 236764, 4252, 684, 506, 20690, 6718, 107368, 236764, 532, 4024, 822, 8126, 14105, 13415, 236761, 2343, 659, 8349, 26577, 236829, 108, 3243, 1076, 573, 822, 7972, 29080, 1719, 532, 147211, 4252, 22658, 236888, 236743, 244608, 243336, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 100257, 4658, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 993, 236888, 564, 236789, 236757, 49828, 236764, 496, 9171, 699, 234790, 236761, 564, 236789, 236757, 35447, 496, 2268, 3399, 2460, 2760, 623, 175249, 833, 57226, 236775, 2192, 692, 236789, 500, 2963, 496, 7972, 29080, 1719, 6641, 684, 1070, 147211, 4252, 607, 506, 20690, 6718, 107368, 236761, 564, 1202, 822, 1601, 6514, 872, 496, 2777, 4009, 3104, 834, 18361, 740, 114745, 236761, 5315, 236764, 974, 496, 4940, 14993, 529, 506, 1719, 531, 2247, 657, 506, 1903, 236764, 2613, 100696, 1133, 11050, 14654, 15333, 1093, 1879, 236761, 4298, 236764, 8729, 496, 4709, 15345, 573, 506, 3104, 236764, 1133, 623, 175249, 3133, 34348, 832, 112231, 6183, 236775, 2192, 840, 768, 600, 236789, 236751, 3523, 236764, 2056, 15936, 1133, 623, 175249, 34348, 832, 112231, 6183, 236775, 653, 623, 175249, 34348, 832, 236780, 2923, 236775, 3097, 611, 1586, 886, 600, 4146, 236761, 13472, 236764, 2619, 496, 44426, 3393, 573, 506, 2460, 4889, 834, 564, 740, 2247, 625, 580, 106643, 657, 506, 3399, 3988, 236761, 669, 4889, 659, 236787, 623, 22163, 506, 40327, 833, 57226, 11493, 12209, 236888, 8224, 236764, 5142, 236743, 236770, 236810, 236764, 236743, 236770, 236771, 8151, 657, 20690, 6718, 11493, 19871, 236761, 168495, 236764, 4252, 684, 506, 20690, 6718, 107368, 236764, 532, 4024, 822, 8126, 14105, 13415, 236761, 2343, 659, 8349, 9332, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 20263, 1083, 623, 902, 1418, 10338, 692, 3732, 236764, 692, 83632, 496, 14468, 529, 3399, 532, 3877, 10498, 623, 6386, 1083, 623, 34448, 14654, 15333, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 175249, 34348, 832, 236779, 236812, 236810, 236825, 236832, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 2451, 1083, 623, 2574, 1411, 236809, 1916, 4182, 236761, 8358, 236761, 854, 236786, 48203, 236786, 236832, 236760, 236819, 236746, 236778, 236763, 236828, 236755, 236761, 5067, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4133, 10884, 573, 822, 623, 175249, 833, 57226, 236775, 3399, 2460, 2777, 4009, 3104, 236787, 108, 242507, 5213, 40943, 529, 506, 6156, 1018, 138, 107, 71510, 902, 1418, 10338, 692, 3732, 236764, 692, 83632, 496, 14468, 529, 3399, 532, 3877, 1781, 236829, 138, 107, 237028, 11050, 14654, 15333, 108, 244862, 5213, 30222, 11701, 85878, 1018, 138, 107, 236929, 175249, 34348, 832, 236779, 236812, 236810, 236825, 236832, 236929, 568, 18700, 532, 5508, 573, 1161, 15520, 108, 249560, 238178, 5213, 38943, 8739, 573, 123316, 1018, 138, 107, 236840, 18086, 12209, 44426, 8739, 5457, 2574, 1411, 236809, 1916, 4182, 236761, 8358, 236761, 854, 236786, 48203, 236786, 236832, 236760, 236819, 236746, 236778, 236763, 236828, 236755, 236761, 5067, 236768, 138, 107, 16907, 3900, 743, 531, 236787, 623, 22163, 506, 40327, 833, 57226, 11493, 12209, 236888, 8224, 236764, 5142, 236743, 236770, 236810, 236764, 236743, 236770, 236771, 8151, 657, 20690, 6718, 11493, 19871, 236761, 168495, 236764, 4252, 684, 506, 20690, 6718, 107368, 236764, 532, 4024, 822, 8126, 14105, 13415, 236761, 2343, 659, 8349, 26577, 236829, 108, 3243, 1076, 573, 822, 7972, 29080, 1719, 532, 147211, 4252, 22658, 236888, 236743, 244608, 243336, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 100257, 4658, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 735, 1806, 7093, 529, 15375, 564, 1202, 1601, 607, 236761, 5315, 236764, 7352, 568, 236800, 236812, 236761, 236771, 236810, 236778, 236778, 236764, 753, 236770, 236770, 236828, 236761, 236778, 236812, 236800, 236832, 236768, 531, 614, 3421, 236761, 1637, 506, 1354, 563, 528, 7151, 236764, 7162, 531, 7352, 568, 236812, 236828, 236761, 236828, 236810, 236825, 236825, 236764, 236743, 236778, 236761, 236800, 236810, 236778, 236778, 769, 1637, 808, 7705, 236829, 3421, 563, 528, 7001, 236764, 6861, 7352, 568, 236770, 236800, 236761, 236832, 236810, 236825, 236800, 236764, 236743, 236770, 236771, 236771, 236761, 236810, 236771, 236770, 236828, 769, 3792, 786, 1281, 784, 506, 19246, 532, 3363, 1546, 4194, 691, 1645, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7720, 1083, 623, 18939, 13245, 236764, 8253, 236764, 8288, 827, 623, 6502, 1083, 3714, 30419, 1083, 15437, 623, 13319, 1083, 623, 18939, 13245, 827, 623, 3255, 1083, 623, 52247, 827, 623, 14801, 1083, 623, 27211, 4184, 23179, 623, 37673, 1083, 236743, 236800, 236812, 236761, 236771, 236810, 236778, 236778, 236764, 623, 41713, 1083, 753, 236770, 236770, 236828, 236761, 236778, 236812, 236800, 236832, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7720, 1083, 3714, 30419, 1083, 623, 192784, 569, 44625, 8244, 827, 623, 13319, 1083, 623, 50429, 827, 623, 3255, 1083, 6443, 236756, 236771, 236771, 133807, 236772, 893, 236772, 31756, 827, 623, 14801, 1083, 623, 31756, 827, 623, 157350, 236779, 3970, 1083, 623, 236832, 236810, 236771, 236771, 236812, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236812, 236828, 236761, 236828, 236810, 236825, 236825, 236764, 623, 68520, 1083, 236743, 236778, 236761, 236800, 236810, 236778, 236778, 5237, 623, 19216, 236779, 2576, 1083, 1847, 236764, 623, 14801, 236779, 4256, 1083, 623, 31756, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7720, 1083, 3714, 30419, 1083, 623, 1214, 33425, 46022, 18938, 22968, 827, 623, 13319, 1083, 623, 64131, 32644, 827, 623, 13647, 1083, 623, 59387, 1228, 669, 236758, 131525, 140626, 498, 827, 623, 14801, 1083, 623, 92443, 827, 623, 3274, 3970, 1083, 623, 236770, 236771, 236770, 236770, 236771, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236770, 236800, 236761, 236832, 236810, 236825, 236800, 236764, 623, 68520, 1083, 236743, 236770, 236771, 236771, 236761, 236810, 236771, 236770, 236828, 1263, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 2536, 529, 506, 16422, 63680, 532, 4194, 17507, 236787, 108, 236770, 236761, 5213, 7280, 119558, 568, 236800, 236812, 236761, 236771, 236810, 236778, 236778, 236764, 753, 236770, 236770, 236828, 236761, 236778, 236812, 236800, 236832, 1473, 1018, 138, 107, 139, 236772, 5213, 9604, 53121, 7383, 13245, 236764, 7151, 236764, 3640, 4184, 138, 107, 139, 236772, 5213, 24921, 6548, 236881, 1018, 8438, 568, 6375, 563, 528, 7151, 769, 138, 108, 236778, 236761, 5213, 12400, 119558, 568, 236812, 236828, 236761, 236828, 236810, 236825, 236825, 236764, 236743, 236778, 236761, 236800, 236810, 236778, 236778, 1473, 1018, 138, 107, 139, 236772, 5213, 9604, 53121, 9079, 236764, 35562, 519, 236772, 893, 236772, 31756, 236764, 7001, 568, 192784, 569, 44625, 8244, 236764, 236743, 236832, 236810, 236771, 236771, 236812, 236768, 138, 107, 139, 236772, 5213, 24921, 6548, 236881, 1018, 8438, 568, 6375, 563, 528, 7001, 769, 138, 108, 236800, 236761, 5213, 42173, 119558, 568, 236770, 236800, 236761, 236832, 236810, 236825, 236800, 236764, 236743, 236770, 236771, 236771, 236761, 236810, 236771, 236770, 236828, 1473, 1018, 138, 107, 139, 236772, 5213, 9604, 53121, 50214, 236764, 13259, 1228, 669, 236758, 131525, 140626, 498, 236764, 17254, 568, 1214, 33425, 46022, 18938, 22968, 236764, 236743, 236770, 236771, 236770, 236770, 236771, 236768, 138, 107, 139, 236772, 5213, 24921, 7179, 53121, 2301, 4194, 691, 9155, 573, 17254, 236764, 834, 672, 2918, 41684, 146501, 236761, 138, 108, 3243, 63680, 964, 6595, 236764, 532, 506, 3439, 573, 7151, 532, 7001, 964, 1645, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 735, 1806, 7093, 529, 15375, 564, 1202, 1601, 607, 236761, 5315, 236764, 7352, 568, 236800, 236812, 236761, 236771, 236810, 236778, 236778, 236764, 753, 236770, 236770, 236828, 236761, 236778, 236812, 236800, 236832, 236768, 531, 614, 3421, 236761, 1637, 506, 1354, 563, 528, 7151, 236764, 7162, 531, 7352, 568, 236812, 236828, 236761, 236828, 236810, 236825, 236825, 236764, 236743, 236778, 236761, 236800, 236810, 236778, 236778, 769, 1637, 808, 7705, 236829, 3421, 563, 528, 7001, 236764, 6861, 7352, 568, 236770, 236800, 236761, 236832, 236810, 236825, 236800, 236764, 236743, 236770, 236771, 236771, 236761, 236810, 236771, 236770, 236828, 769, 3792, 786, 1281, 784, 506, 19246, 532, 3363, 1546, 4194, 691, 1645, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7720, 1083, 623, 18939, 13245, 236764, 8253, 236764, 8288, 827, 623, 6502, 1083, 3714, 30419, 1083, 15437, 623, 13319, 1083, 623, 18939, 13245, 827, 623, 3255, 1083, 623, 52247, 827, 623, 14801, 1083, 623, 27211, 4184, 23179, 623, 37673, 1083, 236743, 236800, 236812, 236761, 236771, 236810, 236778, 236778, 236764, 623, 41713, 1083, 753, 236770, 236770, 236828, 236761, 236778, 236812, 236800, 236832, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7720, 1083, 3714, 30419, 1083, 623, 192784, 569, 44625, 8244, 827, 623, 13319, 1083, 623, 50429, 827, 623, 3255, 1083, 6443, 236756, 236771, 236771, 133807, 236772, 893, 236772, 31756, 827, 623, 14801, 1083, 623, 31756, 827, 623, 157350, 236779, 3970, 1083, 623, 236832, 236810, 236771, 236771, 236812, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236812, 236828, 236761, 236828, 236810, 236825, 236825, 236764, 623, 68520, 1083, 236743, 236778, 236761, 236800, 236810, 236778, 236778, 5237, 623, 19216, 236779, 2576, 1083, 1847, 236764, 623, 14801, 236779, 4256, 1083, 623, 31756, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7720, 1083, 3714, 30419, 1083, 623, 1214, 33425, 46022, 18938, 22968, 827, 623, 13319, 1083, 623, 64131, 32644, 827, 623, 13647, 1083, 623, 59387, 1228, 669, 236758, 131525, 140626, 498, 827, 623, 14801, 1083, 623, 92443, 827, 623, 3274, 3970, 1083, 623, 236770, 236771, 236770, 236770, 236771, 827, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236770, 236800, 236761, 236832, 236810, 236825, 236800, 236764, 623, 68520, 1083, 236743, 236770, 236771, 236771, 236761, 236810, 236771, 236770, 236828, 1263, 623, 58578, 1083, 236743, 236771, 236761, 236819, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 2536, 529, 506, 16422, 63680, 532, 4194, 17507, 236787, 108, 236770, 236761, 5213, 7280, 119558, 568, 236800, 236812, 236761, 236771, 236810, 236778, 236778, 236764, 753, 236770, 236770, 236828, 236761, 236778, 236812, 236800, 236832, 1473, 1018, 138, 107, 139, 236772, 5213, 9604, 53121, 7383, 13245, 236764, 7151, 236764, 3640, 4184, 138, 107, 139, 236772, 5213, 24921, 6548, 236881, 1018, 8438, 568, 6375, 563, 528, 7151, 769, 138, 108, 236778, 236761, 5213, 12400, 119558, 568, 236812, 236828, 236761, 236828, 236810, 236825, 236825, 236764, 236743, 236778, 236761, 236800, 236810, 236778, 236778, 1473, 1018, 138, 107, 139, 236772, 5213, 9604, 53121, 9079, 236764, 35562, 519, 236772, 893, 236772, 31756, 236764, 7001, 568, 192784, 569, 44625, 8244, 236764, 236743, 236832, 236810, 236771, 236771, 236812, 236768, 138, 107, 139, 236772, 5213, 24921, 6548, 236881, 1018, 8438, 568, 6375, 563, 528, 7001, 769, 138, 108, 236800, 236761, 5213, 42173, 119558, 568, 236770, 236800, 236761, 236832, 236810, 236825, 236800, 236764, 236743, 236770, 236771, 236771, 236761, 236810, 236771, 236770, 236828, 1473, 1018, 138, 107, 139, 236772, 5213, 9604, 53121, 50214, 236764, 13259, 1228, 669, 236758, 131525, 140626, 498, 236764, 17254, 568, 1214, 33425, 46022, 18938, 22968, 236764, 236743, 236770, 236771, 236770, 236770, 236771, 236768, 138, 107, 139, 236772, 5213, 24921, 7179, 53121, 2301, 4194, 691, 9155, 573, 17254, 236764, 834, 672, 2918, 41684, 146501, 236761, 138, 108, 3243, 63680, 964, 6595, 236764, 532, 506, 3439, 573, 7151, 532, 7001, 964, 1645, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 4889, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 23210, 1003, 82181, 1041, 50571, 1131, 25338, 12376, 531, 7463, 2171, 1041, 15749, 496, 3103, 236761, 562, 4389, 6950, 225444, 563, 496, 5139, 8770, 236761, 28344, 611, 2426, 768, 901, 2729, 506, 49180, 531, 23058, 568, 19642, 236786, 38556, 236768, 12376, 6727, 236881, 564, 236858, 236753, 4285, 1461, 531, 1281, 768, 625, 236858, 236751, 5158, 236764, 506, 3385, 18510, 901, 1161, 236764, 532, 1144, 506, 7081, 5754, 2425, 563, 236761, 5393, 4875, 531, 974, 496, 5113, 529, 1298, 531, 1502, 2180, 28236, 1131, 2613, 2311, 15381, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 3714, 19642, 236786, 38556, 1083, 3714, 3404, 1201, 1083, 623, 19642, 38556, 827, 623, 8548, 1201, 1083, 623, 19642, 236786, 38556, 827, 623, 552, 10907, 236779, 5521, 1083, 623, 27617, 827, 623, 5521, 1083, 623, 236917, 19642, 827, 623, 552, 10907, 236779, 20263, 1083, 623, 27617, 827, 623, 20263, 1083, 623, 236953, 38556, 827, 623, 16754, 236779, 184011, 1083, 236743, 236778, 236764, 623, 26670, 236779, 184011, 1083, 236743, 236828, 236764, 623, 26670, 236779, 122277, 1083, 236743, 236770, 236764, 623, 519, 3445, 236779, 20786, 1083, 17811, 623, 519, 3445, 236779, 44916, 1083, 17811, 623, 136702, 1083, 15385, 236771, 236764, 236743, 236771, 236761, 236778, 236825, 236764, 236743, 236771, 236761, 236770, 236825, 36878, 623, 136702, 236779, 29822, 1083, 15385, 236771, 236764, 236743, 236771, 236761, 236770, 236825, 236764, 236743, 236771, 236761, 236771, 236825, 36878, 623, 44163, 236779, 20845, 236779, 27617, 1083, 623, 236953, 38556, 827, 623, 14293, 236779, 6639, 1083, 236743, 236828, 236771, 236764, 623, 14293, 236779, 11412, 1083, 236743, 236812, 236771, 236764, 623, 4818, 1083, 623, 23557, 827, 623, 1387, 236779, 2400, 236779, 2086, 1083, 623, 236771, 236761, 236771, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 827, 623, 2400, 236779, 9846, 1083, 11058, 17846, 827, 623, 16350, 14255, 623, 9707, 236779, 43081, 1083, 236743, 236778, 5237, 623, 1899, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 159376, 3146, 1677, 2729, 506, 5213, 19642, 236786, 38556, 1018, 12376, 6727, 236764, 532, 1590, 659, 506, 2307, 4889, 573, 50415, 236787, 108, 236770, 236761, 5213, 6717, 66515, 113452, 5213, 14009, 236786, 31335, 1018, 568, 7624, 740, 5754, 625, 1447, 1492, 236768, 107, 236778, 236761, 5213, 11280, 56756, 66515, 236743, 244314, 37341, 659, 26682, 531, 5213, 236778, 20632, 6666, 1018, 568, 236744, 236761, 236759, 1126, 609, 236800, 236764, 236771, 236771, 236771, 236761, 236810, 236771, 236768, 107, 236800, 236761, 5213, 41802, 17648, 19511, 66515, 236743, 249641, 669, 21548, 5754, 6208, 563, 5213, 236771, 236761, 236771, 236770, 57480, 1018, 568, 9869, 609, 236800, 236771, 657, 1873, 6527, 236768, 107, 236812, 236761, 5213, 149052, 66515, 2578, 236771, 236761, 236770, 236825, 65975, 236771, 236761, 236778, 236825, 236908, 810, 5754, 568, 1967, 695, 8427, 2721, 580, 5542, 236768, 107, 236810, 236761, 5213, 9067, 39728, 66515, 97570, 1800, 5213, 17846, 10400, 1018, 568, 1025, 822, 3385, 236768, 532, 5213, 16350, 10400, 1018, 568, 20786, 236786, 44916, 26310, 236768, 108, 818, 6727, 6178, 4077, 57480, 236786, 38556, 21212, 532, 815, 951, 30990, 3835, 9456, 1590, 236761, 63306, 659, 11055, 528, 23058, 568, 236953, 38556, 769, 1701, 4453, 11317, 15621, 236764, 225444, 236789, 236751, 5125, 13049, 653, 850, 7937, 1093, 2583, 506, 1346, 18997, 4889, 236761, 21284, 611, 1133, 65977, 580, 1027, 529, 1239, 3298, 1680, 6250, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 23210, 1003, 82181, 1041, 50571, 1131, 25338, 12376, 531, 7463, 2171, 1041, 15749, 496, 3103, 236761, 562, 4389, 6950, 225444, 563, 496, 5139, 8770, 236761, 28344, 611, 2426, 768, 901, 2729, 506, 49180, 531, 23058, 568, 19642, 236786, 38556, 236768, 12376, 6727, 236881, 564, 236858, 236753, 4285, 1461, 531, 1281, 768, 625, 236858, 236751, 5158, 236764, 506, 3385, 18510, 901, 1161, 236764, 532, 1144, 506, 7081, 5754, 2425, 563, 236761, 5393, 4875, 531, 974, 496, 5113, 529, 1298, 531, 1502, 2180, 28236, 1131, 2613, 2311, 15381, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3709, 1083, 3714, 19642, 236786, 38556, 1083, 3714, 3404, 1201, 1083, 623, 19642, 38556, 827, 623, 8548, 1201, 1083, 623, 19642, 236786, 38556, 827, 623, 552, 10907, 236779, 5521, 1083, 623, 27617, 827, 623, 5521, 1083, 623, 236917, 19642, 827, 623, 552, 10907, 236779, 20263, 1083, 623, 27617, 827, 623, 20263, 1083, 623, 236953, 38556, 827, 623, 16754, 236779, 184011, 1083, 236743, 236778, 236764, 623, 26670, 236779, 184011, 1083, 236743, 236828, 236764, 623, 26670, 236779, 122277, 1083, 236743, 236770, 236764, 623, 519, 3445, 236779, 20786, 1083, 17811, 623, 519, 3445, 236779, 44916, 1083, 17811, 623, 136702, 1083, 15385, 236771, 236764, 236743, 236771, 236761, 236778, 236825, 236764, 236743, 236771, 236761, 236770, 236825, 36878, 623, 136702, 236779, 29822, 1083, 15385, 236771, 236764, 236743, 236771, 236761, 236770, 236825, 236764, 236743, 236771, 236761, 236771, 236825, 36878, 623, 44163, 236779, 20845, 236779, 27617, 1083, 623, 236953, 38556, 827, 623, 14293, 236779, 6639, 1083, 236743, 236828, 236771, 236764, 623, 14293, 236779, 11412, 1083, 236743, 236812, 236771, 236764, 623, 4818, 1083, 623, 23557, 827, 623, 1387, 236779, 2400, 236779, 2086, 1083, 623, 236771, 236761, 236771, 236770, 236771, 236771, 236771, 236771, 236771, 236771, 827, 623, 2400, 236779, 9846, 1083, 11058, 17846, 827, 623, 16350, 14255, 623, 9707, 236779, 43081, 1083, 236743, 236778, 5237, 623, 1899, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 159376, 3146, 1677, 2729, 506, 5213, 19642, 236786, 38556, 1018, 12376, 6727, 236764, 532, 1590, 659, 506, 2307, 4889, 573, 50415, 236787, 108, 236770, 236761, 5213, 6717, 66515, 113452, 5213, 14009, 236786, 31335, 1018, 568, 7624, 740, 5754, 625, 1447, 1492, 236768, 107, 236778, 236761, 5213, 11280, 56756, 66515, 236743, 244314, 37341, 659, 26682, 531, 5213, 236778, 20632, 6666, 1018, 568, 236744, 236761, 236759, 1126, 609, 236800, 236764, 236771, 236771, 236771, 236761, 236810, 236771, 236768, 107, 236800, 236761, 5213, 41802, 17648, 19511, 66515, 236743, 249641, 669, 21548, 5754, 6208, 563, 5213, 236771, 236761, 236771, 236770, 57480, 1018, 568, 9869, 609, 236800, 236771, 657, 1873, 6527, 236768, 107, 236812, 236761, 5213, 149052, 66515, 2578, 236771, 236761, 236770, 236825, 65975, 236771, 236761, 236778, 236825, 236908, 810, 5754, 568, 1967, 695, 8427, 2721, 580, 5542, 236768, 107, 236810, 236761, 5213, 9067, 39728, 66515, 97570, 1800, 5213, 17846, 10400, 1018, 568, 1025, 822, 3385, 236768, 532, 5213, 16350, 10400, 1018, 568, 20786, 236786, 44916, 26310, 236768, 108, 818, 6727, 6178, 4077, 57480, 236786, 38556, 21212, 532, 815, 951, 30990, 3835, 9456, 1590, 236761, 63306, 659, 11055, 528, 23058, 568, 236953, 38556, 769, 1701, 4453, 11317, 15621, 236764, 225444, 236789, 236751, 5125, 13049, 653, 850, 7937, 1093, 2583, 506, 1346, 18997, 4889, 236761, 21284, 611, 1133, 65977, 580, 1027, 529, 1239, 3298, 1680, 6250, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 614, 17075, 1456, 39937, 573, 1041, 5177, 1610, 981, 236761, 564, 236789, 560, 1010, 146924, 496, 2321, 4681, 840, 1461, 531, 10769, 1873, 2436, 6527, 3418, 784, 2487, 3835, 236761, 3199, 611, 33205, 9813, 21212, 1262, 528, 23058, 236764, 2440, 1698, 4194, 532, 20925, 24074, 236881, 3551, 7715, 563, 11119, 236764, 840, 564, 1537, 236789, 236745, 1461, 531, 32963, 580, 3736, 573, 1041, 11710, 5699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 62938, 236779, 4243, 101085, 1083, 1847, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 70149, 236779, 1516, 1083, 78493, 4368, 1083, 623, 236797, 69553, 99634, 236743, 236800, 236771, 236825, 236771, 827, 623, 9707, 1083, 3714, 149508, 1083, 236743, 236778, 236812, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 19216, 1083, 623, 17729, 1799, 827, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 85038, 567, 1083, 623, 60881, 1550, 573, 7234, 236772, 5909, 236743, 236800, 236796, 16852, 532, 236743, 236812, 236855, 11710, 81014, 23179, 3714, 4368, 1083, 623, 236797, 69553, 99634, 236743, 236778, 236771, 236832, 236771, 827, 623, 9707, 1083, 3714, 149508, 1083, 236743, 236800, 236778, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 19216, 1083, 623, 11947, 827, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 85038, 567, 1083, 623, 51757, 3736, 573, 7595, 236772, 53767, 5177, 1610, 6182, 23179, 3714, 4368, 1083, 623, 236797, 69553, 93339, 236743, 236770, 236771, 236828, 236771, 827, 623, 9707, 1083, 3714, 149508, 1083, 236743, 236770, 236812, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 19216, 1083, 623, 33593, 840, 10828, 827, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 85038, 567, 1083, 623, 71653, 5086, 573, 6079, 5177, 11710, 236764, 5809, 782, 4849, 573, 2455, 176632, 25938, 1604, 623, 16350, 236779, 28263, 1083, 3714, 145644, 1083, 623, 21153, 236917, 236743, 236800, 236771, 236772, 22894, 4681, 6807, 32879, 3385, 236772, 1071, 236772, 32677, 7232, 827, 623, 110444, 1083, 623, 24501, 107101, 3835, 573, 99634, 236743, 236800, 236771, 236832, 236771, 4681, 768, 2487, 2351, 236743, 236778, 5695, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 25890, 529, 1873, 1456, 39937, 3835, 600, 8913, 607, 822, 5177, 1610, 3548, 236787, 108, 1018, 8534, 150170, 53121, 107, 236770, 236761, 5213, 236797, 69553, 99634, 236743, 236800, 236771, 236825, 236771, 1018, 6131, 236778, 236812, 236819, 236761, 236819, 236819, 236768, 138, 107, 139, 236772, 808, 17729, 1799, 236829, 4194, 607, 236743, 236812, 236761, 236810, 236786, 236810, 20925, 14470, 138, 107, 139, 236772, 8890, 1550, 573, 7234, 236772, 5909, 236743, 236800, 236796, 16852, 532, 236743, 236812, 236855, 11710, 138, 107, 139, 236772, 216700, 782, 4849, 573, 1346, 5177, 1610, 81014, 138, 108, 236778, 236761, 5213, 236797, 69553, 99634, 236743, 236778, 236771, 236832, 236771, 1018, 6131, 236800, 236778, 236819, 236761, 236819, 236819, 236768, 138, 107, 139, 236772, 808, 11947, 236829, 4194, 607, 236743, 236812, 236761, 236778, 236786, 236810, 20925, 14470, 138, 107, 139, 236772, 27717, 497, 3736, 573, 7595, 236772, 53767, 5699, 568, 236744, 236761, 236759, 1126, 4429, 236772, 117339, 11710, 236768, 138, 107, 139, 236772, 14066, 768, 611, 740, 10161, 822, 7715, 138, 108, 236800, 236761, 5213, 236797, 69553, 93339, 236743, 236770, 236771, 236828, 236771, 1018, 6131, 236770, 236812, 236819, 236761, 236819, 236819, 236768, 138, 107, 139, 236772, 808, 33593, 840, 10828, 236829, 607, 236743, 236812, 236761, 236828, 236786, 236810, 20925, 14470, 138, 107, 139, 236772, 29125, 236772, 18865, 840, 5809, 782, 4849, 573, 2455, 176632, 568, 74736, 573, 6079, 236743, 236778, 236796, 981, 236768, 138, 108, 1018, 40219, 76374, 53121, 138, 107, 236772, 99634, 236743, 236800, 236771, 236772, 22894, 4681, 2729, 506, 1791, 3385, 236772, 1071, 236772, 32677, 7232, 1447, 1492, 138, 107, 236772, 16501, 573, 107101, 99634, 236743, 236800, 236771, 236832, 236771, 38332, 568, 11990, 2351, 236743, 236778, 5695, 236768, 768, 611, 740, 4491, 138, 108, 2542, 5177, 1610, 236764, 56856, 782, 4849, 6541, 532, 11775, 3736, 236761, 669, 99634, 236743, 236800, 236771, 236825, 236771, 29646, 506, 1791, 7002, 1534, 2157, 532, 20478, 573, 1346, 11421, 236761, 21284, 611, 1133, 1601, 30923, 3530, 4681, 3342, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 25890, 236761, 564, 236858, 236753, 1133, 531, 59638, 1041, 3927, 3342, 236761, 28344, 611, 10769, 506, 5213, 236847, 4849, 6541, 125546, 5213, 49726, 3736, 125546, 532, 5213, 225266, 7157, 18558, 1018, 529, 1239, 1806, 4681, 568, 21153, 236917, 236743, 236800, 236771, 236825, 236771, 236764, 99634, 236743, 236778, 236771, 236832, 236771, 236764, 93339, 236743, 236770, 236771, 236828, 236771, 236768, 531, 6054, 837, 5469, 506, 1791, 7002, 529, 2066, 532, 9286, 573, 5177, 11710, 81014, 236881, 18741, 236764, 659, 993, 1027, 107101, 99634, 236743, 236800, 236771, 236832, 236771, 38332, 2487, 808, 2998, 236829, 600, 2473, 3798, 2351, 496, 609, 236778, 236810, 236771, 23278, 236800, 236771, 236771, 7715, 236764, 1581, 768, 8427, 1456, 236881, 564, 1461, 531, 5330, 564, 236858, 236757, 711, 45839, 11497, 53039, 653, 1024, 106094, 573, 496, 2028, 600, 236858, 236751, 1208, 36359, 573, 1041, 3548, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 18840, 506, 8330, 23003, 532, 2436, 1262, 531, 1601, 611, 1386, 614, 13819, 4893, 236761, 5978, 564, 1537, 236789, 236745, 735, 1982, 2802, 531, 1759, 236772, 2289, 107101, 38332, 236764, 564, 740, 2847, 79500, 14984, 2721, 580, 3224, 39937, 15858, 532, 2436, 15067, 236761, 108, 1018, 58972, 36520, 53121, 107, 236909, 9483, 146, 236909, 782, 4849, 61242, 1109, 54102, 19791, 1109, 182377, 2372, 619, 1109, 14232, 4585, 88379, 2109, 1109, 107, 236909, 2819, 236909, 44042, 236909, 2819, 30104, 236909, 12857, 236909, 2819, 40686, 236909, 107, 236909, 99634, 236743, 236800, 236771, 236825, 236771, 143, 236909, 236743, 236770, 236778, 8242, 46169, 7560, 236825, 140, 236909, 37843, 568, 213790, 13217, 236768, 1109, 236743, 236800, 236764, 236810, 236828, 236812, 142, 236909, 8890, 7002, 573, 1346, 5177, 11421, 1109, 107, 236909, 99634, 236743, 236778, 236771, 236832, 236771, 143, 236909, 236743, 236828, 8242, 46169, 7560, 236825, 141, 236909, 7886, 568, 5006, 16204, 236768, 1109, 236743, 236778, 236764, 236800, 236771, 236812, 142, 236909, 27717, 236764, 840, 782, 4849, 16305, 573, 2455, 5699, 1109, 107, 236909, 93339, 236743, 236770, 236771, 236828, 236771, 143, 236909, 236743, 236828, 8242, 46169, 7560, 236810, 236917, 140, 236909, 15519, 568, 4158, 1702, 236768, 138, 236909, 236743, 236778, 236764, 236810, 236825, 236771, 142, 236909, 29125, 5086, 607, 3629, 782, 4849, 15166, 1109, 108, 1018, 3503, 76374, 53121, 107, 236770, 236761, 5213, 236847, 4849, 77687, 7660, 1018, 573, 5177, 11710, 753, 236743, 236770, 236778, 8242, 568, 21153, 236917, 236743, 236800, 236771, 236825, 236771, 236768, 5862, 2844, 607, 236743, 236828, 236855, 236862, 176632, 532, 3996, 16078, 34624, 107, 236778, 236761, 5213, 21153, 236917, 236743, 236800, 236771, 236825, 236771, 88444, 66515, 236743, 236810, 236771, 236908, 919, 782, 4849, 1082, 99634, 236743, 236778, 236771, 236832, 236771, 1651, 16977, 3361, 11775, 9286, 1343, 33530, 66210, 627, 13217, 107, 236800, 236761, 5213, 225266, 17354, 202571, 66515, 5978, 99634, 236743, 236778, 236771, 236832, 236771, 815, 18661, 36876, 1082, 93339, 236743, 236770, 236771, 236828, 236771, 236764, 1061, 63809, 13217, 3590, 625, 8792, 11442, 528, 9578, 6182, 108, 1018, 40219, 60176, 7179, 53121, 107, 236772, 10867, 3688, 2091, 99634, 236743, 236800, 236771, 236832, 236771, 38332, 11082, 3196, 657, 609, 236778, 236828, 236771, 23278, 236800, 236778, 236771, 2644, 568, 4002, 2436, 4398, 609, 236778, 236819, 236819, 236768, 107, 236772, 29164, 99634, 236743, 236800, 236771, 236832, 236771, 2351, 822, 609, 236778, 236810, 236771, 236772, 236800, 236771, 236771, 7715, 1149, 2849, 840, 3187, 1407, 7274, 8785, 653, 12298, 11775, 4083, 107, 236772, 14066, 236787, 99634, 236743, 236800, 236771, 236825, 236771, 5469, 2480, 1440, 236772, 6061, 1550, 657, 3718, 2157, 607, 33530, 13217, 108, 1018, 211199, 53121, 669, 99634, 236743, 236800, 236771, 236825, 236771, 4728, 506, 12567, 7002, 529, 782, 4849, 6541, 236764, 11775, 9286, 236764, 532, 4532, 4065, 568, 5282, 16293, 52065, 36876, 236768, 573, 5177, 1610, 657, 822, 7715, 1984, 236761, 21284, 611, 1133, 786, 531, 1601, 45432, 21212, 607, 3530, 34616, 653, 10769, 24227, 3835, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 8330, 25890, 532, 2436, 19317, 236761, 564, 14756, 506, 99634, 236743, 236800, 236771, 236825, 236771, 25809, 236764, 840, 564, 236858, 236753, 2036, 1133, 531, 16807, 768, 1027, 5213, 1811, 3688, 2091, 99634, 236743, 236800, 236771, 236832, 236771, 1018, 38332, 2849, 808, 2998, 236829, 2351, 1041, 609, 236778, 236810, 236771, 23278, 236800, 236771, 236771, 7715, 236761, 28344, 611, 1161, 506, 5213, 828, 236779, 62938, 1018, 5904, 531, 3927, 573, 5213, 21153, 236917, 236743, 236800, 236771, 236832, 236771, 1018, 4681, 10916, 26777, 618, 623, 1811, 3688, 2091, 236775, 653, 623, 5282, 861, 2098, 35129, 2536, 531, 1407, 1186, 1724, 31979, 1534, 609, 236778, 236810, 236771, 532, 609, 236800, 236771, 236771, 236881, 1701, 1027, 12853, 236764, 5091, 3204, 4889, 1003, 1698, 4194, 236764, 20925, 24074, 236764, 532, 24227, 4981, 531, 1601, 786, 19281, 506, 1550, 2342, 506, 99634, 236743, 236800, 236771, 236825, 236771, 236761, 564, 1461, 531, 5330, 564, 236858, 236757, 711, 9724, 496, 8401, 3772, 600, 1451, 3402, 236772, 11958, 1041, 10884, 573, 919, 3996, 1610, 5699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 62938, 1083, 78493, 4368, 1083, 623, 236797, 69553, 108183, 99634, 236743, 236800, 236771, 236832, 236771, 827, 623, 9707, 1083, 236743, 236778, 236828, 236810, 236764, 623, 19216, 1083, 623, 1811, 3688, 2091, 827, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 177129, 1083, 623, 236825, 3794, 827, 623, 56905, 1083, 623, 495, 2862, 23179, 3714, 4368, 1083, 623, 236797, 69553, 108183, 99634, 236743, 236800, 236771, 236832, 236771, 827, 623, 9707, 1083, 236743, 236778, 236819, 236810, 236764, 623, 19216, 1083, 623, 5282, 861, 827, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236819, 236764, 623, 177129, 1083, 623, 236770, 236778, 3794, 827, 623, 56905, 1083, 623, 495, 2862, 23179, 3714, 4368, 1083, 623, 236797, 69553, 108183, 99634, 236743, 236800, 236771, 236825, 236771, 17226, 827, 623, 9707, 1083, 236743, 236778, 236812, 236771, 236764, 623, 19216, 1083, 623, 3456, 827, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 177129, 1083, 623, 9745, 827, 623, 56905, 1083, 623, 495, 2862, 23179, 3714, 4368, 1083, 623, 236797, 69553, 108183, 99634, 236743, 236800, 236771, 236828, 236771, 827, 623, 9707, 1083, 236743, 236800, 236778, 236771, 236764, 623, 19216, 1083, 623, 1811, 3688, 2091, 827, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 177129, 1083, 623, 236800, 3794, 827, 623, 56905, 1083, 623, 495, 2862, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 5213, 21153, 236917, 236743, 236800, 236771, 236832, 236771, 1018, 3835, 2351, 653, 3541, 822, 609, 236778, 236810, 236771, 236964, 236795, 236800, 236771, 236771, 7715, 236787, 108, 236909, 9483, 150, 236909, 14584, 138, 236909, 20402, 142, 236909, 59562, 47240, 1109, 82824, 1109, 75669, 1109, 107, 236909, 2819, 1040, 236909, 1611, 236909, 2819, 236909, 44042, 236909, 24912, 236909, 29118, 236909, 107, 236909, 99634, 236743, 236800, 236771, 236832, 236771, 147, 236909, 609, 236778, 236828, 236810, 139, 236909, 10867, 3688, 2091, 140, 236909, 236743, 236812, 236761, 236828, 236786, 236810, 145, 236909, 236743, 236825, 3794, 1109, 799, 2862, 141, 236909, 107, 236909, 99634, 236743, 236800, 236771, 236832, 236771, 147, 236909, 609, 236778, 236819, 236810, 139, 236909, 9929, 1799, 143, 236909, 236743, 236812, 236761, 236819, 236786, 236810, 145, 236909, 236743, 236770, 236778, 3794, 236909, 799, 2862, 141, 236909, 108, 7243, 108, 10354, 5213, 21153, 236917, 236743, 236800, 236771, 236832, 236771, 7728, 236761, 99634, 236743, 236800, 236771, 236825, 236771, 36520, 1018, 107, 236909, 6501, 151, 236909, 99634, 236743, 236800, 236771, 236832, 236771, 146, 236909, 99634, 236743, 236800, 236771, 236825, 236771, 146, 236909, 5213, 11355, 1030, 77687, 1018, 1109, 107, 236909, 2819, 1040, 236909, 2819, 171168, 2819, 171168, 2819, 1040, 236909, 107, 236909, 5213, 236847, 4849, 1018, 147, 236909, 236743, 236828, 8242, 46169, 7560, 236825, 145, 236909, 236743, 236770, 236778, 8242, 46169, 7560, 236825, 144, 236909, 236743, 236800, 236771, 236825, 236771, 19171, 6268, 176632, 236786, 156045, 1109, 107, 236909, 5213, 225266, 2372, 619, 1018, 141, 236909, 236743, 236810, 236764, 236828, 236828, 236828, 149, 236909, 236743, 236800, 236764, 236810, 236828, 236812, 149, 236909, 236743, 236800, 236771, 236832, 236771, 123552, 657, 3996, 16852, 9395, 1109, 107, 236909, 5213, 116811, 7803, 1018, 1109, 27026, 78273, 140, 236909, 172669, 9862, 140, 236909, 236743, 236800, 236771, 236832, 236771, 26432, 30927, 1208, 3711, 1109, 107, 236909, 5213, 36177, 236772, 14476, 522, 1018, 236909, 27717, 497, 16293, 52065, 532, 40312, 4033, 3736, 1109, 7886, 236764, 840, 2344, 193527, 1109, 236743, 236800, 236771, 236832, 236771, 2480, 573, 16038, 12498, 236772, 27612, 6436, 1109, 108, 7243, 108, 10354, 5213, 211199, 1018, 107, 236770, 236761, 5213, 8534, 24067, 66515, 5213, 21153, 236917, 236743, 236800, 236771, 236832, 236771, 6131, 236778, 236819, 236810, 62902, 138, 107, 139, 236772, 808, 17729, 1799, 236829, 4194, 607, 236743, 236770, 236778, 236772, 11283, 24227, 532, 3541, 236772, 50936, 20925, 14470, 568, 236812, 236761, 236819, 236786, 236810, 769, 138, 107, 139, 236772, 5393, 609, 236812, 236825, 919, 1082, 506, 99634, 236743, 236800, 236771, 236825, 236771, 6131, 236778, 236812, 236819, 236761, 236819, 236819, 236768, 840, 5469, 5213, 236825, 236810, 236908, 919, 182377, 36876, 1018, 532, 12132, 11775, 3736, 236761, 138, 108, 236778, 236761, 5213, 71653, 48806, 66515, 5213, 21153, 236917, 236743, 236800, 236771, 236832, 236771, 6131, 236778, 236828, 236810, 62902, 138, 107, 139, 236772, 10867, 3688, 2091, 607, 236743, 236825, 236772, 11283, 24227, 236761, 146805, 609, 236770, 236771, 840, 20532, 12606, 1082, 506, 609, 236778, 236819, 236810, 5086, 236761, 138, 108, 236800, 236761, 5213, 11355, 3790, 506, 99634, 236743, 236800, 236771, 236828, 236771, 6131, 236800, 236778, 236771, 20625, 1018, 138, 107, 139, 236772, 1787, 3641, 236751, 822, 7715, 532, 5469, 87281, 7623, 573, 5177, 1610, 568, 236828, 8242, 782, 4849, 7728, 236761, 236743, 236800, 236771, 236825, 236771, 236858, 236751, 236743, 236770, 236778, 8242, 769, 138, 108, 7243, 108, 10354, 5213, 17667, 80894, 1018, 107, 236772, 1637, 611, 56856, 5213, 236847, 4849, 1018, 573, 22346, 236772, 20619, 176632, 568, 236744, 236761, 236759, 1126, 236743, 236828, 236855, 236862, 779, 6568, 607, 506, 5213, 21153, 236917, 236743, 236800, 236771, 236825, 236771, 1018, 657, 609, 236778, 236810, 236771, 236761, 138, 107, 236772, 1637, 611, 1461, 5213, 5843, 236772, 6061, 3736, 1018, 573, 3996, 5699, 568, 236744, 236761, 236759, 1126, 236743, 236800, 236796, 34624, 236764, 12498, 872, 69473, 779, 506, 5213, 21153, 236917, 236743, 236800, 236771, 236832, 236771, 6131, 236778, 236819, 236810, 62902, 563, 5367, 506, 6495, 7715, 10161, 236761, 138, 108, 38786, 611, 1133, 1601, 57105, 607, 506, 20925, 653, 16329, 24227, 3755, 573, 3477, 5086, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 614, 17075, 1456, 39937, 573, 1041, 5177, 1610, 981, 236761, 564, 236789, 560, 1010, 146924, 496, 2321, 4681, 840, 1461, 531, 10769, 1873, 2436, 6527, 3418, 784, 2487, 3835, 236761, 3199, 611, 33205, 9813, 21212, 1262, 528, 23058, 236764, 2440, 1698, 4194, 532, 20925, 24074, 236881, 3551, 7715, 563, 11119, 236764, 840, 564, 1537, 236789, 236745, 1461, 531, 32963, 580, 3736, 573, 1041, 11710, 5699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 62938, 236779, 4243, 101085, 1083, 1847, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 70149, 236779, 1516, 1083, 78493, 4368, 1083, 623, 236797, 69553, 99634, 236743, 236800, 236771, 236825, 236771, 827, 623, 9707, 1083, 3714, 149508, 1083, 236743, 236778, 236812, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 19216, 1083, 623, 17729, 1799, 827, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 85038, 567, 1083, 623, 60881, 1550, 573, 7234, 236772, 5909, 236743, 236800, 236796, 16852, 532, 236743, 236812, 236855, 11710, 81014, 23179, 3714, 4368, 1083, 623, 236797, 69553, 99634, 236743, 236778, 236771, 236832, 236771, 827, 623, 9707, 1083, 3714, 149508, 1083, 236743, 236800, 236778, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 19216, 1083, 623, 11947, 827, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 85038, 567, 1083, 623, 51757, 3736, 573, 7595, 236772, 53767, 5177, 1610, 6182, 23179, 3714, 4368, 1083, 623, 236797, 69553, 93339, 236743, 236770, 236771, 236828, 236771, 827, 623, 9707, 1083, 3714, 149508, 1083, 236743, 236770, 236812, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 23179, 623, 19216, 1083, 623, 33593, 840, 10828, 827, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 85038, 567, 1083, 623, 71653, 5086, 573, 6079, 5177, 11710, 236764, 5809, 782, 4849, 573, 2455, 176632, 25938, 1604, 623, 16350, 236779, 28263, 1083, 3714, 145644, 1083, 623, 21153, 236917, 236743, 236800, 236771, 236772, 22894, 4681, 6807, 32879, 3385, 236772, 1071, 236772, 32677, 7232, 827, 623, 110444, 1083, 623, 24501, 107101, 3835, 573, 99634, 236743, 236800, 236771, 236832, 236771, 4681, 768, 2487, 2351, 236743, 236778, 5695, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 25890, 529, 1873, 1456, 39937, 3835, 600, 8913, 607, 822, 5177, 1610, 3548, 236787, 108, 1018, 8534, 150170, 53121, 107, 236770, 236761, 5213, 236797, 69553, 99634, 236743, 236800, 236771, 236825, 236771, 1018, 6131, 236778, 236812, 236819, 236761, 236819, 236819, 236768, 138, 107, 139, 236772, 808, 17729, 1799, 236829, 4194, 607, 236743, 236812, 236761, 236810, 236786, 236810, 20925, 14470, 138, 107, 139, 236772, 8890, 1550, 573, 7234, 236772, 5909, 236743, 236800, 236796, 16852, 532, 236743, 236812, 236855, 11710, 138, 107, 139, 236772, 216700, 782, 4849, 573, 1346, 5177, 1610, 81014, 138, 108, 236778, 236761, 5213, 236797, 69553, 99634, 236743, 236778, 236771, 236832, 236771, 1018, 6131, 236800, 236778, 236819, 236761, 236819, 236819, 236768, 138, 107, 139, 236772, 808, 11947, 236829, 4194, 607, 236743, 236812, 236761, 236778, 236786, 236810, 20925, 14470, 138, 107, 139, 236772, 27717, 497, 3736, 573, 7595, 236772, 53767, 5699, 568, 236744, 236761, 236759, 1126, 4429, 236772, 117339, 11710, 236768, 138, 107, 139, 236772, 14066, 768, 611, 740, 10161, 822, 7715, 138, 108, 236800, 236761, 5213, 236797, 69553, 93339, 236743, 236770, 236771, 236828, 236771, 1018, 6131, 236770, 236812, 236819, 236761, 236819, 236819, 236768, 138, 107, 139, 236772, 808, 33593, 840, 10828, 236829, 607, 236743, 236812, 236761, 236828, 236786, 236810, 20925, 14470, 138, 107, 139, 236772, 29125, 236772, 18865, 840, 5809, 782, 4849, 573, 2455, 176632, 568, 74736, 573, 6079, 236743, 236778, 236796, 981, 236768, 138, 108, 1018, 40219, 76374, 53121, 138, 107, 236772, 99634, 236743, 236800, 236771, 236772, 22894, 4681, 2729, 506, 1791, 3385, 236772, 1071, 236772, 32677, 7232, 1447, 1492, 138, 107, 236772, 16501, 573, 107101, 99634, 236743, 236800, 236771, 236832, 236771, 38332, 568, 11990, 2351, 236743, 236778, 5695, 236768, 768, 611, 740, 4491, 138, 108, 2542, 5177, 1610, 236764, 56856, 782, 4849, 6541, 532, 11775, 3736, 236761, 669, 99634, 236743, 236800, 236771, 236825, 236771, 29646, 506, 1791, 7002, 1534, 2157, 532, 20478, 573, 1346, 11421, 236761, 21284, 611, 1133, 1601, 30923, 3530, 4681, 3342, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 25890, 236761, 564, 236858, 236753, 1133, 531, 59638, 1041, 3927, 3342, 236761, 28344, 611, 10769, 506, 5213, 236847, 4849, 6541, 125546, 5213, 49726, 3736, 125546, 532, 5213, 225266, 7157, 18558, 1018, 529, 1239, 1806, 4681, 568, 21153, 236917, 236743, 236800, 236771, 236825, 236771, 236764, 99634, 236743, 236778, 236771, 236832, 236771, 236764, 93339, 236743, 236770, 236771, 236828, 236771, 236768, 531, 6054, 837, 5469, 506, 1791, 7002, 529, 2066, 532, 9286, 573, 5177, 11710, 81014, 236881, 18741, 236764, 659, 993, 1027, 107101, 99634, 236743, 236800, 236771, 236832, 236771, 38332, 2487, 808, 2998, 236829, 600, 2473, 3798, 2351, 496, 609, 236778, 236810, 236771, 23278, 236800, 236771, 236771, 7715, 236764, 1581, 768, 8427, 1456, 236881, 564, 1461, 531, 5330, 564, 236858, 236757, 711, 45839, 11497, 53039, 653, 1024, 106094, 573, 496, 2028, 600, 236858, 236751, 1208, 36359, 573, 1041, 3548, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 859, 18840, 506, 8330, 23003, 532, 2436, 1262, 531, 1601, 611, 1386, 614, 13819, 4893, 236761, 5978, 564, 1537, 236789, 236745, 735, 1982, 2802, 531, 1759, 236772, 2289, 107101, 38332, 236764, 564, 740, 2847, 79500, 14984, 2721, 580, 3224, 39937, 15858, 532, 2436, 15067, 236761, 108, 1018, 58972, 36520, 53121, 107, 236909, 9483, 146, 236909, 782, 4849, 61242, 1109, 54102, 19791, 1109, 182377, 2372, 619, 1109, 14232, 4585, 88379, 2109, 1109, 107, 236909, 2819, 236909, 44042, 236909, 2819, 30104, 236909, 12857, 236909, 2819, 40686, 236909, 107, 236909, 99634, 236743, 236800, 236771, 236825, 236771, 143, 236909, 236743, 236770, 236778, 8242, 46169, 7560, 236825, 140, 236909, 37843, 568, 213790, 13217, 236768, 1109, 236743, 236800, 236764, 236810, 236828, 236812, 142, 236909, 8890, 7002, 573, 1346, 5177, 11421, 1109, 107, 236909, 99634, 236743, 236778, 236771, 236832, 236771, 143, 236909, 236743, 236828, 8242, 46169, 7560, 236825, 141, 236909, 7886, 568, 5006, 16204, 236768, 1109, 236743, 236778, 236764, 236800, 236771, 236812, 142, 236909, 27717, 236764, 840, 782, 4849, 16305, 573, 2455, 5699, 1109, 107, 236909, 93339, 236743, 236770, 236771, 236828, 236771, 143, 236909, 236743, 236828, 8242, 46169, 7560, 236810, 236917, 140, 236909, 15519, 568, 4158, 1702, 236768, 138, 236909, 236743, 236778, 236764, 236810, 236825, 236771, 142, 236909, 29125, 5086, 607, 3629, 782, 4849, 15166, 1109, 108, 1018, 3503, 76374, 53121, 107, 236770, 236761, 5213, 236847, 4849, 77687, 7660, 1018, 573, 5177, 11710, 753, 236743, 236770, 236778, 8242, 568, 21153, 236917, 236743, 236800, 236771, 236825, 236771, 236768, 5862, 2844, 607, 236743, 236828, 236855, 236862, 176632, 532, 3996, 16078, 34624, 107, 236778, 236761, 5213, 21153, 236917, 236743, 236800, 236771, 236825, 236771, 88444, 66515, 236743, 236810, 236771, 236908, 919, 782, 4849, 1082, 99634, 236743, 236778, 236771, 236832, 236771, 1651, 16977, 3361, 11775, 9286, 1343, 33530, 66210, 627, 13217, 107, 236800, 236761, 5213, 225266, 17354, 202571, 66515, 5978, 99634, 236743, 236778, 236771, 236832, 236771, 815, 18661, 36876, 1082, 93339, 236743, 236770, 236771, 236828, 236771, 236764, 1061, 63809, 13217, 3590, 625, 8792, 11442, 528, 9578, 6182, 108, 1018, 40219, 60176, 7179, 53121, 107, 236772, 10867, 3688, 2091, 99634, 236743, 236800, 236771, 236832, 236771, 38332, 11082, 3196, 657, 609, 236778, 236828, 236771, 23278, 236800, 236778, 236771, 2644, 568, 4002, 2436, 4398, 609, 236778, 236819, 236819, 236768, 107, 236772, 29164, 99634, 236743, 236800, 236771, 236832, 236771, 2351, 822, 609, 236778, 236810, 236771, 236772, 236800, 236771, 236771, 7715, 1149, 2849, 840, 3187, 1407, 7274, 8785, 653, 12298, 11775, 4083, 107, 236772, 14066, 236787, 99634, 236743, 236800, 236771, 236825, 236771, 5469, 2480, 1440, 236772, 6061, 1550, 657, 3718, 2157, 607, 33530, 13217, 108, 1018, 211199, 53121, 669, 99634, 236743, 236800, 236771, 236825, 236771, 4728, 506, 12567, 7002, 529, 782, 4849, 6541, 236764, 11775, 9286, 236764, 532, 4532, 4065, 568, 5282, 16293, 52065, 36876, 236768, 573, 5177, 1610, 657, 822, 7715, 1984, 236761, 21284, 611, 1133, 786, 531, 1601, 45432, 21212, 607, 3530, 34616, 653, 10769, 24227, 3835, 236881, 106, 107, 105, 2364, 107, 14782, 611, 573, 506, 8330, 25890, 532, 2436, 19317, 236761, 564, 14756, 506, 99634, 236743, 236800, 236771, 236825, 236771, 25809, 236764, 840, 564, 236858, 236753, 2036, 1133, 531, 16807, 768, 1027, 5213, 1811, 3688, 2091, 99634, 236743, 236800, 236771, 236832, 236771, 1018, 38332, 2849, 808, 2998, 236829, 2351, 1041, 609, 236778, 236810, 236771, 23278, 236800, 236771, 236771, 7715, 236761, 28344, 611, 1161, 506, 5213, 828, 236779, 62938, 1018, 5904, 531, 3927, 573, 5213, 21153, 236917, 236743, 236800, 236771, 236832, 236771, 1018, 4681, 10916, 26777, 618, 623, 1811, 3688, 2091, 236775, 653, 623, 5282, 861, 2098, 35129, 2536, 531, 1407, 1186, 1724, 31979, 1534, 609, 236778, 236810, 236771, 532, 609, 236800, 236771, 236771, 236881, 1701, 1027, 12853, 236764, 5091, 3204, 4889, 1003, 1698, 4194, 236764, 20925, 24074, 236764, 532, 24227, 4981, 531, 1601, 786, 19281, 506, 1550, 2342, 506, 99634, 236743, 236800, 236771, 236825, 236771, 236761, 564, 1461, 531, 5330, 564, 236858, 236757, 711, 9724, 496, 8401, 3772, 600, 1451, 3402, 236772, 11958, 1041, 10884, 573, 919, 3996, 1610, 5699, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 62938, 1083, 78493, 4368, 1083, 623, 236797, 69553, 108183, 99634, 236743, 236800, 236771, 236832, 236771, 827, 623, 9707, 1083, 236743, 236778, 236828, 236810, 236764, 623, 19216, 1083, 623, 1811, 3688, 2091, 827, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 177129, 1083, 623, 236825, 3794, 827, 623, 56905, 1083, 623, 495, 2862, 23179, 3714, 4368, 1083, 623, 236797, 69553, 108183, 99634, 236743, 236800, 236771, 236832, 236771, 827, 623, 9707, 1083, 236743, 236778, 236819, 236810, 236764, 623, 19216, 1083, 623, 5282, 861, 827, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236819, 236764, 623, 177129, 1083, 623, 236770, 236778, 3794, 827, 623, 56905, 1083, 623, 495, 2862, 23179, 3714, 4368, 1083, 623, 236797, 69553, 108183, 99634, 236743, 236800, 236771, 236825, 236771, 17226, 827, 623, 9707, 1083, 236743, 236778, 236812, 236771, 236764, 623, 19216, 1083, 623, 3456, 827, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236800, 236764, 623, 177129, 1083, 623, 9745, 827, 623, 56905, 1083, 623, 495, 2862, 23179, 3714, 4368, 1083, 623, 236797, 69553, 108183, 99634, 236743, 236800, 236771, 236828, 236771, 827, 623, 9707, 1083, 236743, 236800, 236778, 236771, 236764, 623, 19216, 1083, 623, 1811, 3688, 2091, 827, 623, 62856, 236779, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 177129, 1083, 623, 236800, 3794, 827, 623, 56905, 1083, 623, 495, 2862, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 5213, 21153, 236917, 236743, 236800, 236771, 236832, 236771, 1018, 3835, 2351, 653, 3541, 822, 609, 236778, 236810, 236771, 236964, 236795, 236800, 236771, 236771, 7715, 236787, 108, 236909, 9483, 150, 236909, 14584, 138, 236909, 20402, 142, 236909, 59562, 47240, 1109, 82824, 1109, 75669, 1109, 107, 236909, 2819, 1040, 236909, 1611, 236909, 2819, 236909, 44042, 236909, 24912, 236909, 29118, 236909, 107, 236909, 99634, 236743, 236800, 236771, 236832, 236771, 147, 236909, 609, 236778, 236828, 236810, 139, 236909, 10867, 3688, 2091, 140, 236909, 236743, 236812, 236761, 236828, 236786, 236810, 145, 236909, 236743, 236825, 3794, 1109, 799, 2862, 141, 236909, 107, 236909, 99634, 236743, 236800, 236771, 236832, 236771, 147, 236909, 609, 236778, 236819, 236810, 139, 236909, 9929, 1799, 143, 236909, 236743, 236812, 236761, 236819, 236786, 236810, 145, 236909, 236743, 236770, 236778, 3794, 236909, 799, 2862, 141, 236909, 108, 7243, 108, 10354, 5213, 21153, 236917, 236743, 236800, 236771, 236832, 236771, 7728, 236761, 99634, 236743, 236800, 236771, 236825, 236771, 36520, 1018, 107, 236909, 6501, 151, 236909, 99634, 236743, 236800, 236771, 236832, 236771, 146, 236909, 99634, 236743, 236800, 236771, 236825, 236771, 146, 236909, 5213, 11355, 1030, 77687, 1018, 1109, 107, 236909, 2819, 1040, 236909, 2819, 171168, 2819, 171168, 2819, 1040, 236909, 107, 236909, 5213, 236847, 4849, 1018, 147, 236909, 236743, 236828, 8242, 46169, 7560, 236825, 145, 236909, 236743, 236770, 236778, 8242, 46169, 7560, 236825, 144, 236909, 236743, 236800, 236771, 236825, 236771, 19171, 6268, 176632, 236786, 156045, 1109, 107, 236909, 5213, 225266, 2372, 619, 1018, 141, 236909, 236743, 236810, 236764, 236828, 236828, 236828, 149, 236909, 236743, 236800, 236764, 236810, 236828, 236812, 149, 236909, 236743, 236800, 236771, 236832, 236771, 123552, 657, 3996, 16852, 9395, 1109, 107, 236909, 5213, 116811, 7803, 1018, 1109, 27026, 78273, 140, 236909, 172669, 9862, 140, 236909, 236743, 236800, 236771, 236832, 236771, 26432, 30927, 1208, 3711, 1109, 107, 236909, 5213, 36177, 236772, 14476, 522, 1018, 236909, 27717, 497, 16293, 52065, 532, 40312, 4033, 3736, 1109, 7886, 236764, 840, 2344, 193527, 1109, 236743, 236800, 236771, 236832, 236771, 2480, 573, 16038, 12498, 236772, 27612, 6436, 1109, 108, 7243, 108, 10354, 5213, 211199, 1018, 107, 236770, 236761, 5213, 8534, 24067, 66515, 5213, 21153, 236917, 236743, 236800, 236771, 236832, 236771, 6131, 236778, 236819, 236810, 62902, 138, 107, 139, 236772, 808, 17729, 1799, 236829, 4194, 607, 236743, 236770, 236778, 236772, 11283, 24227, 532, 3541, 236772, 50936, 20925, 14470, 568, 236812, 236761, 236819, 236786, 236810, 769, 138, 107, 139, 236772, 5393, 609, 236812, 236825, 919, 1082, 506, 99634, 236743, 236800, 236771, 236825, 236771, 6131, 236778, 236812, 236819, 236761, 236819, 236819, 236768, 840, 5469, 5213, 236825, 236810, 236908, 919, 182377, 36876, 1018, 532, 12132, 11775, 3736, 236761, 138, 108, 236778, 236761, 5213, 71653, 48806, 66515, 5213, 21153, 236917, 236743, 236800, 236771, 236832, 236771, 6131, 236778, 236828, 236810, 62902, 138, 107, 139, 236772, 10867, 3688, 2091, 607, 236743, 236825, 236772, 11283, 24227, 236761, 146805, 609, 236770, 236771, 840, 20532, 12606, 1082, 506, 609, 236778, 236819, 236810, 5086, 236761, 138, 108, 236800, 236761, 5213, 11355, 3790, 506, 99634, 236743, 236800, 236771, 236828, 236771, 6131, 236800, 236778, 236771, 20625, 1018, 138, 107, 139, 236772, 1787, 3641, 236751, 822, 7715, 532, 5469, 87281, 7623, 573, 5177, 1610, 568, 236828, 8242, 782, 4849, 7728, 236761, 236743, 236800, 236771, 236825, 236771, 236858, 236751, 236743, 236770, 236778, 8242, 769, 138, 108, 7243, 108, 10354, 5213, 17667, 80894, 1018, 107, 236772, 1637, 611, 56856, 5213, 236847, 4849, 1018, 573, 22346, 236772, 20619, 176632, 568, 236744, 236761, 236759, 1126, 236743, 236828, 236855, 236862, 779, 6568, 607, 506, 5213, 21153, 236917, 236743, 236800, 236771, 236825, 236771, 1018, 657, 609, 236778, 236810, 236771, 236761, 138, 107, 236772, 1637, 611, 1461, 5213, 5843, 236772, 6061, 3736, 1018, 573, 3996, 5699, 568, 236744, 236761, 236759, 1126, 236743, 236800, 236796, 34624, 236764, 12498, 872, 69473, 779, 506, 5213, 21153, 236917, 236743, 236800, 236771, 236832, 236771, 6131, 236778, 236819, 236810, 62902, 563, 5367, 506, 6495, 7715, 10161, 236761, 138, 108, 38786, 611, 1133, 1601, 57105, 607, 506, 20925, 653, 16329, 24227, 3755, 573, 3477, 5086, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 9735, 529, 11710, 19850, 532, 7463, 4030, 496, 4284, 7946, 236764, 834, 564, 1202, 531, 2426, 506, 7606, 14415, 573, 45158, 1171, 236761, 2024, 4491, 236764, 564, 6827, 506, 7606, 850, 6494, 168411, 768, 611, 1537, 236789, 236745, 1161, 506, 4453, 3207, 1463, 236761, 4298, 564, 1461, 531, 2426, 506, 14415, 573, 37083, 2311, 236764, 2338, 564, 2473, 5697, 993, 8224, 236761, 3199, 611, 1601, 786, 5811, 855, 506, 7606, 573, 1800, 6666, 2180, 1027, 178900, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 86658, 236764, 16119, 827, 623, 4002, 236779, 41907, 1083, 78493, 7617, 236779, 236760, 1083, 236743, 236832, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236771, 236764, 623, 15879, 236779, 70367, 1083, 236743, 236770, 236771, 236764, 623, 19323, 1083, 623, 7783, 586, 130915, 25938, 1604, 623, 52511, 236779, 14356, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 841, 903, 7133, 236779, 236760, 1083, 236743, 236832, 236828, 236764, 623, 84210, 7133, 236779, 236760, 1083, 236743, 236825, 236810, 236764, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 827, 623, 7617, 236779, 236760, 1083, 236743, 236825, 236810, 236764, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236800, 236771, 1263, 3714, 2289, 1083, 623, 236825, 827, 623, 7617, 236779, 236760, 1083, 236743, 236825, 236828, 236764, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236778, 236771, 1263, 3714, 2289, 1083, 623, 236770, 236778, 827, 623, 7617, 236779, 236760, 1083, 236743, 236832, 236825, 236764, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236770, 236771, 200808, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 841, 903, 7133, 236779, 236760, 1083, 236743, 236828, 236778, 236764, 623, 84210, 7133, 236779, 236760, 1083, 236743, 236825, 236832, 236764, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 827, 623, 7617, 236779, 236760, 1083, 236743, 236825, 236832, 236764, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236825, 827, 623, 7617, 236779, 236760, 1083, 236743, 236832, 236771, 236764, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236770, 236778, 827, 623, 7617, 236779, 236760, 1083, 236743, 236828, 236771, 236764, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236771, 15947, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 132598, 236764, 16119, 827, 623, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236832, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 236764, 623, 44340, 1083, 236743, 236771, 1263, 623, 52511, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 11480, 1083, 236743, 236828, 236828, 236764, 623, 976, 1083, 236743, 236825, 236832, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 827, 623, 11480, 1083, 236743, 236819, 236770, 236764, 623, 976, 1083, 236743, 236832, 236771, 236764, 623, 19216, 1083, 623, 118538, 25938, 1604, 623, 25441, 1083, 623, 146530, 827, 623, 52511, 236779, 14356, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 32672, 573, 1800, 11024, 531, 1601, 2731, 822, 11710, 7946, 236787, 108, 1018, 86658, 236764, 16119, 568, 11069, 5315, 7179, 62902, 107, 236772, 5213, 17076, 568, 27403, 236743, 236770, 236819, 1473, 1018, 236743, 236825, 236810, 237366, 236811, 236964, 236832, 236828, 237366, 236811, 236764, 22043, 35898, 607, 2214, 6927, 2653, 24602, 568, 236800, 236771, 236908, 6584, 657, 38735, 236768, 107, 236772, 5213, 125133, 568, 27403, 236743, 236778, 236771, 1473, 1018, 236743, 236825, 236832, 237366, 236811, 236964, 236828, 236778, 237366, 236811, 236764, 6299, 532, 3582, 784, 1719, 107, 236772, 18324, 236787, 2578, 236770, 236771, 44269, 3124, 236764, 22932, 16922, 107, 236772, 208719, 236787, 2578, 236825, 236771, 236908, 3124, 236764, 236743, 236825, 236810, 236908, 16922, 108, 1018, 132598, 236764, 16119, 568, 11069, 7901, 34960, 19993, 62902, 107, 236772, 5213, 46325, 568, 27403, 236743, 236778, 236771, 1473, 1018, 236743, 236825, 236832, 237366, 236811, 236964, 236828, 236828, 237366, 236811, 236764, 22043, 35898, 568, 1904, 6927, 236768, 107, 236772, 5213, 48049, 568, 27403, 236743, 236778, 236770, 1473, 1018, 236743, 236832, 236771, 237366, 236811, 236964, 236819, 236770, 237366, 236811, 236764, 17635, 568, 1904, 6927, 236768, 107, 236772, 18324, 236787, 2578, 236828, 44269, 3124, 236764, 4547, 3361, 16922, 107, 236772, 208719, 236787, 2578, 236825, 236810, 236908, 3124, 108, 1018, 3503, 12774, 50914, 53121, 107, 236770, 236761, 10508, 11024, 735, 1535, 11710, 7606, 8224, 607, 951, 6927, 107, 236778, 236761, 37083, 795, 577, 8792, 90756, 8174, 568, 236819, 236770, 237366, 236811, 7728, 236743, 236828, 236778, 237366, 236811, 528, 45158, 236768, 107, 236800, 236761, 45158, 236789, 236751, 24602, 6927, 11160, 2473, 4208, 3649, 5597, 10884, 107, 236812, 236761, 18324, 236786, 77269, 4535, 659, 78407, 528, 1800, 9979, 108, 38786, 611, 1133, 919, 3530, 51599, 4889, 573, 3477, 4563, 531, 30726, 822, 11710, 10368, 236881, 106, 107, 105, 2364, 107, 20470, 496, 9641, 236764, 564, 1164, 14995, 237028, 17993, 14415, 573, 37083, 1176, 623, 46325, 568, 27403, 236743, 236778, 236771, 1473, 236743, 236825, 236832, 237366, 236811, 236964, 236828, 236828, 237366, 236811, 236775, 840, 1041, 4284, 7946, 2731, 9857, 8224, 5597, 236761, 28344, 611, 3972, 236772, 4256, 37083, 236789, 236751, 7606, 1699, 506, 808, 828, 236779, 19323, 236779, 52511, 236829, 5904, 10916, 236881, 564, 1461, 531, 1386, 2889, 993, 236789, 236751, 951, 11497, 6927, 6584, 2338, 564, 236789, 859, 577, 30295, 1610, 14767, 528, 506, 1295, 3649, 236761, 6542, 236764, 768, 45158, 236789, 236751, 24602, 6927, 12489, 872, 531, 8224, 12399, 236764, 564, 2473, 4196, 2263, 5205, 236761, 3792, 236858, 236751, 7562, 672, 2918, 684, 2918, 236787, 236743, 236770, 236761, 5315, 236764, 2246, 808, 828, 236779, 19323, 236779, 52511, 236829, 573, 37083, 236764, 16119, 573, 5213, 46325, 568, 27403, 236743, 236778, 236771, 62902, 607, 51599, 4889, 6250, 657, 236743, 236832, 8151, 236761, 236743, 236778, 236761, 4298, 236764, 2426, 45158, 236858, 236751, 14415, 1570, 1699, 506, 1638, 5904, 573, 8224, 236764, 19541, 580, 5213, 9900, 11663, 3885, 84750, 564, 236858, 859, 4491, 573, 1239, 3530, 2536, 1680, 201585, 1041, 6614, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236832, 236810, 236764, 623, 77269, 1083, 236743, 236825, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236764, 623, 44340, 1083, 236743, 236771, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 23179, 623, 52511, 1083, 3714, 31524, 1083, 3714, 11480, 1083, 236743, 236828, 236778, 236764, 623, 976, 1083, 236743, 236825, 236828, 236764, 623, 19216, 1083, 623, 118538, 23179, 623, 216984, 1083, 3714, 11480, 1083, 236743, 236828, 236825, 236764, 623, 976, 1083, 236743, 236832, 236771, 236764, 623, 19216, 1083, 623, 3900, 42790, 40520, 204409, 236775, 5237, 623, 180981, 236779, 52511, 1083, 78493, 13807, 1083, 623, 236771, 236828, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236832, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 1263, 3714, 13807, 1083, 623, 236771, 236819, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236832, 236825, 236764, 623, 77269, 1083, 236743, 236825, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236819, 1263, 3714, 13807, 1083, 623, 236770, 236771, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236828, 236771, 236764, 623, 77269, 1083, 236743, 236810, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236778, 104960, 623, 25441, 1083, 623, 236811, 64975, 827, 623, 7125, 1083, 623, 132598, 236764, 16119, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236828, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236828, 236825, 236764, 623, 77269, 1083, 236743, 236825, 236778, 236764, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 44340, 1083, 623, 236771, 236761, 236771, 528, 827, 623, 12138, 236779, 4711, 1083, 623, 236778, 236771, 171446, 623, 52511, 1083, 3714, 31524, 1083, 3714, 11480, 1083, 236743, 236828, 236819, 236764, 623, 976, 1083, 236743, 236825, 236828, 236764, 623, 19216, 1083, 623, 118538, 827, 623, 7926, 236779, 2662, 1083, 236743, 236832, 1263, 623, 216984, 1083, 3714, 11480, 1083, 236743, 236819, 236770, 236764, 623, 976, 1083, 236743, 236832, 236771, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 44340, 236779, 95852, 1083, 623, 236770, 236771, 38032, 5237, 623, 180981, 236779, 52511, 1083, 78493, 2289, 1083, 623, 236770, 236778, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236828, 236832, 236764, 623, 19216, 1083, 623, 22631, 23179, 3714, 2289, 1083, 623, 236800, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236828, 236819, 236764, 623, 19216, 1083, 623, 96123, 75506, 23179, 3714, 2289, 1083, 623, 236825, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236828, 236810, 236764, 623, 19216, 1083, 623, 22631, 25938, 1604, 623, 25441, 1083, 623, 236811, 64975, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 27662, 7606, 32672, 1699, 506, 18997, 808, 828, 236779, 19323, 236779, 52511, 236829, 5904, 236787, 108, 1018, 132598, 236764, 16119, 568, 42814, 34960, 7179, 62902, 138, 107, 1018, 46325, 568, 27403, 236743, 236778, 236771, 1473, 1018, 138, 107, 236772, 5213, 236832, 236772, 236770, 236771, 8151, 53121, 236743, 236832, 236778, 237366, 236811, 236964, 236828, 236771, 237366, 236811, 236764, 22043, 35898, 531, 17635, 236764, 951, 6927, 138, 107, 236772, 5213, 6259, 11663, 74544, 53121, 4819, 529, 236743, 236828, 236819, 237366, 236811, 236764, 17635, 55748, 568, 87877, 684, 236743, 236770, 236778, 8711, 51599, 1262, 236768, 138, 107, 236772, 5213, 3503, 52586, 53121, 2301, 31632, 6584, 3097, 29892, 139938, 15074, 8174, 568, 27403, 236743, 236778, 236770, 236768, 138, 108, 1018, 86658, 236764, 16119, 568, 13149, 9620, 71887, 62902, 138, 107, 1018, 46325, 145984, 53121, 138, 107, 236772, 5213, 236770, 236778, 8711, 53121, 236743, 236828, 236832, 237366, 236811, 236764, 3582, 55748, 138, 107, 236772, 5213, 236800, 8711, 53121, 236743, 236828, 236819, 237366, 236811, 236764, 2321, 14958, 138, 107, 236772, 5213, 236825, 8711, 53121, 236743, 236828, 236810, 237366, 236811, 236764, 3582, 55748, 138, 107, 236772, 5213, 8985, 53121, 56358, 6927, 6584, 7808, 531, 38735, 568, 236770, 236771, 236908, 31632, 16922, 236764, 5142, 236743, 236778, 236771, 236764, 711, 8224, 12399, 236768, 138, 108, 1018, 87732, 172707, 53121, 138, 107, 236770, 236761, 5213, 132598, 8224, 53121, 30164, 573, 5597, 4301, 236786, 104309, 10884, 568, 1904, 6927, 4652, 1680, 37170, 236768, 138, 107, 236778, 236761, 5213, 86658, 8224, 53121, 26079, 6299, 3439, 573, 12399, 11710, 138, 107, 236800, 236761, 5213, 89740, 7918, 53121, 10508, 11024, 5524, 5453, 236772, 236828, 236771, 236751, 237366, 236811, 8224, 1271, 1161, 19296, 3546, 236743, 236832, 236862, 47989, 138, 108, 38786, 611, 1133, 496, 1626, 9960, 529, 36597, 236786, 98729, 2782, 653, 19296, 3546, 4889, 573, 3477, 4563, 531, 59638, 822, 11710, 4771, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 9813, 17507, 236888, 4224, 600, 506, 6927, 5889, 236858, 236745, 496, 8224, 7492, 236764, 564, 236858, 859, 10741, 2721, 580, 2214, 3325, 236761, 5612, 11421, 39839, 13935, 6468, 2214, 236764, 1451, 611, 1138, 236787, 236743, 236770, 236761, 5213, 171656, 236786, 98729, 2782, 1018, 573, 1800, 45158, 532, 37083, 580, 8224, 568, 27403, 236743, 236778, 236771, 20625, 236743, 236778, 236761, 5213, 27898, 3546, 11519, 3885, 1018, 573, 1546, 4563, 236881, 1174, 236858, 859, 1601, 786, 2731, 3363, 531, 5697, 531, 37083, 573, 36597, 11710, 653, 4196, 2263, 573, 12399, 66418, 236761, 6542, 236764, 768, 45158, 236858, 236751, 14711, 100146, 607, 506, 236743, 236825, 8711, 3582, 55748, 611, 6950, 236764, 564, 2473, 20327, 506, 5697, 532, 1076, 872, 1590, 236761, 3792, 236858, 236751, 25196, 672, 1679, 236888, 236743, 245838, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2426, 768, 1023, 6436, 740, 2847, 506, 4767, 4889, 611, 1202, 573, 822, 25075, 6995, 1390, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236832, 236778, 236764, 623, 77269, 1083, 623, 236825, 236810, 70887, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 44340, 1083, 623, 236771, 236761, 236778, 528, 827, 623, 7777, 1083, 623, 7783, 586, 35898, 607, 496, 6584, 529, 2214, 6927, 23179, 623, 180981, 236779, 52511, 1083, 78493, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 27495, 1083, 236743, 236832, 236800, 1263, 3714, 2289, 1083, 623, 236770, 236770, 236787, 236771, 236771, 8151, 827, 623, 27495, 1083, 236743, 236832, 236810, 1263, 3714, 2289, 1083, 623, 236770, 236778, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236832, 236832, 1263, 3714, 2289, 1083, 623, 236770, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236832, 236819, 1263, 3714, 2289, 1083, 623, 236778, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236828, 236770, 1263, 3714, 2289, 1083, 623, 236800, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236828, 236778, 1263, 3714, 2289, 1083, 623, 236812, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236828, 236770, 1263, 3714, 2289, 1083, 623, 236810, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236832, 236819, 1263, 3714, 2289, 1083, 623, 236825, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236832, 236832, 104960, 623, 7125, 1083, 623, 86658, 236764, 16119, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 7617, 1083, 236743, 236832, 236810, 236761, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236761, 236810, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 52511, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 11480, 1083, 236743, 236828, 236771, 236761, 236770, 236764, 623, 976, 1083, 236743, 236810, 236819, 236761, 236828, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 25938, 1604, 623, 7125, 1083, 623, 132598, 236764, 16119, 827, 623, 25441, 1083, 623, 46435, 15882, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 75239, 496, 6749, 4186, 607, 1023, 7606, 1262, 7021, 1271, 506, 1346, 4803, 5904, 13630, 659, 16228, 59891, 14069, 568, 36022, 236743, 236778, 236771, 236778, 236800, 5205, 529, 5142, 236743, 236778, 236771, 236778, 236810, 236768, 532, 39119, 53892, 236761, 5978, 564, 740, 236789, 236745, 33205, 11459, 36597, 236786, 98729, 1262, 699, 506, 1873, 6436, 236764, 1590, 236789, 236751, 1144, 564, 740, 9128, 699, 1023, 3527, 13451, 3072, 236787, 108, 1018, 129647, 87560, 32288, 568, 2543, 5142, 236743, 236778, 236771, 236778, 236810, 1262, 1473, 1018, 107, 236770, 236761, 5213, 86658, 236764, 16119, 145984, 568, 27403, 236743, 236778, 236771, 1473, 1018, 236743, 107, 139, 236772, 25179, 55748, 657, 236743, 236825, 8711, 568, 50936, 573, 14711, 11710, 236768, 107, 139, 236772, 35267, 236787, 236743, 236828, 236810, 237366, 236811, 657, 236743, 236825, 8711, 568, 31704, 573, 11690, 981, 236768, 107, 139, 236772, 19296, 13291, 236787, 236743, 236832, 657, 37170, 568, 22468, 107118, 2214, 236764, 840, 30264, 684, 12399, 236768, 108, 236778, 236761, 5213, 132598, 236764, 16119, 33299, 568, 27403, 236743, 236778, 236771, 1473, 1018, 107, 139, 236772, 25179, 55748, 657, 236743, 236832, 236772, 236770, 236771, 8151, 568, 63914, 573, 36597, 11710, 236768, 107, 139, 236772, 35267, 236787, 236743, 236832, 236778, 236772, 236828, 236771, 237366, 236811, 568, 49123, 573, 3649, 10884, 236768, 107, 139, 236772, 2301, 31632, 4652, 568, 87877, 1343, 107118, 236768, 108, 1018, 211199, 53121, 138, 107, 26479, 506, 27662, 1262, 236787, 107, 236772, 1701, 5213, 152827, 11710, 1018, 607, 30927, 11139, 236787, 37083, 568, 236832, 236772, 236770, 236771, 8151, 236768, 107, 236772, 1701, 5213, 9900, 11663, 236786, 98729, 11710, 1018, 607, 3582, 55748, 236787, 45158, 568, 236800, 236772, 236832, 8711, 236768, 108, 38786, 611, 1133, 786, 531, 3600, 9302, 7606, 7021, 600, 2473, 735, 1873, 36597, 236786, 98729, 156909, 236764, 653, 1093, 611, 5278, 531, 7162, 607, 1239, 10778, 3439, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9735, 529, 11710, 19850, 532, 7463, 4030, 496, 4284, 7946, 236764, 834, 564, 1202, 531, 2426, 506, 7606, 14415, 573, 45158, 1171, 236761, 2024, 4491, 236764, 564, 6827, 506, 7606, 850, 6494, 168411, 768, 611, 1537, 236789, 236745, 1161, 506, 4453, 3207, 1463, 236761, 4298, 564, 1461, 531, 2426, 506, 14415, 573, 37083, 2311, 236764, 2338, 564, 2473, 5697, 993, 8224, 236761, 3199, 611, 1601, 786, 5811, 855, 506, 7606, 573, 1800, 6666, 2180, 1027, 178900, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 86658, 236764, 16119, 827, 623, 4002, 236779, 41907, 1083, 78493, 7617, 236779, 236760, 1083, 236743, 236832, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236771, 236764, 623, 15879, 236779, 70367, 1083, 236743, 236770, 236771, 236764, 623, 19323, 1083, 623, 7783, 586, 130915, 25938, 1604, 623, 52511, 236779, 14356, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 841, 903, 7133, 236779, 236760, 1083, 236743, 236832, 236828, 236764, 623, 84210, 7133, 236779, 236760, 1083, 236743, 236825, 236810, 236764, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 827, 623, 7617, 236779, 236760, 1083, 236743, 236825, 236810, 236764, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236800, 236771, 1263, 3714, 2289, 1083, 623, 236825, 827, 623, 7617, 236779, 236760, 1083, 236743, 236825, 236828, 236764, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236778, 236771, 1263, 3714, 2289, 1083, 623, 236770, 236778, 827, 623, 7617, 236779, 236760, 1083, 236743, 236832, 236825, 236764, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236770, 236771, 200808, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 841, 903, 7133, 236779, 236760, 1083, 236743, 236828, 236778, 236764, 623, 84210, 7133, 236779, 236760, 1083, 236743, 236825, 236832, 236764, 623, 180981, 1083, 78493, 2289, 1083, 623, 236771, 827, 623, 7617, 236779, 236760, 1083, 236743, 236825, 236832, 236764, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236825, 827, 623, 7617, 236779, 236760, 1083, 236743, 236832, 236771, 236764, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236771, 1263, 3714, 2289, 1083, 623, 236770, 236778, 827, 623, 7617, 236779, 236760, 1083, 236743, 236828, 236771, 236764, 623, 95852, 236779, 1340, 236779, 1256, 1083, 236743, 236771, 15947, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 7125, 1083, 623, 132598, 236764, 16119, 827, 623, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236832, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 236764, 623, 44340, 1083, 236743, 236771, 1263, 623, 52511, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 11480, 1083, 236743, 236828, 236828, 236764, 623, 976, 1083, 236743, 236825, 236832, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236770, 827, 623, 11480, 1083, 236743, 236819, 236770, 236764, 623, 976, 1083, 236743, 236832, 236771, 236764, 623, 19216, 1083, 623, 118538, 25938, 1604, 623, 25441, 1083, 623, 146530, 827, 623, 52511, 236779, 14356, 1083, 236743, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7606, 32672, 573, 1800, 11024, 531, 1601, 2731, 822, 11710, 7946, 236787, 108, 1018, 86658, 236764, 16119, 568, 11069, 5315, 7179, 62902, 107, 236772, 5213, 17076, 568, 27403, 236743, 236770, 236819, 1473, 1018, 236743, 236825, 236810, 237366, 236811, 236964, 236832, 236828, 237366, 236811, 236764, 22043, 35898, 607, 2214, 6927, 2653, 24602, 568, 236800, 236771, 236908, 6584, 657, 38735, 236768, 107, 236772, 5213, 125133, 568, 27403, 236743, 236778, 236771, 1473, 1018, 236743, 236825, 236832, 237366, 236811, 236964, 236828, 236778, 237366, 236811, 236764, 6299, 532, 3582, 784, 1719, 107, 236772, 18324, 236787, 2578, 236770, 236771, 44269, 3124, 236764, 22932, 16922, 107, 236772, 208719, 236787, 2578, 236825, 236771, 236908, 3124, 236764, 236743, 236825, 236810, 236908, 16922, 108, 1018, 132598, 236764, 16119, 568, 11069, 7901, 34960, 19993, 62902, 107, 236772, 5213, 46325, 568, 27403, 236743, 236778, 236771, 1473, 1018, 236743, 236825, 236832, 237366, 236811, 236964, 236828, 236828, 237366, 236811, 236764, 22043, 35898, 568, 1904, 6927, 236768, 107, 236772, 5213, 48049, 568, 27403, 236743, 236778, 236770, 1473, 1018, 236743, 236832, 236771, 237366, 236811, 236964, 236819, 236770, 237366, 236811, 236764, 17635, 568, 1904, 6927, 236768, 107, 236772, 18324, 236787, 2578, 236828, 44269, 3124, 236764, 4547, 3361, 16922, 107, 236772, 208719, 236787, 2578, 236825, 236810, 236908, 3124, 108, 1018, 3503, 12774, 50914, 53121, 107, 236770, 236761, 10508, 11024, 735, 1535, 11710, 7606, 8224, 607, 951, 6927, 107, 236778, 236761, 37083, 795, 577, 8792, 90756, 8174, 568, 236819, 236770, 237366, 236811, 7728, 236743, 236828, 236778, 237366, 236811, 528, 45158, 236768, 107, 236800, 236761, 45158, 236789, 236751, 24602, 6927, 11160, 2473, 4208, 3649, 5597, 10884, 107, 236812, 236761, 18324, 236786, 77269, 4535, 659, 78407, 528, 1800, 9979, 108, 38786, 611, 1133, 919, 3530, 51599, 4889, 573, 3477, 4563, 531, 30726, 822, 11710, 10368, 236881, 106, 107, 105, 2364, 107, 20470, 496, 9641, 236764, 564, 1164, 14995, 237028, 17993, 14415, 573, 37083, 1176, 623, 46325, 568, 27403, 236743, 236778, 236771, 1473, 236743, 236825, 236832, 237366, 236811, 236964, 236828, 236828, 237366, 236811, 236775, 840, 1041, 4284, 7946, 2731, 9857, 8224, 5597, 236761, 28344, 611, 3972, 236772, 4256, 37083, 236789, 236751, 7606, 1699, 506, 808, 828, 236779, 19323, 236779, 52511, 236829, 5904, 10916, 236881, 564, 1461, 531, 1386, 2889, 993, 236789, 236751, 951, 11497, 6927, 6584, 2338, 564, 236789, 859, 577, 30295, 1610, 14767, 528, 506, 1295, 3649, 236761, 6542, 236764, 768, 45158, 236789, 236751, 24602, 6927, 12489, 872, 531, 8224, 12399, 236764, 564, 2473, 4196, 2263, 5205, 236761, 3792, 236858, 236751, 7562, 672, 2918, 684, 2918, 236787, 236743, 236770, 236761, 5315, 236764, 2246, 808, 828, 236779, 19323, 236779, 52511, 236829, 573, 37083, 236764, 16119, 573, 5213, 46325, 568, 27403, 236743, 236778, 236771, 62902, 607, 51599, 4889, 6250, 657, 236743, 236832, 8151, 236761, 236743, 236778, 236761, 4298, 236764, 2426, 45158, 236858, 236751, 14415, 1570, 1699, 506, 1638, 5904, 573, 8224, 236764, 19541, 580, 5213, 9900, 11663, 3885, 84750, 564, 236858, 859, 4491, 573, 1239, 3530, 2536, 1680, 201585, 1041, 6614, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236832, 236810, 236764, 623, 77269, 1083, 236743, 236825, 236771, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236764, 623, 44340, 1083, 236743, 236771, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 23179, 623, 52511, 1083, 3714, 31524, 1083, 3714, 11480, 1083, 236743, 236828, 236778, 236764, 623, 976, 1083, 236743, 236825, 236828, 236764, 623, 19216, 1083, 623, 118538, 23179, 623, 216984, 1083, 3714, 11480, 1083, 236743, 236828, 236825, 236764, 623, 976, 1083, 236743, 236832, 236771, 236764, 623, 19216, 1083, 623, 3900, 42790, 40520, 204409, 236775, 5237, 623, 180981, 236779, 52511, 1083, 78493, 13807, 1083, 623, 236771, 236828, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236832, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236828, 1263, 3714, 13807, 1083, 623, 236771, 236819, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236832, 236825, 236764, 623, 77269, 1083, 236743, 236825, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236819, 1263, 3714, 13807, 1083, 623, 236770, 236771, 236787, 236771, 236771, 827, 623, 27495, 1083, 236743, 236828, 236771, 236764, 623, 77269, 1083, 236743, 236810, 236828, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236778, 104960, 623, 25441, 1083, 623, 236811, 64975, 827, 623, 7125, 1083, 623, 132598, 236764, 16119, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236828, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236828, 236825, 236764, 623, 77269, 1083, 236743, 236825, 236778, 236764, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 44340, 1083, 623, 236771, 236761, 236771, 528, 827, 623, 12138, 236779, 4711, 1083, 623, 236778, 236771, 171446, 623, 52511, 1083, 3714, 31524, 1083, 3714, 11480, 1083, 236743, 236828, 236819, 236764, 623, 976, 1083, 236743, 236825, 236828, 236764, 623, 19216, 1083, 623, 118538, 827, 623, 7926, 236779, 2662, 1083, 236743, 236832, 1263, 623, 216984, 1083, 3714, 11480, 1083, 236743, 236819, 236770, 236764, 623, 976, 1083, 236743, 236832, 236771, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 44340, 236779, 95852, 1083, 623, 236770, 236771, 38032, 5237, 623, 180981, 236779, 52511, 1083, 78493, 2289, 1083, 623, 236770, 236778, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236828, 236832, 236764, 623, 19216, 1083, 623, 22631, 23179, 3714, 2289, 1083, 623, 236800, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236828, 236819, 236764, 623, 19216, 1083, 623, 96123, 75506, 23179, 3714, 2289, 1083, 623, 236825, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236828, 236810, 236764, 623, 19216, 1083, 623, 22631, 25938, 1604, 623, 25441, 1083, 623, 236811, 64975, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 27662, 7606, 32672, 1699, 506, 18997, 808, 828, 236779, 19323, 236779, 52511, 236829, 5904, 236787, 108, 1018, 132598, 236764, 16119, 568, 42814, 34960, 7179, 62902, 138, 107, 1018, 46325, 568, 27403, 236743, 236778, 236771, 1473, 1018, 138, 107, 236772, 5213, 236832, 236772, 236770, 236771, 8151, 53121, 236743, 236832, 236778, 237366, 236811, 236964, 236828, 236771, 237366, 236811, 236764, 22043, 35898, 531, 17635, 236764, 951, 6927, 138, 107, 236772, 5213, 6259, 11663, 74544, 53121, 4819, 529, 236743, 236828, 236819, 237366, 236811, 236764, 17635, 55748, 568, 87877, 684, 236743, 236770, 236778, 8711, 51599, 1262, 236768, 138, 107, 236772, 5213, 3503, 52586, 53121, 2301, 31632, 6584, 3097, 29892, 139938, 15074, 8174, 568, 27403, 236743, 236778, 236770, 236768, 138, 108, 1018, 86658, 236764, 16119, 568, 13149, 9620, 71887, 62902, 138, 107, 1018, 46325, 145984, 53121, 138, 107, 236772, 5213, 236770, 236778, 8711, 53121, 236743, 236828, 236832, 237366, 236811, 236764, 3582, 55748, 138, 107, 236772, 5213, 236800, 8711, 53121, 236743, 236828, 236819, 237366, 236811, 236764, 2321, 14958, 138, 107, 236772, 5213, 236825, 8711, 53121, 236743, 236828, 236810, 237366, 236811, 236764, 3582, 55748, 138, 107, 236772, 5213, 8985, 53121, 56358, 6927, 6584, 7808, 531, 38735, 568, 236770, 236771, 236908, 31632, 16922, 236764, 5142, 236743, 236778, 236771, 236764, 711, 8224, 12399, 236768, 138, 108, 1018, 87732, 172707, 53121, 138, 107, 236770, 236761, 5213, 132598, 8224, 53121, 30164, 573, 5597, 4301, 236786, 104309, 10884, 568, 1904, 6927, 4652, 1680, 37170, 236768, 138, 107, 236778, 236761, 5213, 86658, 8224, 53121, 26079, 6299, 3439, 573, 12399, 11710, 138, 107, 236800, 236761, 5213, 89740, 7918, 53121, 10508, 11024, 5524, 5453, 236772, 236828, 236771, 236751, 237366, 236811, 8224, 1271, 1161, 19296, 3546, 236743, 236832, 236862, 47989, 138, 108, 38786, 611, 1133, 496, 1626, 9960, 529, 36597, 236786, 98729, 2782, 653, 19296, 3546, 4889, 573, 3477, 4563, 531, 59638, 822, 11710, 4771, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 9813, 17507, 236888, 4224, 600, 506, 6927, 5889, 236858, 236745, 496, 8224, 7492, 236764, 564, 236858, 859, 10741, 2721, 580, 2214, 3325, 236761, 5612, 11421, 39839, 13935, 6468, 2214, 236764, 1451, 611, 1138, 236787, 236743, 236770, 236761, 5213, 171656, 236786, 98729, 2782, 1018, 573, 1800, 45158, 532, 37083, 580, 8224, 568, 27403, 236743, 236778, 236771, 20625, 236743, 236778, 236761, 5213, 27898, 3546, 11519, 3885, 1018, 573, 1546, 4563, 236881, 1174, 236858, 859, 1601, 786, 2731, 3363, 531, 5697, 531, 37083, 573, 36597, 11710, 653, 4196, 2263, 573, 12399, 66418, 236761, 6542, 236764, 768, 45158, 236858, 236751, 14711, 100146, 607, 506, 236743, 236825, 8711, 3582, 55748, 611, 6950, 236764, 564, 2473, 20327, 506, 5697, 532, 1076, 872, 1590, 236761, 3792, 236858, 236751, 25196, 672, 1679, 236888, 236743, 245838, 106, 107, 105, 4368, 107, 236777, 236789, 859, 2426, 768, 1023, 6436, 740, 2847, 506, 4767, 4889, 611, 1202, 573, 822, 25075, 6995, 1390, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 41907, 1083, 3714, 27495, 1083, 236743, 236832, 236778, 236764, 623, 77269, 1083, 623, 236825, 236810, 70887, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 827, 623, 44340, 1083, 623, 236771, 236761, 236778, 528, 827, 623, 7777, 1083, 623, 7783, 586, 35898, 607, 496, 6584, 529, 2214, 6927, 23179, 623, 180981, 236779, 52511, 1083, 78493, 2289, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 827, 623, 27495, 1083, 236743, 236832, 236800, 1263, 3714, 2289, 1083, 623, 236770, 236770, 236787, 236771, 236771, 8151, 827, 623, 27495, 1083, 236743, 236832, 236810, 1263, 3714, 2289, 1083, 623, 236770, 236778, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236832, 236832, 1263, 3714, 2289, 1083, 623, 236770, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236832, 236819, 1263, 3714, 2289, 1083, 623, 236778, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236828, 236770, 1263, 3714, 2289, 1083, 623, 236800, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236828, 236778, 1263, 3714, 2289, 1083, 623, 236812, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236828, 236770, 1263, 3714, 2289, 1083, 623, 236810, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236832, 236819, 1263, 3714, 2289, 1083, 623, 236825, 236787, 236771, 236771, 8711, 827, 623, 27495, 1083, 236743, 236832, 236832, 104960, 623, 7125, 1083, 623, 86658, 236764, 16119, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4002, 236779, 7617, 1083, 236743, 236832, 236810, 236761, 236778, 236764, 623, 77269, 1083, 236743, 236825, 236778, 236764, 623, 15879, 236779, 11243, 1083, 236743, 236770, 236771, 236761, 236810, 236764, 623, 44340, 1083, 236743, 236771, 236761, 236771, 236764, 623, 52511, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236825, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 11480, 1083, 236743, 236828, 236771, 236761, 236770, 236764, 623, 976, 1083, 236743, 236810, 236819, 236761, 236828, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 25938, 1604, 623, 7125, 1083, 623, 132598, 236764, 16119, 827, 623, 25441, 1083, 623, 46435, 15882, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 236774, 236770, 236810, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 75239, 496, 6749, 4186, 607, 1023, 7606, 1262, 7021, 1271, 506, 1346, 4803, 5904, 13630, 659, 16228, 59891, 14069, 568, 36022, 236743, 236778, 236771, 236778, 236800, 5205, 529, 5142, 236743, 236778, 236771, 236778, 236810, 236768, 532, 39119, 53892, 236761, 5978, 564, 740, 236789, 236745, 33205, 11459, 36597, 236786, 98729, 1262, 699, 506, 1873, 6436, 236764, 1590, 236789, 236751, 1144, 564, 740, 9128, 699, 1023, 3527, 13451, 3072, 236787, 108, 1018, 129647, 87560, 32288, 568, 2543, 5142, 236743, 236778, 236771, 236778, 236810, 1262, 1473, 1018, 107, 236770, 236761, 5213, 86658, 236764, 16119, 145984, 568, 27403, 236743, 236778, 236771, 1473, 1018, 236743, 107, 139, 236772, 25179, 55748, 657, 236743, 236825, 8711, 568, 50936, 573, 14711, 11710, 236768, 107, 139, 236772, 35267, 236787, 236743, 236828, 236810, 237366, 236811, 657, 236743, 236825, 8711, 568, 31704, 573, 11690, 981, 236768, 107, 139, 236772, 19296, 13291, 236787, 236743, 236832, 657, 37170, 568, 22468, 107118, 2214, 236764, 840, 30264, 684, 12399, 236768, 108, 236778, 236761, 5213, 132598, 236764, 16119, 33299, 568, 27403, 236743, 236778, 236771, 1473, 1018, 107, 139, 236772, 25179, 55748, 657, 236743, 236832, 236772, 236770, 236771, 8151, 568, 63914, 573, 36597, 11710, 236768, 107, 139, 236772, 35267, 236787, 236743, 236832, 236778, 236772, 236828, 236771, 237366, 236811, 568, 49123, 573, 3649, 10884, 236768, 107, 139, 236772, 2301, 31632, 4652, 568, 87877, 1343, 107118, 236768, 108, 1018, 211199, 53121, 138, 107, 26479, 506, 27662, 1262, 236787, 107, 236772, 1701, 5213, 152827, 11710, 1018, 607, 30927, 11139, 236787, 37083, 568, 236832, 236772, 236770, 236771, 8151, 236768, 107, 236772, 1701, 5213, 9900, 11663, 236786, 98729, 11710, 1018, 607, 3582, 55748, 236787, 45158, 568, 236800, 236772, 236832, 8711, 236768, 108, 38786, 611, 1133, 786, 531, 3600, 9302, 7606, 7021, 600, 2473, 735, 1873, 36597, 236786, 98729, 156909, 236764, 653, 1093, 611, 5278, 531, 7162, 607, 1239, 10778, 3439, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 7107, 496, 2803, 12089, 3733, 573, 1041, 6853, 236789, 236751, 16038, 12089, 236761, 5715, 236789, 236751, 1144, 564, 236789, 236753, 1133, 531, 776, 236787, 236743, 236770, 236761, 5315, 236764, 564, 1461, 531, 3204, 496, 2317, 11858, 1707, 1003, 506, 3433, 529, 1116, 12089, 236764, 837, 563, 5142, 236743, 236770, 236810, 594, 236764, 528, 506, 3733, 236761, 28344, 611, 1385, 872, 614, 6121, 1707, 1003, 5142, 236743, 236770, 236810, 594, 1699, 506, 3433, 1707, 5904, 236881, 236743, 236778, 236761, 9920, 692, 735, 600, 1707, 236764, 564, 236789, 236753, 1133, 531, 1161, 625, 531, 8729, 496, 28233, 12089, 3733, 607, 496, 3618, 600, 48110, 1800, 506, 3433, 1707, 532, 1023, 7659, 2765, 529, 49115, 236761, 28344, 611, 2619, 600, 3733, 573, 786, 1699, 506, 12089, 3733, 17579, 5904, 236881, 564, 1751, 672, 795, 1386, 1116, 12089, 4481, 2803, 607, 496, 3577, 6374, 600, 32407, 531, 1800, 1116, 12089, 3433, 532, 1023, 8126, 37999, 3075, 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, 29995, 1083, 3714, 1496, 1083, 623, 46456, 11995, 236764, 2506, 2483, 827, 623, 11283, 1083, 623, 46456, 11995, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18377, 1083, 623, 2791, 5142, 236743, 236770, 236810, 236764, 236743, 236770, 236828, 236800, 236825, 236764, 40288, 5452, 506, 236743, 236778, 236810, 594, 1883, 531, 6154, 506, 3640, 4184, 236761, 1174, 3433, 992, 12933, 506, 6672, 1502, 529, 35324, 45248, 3409, 528, 1551, 4688, 529, 3879, 236764, 496, 2317, 5603, 531, 822, 7659, 2765, 529, 49115, 41218, 623, 1896, 1083, 623, 27403, 236743, 236770, 236810, 827, 623, 124977, 236779, 5106, 1083, 623, 176289, 1883, 6325, 827, 623, 45737, 3999, 236779, 15516, 1083, 623, 174809, 14919, 12502, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 2619, 496, 28233, 12089, 3733, 1699, 506, 3433, 1707, 532, 822, 7659, 2765, 529, 49115, 236761, 5315, 236764, 1451, 611, 5091, 2847, 236787, 107, 236770, 236761, 5180, 6853, 236789, 236751, 1463, 568, 92757, 236768, 107, 236778, 236761, 5180, 1463, 568, 22298, 236768, 108, 3497, 672, 1938, 236764, 564, 236789, 859, 10946, 496, 2803, 3618, 600, 48110, 506, 40288, 1883, 6325, 11858, 5433, 532, 506, 35324, 14919, 5603, 531, 49115, 236761, 106, 107, 105, 2364, 107, 4754, 6853, 236789, 236751, 1463, 563, 46343, 236764, 532, 564, 236789, 236757, 9877, 236761, 1191, 236789, 560, 1010, 73669, 1023, 7972, 3075, 573, 236743, 236812, 236810, 1518, 753, 1304, 236789, 236751, 506, 886, 1015, 15033, 1041, 6172, 580, 506, 3866, 1651, 564, 5370, 573, 506, 7217, 607, 1041, 30336, 2547, 859, 3708, 236888, 564, 236789, 236753, 2765, 573, 506, 3733, 531, 4928, 1217, 1023, 7972, 815, 12530, 16195, 1023, 2765, 1024, 506, 1518, 236764, 7463, 607, 496, 16354, 531, 506, 35324, 14919, 14385, 692, 3931, 1056, 692, 2506, 11578, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6307, 236779, 547, 1083, 623, 11217, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236772, 9512, 827, 623, 4818, 1083, 623, 19631, 827, 623, 35432, 236779, 2451, 1083, 623, 2574, 1411, 52373, 25299, 236761, 8358, 236761, 854, 236786, 25299, 236786, 11217, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236772, 9512, 236786, 35432, 827, 623, 92757, 1083, 623, 206914, 827, 623, 22298, 1083, 623, 34326, 827, 623, 4375, 236779, 6011, 1083, 623, 33076, 1662, 3618, 40825, 5142, 236743, 236770, 236810, 594, 11858, 10797, 568, 176289, 1883, 6325, 833, 35324, 14919, 28968, 236768, 607, 49115, 143636, 1003, 236743, 236812, 236810, 1518, 529, 12722, 25938, 106, 107, 105, 4368, 107, 11069, 28233, 12089, 3733, 573, 46343, 815, 1010, 4464, 236888, 236743, 242560, 108, 1018, 9789, 20303, 53121, 107, 236772, 5213, 100368, 198284, 53121, 44234, 878, 40288, 10425, 496, 1883, 568, 27403, 236743, 236770, 236810, 236764, 236743, 236770, 236828, 236800, 236825, 236768, 532, 506, 6693, 35324, 14919, 14385, 107, 236772, 5213, 105411, 3999, 137944, 53121, 236743, 107, 138, 236772, 96294, 2547, 859, 3708, 50232, 573, 11403, 107, 138, 236772, 236743, 236812, 236810, 236772, 3704, 49115, 9338, 107, 138, 236772, 103740, 19126, 14385, 2338, 12722, 107, 236772, 5213, 33076, 18394, 53121, 1191, 3740, 822, 7659, 2765, 529, 49115, 607, 506, 3433, 236789, 236751, 4083, 108, 3048, 740, 18201, 506, 3733, 1590, 236787, 138, 107, 236840, 9789, 52973, 10297, 5457, 2574, 1411, 52373, 25299, 236761, 8358, 236761, 854, 236786, 25299, 236786, 11217, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236772, 9512, 236786, 35432, 236768, 108, 38786, 611, 1133, 786, 531, 1386, 1027, 30981, 531, 506, 3618, 653, 1138, 3530, 49115, 41001, 568, 5282, 32568, 236764, 29979, 236764, 653, 53098, 236768, 531, 506, 1702, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 7107, 496, 2803, 12089, 3733, 573, 1041, 6853, 236789, 236751, 16038, 12089, 236761, 5715, 236789, 236751, 1144, 564, 236789, 236753, 1133, 531, 776, 236787, 236743, 236770, 236761, 5315, 236764, 564, 1461, 531, 3204, 496, 2317, 11858, 1707, 1003, 506, 3433, 529, 1116, 12089, 236764, 837, 563, 5142, 236743, 236770, 236810, 594, 236764, 528, 506, 3733, 236761, 28344, 611, 1385, 872, 614, 6121, 1707, 1003, 5142, 236743, 236770, 236810, 594, 1699, 506, 3433, 1707, 5904, 236881, 236743, 236778, 236761, 9920, 692, 735, 600, 1707, 236764, 564, 236789, 236753, 1133, 531, 1161, 625, 531, 8729, 496, 28233, 12089, 3733, 607, 496, 3618, 600, 48110, 1800, 506, 3433, 1707, 532, 1023, 7659, 2765, 529, 49115, 236761, 28344, 611, 2619, 600, 3733, 573, 786, 1699, 506, 12089, 3733, 17579, 5904, 236881, 564, 1751, 672, 795, 1386, 1116, 12089, 4481, 2803, 607, 496, 3577, 6374, 600, 32407, 531, 1800, 1116, 12089, 3433, 532, 1023, 8126, 37999, 3075, 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, 29995, 1083, 3714, 1496, 1083, 623, 46456, 11995, 236764, 2506, 2483, 827, 623, 11283, 1083, 623, 46456, 11995, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18377, 1083, 623, 2791, 5142, 236743, 236770, 236810, 236764, 236743, 236770, 236828, 236800, 236825, 236764, 40288, 5452, 506, 236743, 236778, 236810, 594, 1883, 531, 6154, 506, 3640, 4184, 236761, 1174, 3433, 992, 12933, 506, 6672, 1502, 529, 35324, 45248, 3409, 528, 1551, 4688, 529, 3879, 236764, 496, 2317, 5603, 531, 822, 7659, 2765, 529, 49115, 41218, 623, 1896, 1083, 623, 27403, 236743, 236770, 236810, 827, 623, 124977, 236779, 5106, 1083, 623, 176289, 1883, 6325, 827, 623, 45737, 3999, 236779, 15516, 1083, 623, 174809, 14919, 12502, 25938, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 2619, 496, 28233, 12089, 3733, 1699, 506, 3433, 1707, 532, 822, 7659, 2765, 529, 49115, 236761, 5315, 236764, 1451, 611, 5091, 2847, 236787, 107, 236770, 236761, 5180, 6853, 236789, 236751, 1463, 568, 92757, 236768, 107, 236778, 236761, 5180, 1463, 568, 22298, 236768, 108, 3497, 672, 1938, 236764, 564, 236789, 859, 10946, 496, 2803, 3618, 600, 48110, 506, 40288, 1883, 6325, 11858, 5433, 532, 506, 35324, 14919, 5603, 531, 49115, 236761, 106, 107, 105, 2364, 107, 4754, 6853, 236789, 236751, 1463, 563, 46343, 236764, 532, 564, 236789, 236757, 9877, 236761, 1191, 236789, 560, 1010, 73669, 1023, 7972, 3075, 573, 236743, 236812, 236810, 1518, 753, 1304, 236789, 236751, 506, 886, 1015, 15033, 1041, 6172, 580, 506, 3866, 1651, 564, 5370, 573, 506, 7217, 607, 1041, 30336, 2547, 859, 3708, 236888, 564, 236789, 236753, 2765, 573, 506, 3733, 531, 4928, 1217, 1023, 7972, 815, 12530, 16195, 1023, 2765, 1024, 506, 1518, 236764, 7463, 607, 496, 16354, 531, 506, 35324, 14919, 14385, 692, 3931, 1056, 692, 2506, 11578, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6307, 236779, 547, 1083, 623, 11217, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236772, 9512, 827, 623, 4818, 1083, 623, 19631, 827, 623, 35432, 236779, 2451, 1083, 623, 2574, 1411, 52373, 25299, 236761, 8358, 236761, 854, 236786, 25299, 236786, 11217, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236772, 9512, 236786, 35432, 827, 623, 92757, 1083, 623, 206914, 827, 623, 22298, 1083, 623, 34326, 827, 623, 4375, 236779, 6011, 1083, 623, 33076, 1662, 3618, 40825, 5142, 236743, 236770, 236810, 594, 11858, 10797, 568, 176289, 1883, 6325, 833, 35324, 14919, 28968, 236768, 607, 49115, 143636, 1003, 236743, 236812, 236810, 1518, 529, 12722, 25938, 106, 107, 105, 4368, 107, 11069, 28233, 12089, 3733, 573, 46343, 815, 1010, 4464, 236888, 236743, 242560, 108, 1018, 9789, 20303, 53121, 107, 236772, 5213, 100368, 198284, 53121, 44234, 878, 40288, 10425, 496, 1883, 568, 27403, 236743, 236770, 236810, 236764, 236743, 236770, 236828, 236800, 236825, 236768, 532, 506, 6693, 35324, 14919, 14385, 107, 236772, 5213, 105411, 3999, 137944, 53121, 236743, 107, 138, 236772, 96294, 2547, 859, 3708, 50232, 573, 11403, 107, 138, 236772, 236743, 236812, 236810, 236772, 3704, 49115, 9338, 107, 138, 236772, 103740, 19126, 14385, 2338, 12722, 107, 236772, 5213, 33076, 18394, 53121, 1191, 3740, 822, 7659, 2765, 529, 49115, 607, 506, 3433, 236789, 236751, 4083, 108, 3048, 740, 18201, 506, 3733, 1590, 236787, 138, 107, 236840, 9789, 52973, 10297, 5457, 2574, 1411, 52373, 25299, 236761, 8358, 236761, 854, 236786, 25299, 236786, 11217, 236780, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 236772, 9512, 236786, 35432, 236768, 108, 38786, 611, 1133, 786, 531, 1386, 1027, 30981, 531, 506, 3618, 653, 1138, 3530, 49115, 41001, 568, 5282, 32568, 236764, 29979, 236764, 653, 53098, 236768, 531, 506, 1702, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1586, 1070, 4913, 118252, 4596, 531, 3399, 49115, 532, 56241, 67981, 573, 1041, 10365, 12714, 236761, 3199, 611, 1601, 786, 6878, 7798, 118252, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 46640, 105411, 3999, 827, 13659, 66057, 236811, 36778, 827, 13659, 174779, 58106, 827, 13659, 17224, 46640, 827, 13659, 115232, 68494, 827, 13659, 13149, 105411, 832, 827, 13659, 32051, 226035, 827, 13659, 147716, 83899, 827, 13659, 46640, 17224, 827, 13659, 44412, 68494, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236832, 236764, 623, 10618, 1083, 623, 125595, 236779, 236751, 152405, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 137112, 4073, 1083, 11058, 236865, 27671, 658, 5227, 827, 13659, 27671, 52531, 827, 13659, 45946, 66078, 913, 827, 13659, 29235, 66078, 13628, 827, 13659, 80401, 122949, 827, 13659, 166066, 902, 27671, 827, 13659, 36177, 122640, 827, 13659, 27671, 21114, 17039, 99471, 106, 107, 105, 4368, 107, 8291, 659, 1070, 4913, 118252, 573, 822, 14050, 236787, 108, 1018, 46640, 166858, 53121, 107, 236772, 997, 46640, 105411, 3999, 107, 236772, 997, 66057, 236811, 36778, 107, 236772, 997, 174779, 58106, 107, 236772, 997, 17224, 46640, 107, 236772, 997, 115232, 68494, 107, 236772, 997, 13149, 105411, 832, 107, 236772, 997, 32051, 226035, 107, 236772, 997, 147716, 83899, 107, 236772, 997, 46640, 17224, 107, 236772, 997, 44412, 68494, 138, 107, 16907, 69694, 665, 6317, 236787, 236743, 236828, 236761, 236832, 236786, 236770, 236771, 528, 8646, 24488, 12016, 108, 1018, 27671, 44234, 5227, 53121, 107, 236772, 997, 27671, 658, 5227, 107, 236772, 997, 27671, 52531, 107, 236772, 997, 45946, 66078, 913, 107, 236772, 997, 29235, 66078, 13628, 107, 236772, 997, 80401, 122949, 107, 236772, 997, 166066, 902, 27671, 107, 236772, 997, 36177, 122640, 107, 236772, 997, 27671, 21114, 17039, 108, 2542, 1791, 2536, 236764, 17794, 236743, 236800, 236772, 236810, 7798, 118252, 810, 1868, 532, 1966, 8009, 4563, 236772, 5140, 16616, 568, 236744, 236761, 236759, 1126, 997, 11069, 17698, 105411, 832, 236768, 653, 60194, 56241, 4993, 16616, 236761, 21284, 611, 1133, 786, 531, 59638, 1239, 3342, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1601, 786, 1586, 5158, 10365, 5089, 1015, 11572, 1161, 1239, 118252, 236881, 564, 236789, 236753, 1133, 531, 3371, 607, 3496, 528, 506, 3399, 49115, 532, 56241, 67981, 9952, 236761, 15704, 3927, 573, 20183, 600, 14578, 1868, 607, 997, 46640, 105411, 3999, 532, 997, 27671, 658, 5227, 16616, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12641, 1083, 78493, 11668, 1083, 623, 45737, 1026, 236779, 12698, 827, 623, 10602, 236779, 1201, 1083, 623, 96024, 8943, 827, 623, 36627, 1083, 623, 8653, 84242, 1003, 3399, 49115, 532, 11321, 24488, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236770, 827, 623, 76647, 236779, 2861, 1083, 236743, 236770, 236810, 236771, 236771, 236764, 623, 43852, 236779, 22487, 236779, 2861, 1083, 236743, 236778, 236810, 1263, 3714, 11668, 1083, 623, 10671, 236779, 88529, 827, 623, 10602, 236779, 1201, 1083, 623, 45731, 11860, 827, 623, 36627, 1083, 623, 23240, 4266, 2263, 49115, 28023, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236755, 1109, 997, 46640, 105411, 3999, 32371, 827, 623, 76647, 236779, 2861, 1083, 236743, 236778, 236800, 236771, 236771, 236764, 623, 43852, 236779, 22487, 236779, 2861, 1083, 236743, 236812, 236771, 1263, 3714, 11668, 1083, 623, 8819, 236779, 109645, 827, 623, 10602, 236779, 1201, 1083, 623, 23621, 11629, 827, 623, 36627, 1083, 623, 21301, 10316, 3399, 49115, 528, 9979, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236800, 1109, 18592, 72391, 827, 623, 76647, 236779, 2861, 1083, 236743, 236800, 236812, 236771, 236771, 236764, 623, 43852, 236779, 22487, 236779, 2861, 1083, 236743, 236770, 236810, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 4874, 236779, 4000, 236779, 1114, 1083, 623, 1072, 212582, 115575, 15967, 236777, 94743, 32588, 236771, 718, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 11668, 1083, 623, 27671, 93387, 1489, 827, 623, 10602, 236779, 1201, 1083, 623, 26749, 72558, 827, 623, 36627, 1083, 623, 101068, 10974, 607, 56241, 69806, 27768, 1109, 997, 27671, 658, 5227, 32371, 1109, 31016, 833, 72391, 827, 623, 76647, 236779, 2861, 1083, 236743, 236770, 236812, 236778, 236771, 236771, 236764, 623, 22487, 1083, 78493, 21151, 1083, 623, 211703, 4025, 7621, 13444, 607, 1023, 6524, 67981, 34934, 236888, 621, 689, 236828, 236800, 236744, 236785, 689, 98116, 236785, 689, 236828, 236800, 236753, 236785, 9646, 236778, 236755, 997, 27671, 658, 5227, 827, 623, 56652, 1083, 236743, 236778, 236800, 236812, 236810, 200808, 3714, 11668, 1083, 623, 115232, 44412, 27671, 827, 623, 10602, 236779, 1201, 1083, 623, 23621, 15416, 827, 623, 36627, 1083, 623, 155571, 3801, 3399, 49115, 833, 56241, 4993, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236770, 1109, 39405, 8575, 1109, 997, 66057, 27671, 827, 623, 76647, 236779, 2861, 1083, 236743, 236828, 236819, 236771, 236771, 236764, 623, 22487, 1083, 78493, 21151, 1083, 623, 17076, 236789, 236751, 18669, 9292, 190070, 833, 20446, 35439, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236760, 236785, 689, 236828, 236800, 236753, 236785, 689, 236755, 9579, 997, 27671, 658, 5227, 997, 46640, 105411, 3999, 827, 623, 56652, 1083, 236743, 236770, 236810, 236825, 236771, 200808, 3714, 11668, 1083, 623, 21567, 25242, 101708, 827, 623, 10602, 236779, 1201, 1083, 623, 9231, 236761, 212546, 30688, 827, 623, 36627, 1083, 623, 27671, 6334, 14984, 1109, 44611, 2958, 30892, 6812, 37171, 1109, 997, 27671, 1708, 3243, 827, 623, 76647, 236779, 2861, 1083, 236743, 236778, 236770, 236810, 236771, 236771, 236764, 623, 22487, 1083, 78493, 21151, 1083, 623, 66078, 5227, 6508, 236787, 2088, 531, 2016, 10805, 528, 56241, 22555, 621, 689, 236828, 236800, 236753, 236785, 689, 236755, 236825, 236819, 236785, 689, 236828, 236800, 236753, 236785, 9646, 236778, 236755, 997, 27671, 658, 5227, 827, 623, 56652, 1083, 236743, 236800, 236770, 236771, 236771, 15947, 104960, 623, 6725, 236779, 25541, 1083, 236743, 236800, 236832, 236764, 623, 3278, 236779, 3456, 1083, 623, 27671, 67981, 25938, 106, 107, 105, 4368, 107, 8291, 659, 5158, 10365, 5089, 21964, 607, 1800, 8904, 236787, 108, 1018, 46640, 166858, 170706, 53121, 107, 236770, 236761, 5213, 236940, 45737, 1026, 236779, 12698, 1018, 568, 236770, 236761, 236810, 236767, 23073, 236768, 138, 107, 139, 46065, 236787, 623, 8653, 84242, 1003, 3399, 49115, 532, 11321, 24488, 178829, 236775, 138, 107, 139, 47619, 4588, 236787, 236743, 236778, 236810, 12714, 138, 108, 236778, 236761, 5213, 236940, 10671, 236779, 88529, 1018, 568, 236778, 236761, 236800, 236767, 23073, 236768, 138, 107, 139, 46065, 236787, 623, 23240, 4266, 2263, 49115, 28023, 236743, 244608, 1109, 997, 46640, 105411, 3999, 32371, 236775, 138, 107, 139, 47619, 4588, 236787, 236743, 236812, 236771, 12714, 138, 108, 236800, 236761, 5213, 236940, 8819, 236779, 109645, 1018, 568, 236800, 236761, 236812, 236767, 23073, 236768, 138, 107, 139, 46065, 236787, 623, 21301, 10316, 3399, 49115, 528, 9979, 236743, 247221, 1109, 18592, 72391, 236775, 138, 108, 1018, 27671, 44234, 5227, 27557, 53121, 138, 107, 236770, 236761, 5213, 236940, 27671, 93387, 1489, 1018, 568, 236770, 236812, 236761, 236778, 236767, 23073, 236768, 138, 107, 139, 46065, 236787, 623, 101068, 10974, 607, 56241, 69806, 27768, 236743, 251646, 1109, 31016, 833, 72391, 236775, 138, 107, 139, 47619, 1868, 236787, 623, 211703, 4025, 7621, 13444, 607, 1023, 6524, 67981, 34934, 236888, 997, 27671, 658, 5227, 236775, 138, 108, 236778, 236761, 5213, 236940, 115232, 44412, 27671, 1018, 568, 236828, 236761, 236819, 236767, 23073, 236768, 138, 107, 139, 46065, 236787, 623, 155571, 3801, 3399, 49115, 833, 56241, 4993, 178829, 1109, 39405, 8575, 236775, 138, 107, 139, 47619, 1868, 236787, 623, 17076, 236789, 236751, 18669, 9292, 190070, 833, 20446, 35439, 236888, 997, 27671, 658, 5227, 997, 46640, 105411, 3999, 236775, 138, 108, 236800, 236761, 5213, 236940, 21567, 25242, 101708, 1018, 568, 236778, 236770, 236761, 236810, 236767, 23073, 236768, 138, 107, 139, 46065, 236787, 623, 27671, 6334, 14984, 1109, 44611, 2958, 30892, 6812, 37171, 236775, 138, 107, 139, 47619, 1868, 236787, 623, 66078, 5227, 6508, 236787, 2088, 531, 2016, 10805, 528, 56241, 22555, 236743, 243767, 249689, 997, 27671, 658, 5227, 236775, 138, 108, 1018, 9272, 50228, 573, 27618, 53121, 138, 107, 236772, 12808, 1239, 190812, 580, 10365, 532, 15474, 607, 910, 4803, 12714, 138, 107, 236772, 6890, 506, 118252, 997, 46640, 105411, 3999, 532, 997, 27671, 658, 5227, 528, 822, 1852, 3004, 531, 3196, 528, 910, 40037, 138, 107, 236772, 1701, 919, 2536, 236764, 564, 740, 12270, 4767, 7704, 1699, 506, 2165, 4874, 236779, 4000, 236779, 1114, 236929, 699, 506, 3927, 2536, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 3213, 580, 1027, 3530, 1159, 236772, 236749, 7896, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1385, 19276, 1131, 1392, 115232, 44412, 27671, 236789, 236751, 8781, 2338, 901, 17794, 1800, 10521, 236761, 28344, 611, 33205, 910, 4803, 12714, 532, 3925, 20756, 531, 1460, 1144, 2712, 529, 3004, 901, 236789, 500, 11211, 236881, 564, 236789, 236753, 1133, 531, 3050, 910, 4313, 531, 66051, 49115, 532, 56241, 4993, 236761, 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, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7633, 1083, 78493, 3274, 236779, 547, 1083, 623, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 827, 623, 3955, 1083, 623, 3910, 531, 2016, 496, 10321, 236772, 36359, 3732, 56661, 1458, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236770, 236785, 236756, 236778, 236825, 236771, 236771, 236785, 77118, 236771, 236760, 87135, 25332, 532, 9295, 531, 3786, 24488, 236761, 997, 27671, 52531, 997, 105411, 3999, 29235, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 80465, 236779, 45312, 236761, 4034, 827, 623, 56652, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236828, 236819, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 3274, 236779, 547, 1083, 623, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236810, 827, 623, 3955, 1083, 623, 162117, 21708, 4535, 528, 2033, 44166, 236888, 621, 689, 236828, 236800, 236744, 236785, 689, 98116, 9429, 3801, 1131, 20133, 1651, 6730, 76173, 236761, 997, 45946, 902, 4396, 997, 66057, 105411, 3999, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 854, 3274, 236779, 791, 236761, 4034, 827, 623, 56652, 1083, 236743, 236819, 236828, 236771, 236764, 623, 26329, 1083, 236743, 236825, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236812, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 4874, 236779, 2074, 236779, 547, 1083, 623, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236825, 827, 623, 5594, 236779, 5576, 1083, 1847, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 10934, 1083, 1847, 236764, 623, 209668, 1083, 78493, 3250, 1083, 623, 105411, 3999, 33879, 827, 623, 10494, 1083, 78493, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236770, 236761, 4034, 827, 623, 21151, 1083, 623, 3910, 531, 3732, 29979, 528, 11321, 9952, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236770, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236778, 236761, 4034, 827, 623, 21151, 1083, 623, 1558, 120136, 100057, 573, 1944, 26318, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236760, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236770, 236770, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 21052, 1083, 3714, 54012, 236779, 547, 1083, 623, 17287, 236770, 236778, 236800, 236812, 236810, 827, 623, 4711, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 4711, 236770, 236761, 4034, 236775, 5237, 3714, 3250, 1083, 623, 27671, 37747, 827, 623, 10494, 1083, 78493, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236800, 236761, 4034, 827, 623, 21151, 1083, 623, 36161, 496, 10321, 236772, 36359, 33314, 1458, 621, 236756, 236778, 236825, 236771, 236771, 236785, 77118, 236771, 236760, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 236774, 236770, 236812, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236812, 236761, 2720, 236812, 827, 623, 21151, 1083, 623, 2866, 236772, 165949, 529, 3732, 3877, 607, 21708, 21615, 621, 689, 236828, 236800, 236753, 236785, 689, 24035, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 21052, 1083, 3714, 54012, 236779, 547, 1083, 623, 17287, 236825, 236832, 236828, 236819, 236771, 827, 623, 4711, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 4711, 236778, 236761, 4034, 127096, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 614, 3671, 529, 1392, 115232, 44412, 27671, 236789, 236751, 3004, 66051, 49115, 532, 56241, 4993, 236787, 108, 1018, 47619, 49040, 53121, 107, 236770, 236761, 5213, 75896, 236772, 106731, 15748, 202761, 1804, 1018, 138, 107, 139, 236772, 16748, 236787, 11873, 2279, 3788, 496, 14896, 236772, 47452, 33314, 1458, 138, 107, 139, 236772, 161840, 4073, 236787, 997, 27671, 52531, 997, 105411, 3999, 29235, 138, 107, 139, 236772, 63010, 236787, 236743, 236770, 236764, 236778, 236810, 236771, 15975, 236764, 236743, 236828, 236819, 8968, 138, 107, 139, 236772, 24246, 236787, 870, 75896, 7972, 10061, 5457, 2574, 1411, 8358, 236761, 854, 236786, 80465, 236779, 45312, 236761, 4034, 236768, 138, 108, 236778, 236761, 5213, 1558, 3274, 21708, 26581, 1018, 138, 107, 139, 236772, 16748, 236787, 57999, 1090, 9295, 64418, 7257, 607, 11639, 17747, 138, 107, 139, 236772, 161840, 4073, 236787, 997, 45946, 902, 4396, 997, 66057, 105411, 3999, 138, 107, 139, 236772, 63010, 236787, 236743, 236819, 236828, 236771, 15975, 236764, 236743, 236825, 236832, 8968, 138, 107, 139, 236772, 24246, 236787, 870, 22971, 7257, 10884, 5457, 2574, 1411, 8358, 236761, 854, 236786, 854, 3274, 236779, 791, 236761, 4034, 236768, 138, 108, 1018, 32214, 70731, 53121, 107, 236770, 236761, 5213, 105411, 3999, 33879, 12142, 1018, 138, 107, 139, 236772, 66864, 236787, 96294, 29080, 236764, 144413, 100057, 138, 107, 139, 236772, 36353, 236787, 165694, 529, 4876, 607, 31115, 524, 11221, 568, 27393, 236743, 236770, 236771, 236772, 236770, 236810, 236768, 138, 107, 139, 236772, 20864, 236787, 870, 105411, 3999, 11221, 30658, 5457, 2574, 1411, 8358, 236761, 854, 236786, 4711, 236770, 236761, 4034, 236768, 138, 108, 236778, 236761, 5213, 27671, 37747, 40187, 1018, 138, 107, 139, 236772, 108632, 236787, 29277, 33314, 2016, 236764, 3732, 3877, 990, 236772, 165949, 607, 21615, 138, 107, 139, 236772, 36353, 236787, 29785, 529, 4876, 532, 2948, 568, 16603, 870, 50355, 2203, 2948, 5457, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236812, 236761, 2720, 236812, 1223, 138, 107, 139, 236772, 20864, 236787, 870, 27671, 5699, 30658, 5457, 2574, 1411, 8358, 236761, 854, 236786, 4711, 236778, 236761, 4034, 236768, 138, 108, 1018, 3503, 12774, 50914, 53121, 138, 107, 236772, 5213, 4795, 34428, 53121, 21807, 1472, 10231, 49115, 568, 197818, 236764, 144413, 236768, 607, 56241, 14485, 568, 109749, 236764, 20133, 236768, 138, 107, 236772, 5213, 11238, 53121, 65284, 1800, 528, 236772, 15104, 12714, 532, 28721, 236772, 21928, 3925, 20756, 573, 1607, 15154, 14062, 138, 107, 236772, 5213, 164003, 59303, 53121, 150489, 49115, 618, 496, 4916, 236772, 498, 56241, 4735, 5904, 138, 107, 236772, 5213, 69694, 137944, 53121, 72143, 568, 236832, 236828, 236908, 529, 12714, 779, 14896, 12434, 236764, 26396, 6647, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 121353, 910, 84014, 15154, 9935, 236881, 138, 107, 236778, 236761, 59336, 3361, 3004, 6549, 573, 822, 1852, 8781, 236881, 138, 107, 236800, 236761, 40656, 3530, 2203, 11808, 699, 910, 12714, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1586, 1070, 4913, 118252, 4596, 531, 3399, 49115, 532, 56241, 67981, 573, 1041, 10365, 12714, 236761, 3199, 611, 1601, 786, 6878, 7798, 118252, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 10619, 236779, 137112, 4073, 1083, 11058, 236865, 46640, 105411, 3999, 827, 13659, 66057, 236811, 36778, 827, 13659, 174779, 58106, 827, 13659, 17224, 46640, 827, 13659, 115232, 68494, 827, 13659, 13149, 105411, 832, 827, 13659, 32051, 226035, 827, 13659, 147716, 83899, 827, 13659, 46640, 17224, 827, 13659, 44412, 68494, 14255, 623, 228652, 236779, 8318, 1083, 236743, 236828, 236761, 236832, 236764, 623, 10618, 1083, 623, 125595, 236779, 236751, 152405, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 137112, 4073, 1083, 11058, 236865, 27671, 658, 5227, 827, 13659, 27671, 52531, 827, 13659, 45946, 66078, 913, 827, 13659, 29235, 66078, 13628, 827, 13659, 80401, 122949, 827, 13659, 166066, 902, 27671, 827, 13659, 36177, 122640, 827, 13659, 27671, 21114, 17039, 99471, 106, 107, 105, 4368, 107, 8291, 659, 1070, 4913, 118252, 573, 822, 14050, 236787, 108, 1018, 46640, 166858, 53121, 107, 236772, 997, 46640, 105411, 3999, 107, 236772, 997, 66057, 236811, 36778, 107, 236772, 997, 174779, 58106, 107, 236772, 997, 17224, 46640, 107, 236772, 997, 115232, 68494, 107, 236772, 997, 13149, 105411, 832, 107, 236772, 997, 32051, 226035, 107, 236772, 997, 147716, 83899, 107, 236772, 997, 46640, 17224, 107, 236772, 997, 44412, 68494, 138, 107, 16907, 69694, 665, 6317, 236787, 236743, 236828, 236761, 236832, 236786, 236770, 236771, 528, 8646, 24488, 12016, 108, 1018, 27671, 44234, 5227, 53121, 107, 236772, 997, 27671, 658, 5227, 107, 236772, 997, 27671, 52531, 107, 236772, 997, 45946, 66078, 913, 107, 236772, 997, 29235, 66078, 13628, 107, 236772, 997, 80401, 122949, 107, 236772, 997, 166066, 902, 27671, 107, 236772, 997, 36177, 122640, 107, 236772, 997, 27671, 21114, 17039, 108, 2542, 1791, 2536, 236764, 17794, 236743, 236800, 236772, 236810, 7798, 118252, 810, 1868, 532, 1966, 8009, 4563, 236772, 5140, 16616, 568, 236744, 236761, 236759, 1126, 997, 11069, 17698, 105411, 832, 236768, 653, 60194, 56241, 4993, 16616, 236761, 21284, 611, 1133, 786, 531, 59638, 1239, 3342, 236881, 106, 107, 105, 2364, 107, 30092, 611, 1601, 786, 1586, 5158, 10365, 5089, 1015, 11572, 1161, 1239, 118252, 236881, 564, 236789, 236753, 1133, 531, 3371, 607, 3496, 528, 506, 3399, 49115, 532, 56241, 67981, 9952, 236761, 15704, 3927, 573, 20183, 600, 14578, 1868, 607, 997, 46640, 105411, 3999, 532, 997, 27671, 658, 5227, 16616, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12641, 1083, 78493, 11668, 1083, 623, 45737, 1026, 236779, 12698, 827, 623, 10602, 236779, 1201, 1083, 623, 96024, 8943, 827, 623, 36627, 1083, 623, 8653, 84242, 1003, 3399, 49115, 532, 11321, 24488, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236770, 827, 623, 76647, 236779, 2861, 1083, 236743, 236770, 236810, 236771, 236771, 236764, 623, 43852, 236779, 22487, 236779, 2861, 1083, 236743, 236778, 236810, 1263, 3714, 11668, 1083, 623, 10671, 236779, 88529, 827, 623, 10602, 236779, 1201, 1083, 623, 45731, 11860, 827, 623, 36627, 1083, 623, 23240, 4266, 2263, 49115, 28023, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236755, 1109, 997, 46640, 105411, 3999, 32371, 827, 623, 76647, 236779, 2861, 1083, 236743, 236778, 236800, 236771, 236771, 236764, 623, 43852, 236779, 22487, 236779, 2861, 1083, 236743, 236812, 236771, 1263, 3714, 11668, 1083, 623, 8819, 236779, 109645, 827, 623, 10602, 236779, 1201, 1083, 623, 23621, 11629, 827, 623, 36627, 1083, 623, 21301, 10316, 3399, 49115, 528, 9979, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236800, 1109, 18592, 72391, 827, 623, 76647, 236779, 2861, 1083, 236743, 236800, 236812, 236771, 236771, 236764, 623, 43852, 236779, 22487, 236779, 2861, 1083, 236743, 236770, 236810, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 4874, 236779, 4000, 236779, 1114, 1083, 623, 1072, 212582, 115575, 15967, 236777, 94743, 32588, 236771, 718, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 11668, 1083, 623, 27671, 93387, 1489, 827, 623, 10602, 236779, 1201, 1083, 623, 26749, 72558, 827, 623, 36627, 1083, 623, 101068, 10974, 607, 56241, 69806, 27768, 1109, 997, 27671, 658, 5227, 32371, 1109, 31016, 833, 72391, 827, 623, 76647, 236779, 2861, 1083, 236743, 236770, 236812, 236778, 236771, 236771, 236764, 623, 22487, 1083, 78493, 21151, 1083, 623, 211703, 4025, 7621, 13444, 607, 1023, 6524, 67981, 34934, 236888, 621, 689, 236828, 236800, 236744, 236785, 689, 98116, 236785, 689, 236828, 236800, 236753, 236785, 9646, 236778, 236755, 997, 27671, 658, 5227, 827, 623, 56652, 1083, 236743, 236778, 236800, 236812, 236810, 200808, 3714, 11668, 1083, 623, 115232, 44412, 27671, 827, 623, 10602, 236779, 1201, 1083, 623, 23621, 15416, 827, 623, 36627, 1083, 623, 155571, 3801, 3399, 49115, 833, 56241, 4993, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236770, 1109, 39405, 8575, 1109, 997, 66057, 27671, 827, 623, 76647, 236779, 2861, 1083, 236743, 236828, 236819, 236771, 236771, 236764, 623, 22487, 1083, 78493, 21151, 1083, 623, 17076, 236789, 236751, 18669, 9292, 190070, 833, 20446, 35439, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236760, 236785, 689, 236828, 236800, 236753, 236785, 689, 236755, 9579, 997, 27671, 658, 5227, 997, 46640, 105411, 3999, 827, 623, 56652, 1083, 236743, 236770, 236810, 236825, 236771, 200808, 3714, 11668, 1083, 623, 21567, 25242, 101708, 827, 623, 10602, 236779, 1201, 1083, 623, 9231, 236761, 212546, 30688, 827, 623, 36627, 1083, 623, 27671, 6334, 14984, 1109, 44611, 2958, 30892, 6812, 37171, 1109, 997, 27671, 1708, 3243, 827, 623, 76647, 236779, 2861, 1083, 236743, 236778, 236770, 236810, 236771, 236771, 236764, 623, 22487, 1083, 78493, 21151, 1083, 623, 66078, 5227, 6508, 236787, 2088, 531, 2016, 10805, 528, 56241, 22555, 621, 689, 236828, 236800, 236753, 236785, 689, 236755, 236825, 236819, 236785, 689, 236828, 236800, 236753, 236785, 9646, 236778, 236755, 997, 27671, 658, 5227, 827, 623, 56652, 1083, 236743, 236800, 236770, 236771, 236771, 15947, 104960, 623, 6725, 236779, 25541, 1083, 236743, 236800, 236832, 236764, 623, 3278, 236779, 3456, 1083, 623, 27671, 67981, 25938, 106, 107, 105, 4368, 107, 8291, 659, 5158, 10365, 5089, 21964, 607, 1800, 8904, 236787, 108, 1018, 46640, 166858, 170706, 53121, 107, 236770, 236761, 5213, 236940, 45737, 1026, 236779, 12698, 1018, 568, 236770, 236761, 236810, 236767, 23073, 236768, 138, 107, 139, 46065, 236787, 623, 8653, 84242, 1003, 3399, 49115, 532, 11321, 24488, 178829, 236775, 138, 107, 139, 47619, 4588, 236787, 236743, 236778, 236810, 12714, 138, 108, 236778, 236761, 5213, 236940, 10671, 236779, 88529, 1018, 568, 236778, 236761, 236800, 236767, 23073, 236768, 138, 107, 139, 46065, 236787, 623, 23240, 4266, 2263, 49115, 28023, 236743, 244608, 1109, 997, 46640, 105411, 3999, 32371, 236775, 138, 107, 139, 47619, 4588, 236787, 236743, 236812, 236771, 12714, 138, 108, 236800, 236761, 5213, 236940, 8819, 236779, 109645, 1018, 568, 236800, 236761, 236812, 236767, 23073, 236768, 138, 107, 139, 46065, 236787, 623, 21301, 10316, 3399, 49115, 528, 9979, 236743, 247221, 1109, 18592, 72391, 236775, 138, 108, 1018, 27671, 44234, 5227, 27557, 53121, 138, 107, 236770, 236761, 5213, 236940, 27671, 93387, 1489, 1018, 568, 236770, 236812, 236761, 236778, 236767, 23073, 236768, 138, 107, 139, 46065, 236787, 623, 101068, 10974, 607, 56241, 69806, 27768, 236743, 251646, 1109, 31016, 833, 72391, 236775, 138, 107, 139, 47619, 1868, 236787, 623, 211703, 4025, 7621, 13444, 607, 1023, 6524, 67981, 34934, 236888, 997, 27671, 658, 5227, 236775, 138, 108, 236778, 236761, 5213, 236940, 115232, 44412, 27671, 1018, 568, 236828, 236761, 236819, 236767, 23073, 236768, 138, 107, 139, 46065, 236787, 623, 155571, 3801, 3399, 49115, 833, 56241, 4993, 178829, 1109, 39405, 8575, 236775, 138, 107, 139, 47619, 1868, 236787, 623, 17076, 236789, 236751, 18669, 9292, 190070, 833, 20446, 35439, 236888, 997, 27671, 658, 5227, 997, 46640, 105411, 3999, 236775, 138, 108, 236800, 236761, 5213, 236940, 21567, 25242, 101708, 1018, 568, 236778, 236770, 236761, 236810, 236767, 23073, 236768, 138, 107, 139, 46065, 236787, 623, 27671, 6334, 14984, 1109, 44611, 2958, 30892, 6812, 37171, 236775, 138, 107, 139, 47619, 1868, 236787, 623, 66078, 5227, 6508, 236787, 2088, 531, 2016, 10805, 528, 56241, 22555, 236743, 243767, 249689, 997, 27671, 658, 5227, 236775, 138, 108, 1018, 9272, 50228, 573, 27618, 53121, 138, 107, 236772, 12808, 1239, 190812, 580, 10365, 532, 15474, 607, 910, 4803, 12714, 138, 107, 236772, 6890, 506, 118252, 997, 46640, 105411, 3999, 532, 997, 27671, 658, 5227, 528, 822, 1852, 3004, 531, 3196, 528, 910, 40037, 138, 107, 236772, 1701, 919, 2536, 236764, 564, 740, 12270, 4767, 7704, 1699, 506, 2165, 4874, 236779, 4000, 236779, 1114, 236929, 699, 506, 3927, 2536, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 653, 3213, 580, 1027, 3530, 1159, 236772, 236749, 7896, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1385, 19276, 1131, 1392, 115232, 44412, 27671, 236789, 236751, 8781, 2338, 901, 17794, 1800, 10521, 236761, 28344, 611, 33205, 910, 4803, 12714, 532, 3925, 20756, 531, 1460, 1144, 2712, 529, 3004, 901, 236789, 500, 11211, 236881, 564, 236789, 236753, 1133, 531, 3050, 910, 4313, 531, 66051, 49115, 532, 56241, 4993, 236761, 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, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7633, 1083, 78493, 3274, 236779, 547, 1083, 623, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 827, 623, 3955, 1083, 623, 3910, 531, 2016, 496, 10321, 236772, 36359, 3732, 56661, 1458, 236888, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236770, 236785, 236756, 236778, 236825, 236771, 236771, 236785, 77118, 236771, 236760, 87135, 25332, 532, 9295, 531, 3786, 24488, 236761, 997, 27671, 52531, 997, 105411, 3999, 29235, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 80465, 236779, 45312, 236761, 4034, 827, 623, 56652, 1083, 236743, 236770, 236778, 236810, 236771, 236764, 623, 26329, 1083, 236743, 236828, 236819, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 3274, 236779, 547, 1083, 623, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236810, 827, 623, 3955, 1083, 623, 162117, 21708, 4535, 528, 2033, 44166, 236888, 621, 689, 236828, 236800, 236744, 236785, 689, 98116, 9429, 3801, 1131, 20133, 1651, 6730, 76173, 236761, 997, 45946, 902, 4396, 997, 66057, 105411, 3999, 827, 623, 10494, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 854, 3274, 236779, 791, 236761, 4034, 827, 623, 56652, 1083, 236743, 236819, 236828, 236771, 236764, 623, 26329, 1083, 236743, 236825, 236832, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236812, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 4874, 236779, 2074, 236779, 547, 1083, 623, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236825, 827, 623, 5594, 236779, 5576, 1083, 1847, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 10934, 1083, 1847, 236764, 623, 209668, 1083, 78493, 3250, 1083, 623, 105411, 3999, 33879, 827, 623, 10494, 1083, 78493, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236770, 236761, 4034, 827, 623, 21151, 1083, 623, 3910, 531, 3732, 29979, 528, 11321, 9952, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236770, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236778, 236761, 4034, 827, 623, 21151, 1083, 623, 1558, 120136, 100057, 573, 1944, 26318, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236800, 236760, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 236774, 236770, 236770, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 25938, 1604, 623, 21052, 1083, 3714, 54012, 236779, 547, 1083, 623, 17287, 236770, 236778, 236800, 236812, 236810, 827, 623, 4711, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 4711, 236770, 236761, 4034, 236775, 5237, 3714, 3250, 1083, 623, 27671, 37747, 827, 623, 10494, 1083, 78493, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236800, 236761, 4034, 827, 623, 21151, 1083, 623, 36161, 496, 10321, 236772, 36359, 33314, 1458, 621, 236756, 236778, 236825, 236771, 236771, 236785, 77118, 236771, 236760, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236778, 236774, 236770, 236812, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236812, 236761, 2720, 236812, 827, 623, 21151, 1083, 623, 2866, 236772, 165949, 529, 3732, 3877, 607, 21708, 21615, 621, 689, 236828, 236800, 236753, 236785, 689, 24035, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 21052, 1083, 3714, 54012, 236779, 547, 1083, 623, 17287, 236825, 236832, 236828, 236819, 236771, 827, 623, 4711, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 4711, 236778, 236761, 4034, 127096, 21111, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 614, 3671, 529, 1392, 115232, 44412, 27671, 236789, 236751, 3004, 66051, 49115, 532, 56241, 4993, 236787, 108, 1018, 47619, 49040, 53121, 107, 236770, 236761, 5213, 75896, 236772, 106731, 15748, 202761, 1804, 1018, 138, 107, 139, 236772, 16748, 236787, 11873, 2279, 3788, 496, 14896, 236772, 47452, 33314, 1458, 138, 107, 139, 236772, 161840, 4073, 236787, 997, 27671, 52531, 997, 105411, 3999, 29235, 138, 107, 139, 236772, 63010, 236787, 236743, 236770, 236764, 236778, 236810, 236771, 15975, 236764, 236743, 236828, 236819, 8968, 138, 107, 139, 236772, 24246, 236787, 870, 75896, 7972, 10061, 5457, 2574, 1411, 8358, 236761, 854, 236786, 80465, 236779, 45312, 236761, 4034, 236768, 138, 108, 236778, 236761, 5213, 1558, 3274, 21708, 26581, 1018, 138, 107, 139, 236772, 16748, 236787, 57999, 1090, 9295, 64418, 7257, 607, 11639, 17747, 138, 107, 139, 236772, 161840, 4073, 236787, 997, 45946, 902, 4396, 997, 66057, 105411, 3999, 138, 107, 139, 236772, 63010, 236787, 236743, 236819, 236828, 236771, 15975, 236764, 236743, 236825, 236832, 8968, 138, 107, 139, 236772, 24246, 236787, 870, 22971, 7257, 10884, 5457, 2574, 1411, 8358, 236761, 854, 236786, 854, 3274, 236779, 791, 236761, 4034, 236768, 138, 108, 1018, 32214, 70731, 53121, 107, 236770, 236761, 5213, 105411, 3999, 33879, 12142, 1018, 138, 107, 139, 236772, 66864, 236787, 96294, 29080, 236764, 144413, 100057, 138, 107, 139, 236772, 36353, 236787, 165694, 529, 4876, 607, 31115, 524, 11221, 568, 27393, 236743, 236770, 236771, 236772, 236770, 236810, 236768, 138, 107, 139, 236772, 20864, 236787, 870, 105411, 3999, 11221, 30658, 5457, 2574, 1411, 8358, 236761, 854, 236786, 4711, 236770, 236761, 4034, 236768, 138, 108, 236778, 236761, 5213, 27671, 37747, 40187, 1018, 138, 107, 139, 236772, 108632, 236787, 29277, 33314, 2016, 236764, 3732, 3877, 990, 236772, 165949, 607, 21615, 138, 107, 139, 236772, 36353, 236787, 29785, 529, 4876, 532, 2948, 568, 16603, 870, 50355, 2203, 2948, 5457, 2574, 1411, 8358, 236761, 854, 236786, 10494, 236812, 236761, 2720, 236812, 1223, 138, 107, 139, 236772, 20864, 236787, 870, 27671, 5699, 30658, 5457, 2574, 1411, 8358, 236761, 854, 236786, 4711, 236778, 236761, 4034, 236768, 138, 108, 1018, 3503, 12774, 50914, 53121, 138, 107, 236772, 5213, 4795, 34428, 53121, 21807, 1472, 10231, 49115, 568, 197818, 236764, 144413, 236768, 607, 56241, 14485, 568, 109749, 236764, 20133, 236768, 138, 107, 236772, 5213, 11238, 53121, 65284, 1800, 528, 236772, 15104, 12714, 532, 28721, 236772, 21928, 3925, 20756, 573, 1607, 15154, 14062, 138, 107, 236772, 5213, 164003, 59303, 53121, 150489, 49115, 618, 496, 4916, 236772, 498, 56241, 4735, 5904, 138, 107, 236772, 5213, 69694, 137944, 53121, 72143, 568, 236832, 236828, 236908, 529, 12714, 779, 14896, 12434, 236764, 26396, 6647, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 121353, 910, 84014, 15154, 9935, 236881, 138, 107, 236778, 236761, 59336, 3361, 3004, 6549, 573, 822, 1852, 8781, 236881, 138, 107, 236800, 236761, 40656, 3530, 2203, 11808, 699, 910, 12714, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 31236, 506, 7500, 17446, 573, 1041, 16789, 58463, 531, 506, 59965, 7972, 236761, 564, 5697, 496, 236743, 236778, 236771, 236770, 236771, 31601, 169681, 568, 88899, 618, 496, 756, 4554, 236789, 528, 16364, 34438, 236768, 1699, 4841, 38611, 236761, 669, 4886, 236772, 59667, 5149, 563, 236743, 236800, 236771, 7635, 496, 1719, 236764, 3493, 2668, 496, 2069, 236761, 2282, 5330, 10634, 236764, 564, 236858, 236753, 1133, 506, 14988, 531, 3204, 506, 2558, 16789, 5149, 529, 236743, 236770, 236810, 236771, 7635, 236761, 28344, 611, 1161, 506, 16364, 14988, 5904, 607, 1239, 6137, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41239, 236779, 4368, 1083, 623, 236778, 236771, 236770, 236771, 31601, 169681, 827, 623, 17178, 236779, 11375, 1083, 236743, 236778, 236812, 236770, 236761, 236812, 236764, 623, 6725, 236779, 581, 11209, 236779, 7022, 1083, 236743, 236800, 236825, 236761, 236778, 236770, 236764, 623, 13308, 1083, 3714, 97883, 236779, 19385, 1083, 623, 236770, 236810, 236771, 236759, 2671, 236778, 236786, 11375, 827, 623, 154521, 236779, 44301, 1083, 623, 22515, 580, 36351, 236743, 236778, 236771, 236778, 236800, 16364, 8443, 573, 5453, 236772, 21928, 38611, 11182, 127096, 106, 107, 105, 4368, 107, 818, 2558, 17446, 573, 822, 16789, 58463, 529, 236743, 236770, 236810, 236771, 7635, 568, 236778, 236812, 236770, 236761, 236812, 7251, 236768, 528, 496, 5213, 236778, 236771, 236770, 236771, 31601, 169681, 1018, 659, 5213, 236800, 236825, 236761, 236778, 236770, 11944, 529, 2671, 238204, 84750, 1174, 14988, 6178, 614, 16364, 5415, 529, 5213, 236770, 236810, 236771, 236759, 2671, 238204, 236786, 11375, 125546, 2721, 580, 36351, 236743, 236778, 236771, 236778, 236800, 8443, 573, 5453, 236772, 21928, 38611, 11182, 236761, 236743, 108, 38786, 611, 1133, 11221, 531, 6439, 822, 58463, 236789, 236751, 6800, 38649, 236881, 178829, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 31236, 506, 7500, 17446, 573, 1041, 16789, 58463, 531, 506, 59965, 7972, 236761, 564, 5697, 496, 236743, 236778, 236771, 236770, 236771, 31601, 169681, 568, 88899, 618, 496, 756, 4554, 236789, 528, 16364, 34438, 236768, 1699, 4841, 38611, 236761, 669, 4886, 236772, 59667, 5149, 563, 236743, 236800, 236771, 7635, 496, 1719, 236764, 3493, 2668, 496, 2069, 236761, 2282, 5330, 10634, 236764, 564, 236858, 236753, 1133, 506, 14988, 531, 3204, 506, 2558, 16789, 5149, 529, 236743, 236770, 236810, 236771, 7635, 236761, 28344, 611, 1161, 506, 16364, 14988, 5904, 607, 1239, 6137, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41239, 236779, 4368, 1083, 623, 236778, 236771, 236770, 236771, 31601, 169681, 827, 623, 17178, 236779, 11375, 1083, 236743, 236778, 236812, 236770, 236761, 236812, 236764, 623, 6725, 236779, 581, 11209, 236779, 7022, 1083, 236743, 236800, 236825, 236761, 236778, 236770, 236764, 623, 13308, 1083, 3714, 97883, 236779, 19385, 1083, 623, 236770, 236810, 236771, 236759, 2671, 236778, 236786, 11375, 827, 623, 154521, 236779, 44301, 1083, 623, 22515, 580, 36351, 236743, 236778, 236771, 236778, 236800, 16364, 8443, 573, 5453, 236772, 21928, 38611, 11182, 127096, 106, 107, 105, 4368, 107, 818, 2558, 17446, 573, 822, 16789, 58463, 529, 236743, 236770, 236810, 236771, 7635, 568, 236778, 236812, 236770, 236761, 236812, 7251, 236768, 528, 496, 5213, 236778, 236771, 236770, 236771, 31601, 169681, 1018, 659, 5213, 236800, 236825, 236761, 236778, 236770, 11944, 529, 2671, 238204, 84750, 1174, 14988, 6178, 614, 16364, 5415, 529, 5213, 236770, 236810, 236771, 236759, 2671, 238204, 236786, 11375, 125546, 2721, 580, 36351, 236743, 236778, 236771, 236778, 236800, 8443, 573, 5453, 236772, 21928, 38611, 11182, 236761, 236743, 108, 38786, 611, 1133, 11221, 531, 6439, 822, 58463, 236789, 236751, 6800, 38649, 236881, 178829, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 573, 496, 71636, 57337, 9735, 77518, 3541, 782, 163628, 236764, 12501, 237028, 22707, 94884, 607, 17110, 13217, 532, 1610, 41850, 600, 11906, 1133, 41195, 1131, 496, 3925, 236764, 711, 1164, 496, 22436, 7075, 236761, 7129, 19205, 573, 34091, 600, 1093, 114542, 607, 496, 14105, 146456, 1133, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 29533, 30350, 43902, 9252, 827, 623, 7125, 1083, 623, 29533, 30350, 236764, 33946, 827, 623, 7777, 1083, 623, 894, 1833, 1343, 236743, 236770, 236810, 236771, 236862, 105737, 27750, 18283, 113104, 162562, 3008, 506, 33946, 7940, 236764, 1299, 11327, 506, 9029, 30350, 11109, 529, 4585, 18482, 14105, 26497, 1610, 532, 13979, 5289, 236772, 1741, 30427, 236761, 669, 5148, 236789, 236751, 8858, 7171, 28605, 532, 54491, 28968, 2619, 614, 57337, 14105, 9226, 2707, 1164, 236743, 236770, 236771, 236771, 7635, 699, 782, 163628, 1781, 236783, 106, 107, 105, 4368, 107, 29533, 30350, 43902, 9252, 563, 506, 4011, 9226, 14317, 573, 611, 236888, 5393, 236743, 236770, 236771, 236771, 7635, 699, 782, 163628, 236764, 672, 142759, 13783, 5469, 5213, 236770, 236810, 236771, 236862, 105737, 27750, 18283, 113104, 162562, 1018, 38330, 506, 33946, 7940, 237028, 17136, 607, 1061, 1852, 3925, 529, 14105, 82353, 236761, 1599, 236858, 859, 52659, 1343, 26318, 1298, 32049, 7146, 89830, 34123, 529, 506, 10687, 4257, 236764, 1299, 2918, 4888, 506, 5213, 29533, 30350, 11109, 529, 4585, 1018, 531, 11327, 14105, 26497, 1610, 532, 13979, 5289, 236772, 1741, 30427, 600, 2597, 1133, 41195, 1131, 496, 4882, 10132, 236761, 669, 5148, 236858, 236751, 5268, 236772, 134591, 54491, 28968, 236764, 699, 8858, 23749, 34123, 531, 2263, 41550, 236764, 1386, 625, 2597, 2344, 1133, 496, 22436, 12892, 532, 919, 1133, 496, 7312, 528, 822, 1852, 14105, 63548, 236761, 13079, 822, 24795, 237028, 509, 236858, 236751, 506, 2712, 529, 1977, 1298, 1418, 194163, 19244, 2479, 19874, 496, 861, 3925, 236761, 236743, 241882, 106, 107, 105, 2364, 107, 8574, 611, 3600, 496, 17110, 10084, 3541, 506, 9029, 30350, 11109, 529, 4585, 528, 9029, 30350, 236764, 12501, 236881, 564, 236789, 236753, 2765, 2613, 607, 496, 3925, 529, 1061, 1852, 237028, 60766, 496, 4937, 53108, 549, 168667, 653, 496, 142759, 37009, 1298, 506, 11595, 5630, 2255, 8858, 23749, 34123, 236761, 5393, 496, 12010, 1977, 531, 77910, 1041, 223666, 532, 60961, 528, 506, 14105, 11661, 1680, 16398, 531, 506, 14871, 16922, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 78493, 1201, 1083, 623, 818, 138077, 25145, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 7940, 6718, 236764, 9029, 30350, 236764, 12501, 236743, 236800, 236819, 236770, 236778, 236771, 827, 623, 17178, 1083, 623, 236771, 236761, 236778, 7635, 827, 623, 7777, 1083, 623, 14151, 2926, 236743, 236770, 236828, 594, 236772, 33201, 53108, 549, 168667, 607, 8858, 23749, 20596, 236789, 236751, 34123, 532, 34323, 81173, 236761, 25772, 496, 17110, 9427, 532, 14381, 217031, 46162, 45839, 506, 33946, 221476, 3714, 1201, 1083, 623, 21221, 7940, 83099, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 20690, 17463, 236764, 9029, 30350, 236764, 12501, 236743, 236800, 236819, 236770, 236778, 236771, 827, 623, 17178, 1083, 623, 236771, 236761, 236812, 7635, 827, 623, 7777, 1083, 623, 236770, 236828, 236810, 236771, 236751, 142759, 37009, 607, 11497, 37120, 4187, 15287, 236761, 80007, 12010, 130257, 538, 33678, 532, 14105, 34162, 528, 496, 28251, 14538, 53108, 6514, 221476, 3714, 1201, 1083, 623, 29533, 30350, 66993, 25145, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 6400, 6718, 236764, 9029, 30350, 236764, 12501, 236743, 236800, 236819, 236770, 236778, 236771, 827, 623, 17178, 1083, 623, 236771, 236761, 236825, 7635, 827, 623, 7777, 1083, 623, 43897, 8858, 23749, 8217, 607, 3303, 236743, 236770, 236828, 236771, 236771, 236751, 13217, 236761, 64069, 573, 25556, 8511, 529, 8858, 23749, 20705, 532, 496, 54447, 7972, 4011, 573, 5597, 130257, 1781, 165075, 106, 107, 105, 4368, 107, 2542, 822, 14105, 54491, 30037, 236764, 5213, 21221, 7940, 83099, 1018, 563, 506, 4011, 4241, 237028, 4017, 236743, 236771, 236761, 236812, 7635, 699, 506, 14871, 532, 808, 56754, 236829, 573, 130257, 39690, 236761, 1174, 236743, 236770, 236828, 236810, 236771, 236751, 142759, 37009, 236764, 92956, 528, 496, 28251, 14538, 53108, 236764, 9258, 496, 5213, 13333, 37120, 4187, 15287, 1018, 71787, 684, 30992, 568, 624, 496, 808, 1158, 236829, 12010, 142396, 684, 506, 49742, 1298, 822, 223666, 795, 2597, 1447, 657, 2033, 769, 47302, 124404, 9380, 11115, 580, 506, 46162, 618, 8858, 23749, 34123, 27552, 3068, 236764, 1299, 176305, 531, 506, 14871, 607, 822, 7704, 9772, 607, 506, 2712, 529, 8511, 1186, 9029, 30350, 740, 3442, 236761, 138, 108, 236829, 93993, 53039, 149681, 138, 107, 236772, 5213, 818, 138077, 25145, 1018, 568, 236771, 236761, 236778, 7635, 1473, 1701, 8858, 23749, 20596, 236858, 236751, 34123, 532, 496, 17110, 9427, 237028, 63914, 768, 611, 120822, 34323, 82353, 236761, 138, 107, 236772, 5213, 29533, 30350, 66993, 25145, 1018, 568, 236771, 236761, 236825, 7635, 1473, 562, 4937, 8858, 23749, 8217, 607, 25556, 8511, 532, 496, 54447, 7972, 573, 5597, 60719, 236761, 138, 108, 4573, 573, 808, 17993, 236829, 12010, 236764, 3925, 236772, 9705, 130257, 14317, 236881, 10687, 7940, 83099, 236858, 236751, 11497, 4187, 532, 49742, 236772, 2897, 538, 33678, 659, 8176, 14105, 15236, 236761, 236743, 248265, 246095, 238178, 106, 107, 105, 2364, 107, 818, 5213, 50613, 23749, 2761, 3317, 1018, 657, 9029, 30350, 66993, 25145, 568, 4017, 236743, 236771, 236761, 236825, 7635, 699, 10687, 7940, 83099, 236768, 563, 808, 161617, 236829, 506, 3925, 611, 236858, 500, 52552, 236761, 9963, 22637, 236764, 190763, 236764, 180021, 5213, 236770, 236828, 236812, 236771, 236751, 8858, 23749, 23642, 1018, 1131, 1418, 13415, 237028, 36345, 808, 1179, 34477, 6355, 521, 736, 3190, 236829, 607, 496, 2678, 529, 623, 69072, 236858, 236751, 4568, 236775, 54491, 568, 12053, 236858, 859, 4024, 1217, 506, 15028, 24096, 506, 808, 4432, 155332, 9029, 30350, 236829, 236858, 236751, 236743, 236770, 236828, 236810, 236832, 28109, 769, 669, 16083, 2978, 236858, 236751, 11285, 96184, 6171, 37676, 580, 11595, 31584, 607, 808, 20055, 236829, 8858, 23749, 142046, 236764, 532, 910, 14187, 31096, 236764, 808, 193850, 54737, 30830, 30237, 3952, 607, 496, 94788, 5433, 1003, 506, 8858, 23749, 236858, 236751, 1774, 20548, 529, 153077, 236761, 1599, 236858, 859, 2597, 1133, 611, 236858, 500, 16083, 808, 49431, 236829, 496, 3925, 236764, 711, 1164, 11293, 496, 13294, 236761, 236743, 250764, 248315, 138, 108, 236829, 61192, 149681, 2195, 2729, 496, 5213, 236775, 32214, 110532, 236858, 236751, 210167, 17424, 236775, 1018, 1418, 9853, 237028, 50936, 573, 822, 223666, 236772, 18082, 9137, 236761, 5393, 4928, 611, 236858, 500, 19447, 657, 10687, 7940, 83099, 236764, 532, 190763, 236858, 859, 5383, 611, 506, 49742, 236772, 2897, 2633, 236761, 106, 107, 105, 4368, 107, 236792, 11901, 236858, 236751, 16976, 110532, 236858, 236751, 210167, 17424, 580, 127772, 563, 822, 13935, 15049, 237028, 4017, 4928, 611, 236858, 500, 19447, 657, 10687, 7940, 83099, 236764, 532, 1304, 236858, 859, 18151, 506, 49742, 236772, 2897, 2633, 1298, 506, 8858, 137065, 31156, 531, 822, 223666, 236761, 7685, 28721, 529, 600, 40778, 6355, 521, 736, 3190, 568, 4060, 506, 808, 69072, 236858, 236751, 4568, 236829, 15028, 6915, 1679, 2338, 236743, 236770, 236828, 236810, 236832, 236768, 532, 506, 33946, 54737, 30830, 568, 4060, 1061, 132419, 20548, 5433, 73359, 1208, 822, 28922, 236768, 795, 2597, 1133, 496, 7312, 5267, 1164, 573, 611, 236761, 1773, 506, 96184, 6171, 37676, 580, 1724, 8858, 23749, 142046, 236764, 611, 236858, 859, 13808, 236787, 808, 1580, 236829, 563, 1217, 8511, 3291, 2033, 236761, 236743, 244245, 248315, 239794, 138, 108, 236829, 236791, 236761, 236773, 236761, 669, 49742, 236772, 2897, 2633, 236881, 1030, 236858, 236751, 1298, 506, 8858, 236858, 236751, 24625, 34123, 9385, 236761, 5180, 223666, 236858, 236751, 1003, 531, 3291, 912, 529, 506, 15287, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 3182, 573, 496, 71636, 57337, 9735, 77518, 3541, 782, 163628, 236764, 12501, 237028, 22707, 94884, 607, 17110, 13217, 532, 1610, 41850, 600, 11906, 1133, 41195, 1131, 496, 3925, 236764, 711, 1164, 496, 22436, 7075, 236761, 7129, 19205, 573, 34091, 600, 1093, 114542, 607, 496, 14105, 146456, 1133, 786, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 29533, 30350, 43902, 9252, 827, 623, 7125, 1083, 623, 29533, 30350, 236764, 33946, 827, 623, 7777, 1083, 623, 894, 1833, 1343, 236743, 236770, 236810, 236771, 236862, 105737, 27750, 18283, 113104, 162562, 3008, 506, 33946, 7940, 236764, 1299, 11327, 506, 9029, 30350, 11109, 529, 4585, 18482, 14105, 26497, 1610, 532, 13979, 5289, 236772, 1741, 30427, 236761, 669, 5148, 236789, 236751, 8858, 7171, 28605, 532, 54491, 28968, 2619, 614, 57337, 14105, 9226, 2707, 1164, 236743, 236770, 236771, 236771, 7635, 699, 782, 163628, 1781, 236783, 106, 107, 105, 4368, 107, 29533, 30350, 43902, 9252, 563, 506, 4011, 9226, 14317, 573, 611, 236888, 5393, 236743, 236770, 236771, 236771, 7635, 699, 782, 163628, 236764, 672, 142759, 13783, 5469, 5213, 236770, 236810, 236771, 236862, 105737, 27750, 18283, 113104, 162562, 1018, 38330, 506, 33946, 7940, 237028, 17136, 607, 1061, 1852, 3925, 529, 14105, 82353, 236761, 1599, 236858, 859, 52659, 1343, 26318, 1298, 32049, 7146, 89830, 34123, 529, 506, 10687, 4257, 236764, 1299, 2918, 4888, 506, 5213, 29533, 30350, 11109, 529, 4585, 1018, 531, 11327, 14105, 26497, 1610, 532, 13979, 5289, 236772, 1741, 30427, 600, 2597, 1133, 41195, 1131, 496, 4882, 10132, 236761, 669, 5148, 236858, 236751, 5268, 236772, 134591, 54491, 28968, 236764, 699, 8858, 23749, 34123, 531, 2263, 41550, 236764, 1386, 625, 2597, 2344, 1133, 496, 22436, 12892, 532, 919, 1133, 496, 7312, 528, 822, 1852, 14105, 63548, 236761, 13079, 822, 24795, 237028, 509, 236858, 236751, 506, 2712, 529, 1977, 1298, 1418, 194163, 19244, 2479, 19874, 496, 861, 3925, 236761, 236743, 241882, 106, 107, 105, 2364, 107, 8574, 611, 3600, 496, 17110, 10084, 3541, 506, 9029, 30350, 11109, 529, 4585, 528, 9029, 30350, 236764, 12501, 236881, 564, 236789, 236753, 2765, 2613, 607, 496, 3925, 529, 1061, 1852, 237028, 60766, 496, 4937, 53108, 549, 168667, 653, 496, 142759, 37009, 1298, 506, 11595, 5630, 2255, 8858, 23749, 34123, 236761, 5393, 496, 12010, 1977, 531, 77910, 1041, 223666, 532, 60961, 528, 506, 14105, 11661, 1680, 16398, 531, 506, 14871, 16922, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 215582, 1083, 78493, 1201, 1083, 623, 818, 138077, 25145, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 7940, 6718, 236764, 9029, 30350, 236764, 12501, 236743, 236800, 236819, 236770, 236778, 236771, 827, 623, 17178, 1083, 623, 236771, 236761, 236778, 7635, 827, 623, 7777, 1083, 623, 14151, 2926, 236743, 236770, 236828, 594, 236772, 33201, 53108, 549, 168667, 607, 8858, 23749, 20596, 236789, 236751, 34123, 532, 34323, 81173, 236761, 25772, 496, 17110, 9427, 532, 14381, 217031, 46162, 45839, 506, 33946, 221476, 3714, 1201, 1083, 623, 21221, 7940, 83099, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 20690, 17463, 236764, 9029, 30350, 236764, 12501, 236743, 236800, 236819, 236770, 236778, 236771, 827, 623, 17178, 1083, 623, 236771, 236761, 236812, 7635, 827, 623, 7777, 1083, 623, 236770, 236828, 236810, 236771, 236751, 142759, 37009, 607, 11497, 37120, 4187, 15287, 236761, 80007, 12010, 130257, 538, 33678, 532, 14105, 34162, 528, 496, 28251, 14538, 53108, 6514, 221476, 3714, 1201, 1083, 623, 29533, 30350, 66993, 25145, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 6400, 6718, 236764, 9029, 30350, 236764, 12501, 236743, 236800, 236819, 236770, 236778, 236771, 827, 623, 17178, 1083, 623, 236771, 236761, 236825, 7635, 827, 623, 7777, 1083, 623, 43897, 8858, 23749, 8217, 607, 3303, 236743, 236770, 236828, 236771, 236771, 236751, 13217, 236761, 64069, 573, 25556, 8511, 529, 8858, 23749, 20705, 532, 496, 54447, 7972, 4011, 573, 5597, 130257, 1781, 165075, 106, 107, 105, 4368, 107, 2542, 822, 14105, 54491, 30037, 236764, 5213, 21221, 7940, 83099, 1018, 563, 506, 4011, 4241, 237028, 4017, 236743, 236771, 236761, 236812, 7635, 699, 506, 14871, 532, 808, 56754, 236829, 573, 130257, 39690, 236761, 1174, 236743, 236770, 236828, 236810, 236771, 236751, 142759, 37009, 236764, 92956, 528, 496, 28251, 14538, 53108, 236764, 9258, 496, 5213, 13333, 37120, 4187, 15287, 1018, 71787, 684, 30992, 568, 624, 496, 808, 1158, 236829, 12010, 142396, 684, 506, 49742, 1298, 822, 223666, 795, 2597, 1447, 657, 2033, 769, 47302, 124404, 9380, 11115, 580, 506, 46162, 618, 8858, 23749, 34123, 27552, 3068, 236764, 1299, 176305, 531, 506, 14871, 607, 822, 7704, 9772, 607, 506, 2712, 529, 8511, 1186, 9029, 30350, 740, 3442, 236761, 138, 108, 236829, 93993, 53039, 149681, 138, 107, 236772, 5213, 818, 138077, 25145, 1018, 568, 236771, 236761, 236778, 7635, 1473, 1701, 8858, 23749, 20596, 236858, 236751, 34123, 532, 496, 17110, 9427, 237028, 63914, 768, 611, 120822, 34323, 82353, 236761, 138, 107, 236772, 5213, 29533, 30350, 66993, 25145, 1018, 568, 236771, 236761, 236825, 7635, 1473, 562, 4937, 8858, 23749, 8217, 607, 25556, 8511, 532, 496, 54447, 7972, 573, 5597, 60719, 236761, 138, 108, 4573, 573, 808, 17993, 236829, 12010, 236764, 3925, 236772, 9705, 130257, 14317, 236881, 10687, 7940, 83099, 236858, 236751, 11497, 4187, 532, 49742, 236772, 2897, 538, 33678, 659, 8176, 14105, 15236, 236761, 236743, 248265, 246095, 238178, 106, 107, 105, 2364, 107, 818, 5213, 50613, 23749, 2761, 3317, 1018, 657, 9029, 30350, 66993, 25145, 568, 4017, 236743, 236771, 236761, 236825, 7635, 699, 10687, 7940, 83099, 236768, 563, 808, 161617, 236829, 506, 3925, 611, 236858, 500, 52552, 236761, 9963, 22637, 236764, 190763, 236764, 180021, 5213, 236770, 236828, 236812, 236771, 236751, 8858, 23749, 23642, 1018, 1131, 1418, 13415, 237028, 36345, 808, 1179, 34477, 6355, 521, 736, 3190, 236829, 607, 496, 2678, 529, 623, 69072, 236858, 236751, 4568, 236775, 54491, 568, 12053, 236858, 859, 4024, 1217, 506, 15028, 24096, 506, 808, 4432, 155332, 9029, 30350, 236829, 236858, 236751, 236743, 236770, 236828, 236810, 236832, 28109, 769, 669, 16083, 2978, 236858, 236751, 11285, 96184, 6171, 37676, 580, 11595, 31584, 607, 808, 20055, 236829, 8858, 23749, 142046, 236764, 532, 910, 14187, 31096, 236764, 808, 193850, 54737, 30830, 30237, 3952, 607, 496, 94788, 5433, 1003, 506, 8858, 23749, 236858, 236751, 1774, 20548, 529, 153077, 236761, 1599, 236858, 859, 2597, 1133, 611, 236858, 500, 16083, 808, 49431, 236829, 496, 3925, 236764, 711, 1164, 11293, 496, 13294, 236761, 236743, 250764, 248315, 138, 108, 236829, 61192, 149681, 2195, 2729, 496, 5213, 236775, 32214, 110532, 236858, 236751, 210167, 17424, 236775, 1018, 1418, 9853, 237028, 50936, 573, 822, 223666, 236772, 18082, 9137, 236761, 5393, 4928, 611, 236858, 500, 19447, 657, 10687, 7940, 83099, 236764, 532, 190763, 236858, 859, 5383, 611, 506, 49742, 236772, 2897, 2633, 236761, 106, 107, 105, 4368, 107, 236792, 11901, 236858, 236751, 16976, 110532, 236858, 236751, 210167, 17424, 580, 127772, 563, 822, 13935, 15049, 237028, 4017, 4928, 611, 236858, 500, 19447, 657, 10687, 7940, 83099, 236764, 532, 1304, 236858, 859, 18151, 506, 49742, 236772, 2897, 2633, 1298, 506, 8858, 137065, 31156, 531, 822, 223666, 236761, 7685, 28721, 529, 600, 40778, 6355, 521, 736, 3190, 568, 4060, 506, 808, 69072, 236858, 236751, 4568, 236829, 15028, 6915, 1679, 2338, 236743, 236770, 236828, 236810, 236832, 236768, 532, 506, 33946, 54737, 30830, 568, 4060, 1061, 132419, 20548, 5433, 73359, 1208, 822, 28922, 236768, 795, 2597, 1133, 496, 7312, 5267, 1164, 573, 611, 236761, 1773, 506, 96184, 6171, 37676, 580, 1724, 8858, 23749, 142046, 236764, 611, 236858, 859, 13808, 236787, 808, 1580, 236829, 563, 1217, 8511, 3291, 2033, 236761, 236743, 244245, 248315, 239794, 138, 108, 236829, 236791, 236761, 236773, 236761, 669, 49742, 236772, 2897, 2633, 236881, 1030, 236858, 236751, 1298, 506, 8858, 236858, 236751, 24625, 34123, 9385, 236761, 5180, 223666, 236858, 236751, 1003, 531, 3291, 912, 529, 506, 15287, 9603, 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, 5383, 872, 573, 1960, 3997, 12420, 531, 3291, 496, 4762, 7616, 236764, 840, 564, 236789, 236757, 711, 1822, 607, 4945, 236761, 28344, 611, 9279, 1217, 1623, 609, 236810, 236771, 236771, 496, 2297, 1093, 2171, 657, 236743, 236800, 236908, 7384, 2142, 1024, 236743, 236778, 1518, 236881, 564, 1461, 531, 1281, 768, 564, 236789, 859, 735, 3487, 573, 506, 609, 236770, 236764, 236778, 236771, 236771, 3003, 11317, 236761, 106, 107, 105, 4368, 107, 818, 609, 236810, 236771, 236771, 13822, 15749, 1024, 236743, 236778, 1518, 568, 236778, 236812, 3794, 236768, 69570, 5213, 236795, 236770, 236778, 236764, 236771, 236771, 236771, 1018, 1680, 1027, 2142, 236761, 5612, 506, 3003, 11317, 563, 1186, 5213, 236795, 236770, 236764, 236778, 236771, 236771, 125546, 611, 795, 735, 5213, 5576, 1082, 3487, 1018, 531, 2890, 625, 237028, 20952, 2180, 28920, 1027, 2142, 236761, 236743, 108, 818, 10615, 2142, 5904, 3847, 563, 5402, 573, 808, 236752, 2446, 236772, 2330, 17461, 30237, 711, 4841, 13822, 13728, 236761, 3153, 236764, 1581, 607, 496, 26167, 236743, 236800, 236908, 7384, 2142, 236764, 822, 2558, 1093, 9644, 609, 236770, 236778, 236764, 236771, 236771, 236771, 236761, 1701, 29972, 236787, 107, 236772, 5213, 33142, 2142, 66515, 609, 236810, 236771, 236771, 15666, 236743, 236778, 236812, 578, 609, 236770, 236778, 236764, 236771, 236771, 236771, 107, 236772, 5213, 3497, 2142, 66515, 5180, 15749, 1093, 2171, 8427, 919, 568, 5503, 2036, 2793, 6998, 609, 236770, 236764, 236778, 236771, 236771, 769, 108, 3048, 236858, 859, 5583, 9546, 506, 3003, 236888, 236743, 247211, 106, 107, 105, 2364, 107, 12932, 236764, 808, 1568, 23640, 236829, 573, 506, 1601, 236888, 564, 9655, 808, 71832, 236829, 22050, 237028, 5282, 10848, 609, 236810, 236771, 236771, 528, 1041, 15749, 19498, 1418, 90345, 236764, 711, 496, 55267, 2324, 236761, 3551, 763, 17966, 2462, 1176, 236764, 623, 236791, 12020, 4666, 236764, 808, 1327, 2489, 236829, 237028, 10732, 6555, 1386, 2563, 38603, 1781, 28344, 611, 110270, 606, 625, 9668, 607, 13822, 13728, 236881, 564, 236858, 236753, 17554, 531, 1024, 236772, 9037, 1056, 564, 1451, 1161, 600, 4481, 8216, 573, 1041, 808, 535, 1841, 236829, 35009, 657, 506, 11379, 913, 4972, 236888, 222194, 106, 107, 105, 4368, 107, 3048, 236789, 500, 11087, 1447, 531, 37386, 237028, 71832, 22050, 1660, 496, 1607, 14988, 1082, 496, 55267, 2324, 236888, 669, 5904, 564, 14877, 6956, 531, 1161, 568, 1708, 808, 236752, 2446, 236772, 2330, 236829, 10615, 2142, 236768, 5889, 236858, 236745, 5402, 573, 4841, 13822, 13728, 236761, 3792, 236858, 236751, 7562, 600, 607, 506, 4338, 6581, 573, 5213, 71832, 15749, 1018, 568, 508, 808, 1132, 53602, 236829, 1473, 108, 7243, 108, 10354, 113452, 5180, 50292, 62480, 86249, 236787, 107, 236772, 5213, 96579, 14664, 66515, 609, 236810, 236771, 236771, 138, 107, 236772, 5213, 68051, 2142, 3136, 66515, 236743, 236800, 236908, 568, 236771, 236761, 236771, 236800, 236768, 138, 107, 236772, 5213, 2866, 66515, 236743, 236778, 1518, 568, 236778, 236812, 3794, 236768, 138, 107, 236772, 5213, 8891, 38229, 13822, 1018, 568, 236749, 578, 236743, 236770, 236778, 236768, 138, 108, 1018, 79670, 66515, 138, 107, 9873, 107, 61688, 578, 593, 621, 3841, 621, 989, 236769, 621, 1420, 18946, 236770, 900, 621, 1420, 236782, 236750, 1170, 236749, 32550, 666, 236783, 753, 236743, 236770, 3378, 1420, 236782, 236750, 1170, 236749, 1807, 621, 898, 236768, 107, 9873, 108, 1018, 164761, 528, 506, 4945, 66515, 138, 107, 9873, 107, 61688, 578, 236743, 236810, 236771, 236771, 621, 3841, 621, 989, 236769, 621, 1420, 18946, 236770, 900, 621, 1420, 236782, 236771, 236761, 236771, 236800, 1170, 236770, 236778, 32550, 236778, 236812, 236783, 753, 236743, 236770, 3378, 1420, 236782, 236771, 236761, 236771, 236800, 1170, 236770, 236778, 1807, 621, 898, 236768, 578, 236743, 236810, 236771, 236771, 621, 3841, 621, 989, 236769, 621, 1420, 18946, 236770, 236761, 236771, 236771, 236778, 236810, 5625, 236778, 236812, 236783, 753, 236743, 236770, 1170, 236771, 236761, 236771, 236771, 236778, 236810, 236783, 621, 898, 236768, 107, 9873, 108, 1018, 4116, 66515, 138, 107, 236772, 12613, 1308, 236743, 236778, 1518, 67081, 5213, 236795, 236770, 236778, 236764, 236800, 236812, 236771, 1018, 568, 16603, 2142, 236768, 138, 107, 236772, 24435, 11317, 578, 5213, 236795, 236770, 236764, 236778, 236771, 236771, 1018, 138, 108, 7243, 108, 10354, 236743, 244549, 156646, 236787, 107, 3048, 236858, 859, 735, 5213, 236795, 236770, 236770, 236764, 236770, 236812, 236771, 4481, 1018, 1308, 13888, 573, 506, 3003, 236888, 222194, 138, 107, 3771, 1202, 531, 1024, 236772, 9037, 237028, 17993, 808, 535, 1841, 35009, 236829, 657, 506, 11379, 913, 4972, 659, 808, 2063, 7115, 236829, 7438, 568, 624, 1299, 1070, 769, 21764, 236829, 65071, 6472, 236764, 520, 10417, 236888, 236829, 236743, 251283, 106, 107, 105, 2364, 107, 236829, 35277, 236751, 1116, 74772, 607, 496, 14819, 236764, 59331, 1116, 4306, 2342, 1116, 24795, 236829, 138, 107, 99963, 236764, 808, 97475, 236829, 237028, 7624, 236858, 560, 2506, 1041, 4945, 6850, 1492, 236888, 2024, 1651, 564, 236858, 236757, 6972, 1003, 1041, 808, 535, 1841, 236829, 7715, 1390, 564, 5601, 768, 1724, 1960, 12420, 735, 11497, 12412, 236881, 3551, 763, 17966, 2462, 1176, 236764, 165996, 236792, 10417, 236764, 506, 1944, 1887, 563, 1298, 506, 808, 106286, 236829, 65896, 1781, 236829, 138, 108, 30092, 611, 2426, 768, 993, 659, 1027, 4481, 12412, 573, 5213, 23019, 236779, 30533, 1018, 12420, 1699, 600, 5904, 236881, 564, 236858, 236753, 17554, 531, 1586, 855, 3209, 993, 236858, 236751, 496, 609, 236810, 236771, 11317, 573, 623, 12915, 5417, 236775, 1651, 564, 236858, 236757, 2036, 124404, 12682, 3983, 5102, 657, 506, 11379, 913, 2290, 236761, 808, 238631, 19254, 4664, 236888, 236829, 236743, 250046, 106, 107, 105, 4368, 107, 236777, 7976, 564, 1451, 2426, 3003, 12412, 573, 611, 236764, 808, 1327, 2489, 30237, 840, 5213, 9745, 529, 1041, 6436, 659, 5402, 531, 1385, 872, 12524, 3003, 12412, 1018, 237028, 20890, 236858, 500, 784, 573, 4867, 6436, 1133, 3869, 6224, 236764, 17461, 236764, 653, 5052, 12412, 568, 5282, 129075, 769, 669, 808, 2084, 236779, 9707, 236779, 828, 236779, 1538, 236779, 136702, 236829, 5904, 564, 735, 1186, 4146, 573, 5213, 61054, 26936, 1018, 568, 236744, 236761, 236759, 1126, 129075, 236786, 217805, 779, 711, 1960, 12420, 236761, 138, 108, 11069, 763, 17966, 236858, 236751, 23069, 563, 7075, 236772, 498, 236787, 5213, 47236, 2426, 506, 5851, 1887, 607, 506, 2528, 5467, 84750, 7660, 11326, 1694, 784, 12412, 580, 910, 4456, 653, 528, 506, 3003, 76112, 237028, 236829, 1904, 11497, 53041, 22429, 1701, 2591, 236764, 496, 609, 236810, 236771, 623, 12915, 5417, 236775, 11317, 563, 3364, 236764, 840, 625, 236858, 236751, 4781, 8207, 8249, 82425, 236761, 138, 108, 8993, 236858, 236745, 12141, 1003, 506, 808, 535, 1841, 236829, 7715, 237028, 17993, 609, 236770, 236778, 236764, 236800, 236812, 236771, 15749, 795, 2890, 506, 3003, 808, 624, 236829, 35009, 808, 4060, 2978, 531, 25315, 22429, 236743, 251283, 246326, 5393, 3972, 236772, 4256, 506, 2528, 236858, 236751, 11317, 10368, 236764, 532, 611, 236858, 859, 577, 13935, 236888, 138, 108, 236829, 238631, 157328, 26484, 236764, 520, 10417, 236888, 236829, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 5383, 872, 573, 1960, 3997, 12420, 531, 3291, 496, 4762, 7616, 236764, 840, 564, 236789, 236757, 711, 1822, 607, 4945, 236761, 28344, 611, 9279, 1217, 1623, 609, 236810, 236771, 236771, 496, 2297, 1093, 2171, 657, 236743, 236800, 236908, 7384, 2142, 1024, 236743, 236778, 1518, 236881, 564, 1461, 531, 1281, 768, 564, 236789, 859, 735, 3487, 573, 506, 609, 236770, 236764, 236778, 236771, 236771, 3003, 11317, 236761, 106, 107, 105, 4368, 107, 818, 609, 236810, 236771, 236771, 13822, 15749, 1024, 236743, 236778, 1518, 568, 236778, 236812, 3794, 236768, 69570, 5213, 236795, 236770, 236778, 236764, 236771, 236771, 236771, 1018, 1680, 1027, 2142, 236761, 5612, 506, 3003, 11317, 563, 1186, 5213, 236795, 236770, 236764, 236778, 236771, 236771, 125546, 611, 795, 735, 5213, 5576, 1082, 3487, 1018, 531, 2890, 625, 237028, 20952, 2180, 28920, 1027, 2142, 236761, 236743, 108, 818, 10615, 2142, 5904, 3847, 563, 5402, 573, 808, 236752, 2446, 236772, 2330, 17461, 30237, 711, 4841, 13822, 13728, 236761, 3153, 236764, 1581, 607, 496, 26167, 236743, 236800, 236908, 7384, 2142, 236764, 822, 2558, 1093, 9644, 609, 236770, 236778, 236764, 236771, 236771, 236771, 236761, 1701, 29972, 236787, 107, 236772, 5213, 33142, 2142, 66515, 609, 236810, 236771, 236771, 15666, 236743, 236778, 236812, 578, 609, 236770, 236778, 236764, 236771, 236771, 236771, 107, 236772, 5213, 3497, 2142, 66515, 5180, 15749, 1093, 2171, 8427, 919, 568, 5503, 2036, 2793, 6998, 609, 236770, 236764, 236778, 236771, 236771, 769, 108, 3048, 236858, 859, 5583, 9546, 506, 3003, 236888, 236743, 247211, 106, 107, 105, 2364, 107, 12932, 236764, 808, 1568, 23640, 236829, 573, 506, 1601, 236888, 564, 9655, 808, 71832, 236829, 22050, 237028, 5282, 10848, 609, 236810, 236771, 236771, 528, 1041, 15749, 19498, 1418, 90345, 236764, 711, 496, 55267, 2324, 236761, 3551, 763, 17966, 2462, 1176, 236764, 623, 236791, 12020, 4666, 236764, 808, 1327, 2489, 236829, 237028, 10732, 6555, 1386, 2563, 38603, 1781, 28344, 611, 110270, 606, 625, 9668, 607, 13822, 13728, 236881, 564, 236858, 236753, 17554, 531, 1024, 236772, 9037, 1056, 564, 1451, 1161, 600, 4481, 8216, 573, 1041, 808, 535, 1841, 236829, 35009, 657, 506, 11379, 913, 4972, 236888, 222194, 106, 107, 105, 4368, 107, 3048, 236789, 500, 11087, 1447, 531, 37386, 237028, 71832, 22050, 1660, 496, 1607, 14988, 1082, 496, 55267, 2324, 236888, 669, 5904, 564, 14877, 6956, 531, 1161, 568, 1708, 808, 236752, 2446, 236772, 2330, 236829, 10615, 2142, 236768, 5889, 236858, 236745, 5402, 573, 4841, 13822, 13728, 236761, 3792, 236858, 236751, 7562, 600, 607, 506, 4338, 6581, 573, 5213, 71832, 15749, 1018, 568, 508, 808, 1132, 53602, 236829, 1473, 108, 7243, 108, 10354, 113452, 5180, 50292, 62480, 86249, 236787, 107, 236772, 5213, 96579, 14664, 66515, 609, 236810, 236771, 236771, 138, 107, 236772, 5213, 68051, 2142, 3136, 66515, 236743, 236800, 236908, 568, 236771, 236761, 236771, 236800, 236768, 138, 107, 236772, 5213, 2866, 66515, 236743, 236778, 1518, 568, 236778, 236812, 3794, 236768, 138, 107, 236772, 5213, 8891, 38229, 13822, 1018, 568, 236749, 578, 236743, 236770, 236778, 236768, 138, 108, 1018, 79670, 66515, 138, 107, 9873, 107, 61688, 578, 593, 621, 3841, 621, 989, 236769, 621, 1420, 18946, 236770, 900, 621, 1420, 236782, 236750, 1170, 236749, 32550, 666, 236783, 753, 236743, 236770, 3378, 1420, 236782, 236750, 1170, 236749, 1807, 621, 898, 236768, 107, 9873, 108, 1018, 164761, 528, 506, 4945, 66515, 138, 107, 9873, 107, 61688, 578, 236743, 236810, 236771, 236771, 621, 3841, 621, 989, 236769, 621, 1420, 18946, 236770, 900, 621, 1420, 236782, 236771, 236761, 236771, 236800, 1170, 236770, 236778, 32550, 236778, 236812, 236783, 753, 236743, 236770, 3378, 1420, 236782, 236771, 236761, 236771, 236800, 1170, 236770, 236778, 1807, 621, 898, 236768, 578, 236743, 236810, 236771, 236771, 621, 3841, 621, 989, 236769, 621, 1420, 18946, 236770, 236761, 236771, 236771, 236778, 236810, 5625, 236778, 236812, 236783, 753, 236743, 236770, 1170, 236771, 236761, 236771, 236771, 236778, 236810, 236783, 621, 898, 236768, 107, 9873, 108, 1018, 4116, 66515, 138, 107, 236772, 12613, 1308, 236743, 236778, 1518, 67081, 5213, 236795, 236770, 236778, 236764, 236800, 236812, 236771, 1018, 568, 16603, 2142, 236768, 138, 107, 236772, 24435, 11317, 578, 5213, 236795, 236770, 236764, 236778, 236771, 236771, 1018, 138, 108, 7243, 108, 10354, 236743, 244549, 156646, 236787, 107, 3048, 236858, 859, 735, 5213, 236795, 236770, 236770, 236764, 236770, 236812, 236771, 4481, 1018, 1308, 13888, 573, 506, 3003, 236888, 222194, 138, 107, 3771, 1202, 531, 1024, 236772, 9037, 237028, 17993, 808, 535, 1841, 35009, 236829, 657, 506, 11379, 913, 4972, 659, 808, 2063, 7115, 236829, 7438, 568, 624, 1299, 1070, 769, 21764, 236829, 65071, 6472, 236764, 520, 10417, 236888, 236829, 236743, 251283, 106, 107, 105, 2364, 107, 236829, 35277, 236751, 1116, 74772, 607, 496, 14819, 236764, 59331, 1116, 4306, 2342, 1116, 24795, 236829, 138, 107, 99963, 236764, 808, 97475, 236829, 237028, 7624, 236858, 560, 2506, 1041, 4945, 6850, 1492, 236888, 2024, 1651, 564, 236858, 236757, 6972, 1003, 1041, 808, 535, 1841, 236829, 7715, 1390, 564, 5601, 768, 1724, 1960, 12420, 735, 11497, 12412, 236881, 3551, 763, 17966, 2462, 1176, 236764, 165996, 236792, 10417, 236764, 506, 1944, 1887, 563, 1298, 506, 808, 106286, 236829, 65896, 1781, 236829, 138, 108, 30092, 611, 2426, 768, 993, 659, 1027, 4481, 12412, 573, 5213, 23019, 236779, 30533, 1018, 12420, 1699, 600, 5904, 236881, 564, 236858, 236753, 17554, 531, 1586, 855, 3209, 993, 236858, 236751, 496, 609, 236810, 236771, 11317, 573, 623, 12915, 5417, 236775, 1651, 564, 236858, 236757, 2036, 124404, 12682, 3983, 5102, 657, 506, 11379, 913, 2290, 236761, 808, 238631, 19254, 4664, 236888, 236829, 236743, 250046, 106, 107, 105, 4368, 107, 236777, 7976, 564, 1451, 2426, 3003, 12412, 573, 611, 236764, 808, 1327, 2489, 30237, 840, 5213, 9745, 529, 1041, 6436, 659, 5402, 531, 1385, 872, 12524, 3003, 12412, 1018, 237028, 20890, 236858, 500, 784, 573, 4867, 6436, 1133, 3869, 6224, 236764, 17461, 236764, 653, 5052, 12412, 568, 5282, 129075, 769, 669, 808, 2084, 236779, 9707, 236779, 828, 236779, 1538, 236779, 136702, 236829, 5904, 564, 735, 1186, 4146, 573, 5213, 61054, 26936, 1018, 568, 236744, 236761, 236759, 1126, 129075, 236786, 217805, 779, 711, 1960, 12420, 236761, 138, 108, 11069, 763, 17966, 236858, 236751, 23069, 563, 7075, 236772, 498, 236787, 5213, 47236, 2426, 506, 5851, 1887, 607, 506, 2528, 5467, 84750, 7660, 11326, 1694, 784, 12412, 580, 910, 4456, 653, 528, 506, 3003, 76112, 237028, 236829, 1904, 11497, 53041, 22429, 1701, 2591, 236764, 496, 609, 236810, 236771, 623, 12915, 5417, 236775, 11317, 563, 3364, 236764, 840, 625, 236858, 236751, 4781, 8207, 8249, 82425, 236761, 138, 108, 8993, 236858, 236745, 12141, 1003, 506, 808, 535, 1841, 236829, 7715, 237028, 17993, 609, 236770, 236778, 236764, 236800, 236812, 236771, 15749, 795, 2890, 506, 3003, 808, 624, 236829, 35009, 808, 4060, 2978, 531, 25315, 22429, 236743, 251283, 246326, 5393, 3972, 236772, 4256, 506, 2528, 236858, 236751, 11317, 10368, 236764, 532, 611, 236858, 859, 577, 13935, 236888, 138, 108, 236829, 238631, 157328, 26484, 236764, 520, 10417, 236888, 236829, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 496, 3530, 15472, 573, 496, 4430, 236789, 236751, 44367, 49052, 236761, 564, 236789, 236757, 3182, 573, 72404, 236772, 52728, 52314, 236772, 624, 236772, 20889, 15472, 600, 236789, 236751, 28597, 236772, 18865, 568, 236811, 7427, 236772, 94636, 653, 40399, 5417, 779, 236743, 236778, 236812, 12371, 5777, 236764, 1208, 609, 236810, 236771, 810, 6309, 236764, 532, 815, 614, 4398, 14470, 529, 236743, 236812, 236761, 236810, 236862, 8197, 236761, 669, 3759, 1374, 4926, 51626, 18193, 59491, 528, 93240, 53184, 3826, 33510, 236761, 3199, 611, 3927, 9593, 236789, 236751, 18241, 607, 1239, 18774, 532, 994, 506, 1903, 236743, 236810, 2536, 607, 21212, 236764, 13376, 236764, 532, 24488, 83073, 8207, 9456, 236881, 6542, 236764, 1451, 611, 2426, 768, 1027, 529, 506, 3835, 735, 4803, 5676, 10595, 49326, 45448, 4342, 653, 2258, 74354, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 3250, 1083, 623, 147716, 84517, 525, 66642, 7086, 72404, 89383, 236772, 624, 236772, 114608, 74047, 827, 623, 9707, 1083, 6610, 236800, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 63265, 1083, 623, 236778, 236812, 8455, 649, 1123, 236743, 236770, 236828, 236771, 8455, 639, 827, 623, 236751, 152405, 236779, 18289, 8112, 1083, 11058, 236811, 7427, 236772, 94636, 3627, 827, 623, 236770, 236771, 236771, 236908, 40399, 5417, 14255, 623, 43852, 236779, 66850, 1083, 11058, 4036, 107375, 9258, 33887, 1388, 580, 1800, 170165, 532, 9862, 51027, 10498, 623, 3484, 563, 93240, 532, 9958, 3418, 68558, 1781, 59117, 3714, 3250, 1083, 623, 17224, 159021, 100056, 72404, 236772, 128345, 74047, 827, 623, 9707, 1083, 6610, 236812, 236832, 236761, 236810, 236771, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 63265, 1083, 623, 236778, 236812, 8455, 1123, 236743, 236770, 236825, 236761, 236810, 12110, 827, 623, 236751, 152405, 236779, 18289, 8112, 1083, 11058, 236780, 167596, 531, 226684, 18663, 827, 623, 181706, 45448, 14255, 623, 43852, 236779, 66850, 1083, 11058, 10423, 1416, 1135, 165440, 2180, 31173, 1308, 236743, 236770, 236778, 3794, 10498, 623, 147398, 3759, 13586, 29110, 7595, 2180, 26787, 506, 2557, 1781, 59117, 3714, 3250, 1083, 623, 44111, 37973, 819, 66642, 53915, 89383, 236772, 624, 236772, 114608, 74047, 827, 623, 9707, 1083, 6610, 236812, 236812, 236761, 236819, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 63265, 1083, 623, 236778, 236812, 8455, 1123, 236743, 236778, 236771, 12110, 827, 623, 236751, 152405, 236779, 18289, 8112, 1083, 11058, 236811, 7427, 29785, 20993, 827, 623, 26834, 236772, 136598, 106301, 14255, 623, 43852, 236779, 66850, 1083, 11058, 4036, 107375, 6332, 16466, 528, 1494, 31992, 4106, 10498, 623, 3484, 56401, 223750, 1308, 236743, 236825, 3794, 529, 26808, 10885, 1781, 59117, 3714, 3250, 1083, 623, 84517, 525, 62300, 4899, 37917, 74047, 753, 66642, 71387, 827, 623, 9707, 1083, 6610, 236800, 236828, 236761, 236771, 236771, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 63265, 1083, 623, 236778, 236812, 8455, 1123, 236743, 236770, 236828, 12110, 827, 623, 236751, 152405, 236779, 18289, 8112, 1083, 11058, 5766, 37917, 3004, 236787, 236743, 236819, 236778, 70887, 623, 71275, 236772, 45258, 12631, 14255, 623, 43852, 236779, 66850, 1083, 11058, 54133, 573, 35208, 11764, 753, 100146, 5583, 2180, 33005, 10498, 623, 3771, 74354, 5773, 528, 8339, 236772, 56215, 44367, 2978, 1781, 59117, 3714, 3250, 1083, 623, 147716, 29557, 72404, 66642, 89383, 236772, 624, 236772, 114608, 827, 623, 9707, 1083, 6610, 236812, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236812, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 63265, 1083, 623, 236778, 236812, 8455, 1123, 236743, 236770, 236832, 236761, 236810, 12110, 827, 623, 236751, 152405, 236779, 18289, 8112, 1083, 11058, 236811, 7427, 236772, 94636, 827, 623, 206589, 55600, 742, 34008, 14255, 623, 43852, 236779, 66850, 1083, 11058, 4036, 107375, 8428, 1308, 236743, 236828, 3794, 528, 496, 2837, 12698, 15406, 10498, 623, 3484, 7412, 8427, 45356, 528, 1589, 1082, 5498, 206840, 1781, 21111, 1604, 623, 14210, 1083, 623, 4906, 1698, 568, 147716, 29557, 236768, 42298, 45448, 4342, 528, 1494, 236772, 77269, 18567, 236761, 2343, 3496, 1407, 951, 3629, 24764, 1003, 45448, 3736, 653, 2258, 74354, 528, 4803, 10595, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236810, 9593, 2536, 16590, 822, 44367, 15472, 13138, 236787, 108, 236770, 236761, 5213, 147716, 84517, 525, 66642, 7086, 1018, 138, 107, 139, 236772, 609, 236800, 236819, 236761, 236819, 236819, 1109, 236743, 236812, 236761, 236825, 238672, 1109, 236743, 236778, 236812, 236775, 1123, 236743, 236770, 236828, 236771, 236775, 138, 107, 139, 236772, 16344, 8112, 236787, 187116, 236772, 94636, 236764, 236743, 236770, 236771, 236771, 236908, 40399, 138, 107, 139, 236772, 2301, 45448, 236786, 3001, 4342, 4785, 138, 108, 236778, 236761, 5213, 17224, 159021, 100056, 1018, 138, 107, 139, 236772, 609, 236812, 236832, 236761, 236810, 236771, 1109, 236743, 236812, 236761, 236832, 238672, 1109, 236743, 236778, 236812, 236775, 1123, 236743, 236770, 236825, 236761, 236810, 236789, 138, 107, 139, 236772, 16344, 8112, 236787, 226684, 531, 226684, 18663, 138, 107, 139, 236772, 2301, 45448, 236786, 3001, 4342, 4785, 138, 108, 236800, 236761, 5213, 44111, 37973, 819, 66642, 53915, 1018, 138, 107, 139, 236772, 609, 236812, 236812, 236761, 236819, 236810, 1109, 236743, 236812, 236761, 236810, 238672, 1109, 236743, 236778, 236812, 236775, 1123, 236743, 236778, 236771, 236789, 138, 107, 139, 236772, 16344, 8112, 236787, 187116, 29785, 236764, 14533, 236772, 136598, 106301, 138, 107, 139, 236772, 3656, 31992, 236772, 10619, 45448, 4561, 8601, 138, 108, 236812, 236761, 5213, 84517, 525, 62300, 4899, 37917, 1018, 138, 107, 139, 236772, 609, 236800, 236828, 236761, 236771, 236771, 1109, 236743, 236812, 236761, 236828, 238672, 1109, 236743, 236778, 236812, 236775, 1123, 236743, 236770, 236828, 236789, 138, 107, 139, 236772, 16344, 8112, 236787, 236743, 236819, 236778, 236908, 40399, 3004, 138, 107, 139, 236772, 2301, 45448, 236786, 3001, 4342, 4785, 138, 108, 236810, 236761, 5213, 147716, 29557, 72404, 66642, 1018, 138, 107, 139, 236772, 609, 236812, 236819, 236761, 236819, 236819, 1109, 236743, 236812, 236761, 236812, 238672, 1109, 236743, 236778, 236812, 236775, 1123, 236743, 236770, 236832, 236761, 236810, 236789, 138, 107, 139, 236772, 16344, 8112, 236787, 187116, 236772, 94636, 236764, 106326, 138, 107, 139, 236772, 5213, 4036, 107375, 8428, 1308, 236743, 236828, 3794, 528, 2837, 12698, 18567, 1018, 138, 108, 10354, 9533, 76374, 236787, 138, 107, 236772, 236743, 236812, 236786, 236810, 3835, 735, 951, 45448, 236786, 3001, 24764, 528, 4803, 10595, 138, 107, 236772, 43804, 29557, 568, 236812, 236761, 236812, 238672, 236768, 3831, 31992, 236772, 10619, 45448, 22702, 1271, 5571, 573, 11630, 607, 13379, 568, 236744, 236761, 236759, 1126, 3541, 65443, 236768, 138, 107, 236772, 70401, 62300, 5469, 1791, 1550, 657, 609, 236800, 236828, 607, 7310, 14470, 568, 236812, 236761, 236828, 238672, 236768, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236768, 91820, 9813, 23003, 573, 1027, 9456, 1698, 236881, 138, 107, 236778, 236768, 7179, 3530, 10595, 49326, 623, 222370, 236775, 653, 623, 236760, 7185, 236775, 573, 19276, 3671, 236881, 138, 107, 236800, 236768, 44906, 13376, 2342, 10944, 44367, 3549, 11550, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 8159, 496, 3530, 15472, 573, 496, 4430, 236789, 236751, 44367, 49052, 236761, 564, 236789, 236757, 3182, 573, 72404, 236772, 52728, 52314, 236772, 624, 236772, 20889, 15472, 600, 236789, 236751, 28597, 236772, 18865, 568, 236811, 7427, 236772, 94636, 653, 40399, 5417, 779, 236743, 236778, 236812, 12371, 5777, 236764, 1208, 609, 236810, 236771, 810, 6309, 236764, 532, 815, 614, 4398, 14470, 529, 236743, 236812, 236761, 236810, 236862, 8197, 236761, 669, 3759, 1374, 4926, 51626, 18193, 59491, 528, 93240, 53184, 3826, 33510, 236761, 3199, 611, 3927, 9593, 236789, 236751, 18241, 607, 1239, 18774, 532, 994, 506, 1903, 236743, 236810, 2536, 607, 21212, 236764, 13376, 236764, 532, 24488, 83073, 8207, 9456, 236881, 6542, 236764, 1451, 611, 2426, 768, 1027, 529, 506, 3835, 735, 4803, 5676, 10595, 49326, 45448, 4342, 653, 2258, 74354, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 3250, 1083, 623, 147716, 84517, 525, 66642, 7086, 72404, 89383, 236772, 624, 236772, 114608, 74047, 827, 623, 9707, 1083, 6610, 236800, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 63265, 1083, 623, 236778, 236812, 8455, 649, 1123, 236743, 236770, 236828, 236771, 8455, 639, 827, 623, 236751, 152405, 236779, 18289, 8112, 1083, 11058, 236811, 7427, 236772, 94636, 3627, 827, 623, 236770, 236771, 236771, 236908, 40399, 5417, 14255, 623, 43852, 236779, 66850, 1083, 11058, 4036, 107375, 9258, 33887, 1388, 580, 1800, 170165, 532, 9862, 51027, 10498, 623, 3484, 563, 93240, 532, 9958, 3418, 68558, 1781, 59117, 3714, 3250, 1083, 623, 17224, 159021, 100056, 72404, 236772, 128345, 74047, 827, 623, 9707, 1083, 6610, 236812, 236832, 236761, 236810, 236771, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 63265, 1083, 623, 236778, 236812, 8455, 1123, 236743, 236770, 236825, 236761, 236810, 12110, 827, 623, 236751, 152405, 236779, 18289, 8112, 1083, 11058, 236780, 167596, 531, 226684, 18663, 827, 623, 181706, 45448, 14255, 623, 43852, 236779, 66850, 1083, 11058, 10423, 1416, 1135, 165440, 2180, 31173, 1308, 236743, 236770, 236778, 3794, 10498, 623, 147398, 3759, 13586, 29110, 7595, 2180, 26787, 506, 2557, 1781, 59117, 3714, 3250, 1083, 623, 44111, 37973, 819, 66642, 53915, 89383, 236772, 624, 236772, 114608, 74047, 827, 623, 9707, 1083, 6610, 236812, 236812, 236761, 236819, 236810, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 63265, 1083, 623, 236778, 236812, 8455, 1123, 236743, 236778, 236771, 12110, 827, 623, 236751, 152405, 236779, 18289, 8112, 1083, 11058, 236811, 7427, 29785, 20993, 827, 623, 26834, 236772, 136598, 106301, 14255, 623, 43852, 236779, 66850, 1083, 11058, 4036, 107375, 6332, 16466, 528, 1494, 31992, 4106, 10498, 623, 3484, 56401, 223750, 1308, 236743, 236825, 3794, 529, 26808, 10885, 1781, 59117, 3714, 3250, 1083, 623, 84517, 525, 62300, 4899, 37917, 74047, 753, 66642, 71387, 827, 623, 9707, 1083, 6610, 236800, 236828, 236761, 236771, 236771, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 63265, 1083, 623, 236778, 236812, 8455, 1123, 236743, 236770, 236828, 12110, 827, 623, 236751, 152405, 236779, 18289, 8112, 1083, 11058, 5766, 37917, 3004, 236787, 236743, 236819, 236778, 70887, 623, 71275, 236772, 45258, 12631, 14255, 623, 43852, 236779, 66850, 1083, 11058, 54133, 573, 35208, 11764, 753, 100146, 5583, 2180, 33005, 10498, 623, 3771, 74354, 5773, 528, 8339, 236772, 56215, 44367, 2978, 1781, 59117, 3714, 3250, 1083, 623, 147716, 29557, 72404, 66642, 89383, 236772, 624, 236772, 114608, 827, 623, 9707, 1083, 6610, 236812, 236819, 236761, 236819, 236819, 827, 623, 13126, 1083, 236743, 236812, 236761, 236812, 236764, 623, 56905, 1083, 623, 902, 13827, 827, 623, 63265, 1083, 623, 236778, 236812, 8455, 1123, 236743, 236770, 236832, 236761, 236810, 12110, 827, 623, 236751, 152405, 236779, 18289, 8112, 1083, 11058, 236811, 7427, 236772, 94636, 827, 623, 206589, 55600, 742, 34008, 14255, 623, 43852, 236779, 66850, 1083, 11058, 4036, 107375, 8428, 1308, 236743, 236828, 3794, 528, 496, 2837, 12698, 15406, 10498, 623, 3484, 7412, 8427, 45356, 528, 1589, 1082, 5498, 206840, 1781, 21111, 1604, 623, 14210, 1083, 623, 4906, 1698, 568, 147716, 29557, 236768, 42298, 45448, 4342, 528, 1494, 236772, 77269, 18567, 236761, 2343, 3496, 1407, 951, 3629, 24764, 1003, 45448, 3736, 653, 2258, 74354, 528, 4803, 10595, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 1903, 236743, 236810, 9593, 2536, 16590, 822, 44367, 15472, 13138, 236787, 108, 236770, 236761, 5213, 147716, 84517, 525, 66642, 7086, 1018, 138, 107, 139, 236772, 609, 236800, 236819, 236761, 236819, 236819, 1109, 236743, 236812, 236761, 236825, 238672, 1109, 236743, 236778, 236812, 236775, 1123, 236743, 236770, 236828, 236771, 236775, 138, 107, 139, 236772, 16344, 8112, 236787, 187116, 236772, 94636, 236764, 236743, 236770, 236771, 236771, 236908, 40399, 138, 107, 139, 236772, 2301, 45448, 236786, 3001, 4342, 4785, 138, 108, 236778, 236761, 5213, 17224, 159021, 100056, 1018, 138, 107, 139, 236772, 609, 236812, 236832, 236761, 236810, 236771, 1109, 236743, 236812, 236761, 236832, 238672, 1109, 236743, 236778, 236812, 236775, 1123, 236743, 236770, 236825, 236761, 236810, 236789, 138, 107, 139, 236772, 16344, 8112, 236787, 226684, 531, 226684, 18663, 138, 107, 139, 236772, 2301, 45448, 236786, 3001, 4342, 4785, 138, 108, 236800, 236761, 5213, 44111, 37973, 819, 66642, 53915, 1018, 138, 107, 139, 236772, 609, 236812, 236812, 236761, 236819, 236810, 1109, 236743, 236812, 236761, 236810, 238672, 1109, 236743, 236778, 236812, 236775, 1123, 236743, 236778, 236771, 236789, 138, 107, 139, 236772, 16344, 8112, 236787, 187116, 29785, 236764, 14533, 236772, 136598, 106301, 138, 107, 139, 236772, 3656, 31992, 236772, 10619, 45448, 4561, 8601, 138, 108, 236812, 236761, 5213, 84517, 525, 62300, 4899, 37917, 1018, 138, 107, 139, 236772, 609, 236800, 236828, 236761, 236771, 236771, 1109, 236743, 236812, 236761, 236828, 238672, 1109, 236743, 236778, 236812, 236775, 1123, 236743, 236770, 236828, 236789, 138, 107, 139, 236772, 16344, 8112, 236787, 236743, 236819, 236778, 236908, 40399, 3004, 138, 107, 139, 236772, 2301, 45448, 236786, 3001, 4342, 4785, 138, 108, 236810, 236761, 5213, 147716, 29557, 72404, 66642, 1018, 138, 107, 139, 236772, 609, 236812, 236819, 236761, 236819, 236819, 1109, 236743, 236812, 236761, 236812, 238672, 1109, 236743, 236778, 236812, 236775, 1123, 236743, 236770, 236832, 236761, 236810, 236789, 138, 107, 139, 236772, 16344, 8112, 236787, 187116, 236772, 94636, 236764, 106326, 138, 107, 139, 236772, 5213, 4036, 107375, 8428, 1308, 236743, 236828, 3794, 528, 2837, 12698, 18567, 1018, 138, 108, 10354, 9533, 76374, 236787, 138, 107, 236772, 236743, 236812, 236786, 236810, 3835, 735, 951, 45448, 236786, 3001, 24764, 528, 4803, 10595, 138, 107, 236772, 43804, 29557, 568, 236812, 236761, 236812, 238672, 236768, 3831, 31992, 236772, 10619, 45448, 22702, 1271, 5571, 573, 11630, 607, 13379, 568, 236744, 236761, 236759, 1126, 3541, 65443, 236768, 138, 107, 236772, 70401, 62300, 5469, 1791, 1550, 657, 609, 236800, 236828, 607, 7310, 14470, 568, 236812, 236761, 236828, 238672, 236768, 138, 108, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236768, 91820, 9813, 23003, 573, 1027, 9456, 1698, 236881, 138, 107, 236778, 236768, 7179, 3530, 10595, 49326, 623, 222370, 236775, 653, 623, 236760, 7185, 236775, 573, 19276, 3671, 236881, 138, 107, 236800, 236768, 44906, 13376, 2342, 10944, 44367, 3549, 11550, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 22293, 496, 52705, 12441, 4598, 13696, 684, 26135, 6540, 532, 1202, 1601, 1313, 1194, 506, 4011, 2707, 236761, 5715, 236789, 236751, 1144, 564, 1202, 611, 531, 776, 236787, 236743, 236770, 236761, 5315, 236764, 1161, 506, 41801, 10739, 4560, 1411, 5265, 236761, 57608, 236761, 854, 236786, 31040, 236786, 236770, 236810, 236770, 236765, 236770, 186895, 193839, 15059, 236855, 40205, 236819, 17179, 52750, 236819, 236953, 236800, 531, 12270, 220261, 569, 7072, 67976, 236789, 236751, 35598, 532, 2583, 786, 910, 19293, 532, 5588, 14069, 236761, 564, 1461, 531, 4926, 1116, 4252, 236761, 236743, 236778, 236761, 4934, 1724, 35598, 236764, 8701, 506, 886, 607, 506, 1346, 111837, 16710, 573, 12441, 86691, 236761, 3792, 236789, 236751, 1879, 625, 236789, 236751, 623, 4967, 639, 3159, 4267, 236775, 568, 5503, 16807, 769, 4298, 236764, 1699, 506, 5588, 3433, 529, 600, 8412, 236764, 2426, 837, 30817, 13251, 19681, 531, 1913, 600, 990, 2846, 753, 564, 1461, 531, 9128, 9226, 4403, 236761, 236743, 236800, 236761, 10352, 13251, 236789, 236751, 30817, 1938, 699, 2918, 236743, 236778, 236764, 18840, 506, 2846, 1534, 6198, 236743, 236770, 236772, 236800, 236770, 529, 506, 1051, 506, 8412, 691, 6811, 531, 2426, 573, 1027, 3629, 9226, 4749, 528, 13251, 600, 1451, 30463, 1023, 6831, 236761, 236743, 236812, 236761, 13472, 236764, 1868, 496, 5739, 580, 1041, 7200, 1868, 657, 4560, 1411, 542, 957, 552, 33678, 236761, 854, 236786, 126203, 2723, 236772, 9467, 2440, 236787, 753, 669, 8412, 1463, 532, 236743, 236778, 10325, 16710, 753, 669, 30817, 1938, 753, 669, 9226, 2460, 611, 1765, 753, 562, 2822, 5433, 1003, 1217, 1239, 4820, 795, 6230, 506, 12441, 2707, 9996, 2889, 1546, 2918, 6178, 506, 2005, 5904, 532, 506, 3938, 699, 886, 2918, 75125, 506, 2148, 236761, 564, 1461, 672, 531, 577, 614, 24636, 19138, 529, 26135, 6540, 600, 564, 740, 4024, 607, 1041, 22726, 16934, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 111396, 1083, 78493, 3250, 1083, 623, 4967, 639, 3159, 4267, 827, 623, 18381, 236779, 1896, 1083, 623, 236770, 236819, 236819, 236832, 236772, 236771, 236770, 236772, 236771, 236770, 23179, 3714, 3250, 1083, 623, 818, 21887, 7901, 827, 623, 18381, 236779, 1896, 1083, 623, 236770, 236819, 236819, 236819, 236772, 236771, 236770, 236772, 236771, 236770, 23179, 3714, 3250, 1083, 623, 236798, 117813, 827, 623, 18381, 236779, 1896, 1083, 623, 236778, 236771, 236771, 236819, 236772, 236771, 236770, 236772, 236771, 236770, 25938, 1604, 623, 4375, 1083, 623, 85532, 74063, 220261, 569, 179847, 3604, 236789, 236751, 35598, 699, 41801, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 25907, 5711, 827, 623, 101018, 236779, 3970, 1083, 623, 4383, 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, 29995, 1083, 3714, 13330, 236779, 547, 1083, 623, 46456, 1908, 236772, 11681, 2483, 236764, 2506, 7738, 2483, 236775, 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, 13330, 236779, 547, 14255, 623, 29995, 1083, 642, 19465, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 8330, 4186, 607, 506, 5904, 236761, 5612, 506, 2165, 13330, 236779, 547, 236929, 7689, 563, 3149, 532, 692, 1537, 236789, 236745, 735, 886, 2487, 236764, 564, 236789, 859, 1202, 531, 20327, 672, 3530, 9226, 2460, 3671, 2918, 236761, 3153, 236764, 564, 740, 2036, 150400, 614, 24636, 26135, 12441, 2707, 1699, 506, 27662, 1938, 692, 735, 236761, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 59336, 6672, 26135, 19292, 573, 822, 6831, 2721, 580, 2870, 4654, 107, 236778, 236761, 101685, 607, 25035, 506, 7200, 5739, 1699, 506, 2487, 1938, 107, 236800, 236761, 15325, 614, 9302, 4313, 531, 506, 9226, 4403, 3671, 108, 3689, 1093, 577, 1346, 11045, 573, 822, 12441, 4598, 12652, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 22293, 496, 52705, 12441, 4598, 13696, 684, 26135, 6540, 532, 1202, 1601, 1313, 1194, 506, 4011, 2707, 236761, 5715, 236789, 236751, 1144, 564, 1202, 611, 531, 776, 236787, 236743, 236770, 236761, 5315, 236764, 1161, 506, 41801, 10739, 4560, 1411, 5265, 236761, 57608, 236761, 854, 236786, 31040, 236786, 236770, 236810, 236770, 236765, 236770, 186895, 193839, 15059, 236855, 40205, 236819, 17179, 52750, 236819, 236953, 236800, 531, 12270, 220261, 569, 7072, 67976, 236789, 236751, 35598, 532, 2583, 786, 910, 19293, 532, 5588, 14069, 236761, 564, 1461, 531, 4926, 1116, 4252, 236761, 236743, 236778, 236761, 4934, 1724, 35598, 236764, 8701, 506, 886, 607, 506, 1346, 111837, 16710, 573, 12441, 86691, 236761, 3792, 236789, 236751, 1879, 625, 236789, 236751, 623, 4967, 639, 3159, 4267, 236775, 568, 5503, 16807, 769, 4298, 236764, 1699, 506, 5588, 3433, 529, 600, 8412, 236764, 2426, 837, 30817, 13251, 19681, 531, 1913, 600, 990, 2846, 753, 564, 1461, 531, 9128, 9226, 4403, 236761, 236743, 236800, 236761, 10352, 13251, 236789, 236751, 30817, 1938, 699, 2918, 236743, 236778, 236764, 18840, 506, 2846, 1534, 6198, 236743, 236770, 236772, 236800, 236770, 529, 506, 1051, 506, 8412, 691, 6811, 531, 2426, 573, 1027, 3629, 9226, 4749, 528, 13251, 600, 1451, 30463, 1023, 6831, 236761, 236743, 236812, 236761, 13472, 236764, 1868, 496, 5739, 580, 1041, 7200, 1868, 657, 4560, 1411, 542, 957, 552, 33678, 236761, 854, 236786, 126203, 2723, 236772, 9467, 2440, 236787, 753, 669, 8412, 1463, 532, 236743, 236778, 10325, 16710, 753, 669, 30817, 1938, 753, 669, 9226, 2460, 611, 1765, 753, 562, 2822, 5433, 1003, 1217, 1239, 4820, 795, 6230, 506, 12441, 2707, 9996, 2889, 1546, 2918, 6178, 506, 2005, 5904, 532, 506, 3938, 699, 886, 2918, 75125, 506, 2148, 236761, 564, 1461, 672, 531, 577, 614, 24636, 19138, 529, 26135, 6540, 600, 564, 740, 4024, 607, 1041, 22726, 16934, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 111396, 1083, 78493, 3250, 1083, 623, 4967, 639, 3159, 4267, 827, 623, 18381, 236779, 1896, 1083, 623, 236770, 236819, 236819, 236832, 236772, 236771, 236770, 236772, 236771, 236770, 23179, 3714, 3250, 1083, 623, 818, 21887, 7901, 827, 623, 18381, 236779, 1896, 1083, 623, 236770, 236819, 236819, 236819, 236772, 236771, 236770, 236772, 236771, 236770, 23179, 3714, 3250, 1083, 623, 236798, 117813, 827, 623, 18381, 236779, 1896, 1083, 623, 236778, 236771, 236771, 236819, 236772, 236771, 236770, 236772, 236771, 236770, 25938, 1604, 623, 4375, 1083, 623, 85532, 74063, 220261, 569, 179847, 3604, 236789, 236751, 35598, 699, 41801, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 25907, 5711, 827, 623, 101018, 236779, 3970, 1083, 623, 4383, 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, 29995, 1083, 3714, 13330, 236779, 547, 1083, 623, 46456, 1908, 236772, 11681, 2483, 236764, 2506, 7738, 2483, 236775, 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, 13330, 236779, 547, 14255, 623, 29995, 1083, 642, 19465, 106, 107, 105, 4368, 107, 236777, 57428, 573, 506, 8330, 4186, 607, 506, 5904, 236761, 5612, 506, 2165, 13330, 236779, 547, 236929, 7689, 563, 3149, 532, 692, 1537, 236789, 236745, 735, 886, 2487, 236764, 564, 236789, 859, 1202, 531, 20327, 672, 3530, 9226, 2460, 3671, 2918, 236761, 3153, 236764, 564, 740, 2036, 150400, 614, 24636, 26135, 12441, 2707, 1699, 506, 27662, 1938, 692, 735, 236761, 108, 38786, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 59336, 6672, 26135, 19292, 573, 822, 6831, 2721, 580, 2870, 4654, 107, 236778, 236761, 101685, 607, 25035, 506, 7200, 5739, 1699, 506, 2487, 1938, 107, 236800, 236761, 15325, 614, 9302, 4313, 531, 506, 9226, 4403, 3671, 108, 3689, 1093, 577, 1346, 11045, 573, 822, 12441, 4598, 12652, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 12498, 236772, 24333, 236764, 564, 1202, 506, 124046, 236789, 10368, 573, 506, 2148, 1156, 5695, 236761, 564, 236789, 236757, 22293, 496, 2290, 3446, 532, 1461, 531, 1386, 2889, 564, 1537, 236789, 236745, 4305, 910, 184820, 236761, 6890, 506, 974, 236779, 14992, 236779, 41413, 5904, 607, 2434, 194743, 1076, 531, 13476, 236855, 236761, 3792, 786, 1281, 506, 14069, 236764, 31445, 236764, 532, 6508, 236772, 2865, 2782, 236761, 564, 236789, 859, 4516, 1202, 919, 4889, 580, 3530, 4972, 3209, 236764, 840, 1502, 607, 600, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14992, 1083, 623, 4199, 3773, 124046, 827, 623, 14992, 194743, 1083, 623, 23551, 236855, 827, 623, 19458, 1083, 623, 236778, 236771, 236778, 236800, 827, 623, 41413, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 827, 623, 157638, 1083, 623, 67784, 112585, 827, 623, 18320, 236779, 2865, 1083, 623, 236770, 236819, 236787, 236771, 236771, 20157, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 827, 623, 157638, 1083, 623, 120365, 27213, 827, 623, 18320, 236779, 2865, 1083, 623, 236778, 236771, 236787, 236800, 236771, 20157, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 827, 623, 157638, 1083, 623, 48496, 3245, 51381, 827, 623, 18320, 236779, 2865, 1083, 623, 236778, 236778, 236787, 236771, 236771, 20157, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236778, 827, 623, 157638, 1083, 623, 104561, 236743, 236832, 236825, 616, 827, 623, 18320, 236779, 2865, 1083, 623, 236770, 236819, 236787, 236800, 236771, 20157, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236812, 827, 623, 157638, 1083, 623, 87866, 127743, 827, 623, 18320, 236779, 2865, 1083, 623, 236778, 236771, 236787, 236771, 236771, 20157, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1799, 3773, 124046, 236789, 10368, 573, 506, 2148, 1156, 5695, 236787, 108, 1018, 170886, 15268, 53121, 107, 236770, 236761, 5213, 36817, 236743, 236778, 236810, 1018, 7728, 14850, 112585, 753, 236743, 236770, 236819, 236787, 236771, 236771, 20157, 138, 107, 236778, 236761, 5213, 36817, 236743, 236778, 236828, 1018, 7728, 22403, 27213, 753, 236743, 236778, 236771, 236787, 236800, 236771, 20157, 138, 107, 236800, 236761, 5213, 36817, 236743, 236800, 236771, 1018, 7728, 16522, 3245, 51381, 753, 236743, 236778, 236778, 236787, 236771, 236771, 20157, 138, 107, 236812, 236761, 5213, 36956, 236743, 236778, 1018, 7728, 19662, 236743, 236832, 236825, 616, 753, 236743, 236770, 236819, 236787, 236800, 236771, 20157, 138, 107, 236810, 236761, 5213, 36956, 236743, 236812, 1018, 7728, 20422, 127743, 753, 236743, 236778, 236771, 236787, 236771, 236771, 20157, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 4889, 1133, 6115, 12606, 236764, 2290, 11024, 236764, 653, 1759, 236772, 2289, 12496, 573, 1027, 3530, 76892, 236888, 236743, 248207, 106, 107, 105, 2364, 107, 12879, 573, 506, 10368, 236888, 564, 236789, 236757, 6412, 7467, 528, 506, 6198, 236743, 236800, 236771, 2290, 2342, 506, 51381, 236761, 3199, 611, 1161, 974, 236779, 28122, 236779, 5567, 236779, 23245, 607, 506, 2290, 31744, 573, 600, 76892, 236881, 564, 1461, 531, 1281, 506, 29451, 4563, 532, 974, 496, 5113, 529, 506, 2290, 236789, 236751, 21238, 6998, 1164, 506, 6508, 236772, 2865, 236761, 6542, 236764, 2426, 768, 993, 236789, 236751, 1027, 9938, 12496, 573, 506, 124046, 36691, 2101, 600, 3433, 1699, 974, 236779, 236749, 3604, 236779, 210994, 236779, 2234, 236779, 18308, 753, 564, 6827, 10798, 15383, 511, 815, 1010, 129918, 33208, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14968, 236779, 14992, 1083, 623, 48496, 3245, 51381, 827, 623, 8147, 236779, 14992, 1083, 623, 4199, 3773, 124046, 827, 623, 5567, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 827, 623, 3041, 236779, 2289, 236779, 536, 1083, 623, 236770, 236819, 236787, 236800, 236771, 20157, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 210994, 236779, 53247, 1083, 78493, 5000, 1083, 623, 83621, 2786, 10798, 15383, 511, 827, 623, 14992, 1083, 623, 4199, 3773, 124046, 827, 623, 210994, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236810, 827, 623, 210994, 236779, 2084, 1083, 623, 7225, 40900, 892, 1256, 827, 623, 4818, 1083, 623, 3949, 573, 236743, 236800, 4972, 827, 623, 2060, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236770, 236771, 236770, 23179, 3714, 5000, 1083, 623, 30588, 8875, 30464, 519, 827, 623, 14992, 1083, 623, 4199, 3773, 124046, 827, 623, 210994, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236828, 827, 623, 210994, 236779, 2084, 1083, 623, 9057, 21980, 798, 5038, 827, 623, 4818, 1083, 623, 14977, 742, 573, 236743, 236778, 4972, 827, 623, 2060, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236770, 236771, 236800, 25938, 1604, 623, 2289, 6516, 236779, 158365, 3059, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236800, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236771, 236800, 236771, 23179, 623, 14992, 236779, 7212, 1083, 623, 35746, 8523, 827, 623, 1516, 236779, 6265, 236779, 14210, 1083, 623, 76796, 15297, 753, 11858, 10634, 1149, 9729, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 573, 506, 6198, 236743, 236800, 236771, 124046, 7728, 51381, 2290, 532, 9938, 12496, 236787, 108, 1018, 8802, 20303, 53121, 138, 107, 236772, 5213, 141852, 53121, 32885, 18338, 19871, 568, 23551, 236855, 2033, 2290, 236768, 138, 107, 236772, 5213, 6302, 7578, 53121, 236743, 236770, 236819, 236787, 236800, 236771, 20157, 568, 236832, 236787, 236800, 236771, 8711, 17792, 7578, 236768, 138, 107, 236772, 5213, 8802, 5853, 53121, 236743, 236778, 236771, 236778, 236800, 236770, 236771, 236800, 236771, 236779, 15683, 236824, 236940, 23551, 236855, 138, 108, 1018, 35746, 8523, 78106, 47203, 568, 20123, 236743, 236778, 236800, 236772, 236800, 236771, 99299, 1473, 1018, 138, 107, 236770, 236761, 5213, 83621, 2786, 10798, 15383, 511, 1018, 568, 236780, 236768, 138, 107, 139, 236772, 5213, 184904, 53121, 12488, 40900, 892, 1256, 568, 20123, 236743, 236778, 236810, 236768, 138, 107, 139, 236772, 5213, 6717, 53121, 5641, 573, 236743, 236800, 4972, 568, 15072, 8934, 236743, 236770, 236768, 138, 107, 139, 236772, 5213, 66207, 53121, 4291, 4305, 506, 51381, 2290, 138, 108, 236778, 236761, 5213, 30588, 8875, 30464, 519, 1018, 568, 30844, 236768, 138, 107, 139, 236772, 5213, 184904, 53121, 28612, 21980, 798, 5038, 568, 20123, 236743, 236778, 236828, 236768, 138, 107, 139, 236772, 5213, 6717, 53121, 19566, 742, 573, 236743, 236778, 4972, 568, 15072, 8934, 236743, 236800, 236768, 138, 107, 139, 236772, 5213, 66207, 53121, 169931, 531, 4305, 506, 51381, 2290, 138, 108, 38786, 611, 1133, 786, 531, 2426, 34637, 26844, 653, 4155, 3736, 20673, 573, 672, 76892, 2148, 236881, 236743, 248207, 195096, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2426, 506, 34637, 26844, 573, 506, 51381, 2290, 1699, 974, 236779, 236749, 3604, 236779, 8245, 1493, 236779, 79692, 607, 2290, 547, 236743, 236778, 236771, 236778, 236800, 236770, 236771, 236800, 236771, 236779, 15683, 236824, 236940, 23551, 236855, 236761, 564, 1461, 531, 1460, 1217, 506, 9938, 12496, 4208, 506, 4463, 753, 15174, 10798, 15383, 511, 532, 30464, 519, 4516, 3590, 775, 1208, 85520, 236761, 6542, 236764, 1161, 974, 236779, 236749, 3604, 236779, 35365, 236779, 624, 236779, 23251, 236779, 1708, 236779, 236746, 236779, 18999, 236779, 5000, 531, 8091, 75094, 30464, 519, 236789, 236751, 3409, 20673, 834, 564, 740, 1460, 1144, 692, 236789, 500, 9724, 528, 672, 76892, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 70733, 17133, 1083, 870, 107, 140, 236782, 107, 142, 236775, 1201, 1083, 623, 80262, 141710, 827, 107, 142, 236775, 34899, 1257, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236770, 236832, 236771, 236764, 107, 144, 236775, 14968, 1083, 900, 236770, 236810, 236771, 107, 142, 1263, 107, 142, 236775, 47706, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236810, 236761, 236810, 236764, 107, 144, 236775, 14968, 1083, 900, 236810, 236761, 236810, 107, 142, 1263, 107, 142, 236775, 77371, 1083, 236743, 236778, 236778, 236810, 236761, 236810, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 1201, 1083, 623, 17056, 236792, 24464, 827, 107, 142, 236775, 34899, 1257, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236770, 236825, 236810, 236764, 107, 144, 236775, 14968, 1083, 900, 236770, 236812, 236810, 107, 142, 1263, 107, 142, 236775, 47706, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236810, 236761, 236771, 236764, 107, 144, 236775, 14968, 1083, 900, 236810, 236761, 236771, 107, 142, 1263, 107, 142, 236775, 77371, 1083, 236743, 236778, 236778, 236812, 236761, 236810, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 1201, 1083, 623, 17832, 37995, 236789, 236751, 827, 107, 142, 236775, 34899, 1257, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236770, 236832, 236810, 236764, 107, 144, 236775, 14968, 1083, 900, 236770, 236810, 236810, 107, 142, 1263, 107, 142, 236775, 47706, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236825, 236761, 236771, 236764, 107, 144, 236775, 14968, 1083, 900, 236825, 236761, 236771, 107, 142, 1263, 107, 142, 236775, 77371, 1083, 236743, 236778, 236778, 236832, 236761, 236771, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 1201, 1083, 623, 19622, 17056, 827, 107, 142, 236775, 34899, 1257, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236770, 236825, 236771, 236764, 107, 144, 236775, 14968, 1083, 900, 236770, 236812, 236771, 107, 142, 1263, 107, 142, 236775, 47706, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236812, 236761, 236810, 236764, 107, 144, 236775, 14968, 1083, 900, 236812, 236761, 236810, 107, 142, 1263, 107, 142, 236775, 77371, 1083, 236743, 236778, 236778, 236800, 236761, 236771, 107, 140, 236783, 107, 138, 1604, 107, 138, 236775, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 236775, 107, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 5000, 236779, 3906, 1083, 3714, 5000, 236779, 547, 1083, 623, 236778, 236771, 236800, 236819, 236812, 236812, 827, 623, 1201, 1083, 623, 30588, 8875, 30464, 519, 827, 623, 14992, 1083, 623, 48496, 3245, 51381, 827, 623, 3473, 1083, 623, 54659, 23179, 623, 19458, 1083, 623, 236778, 236771, 236778, 236800, 827, 623, 35365, 236779, 61101, 1083, 236743, 236825, 236771, 236764, 623, 19458, 236779, 20229, 1283, 1083, 3714, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236770, 236828, 236761, 236810, 236764, 623, 16504, 3575, 236779, 721, 236779, 5567, 1083, 236743, 236832, 236761, 236810, 236764, 623, 702, 1954, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236761, 236800, 236764, 623, 3593, 236779, 29538, 236779, 45118, 1083, 236743, 236771, 236761, 236812, 236832, 236810, 236764, 623, 19891, 236779, 3947, 236779, 45118, 1083, 236743, 236771, 236761, 236800, 236810, 236778, 236764, 623, 38466, 236779, 721, 236779, 5567, 1083, 236743, 236800, 236778, 236761, 236812, 1263, 623, 43852, 236779, 35365, 1083, 78493, 5567, 236779, 547, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236771, 236800, 236771, 236779, 15683, 236824, 236940, 23551, 236855, 827, 623, 11116, 1083, 236743, 236778, 236778, 236764, 623, 16504, 3575, 1083, 236743, 236819, 236764, 623, 702, 1954, 1083, 236743, 236800, 236764, 623, 4818, 1083, 623, 141007, 23179, 3714, 5567, 236779, 547, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236828, 236779, 15683, 236824, 236940, 213900, 827, 623, 11116, 1083, 236743, 236770, 236810, 236764, 623, 16504, 3575, 1083, 236743, 236825, 236764, 623, 702, 1954, 1083, 236743, 236770, 236764, 623, 4818, 1083, 623, 141007, 23179, 3714, 5567, 236779, 547, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236810, 236779, 15683, 236824, 236940, 56606, 827, 623, 11116, 1083, 236743, 236770, 236771, 236764, 623, 16504, 3575, 1083, 236743, 236812, 236764, 623, 702, 1954, 1083, 236743, 236778, 236764, 623, 4818, 1083, 623, 15562, 3790, 9274, 827, 623, 210994, 236779, 14210, 1083, 623, 14151, 25938, 1604, 623, 32677, 236779, 23184, 1083, 623, 223207, 3972, 236772, 7902, 46478, 607, 9806, 1806, 236772, 3947, 9286, 568, 236800, 236810, 236761, 236778, 11376, 5483, 531, 6334, 4398, 568, 236800, 236812, 236761, 236778, 37507, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 34637, 26844, 3671, 532, 75094, 30464, 519, 236789, 236751, 20673, 573, 506, 124046, 236772, 29661, 32217, 76892, 236787, 108, 1018, 17056, 1493, 139135, 568, 20123, 236743, 236800, 236771, 236764, 236743, 236825, 236787, 236812, 236810, 8711, 20157, 1473, 1018, 138, 107, 236772, 5213, 35922, 1257, 53121, 124046, 57188, 15554, 236770, 236825, 236810, 531, 753, 236770, 236832, 236810, 236768, 9785, 15703, 138, 107, 236772, 5213, 97813, 53121, 124046, 753, 236812, 236761, 236810, 531, 753, 236825, 236761, 236771, 568, 236810, 236772, 236825, 1523, 36792, 236768, 138, 107, 236772, 5213, 132100, 53121, 7178, 236786, 14713, 236743, 236778, 236778, 236800, 236772, 236778, 236778, 236832, 3298, 138, 107, 236829, 10282, 149681, 669, 51381, 659, 11985, 900, 236770, 236812, 236771, 531, 900, 236770, 236810, 236810, 158080, 3273, 236764, 22169, 11049, 4671, 6750, 2036, 4664, 506, 124046, 236789, 2033, 236772, 34796, 7821, 9785, 15174, 1156, 2307, 5484, 236761, 108, 1018, 30588, 8875, 30464, 519, 236789, 236751, 236743, 236778, 236771, 236778, 236800, 20273, 61922, 568, 35746, 8523, 1473, 1018, 138, 107, 236772, 5213, 236776, 42511, 53121, 236743, 236770, 236828, 236761, 236810, 149958, 236764, 236743, 236832, 236761, 236810, 69941, 236764, 236743, 236778, 236761, 236800, 9943, 236823, 138, 107, 236772, 5213, 171917, 53121, 236743, 236812, 236832, 236761, 236810, 236908, 58000, 236764, 236743, 236800, 236810, 236761, 236778, 236908, 236743, 236800, 7847, 568, 99313, 236772, 11480, 236768, 138, 107, 236772, 5213, 47619, 15268, 53121, 138, 107, 138, 236772, 4905, 236743, 236778, 236828, 7728, 139182, 236787, 236743, 236770, 236810, 75496, 236764, 236743, 236825, 4769, 236799, 568, 141007, 607, 21980, 798, 5038, 236768, 138, 107, 138, 236772, 4905, 236743, 236778, 236810, 7728, 54211, 236787, 10973, 1719, 568, 210994, 5433, 236768, 138, 107, 138, 236772, 808, 8410, 524, 4981, 573, 4905, 236743, 236800, 236771, 149681, 5641, 568, 25541, 9938, 2072, 236768, 108, 1018, 3503, 98964, 53121, 138, 107, 8409, 30464, 519, 563, 496, 9958, 3972, 236772, 7902, 7492, 236764, 914, 12312, 568, 624, 10798, 15383, 511, 236789, 9938, 236768, 7412, 531, 577, 131050, 1131, 506, 9150, 12019, 7028, 236761, 669, 51381, 236789, 4803, 34328, 2342, 1903, 236772, 43289, 7974, 15554, 236810, 236761, 236810, 114393, 528, 1774, 236743, 236770, 236771, 4284, 4972, 236768, 2473, 8082, 3217, 506, 124046, 4595, 36792, 9785, 506, 15703, 236761, 108, 38786, 611, 1133, 786, 531, 2426, 3892, 6317, 12496, 653, 10769, 1239, 26844, 607, 11858, 124046, 236772, 29661, 32217, 184820, 236881, 236743, 248207, 249772, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 12498, 236772, 24333, 236764, 564, 1202, 506, 124046, 236789, 10368, 573, 506, 2148, 1156, 5695, 236761, 564, 236789, 236757, 22293, 496, 2290, 3446, 532, 1461, 531, 1386, 2889, 564, 1537, 236789, 236745, 4305, 910, 184820, 236761, 6890, 506, 974, 236779, 14992, 236779, 41413, 5904, 607, 2434, 194743, 1076, 531, 13476, 236855, 236761, 3792, 786, 1281, 506, 14069, 236764, 31445, 236764, 532, 6508, 236772, 2865, 2782, 236761, 564, 236789, 859, 4516, 1202, 919, 4889, 580, 3530, 4972, 3209, 236764, 840, 1502, 607, 600, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14992, 1083, 623, 4199, 3773, 124046, 827, 623, 14992, 194743, 1083, 623, 23551, 236855, 827, 623, 19458, 1083, 623, 236778, 236771, 236778, 236800, 827, 623, 41413, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 827, 623, 157638, 1083, 623, 67784, 112585, 827, 623, 18320, 236779, 2865, 1083, 623, 236770, 236819, 236787, 236771, 236771, 20157, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236828, 827, 623, 157638, 1083, 623, 120365, 27213, 827, 623, 18320, 236779, 2865, 1083, 623, 236778, 236771, 236787, 236800, 236771, 20157, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 827, 623, 157638, 1083, 623, 48496, 3245, 51381, 827, 623, 18320, 236779, 2865, 1083, 623, 236778, 236778, 236787, 236771, 236771, 20157, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236778, 827, 623, 157638, 1083, 623, 104561, 236743, 236832, 236825, 616, 827, 623, 18320, 236779, 2865, 1083, 623, 236770, 236819, 236787, 236800, 236771, 20157, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236812, 827, 623, 157638, 1083, 623, 87866, 127743, 827, 623, 18320, 236779, 2865, 1083, 623, 236778, 236771, 236787, 236771, 236771, 20157, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1799, 3773, 124046, 236789, 10368, 573, 506, 2148, 1156, 5695, 236787, 108, 1018, 170886, 15268, 53121, 107, 236770, 236761, 5213, 36817, 236743, 236778, 236810, 1018, 7728, 14850, 112585, 753, 236743, 236770, 236819, 236787, 236771, 236771, 20157, 138, 107, 236778, 236761, 5213, 36817, 236743, 236778, 236828, 1018, 7728, 22403, 27213, 753, 236743, 236778, 236771, 236787, 236800, 236771, 20157, 138, 107, 236800, 236761, 5213, 36817, 236743, 236800, 236771, 1018, 7728, 16522, 3245, 51381, 753, 236743, 236778, 236778, 236787, 236771, 236771, 20157, 138, 107, 236812, 236761, 5213, 36956, 236743, 236778, 1018, 7728, 19662, 236743, 236832, 236825, 616, 753, 236743, 236770, 236819, 236787, 236800, 236771, 20157, 138, 107, 236810, 236761, 5213, 36956, 236743, 236812, 1018, 7728, 20422, 127743, 753, 236743, 236778, 236771, 236787, 236771, 236771, 20157, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 4889, 1133, 6115, 12606, 236764, 2290, 11024, 236764, 653, 1759, 236772, 2289, 12496, 573, 1027, 3530, 76892, 236888, 236743, 248207, 106, 107, 105, 2364, 107, 12879, 573, 506, 10368, 236888, 564, 236789, 236757, 6412, 7467, 528, 506, 6198, 236743, 236800, 236771, 2290, 2342, 506, 51381, 236761, 3199, 611, 1161, 974, 236779, 28122, 236779, 5567, 236779, 23245, 607, 506, 2290, 31744, 573, 600, 76892, 236881, 564, 1461, 531, 1281, 506, 29451, 4563, 532, 974, 496, 5113, 529, 506, 2290, 236789, 236751, 21238, 6998, 1164, 506, 6508, 236772, 2865, 236761, 6542, 236764, 2426, 768, 993, 236789, 236751, 1027, 9938, 12496, 573, 506, 124046, 36691, 2101, 600, 3433, 1699, 974, 236779, 236749, 3604, 236779, 210994, 236779, 2234, 236779, 18308, 753, 564, 6827, 10798, 15383, 511, 815, 1010, 129918, 33208, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14968, 236779, 14992, 1083, 623, 48496, 3245, 51381, 827, 623, 8147, 236779, 14992, 1083, 623, 4199, 3773, 124046, 827, 623, 5567, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 827, 623, 3041, 236779, 2289, 236779, 536, 1083, 623, 236770, 236819, 236787, 236800, 236771, 20157, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 210994, 236779, 53247, 1083, 78493, 5000, 1083, 623, 83621, 2786, 10798, 15383, 511, 827, 623, 14992, 1083, 623, 4199, 3773, 124046, 827, 623, 210994, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236810, 827, 623, 210994, 236779, 2084, 1083, 623, 7225, 40900, 892, 1256, 827, 623, 4818, 1083, 623, 3949, 573, 236743, 236800, 4972, 827, 623, 2060, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236770, 236771, 236770, 23179, 3714, 5000, 1083, 623, 30588, 8875, 30464, 519, 827, 623, 14992, 1083, 623, 4199, 3773, 124046, 827, 623, 210994, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236828, 827, 623, 210994, 236779, 2084, 1083, 623, 9057, 21980, 798, 5038, 827, 623, 4818, 1083, 623, 14977, 742, 573, 236743, 236778, 4972, 827, 623, 2060, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236770, 236771, 236800, 25938, 1604, 623, 2289, 6516, 236779, 158365, 3059, 1083, 3714, 3041, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236800, 827, 623, 643, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236771, 236800, 236771, 23179, 623, 14992, 236779, 7212, 1083, 623, 35746, 8523, 827, 623, 1516, 236779, 6265, 236779, 14210, 1083, 623, 76796, 15297, 753, 11858, 10634, 1149, 9729, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 9813, 1938, 573, 506, 6198, 236743, 236800, 236771, 124046, 7728, 51381, 2290, 532, 9938, 12496, 236787, 108, 1018, 8802, 20303, 53121, 138, 107, 236772, 5213, 141852, 53121, 32885, 18338, 19871, 568, 23551, 236855, 2033, 2290, 236768, 138, 107, 236772, 5213, 6302, 7578, 53121, 236743, 236770, 236819, 236787, 236800, 236771, 20157, 568, 236832, 236787, 236800, 236771, 8711, 17792, 7578, 236768, 138, 107, 236772, 5213, 8802, 5853, 53121, 236743, 236778, 236771, 236778, 236800, 236770, 236771, 236800, 236771, 236779, 15683, 236824, 236940, 23551, 236855, 138, 108, 1018, 35746, 8523, 78106, 47203, 568, 20123, 236743, 236778, 236800, 236772, 236800, 236771, 99299, 1473, 1018, 138, 107, 236770, 236761, 5213, 83621, 2786, 10798, 15383, 511, 1018, 568, 236780, 236768, 138, 107, 139, 236772, 5213, 184904, 53121, 12488, 40900, 892, 1256, 568, 20123, 236743, 236778, 236810, 236768, 138, 107, 139, 236772, 5213, 6717, 53121, 5641, 573, 236743, 236800, 4972, 568, 15072, 8934, 236743, 236770, 236768, 138, 107, 139, 236772, 5213, 66207, 53121, 4291, 4305, 506, 51381, 2290, 138, 108, 236778, 236761, 5213, 30588, 8875, 30464, 519, 1018, 568, 30844, 236768, 138, 107, 139, 236772, 5213, 184904, 53121, 28612, 21980, 798, 5038, 568, 20123, 236743, 236778, 236828, 236768, 138, 107, 139, 236772, 5213, 6717, 53121, 19566, 742, 573, 236743, 236778, 4972, 568, 15072, 8934, 236743, 236800, 236768, 138, 107, 139, 236772, 5213, 66207, 53121, 169931, 531, 4305, 506, 51381, 2290, 138, 108, 38786, 611, 1133, 786, 531, 2426, 34637, 26844, 653, 4155, 3736, 20673, 573, 672, 76892, 2148, 236881, 236743, 248207, 195096, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 2426, 506, 34637, 26844, 573, 506, 51381, 2290, 1699, 974, 236779, 236749, 3604, 236779, 8245, 1493, 236779, 79692, 607, 2290, 547, 236743, 236778, 236771, 236778, 236800, 236770, 236771, 236800, 236771, 236779, 15683, 236824, 236940, 23551, 236855, 236761, 564, 1461, 531, 1460, 1217, 506, 9938, 12496, 4208, 506, 4463, 753, 15174, 10798, 15383, 511, 532, 30464, 519, 4516, 3590, 775, 1208, 85520, 236761, 6542, 236764, 1161, 974, 236779, 236749, 3604, 236779, 35365, 236779, 624, 236779, 23251, 236779, 1708, 236779, 236746, 236779, 18999, 236779, 5000, 531, 8091, 75094, 30464, 519, 236789, 236751, 3409, 20673, 834, 564, 740, 1460, 1144, 692, 236789, 500, 9724, 528, 672, 76892, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 236782, 107, 138, 236775, 70733, 17133, 1083, 870, 107, 140, 236782, 107, 142, 236775, 1201, 1083, 623, 80262, 141710, 827, 107, 142, 236775, 34899, 1257, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236770, 236832, 236771, 236764, 107, 144, 236775, 14968, 1083, 900, 236770, 236810, 236771, 107, 142, 1263, 107, 142, 236775, 47706, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236810, 236761, 236810, 236764, 107, 144, 236775, 14968, 1083, 900, 236810, 236761, 236810, 107, 142, 1263, 107, 142, 236775, 77371, 1083, 236743, 236778, 236778, 236810, 236761, 236810, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 1201, 1083, 623, 17056, 236792, 24464, 827, 107, 142, 236775, 34899, 1257, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236770, 236825, 236810, 236764, 107, 144, 236775, 14968, 1083, 900, 236770, 236812, 236810, 107, 142, 1263, 107, 142, 236775, 47706, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236810, 236761, 236771, 236764, 107, 144, 236775, 14968, 1083, 900, 236810, 236761, 236771, 107, 142, 1263, 107, 142, 236775, 77371, 1083, 236743, 236778, 236778, 236812, 236761, 236810, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 1201, 1083, 623, 17832, 37995, 236789, 236751, 827, 107, 142, 236775, 34899, 1257, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236770, 236832, 236810, 236764, 107, 144, 236775, 14968, 1083, 900, 236770, 236810, 236810, 107, 142, 1263, 107, 142, 236775, 47706, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236825, 236761, 236771, 236764, 107, 144, 236775, 14968, 1083, 900, 236825, 236761, 236771, 107, 142, 1263, 107, 142, 236775, 77371, 1083, 236743, 236778, 236778, 236832, 236761, 236771, 107, 140, 1263, 107, 140, 236782, 107, 142, 236775, 1201, 1083, 623, 19622, 17056, 827, 107, 142, 236775, 34899, 1257, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236770, 236825, 236771, 236764, 107, 144, 236775, 14968, 1083, 900, 236770, 236812, 236771, 107, 142, 1263, 107, 142, 236775, 47706, 1083, 642, 107, 144, 236775, 8147, 1083, 753, 236812, 236761, 236810, 236764, 107, 144, 236775, 14968, 1083, 900, 236812, 236761, 236810, 107, 142, 1263, 107, 142, 236775, 77371, 1083, 236743, 236778, 236778, 236800, 236761, 236771, 107, 140, 236783, 107, 138, 1604, 107, 138, 236775, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236800, 236771, 236774, 236770, 236828, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 236775, 107, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 5000, 236779, 3906, 1083, 3714, 5000, 236779, 547, 1083, 623, 236778, 236771, 236800, 236819, 236812, 236812, 827, 623, 1201, 1083, 623, 30588, 8875, 30464, 519, 827, 623, 14992, 1083, 623, 48496, 3245, 51381, 827, 623, 3473, 1083, 623, 54659, 23179, 623, 19458, 1083, 623, 236778, 236771, 236778, 236800, 827, 623, 35365, 236779, 61101, 1083, 236743, 236825, 236771, 236764, 623, 19458, 236779, 20229, 1283, 1083, 3714, 11116, 236779, 721, 236779, 5567, 1083, 236743, 236770, 236828, 236761, 236810, 236764, 623, 16504, 3575, 236779, 721, 236779, 5567, 1083, 236743, 236832, 236761, 236810, 236764, 623, 702, 1954, 236779, 721, 236779, 5567, 1083, 236743, 236778, 236761, 236800, 236764, 623, 3593, 236779, 29538, 236779, 45118, 1083, 236743, 236771, 236761, 236812, 236832, 236810, 236764, 623, 19891, 236779, 3947, 236779, 45118, 1083, 236743, 236771, 236761, 236800, 236810, 236778, 236764, 623, 38466, 236779, 721, 236779, 5567, 1083, 236743, 236800, 236778, 236761, 236812, 1263, 623, 43852, 236779, 35365, 1083, 78493, 5567, 236779, 547, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236771, 236800, 236771, 236779, 15683, 236824, 236940, 23551, 236855, 827, 623, 11116, 1083, 236743, 236778, 236778, 236764, 623, 16504, 3575, 1083, 236743, 236819, 236764, 623, 702, 1954, 1083, 236743, 236800, 236764, 623, 4818, 1083, 623, 141007, 23179, 3714, 5567, 236779, 547, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236828, 236779, 15683, 236824, 236940, 213900, 827, 623, 11116, 1083, 236743, 236770, 236810, 236764, 623, 16504, 3575, 1083, 236743, 236825, 236764, 623, 702, 1954, 1083, 236743, 236770, 236764, 623, 4818, 1083, 623, 141007, 23179, 3714, 5567, 236779, 547, 1083, 623, 236778, 236771, 236778, 236800, 236770, 236771, 236778, 236810, 236779, 15683, 236824, 236940, 56606, 827, 623, 11116, 1083, 236743, 236770, 236771, 236764, 623, 16504, 3575, 1083, 236743, 236812, 236764, 623, 702, 1954, 1083, 236743, 236778, 236764, 623, 4818, 1083, 623, 15562, 3790, 9274, 827, 623, 210994, 236779, 14210, 1083, 623, 14151, 25938, 1604, 623, 32677, 236779, 23184, 1083, 623, 223207, 3972, 236772, 7902, 46478, 607, 9806, 1806, 236772, 3947, 9286, 568, 236800, 236810, 236761, 236778, 11376, 5483, 531, 6334, 4398, 568, 236800, 236812, 236761, 236778, 37507, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 34637, 26844, 3671, 532, 75094, 30464, 519, 236789, 236751, 20673, 573, 506, 124046, 236772, 29661, 32217, 76892, 236787, 108, 1018, 17056, 1493, 139135, 568, 20123, 236743, 236800, 236771, 236764, 236743, 236825, 236787, 236812, 236810, 8711, 20157, 1473, 1018, 138, 107, 236772, 5213, 35922, 1257, 53121, 124046, 57188, 15554, 236770, 236825, 236810, 531, 753, 236770, 236832, 236810, 236768, 9785, 15703, 138, 107, 236772, 5213, 97813, 53121, 124046, 753, 236812, 236761, 236810, 531, 753, 236825, 236761, 236771, 568, 236810, 236772, 236825, 1523, 36792, 236768, 138, 107, 236772, 5213, 132100, 53121, 7178, 236786, 14713, 236743, 236778, 236778, 236800, 236772, 236778, 236778, 236832, 3298, 138, 107, 236829, 10282, 149681, 669, 51381, 659, 11985, 900, 236770, 236812, 236771, 531, 900, 236770, 236810, 236810, 158080, 3273, 236764, 22169, 11049, 4671, 6750, 2036, 4664, 506, 124046, 236789, 2033, 236772, 34796, 7821, 9785, 15174, 1156, 2307, 5484, 236761, 108, 1018, 30588, 8875, 30464, 519, 236789, 236751, 236743, 236778, 236771, 236778, 236800, 20273, 61922, 568, 35746, 8523, 1473, 1018, 138, 107, 236772, 5213, 236776, 42511, 53121, 236743, 236770, 236828, 236761, 236810, 149958, 236764, 236743, 236832, 236761, 236810, 69941, 236764, 236743, 236778, 236761, 236800, 9943, 236823, 138, 107, 236772, 5213, 171917, 53121, 236743, 236812, 236832, 236761, 236810, 236908, 58000, 236764, 236743, 236800, 236810, 236761, 236778, 236908, 236743, 236800, 7847, 568, 99313, 236772, 11480, 236768, 138, 107, 236772, 5213, 47619, 15268, 53121, 138, 107, 138, 236772, 4905, 236743, 236778, 236828, 7728, 139182, 236787, 236743, 236770, 236810, 75496, 236764, 236743, 236825, 4769, 236799, 568, 141007, 607, 21980, 798, 5038, 236768, 138, 107, 138, 236772, 4905, 236743, 236778, 236810, 7728, 54211, 236787, 10973, 1719, 568, 210994, 5433, 236768, 138, 107, 138, 236772, 808, 8410, 524, 4981, 573, 4905, 236743, 236800, 236771, 149681, 5641, 568, 25541, 9938, 2072, 236768, 108, 1018, 3503, 98964, 53121, 138, 107, 8409, 30464, 519, 563, 496, 9958, 3972, 236772, 7902, 7492, 236764, 914, 12312, 568, 624, 10798, 15383, 511, 236789, 9938, 236768, 7412, 531, 577, 131050, 1131, 506, 9150, 12019, 7028, 236761, 669, 51381, 236789, 4803, 34328, 2342, 1903, 236772, 43289, 7974, 15554, 236810, 236761, 236810, 114393, 528, 1774, 236743, 236770, 236771, 4284, 4972, 236768, 2473, 8082, 3217, 506, 124046, 4595, 36792, 9785, 506, 15703, 236761, 108, 38786, 611, 1133, 786, 531, 2426, 3892, 6317, 12496, 653, 10769, 1239, 26844, 607, 11858, 124046, 236772, 29661, 32217, 184820, 236881, 236743, 248207, 249772, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 22260, 1217, 36963, 15067, 2473, 4208, 10002, 7548, 3835, 573, 1944, 8634, 1133, 10701, 236761, 5315, 236764, 2426, 39936, 104843, 573, 4803, 10308, 580, 25338, 22109, 528, 10002, 13192, 236761, 1637, 1724, 10308, 4928, 17286, 8991, 236764, 2148, 974, 506, 6524, 12606, 699, 669, 16110, 236761, 1637, 5052, 10928, 659, 24724, 236764, 1299, 2426, 2372, 724, 50814, 716, 573, 8330, 13682, 236761, 564, 1461, 531, 3050, 3435, 7760, 532, 103298, 573, 37803, 25338, 13192, 528, 1041, 4762, 236761, 3792, 786, 1281, 1144, 611, 1586, 657, 1546, 2918, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 1083, 78493, 3250, 1083, 623, 24497, 93697, 169131, 51959, 64848, 124148, 66399, 32314, 62986, 827, 623, 6011, 1083, 623, 44603, 104843, 7248, 580, 496, 19902, 528, 1944, 30686, 44173, 24242, 532, 10385, 47486, 573, 16788, 236764, 47003, 3718, 12412, 532, 4071, 236772, 12148, 36453, 236761, 69262, 12582, 529, 43866, 13682, 840, 8357, 6730, 12308, 1894, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236778, 827, 623, 2451, 1083, 623, 2574, 1411, 1364, 724, 38075, 236761, 8358, 236786, 153558, 236772, 55595, 236772, 96533, 23179, 3714, 3250, 1083, 623, 190705, 25393, 53712, 32115, 51959, 35032, 123747, 827, 623, 6011, 1083, 623, 35434, 21577, 39119, 1883, 236772, 5909, 12159, 528, 506, 749, 236761, 236773, 236761, 7107, 14143, 80991, 573, 48197, 1699, 25338, 7548, 44505, 236761, 70884, 7933, 44362, 1451, 163296, 6035, 684, 5226, 236743, 236778, 236771, 236778, 236810, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236828, 827, 623, 2451, 1083, 623, 2574, 1411, 1364, 724, 38075, 236761, 8358, 236786, 55595, 236772, 53507, 236772, 173051, 23179, 3714, 3250, 1083, 623, 4199, 12096, 184790, 83652, 531, 53710, 43499, 51959, 51850, 827, 623, 6011, 1083, 623, 44603, 104843, 13526, 20222, 27173, 236772, 527, 236772, 236746, 236772, 8114, 5434, 5402, 573, 1944, 8634, 236764, 18482, 5074, 236772, 32024, 31324, 532, 1759, 236772, 2289, 15797, 12692, 531, 3421, 5052, 10928, 528, 25338, 13192, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 827, 623, 2451, 1083, 623, 2574, 1411, 1364, 724, 38075, 236761, 8358, 236786, 55595, 236772, 11205, 236772, 95526, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 1083, 78493, 3250, 1083, 623, 190705, 196658, 1074, 31641, 51959, 35032, 121775, 528, 2590, 43499, 47026, 827, 623, 6011, 1083, 623, 818, 16110, 7248, 600, 236743, 236825, 236778, 236908, 529, 54117, 48197, 47669, 31410, 25338, 12159, 618, 910, 5905, 20825, 531, 22109, 236764, 9785, 6730, 11713, 5056, 573, 25338, 7548, 3835, 10498, 623, 2451, 1083, 623, 2574, 1411, 1437, 5088, 236761, 1364, 236786, 3274, 236786, 236770, 236778, 236800, 236812, 236810, 236786, 55595, 236772, 53507, 236772, 153558, 236772, 119141, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 19120, 161601, 53474, 618, 51959, 35032, 26010, 2107, 84567, 827, 623, 6011, 1083, 623, 4199, 3671, 3831, 496, 236743, 236812, 236771, 236908, 3553, 528, 112625, 13120, 28307, 25338, 7548, 44505, 236764, 607, 1944, 8634, 8385, 618, 6412, 21040, 2779, 531, 5809, 68183, 5405, 10498, 623, 2451, 1083, 623, 2574, 1411, 1437, 5088, 236761, 1364, 236786, 3274, 236786, 236825, 236832, 236828, 236819, 236771, 236786, 55595, 236772, 24471, 236772, 11205, 236772, 4499, 2357, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 23179, 3714, 3250, 1083, 623, 130820, 22230, 607, 51959, 151804, 531, 40440, 84989, 11894, 71327, 10981, 827, 623, 6011, 1083, 623, 818, 16110, 236789, 236751, 14417, 21577, 4889, 529, 39544, 236789, 236751, 861, 603, 236778, 236799, 236772, 41889, 10385, 11894, 19960, 1458, 236764, 837, 1451, 6439, 4071, 236772, 12148, 12562, 5384, 573, 1944, 30686, 684, 872, 531, 236743, 236832, 236771, 9525, 827, 623, 2451, 1083, 623, 2574, 1411, 1437, 5088, 236761, 1364, 236786, 3274, 236786, 236810, 236812, 236800, 236778, 236770, 236786, 110894, 236772, 24137, 11894, 236772, 10637, 1487, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236800, 25938, 1604, 623, 4874, 236779, 2064, 1083, 623, 6845, 2372, 724, 50814, 716, 573, 8330, 13682, 4596, 531, 25338, 7548, 5052, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 35153, 21705, 130550, 8027, 528, 43499, 51959, 64848, 827, 623, 6011, 1083, 623, 35434, 529, 4803, 5052, 60010, 13207, 528, 4913, 25338, 7548, 14175, 1456, 684, 1944, 8634, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 102093, 51581, 183695, 531, 51959, 27239, 12096, 827, 623, 6011, 1083, 623, 162117, 3435, 3402, 13682, 531, 172016, 17927, 1456, 528, 10002, 7548, 3797, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 31044, 3671, 2721, 580, 822, 5074, 236772, 9340, 2864, 236787, 108, 1018, 236770, 236761, 39936, 104843, 99652, 568, 85884, 121775, 48993, 1473, 1018, 107, 236772, 5213, 232944, 53121, 16647, 8634, 659, 44173, 24242, 236786, 24137, 47486, 573, 3718, 12412, 532, 4071, 236772, 12148, 2802, 568, 30651, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 769, 107, 236772, 5213, 190705, 32115, 53121, 749, 236761, 236773, 236761, 1883, 236772, 5909, 17286, 114461, 2619, 14143, 80991, 568, 30651, 236743, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 769, 107, 236772, 5213, 19120, 23130, 53121, 1799, 27173, 236772, 527, 236772, 236746, 236772, 8114, 6436, 607, 5074, 236772, 29694, 31324, 659, 20222, 568, 30651, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 769, 108, 1018, 236778, 236761, 669, 16110, 85406, 568, 190705, 833, 12096, 43163, 1473, 1018, 107, 236772, 5213, 3503, 100335, 53121, 236743, 236825, 236778, 236908, 529, 48197, 47669, 31410, 12159, 618, 22109, 31078, 568, 27393, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 769, 107, 236772, 5213, 19120, 67296, 53121, 236743, 236812, 236771, 236908, 8570, 528, 112625, 13120, 28307, 25338, 7548, 44505, 568, 27393, 236743, 236770, 236812, 236764, 236743, 236778, 236771, 236778, 236810, 769, 107, 236772, 5213, 140687, 53121, 39544, 236789, 236751, 10385, 11894, 19960, 3707, 1451, 6439, 4071, 236772, 12148, 5384, 684, 236743, 236832, 236771, 236908, 568, 27393, 236743, 236770, 236800, 236764, 236743, 236778, 236771, 236778, 236810, 769, 108, 1018, 236800, 236761, 2372, 724, 50814, 716, 22202, 132163, 568, 19120, 30235, 1473, 1018, 107, 236772, 5213, 110613, 32180, 53121, 15735, 4258, 70584, 528, 4913, 7548, 14175, 568, 20123, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 769, 107, 236772, 5213, 12059, 236772, 6061, 67296, 53121, 27825, 20124, 13682, 531, 172016, 17927, 568, 20123, 236743, 236770, 236812, 236764, 236743, 236778, 236771, 236778, 236800, 769, 108, 1018, 24355, 573, 5180, 7449, 53121, 107, 236772, 5213, 100510, 53121, 26959, 12562, 5384, 236764, 4071, 236772, 12148, 36453, 236764, 532, 20222, 5052, 5434, 236761, 107, 236772, 5213, 122037, 25178, 53121, 50246, 19262, 236764, 112625, 70584, 236764, 532, 22327, 8330, 13682, 568, 14210, 236787, 2372, 724, 50814, 716, 1262, 563, 236743, 236770, 236761, 236810, 1518, 2255, 769, 107, 236772, 5213, 211199, 53121, 14066, 18336, 6607, 607, 10385, 47486, 1651, 11734, 17286, 18783, 236764, 532, 56856, 7548, 14175, 607, 18315, 236772, 9619, 5052, 4065, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22260, 1217, 36963, 15067, 2473, 4208, 10002, 7548, 3835, 573, 1944, 8634, 1133, 10701, 236761, 5315, 236764, 2426, 39936, 104843, 573, 4803, 10308, 580, 25338, 22109, 528, 10002, 13192, 236761, 1637, 1724, 10308, 4928, 17286, 8991, 236764, 2148, 974, 506, 6524, 12606, 699, 669, 16110, 236761, 1637, 5052, 10928, 659, 24724, 236764, 1299, 2426, 2372, 724, 50814, 716, 573, 8330, 13682, 236761, 564, 1461, 531, 3050, 3435, 7760, 532, 103298, 573, 37803, 25338, 13192, 528, 1041, 4762, 236761, 3792, 786, 1281, 1144, 611, 1586, 657, 1546, 2918, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 1083, 78493, 3250, 1083, 623, 24497, 93697, 169131, 51959, 64848, 124148, 66399, 32314, 62986, 827, 623, 6011, 1083, 623, 44603, 104843, 7248, 580, 496, 19902, 528, 1944, 30686, 44173, 24242, 532, 10385, 47486, 573, 16788, 236764, 47003, 3718, 12412, 532, 4071, 236772, 12148, 36453, 236761, 69262, 12582, 529, 43866, 13682, 840, 8357, 6730, 12308, 1894, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236778, 827, 623, 2451, 1083, 623, 2574, 1411, 1364, 724, 38075, 236761, 8358, 236786, 153558, 236772, 55595, 236772, 96533, 23179, 3714, 3250, 1083, 623, 190705, 25393, 53712, 32115, 51959, 35032, 123747, 827, 623, 6011, 1083, 623, 35434, 21577, 39119, 1883, 236772, 5909, 12159, 528, 506, 749, 236761, 236773, 236761, 7107, 14143, 80991, 573, 48197, 1699, 25338, 7548, 44505, 236761, 70884, 7933, 44362, 1451, 163296, 6035, 684, 5226, 236743, 236778, 236771, 236778, 236810, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236828, 827, 623, 2451, 1083, 623, 2574, 1411, 1364, 724, 38075, 236761, 8358, 236786, 55595, 236772, 53507, 236772, 173051, 23179, 3714, 3250, 1083, 623, 4199, 12096, 184790, 83652, 531, 53710, 43499, 51959, 51850, 827, 623, 6011, 1083, 623, 44603, 104843, 13526, 20222, 27173, 236772, 527, 236772, 236746, 236772, 8114, 5434, 5402, 573, 1944, 8634, 236764, 18482, 5074, 236772, 32024, 31324, 532, 1759, 236772, 2289, 15797, 12692, 531, 3421, 5052, 10928, 528, 25338, 13192, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 827, 623, 2451, 1083, 623, 2574, 1411, 1364, 724, 38075, 236761, 8358, 236786, 55595, 236772, 11205, 236772, 95526, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 1083, 78493, 3250, 1083, 623, 190705, 196658, 1074, 31641, 51959, 35032, 121775, 528, 2590, 43499, 47026, 827, 623, 6011, 1083, 623, 818, 16110, 7248, 600, 236743, 236825, 236778, 236908, 529, 54117, 48197, 47669, 31410, 25338, 12159, 618, 910, 5905, 20825, 531, 22109, 236764, 9785, 6730, 11713, 5056, 573, 25338, 7548, 3835, 10498, 623, 2451, 1083, 623, 2574, 1411, 1437, 5088, 236761, 1364, 236786, 3274, 236786, 236770, 236778, 236800, 236812, 236810, 236786, 55595, 236772, 53507, 236772, 153558, 236772, 119141, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 19120, 161601, 53474, 618, 51959, 35032, 26010, 2107, 84567, 827, 623, 6011, 1083, 623, 4199, 3671, 3831, 496, 236743, 236812, 236771, 236908, 3553, 528, 112625, 13120, 28307, 25338, 7548, 44505, 236764, 607, 1944, 8634, 8385, 618, 6412, 21040, 2779, 531, 5809, 68183, 5405, 10498, 623, 2451, 1083, 623, 2574, 1411, 1437, 5088, 236761, 1364, 236786, 3274, 236786, 236825, 236832, 236828, 236819, 236771, 236786, 55595, 236772, 24471, 236772, 11205, 236772, 4499, 2357, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236812, 23179, 3714, 3250, 1083, 623, 130820, 22230, 607, 51959, 151804, 531, 40440, 84989, 11894, 71327, 10981, 827, 623, 6011, 1083, 623, 818, 16110, 236789, 236751, 14417, 21577, 4889, 529, 39544, 236789, 236751, 861, 603, 236778, 236799, 236772, 41889, 10385, 11894, 19960, 1458, 236764, 837, 1451, 6439, 4071, 236772, 12148, 12562, 5384, 573, 1944, 30686, 684, 872, 531, 236743, 236832, 236771, 9525, 827, 623, 2451, 1083, 623, 2574, 1411, 1437, 5088, 236761, 1364, 236786, 3274, 236786, 236810, 236812, 236800, 236778, 236770, 236786, 110894, 236772, 24137, 11894, 236772, 10637, 1487, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236800, 25938, 1604, 623, 4874, 236779, 2064, 1083, 623, 6845, 2372, 724, 50814, 716, 573, 8330, 13682, 4596, 531, 25338, 7548, 5052, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 35153, 21705, 130550, 8027, 528, 43499, 51959, 64848, 827, 623, 6011, 1083, 623, 35434, 529, 4803, 5052, 60010, 13207, 528, 4913, 25338, 7548, 14175, 1456, 684, 1944, 8634, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 23179, 3714, 3250, 1083, 623, 102093, 51581, 183695, 531, 51959, 27239, 12096, 827, 623, 6011, 1083, 623, 162117, 3435, 3402, 13682, 531, 172016, 17927, 1456, 528, 10002, 7548, 3797, 10498, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 31044, 3671, 2721, 580, 822, 5074, 236772, 9340, 2864, 236787, 108, 1018, 236770, 236761, 39936, 104843, 99652, 568, 85884, 121775, 48993, 1473, 1018, 107, 236772, 5213, 232944, 53121, 16647, 8634, 659, 44173, 24242, 236786, 24137, 47486, 573, 3718, 12412, 532, 4071, 236772, 12148, 2802, 568, 30651, 236743, 236770, 236778, 236764, 236743, 236778, 236771, 236778, 236810, 769, 107, 236772, 5213, 190705, 32115, 53121, 749, 236761, 236773, 236761, 1883, 236772, 5909, 17286, 114461, 2619, 14143, 80991, 568, 30651, 236743, 236828, 236764, 236743, 236778, 236771, 236778, 236810, 769, 107, 236772, 5213, 19120, 23130, 53121, 1799, 27173, 236772, 527, 236772, 236746, 236772, 8114, 6436, 607, 5074, 236772, 29694, 31324, 659, 20222, 568, 30651, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 769, 108, 1018, 236778, 236761, 669, 16110, 85406, 568, 190705, 833, 12096, 43163, 1473, 1018, 107, 236772, 5213, 3503, 100335, 53121, 236743, 236825, 236778, 236908, 529, 48197, 47669, 31410, 12159, 618, 22109, 31078, 568, 27393, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 769, 107, 236772, 5213, 19120, 67296, 53121, 236743, 236812, 236771, 236908, 8570, 528, 112625, 13120, 28307, 25338, 7548, 44505, 568, 27393, 236743, 236770, 236812, 236764, 236743, 236778, 236771, 236778, 236810, 769, 107, 236772, 5213, 140687, 53121, 39544, 236789, 236751, 10385, 11894, 19960, 3707, 1451, 6439, 4071, 236772, 12148, 5384, 684, 236743, 236832, 236771, 236908, 568, 27393, 236743, 236770, 236800, 236764, 236743, 236778, 236771, 236778, 236810, 769, 108, 1018, 236800, 236761, 2372, 724, 50814, 716, 22202, 132163, 568, 19120, 30235, 1473, 1018, 107, 236772, 5213, 110613, 32180, 53121, 15735, 4258, 70584, 528, 4913, 7548, 14175, 568, 20123, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 769, 107, 236772, 5213, 12059, 236772, 6061, 67296, 53121, 27825, 20124, 13682, 531, 172016, 17927, 568, 20123, 236743, 236770, 236812, 236764, 236743, 236778, 236771, 236778, 236800, 769, 108, 1018, 24355, 573, 5180, 7449, 53121, 107, 236772, 5213, 100510, 53121, 26959, 12562, 5384, 236764, 4071, 236772, 12148, 36453, 236764, 532, 20222, 5052, 5434, 236761, 107, 236772, 5213, 122037, 25178, 53121, 50246, 19262, 236764, 112625, 70584, 236764, 532, 22327, 8330, 13682, 568, 14210, 236787, 2372, 724, 50814, 716, 1262, 563, 236743, 236770, 236761, 236810, 1518, 2255, 769, 107, 236772, 5213, 211199, 53121, 14066, 18336, 6607, 607, 10385, 47486, 1651, 11734, 17286, 18783, 236764, 532, 56856, 7548, 14175, 607, 18315, 236772, 9619, 5052, 4065, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2426, 506, 6524, 16537, 20673, 573, 506, 3640, 4184, 236881, 564, 236858, 236757, 6995, 496, 27893, 7946, 531, 9242, 722, 2148, 2297, 607, 1070, 4690, 699, 506, 11858, 7299, 236764, 532, 564, 1461, 531, 1386, 2889, 692, 236858, 500, 711, 9378, 1131, 496, 19902, 236761, 6542, 236764, 1651, 611, 236858, 500, 657, 625, 236764, 1451, 611, 8091, 506, 4185, 69570, 236881, 3656, 529, 506, 15036, 38991, 657, 981, 15033, 29690, 522, 1003, 4301, 14523, 236764, 532, 564, 236858, 236753, 1133, 531, 13213, 600, 1679, 607, 10797, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 87877, 1083, 236743, 236770, 236770, 236778, 236800, 236812, 236810, 236764, 623, 89132, 1083, 236743, 236832, 236828, 236819, 236771, 236764, 623, 184085, 1083, 236743, 236819, 236828, 236832, 236825, 236810, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 87877, 236779, 16353, 1083, 236743, 236832, 236771, 236800, 236812, 236778, 236828, 236770, 236810, 236771, 236764, 623, 89132, 1083, 236743, 236832, 236771, 236800, 236812, 236778, 236828, 236770, 236764, 623, 184085, 236779, 16353, 1083, 236743, 236825, 236810, 236778, 236828, 236819, 236812, 236800, 236771, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 16537, 14906, 618, 529, 6198, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236787, 108, 1018, 27211, 4184, 53121, 107, 236772, 13810, 8593, 3636, 236787, 236743, 236770, 236770, 236778, 236764, 236800, 236812, 236810, 107, 236772, 147238, 236787, 236743, 236832, 236764, 236828, 236819, 236771, 107, 236772, 121607, 524, 236787, 236743, 236819, 236828, 236764, 236832, 236825, 236810, 108, 1018, 18085, 31547, 1294, 53121, 107, 236772, 13810, 8593, 3636, 236787, 236743, 236832, 236771, 236800, 236764, 236812, 236778, 236828, 236764, 236770, 236810, 236771, 107, 236772, 147238, 236787, 236743, 236832, 236764, 236771, 236800, 236812, 236764, 236778, 236828, 236770, 107, 236772, 121607, 524, 236787, 236743, 236825, 236810, 236778, 236764, 236828, 236819, 236812, 236764, 236800, 236771, 236771, 108, 818, 749, 236761, 236773, 236761, 4945, 3196, 9150, 2708, 5483, 531, 4185, 69570, 236764, 840, 5630, 1239, 659, 38608, 9732, 236761, 1701, 822, 9242, 722, 7946, 6995, 236764, 564, 236789, 236753, 5840, 16329, 2263, 2404, 14400, 2794, 12532, 531, 822, 4301, 14069, 236764, 618, 14523, 3187, 4911, 580, 1759, 236772, 2289, 12268, 6224, 532, 30604, 12606, 236761, 669, 4185, 4945, 126226, 3217, 1551, 4808, 2036, 4883, 128579, 8073, 9785, 7005, 4009, 5700, 236761, 106, 107, 105, 2364, 107, 68755, 236764, 1451, 611, 2426, 7001, 236789, 236751, 4945, 2311, 236881, 564, 6950, 531, 600, 3184, 13372, 600, 6693, 4808, 735, 107479, 6366, 1581, 607, 3718, 1624, 18558, 236764, 840, 564, 1374, 9128, 1680, 564, 974, 219821, 1003, 756, 14645, 20987, 1929, 236789, 1570, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 87877, 1083, 236743, 236832, 236778, 236800, 236812, 236810, 236825, 236770, 236764, 623, 89132, 1083, 236743, 236770, 236810, 236828, 236778, 236800, 236812, 236764, 623, 184085, 1083, 236743, 236825, 236812, 236828, 236810, 236800, 236778, 236770, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 7001, 236789, 236751, 16537, 14906, 618, 529, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 568, 14210, 236787, 672, 3433, 7412, 66160, 753, 1262, 7021, 11082, 1186, 2072, 1343, 236743, 236778, 236771, 236778, 236800, 1473, 108, 1018, 31756, 53121, 107, 236772, 13810, 8593, 3636, 236787, 236743, 236832, 236764, 236778, 236800, 236812, 236764, 236810, 236825, 236770, 107, 236772, 147238, 236787, 236743, 236770, 236810, 236828, 236764, 236778, 236800, 236812, 107, 236772, 121607, 524, 236787, 236743, 236825, 236764, 236812, 236828, 236810, 236764, 236800, 236778, 236770, 108, 24375, 5748, 236787, 107, 236772, 5213, 3118, 1018, 815, 236743, 236770, 236770, 236778, 236764, 236800, 236812, 236810, 10778, 3636, 568, 527, 529, 4905, 236743, 236778, 236771, 236778, 236800, 236768, 107, 236772, 5213, 18085, 69570, 1018, 1407, 236743, 236832, 236771, 236800, 3625, 3636, 108, 31756, 236789, 236751, 4945, 7495, 496, 2891, 600, 9763, 3629, 3649, 11707, 840, 12845, 10346, 60379, 8073, 236761, 5978, 910, 38608, 3636, 236786, 89132, 4595, 3718, 1082, 4185, 52916, 810, 52956, 236764, 1551, 6693, 17835, 4883, 128579, 10034, 1133, 7441, 77408, 528, 28048, 73696, 653, 30604, 6035, 573, 16106, 7683, 236761, 236743, 108, 818, 5365, 236743, 236778, 236771, 236778, 236810, 3433, 580, 672, 1262, 5072, 39119, 607, 1873, 90353, 753, 1093, 611, 1133, 786, 531, 16807, 672, 1938, 699, 9302, 7021, 653, 37386, 3530, 10034, 21574, 4301, 236881, 106, 107, 105, 2364, 107, 6481, 786, 16807, 7001, 236789, 236751, 1262, 1343, 2264, 3738, 2338, 506, 5365, 236743, 236778, 236771, 236778, 236810, 3433, 5072, 1135, 236761, 28344, 611, 2426, 506, 2558, 236779, 14801, 1201, 5904, 1570, 573, 7001, 236881, 1452, 1651, 692, 236789, 500, 657, 625, 236764, 8091, 11702, 236789, 236751, 4945, 2311, 1271, 564, 5630, 910, 3649, 33151, 691, 40097, 236764, 840, 564, 10366, 236789, 236745, 7953, 872, 607, 910, 10941, 10034, 236761, 669, 13372, 9989, 15033, 12717, 872, 3879, 1133, 901, 236789, 560, 2506, 625, 784, 31572, 855, 236764, 840, 564, 1202, 12625, 4945, 531, 6651, 914, 16047, 20943, 637, 1639, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 87877, 1083, 236743, 236800, 236771, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 89132, 1083, 236743, 236800, 236771, 236810, 236771, 236771, 236771, 236764, 623, 184085, 1083, 236743, 236778, 236828, 236832, 236771, 236771, 236771, 236771, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 65859, 827, 623, 87877, 1083, 236743, 236778, 236812, 236828, 236810, 236771, 236771, 236771, 236771, 236764, 623, 89132, 1083, 236743, 236770, 236819, 236828, 236812, 236771, 236771, 236764, 623, 184085, 1083, 236743, 236778, 236800, 236825, 236771, 236771, 236771, 236771, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 10448, 14906, 568, 14210, 236787, 14069, 2036, 3196, 66160, 573, 236743, 236778, 236771, 236778, 236810, 1473, 108, 1018, 31756, 568, 30651, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 1473, 1018, 138, 107, 236772, 13810, 8593, 236787, 236743, 236800, 236771, 236764, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 147238, 236787, 236743, 236800, 236771, 236810, 236764, 236771, 236771, 236771, 138, 107, 236772, 121607, 524, 236787, 236743, 236778, 236828, 236764, 236832, 236771, 236771, 236764, 236771, 236771, 236771, 138, 108, 1018, 65859, 568, 30651, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 1473, 1018, 138, 107, 236772, 13810, 8593, 236787, 236743, 236778, 236812, 236764, 236828, 236810, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 147238, 236787, 236743, 236770, 236819, 236828, 236764, 236812, 236771, 236771, 138, 107, 236772, 121607, 524, 236787, 236743, 236778, 236800, 236764, 236825, 236771, 236771, 236764, 236771, 236771, 236771, 138, 108, 2542, 4403, 236787, 138, 107, 236772, 5213, 3118, 20673, 568, 20123, 236743, 236778, 236771, 236778, 236800, 1473, 1018, 236743, 236770, 236770, 236778, 236767, 10778, 965, 236743, 236832, 236761, 236819, 236767, 19867, 138, 107, 236772, 5213, 18085, 69570, 568, 20123, 236743, 236778, 236771, 236778, 236800, 1473, 1018, 236743, 236832, 236771, 236800, 3625, 3636, 138, 108, 10354, 9533, 12505, 236787, 138, 107, 236770, 236761, 5213, 2100, 97592, 53121, 3143, 4945, 7495, 808, 147147, 236829, 69570, 236764, 711, 1873, 81152, 236761, 669, 236743, 236778, 236771, 236778, 236810, 14069, 4547, 2754, 1262, 3738, 9825, 568, 3374, 1237, 2404, 13253, 12280, 5158, 13761, 684, 5453, 236772, 236778, 236771, 236778, 236800, 769, 138, 107, 236778, 236761, 5213, 26179, 236789, 236751, 33744, 53121, 11702, 236789, 236751, 3649, 236743, 236778, 236771, 236778, 236771, 19902, 568, 6005, 10063, 6693, 184134, 236768, 3831, 528, 910, 41063, 1494, 4355, 3136, 75720, 236771, 236761, 236828, 236908, 529, 10778, 3636, 779, 1651, 7001, 236789, 236751, 6268, 5499, 88435, 607, 3715, 2558, 3636, 236761, 138, 107, 236800, 236761, 5213, 20884, 4403, 53121, 8732, 6693, 4808, 29465, 531, 623, 54301, 607, 506, 10625, 236775, 44362, 684, 236743, 236778, 236771, 236778, 236778, 236764, 19541, 580, 30604, 236786, 40475, 616, 4319, 1082, 101847, 236761, 21284, 611, 1133, 786, 531, 37386, 3530, 10941, 10034, 573, 7001, 236786, 65859, 653, 10769, 1091, 531, 2590, 12668, 236881, 138, 108, 818, 1262, 12205, 3879, 236789, 236751, 107479, 3649, 8073, 3782, 236789, 236745, 5001, 2455, 81152, 840, 1149, 735, 59065, 6634, 66342, 236761, 14040, 4301, 14523, 27768, 659, 919, 19240, 531, 30604, 4981, 1082, 10445, 1624, 18558, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 2426, 506, 6524, 16537, 20673, 573, 506, 3640, 4184, 236881, 564, 236858, 236757, 6995, 496, 27893, 7946, 531, 9242, 722, 2148, 2297, 607, 1070, 4690, 699, 506, 11858, 7299, 236764, 532, 564, 1461, 531, 1386, 2889, 692, 236858, 500, 711, 9378, 1131, 496, 19902, 236761, 6542, 236764, 1651, 611, 236858, 500, 657, 625, 236764, 1451, 611, 8091, 506, 4185, 69570, 236881, 3656, 529, 506, 15036, 38991, 657, 981, 15033, 29690, 522, 1003, 4301, 14523, 236764, 532, 564, 236858, 236753, 1133, 531, 13213, 600, 1679, 607, 10797, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 87877, 1083, 236743, 236770, 236770, 236778, 236800, 236812, 236810, 236764, 623, 89132, 1083, 236743, 236832, 236828, 236819, 236771, 236764, 623, 184085, 1083, 236743, 236819, 236828, 236832, 236825, 236810, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 87877, 236779, 16353, 1083, 236743, 236832, 236771, 236800, 236812, 236778, 236828, 236770, 236810, 236771, 236764, 623, 89132, 1083, 236743, 236832, 236771, 236800, 236812, 236778, 236828, 236770, 236764, 623, 184085, 236779, 16353, 1083, 236743, 236825, 236810, 236778, 236828, 236819, 236812, 236800, 236771, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 16537, 14906, 618, 529, 6198, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236787, 108, 1018, 27211, 4184, 53121, 107, 236772, 13810, 8593, 3636, 236787, 236743, 236770, 236770, 236778, 236764, 236800, 236812, 236810, 107, 236772, 147238, 236787, 236743, 236832, 236764, 236828, 236819, 236771, 107, 236772, 121607, 524, 236787, 236743, 236819, 236828, 236764, 236832, 236825, 236810, 108, 1018, 18085, 31547, 1294, 53121, 107, 236772, 13810, 8593, 3636, 236787, 236743, 236832, 236771, 236800, 236764, 236812, 236778, 236828, 236764, 236770, 236810, 236771, 107, 236772, 147238, 236787, 236743, 236832, 236764, 236771, 236800, 236812, 236764, 236778, 236828, 236770, 107, 236772, 121607, 524, 236787, 236743, 236825, 236810, 236778, 236764, 236828, 236819, 236812, 236764, 236800, 236771, 236771, 108, 818, 749, 236761, 236773, 236761, 4945, 3196, 9150, 2708, 5483, 531, 4185, 69570, 236764, 840, 5630, 1239, 659, 38608, 9732, 236761, 1701, 822, 9242, 722, 7946, 6995, 236764, 564, 236789, 236753, 5840, 16329, 2263, 2404, 14400, 2794, 12532, 531, 822, 4301, 14069, 236764, 618, 14523, 3187, 4911, 580, 1759, 236772, 2289, 12268, 6224, 532, 30604, 12606, 236761, 669, 4185, 4945, 126226, 3217, 1551, 4808, 2036, 4883, 128579, 8073, 9785, 7005, 4009, 5700, 236761, 106, 107, 105, 2364, 107, 68755, 236764, 1451, 611, 2426, 7001, 236789, 236751, 4945, 2311, 236881, 564, 6950, 531, 600, 3184, 13372, 600, 6693, 4808, 735, 107479, 6366, 1581, 607, 3718, 1624, 18558, 236764, 840, 564, 1374, 9128, 1680, 564, 974, 219821, 1003, 756, 14645, 20987, 1929, 236789, 1570, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 87877, 1083, 236743, 236832, 236778, 236800, 236812, 236810, 236825, 236770, 236764, 623, 89132, 1083, 236743, 236770, 236810, 236828, 236778, 236800, 236812, 236764, 623, 184085, 1083, 236743, 236825, 236812, 236828, 236810, 236800, 236778, 236770, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 7001, 236789, 236751, 16537, 14906, 618, 529, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 568, 14210, 236787, 672, 3433, 7412, 66160, 753, 1262, 7021, 11082, 1186, 2072, 1343, 236743, 236778, 236771, 236778, 236800, 1473, 108, 1018, 31756, 53121, 107, 236772, 13810, 8593, 3636, 236787, 236743, 236832, 236764, 236778, 236800, 236812, 236764, 236810, 236825, 236770, 107, 236772, 147238, 236787, 236743, 236770, 236810, 236828, 236764, 236778, 236800, 236812, 107, 236772, 121607, 524, 236787, 236743, 236825, 236764, 236812, 236828, 236810, 236764, 236800, 236778, 236770, 108, 24375, 5748, 236787, 107, 236772, 5213, 3118, 1018, 815, 236743, 236770, 236770, 236778, 236764, 236800, 236812, 236810, 10778, 3636, 568, 527, 529, 4905, 236743, 236778, 236771, 236778, 236800, 236768, 107, 236772, 5213, 18085, 69570, 1018, 1407, 236743, 236832, 236771, 236800, 3625, 3636, 108, 31756, 236789, 236751, 4945, 7495, 496, 2891, 600, 9763, 3629, 3649, 11707, 840, 12845, 10346, 60379, 8073, 236761, 5978, 910, 38608, 3636, 236786, 89132, 4595, 3718, 1082, 4185, 52916, 810, 52956, 236764, 1551, 6693, 17835, 4883, 128579, 10034, 1133, 7441, 77408, 528, 28048, 73696, 653, 30604, 6035, 573, 16106, 7683, 236761, 236743, 108, 818, 5365, 236743, 236778, 236771, 236778, 236810, 3433, 580, 672, 1262, 5072, 39119, 607, 1873, 90353, 753, 1093, 611, 1133, 786, 531, 16807, 672, 1938, 699, 9302, 7021, 653, 37386, 3530, 10034, 21574, 4301, 236881, 106, 107, 105, 2364, 107, 6481, 786, 16807, 7001, 236789, 236751, 1262, 1343, 2264, 3738, 2338, 506, 5365, 236743, 236778, 236771, 236778, 236810, 3433, 5072, 1135, 236761, 28344, 611, 2426, 506, 2558, 236779, 14801, 1201, 5904, 1570, 573, 7001, 236881, 1452, 1651, 692, 236789, 500, 657, 625, 236764, 8091, 11702, 236789, 236751, 4945, 2311, 1271, 564, 5630, 910, 3649, 33151, 691, 40097, 236764, 840, 564, 10366, 236789, 236745, 7953, 872, 607, 910, 10941, 10034, 236761, 669, 13372, 9989, 15033, 12717, 872, 3879, 1133, 901, 236789, 560, 2506, 625, 784, 31572, 855, 236764, 840, 564, 1202, 12625, 4945, 531, 6651, 914, 16047, 20943, 637, 1639, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 87877, 1083, 236743, 236800, 236771, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 89132, 1083, 236743, 236800, 236771, 236810, 236771, 236771, 236771, 236764, 623, 184085, 1083, 236743, 236778, 236828, 236832, 236771, 236771, 236771, 236771, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 65859, 827, 623, 87877, 1083, 236743, 236778, 236812, 236828, 236810, 236771, 236771, 236771, 236771, 236764, 623, 89132, 1083, 236743, 236770, 236819, 236828, 236812, 236771, 236771, 236764, 623, 184085, 1083, 236743, 236778, 236800, 236825, 236771, 236771, 236771, 236771, 236771, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 10448, 14906, 568, 14210, 236787, 14069, 2036, 3196, 66160, 573, 236743, 236778, 236771, 236778, 236810, 1473, 108, 1018, 31756, 568, 30651, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 1473, 1018, 138, 107, 236772, 13810, 8593, 236787, 236743, 236800, 236771, 236764, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 147238, 236787, 236743, 236800, 236771, 236810, 236764, 236771, 236771, 236771, 138, 107, 236772, 121607, 524, 236787, 236743, 236778, 236828, 236764, 236832, 236771, 236771, 236764, 236771, 236771, 236771, 138, 108, 1018, 65859, 568, 30651, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 1473, 1018, 138, 107, 236772, 13810, 8593, 236787, 236743, 236778, 236812, 236764, 236828, 236810, 236771, 236764, 236771, 236771, 236771, 138, 107, 236772, 147238, 236787, 236743, 236770, 236819, 236828, 236764, 236812, 236771, 236771, 138, 107, 236772, 121607, 524, 236787, 236743, 236778, 236800, 236764, 236825, 236771, 236771, 236764, 236771, 236771, 236771, 138, 108, 2542, 4403, 236787, 138, 107, 236772, 5213, 3118, 20673, 568, 20123, 236743, 236778, 236771, 236778, 236800, 1473, 1018, 236743, 236770, 236770, 236778, 236767, 10778, 965, 236743, 236832, 236761, 236819, 236767, 19867, 138, 107, 236772, 5213, 18085, 69570, 568, 20123, 236743, 236778, 236771, 236778, 236800, 1473, 1018, 236743, 236832, 236771, 236800, 3625, 3636, 138, 108, 10354, 9533, 12505, 236787, 138, 107, 236770, 236761, 5213, 2100, 97592, 53121, 3143, 4945, 7495, 808, 147147, 236829, 69570, 236764, 711, 1873, 81152, 236761, 669, 236743, 236778, 236771, 236778, 236810, 14069, 4547, 2754, 1262, 3738, 9825, 568, 3374, 1237, 2404, 13253, 12280, 5158, 13761, 684, 5453, 236772, 236778, 236771, 236778, 236800, 769, 138, 107, 236778, 236761, 5213, 26179, 236789, 236751, 33744, 53121, 11702, 236789, 236751, 3649, 236743, 236778, 236771, 236778, 236771, 19902, 568, 6005, 10063, 6693, 184134, 236768, 3831, 528, 910, 41063, 1494, 4355, 3136, 75720, 236771, 236761, 236828, 236908, 529, 10778, 3636, 779, 1651, 7001, 236789, 236751, 6268, 5499, 88435, 607, 3715, 2558, 3636, 236761, 138, 107, 236800, 236761, 5213, 20884, 4403, 53121, 8732, 6693, 4808, 29465, 531, 623, 54301, 607, 506, 10625, 236775, 44362, 684, 236743, 236778, 236771, 236778, 236778, 236764, 19541, 580, 30604, 236786, 40475, 616, 4319, 1082, 101847, 236761, 21284, 611, 1133, 786, 531, 37386, 3530, 10941, 10034, 573, 7001, 236786, 65859, 653, 10769, 1091, 531, 2590, 12668, 236881, 138, 108, 818, 1262, 12205, 3879, 236789, 236751, 107479, 3649, 8073, 3782, 236789, 236745, 5001, 2455, 81152, 840, 1149, 735, 59065, 6634, 66342, 236761, 14040, 4301, 14523, 27768, 659, 919, 19240, 531, 30604, 4981, 1082, 10445, 1624, 18558, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 13086, 236764, 29104, 993, 236888, 564, 236789, 236757, 57716, 236764, 506, 886, 1015, 236789, 236751, 1010, 9795, 18361, 657, 506, 216644, 12258, 9519, 24037, 2203, 236761, 564, 236789, 236757, 10848, 3075, 496, 2268, 9855, 13650, 573, 506, 3399, 3988, 531, 11723, 1023, 8224, 2460, 237028, 10825, 1246, 974, 625, 1447, 573, 506, 18361, 1015, 740, 236789, 236745, 1386, 625, 528, 1589, 236761, 5315, 3210, 236764, 1451, 611, 8091, 872, 506, 15028, 4889, 573, 1041, 9639, 216644, 21580, 56312, 236881, 1030, 236789, 236751, 2506, 600, 2263, 14369, 2436, 26339, 236764, 532, 564, 1461, 531, 1386, 2889, 506, 13153, 1694, 563, 7075, 236772, 498, 236761, 4298, 236764, 90609, 506, 6376, 143896, 573, 129230, 237028, 236762, 838, 236764, 600, 236789, 236751, 506, 1519, 237028, 25142, 692, 236789, 500, 3490, 496, 2268, 623, 236798, 6981, 21887, 236775, 7824, 236761, 1452, 6861, 236764, 1769, 672, 4453, 1816, 531, 1386, 506, 9855, 236787, 623, 22163, 775, 573, 506, 216644, 12258, 9519, 24037, 2460, 672, 8224, 236888, 1191, 236789, 859, 577, 12284, 1023, 9639, 21580, 56312, 532, 9722, 496, 143896, 6013, 573, 129230, 236761, 20639, 4059, 506, 4083, 532, 506, 2780, 9332, 5393, 1161, 5422, 573, 506, 8300, 236764, 5091, 236761, 564, 236789, 859, 577, 84897, 495, 236789, 580, 506, 46162, 607, 1041, 6853, 236764, 10763, 495, 236789, 531, 625, 3622, 625, 236789, 236751, 5508, 236761, 106, 107, 105, 4368, 107, 2021, 6361, 607, 822, 2864, 236764, 564, 236789, 859, 1202, 531, 4133, 1806, 9395, 236761, 3153, 236764, 564, 6303, 506, 15028, 4889, 1660, 496, 3530, 2165, 42352, 236779, 547, 236929, 837, 18116, 236789, 236745, 1010, 3847, 236761, 28344, 611, 4024, 506, 15028, 5853, 573, 822, 623, 236798, 6981, 21580, 56312, 236775, 834, 564, 740, 33205, 506, 11459, 13153, 1694, 236881, 9920, 10778, 236764, 564, 236789, 859, 7162, 607, 506, 143896, 532, 9855, 8299, 236761, 108, 2542, 5577, 236787, 107, 236772, 172148, 795, 1161, 1519, 2165, 5211, 236929, 568, 236776, 2302, 236768, 532, 5192, 2165, 501, 236929, 568, 27832, 236768, 107, 236772, 18272, 1816, 795, 1161, 506, 4453, 20412, 611, 3847, 607, 3678, 5422, 8300, 108, 9366, 15148, 607, 506, 15028, 5853, 531, 4102, 236761, 106, 107, 105, 2364, 107, 13086, 236764, 564, 1537, 236858, 236745, 2506, 951, 28149, 5853, 573, 600, 56312, 237028, 4017, 496, 94788, 5433, 528, 1041, 8351, 40682, 236761, 2024, 564, 96678, 506, 216644, 53706, 12726, 18361, 1161, 623, 236752, 38337, 236779, 540, 641, 236779, 236778, 236771, 236778, 236800, 236775, 573, 625, 236761, 2981, 236858, 236751, 506, 886, 564, 236858, 560, 1010, 1699, 573, 1518, 236761, 4224, 236764, 1531, 236858, 236751, 974, 600, 9855, 3028, 1680, 506, 3768, 7093, 236764, 12797, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 547, 1083, 623, 236752, 38337, 236779, 540, 641, 236779, 236778, 236771, 236778, 236800, 827, 623, 1201, 1083, 623, 236798, 6981, 53706, 12726, 89636, 25891, 827, 623, 77095, 1083, 11058, 236778, 16931, 2263, 21580, 43321, 236764, 166383, 827, 623, 236770, 8578, 28594, 55529, 236764, 138748, 827, 623, 236770, 8578, 187557, 28003, 236764, 166383, 827, 623, 236770, 2455, 32159, 236764, 53037, 43449, 827, 623, 236812, 104582, 29508, 236764, 113033, 827, 623, 236770, 8578, 10293, 21580, 71072, 827, 623, 236770, 236786, 236778, 8578, 2263, 2604, 10135, 827, 623, 236778, 107072, 30336, 21836, 827, 623, 236770, 107072, 5756, 120602, 827, 623, 236778, 15158, 6895, 827, 623, 69654, 532, 22300, 531, 11613, 14255, 623, 96654, 1083, 623, 35000, 21580, 528, 2197, 3097, 230907, 236761, 210109, 236785, 236756, 236771, 236771, 236744, 236819, 40641, 532, 29508, 3097, 13935, 236761, 4140, 55529, 236764, 28003, 236764, 71072, 236764, 10135, 236764, 30336, 21836, 236764, 120602, 236764, 532, 15158, 6895, 236761, 4508, 1042, 7438, 573, 236743, 236778, 3885, 236761, 20273, 607, 9551, 532, 22300, 236761, 68988, 607, 37163, 236762, 12175, 699, 506, 216644, 108825, 10498, 623, 102487, 236779, 2086, 1083, 623, 236828, 105565, 827, 623, 165685, 236779, 2289, 1083, 623, 236778, 3885, 236743, 236770, 236810, 4310, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 8478, 1083, 623, 5211, 827, 623, 19859, 1083, 623, 501, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 1818, 32780, 1083, 623, 17076, 236764, 129230, 236764, 822, 3756, 10805, 795, 29369, 618, 611, 21332, 20173, 7760, 236761, 12267, 822, 75568, 1056, 3043, 9886, 236785, 236756, 236778, 236771, 236770, 236812, 17993, 24597, 563, 822, 11333, 14431, 236761, 562, 6584, 14087, 1451, 2080, 531, 496, 21475, 5603, 236761, 21429, 531, 7002, 822, 5697, 607, 13144, 529, 16680, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 19294, 236779, 2451, 1083, 623, 2574, 1411, 181688, 236761, 8358, 236761, 854, 236786, 1591, 130395, 31300, 236779, 5106, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236761, 2720, 236800, 827, 623, 4818, 1083, 623, 10934, 827, 623, 22289, 1083, 623, 501, 236772, 3118, 236772, 236776, 4540, 174728, 827, 623, 1005, 236779, 3119, 1083, 236743, 236770, 236810, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 822, 15633, 4852, 236764, 57716, 237028, 73380, 236789, 236751, 5508, 573, 506, 8224, 2460, 236888, 138, 108, 1018, 236770, 236761, 216644, 53706, 12726, 89636, 25891, 52258, 1018, 138, 107, 236829, 64690, 63508, 138, 107, 236772, 236743, 236778, 16931, 2263, 21580, 43321, 236764, 166383, 138, 107, 236772, 236743, 236770, 8578, 28594, 55529, 236764, 138748, 138, 107, 236772, 236743, 236770, 8578, 187557, 28003, 236764, 166383, 138, 107, 236772, 236743, 236770, 2455, 32159, 236764, 53037, 43449, 138, 107, 236772, 236743, 236812, 104582, 29508, 236764, 113033, 138, 107, 236772, 236743, 236770, 8578, 10293, 21580, 71072, 138, 107, 236772, 236743, 236770, 236786, 236778, 8578, 2263, 2604, 10135, 138, 107, 236772, 236743, 236778, 107072, 30336, 21836, 138, 107, 236772, 236743, 236770, 107072, 5756, 120602, 138, 107, 236772, 236743, 236778, 15158, 6895, 138, 107, 236772, 28501, 532, 22300, 531, 11613, 138, 108, 236829, 81851, 63508, 9833, 21580, 3097, 230907, 236761, 555, 49358, 40641, 236786, 5359, 788, 236764, 1138, 76173, 236764, 71072, 236764, 10135, 236764, 30336, 21836, 236764, 120602, 236764, 532, 15158, 6895, 236761, 4508, 1042, 236743, 236778, 3885, 236761, 20273, 532, 7298, 607, 216644, 108825, 12175, 236761, 138, 108, 1018, 236778, 236761, 129230, 172148, 568, 17076, 62902, 138, 107, 71510, 11069, 3756, 10805, 795, 29369, 3124, 236761, 12267, 822, 75568, 237028, 17993, 24597, 563, 822, 11333, 14431, 236761, 562, 6584, 14087, 1451, 2080, 531, 496, 21475, 5603, 236761, 31814, 822, 5697, 607, 13144, 529, 16680, 1781, 236829, 138, 108, 1018, 236800, 236761, 18272, 64948, 44096, 1018, 138, 107, 247173, 870, 18086, 10297, 5457, 2574, 1411, 181688, 236761, 8358, 236761, 854, 236786, 1591, 130395, 31300, 236779, 5106, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236761, 2720, 236800, 236768, 138, 107, 236829, 2067, 22852, 63508, 138, 107, 71510, 22163, 775, 573, 506, 216644, 12258, 9519, 24037, 2460, 672, 8224, 236888, 1191, 236789, 859, 577, 12284, 1023, 9639, 21580, 56312, 532, 9722, 496, 143896, 6013, 573, 129230, 236761, 20639, 4059, 506, 4083, 532, 506, 2780, 9332, 236829, 138, 108, 3243, 1076, 573, 822, 46162, 13723, 6478, 236764, 57716, 236761, 669, 56312, 236858, 236751, 13153, 659, 808, 161617, 236829, 618, 611, 4970, 236764, 532, 506, 9855, 236858, 236751, 5508, 531, 6309, 236761, 5912, 611, 8224, 236888, 236743, 248265, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 13086, 236764, 29104, 993, 236888, 564, 236789, 236757, 57716, 236764, 506, 886, 1015, 236789, 236751, 1010, 9795, 18361, 657, 506, 216644, 12258, 9519, 24037, 2203, 236761, 564, 236789, 236757, 10848, 3075, 496, 2268, 9855, 13650, 573, 506, 3399, 3988, 531, 11723, 1023, 8224, 2460, 237028, 10825, 1246, 974, 625, 1447, 573, 506, 18361, 1015, 740, 236789, 236745, 1386, 625, 528, 1589, 236761, 5315, 3210, 236764, 1451, 611, 8091, 872, 506, 15028, 4889, 573, 1041, 9639, 216644, 21580, 56312, 236881, 1030, 236789, 236751, 2506, 600, 2263, 14369, 2436, 26339, 236764, 532, 564, 1461, 531, 1386, 2889, 506, 13153, 1694, 563, 7075, 236772, 498, 236761, 4298, 236764, 90609, 506, 6376, 143896, 573, 129230, 237028, 236762, 838, 236764, 600, 236789, 236751, 506, 1519, 237028, 25142, 692, 236789, 500, 3490, 496, 2268, 623, 236798, 6981, 21887, 236775, 7824, 236761, 1452, 6861, 236764, 1769, 672, 4453, 1816, 531, 1386, 506, 9855, 236787, 623, 22163, 775, 573, 506, 216644, 12258, 9519, 24037, 2460, 672, 8224, 236888, 1191, 236789, 859, 577, 12284, 1023, 9639, 21580, 56312, 532, 9722, 496, 143896, 6013, 573, 129230, 236761, 20639, 4059, 506, 4083, 532, 506, 2780, 9332, 5393, 1161, 5422, 573, 506, 8300, 236764, 5091, 236761, 564, 236789, 859, 577, 84897, 495, 236789, 580, 506, 46162, 607, 1041, 6853, 236764, 10763, 495, 236789, 531, 625, 3622, 625, 236789, 236751, 5508, 236761, 106, 107, 105, 4368, 107, 2021, 6361, 607, 822, 2864, 236764, 564, 236789, 859, 1202, 531, 4133, 1806, 9395, 236761, 3153, 236764, 564, 6303, 506, 15028, 4889, 1660, 496, 3530, 2165, 42352, 236779, 547, 236929, 837, 18116, 236789, 236745, 1010, 3847, 236761, 28344, 611, 4024, 506, 15028, 5853, 573, 822, 623, 236798, 6981, 21580, 56312, 236775, 834, 564, 740, 33205, 506, 11459, 13153, 1694, 236881, 9920, 10778, 236764, 564, 236789, 859, 7162, 607, 506, 143896, 532, 9855, 8299, 236761, 108, 2542, 5577, 236787, 107, 236772, 172148, 795, 1161, 1519, 2165, 5211, 236929, 568, 236776, 2302, 236768, 532, 5192, 2165, 501, 236929, 568, 27832, 236768, 107, 236772, 18272, 1816, 795, 1161, 506, 4453, 20412, 611, 3847, 607, 3678, 5422, 8300, 108, 9366, 15148, 607, 506, 15028, 5853, 531, 4102, 236761, 106, 107, 105, 2364, 107, 13086, 236764, 564, 1537, 236858, 236745, 2506, 951, 28149, 5853, 573, 600, 56312, 237028, 4017, 496, 94788, 5433, 528, 1041, 8351, 40682, 236761, 2024, 564, 96678, 506, 216644, 53706, 12726, 18361, 1161, 623, 236752, 38337, 236779, 540, 641, 236779, 236778, 236771, 236778, 236800, 236775, 573, 625, 236761, 2981, 236858, 236751, 506, 886, 564, 236858, 560, 1010, 1699, 573, 1518, 236761, 4224, 236764, 1531, 236858, 236751, 974, 600, 9855, 3028, 1680, 506, 3768, 7093, 236764, 12797, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 547, 1083, 623, 236752, 38337, 236779, 540, 641, 236779, 236778, 236771, 236778, 236800, 827, 623, 1201, 1083, 623, 236798, 6981, 53706, 12726, 89636, 25891, 827, 623, 77095, 1083, 11058, 236778, 16931, 2263, 21580, 43321, 236764, 166383, 827, 623, 236770, 8578, 28594, 55529, 236764, 138748, 827, 623, 236770, 8578, 187557, 28003, 236764, 166383, 827, 623, 236770, 2455, 32159, 236764, 53037, 43449, 827, 623, 236812, 104582, 29508, 236764, 113033, 827, 623, 236770, 8578, 10293, 21580, 71072, 827, 623, 236770, 236786, 236778, 8578, 2263, 2604, 10135, 827, 623, 236778, 107072, 30336, 21836, 827, 623, 236770, 107072, 5756, 120602, 827, 623, 236778, 15158, 6895, 827, 623, 69654, 532, 22300, 531, 11613, 14255, 623, 96654, 1083, 623, 35000, 21580, 528, 2197, 3097, 230907, 236761, 210109, 236785, 236756, 236771, 236771, 236744, 236819, 40641, 532, 29508, 3097, 13935, 236761, 4140, 55529, 236764, 28003, 236764, 71072, 236764, 10135, 236764, 30336, 21836, 236764, 120602, 236764, 532, 15158, 6895, 236761, 4508, 1042, 7438, 573, 236743, 236778, 3885, 236761, 20273, 607, 9551, 532, 22300, 236761, 68988, 607, 37163, 236762, 12175, 699, 506, 216644, 108825, 10498, 623, 102487, 236779, 2086, 1083, 623, 236828, 105565, 827, 623, 165685, 236779, 2289, 1083, 623, 236778, 3885, 236743, 236770, 236810, 4310, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 8478, 1083, 623, 5211, 827, 623, 19859, 1083, 623, 501, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 1818, 32780, 1083, 623, 17076, 236764, 129230, 236764, 822, 3756, 10805, 795, 29369, 618, 611, 21332, 20173, 7760, 236761, 12267, 822, 75568, 1056, 3043, 9886, 236785, 236756, 236778, 236771, 236770, 236812, 17993, 24597, 563, 822, 11333, 14431, 236761, 562, 6584, 14087, 1451, 2080, 531, 496, 21475, 5603, 236761, 21429, 531, 7002, 822, 5697, 607, 13144, 529, 16680, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 19294, 236779, 2451, 1083, 623, 2574, 1411, 181688, 236761, 8358, 236761, 854, 236786, 1591, 130395, 31300, 236779, 5106, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236761, 2720, 236800, 827, 623, 4818, 1083, 623, 10934, 827, 623, 22289, 1083, 623, 501, 236772, 3118, 236772, 236776, 4540, 174728, 827, 623, 1005, 236779, 3119, 1083, 236743, 236770, 236810, 236778, 236783, 106, 107, 105, 4368, 107, 8291, 659, 822, 15633, 4852, 236764, 57716, 237028, 73380, 236789, 236751, 5508, 573, 506, 8224, 2460, 236888, 138, 108, 1018, 236770, 236761, 216644, 53706, 12726, 89636, 25891, 52258, 1018, 138, 107, 236829, 64690, 63508, 138, 107, 236772, 236743, 236778, 16931, 2263, 21580, 43321, 236764, 166383, 138, 107, 236772, 236743, 236770, 8578, 28594, 55529, 236764, 138748, 138, 107, 236772, 236743, 236770, 8578, 187557, 28003, 236764, 166383, 138, 107, 236772, 236743, 236770, 2455, 32159, 236764, 53037, 43449, 138, 107, 236772, 236743, 236812, 104582, 29508, 236764, 113033, 138, 107, 236772, 236743, 236770, 8578, 10293, 21580, 71072, 138, 107, 236772, 236743, 236770, 236786, 236778, 8578, 2263, 2604, 10135, 138, 107, 236772, 236743, 236778, 107072, 30336, 21836, 138, 107, 236772, 236743, 236770, 107072, 5756, 120602, 138, 107, 236772, 236743, 236778, 15158, 6895, 138, 107, 236772, 28501, 532, 22300, 531, 11613, 138, 108, 236829, 81851, 63508, 9833, 21580, 3097, 230907, 236761, 555, 49358, 40641, 236786, 5359, 788, 236764, 1138, 76173, 236764, 71072, 236764, 10135, 236764, 30336, 21836, 236764, 120602, 236764, 532, 15158, 6895, 236761, 4508, 1042, 236743, 236778, 3885, 236761, 20273, 532, 7298, 607, 216644, 108825, 12175, 236761, 138, 108, 1018, 236778, 236761, 129230, 172148, 568, 17076, 62902, 138, 107, 71510, 11069, 3756, 10805, 795, 29369, 3124, 236761, 12267, 822, 75568, 237028, 17993, 24597, 563, 822, 11333, 14431, 236761, 562, 6584, 14087, 1451, 2080, 531, 496, 21475, 5603, 236761, 31814, 822, 5697, 607, 13144, 529, 16680, 1781, 236829, 138, 108, 1018, 236800, 236761, 18272, 64948, 44096, 1018, 138, 107, 247173, 870, 18086, 10297, 5457, 2574, 1411, 181688, 236761, 8358, 236761, 854, 236786, 1591, 130395, 31300, 236779, 5106, 236779, 236778, 236771, 236778, 236810, 236771, 236825, 236778, 236771, 236761, 2720, 236800, 236768, 138, 107, 236829, 2067, 22852, 63508, 138, 107, 71510, 22163, 775, 573, 506, 216644, 12258, 9519, 24037, 2460, 672, 8224, 236888, 1191, 236789, 859, 577, 12284, 1023, 9639, 21580, 56312, 532, 9722, 496, 143896, 6013, 573, 129230, 236761, 20639, 4059, 506, 4083, 532, 506, 2780, 9332, 236829, 138, 108, 3243, 1076, 573, 822, 46162, 13723, 6478, 236764, 57716, 236761, 669, 56312, 236858, 236751, 13153, 659, 808, 161617, 236829, 618, 611, 4970, 236764, 532, 506, 9855, 236858, 236751, 5508, 531, 6309, 236761, 5912, 611, 8224, 236888, 236743, 248265, 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, 8330, 13049, 2203, 573, 614, 5251, 4430, 236764, 532, 564, 1202, 531, 7352, 910, 7715, 9732, 699, 12139, 81027, 531, 23058, 236761, 3199, 611, 7352, 236743, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 730, 22965, 531, 23058, 1699, 506, 1346, 1873, 8770, 3136, 236881, 1174, 795, 1601, 786, 6518, 506, 4867, 3336, 529, 506, 2072, 23704, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236770, 236771, 236771, 236800, 236761, 236810, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236771, 236825, 236825, 236819, 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, 25938, 106, 107, 105, 4368, 107, 818, 16952, 2886, 529, 236743, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 12139, 81027, 568, 198481, 236768, 563, 5213, 236770, 236764, 236771, 236771, 236800, 236761, 236810, 236771, 2590, 92523, 568, 38556, 62902, 2721, 580, 506, 6524, 8770, 3136, 529, 5213, 236771, 236761, 236771, 236771, 236825, 236825, 236819, 1018, 568, 527, 529, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 657, 236743, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 59528, 769, 236743, 108, 2094, 14274, 22136, 506, 1873, 2436, 3136, 532, 1374, 2847, 11459, 4867, 53892, 573, 822, 13049, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107, 105, 2364, 107, 236777, 1164, 14995, 506, 4430, 2473, 1461, 531, 10769, 672, 14274, 607, 506, 8770, 3136, 699, 6517, 672, 1051, 1056, 901, 14877, 156291, 236761, 3199, 611, 2426, 1144, 506, 730, 22965, 531, 23058, 3136, 691, 580, 6027, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236881, 1174, 795, 1601, 786, 5433, 1027, 3629, 30217, 528, 506, 13049, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48515, 236779, 9707, 1083, 236743, 236771, 236761, 236771, 236771, 236832, 236812, 236764, 623, 5521, 236779, 27617, 1083, 623, 198481, 827, 623, 5654, 236779, 27617, 1083, 623, 38556, 827, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 25938, 106, 107, 105, 4368, 107, 2791, 6027, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 506, 8770, 3136, 573, 5213, 53187, 81027, 568, 198481, 236768, 531, 2590, 46754, 568, 38556, 62902, 691, 5213, 236771, 236761, 236771, 236771, 236832, 236812, 1018, 568, 236770, 730, 22965, 578, 236743, 236771, 236761, 236771, 236771, 236832, 236812, 23058, 769, 1174, 563, 36651, 3715, 1082, 506, 1873, 3136, 529, 5213, 236771, 236761, 236771, 236771, 236825, 236825, 236819, 1018, 568, 527, 529, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 779, 17674, 496, 87629, 529, 506, 12139, 81027, 2342, 506, 2590, 46754, 1024, 672, 2846, 236761, 236743, 108, 3048, 1451, 5433, 528, 822, 13049, 600, 506, 23058, 236786, 198481, 8770, 3136, 815, 24312, 774, 8792, 672, 1051, 236764, 607, 506, 38977, 15174, 1550, 6658, 531, 506, 15285, 2338, 506, 1502, 529, 236743, 236778, 236771, 236778, 236800, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 3671, 236888, 106, 107, 105, 2364, 107, 818, 4430, 992, 4733, 1003, 3435, 7715, 30981, 768, 901, 964, 531, 7352, 496, 6268, 2886, 2148, 2297, 236761, 5612, 8770, 6224, 130712, 236764, 564, 1202, 531, 1407, 1217, 506, 3136, 815, 6692, 1024, 506, 3068, 1051, 236761, 28344, 611, 2847, 506, 730, 22965, 531, 23058, 3136, 699, 6198, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236778, 236881, 1174, 1093, 2583, 786, 496, 1051, 236772, 1749, 236772, 3704, 9960, 1523, 531, 3204, 528, 1041, 3671, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 236743, 236770, 236812, 236778, 236761, 236800, 236810, 236764, 623, 5521, 236779, 27617, 1083, 623, 198481, 827, 623, 5654, 236779, 27617, 1083, 623, 38556, 827, 623, 30449, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236771, 236770, 25938, 106, 107, 105, 4368, 107, 2791, 6198, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236778, 236764, 506, 8770, 3136, 573, 5213, 53187, 81027, 568, 198481, 236768, 531, 2590, 46754, 568, 38556, 62902, 691, 5213, 236770, 236812, 236778, 236761, 236800, 236810, 730, 22965, 810, 236743, 236770, 23058, 1018, 568, 99756, 531, 5213, 236770, 730, 22965, 67081, 236743, 236771, 236761, 236771, 236771, 236832, 236771, 236778, 236810, 23058, 1018, 769, 1174, 9282, 496, 15281, 38977, 5483, 531, 506, 3136, 580, 6027, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 568, 236771, 236761, 236771, 236771, 236832, 236812, 23058, 236786, 198481, 236768, 840, 37385, 1082, 506, 1873, 3136, 529, 236743, 236771, 236761, 236771, 236771, 236825, 236825, 236819, 23058, 236786, 198481, 568, 527, 529, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 769, 236743, 108, 10354, 8799, 236772, 1749, 236772, 16431, 36520, 236787, 107, 236772, 5213, 36817, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236778, 66515, 236743, 236770, 730, 22965, 578, 2578, 236771, 236761, 236771, 236771, 236832, 236771, 236778, 236810, 23058, 138, 107, 236772, 5213, 36302, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 236743, 236770, 730, 22965, 578, 236743, 236771, 236761, 236771, 236771, 236832, 236812, 23058, 138, 107, 236772, 5213, 36817, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 236743, 236770, 730, 22965, 578, 236743, 236771, 236761, 236771, 236771, 236825, 236825, 236819, 23058, 138, 108, 2094, 3831, 3629, 43866, 236764, 607, 506, 38977, 87629, 684, 2578, 236770, 236771, 236908, 2342, 506, 15285, 1024, 506, 3068, 1051, 568, 2543, 2578, 236771, 236761, 236771, 236771, 236832, 236771, 236778, 236810, 531, 236743, 236771, 236761, 236771, 236771, 236825, 236825, 236819, 769, 1701, 506, 4430, 236858, 236751, 7715, 30981, 236764, 672, 20756, 506, 8020, 529, 11734, 8770, 6224, 573, 6268, 63680, 236764, 618, 21238, 1451, 4100, 506, 23058, 1550, 4461, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 136031, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2844, 580, 496, 8330, 13049, 2203, 573, 614, 5251, 4430, 236764, 532, 564, 1202, 531, 7352, 910, 7715, 9732, 699, 12139, 81027, 531, 23058, 236761, 3199, 611, 7352, 236743, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 730, 22965, 531, 23058, 1699, 506, 1346, 1873, 8770, 3136, 236881, 1174, 795, 1601, 786, 6518, 506, 4867, 3336, 529, 506, 2072, 23704, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236770, 236771, 236771, 236800, 236761, 236810, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236771, 236825, 236825, 236819, 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, 25938, 106, 107, 105, 4368, 107, 818, 16952, 2886, 529, 236743, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 12139, 81027, 568, 198481, 236768, 563, 5213, 236770, 236764, 236771, 236771, 236800, 236761, 236810, 236771, 2590, 92523, 568, 38556, 62902, 2721, 580, 506, 6524, 8770, 3136, 529, 5213, 236771, 236761, 236771, 236771, 236825, 236825, 236819, 1018, 568, 527, 529, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 657, 236743, 236770, 236778, 236787, 236800, 236812, 236787, 236810, 236825, 59528, 769, 236743, 108, 2094, 14274, 22136, 506, 1873, 2436, 3136, 532, 1374, 2847, 11459, 4867, 53892, 573, 822, 13049, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107, 105, 2364, 107, 236777, 1164, 14995, 506, 4430, 2473, 1461, 531, 10769, 672, 14274, 607, 506, 8770, 3136, 699, 6517, 672, 1051, 1056, 901, 14877, 156291, 236761, 3199, 611, 2426, 1144, 506, 730, 22965, 531, 23058, 3136, 691, 580, 6027, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236881, 1174, 795, 1601, 786, 5433, 1027, 3629, 30217, 528, 506, 13049, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 48515, 236779, 9707, 1083, 236743, 236771, 236761, 236771, 236771, 236832, 236812, 236764, 623, 5521, 236779, 27617, 1083, 623, 198481, 827, 623, 5654, 236779, 27617, 1083, 623, 38556, 827, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 25938, 106, 107, 105, 4368, 107, 2791, 6027, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 506, 8770, 3136, 573, 5213, 53187, 81027, 568, 198481, 236768, 531, 2590, 46754, 568, 38556, 62902, 691, 5213, 236771, 236761, 236771, 236771, 236832, 236812, 1018, 568, 236770, 730, 22965, 578, 236743, 236771, 236761, 236771, 236771, 236832, 236812, 23058, 769, 1174, 563, 36651, 3715, 1082, 506, 1873, 3136, 529, 5213, 236771, 236761, 236771, 236771, 236825, 236825, 236819, 1018, 568, 527, 529, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 779, 17674, 496, 87629, 529, 506, 12139, 81027, 2342, 506, 2590, 46754, 1024, 672, 2846, 236761, 236743, 108, 3048, 1451, 5433, 528, 822, 13049, 600, 506, 23058, 236786, 198481, 8770, 3136, 815, 24312, 774, 8792, 672, 1051, 236764, 607, 506, 38977, 15174, 1550, 6658, 531, 506, 15285, 2338, 506, 1502, 529, 236743, 236778, 236771, 236778, 236800, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 3671, 236888, 106, 107, 105, 2364, 107, 818, 4430, 992, 4733, 1003, 3435, 7715, 30981, 768, 901, 964, 531, 7352, 496, 6268, 2886, 2148, 2297, 236761, 5612, 8770, 6224, 130712, 236764, 564, 1202, 531, 1407, 1217, 506, 3136, 815, 6692, 1024, 506, 3068, 1051, 236761, 28344, 611, 2847, 506, 730, 22965, 531, 23058, 3136, 699, 6198, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236778, 236881, 1174, 1093, 2583, 786, 496, 1051, 236772, 1749, 236772, 3704, 9960, 1523, 531, 3204, 528, 1041, 3671, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 236743, 236770, 236812, 236778, 236761, 236800, 236810, 236764, 623, 5521, 236779, 27617, 1083, 623, 198481, 827, 623, 5654, 236779, 27617, 1083, 623, 38556, 827, 623, 30449, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236770, 236771, 236772, 236771, 236770, 25938, 106, 107, 105, 4368, 107, 2791, 6198, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236778, 236764, 506, 8770, 3136, 573, 5213, 53187, 81027, 568, 198481, 236768, 531, 2590, 46754, 568, 38556, 62902, 691, 5213, 236770, 236812, 236778, 236761, 236800, 236810, 730, 22965, 810, 236743, 236770, 23058, 1018, 568, 99756, 531, 5213, 236770, 730, 22965, 67081, 236743, 236771, 236761, 236771, 236771, 236832, 236771, 236778, 236810, 23058, 1018, 769, 1174, 9282, 496, 15281, 38977, 5483, 531, 506, 3136, 580, 6027, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 568, 236771, 236761, 236771, 236771, 236832, 236812, 23058, 236786, 198481, 236768, 840, 37385, 1082, 506, 1873, 3136, 529, 236743, 236771, 236761, 236771, 236771, 236825, 236825, 236819, 23058, 236786, 198481, 568, 527, 529, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 769, 236743, 108, 10354, 8799, 236772, 1749, 236772, 16431, 36520, 236787, 107, 236772, 5213, 36817, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236778, 66515, 236743, 236770, 730, 22965, 578, 2578, 236771, 236761, 236771, 236771, 236832, 236771, 236778, 236810, 23058, 138, 107, 236772, 5213, 36302, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 236743, 236770, 730, 22965, 578, 236743, 236771, 236761, 236771, 236771, 236832, 236812, 23058, 138, 107, 236772, 5213, 36817, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 66515, 236743, 236770, 730, 22965, 578, 236743, 236771, 236761, 236771, 236771, 236825, 236825, 236819, 23058, 138, 108, 2094, 3831, 3629, 43866, 236764, 607, 506, 38977, 87629, 684, 2578, 236770, 236771, 236908, 2342, 506, 15285, 1024, 506, 3068, 1051, 568, 2543, 2578, 236771, 236761, 236771, 236771, 236832, 236771, 236778, 236810, 531, 236743, 236771, 236761, 236771, 236771, 236825, 236825, 236819, 769, 1701, 506, 4430, 236858, 236751, 7715, 30981, 236764, 672, 20756, 506, 8020, 529, 11734, 8770, 6224, 573, 6268, 63680, 236764, 618, 21238, 1451, 4100, 506, 23058, 1550, 4461, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 136031, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 16329, 496, 8610, 573, 496, 154213, 2203, 4317, 236761, 3551, 53276, 6950, 623, 5903, 899, 5168, 12033, 236761, 854, 236775, 2473, 577, 2487, 753, 1451, 611, 18840, 600, 8610, 236789, 236751, 19455, 1343, 822, 6436, 236881, 564, 236789, 236757, 6972, 1003, 6250, 496, 1944, 3489, 7805, 573, 2401, 15583, 4688, 840, 1461, 531, 1281, 768, 506, 8610, 236789, 236751, 4083, 2473, 4208, 2432, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 5903, 899, 5168, 12033, 236761, 854, 827, 623, 19645, 236779, 3119, 1083, 236743, 236770, 236828, 236764, 623, 42098, 236779, 26377, 236779, 2861, 1083, 236743, 236770, 236764, 623, 658, 878, 236779, 2861, 1083, 236743, 236770, 236810, 236771, 236764, 623, 56905, 236779, 4818, 1083, 623, 18700, 827, 623, 4818, 1083, 623, 5034, 827, 623, 5455, 236779, 79082, 8562, 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, 3671, 573, 5213, 5903, 899, 5168, 12033, 236761, 854, 66515, 108, 236772, 5213, 31212, 37598, 66515, 236743, 236770, 236828, 7579, 568, 174991, 1440, 840, 20626, 573, 496, 36989, 1960, 236768, 107, 236772, 5213, 53666, 16234, 66515, 236743, 236770, 9941, 6235, 528, 4083, 107, 236772, 5213, 31335, 44234, 878, 66515, 236743, 236770, 236810, 236771, 2558, 42298, 50054, 107, 236772, 5213, 51164, 66515, 113452, 29980, 5213, 18700, 1018, 573, 15020, 107, 236772, 5213, 6717, 66515, 23531, 8610, 568, 2217, 44911, 653, 22235, 236768, 107, 236772, 5213, 9008, 54751, 8562, 66515, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 108, 2542, 822, 15583, 4688, 7805, 236764, 672, 8610, 7412, 30705, 236761, 669, 2708, 3068, 5886, 1527, 12205, 625, 18116, 236789, 236745, 1010, 18677, 38633, 236764, 532, 506, 15830, 4981, 44898, 611, 1451, 6818, 625, 236761, 669, 236743, 236770, 236810, 236771, 42298, 2473, 10128, 1070, 6330, 3399, 2142, 528, 154213, 5699, 236761, 21284, 611, 1133, 786, 531, 2426, 1027, 1032, 26104, 618, 24277, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2426, 5213, 5903, 899, 236759, 3848, 7868, 3301, 236761, 854, 1018, 2148, 236881, 1030, 5072, 919, 3530, 531, 1041, 15583, 4688, 4317, 236761, 6542, 236764, 7463, 1385, 657, 5213, 5168, 12033, 70160, 20764, 236761, 854, 1018, 531, 1460, 768, 1724, 659, 2487, 236761, 564, 1461, 531, 10769, 19455, 1680, 32271, 753, 20532, 5618, 2473, 577, 2480, 573, 26395, 236764, 840, 564, 1537, 236789, 236745, 1461, 531, 8321, 990, 580, 26104, 607, 191399, 54949, 236761, 3551, 53276, 6950, 173699, 236789, 236751, 20623, 7088, 1161, 3361, 48486, 9935, 236764, 834, 2263, 36787, 11949, 2311, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 5903, 899, 236759, 3848, 7868, 3301, 236761, 854, 827, 623, 19645, 236779, 3119, 1083, 236743, 236778, 236771, 236764, 623, 42098, 236779, 26377, 1083, 236743, 236800, 236764, 623, 658, 878, 1083, 236743, 236770, 236810, 236771, 236764, 623, 56905, 1083, 1847, 236764, 623, 6047, 236779, 500, 113458, 1083, 236743, 236771, 236761, 236828, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 5168, 12033, 70160, 20764, 236761, 854, 827, 623, 28263, 1083, 3714, 19645, 236779, 3119, 1083, 236743, 236778, 236800, 236764, 623, 42098, 236779, 26377, 1083, 3714, 6725, 236779, 26377, 1083, 236743, 236770, 236778, 236764, 623, 5455, 236779, 39654, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236828, 236772, 236770, 236810, 827, 623, 18553, 236779, 39654, 236779, 9707, 1083, 6610, 236778, 236764, 236812, 236810, 236771, 23179, 623, 658, 878, 1083, 3714, 6725, 236779, 658, 878, 1083, 236743, 236832, 236828, 236764, 623, 43852, 236779, 58043, 1083, 10955, 236770, 236778, 236908, 13822, 827, 623, 30182, 1083, 11058, 17470, 215265, 236761, 854, 827, 623, 1437, 595, 787, 236761, 854, 827, 623, 70160, 12392, 236761, 854, 152254, 623, 104162, 236779, 29263, 1083, 3714, 19645, 236779, 84885, 1083, 236743, 236812, 236778, 236764, 623, 1942, 2883, 236779, 13330, 1083, 623, 166920, 827, 623, 42999, 236779, 15080, 1013, 1083, 11058, 5168, 12033, 827, 623, 70160, 4688, 827, 623, 123865, 15583, 152254, 623, 18308, 236779, 4256, 1083, 3714, 163580, 8795, 236779, 13692, 1083, 2416, 236764, 623, 67299, 236779, 18308, 1083, 623, 32631, 827, 623, 676, 1083, 623, 236770, 236778, 1518, 23179, 623, 6047, 236779, 500, 113458, 1083, 3714, 234863, 236779, 3123, 1083, 11058, 176122, 827, 623, 95124, 8429, 14255, 623, 216398, 236779, 41427, 1083, 11058, 7320, 43705, 827, 623, 12033, 20623, 14255, 623, 8318, 1083, 236743, 236828, 236761, 236770, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 506, 1156, 26104, 236787, 108, 1018, 236770, 236761, 16109, 899, 236759, 3848, 7868, 3301, 236761, 854, 1018, 138, 107, 236772, 5213, 31212, 37598, 66515, 236743, 236778, 236771, 7579, 138, 107, 236772, 5213, 53666, 16234, 66515, 236743, 236800, 2558, 138, 107, 236772, 5213, 66078, 878, 66515, 236743, 236770, 236810, 236771, 2558, 568, 45258, 7003, 236768, 138, 107, 236772, 5213, 51164, 66515, 113452, 18326, 138, 107, 236772, 5213, 13149, 202571, 66515, 236743, 236828, 236810, 236908, 568, 22468, 36700, 8429, 236786, 7320, 43705, 23948, 236768, 138, 107, 236772, 5213, 63449, 66515, 1705, 8525, 236764, 2487, 236764, 3188, 2263, 26395, 3435, 138, 107, 236772, 5213, 10085, 66515, 19159, 11858, 1262, 138, 108, 1018, 236778, 236761, 3863, 12033, 70160, 20764, 236761, 854, 1018, 138, 107, 236772, 5213, 31212, 37598, 66515, 236743, 236778, 236800, 7579, 138, 107, 236772, 5213, 53666, 16234, 66515, 236743, 236770, 236778, 2558, 6131, 236778, 236764, 236812, 236810, 236771, 34561, 3385, 236768, 138, 107, 236772, 5213, 66078, 878, 66515, 236743, 236832, 236828, 2558, 568, 236770, 236778, 236908, 13822, 3877, 236764, 2440, 42298, 528, 808, 29235, 177401, 30237, 808, 818, 169462, 30237, 532, 808, 77259, 4109, 17616, 138, 107, 236772, 5213, 89327, 116589, 66515, 49822, 19430, 236743, 236812, 236778, 236764, 26867, 573, 623, 5168, 12033, 2098, 623, 70160, 4688, 2098, 532, 623, 123865, 15583, 236775, 138, 107, 236772, 5213, 16146, 66515, 236743, 236770, 236778, 1518, 2255, 236764, 951, 41492, 4588, 236764, 2752, 46105, 138, 107, 236772, 5213, 13149, 202571, 66515, 236743, 236828, 236761, 236770, 236786, 236770, 236771, 568, 176122, 236786, 95124, 8429, 23948, 236764, 173699, 20623, 30154, 236768, 138, 107, 236772, 5213, 63449, 66515, 102323, 9747, 236764, 60194, 31097, 236764, 36989, 236772, 15396, 30154, 138, 107, 236772, 5213, 10085, 66515, 102896, 1463, 236764, 919, 11162, 102597, 4083, 138, 108, 1018, 211199, 66515, 138, 107, 236772, 5213, 24852, 16109, 899, 236759, 3848, 7868, 3301, 236761, 854, 1018, 768, 611, 56856, 496, 20532, 236764, 2487, 8610, 607, 3188, 2263, 36787, 532, 18661, 11858, 31094, 236761, 138, 107, 236772, 5213, 24852, 3863, 12033, 70160, 20764, 236761, 854, 1018, 768, 611, 1461, 614, 6697, 8610, 607, 36989, 26395, 47551, 532, 6730, 4009, 42298, 236764, 9785, 1061, 3861, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 24277, 607, 20532, 25565, 568, 236744, 236761, 236759, 1126, 623, 5903, 899, 236759, 3848, 1731, 236761, 854, 1373, 653, 59638, 822, 13138, 3342, 236881, 106, 107, 105, 2364, 107, 6845, 5213, 5903, 899, 236759, 3848, 1731, 236761, 854, 1018, 2148, 236761, 1637, 625, 236789, 236751, 2487, 607, 16279, 2263, 36787, 236764, 625, 2473, 7002, 145867, 532, 36700, 8429, 23948, 2480, 1082, 506, 3496, 236761, 564, 1461, 2613, 600, 11906, 6638, 531, 506, 2433, 840, 5889, 236789, 236745, 496, 193104, 573, 5103, 531, 1722, 236761, 3792, 786, 1281, 506, 19455, 753, 768, 625, 236789, 236751, 711, 30705, 236764, 692, 236789, 859, 10059, 1063, 531, 506, 3863, 12033, 3835, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 5903, 899, 236759, 3848, 1731, 236761, 854, 827, 623, 19645, 236779, 3119, 1083, 236743, 236770, 236810, 236764, 623, 42098, 236779, 26377, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 658, 878, 1083, 236743, 236800, 236771, 236771, 236764, 623, 6047, 236779, 500, 113458, 1083, 623, 11480, 827, 623, 56905, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 573, 5213, 5903, 899, 236759, 3848, 1731, 236761, 854, 66515, 108, 236772, 5213, 31212, 37598, 66515, 236743, 236770, 236810, 7579, 568, 63914, 573, 30569, 2109, 532, 26395, 236768, 107, 236772, 5213, 53666, 16234, 66515, 236743, 236770, 236764, 236778, 236771, 236771, 2558, 568, 602, 47896, 1494, 1271, 12205, 11858, 24711, 653, 3435, 95819, 12376, 236768, 107, 236772, 5213, 66078, 878, 66515, 236743, 236800, 236771, 236771, 50054, 568, 78353, 3571, 3835, 236764, 2440, 2653, 4009, 12606, 236768, 107, 236772, 5213, 13149, 202571, 66515, 128728, 5213, 13238, 1018, 568, 22468, 36700, 8429, 236786, 7320, 43705, 23948, 236768, 107, 236772, 5213, 51164, 66515, 113452, 5213, 21550, 1018, 573, 15020, 107, 236772, 5213, 6717, 66515, 23531, 840, 164491, 108, 10354, 9533, 76374, 236787, 107, 236772, 5213, 63449, 66515, 138, 107, 138, 236772, 7660, 63510, 5086, 834, 2793, 568, 41875, 573, 5103, 531, 1722, 236786, 23788, 236768, 138, 107, 138, 236772, 106237, 2263, 36787, 6317, 568, 7341, 236751, 607, 173699, 20623, 48486, 9935, 236768, 138, 107, 138, 236772, 80387, 11858, 41954, 568, 658, 878, 236786, 26377, 1451, 10128, 6330, 5056, 236768, 138, 108, 236772, 5213, 10085, 66515, 138, 107, 138, 236772, 236743, 236770, 236764, 236778, 236771, 236771, 3068, 5886, 2473, 3600, 13128, 36989, 653, 3435, 27644, 13682, 568, 553, 3203, 742, 531, 16807, 951, 6330, 59345, 12160, 236768, 138, 107, 138, 236772, 2301, 9813, 26395, 19455, 3847, 528, 1262, 568, 20774, 1063, 2883, 3325, 236786, 18308, 236768, 108, 10354, 111506, 236787, 138, 107, 1018, 5903, 899, 236759, 3848, 1731, 236761, 854, 1018, 29646, 506, 1791, 7002, 1534, 145867, 236764, 2263, 36787, 236764, 532, 15830, 236761, 5978, 506, 1494, 5886, 1527, 62096, 496, 3823, 27644, 2426, 236764, 625, 236858, 236751, 4547, 506, 32879, 5086, 573, 822, 15583, 4688, 7805, 236761, 138, 108, 2859, 611, 236858, 500, 10099, 1003, 506, 11858, 5886, 5542, 236764, 692, 1451, 76902, 5213, 5903, 899, 236759, 3848, 7868, 3301, 236761, 854, 1018, 568, 1179, 8525, 1082, 3863, 12033, 3835, 236768, 653, 11327, 24277, 1133, 5213, 5903, 899, 236752, 5555, 1099, 236761, 854, 1018, 568, 236752, 5555, 1099, 578, 15583, 160143, 769, 2900, 1093, 611, 1133, 531, 776, 2148, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 16329, 496, 8610, 573, 496, 154213, 2203, 4317, 236761, 3551, 53276, 6950, 623, 5903, 899, 5168, 12033, 236761, 854, 236775, 2473, 577, 2487, 753, 1451, 611, 18840, 600, 8610, 236789, 236751, 19455, 1343, 822, 6436, 236881, 564, 236789, 236757, 6972, 1003, 6250, 496, 1944, 3489, 7805, 573, 2401, 15583, 4688, 840, 1461, 531, 1281, 768, 506, 8610, 236789, 236751, 4083, 2473, 4208, 2432, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 5903, 899, 5168, 12033, 236761, 854, 827, 623, 19645, 236779, 3119, 1083, 236743, 236770, 236828, 236764, 623, 42098, 236779, 26377, 236779, 2861, 1083, 236743, 236770, 236764, 623, 658, 878, 236779, 2861, 1083, 236743, 236770, 236810, 236771, 236764, 623, 56905, 236779, 4818, 1083, 623, 18700, 827, 623, 4818, 1083, 623, 5034, 827, 623, 5455, 236779, 79082, 8562, 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, 3671, 573, 5213, 5903, 899, 5168, 12033, 236761, 854, 66515, 108, 236772, 5213, 31212, 37598, 66515, 236743, 236770, 236828, 7579, 568, 174991, 1440, 840, 20626, 573, 496, 36989, 1960, 236768, 107, 236772, 5213, 53666, 16234, 66515, 236743, 236770, 9941, 6235, 528, 4083, 107, 236772, 5213, 31335, 44234, 878, 66515, 236743, 236770, 236810, 236771, 2558, 42298, 50054, 107, 236772, 5213, 51164, 66515, 113452, 29980, 5213, 18700, 1018, 573, 15020, 107, 236772, 5213, 6717, 66515, 23531, 8610, 568, 2217, 44911, 653, 22235, 236768, 107, 236772, 5213, 9008, 54751, 8562, 66515, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 108, 2542, 822, 15583, 4688, 7805, 236764, 672, 8610, 7412, 30705, 236761, 669, 2708, 3068, 5886, 1527, 12205, 625, 18116, 236789, 236745, 1010, 18677, 38633, 236764, 532, 506, 15830, 4981, 44898, 611, 1451, 6818, 625, 236761, 669, 236743, 236770, 236810, 236771, 42298, 2473, 10128, 1070, 6330, 3399, 2142, 528, 154213, 5699, 236761, 21284, 611, 1133, 786, 531, 2426, 1027, 1032, 26104, 618, 24277, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2426, 5213, 5903, 899, 236759, 3848, 7868, 3301, 236761, 854, 1018, 2148, 236881, 1030, 5072, 919, 3530, 531, 1041, 15583, 4688, 4317, 236761, 6542, 236764, 7463, 1385, 657, 5213, 5168, 12033, 70160, 20764, 236761, 854, 1018, 531, 1460, 768, 1724, 659, 2487, 236761, 564, 1461, 531, 10769, 19455, 1680, 32271, 753, 20532, 5618, 2473, 577, 2480, 573, 26395, 236764, 840, 564, 1537, 236789, 236745, 1461, 531, 8321, 990, 580, 26104, 607, 191399, 54949, 236761, 3551, 53276, 6950, 173699, 236789, 236751, 20623, 7088, 1161, 3361, 48486, 9935, 236764, 834, 2263, 36787, 11949, 2311, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 5903, 899, 236759, 3848, 7868, 3301, 236761, 854, 827, 623, 19645, 236779, 3119, 1083, 236743, 236778, 236771, 236764, 623, 42098, 236779, 26377, 1083, 236743, 236800, 236764, 623, 658, 878, 1083, 236743, 236770, 236810, 236771, 236764, 623, 56905, 1083, 1847, 236764, 623, 6047, 236779, 500, 113458, 1083, 236743, 236771, 236761, 236828, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 5168, 12033, 70160, 20764, 236761, 854, 827, 623, 28263, 1083, 3714, 19645, 236779, 3119, 1083, 236743, 236778, 236800, 236764, 623, 42098, 236779, 26377, 1083, 3714, 6725, 236779, 26377, 1083, 236743, 236770, 236778, 236764, 623, 5455, 236779, 39654, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236828, 236772, 236770, 236810, 827, 623, 18553, 236779, 39654, 236779, 9707, 1083, 6610, 236778, 236764, 236812, 236810, 236771, 23179, 623, 658, 878, 1083, 3714, 6725, 236779, 658, 878, 1083, 236743, 236832, 236828, 236764, 623, 43852, 236779, 58043, 1083, 10955, 236770, 236778, 236908, 13822, 827, 623, 30182, 1083, 11058, 17470, 215265, 236761, 854, 827, 623, 1437, 595, 787, 236761, 854, 827, 623, 70160, 12392, 236761, 854, 152254, 623, 104162, 236779, 29263, 1083, 3714, 19645, 236779, 84885, 1083, 236743, 236812, 236778, 236764, 623, 1942, 2883, 236779, 13330, 1083, 623, 166920, 827, 623, 42999, 236779, 15080, 1013, 1083, 11058, 5168, 12033, 827, 623, 70160, 4688, 827, 623, 123865, 15583, 152254, 623, 18308, 236779, 4256, 1083, 3714, 163580, 8795, 236779, 13692, 1083, 2416, 236764, 623, 67299, 236779, 18308, 1083, 623, 32631, 827, 623, 676, 1083, 623, 236770, 236778, 1518, 23179, 623, 6047, 236779, 500, 113458, 1083, 3714, 234863, 236779, 3123, 1083, 11058, 176122, 827, 623, 95124, 8429, 14255, 623, 216398, 236779, 41427, 1083, 11058, 7320, 43705, 827, 623, 12033, 20623, 14255, 623, 8318, 1083, 236743, 236828, 236761, 236770, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9960, 529, 506, 1156, 26104, 236787, 108, 1018, 236770, 236761, 16109, 899, 236759, 3848, 7868, 3301, 236761, 854, 1018, 138, 107, 236772, 5213, 31212, 37598, 66515, 236743, 236778, 236771, 7579, 138, 107, 236772, 5213, 53666, 16234, 66515, 236743, 236800, 2558, 138, 107, 236772, 5213, 66078, 878, 66515, 236743, 236770, 236810, 236771, 2558, 568, 45258, 7003, 236768, 138, 107, 236772, 5213, 51164, 66515, 113452, 18326, 138, 107, 236772, 5213, 13149, 202571, 66515, 236743, 236828, 236810, 236908, 568, 22468, 36700, 8429, 236786, 7320, 43705, 23948, 236768, 138, 107, 236772, 5213, 63449, 66515, 1705, 8525, 236764, 2487, 236764, 3188, 2263, 26395, 3435, 138, 107, 236772, 5213, 10085, 66515, 19159, 11858, 1262, 138, 108, 1018, 236778, 236761, 3863, 12033, 70160, 20764, 236761, 854, 1018, 138, 107, 236772, 5213, 31212, 37598, 66515, 236743, 236778, 236800, 7579, 138, 107, 236772, 5213, 53666, 16234, 66515, 236743, 236770, 236778, 2558, 6131, 236778, 236764, 236812, 236810, 236771, 34561, 3385, 236768, 138, 107, 236772, 5213, 66078, 878, 66515, 236743, 236832, 236828, 2558, 568, 236770, 236778, 236908, 13822, 3877, 236764, 2440, 42298, 528, 808, 29235, 177401, 30237, 808, 818, 169462, 30237, 532, 808, 77259, 4109, 17616, 138, 107, 236772, 5213, 89327, 116589, 66515, 49822, 19430, 236743, 236812, 236778, 236764, 26867, 573, 623, 5168, 12033, 2098, 623, 70160, 4688, 2098, 532, 623, 123865, 15583, 236775, 138, 107, 236772, 5213, 16146, 66515, 236743, 236770, 236778, 1518, 2255, 236764, 951, 41492, 4588, 236764, 2752, 46105, 138, 107, 236772, 5213, 13149, 202571, 66515, 236743, 236828, 236761, 236770, 236786, 236770, 236771, 568, 176122, 236786, 95124, 8429, 23948, 236764, 173699, 20623, 30154, 236768, 138, 107, 236772, 5213, 63449, 66515, 102323, 9747, 236764, 60194, 31097, 236764, 36989, 236772, 15396, 30154, 138, 107, 236772, 5213, 10085, 66515, 102896, 1463, 236764, 919, 11162, 102597, 4083, 138, 108, 1018, 211199, 66515, 138, 107, 236772, 5213, 24852, 16109, 899, 236759, 3848, 7868, 3301, 236761, 854, 1018, 768, 611, 56856, 496, 20532, 236764, 2487, 8610, 607, 3188, 2263, 36787, 532, 18661, 11858, 31094, 236761, 138, 107, 236772, 5213, 24852, 3863, 12033, 70160, 20764, 236761, 854, 1018, 768, 611, 1461, 614, 6697, 8610, 607, 36989, 26395, 47551, 532, 6730, 4009, 42298, 236764, 9785, 1061, 3861, 236761, 138, 108, 38786, 611, 1133, 531, 11327, 24277, 607, 20532, 25565, 568, 236744, 236761, 236759, 1126, 623, 5903, 899, 236759, 3848, 1731, 236761, 854, 1373, 653, 59638, 822, 13138, 3342, 236881, 106, 107, 105, 2364, 107, 6845, 5213, 5903, 899, 236759, 3848, 1731, 236761, 854, 1018, 2148, 236761, 1637, 625, 236789, 236751, 2487, 607, 16279, 2263, 36787, 236764, 625, 2473, 7002, 145867, 532, 36700, 8429, 23948, 2480, 1082, 506, 3496, 236761, 564, 1461, 2613, 600, 11906, 6638, 531, 506, 2433, 840, 5889, 236789, 236745, 496, 193104, 573, 5103, 531, 1722, 236761, 3792, 786, 1281, 506, 19455, 753, 768, 625, 236789, 236751, 711, 30705, 236764, 692, 236789, 859, 10059, 1063, 531, 506, 3863, 12033, 3835, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19645, 1083, 623, 5903, 899, 236759, 3848, 1731, 236761, 854, 827, 623, 19645, 236779, 3119, 1083, 236743, 236770, 236810, 236764, 623, 42098, 236779, 26377, 1083, 236743, 236770, 236778, 236771, 236771, 236764, 623, 658, 878, 1083, 236743, 236800, 236771, 236771, 236764, 623, 6047, 236779, 500, 113458, 1083, 623, 11480, 827, 623, 56905, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 3671, 573, 5213, 5903, 899, 236759, 3848, 1731, 236761, 854, 66515, 108, 236772, 5213, 31212, 37598, 66515, 236743, 236770, 236810, 7579, 568, 63914, 573, 30569, 2109, 532, 26395, 236768, 107, 236772, 5213, 53666, 16234, 66515, 236743, 236770, 236764, 236778, 236771, 236771, 2558, 568, 602, 47896, 1494, 1271, 12205, 11858, 24711, 653, 3435, 95819, 12376, 236768, 107, 236772, 5213, 66078, 878, 66515, 236743, 236800, 236771, 236771, 50054, 568, 78353, 3571, 3835, 236764, 2440, 2653, 4009, 12606, 236768, 107, 236772, 5213, 13149, 202571, 66515, 128728, 5213, 13238, 1018, 568, 22468, 36700, 8429, 236786, 7320, 43705, 23948, 236768, 107, 236772, 5213, 51164, 66515, 113452, 5213, 21550, 1018, 573, 15020, 107, 236772, 5213, 6717, 66515, 23531, 840, 164491, 108, 10354, 9533, 76374, 236787, 107, 236772, 5213, 63449, 66515, 138, 107, 138, 236772, 7660, 63510, 5086, 834, 2793, 568, 41875, 573, 5103, 531, 1722, 236786, 23788, 236768, 138, 107, 138, 236772, 106237, 2263, 36787, 6317, 568, 7341, 236751, 607, 173699, 20623, 48486, 9935, 236768, 138, 107, 138, 236772, 80387, 11858, 41954, 568, 658, 878, 236786, 26377, 1451, 10128, 6330, 5056, 236768, 138, 108, 236772, 5213, 10085, 66515, 138, 107, 138, 236772, 236743, 236770, 236764, 236778, 236771, 236771, 3068, 5886, 2473, 3600, 13128, 36989, 653, 3435, 27644, 13682, 568, 553, 3203, 742, 531, 16807, 951, 6330, 59345, 12160, 236768, 138, 107, 138, 236772, 2301, 9813, 26395, 19455, 3847, 528, 1262, 568, 20774, 1063, 2883, 3325, 236786, 18308, 236768, 108, 10354, 111506, 236787, 138, 107, 1018, 5903, 899, 236759, 3848, 1731, 236761, 854, 1018, 29646, 506, 1791, 7002, 1534, 145867, 236764, 2263, 36787, 236764, 532, 15830, 236761, 5978, 506, 1494, 5886, 1527, 62096, 496, 3823, 27644, 2426, 236764, 625, 236858, 236751, 4547, 506, 32879, 5086, 573, 822, 15583, 4688, 7805, 236761, 138, 108, 2859, 611, 236858, 500, 10099, 1003, 506, 11858, 5886, 5542, 236764, 692, 1451, 76902, 5213, 5903, 899, 236759, 3848, 7868, 3301, 236761, 854, 1018, 568, 1179, 8525, 1082, 3863, 12033, 3835, 236768, 653, 11327, 24277, 1133, 5213, 5903, 899, 236752, 5555, 1099, 236761, 854, 1018, 568, 236752, 5555, 1099, 578, 15583, 160143, 769, 2900, 1093, 611, 1133, 531, 776, 2148, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 6827, 993, 236789, 236751, 496, 192210, 14680, 13922, 528, 193396, 672, 9735, 236761, 28344, 611, 2426, 506, 6524, 4668, 1003, 625, 532, 1299, 1586, 496, 15028, 573, 40778, 6355, 521, 736, 3190, 600, 236789, 236751, 16939, 993, 236881, 564, 1461, 531, 2056, 3043, 625, 657, 2033, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 1083, 78493, 3250, 1083, 623, 236780, 1196, 602, 15467, 528, 193396, 751, 8523, 5357, 1174, 77623, 827, 623, 6265, 1083, 623, 168702, 161901, 7074, 9186, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236825, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 12959, 236770, 827, 623, 6011, 1083, 623, 119036, 659, 4275, 531, 8835, 506, 7384, 192210, 14680, 528, 193396, 236764, 18482, 3892, 4252, 236764, 24636, 27249, 236764, 532, 9226, 30427, 221476, 3714, 3250, 1083, 623, 102837, 13815, 621, 236756, 236771, 236771, 236755, 236819, 52031, 736, 236785, 236756, 236771, 236771, 236744, 236819, 236744, 52258, 52971, 657, 15467, 827, 623, 6265, 1083, 623, 147261, 14073, 18245, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 12959, 236778, 827, 623, 6011, 1083, 623, 13149, 56049, 659, 39516, 6672, 40778, 621, 236756, 236771, 236771, 236744, 236819, 52031, 736, 236785, 236756, 236771, 236771, 236744, 236819, 236744, 23642, 236764, 9722, 40303, 496, 6584, 531, 3449, 506, 31156, 529, 672, 9760, 13415, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 3250, 1083, 623, 102837, 13815, 621, 236756, 236771, 236771, 236755, 236819, 52031, 736, 236785, 236756, 236771, 236771, 236744, 236819, 236744, 827, 623, 230586, 1083, 623, 236780, 1196, 602, 827, 623, 77095, 1083, 11058, 236770, 25064, 40778, 236764, 98423, 532, 19784, 1718, 827, 623, 236770, 236786, 236778, 8578, 6770, 160979, 11018, 827, 623, 236770, 236786, 236778, 8578, 784, 236772, 48009, 18763, 827, 623, 236770, 7860, 32159, 236764, 138748, 827, 623, 236770, 3826, 19974, 22300, 236764, 138748, 827, 623, 236778, 94580, 117625, 236764, 138748, 827, 623, 236778, 104582, 29508, 236764, 113033, 827, 623, 236770, 568, 236770, 236812, 236761, 236810, 16109, 236768, 740, 138748, 29979, 827, 623, 236778, 27370, 37987, 2862, 827, 623, 236770, 72881, 214274, 22300, 827, 623, 236770, 72881, 19555, 120602, 827, 623, 236778, 15158, 6895, 827, 623, 69654, 532, 2764, 22300, 531, 11613, 827, 623, 22959, 524, 2173, 12878, 573, 12284, 14255, 623, 25438, 1083, 11058, 236792, 3302, 11018, 528, 496, 2455, 2197, 1024, 7860, 5387, 236761, 75749, 528, 18763, 531, 1183, 496, 169817, 236764, 14049, 3097, 13935, 8864, 10498, 623, 3218, 32159, 236764, 19974, 22300, 236764, 532, 94580, 236793, 3944, 3097, 99679, 10498, 623, 894, 583, 528, 29508, 236764, 138748, 29979, 236764, 37987, 2862, 236764, 214274, 236764, 120602, 236764, 532, 15158, 6895, 236761, 4508, 1042, 573, 236743, 236770, 236810, 4310, 10498, 623, 3218, 40778, 532, 3944, 3097, 9514, 532, 67885, 236764, 1003, 236743, 236810, 4310, 10498, 623, 49385, 607, 9551, 532, 22300, 236761, 3725, 6307, 15158, 6895, 532, 7298, 1024, 12878, 62192, 623, 91963, 236779, 2289, 1083, 623, 236778, 236771, 4310, 827, 623, 14905, 236779, 2289, 1083, 623, 236778, 236810, 4310, 827, 623, 102487, 236779, 2086, 1083, 623, 236812, 236775, 165075, 106, 107, 105, 4368, 107, 818, 6524, 4668, 44898, 600, 506, 5213, 236780, 1196, 602, 15467, 528, 193396, 1018, 568, 52167, 672, 9735, 236768, 4065, 496, 3892, 29528, 529, 6672, 40778, 6355, 521, 736, 3190, 684, 2263, 56049, 236888, 204906, 5715, 236789, 236751, 506, 24636, 15028, 901, 236789, 500, 58442, 236764, 4011, 573, 182834, 657, 2033, 236787, 108, 7243, 108, 10354, 236743, 251470, 5213, 102837, 13815, 36602, 521, 736, 3190, 568, 236780, 1196, 602, 21072, 62902, 138, 107, 1018, 36286, 990, 53121, 236743, 236778, 236771, 46205, 1109, 5213, 22959, 990, 53121, 236743, 236778, 236810, 46205, 1109, 5213, 10773, 507, 53121, 236743, 236812, 138, 108, 2595, 236743, 248065, 5213, 64690, 1018, 138, 107, 236772, 236743, 236770, 25064, 40778, 236764, 98423, 532, 19784, 1718, 138, 107, 236772, 47041, 8578, 6770, 160979, 11018, 138, 107, 236772, 47041, 8578, 784, 236772, 48009, 18763, 138, 107, 236772, 236743, 236770, 7860, 32159, 236764, 138748, 138, 107, 236772, 236743, 236770, 3826, 19974, 22300, 236764, 138748, 138, 107, 236772, 236743, 236778, 94580, 117625, 236764, 138748, 138, 107, 236772, 236743, 236778, 104582, 29508, 236764, 113033, 138, 107, 236772, 236743, 236770, 568, 236770, 236812, 236761, 236810, 16109, 236768, 740, 138748, 29979, 138, 107, 236772, 236743, 236778, 27370, 37987, 2862, 138, 107, 236772, 236743, 236770, 72881, 214274, 22300, 138, 107, 236772, 236743, 236770, 72881, 19555, 120602, 138, 107, 236772, 236743, 236778, 15158, 6895, 138, 107, 236772, 28501, 532, 2764, 22300, 531, 11613, 138, 107, 236772, 9940, 524, 2173, 12878, 568, 1708, 12284, 236768, 138, 108, 2595, 236743, 243874, 237243, 246410, 5213, 59881, 1018, 138, 107, 236770, 236761, 145264, 11018, 528, 496, 2455, 2197, 1024, 7860, 5387, 236761, 75749, 528, 18763, 531, 1183, 496, 169817, 236764, 14049, 3097, 13935, 8864, 236761, 138, 107, 236778, 236761, 4140, 32159, 236764, 19974, 22300, 236764, 532, 94580, 236793, 3944, 3097, 99679, 236761, 138, 107, 236800, 236761, 75749, 528, 29508, 236764, 138748, 29979, 236764, 37987, 2862, 236764, 214274, 236764, 120602, 236764, 532, 15158, 6895, 236761, 4508, 1042, 573, 236743, 236770, 236810, 4310, 236761, 138, 107, 236812, 236761, 4140, 40778, 532, 3944, 3097, 9514, 532, 67885, 75720, 236810, 4310, 769, 138, 107, 236810, 236761, 20273, 607, 9551, 532, 22300, 236761, 3725, 6307, 15158, 6895, 532, 7298, 1024, 12878, 236761, 138, 108, 7243, 108, 236813, 236743, 244549, 808, 40855, 236787, 1701, 614, 4481, 192210, 12261, 236764, 1138, 496, 31498, 529, 3425, 16510, 653, 4481, 214274, 236888, 236829, 138, 107, 236813, 236743, 242507, 808, 5825, 236787, 15467, 24714, 15028, 7659, 684, 26291, 14073, 18245, 26882, 1399, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 12959, 236778, 11287, 236829, 108, 53132, 14049, 672, 11613, 529, 33240, 236888, 3792, 786, 1281, 768, 611, 1202, 1601, 39919, 22292, 653, 100939, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 6827, 993, 236789, 236751, 496, 192210, 14680, 13922, 528, 193396, 672, 9735, 236761, 28344, 611, 2426, 506, 6524, 4668, 1003, 625, 532, 1299, 1586, 496, 15028, 573, 40778, 6355, 521, 736, 3190, 600, 236789, 236751, 16939, 993, 236881, 564, 1461, 531, 2056, 3043, 625, 657, 2033, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12959, 1083, 78493, 3250, 1083, 623, 236780, 1196, 602, 15467, 528, 193396, 751, 8523, 5357, 1174, 77623, 827, 623, 6265, 1083, 623, 168702, 161901, 7074, 9186, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236825, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 12959, 236770, 827, 623, 6011, 1083, 623, 119036, 659, 4275, 531, 8835, 506, 7384, 192210, 14680, 528, 193396, 236764, 18482, 3892, 4252, 236764, 24636, 27249, 236764, 532, 9226, 30427, 221476, 3714, 3250, 1083, 623, 102837, 13815, 621, 236756, 236771, 236771, 236755, 236819, 52031, 736, 236785, 236756, 236771, 236771, 236744, 236819, 236744, 52258, 52971, 657, 15467, 827, 623, 6265, 1083, 623, 147261, 14073, 18245, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 12959, 236778, 827, 623, 6011, 1083, 623, 13149, 56049, 659, 39516, 6672, 40778, 621, 236756, 236771, 236771, 236744, 236819, 52031, 736, 236785, 236756, 236771, 236771, 236744, 236819, 236744, 23642, 236764, 9722, 40303, 496, 6584, 531, 3449, 506, 31156, 529, 672, 9760, 13415, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 3250, 1083, 623, 102837, 13815, 621, 236756, 236771, 236771, 236755, 236819, 52031, 736, 236785, 236756, 236771, 236771, 236744, 236819, 236744, 827, 623, 230586, 1083, 623, 236780, 1196, 602, 827, 623, 77095, 1083, 11058, 236770, 25064, 40778, 236764, 98423, 532, 19784, 1718, 827, 623, 236770, 236786, 236778, 8578, 6770, 160979, 11018, 827, 623, 236770, 236786, 236778, 8578, 784, 236772, 48009, 18763, 827, 623, 236770, 7860, 32159, 236764, 138748, 827, 623, 236770, 3826, 19974, 22300, 236764, 138748, 827, 623, 236778, 94580, 117625, 236764, 138748, 827, 623, 236778, 104582, 29508, 236764, 113033, 827, 623, 236770, 568, 236770, 236812, 236761, 236810, 16109, 236768, 740, 138748, 29979, 827, 623, 236778, 27370, 37987, 2862, 827, 623, 236770, 72881, 214274, 22300, 827, 623, 236770, 72881, 19555, 120602, 827, 623, 236778, 15158, 6895, 827, 623, 69654, 532, 2764, 22300, 531, 11613, 827, 623, 22959, 524, 2173, 12878, 573, 12284, 14255, 623, 25438, 1083, 11058, 236792, 3302, 11018, 528, 496, 2455, 2197, 1024, 7860, 5387, 236761, 75749, 528, 18763, 531, 1183, 496, 169817, 236764, 14049, 3097, 13935, 8864, 10498, 623, 3218, 32159, 236764, 19974, 22300, 236764, 532, 94580, 236793, 3944, 3097, 99679, 10498, 623, 894, 583, 528, 29508, 236764, 138748, 29979, 236764, 37987, 2862, 236764, 214274, 236764, 120602, 236764, 532, 15158, 6895, 236761, 4508, 1042, 573, 236743, 236770, 236810, 4310, 10498, 623, 3218, 40778, 532, 3944, 3097, 9514, 532, 67885, 236764, 1003, 236743, 236810, 4310, 10498, 623, 49385, 607, 9551, 532, 22300, 236761, 3725, 6307, 15158, 6895, 532, 7298, 1024, 12878, 62192, 623, 91963, 236779, 2289, 1083, 623, 236778, 236771, 4310, 827, 623, 14905, 236779, 2289, 1083, 623, 236778, 236810, 4310, 827, 623, 102487, 236779, 2086, 1083, 623, 236812, 236775, 165075, 106, 107, 105, 4368, 107, 818, 6524, 4668, 44898, 600, 506, 5213, 236780, 1196, 602, 15467, 528, 193396, 1018, 568, 52167, 672, 9735, 236768, 4065, 496, 3892, 29528, 529, 6672, 40778, 6355, 521, 736, 3190, 684, 2263, 56049, 236888, 204906, 5715, 236789, 236751, 506, 24636, 15028, 901, 236789, 500, 58442, 236764, 4011, 573, 182834, 657, 2033, 236787, 108, 7243, 108, 10354, 236743, 251470, 5213, 102837, 13815, 36602, 521, 736, 3190, 568, 236780, 1196, 602, 21072, 62902, 138, 107, 1018, 36286, 990, 53121, 236743, 236778, 236771, 46205, 1109, 5213, 22959, 990, 53121, 236743, 236778, 236810, 46205, 1109, 5213, 10773, 507, 53121, 236743, 236812, 138, 108, 2595, 236743, 248065, 5213, 64690, 1018, 138, 107, 236772, 236743, 236770, 25064, 40778, 236764, 98423, 532, 19784, 1718, 138, 107, 236772, 47041, 8578, 6770, 160979, 11018, 138, 107, 236772, 47041, 8578, 784, 236772, 48009, 18763, 138, 107, 236772, 236743, 236770, 7860, 32159, 236764, 138748, 138, 107, 236772, 236743, 236770, 3826, 19974, 22300, 236764, 138748, 138, 107, 236772, 236743, 236778, 94580, 117625, 236764, 138748, 138, 107, 236772, 236743, 236778, 104582, 29508, 236764, 113033, 138, 107, 236772, 236743, 236770, 568, 236770, 236812, 236761, 236810, 16109, 236768, 740, 138748, 29979, 138, 107, 236772, 236743, 236778, 27370, 37987, 2862, 138, 107, 236772, 236743, 236770, 72881, 214274, 22300, 138, 107, 236772, 236743, 236770, 72881, 19555, 120602, 138, 107, 236772, 236743, 236778, 15158, 6895, 138, 107, 236772, 28501, 532, 2764, 22300, 531, 11613, 138, 107, 236772, 9940, 524, 2173, 12878, 568, 1708, 12284, 236768, 138, 108, 2595, 236743, 243874, 237243, 246410, 5213, 59881, 1018, 138, 107, 236770, 236761, 145264, 11018, 528, 496, 2455, 2197, 1024, 7860, 5387, 236761, 75749, 528, 18763, 531, 1183, 496, 169817, 236764, 14049, 3097, 13935, 8864, 236761, 138, 107, 236778, 236761, 4140, 32159, 236764, 19974, 22300, 236764, 532, 94580, 236793, 3944, 3097, 99679, 236761, 138, 107, 236800, 236761, 75749, 528, 29508, 236764, 138748, 29979, 236764, 37987, 2862, 236764, 214274, 236764, 120602, 236764, 532, 15158, 6895, 236761, 4508, 1042, 573, 236743, 236770, 236810, 4310, 236761, 138, 107, 236812, 236761, 4140, 40778, 532, 3944, 3097, 9514, 532, 67885, 75720, 236810, 4310, 769, 138, 107, 236810, 236761, 20273, 607, 9551, 532, 22300, 236761, 3725, 6307, 15158, 6895, 532, 7298, 1024, 12878, 236761, 138, 108, 7243, 108, 236813, 236743, 244549, 808, 40855, 236787, 1701, 614, 4481, 192210, 12261, 236764, 1138, 496, 31498, 529, 3425, 16510, 653, 4481, 214274, 236888, 236829, 138, 107, 236813, 236743, 242507, 808, 5825, 236787, 15467, 24714, 15028, 7659, 684, 26291, 14073, 18245, 26882, 1399, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 12959, 236778, 11287, 236829, 108, 53132, 14049, 672, 11613, 529, 33240, 236888, 3792, 786, 1281, 768, 611, 1202, 1601, 39919, 22292, 653, 100939, 236761, 103453, 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, 4875, 531, 1502, 496, 1944, 29038, 7972, 573, 1041, 14049, 236764, 840, 564, 1537, 236789, 236745, 1281, 1041, 3732, 2651, 1583, 10202, 236761, 3199, 611, 2426, 1144, 10202, 564, 236789, 236757, 528, 532, 1586, 1070, 14942, 180570, 1298, 564, 740, 3717, 32070, 600, 1093, 2171, 1388, 1590, 236881, 564, 3892, 528, 196917, 5168, 236764, 8253, 236761, 106, 107, 105, 4368, 107, 2021, 6054, 822, 3732, 2651, 1583, 10202, 532, 1586, 14942, 180570, 236764, 564, 1202, 822, 3530, 65911, 3393, 573, 196917, 5168, 236764, 8253, 236761, 669, 72304, 15748, 13573, 1583, 27773, 5904, 7087, 496, 65911, 3393, 531, 2847, 11459, 1938, 236761, 28344, 611, 5091, 4024, 822, 4453, 65911, 3393, 236881, 9920, 564, 735, 600, 236764, 564, 236858, 859, 2426, 822, 10202, 532, 1299, 1601, 611, 29888, 180570, 14942, 236888, 106, 107, 105, 2364, 107, 12932, 1447, 236764, 1041, 65911, 3393, 563, 236743, 236819, 236771, 236800, 236771, 236770, 236761, 11017, 573, 16329, 600, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15595, 1583, 236779, 13873, 1083, 623, 236770, 236771, 236763, 827, 623, 15905, 3970, 1083, 623, 236819, 236771, 236800, 236771, 236770, 827, 623, 7125, 1083, 623, 21115, 519, 5168, 236764, 8253, 25938, 106, 107, 105, 4368, 107, 11069, 2651, 1583, 10202, 563, 5213, 236770, 236771, 236763, 125546, 837, 563, 1822, 573, 6730, 32070, 1133, 46590, 236764, 85048, 236764, 120602, 236764, 532, 140335, 568, 712, 40360, 528, 20874, 236743, 236819, 236772, 236770, 236770, 769, 138, 108, 2021, 1586, 14942, 180570, 600, 6081, 1239, 6485, 236764, 564, 236789, 859, 1202, 822, 5213, 67655, 40899, 532, 50550, 15375, 84750, 1599, 740, 5583, 974, 1239, 684, 236787, 138, 107, 236770, 236761, 41910, 6475, 39247, 580, 822, 5154, 653, 5194, 236761, 138, 107, 236778, 236761, 190153, 822, 3421, 568, 236744, 236761, 236759, 1126, 623, 21115, 519, 5168, 236764, 8253, 236743, 236819, 236771, 236800, 236771, 236770, 4248, 138, 107, 236800, 236761, 12488, 236772, 200109, 822, 4563, 580, 506, 4187, 16130, 4864, 623, 3689, 236789, 236751, 1590, 7462, 16130, 506, 15375, 795, 3196, 657, 506, 5944, 236761, 138, 108, 9366, 4024, 506, 40899, 532, 50550, 568, 236744, 236761, 236759, 1126, 2165, 236800, 236800, 236761, 236819, 236810, 236810, 236832, 236764, 753, 236770, 236770, 236828, 236761, 236800, 236810, 236825, 236819, 59740, 532, 564, 236858, 859, 6842, 1586, 180570, 2351, 496, 236743, 236770, 236771, 236772, 33432, 12425, 236888, 236743, 243536, 106, 107, 105, 2364, 107, 236777, 6976, 625, 872, 580, 6475, 39247, 236761, 3551, 15375, 659, 236743, 236800, 236800, 236761, 236819, 236810, 236810, 236832, 236764, 753, 236770, 236770, 236828, 236761, 236800, 236810, 236825, 236819, 236761, 11017, 573, 506, 1601, 236888, 178829, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35105, 1083, 78493, 1201, 1083, 623, 21115, 519, 5168, 103215, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 7086, 842, 236764, 196917, 5168, 236764, 8253, 236743, 236819, 236771, 236800, 236771, 236770, 827, 623, 17178, 1083, 236743, 236771, 236761, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 5275, 1083, 33865, 236800, 236770, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 827, 623, 24392, 1083, 623, 10505, 236772, 45533, 236743, 236819, 1936, 236772, 236825, 10192, 236764, 7718, 236743, 236770, 236771, 1936, 236772, 236810, 10192, 23179, 3714, 1201, 1083, 623, 17224, 116030, 19871, 6022, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 15748, 18977, 236764, 7383, 13245, 236764, 8253, 236743, 236819, 236771, 236771, 236770, 236770, 827, 623, 17178, 1083, 236743, 236800, 236761, 236778, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 5275, 1083, 33865, 236800, 236778, 236800, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 827, 623, 24392, 1083, 623, 42362, 236743, 236828, 1936, 236772, 236832, 10192, 23179, 3714, 1201, 1083, 623, 193082, 39980, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 94025, 25692, 236764, 125421, 236764, 8253, 236743, 236819, 236771, 236778, 236810, 236771, 827, 623, 17178, 1083, 236743, 236778, 236761, 236770, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 5275, 1083, 33865, 236812, 236778, 236812, 236768, 236743, 236810, 236810, 236810, 236772, 236819, 236771, 236770, 236778, 827, 623, 24392, 1083, 623, 10505, 236772, 110239, 236743, 236819, 1936, 236772, 236832, 10192, 236764, 15872, 236743, 236828, 1936, 236772, 236825, 10192, 236775, 165075, 106, 107, 105, 4368, 107, 20418, 4668, 236888, 18186, 580, 822, 4563, 568, 21115, 519, 5168, 236764, 8253, 236743, 236819, 236771, 236800, 236771, 236770, 236764, 27773, 236743, 236770, 236771, 236763, 779, 1590, 659, 14942, 180570, 1298, 611, 740, 1586, 32070, 4011, 573, 822, 7972, 236787, 108, 7243, 108, 1018, 236770, 236761, 196917, 5168, 103215, 1018, 138, 107, 244343, 236743, 236770, 236778, 236800, 7086, 842, 236764, 196917, 5168, 236764, 8253, 236743, 236819, 236771, 236800, 236771, 236770, 138, 107, 248206, 241862, 238178, 236743, 236771, 236761, 236810, 7635, 3121, 138, 107, 240281, 236743, 236812, 236761, 236810, 1109, 568, 236800, 236770, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 138, 107, 252074, 4325, 236772, 45533, 236743, 236819, 1936, 236772, 236825, 10192, 236764, 7718, 236743, 236770, 236771, 1936, 236772, 236810, 10192, 138, 107, 236829, 23244, 5411, 528, 2263, 6485, 532, 32070, 573, 822, 10022, 236888, 236829, 108, 1018, 236778, 236761, 7086, 116030, 19871, 6022, 1018, 138, 107, 244343, 236743, 236812, 236810, 236825, 15748, 18977, 236764, 7383, 13245, 236764, 8253, 236743, 236819, 236771, 236771, 236770, 236770, 138, 107, 248206, 241862, 238178, 236743, 236800, 236761, 236778, 7635, 3121, 138, 107, 240281, 236743, 236812, 236761, 236778, 1109, 568, 236800, 236778, 236800, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 138, 107, 252074, 18245, 236743, 236828, 1936, 236772, 236832, 10192, 138, 107, 236829, 66868, 6799, 529, 32070, 236764, 2440, 85048, 532, 120602, 9603, 108, 1018, 236800, 236761, 94025, 39980, 1018, 138, 107, 244343, 236743, 236832, 236828, 236819, 94025, 25692, 236764, 125421, 236764, 8253, 236743, 236819, 236771, 236778, 236810, 236771, 138, 107, 248206, 241862, 238178, 236743, 236778, 236761, 236770, 7635, 3121, 138, 107, 240281, 236743, 236812, 236761, 236832, 1109, 568, 236812, 236778, 236812, 236768, 236743, 236810, 236810, 236810, 236772, 236819, 236771, 236770, 236778, 138, 107, 252074, 4325, 236772, 110239, 236743, 236819, 1936, 236772, 236832, 10192, 236764, 15872, 236743, 236828, 1936, 236772, 236825, 10192, 138, 107, 236829, 166997, 29038, 44367, 607, 5756, 236764, 10202, 236772, 33562, 6485, 9603, 108, 7243, 108, 3243, 1239, 180570, 1374, 2862, 32070, 1133, 5213, 10162, 543, 236764, 85048, 236764, 120602, 236764, 532, 140335, 1018, 600, 40360, 528, 27773, 236743, 236770, 236771, 236763, 236761, 20728, 49115, 236888, 236743, 243536, 3792, 786, 1281, 768, 611, 1202, 919, 4889, 653, 1601, 607, 4658, 1663, 236761, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4875, 531, 1502, 496, 1944, 29038, 7972, 573, 1041, 14049, 236764, 840, 564, 1537, 236789, 236745, 1281, 1041, 3732, 2651, 1583, 10202, 236761, 3199, 611, 2426, 1144, 10202, 564, 236789, 236757, 528, 532, 1586, 1070, 14942, 180570, 1298, 564, 740, 3717, 32070, 600, 1093, 2171, 1388, 1590, 236881, 564, 3892, 528, 196917, 5168, 236764, 8253, 236761, 106, 107, 105, 4368, 107, 2021, 6054, 822, 3732, 2651, 1583, 10202, 532, 1586, 14942, 180570, 236764, 564, 1202, 822, 3530, 65911, 3393, 573, 196917, 5168, 236764, 8253, 236761, 669, 72304, 15748, 13573, 1583, 27773, 5904, 7087, 496, 65911, 3393, 531, 2847, 11459, 1938, 236761, 28344, 611, 5091, 4024, 822, 4453, 65911, 3393, 236881, 9920, 564, 735, 600, 236764, 564, 236858, 859, 2426, 822, 10202, 532, 1299, 1601, 611, 29888, 180570, 14942, 236888, 106, 107, 105, 2364, 107, 12932, 1447, 236764, 1041, 65911, 3393, 563, 236743, 236819, 236771, 236800, 236771, 236770, 236761, 11017, 573, 16329, 600, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15595, 1583, 236779, 13873, 1083, 623, 236770, 236771, 236763, 827, 623, 15905, 3970, 1083, 623, 236819, 236771, 236800, 236771, 236770, 827, 623, 7125, 1083, 623, 21115, 519, 5168, 236764, 8253, 25938, 106, 107, 105, 4368, 107, 11069, 2651, 1583, 10202, 563, 5213, 236770, 236771, 236763, 125546, 837, 563, 1822, 573, 6730, 32070, 1133, 46590, 236764, 85048, 236764, 120602, 236764, 532, 140335, 568, 712, 40360, 528, 20874, 236743, 236819, 236772, 236770, 236770, 769, 138, 108, 2021, 1586, 14942, 180570, 600, 6081, 1239, 6485, 236764, 564, 236789, 859, 1202, 822, 5213, 67655, 40899, 532, 50550, 15375, 84750, 1599, 740, 5583, 974, 1239, 684, 236787, 138, 107, 236770, 236761, 41910, 6475, 39247, 580, 822, 5154, 653, 5194, 236761, 138, 107, 236778, 236761, 190153, 822, 3421, 568, 236744, 236761, 236759, 1126, 623, 21115, 519, 5168, 236764, 8253, 236743, 236819, 236771, 236800, 236771, 236770, 4248, 138, 107, 236800, 236761, 12488, 236772, 200109, 822, 4563, 580, 506, 4187, 16130, 4864, 623, 3689, 236789, 236751, 1590, 7462, 16130, 506, 15375, 795, 3196, 657, 506, 5944, 236761, 138, 108, 9366, 4024, 506, 40899, 532, 50550, 568, 236744, 236761, 236759, 1126, 2165, 236800, 236800, 236761, 236819, 236810, 236810, 236832, 236764, 753, 236770, 236770, 236828, 236761, 236800, 236810, 236825, 236819, 59740, 532, 564, 236858, 859, 6842, 1586, 180570, 2351, 496, 236743, 236770, 236771, 236772, 33432, 12425, 236888, 236743, 243536, 106, 107, 105, 2364, 107, 236777, 6976, 625, 872, 580, 6475, 39247, 236761, 3551, 15375, 659, 236743, 236800, 236800, 236761, 236819, 236810, 236810, 236832, 236764, 753, 236770, 236770, 236828, 236761, 236800, 236810, 236825, 236819, 236761, 11017, 573, 506, 1601, 236888, 178829, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 35105, 1083, 78493, 1201, 1083, 623, 21115, 519, 5168, 103215, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 7086, 842, 236764, 196917, 5168, 236764, 8253, 236743, 236819, 236771, 236800, 236771, 236770, 827, 623, 17178, 1083, 236743, 236771, 236761, 236810, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 5275, 1083, 33865, 236800, 236770, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 827, 623, 24392, 1083, 623, 10505, 236772, 45533, 236743, 236819, 1936, 236772, 236825, 10192, 236764, 7718, 236743, 236770, 236771, 1936, 236772, 236810, 10192, 23179, 3714, 1201, 1083, 623, 17224, 116030, 19871, 6022, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 15748, 18977, 236764, 7383, 13245, 236764, 8253, 236743, 236819, 236771, 236771, 236770, 236770, 827, 623, 17178, 1083, 236743, 236800, 236761, 236778, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 5275, 1083, 33865, 236800, 236778, 236800, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 827, 623, 24392, 1083, 623, 42362, 236743, 236828, 1936, 236772, 236832, 10192, 23179, 3714, 1201, 1083, 623, 193082, 39980, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 94025, 25692, 236764, 125421, 236764, 8253, 236743, 236819, 236771, 236778, 236810, 236771, 827, 623, 17178, 1083, 236743, 236778, 236761, 236770, 236764, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 5275, 1083, 33865, 236812, 236778, 236812, 236768, 236743, 236810, 236810, 236810, 236772, 236819, 236771, 236770, 236778, 827, 623, 24392, 1083, 623, 10505, 236772, 110239, 236743, 236819, 1936, 236772, 236832, 10192, 236764, 15872, 236743, 236828, 1936, 236772, 236825, 10192, 236775, 165075, 106, 107, 105, 4368, 107, 20418, 4668, 236888, 18186, 580, 822, 4563, 568, 21115, 519, 5168, 236764, 8253, 236743, 236819, 236771, 236800, 236771, 236770, 236764, 27773, 236743, 236770, 236771, 236763, 779, 1590, 659, 14942, 180570, 1298, 611, 740, 1586, 32070, 4011, 573, 822, 7972, 236787, 108, 7243, 108, 1018, 236770, 236761, 196917, 5168, 103215, 1018, 138, 107, 244343, 236743, 236770, 236778, 236800, 7086, 842, 236764, 196917, 5168, 236764, 8253, 236743, 236819, 236771, 236800, 236771, 236770, 138, 107, 248206, 241862, 238178, 236743, 236771, 236761, 236810, 7635, 3121, 138, 107, 240281, 236743, 236812, 236761, 236810, 1109, 568, 236800, 236770, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 138, 107, 252074, 4325, 236772, 45533, 236743, 236819, 1936, 236772, 236825, 10192, 236764, 7718, 236743, 236770, 236771, 1936, 236772, 236810, 10192, 138, 107, 236829, 23244, 5411, 528, 2263, 6485, 532, 32070, 573, 822, 10022, 236888, 236829, 108, 1018, 236778, 236761, 7086, 116030, 19871, 6022, 1018, 138, 107, 244343, 236743, 236812, 236810, 236825, 15748, 18977, 236764, 7383, 13245, 236764, 8253, 236743, 236819, 236771, 236771, 236770, 236770, 138, 107, 248206, 241862, 238178, 236743, 236800, 236761, 236778, 7635, 3121, 138, 107, 240281, 236743, 236812, 236761, 236778, 1109, 568, 236800, 236778, 236800, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 138, 107, 252074, 18245, 236743, 236828, 1936, 236772, 236832, 10192, 138, 107, 236829, 66868, 6799, 529, 32070, 236764, 2440, 85048, 532, 120602, 9603, 108, 1018, 236800, 236761, 94025, 39980, 1018, 138, 107, 244343, 236743, 236832, 236828, 236819, 94025, 25692, 236764, 125421, 236764, 8253, 236743, 236819, 236771, 236778, 236810, 236771, 138, 107, 248206, 241862, 238178, 236743, 236778, 236761, 236770, 7635, 3121, 138, 107, 240281, 236743, 236812, 236761, 236832, 1109, 568, 236812, 236778, 236812, 236768, 236743, 236810, 236810, 236810, 236772, 236819, 236771, 236770, 236778, 138, 107, 252074, 4325, 236772, 110239, 236743, 236819, 1936, 236772, 236832, 10192, 236764, 15872, 236743, 236828, 1936, 236772, 236825, 10192, 138, 107, 236829, 166997, 29038, 44367, 607, 5756, 236764, 10202, 236772, 33562, 6485, 9603, 108, 7243, 108, 3243, 1239, 180570, 1374, 2862, 32070, 1133, 5213, 10162, 543, 236764, 85048, 236764, 120602, 236764, 532, 140335, 1018, 600, 40360, 528, 27773, 236743, 236770, 236771, 236763, 236761, 20728, 49115, 236888, 236743, 243536, 3792, 786, 1281, 768, 611, 1202, 919, 4889, 653, 1601, 607, 4658, 1663, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 24698, 496, 1944, 1900, 573, 22027, 15003, 532, 96380, 112153, 699, 506, 50731, 44894, 528, 7383, 13245, 236764, 532, 3442, 786, 768, 236743, 236778, 236770, 236771, 236771, 795, 577, 496, 42681, 1051, 236761, 106, 107, 105, 4368, 107, 236777, 3914, 1977, 10400, 573, 71772, 653, 2802, 8398, 24121, 3797, 236764, 834, 564, 3914, 1977, 506, 1900, 573, 22027, 15003, 532, 96380, 112153, 699, 50731, 44894, 236761, 1701, 672, 4209, 236764, 611, 1093, 1202, 531, 1161, 506, 50731, 44894, 4456, 236764, 850, 236764, 653, 3662, 506, 4762, 5467, 236761, 108, 76171, 822, 1855, 2934, 236787, 5213, 236778, 236770, 236771, 236771, 795, 711, 577, 496, 42681, 1051, 99382, 138, 107, 8291, 236858, 236751, 3217, 236787, 138, 107, 236772, 111444, 1518, 659, 69330, 684, 236743, 236812, 236761, 138, 107, 236772, 3153, 236764, 7691, 1518, 568, 5282, 236743, 236778, 236770, 236771, 236771, 236768, 1921, 992, 577, 69330, 684, 236743, 236812, 236771, 236771, 531, 577, 42681, 1518, 236761, 138, 107, 236772, 236743, 236778, 236770, 236771, 236771, 108140, 236743, 236812, 236771, 236771, 578, 236743, 236810, 236761, 236778, 236810, 568, 2217, 614, 11995, 779, 834, 625, 20269, 506, 42681, 236772, 3704, 1594, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 65977, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 24698, 496, 1944, 1900, 573, 22027, 15003, 532, 96380, 112153, 699, 506, 50731, 44894, 528, 7383, 13245, 236764, 532, 3442, 786, 768, 236743, 236778, 236770, 236771, 236771, 795, 577, 496, 42681, 1051, 236761, 106, 107, 105, 4368, 107, 236777, 3914, 1977, 10400, 573, 71772, 653, 2802, 8398, 24121, 3797, 236764, 834, 564, 3914, 1977, 506, 1900, 573, 22027, 15003, 532, 96380, 112153, 699, 50731, 44894, 236761, 1701, 672, 4209, 236764, 611, 1093, 1202, 531, 1161, 506, 50731, 44894, 4456, 236764, 850, 236764, 653, 3662, 506, 4762, 5467, 236761, 108, 76171, 822, 1855, 2934, 236787, 5213, 236778, 236770, 236771, 236771, 795, 711, 577, 496, 42681, 1051, 99382, 138, 107, 8291, 236858, 236751, 3217, 236787, 138, 107, 236772, 111444, 1518, 659, 69330, 684, 236743, 236812, 236761, 138, 107, 236772, 3153, 236764, 7691, 1518, 568, 5282, 236743, 236778, 236770, 236771, 236771, 236768, 1921, 992, 577, 69330, 684, 236743, 236812, 236771, 236771, 531, 577, 42681, 1518, 236761, 138, 107, 236772, 236743, 236778, 236770, 236771, 236771, 108140, 236743, 236812, 236771, 236771, 578, 236743, 236810, 236761, 236778, 236810, 568, 2217, 614, 11995, 779, 834, 625, 20269, 506, 42681, 236772, 3704, 1594, 236761, 138, 108, 6481, 786, 1281, 768, 611, 1202, 3342, 65977, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 8835, 506, 21812, 14680, 528, 4184, 6914, 2148, 2069, 532, 1461, 531, 2426, 506, 7606, 14415, 236761, 28344, 611, 3442, 786, 506, 1873, 7606, 3439, 528, 506, 3640, 4184, 236764, 2440, 4022, 532, 31632, 18190, 236881, 564, 236858, 236753, 1133, 531, 1386, 2889, 564, 3294, 506, 1447, 13290, 532, 2731, 1041, 24637, 2101, 506, 2460, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 27211, 4184, 827, 623, 4002, 236779, 41907, 1083, 3714, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236778, 236761, 236810, 236764, 623, 27495, 236779, 46435, 15882, 1083, 236743, 236832, 236778, 236761, 236810, 236764, 623, 77269, 236779, 18223, 1083, 236743, 236810, 236810, 236764, 623, 15879, 236779, 11243, 236779, 11375, 791, 1083, 236743, 236770, 236778, 236764, 623, 44340, 236779, 95852, 236779, 18223, 1083, 236743, 236778, 236771, 236764, 623, 19323, 236779, 6011, 1083, 623, 7783, 586, 35898, 236764, 18790, 3439, 23179, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 7606, 32672, 573, 506, 3640, 4184, 7531, 529, 506, 21812, 14680, 528, 4184, 6914, 236787, 108, 251074, 238178, 5213, 8782, 32288, 66515, 107, 236772, 5213, 51994, 66515, 236743, 236778, 236778, 236761, 236810, 237366, 236780, 568, 236832, 236778, 236761, 236810, 237366, 236811, 236768, 753, 84432, 532, 9650, 107, 236772, 5213, 3695, 30815, 5135, 61589, 66515, 236743, 236778, 236771, 236908, 753, 14533, 23000, 529, 6927, 107, 236772, 5213, 42554, 23902, 66515, 236743, 236770, 236778, 7251, 236786, 236754, 753, 10847, 44185, 7436, 573, 11690, 5085, 107, 236772, 5213, 117106, 66515, 236743, 236810, 236810, 236908, 753, 90434, 31992, 107, 236772, 5213, 33062, 66515, 216726, 35898, 55748, 607, 18790, 3439, 108, 1018, 201430, 66515, 107, 236770, 236761, 13079, 2214, 12627, 568, 236746, 2214, 16621, 573, 186743, 13144, 236768, 107, 236778, 236761, 7718, 6733, 568, 1352, 236786, 30603, 21515, 236768, 573, 70127, 3768, 107, 236800, 236761, 131624, 11795, 573, 9378, 236786, 8389, 107, 236812, 236761, 7179, 1063, 12532, 531, 506, 2460, 573, 10448, 49054, 108, 818, 7606, 7412, 27661, 573, 506, 14680, 236888, 21284, 611, 1133, 786, 531, 2426, 1027, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 531, 8835, 506, 21812, 14680, 528, 4184, 6914, 2148, 2069, 532, 1461, 531, 2426, 506, 7606, 14415, 236761, 28344, 611, 3442, 786, 506, 1873, 7606, 3439, 528, 506, 3640, 4184, 236764, 2440, 4022, 532, 31632, 18190, 236881, 564, 236858, 236753, 1133, 531, 1386, 2889, 564, 3294, 506, 1447, 13290, 532, 2731, 1041, 24637, 2101, 506, 2460, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14801, 1083, 623, 27211, 4184, 827, 623, 4002, 236779, 41907, 1083, 3714, 27495, 236779, 236755, 42024, 1083, 236743, 236778, 236778, 236761, 236810, 236764, 623, 27495, 236779, 46435, 15882, 1083, 236743, 236832, 236778, 236761, 236810, 236764, 623, 77269, 236779, 18223, 1083, 236743, 236810, 236810, 236764, 623, 15879, 236779, 11243, 236779, 11375, 791, 1083, 236743, 236770, 236778, 236764, 623, 44340, 236779, 95852, 236779, 18223, 1083, 236743, 236778, 236771, 236764, 623, 19323, 236779, 6011, 1083, 623, 7783, 586, 35898, 236764, 18790, 3439, 23179, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 7606, 32672, 573, 506, 3640, 4184, 7531, 529, 506, 21812, 14680, 528, 4184, 6914, 236787, 108, 251074, 238178, 5213, 8782, 32288, 66515, 107, 236772, 5213, 51994, 66515, 236743, 236778, 236778, 236761, 236810, 237366, 236780, 568, 236832, 236778, 236761, 236810, 237366, 236811, 236768, 753, 84432, 532, 9650, 107, 236772, 5213, 3695, 30815, 5135, 61589, 66515, 236743, 236778, 236771, 236908, 753, 14533, 23000, 529, 6927, 107, 236772, 5213, 42554, 23902, 66515, 236743, 236770, 236778, 7251, 236786, 236754, 753, 10847, 44185, 7436, 573, 11690, 5085, 107, 236772, 5213, 117106, 66515, 236743, 236810, 236810, 236908, 753, 90434, 31992, 107, 236772, 5213, 33062, 66515, 216726, 35898, 55748, 607, 18790, 3439, 108, 1018, 201430, 66515, 107, 236770, 236761, 13079, 2214, 12627, 568, 236746, 2214, 16621, 573, 186743, 13144, 236768, 107, 236778, 236761, 7718, 6733, 568, 1352, 236786, 30603, 21515, 236768, 573, 70127, 3768, 107, 236800, 236761, 131624, 11795, 573, 9378, 236786, 8389, 107, 236812, 236761, 7179, 1063, 12532, 531, 506, 2460, 573, 10448, 49054, 108, 818, 7606, 7412, 27661, 573, 506, 14680, 236888, 21284, 611, 1133, 786, 531, 2426, 1027, 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, 9795, 1041, 60898, 607, 914, 2528, 2203, 580, 26100, 5484, 236761, 1293, 6950, 2613, 1003, 506, 19992, 9654, 236881, 564, 1202, 531, 1586, 1938, 580, 784, 1873, 5484, 573, 506, 2434, 2760, 623, 98125, 21267, 236775, 1015, 735, 15568, 657, 3198, 236743, 236770, 236771, 7675, 672, 3409, 236761, 7062, 236764, 532, 668, 8150, 531, 1281, 910, 4398, 4310, 6657, 810, 2290, 1271, 2613, 1003, 98730, 236764, 564, 1751, 236761, 28344, 611, 33205, 600, 1262, 573, 786, 236881, 564, 5630, 10299, 14906, 528, 1041, 19074, 1518, 4578, 236764, 834, 564, 14756, 13957, 4889, 236761, 29202, 236764, 2752, 3666, 506, 35473, 1271, 668, 10916, 1176, 7675, 236764, 711, 35473, 236761, 3792, 786, 3972, 236772, 4256, 506, 2434, 1463, 237064, 8438, 236764, 25818, 21267, 236761, 1452, 768, 506, 1262, 1451, 577, 19372, 684, 2939, 236764, 600, 2473, 1601, 1515, 136535, 1091, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 28544, 1083, 78493, 1201, 1083, 623, 61105, 15608, 80263, 827, 623, 14992, 1083, 623, 98125, 21267, 827, 623, 3473, 1083, 623, 54659, 827, 623, 53265, 1083, 236743, 236770, 236828, 236764, 623, 28128, 236779, 38466, 236779, 721, 236779, 5567, 1083, 236743, 236828, 236810, 236761, 236800, 1263, 3714, 1201, 1083, 623, 191488, 646, 236785, 236756, 236771, 236771, 5742, 236785, 236756, 236771, 236771, 236760, 236770, 6461, 827, 623, 14992, 1083, 623, 98125, 21267, 827, 623, 3473, 1083, 623, 54659, 827, 623, 53265, 1083, 236743, 236770, 236778, 236764, 623, 28128, 236779, 38466, 236779, 721, 236779, 5567, 1083, 236743, 236832, 236825, 236761, 236770, 1263, 3714, 1201, 1083, 623, 129963, 622, 236785, 236756, 236771, 236771, 524, 1225, 827, 623, 14992, 1083, 623, 98125, 21267, 827, 623, 3473, 1083, 623, 41210, 45348, 827, 623, 53265, 1083, 236743, 236819, 236764, 623, 28128, 236779, 38466, 236779, 721, 236779, 5567, 1083, 236743, 236825, 236828, 236761, 236819, 1263, 3714, 1201, 1083, 623, 27359, 51862, 3007, 827, 623, 14992, 1083, 623, 219804, 170617, 827, 623, 3473, 1083, 623, 41210, 45348, 827, 623, 53265, 1083, 236743, 236770, 236770, 236764, 623, 28128, 236779, 38466, 236779, 721, 236779, 5567, 1083, 236743, 236828, 236770, 236761, 236771, 1263, 3714, 1201, 1083, 623, 19574, 2395, 220661, 827, 623, 14992, 1083, 623, 74246, 4085, 827, 623, 3473, 1083, 623, 54659, 827, 623, 53265, 1083, 236743, 236778, 236812, 236764, 623, 28128, 236779, 38466, 236779, 721, 236779, 5567, 1083, 236743, 236828, 236828, 236761, 236832, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13957, 1262, 573, 25818, 21267, 5484, 5395, 822, 13138, 568, 236770, 236771, 236862, 7675, 236764, 19372, 684, 2939, 1473, 108, 1018, 12474, 152801, 1018, 107, 236770, 236761, 5213, 61105, 15608, 80263, 1018, 107, 139, 236772, 59836, 236787, 236743, 236770, 236828, 107, 139, 236772, 84109, 64668, 236786, 8802, 236787, 236743, 236828, 236810, 236761, 236800, 108, 236778, 236761, 5213, 191488, 201402, 1018, 107, 139, 236772, 59836, 236787, 236743, 236770, 236778, 107, 139, 236772, 84109, 64668, 236786, 8802, 236787, 236743, 236832, 236825, 236761, 236770, 108, 1018, 41210, 3593, 616, 66515, 5450, 607, 57846, 236770, 236771, 7675, 672, 3409, 108, 236829, 10282, 236787, 669, 3303, 15297, 5012, 236743, 236778, 53768, 753, 30913, 77039, 568, 236819, 7675, 236768, 532, 7502, 51862, 3007, 568, 2217, 25818, 4155, 769, 3143, 735, 1010, 26558, 531, 4883, 10634, 236761, 5131, 2395, 220661, 532, 1032, 1908, 236772, 98125, 5484, 964, 992, 24271, 855, 618, 15633, 9603, 236743, 108, 38786, 611, 1133, 786, 531, 1861, 672, 528, 496, 2633, 6518, 653, 1138, 1027, 4767, 4155, 14906, 573, 12524, 8616, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 9795, 1041, 60898, 607, 914, 2528, 2203, 580, 26100, 5484, 236761, 1293, 6950, 2613, 1003, 506, 19992, 9654, 236881, 564, 1202, 531, 1586, 1938, 580, 784, 1873, 5484, 573, 506, 2434, 2760, 623, 98125, 21267, 236775, 1015, 735, 15568, 657, 3198, 236743, 236770, 236771, 7675, 672, 3409, 236761, 7062, 236764, 532, 668, 8150, 531, 1281, 910, 4398, 4310, 6657, 810, 2290, 1271, 2613, 1003, 98730, 236764, 564, 1751, 236761, 28344, 611, 33205, 600, 1262, 573, 786, 236881, 564, 5630, 10299, 14906, 528, 1041, 19074, 1518, 4578, 236764, 834, 564, 14756, 13957, 4889, 236761, 29202, 236764, 2752, 3666, 506, 35473, 1271, 668, 10916, 1176, 7675, 236764, 711, 35473, 236761, 3792, 786, 3972, 236772, 4256, 506, 2434, 1463, 237064, 8438, 236764, 25818, 21267, 236761, 1452, 768, 506, 1262, 1451, 577, 19372, 684, 2939, 236764, 600, 2473, 1601, 1515, 136535, 1091, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 28544, 1083, 78493, 1201, 1083, 623, 61105, 15608, 80263, 827, 623, 14992, 1083, 623, 98125, 21267, 827, 623, 3473, 1083, 623, 54659, 827, 623, 53265, 1083, 236743, 236770, 236828, 236764, 623, 28128, 236779, 38466, 236779, 721, 236779, 5567, 1083, 236743, 236828, 236810, 236761, 236800, 1263, 3714, 1201, 1083, 623, 191488, 646, 236785, 236756, 236771, 236771, 5742, 236785, 236756, 236771, 236771, 236760, 236770, 6461, 827, 623, 14992, 1083, 623, 98125, 21267, 827, 623, 3473, 1083, 623, 54659, 827, 623, 53265, 1083, 236743, 236770, 236778, 236764, 623, 28128, 236779, 38466, 236779, 721, 236779, 5567, 1083, 236743, 236832, 236825, 236761, 236770, 1263, 3714, 1201, 1083, 623, 129963, 622, 236785, 236756, 236771, 236771, 524, 1225, 827, 623, 14992, 1083, 623, 98125, 21267, 827, 623, 3473, 1083, 623, 41210, 45348, 827, 623, 53265, 1083, 236743, 236819, 236764, 623, 28128, 236779, 38466, 236779, 721, 236779, 5567, 1083, 236743, 236825, 236828, 236761, 236819, 1263, 3714, 1201, 1083, 623, 27359, 51862, 3007, 827, 623, 14992, 1083, 623, 219804, 170617, 827, 623, 3473, 1083, 623, 41210, 45348, 827, 623, 53265, 1083, 236743, 236770, 236770, 236764, 623, 28128, 236779, 38466, 236779, 721, 236779, 5567, 1083, 236743, 236828, 236770, 236761, 236771, 1263, 3714, 1201, 1083, 623, 19574, 2395, 220661, 827, 623, 14992, 1083, 623, 74246, 4085, 827, 623, 3473, 1083, 623, 54659, 827, 623, 53265, 1083, 236743, 236778, 236812, 236764, 623, 28128, 236779, 38466, 236779, 721, 236779, 5567, 1083, 236743, 236828, 236828, 236761, 236832, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 13957, 1262, 573, 25818, 21267, 5484, 5395, 822, 13138, 568, 236770, 236771, 236862, 7675, 236764, 19372, 684, 2939, 1473, 108, 1018, 12474, 152801, 1018, 107, 236770, 236761, 5213, 61105, 15608, 80263, 1018, 107, 139, 236772, 59836, 236787, 236743, 236770, 236828, 107, 139, 236772, 84109, 64668, 236786, 8802, 236787, 236743, 236828, 236810, 236761, 236800, 108, 236778, 236761, 5213, 191488, 201402, 1018, 107, 139, 236772, 59836, 236787, 236743, 236770, 236778, 107, 139, 236772, 84109, 64668, 236786, 8802, 236787, 236743, 236832, 236825, 236761, 236770, 108, 1018, 41210, 3593, 616, 66515, 5450, 607, 57846, 236770, 236771, 7675, 672, 3409, 108, 236829, 10282, 236787, 669, 3303, 15297, 5012, 236743, 236778, 53768, 753, 30913, 77039, 568, 236819, 7675, 236768, 532, 7502, 51862, 3007, 568, 2217, 25818, 4155, 769, 3143, 735, 1010, 26558, 531, 4883, 10634, 236761, 5131, 2395, 220661, 532, 1032, 1908, 236772, 98125, 5484, 964, 992, 24271, 855, 618, 15633, 9603, 236743, 108, 38786, 611, 1133, 786, 531, 1861, 672, 528, 496, 2633, 6518, 653, 1138, 1027, 4767, 4155, 14906, 573, 12524, 8616, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 37188, 236761, 564, 236789, 236757, 2844, 580, 496, 1519, 573, 1041, 18669, 532, 564, 1461, 531, 2247, 496, 4940, 4083, 1707, 580, 625, 236761, 28344, 611, 974, 786, 886, 236881, 1452, 1299, 236764, 564, 1461, 531, 2426, 506, 5149, 699, 1041, 3155, 528, 22033, 236764, 13187, 531, 506, 22033, 7423, 11109, 531, 1460, 768, 564, 740, 1769, 496, 3823, 7946, 672, 9735, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18377, 1083, 623, 818, 1171, 3224, 1161, 529, 506, 3658, 756, 28681, 236789, 11081, 531, 496, 1589, 1015, 6984, 15621, 236764, 711, 496, 5464, 236764, 20566, 1063, 531, 236743, 236770, 236825, 236770, 236800, 528, 7591, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 17178, 1083, 623, 236778, 236761, 236800, 7635, 827, 623, 6805, 1083, 623, 100403, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4940, 4083, 1707, 573, 822, 18669, 1519, 236787, 108, 1018, 27711, 53121, 669, 1171, 3224, 1161, 529, 506, 3658, 623, 28681, 236775, 11081, 531, 496, 1589, 1015, 6984, 15621, 236764, 711, 496, 5464, 236764, 20566, 1063, 531, 236743, 236770, 236825, 236770, 236800, 528, 7591, 236761, 108, 3133, 506, 5149, 699, 822, 3155, 528, 22033, 236764, 13187, 531, 506, 22033, 7423, 11109, 563, 5213, 236778, 236761, 236800, 7635, 84750, 2981, 236789, 236751, 496, 2822, 7946, 237028, 50936, 573, 496, 3823, 9735, 3517, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 37188, 236761, 564, 236789, 236757, 2844, 580, 496, 1519, 573, 1041, 18669, 532, 564, 1461, 531, 2247, 496, 4940, 4083, 1707, 580, 625, 236761, 28344, 611, 974, 786, 886, 236881, 1452, 1299, 236764, 564, 1461, 531, 2426, 506, 5149, 699, 1041, 3155, 528, 22033, 236764, 13187, 531, 506, 22033, 7423, 11109, 531, 1460, 768, 564, 740, 1769, 496, 3823, 7946, 672, 9735, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18377, 1083, 623, 818, 1171, 3224, 1161, 529, 506, 3658, 756, 28681, 236789, 11081, 531, 496, 1589, 1015, 6984, 15621, 236764, 711, 496, 5464, 236764, 20566, 1063, 531, 236743, 236770, 236825, 236770, 236800, 528, 7591, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 17178, 1083, 623, 236778, 236761, 236800, 7635, 827, 623, 6805, 1083, 623, 100403, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4940, 4083, 1707, 573, 822, 18669, 1519, 236787, 108, 1018, 27711, 53121, 669, 1171, 3224, 1161, 529, 506, 3658, 623, 28681, 236775, 11081, 531, 496, 1589, 1015, 6984, 15621, 236764, 711, 496, 5464, 236764, 20566, 1063, 531, 236743, 236770, 236825, 236770, 236800, 528, 7591, 236761, 108, 3133, 506, 5149, 699, 822, 3155, 528, 22033, 236764, 13187, 531, 506, 22033, 7423, 11109, 563, 5213, 236778, 236761, 236800, 7635, 84750, 2981, 236789, 236751, 496, 2822, 7946, 237028, 50936, 573, 496, 3823, 9735, 3517, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 31640, 236764, 496, 95958, 699, 87906, 9630, 236761, 564, 236789, 236757, 6972, 529, 6250, 496, 1944, 49115, 1960, 532, 1202, 531, 25196, 1679, 506, 5886, 3869, 3136, 573, 1041, 2433, 1171, 236761, 4298, 236764, 564, 1461, 531, 2426, 768, 993, 659, 1027, 4803, 4668, 10308, 1003, 49115, 8634, 528, 506, 10028, 1298, 87906, 9630, 563, 5628, 237028, 51512, 5796, 236764, 564, 1751, 236881, 28344, 611, 1502, 684, 3978, 506, 5886, 3869, 3136, 573, 87906, 9630, 236764, 13476, 236764, 532, 1299, 1161, 506, 10028, 1463, 699, 600, 1354, 531, 3927, 573, 2263, 49115, 1960, 4668, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3255, 1083, 236743, 236771, 236761, 236771, 236812, 236764, 623, 78660, 1083, 236743, 236771, 236761, 236771, 236812, 236810, 236764, 623, 13319, 1083, 236743, 236771, 236761, 236771, 236771, 236800, 236832, 236810, 236764, 623, 18146, 1083, 236743, 236771, 236761, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 51512, 5796, 166858, 93697, 169131, 48233, 62678, 827, 623, 6265, 1083, 623, 51512, 5796, 66891, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 6011, 1083, 623, 13149, 49115, 8634, 528, 23770, 5796, 659, 15747, 44173, 28597, 236772, 18865, 4615, 236764, 607, 236743, 236832, 236828, 236908, 13761, 3715, 5602, 27215, 2338, 22743, 10293, 9295, 17591, 221476, 3714, 3250, 1083, 623, 4199, 166858, 7449, 20819, 6824, 190304, 528, 174123, 827, 623, 6265, 1083, 623, 23551, 3245, 22682, 8708, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 6011, 1083, 623, 818, 23770, 5796, 16875, 8236, 17220, 7735, 496, 609, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 7224, 3055, 573, 861, 49115, 8634, 236764, 28307, 31011, 528, 13023, 8904, 1133, 87906, 9630, 221476, 3714, 3250, 1083, 623, 66207, 529, 34980, 16234, 16439, 34356, 580, 12263, 8004, 168212, 8381, 827, 623, 6265, 1083, 623, 153716, 11849, 7449, 9186, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 827, 623, 6011, 1083, 623, 35434, 3831, 496, 236743, 236812, 236761, 236778, 236908, 3553, 528, 2509, 10512, 573, 49115, 8634, 2269, 506, 10028, 236789, 236751, 10448, 5886, 3869, 3904, 573, 2033, 11531, 3019, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 822, 49115, 1960, 6995, 236787, 108, 1018, 27286, 16439, 25870, 573, 87906, 9630, 236764, 13476, 568, 51512, 5796, 1473, 1018, 138, 107, 236772, 3245, 3869, 236787, 236743, 236812, 236761, 236771, 236908, 138, 107, 236772, 5796, 3869, 236787, 236743, 236812, 236761, 236810, 236908, 138, 107, 236772, 4085, 3869, 236787, 236743, 236771, 236761, 236800, 236832, 236810, 236908, 138, 107, 236772, 5213, 9640, 5886, 3869, 3136, 236787, 236743, 236828, 236761, 236828, 236832, 236810, 236908, 1018, 138, 108, 1018, 47619, 7074, 580, 166858, 93697, 528, 23770, 5796, 53121, 138, 107, 236770, 236761, 178829, 808, 51512, 5796, 166858, 93697, 169131, 48233, 62678, 236829, 138, 107, 139, 236829, 5825, 236787, 23770, 5796, 66891, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 12016, 138, 107, 139, 236813, 236743, 236832, 236828, 236908, 529, 2263, 49115, 8634, 2072, 3715, 5602, 27215, 1308, 44173, 10293, 9295, 17591, 236761, 138, 108, 236778, 236761, 236743, 244314, 808, 4199, 166858, 7449, 20819, 6824, 190304, 528, 174123, 236829, 138, 107, 139, 236829, 5825, 236787, 13476, 3245, 22682, 8708, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 12016, 138, 107, 139, 236813, 609, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 7224, 3055, 1492, 2487, 573, 861, 49115, 8634, 528, 13023, 4106, 1133, 87906, 9630, 236761, 138, 108, 236800, 236761, 236743, 245353, 808, 66207, 529, 34980, 16234, 16439, 34356, 580, 12263, 8004, 168212, 8381, 236829, 138, 107, 139, 236829, 5825, 236787, 34891, 11849, 7449, 9186, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 12016, 138, 107, 139, 236813, 236743, 236812, 236761, 236778, 236908, 3553, 528, 2509, 10512, 573, 49115, 8634, 2269, 10448, 3869, 9108, 573, 2033, 11531, 3019, 236761, 138, 108, 2094, 563, 1822, 4668, 573, 822, 1960, 8912, 236888, 669, 7224, 1948, 532, 13726, 15067, 8913, 13275, 607, 822, 7675, 236761, 21284, 611, 1133, 1601, 66582, 496, 7224, 3739, 653, 54909, 13726, 49115, 10154, 236881, 103453, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 31640, 236764, 496, 95958, 699, 87906, 9630, 236761, 564, 236789, 236757, 6972, 529, 6250, 496, 1944, 49115, 1960, 532, 1202, 531, 25196, 1679, 506, 5886, 3869, 3136, 573, 1041, 2433, 1171, 236761, 4298, 236764, 564, 1461, 531, 2426, 768, 993, 659, 1027, 4803, 4668, 10308, 1003, 49115, 8634, 528, 506, 10028, 1298, 87906, 9630, 563, 5628, 237028, 51512, 5796, 236764, 564, 1751, 236881, 28344, 611, 1502, 684, 3978, 506, 5886, 3869, 3136, 573, 87906, 9630, 236764, 13476, 236764, 532, 1299, 1161, 506, 10028, 1463, 699, 600, 1354, 531, 3927, 573, 2263, 49115, 1960, 4668, 236881, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 573, 822, 87906, 9630, 49115, 1960, 236787, 108, 1018, 27286, 16439, 25870, 573, 87906, 9630, 236764, 13476, 568, 51512, 5796, 1473, 1018, 138, 107, 236772, 3245, 3869, 236787, 236743, 236812, 236761, 236771, 236908, 138, 107, 236772, 5796, 3869, 236787, 236743, 236812, 236761, 236810, 236908, 138, 107, 236772, 4085, 3869, 236787, 236743, 236771, 236761, 236800, 236832, 236810, 236908, 138, 107, 236772, 5213, 9640, 5886, 3869, 3136, 236787, 236743, 236828, 236761, 236828, 236832, 236810, 236908, 1018, 138, 108, 1018, 47619, 7074, 580, 166858, 93697, 528, 23770, 5796, 53121, 138, 107, 236770, 236761, 178829, 808, 51512, 5796, 166858, 93697, 169131, 48233, 62678, 236829, 138, 107, 139, 236829, 5825, 236787, 23770, 5796, 66891, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 12016, 138, 107, 139, 236813, 236743, 236832, 236828, 236908, 529, 2263, 8634, 2072, 3715, 5602, 27215, 1308, 44173, 10293, 9295, 17591, 236761, 138, 108, 236778, 236761, 236743, 244314, 808, 4199, 609, 236810, 236771, 236771, 236855, 20819, 6824, 573, 166858, 93697, 528, 39259, 53712, 236829, 138, 107, 139, 236829, 5825, 236787, 13476, 3245, 22682, 8708, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 12016, 138, 107, 139, 236813, 87906, 9630, 103251, 573, 672, 13023, 236772, 41889, 11213, 17358, 236761, 138, 108, 236800, 236761, 236743, 245353, 808, 27286, 16439, 34356, 17713, 236743, 236812, 236761, 236778, 236908, 26608, 528, 166858, 6007, 93861, 236829, 138, 107, 139, 236829, 5825, 236787, 34891, 11849, 7449, 9186, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 12016, 138, 107, 139, 236813, 42841, 3869, 3904, 573, 2033, 11531, 3019, 563, 57783, 5056, 236761, 138, 108, 2094, 563, 7516, 4668, 573, 822, 8912, 236888, 669, 7224, 1948, 532, 24488, 15067, 8913, 13275, 607, 822, 7675, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236772, 41261, 496, 7224, 3739, 18161, 236881, 138, 107, 236772, 6498, 3530, 10293, 9295, 8403, 573, 822, 2433, 236881, 138, 107, 236772, 19536, 9279, 21212, 607, 822, 236743, 236828, 236761, 236828, 236832, 236810, 236908, 3869, 3136, 236881, 138, 108, 11896, 1531, 786, 1281, 1217, 564, 740, 1894, 822, 1960, 9338, 236888, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 31640, 236764, 496, 95958, 699, 87906, 9630, 236761, 564, 236789, 236757, 6972, 529, 6250, 496, 1944, 49115, 1960, 532, 1202, 531, 25196, 1679, 506, 5886, 3869, 3136, 573, 1041, 2433, 1171, 236761, 4298, 236764, 564, 1461, 531, 2426, 768, 993, 659, 1027, 4803, 4668, 10308, 1003, 49115, 8634, 528, 506, 10028, 1298, 87906, 9630, 563, 5628, 237028, 51512, 5796, 236764, 564, 1751, 236881, 28344, 611, 1502, 684, 3978, 506, 5886, 3869, 3136, 573, 87906, 9630, 236764, 13476, 236764, 532, 1299, 1161, 506, 10028, 1463, 699, 600, 1354, 531, 3927, 573, 2263, 49115, 1960, 4668, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3255, 1083, 236743, 236771, 236761, 236771, 236812, 236764, 623, 78660, 1083, 236743, 236771, 236761, 236771, 236812, 236810, 236764, 623, 13319, 1083, 236743, 236771, 236761, 236771, 236771, 236800, 236832, 236810, 236764, 623, 18146, 1083, 236743, 236771, 236761, 236771, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 51512, 5796, 166858, 93697, 169131, 48233, 62678, 827, 623, 6265, 1083, 623, 51512, 5796, 66891, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 6011, 1083, 623, 13149, 49115, 8634, 528, 23770, 5796, 659, 15747, 44173, 28597, 236772, 18865, 4615, 236764, 607, 236743, 236832, 236828, 236908, 13761, 3715, 5602, 27215, 2338, 22743, 10293, 9295, 17591, 221476, 3714, 3250, 1083, 623, 4199, 166858, 7449, 20819, 6824, 190304, 528, 174123, 827, 623, 6265, 1083, 623, 23551, 3245, 22682, 8708, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 827, 623, 6011, 1083, 623, 818, 23770, 5796, 16875, 8236, 17220, 7735, 496, 609, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 7224, 3055, 573, 861, 49115, 8634, 236764, 28307, 31011, 528, 13023, 8904, 1133, 87906, 9630, 221476, 3714, 3250, 1083, 623, 66207, 529, 34980, 16234, 16439, 34356, 580, 12263, 8004, 168212, 8381, 827, 623, 6265, 1083, 623, 153716, 11849, 7449, 9186, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 827, 623, 6011, 1083, 623, 35434, 3831, 496, 236743, 236812, 236761, 236778, 236908, 3553, 528, 2509, 10512, 573, 49115, 8634, 2269, 506, 10028, 236789, 236751, 10448, 5886, 3869, 3904, 573, 2033, 11531, 3019, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 573, 822, 49115, 1960, 6995, 236787, 108, 1018, 27286, 16439, 25870, 573, 87906, 9630, 236764, 13476, 568, 51512, 5796, 1473, 1018, 138, 107, 236772, 3245, 3869, 236787, 236743, 236812, 236761, 236771, 236908, 138, 107, 236772, 5796, 3869, 236787, 236743, 236812, 236761, 236810, 236908, 138, 107, 236772, 4085, 3869, 236787, 236743, 236771, 236761, 236800, 236832, 236810, 236908, 138, 107, 236772, 5213, 9640, 5886, 3869, 3136, 236787, 236743, 236828, 236761, 236828, 236832, 236810, 236908, 1018, 138, 108, 1018, 47619, 7074, 580, 166858, 93697, 528, 23770, 5796, 53121, 138, 107, 236770, 236761, 178829, 808, 51512, 5796, 166858, 93697, 169131, 48233, 62678, 236829, 138, 107, 139, 236829, 5825, 236787, 23770, 5796, 66891, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 12016, 138, 107, 139, 236813, 236743, 236832, 236828, 236908, 529, 2263, 49115, 8634, 2072, 3715, 5602, 27215, 1308, 44173, 10293, 9295, 17591, 236761, 138, 108, 236778, 236761, 236743, 244314, 808, 4199, 166858, 7449, 20819, 6824, 190304, 528, 174123, 236829, 138, 107, 139, 236829, 5825, 236787, 13476, 3245, 22682, 8708, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 12016, 138, 107, 139, 236813, 609, 236810, 236771, 236771, 236764, 236771, 236771, 236771, 7224, 3055, 1492, 2487, 573, 861, 49115, 8634, 528, 13023, 4106, 1133, 87906, 9630, 236761, 138, 108, 236800, 236761, 236743, 245353, 808, 66207, 529, 34980, 16234, 16439, 34356, 580, 12263, 8004, 168212, 8381, 236829, 138, 107, 139, 236829, 5825, 236787, 34891, 11849, 7449, 9186, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 12016, 138, 107, 139, 236813, 236743, 236812, 236761, 236778, 236908, 3553, 528, 2509, 10512, 573, 49115, 8634, 2269, 10448, 3869, 9108, 573, 2033, 11531, 3019, 236761, 138, 108, 2094, 563, 1822, 4668, 573, 822, 1960, 8912, 236888, 669, 7224, 1948, 532, 13726, 15067, 8913, 13275, 607, 822, 7675, 236761, 21284, 611, 1133, 1601, 66582, 496, 7224, 3739, 653, 54909, 13726, 49115, 10154, 236881, 103453, 106, 107, 105, 2364, 107, 10979, 993, 236888, 564, 236789, 236757, 31640, 236764, 496, 95958, 699, 87906, 9630, 236761, 564, 236789, 236757, 6972, 529, 6250, 496, 1944, 49115, 1960, 532, 1202, 531, 25196, 1679, 506, 5886, 3869, 3136, 573, 1041, 2433, 1171, 236761, 4298, 236764, 564, 1461, 531, 2426, 768, 993, 659, 1027, 4803, 4668, 10308, 1003, 49115, 8634, 528, 506, 10028, 1298, 87906, 9630, 563, 5628, 237028, 51512, 5796, 236764, 564, 1751, 236881, 28344, 611, 1502, 684, 3978, 506, 5886, 3869, 3136, 573, 87906, 9630, 236764, 13476, 236764, 532, 1299, 1161, 506, 10028, 1463, 699, 600, 1354, 531, 3927, 573, 2263, 49115, 1960, 4668, 236881, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 611, 15633, 573, 822, 87906, 9630, 49115, 1960, 236787, 108, 1018, 27286, 16439, 25870, 573, 87906, 9630, 236764, 13476, 568, 51512, 5796, 1473, 1018, 138, 107, 236772, 3245, 3869, 236787, 236743, 236812, 236761, 236771, 236908, 138, 107, 236772, 5796, 3869, 236787, 236743, 236812, 236761, 236810, 236908, 138, 107, 236772, 4085, 3869, 236787, 236743, 236771, 236761, 236800, 236832, 236810, 236908, 138, 107, 236772, 5213, 9640, 5886, 3869, 3136, 236787, 236743, 236828, 236761, 236828, 236832, 236810, 236908, 1018, 138, 108, 1018, 47619, 7074, 580, 166858, 93697, 528, 23770, 5796, 53121, 138, 107, 236770, 236761, 178829, 808, 51512, 5796, 166858, 93697, 169131, 48233, 62678, 236829, 138, 107, 139, 236829, 5825, 236787, 23770, 5796, 66891, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236819, 12016, 138, 107, 139, 236813, 236743, 236832, 236828, 236908, 529, 2263, 8634, 2072, 3715, 5602, 27215, 1308, 44173, 10293, 9295, 17591, 236761, 138, 108, 236778, 236761, 236743, 244314, 808, 4199, 609, 236810, 236771, 236771, 236855, 20819, 6824, 573, 166858, 93697, 528, 39259, 53712, 236829, 138, 107, 139, 236829, 5825, 236787, 13476, 3245, 22682, 8708, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 12016, 138, 107, 139, 236813, 87906, 9630, 103251, 573, 672, 13023, 236772, 41889, 11213, 17358, 236761, 138, 108, 236800, 236761, 236743, 245353, 808, 27286, 16439, 34356, 17713, 236743, 236812, 236761, 236778, 236908, 26608, 528, 166858, 6007, 93861, 236829, 138, 107, 139, 236829, 5825, 236787, 34891, 11849, 7449, 9186, 568, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236832, 12016, 138, 107, 139, 236813, 42841, 3869, 3904, 573, 2033, 11531, 3019, 563, 57783, 5056, 236761, 138, 108, 2094, 563, 7516, 4668, 573, 822, 8912, 236888, 669, 7224, 1948, 532, 24488, 15067, 8913, 13275, 607, 822, 7675, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236772, 41261, 496, 7224, 3739, 18161, 236881, 138, 107, 236772, 6498, 3530, 10293, 9295, 8403, 573, 822, 2433, 236881, 138, 107, 236772, 19536, 9279, 21212, 607, 822, 236743, 236828, 236761, 236828, 236832, 236810, 236908, 3869, 3136, 236881, 138, 108, 11896, 1531, 786, 1281, 1217, 564, 740, 1894, 822, 1960, 9338, 236888, 236743, 242560, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 9279, 13822, 21184, 13192, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 21184, 15621, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 9279, 13822, 21184, 13192, 236761, 3792, 786, 1281, 768, 611, 1202, 1601, 607, 21184, 15621, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 496, 26004, 1015, 236789, 236751, 1010, 22260, 39435, 48703, 1133, 215392, 236764, 532, 564, 1461, 531, 1502, 496, 1944, 1960, 11010, 3756, 35818, 3211, 236761, 564, 6827, 1491, 1110, 585, 815, 496, 1822, 6799, 529, 49639, 13965, 236761, 28344, 611, 1601, 786, 33205, 910, 5500, 1694, 834, 564, 740, 2958, 3435, 26694, 532, 85505, 236881, 564, 1751, 672, 1093, 1601, 786, 2731, 1041, 1698, 1757, 2480, 1651, 41346, 1041, 981, 532, 2523, 41716, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 72726, 1083, 11058, 236776, 57063, 1214, 6333, 827, 623, 46797, 236789, 236751, 86180, 827, 623, 79910, 236394, 2372, 10498, 623, 76317, 220881, 827, 623, 198073, 665, 50687, 49133, 827, 623, 147716, 25846, 827, 623, 2035, 20926, 543, 3900, 876, 827, 623, 99969, 3508, 1084, 827, 623, 27258, 3316, 191580, 19590, 827, 623, 52858, 236823, 976, 141234, 151867, 14255, 623, 6725, 236779, 72726, 1083, 236743, 236770, 236810, 236771, 236764, 623, 8777, 236779, 3906, 1083, 3714, 8777, 547, 1083, 236743, 236770, 236764, 623, 19645, 1083, 623, 236802, 1110, 585, 236761, 854, 827, 623, 18146, 1363, 1083, 623, 5805, 3316, 35818, 13965, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 1694, 529, 49639, 35818, 13965, 5633, 2487, 580, 1491, 1110, 585, 568, 8777, 5853, 236743, 236770, 236768, 600, 611, 2473, 1966, 618, 3435, 26694, 653, 85505, 236787, 108, 1018, 8534, 225933, 63983, 580, 1491, 1110, 585, 53121, 107, 236772, 218764, 1214, 6333, 107, 236772, 15007, 236789, 236751, 86180, 107, 236772, 33677, 236394, 2372, 236761, 107, 236772, 37844, 220881, 107, 236772, 66033, 665, 50687, 49133, 107, 236772, 43804, 25846, 107, 236772, 147925, 543, 3900, 876, 107, 236772, 37330, 3508, 1084, 107, 236772, 225933, 191580, 19590, 107, 236772, 10824, 236823, 976, 141234, 151867, 108, 1018, 3503, 76374, 53121, 107, 236772, 1491, 1110, 585, 20472, 236743, 236770, 236810, 236771, 236862, 49639, 35818, 13965, 107, 236772, 669, 2436, 21132, 580, 3756, 13153, 532, 215392, 3211, 107, 236772, 8732, 13965, 17794, 65369, 607, 35818, 31622, 108, 2094, 1262, 1451, 1601, 611, 8701, 2436, 15067, 532, 3435, 129119, 573, 822, 22726, 236772, 41889, 35818, 3211, 236761, 21284, 611, 1133, 786, 531, 1385, 872, 1027, 3530, 5500, 4889, 653, 1601, 18840, 28893, 528, 506, 2436, 236881, 236743, 108, 11069, 1695, 528, 22726, 1451, 577, 496, 4709, 7821, 528, 8812, 56191, 13819, 35818, 3211, 600, 1975, 855, 528, 672, 2557, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 496, 26004, 1015, 236789, 236751, 1010, 22260, 39435, 48703, 1133, 215392, 236764, 532, 564, 1461, 531, 1502, 496, 1944, 1960, 11010, 3756, 35818, 3211, 236761, 564, 6827, 1491, 1110, 585, 815, 496, 1822, 6799, 529, 49639, 13965, 236761, 28344, 611, 1601, 786, 33205, 910, 5500, 1694, 834, 564, 740, 2958, 3435, 26694, 532, 85505, 236881, 564, 1751, 672, 1093, 1601, 786, 2731, 1041, 1698, 1757, 2480, 1651, 41346, 1041, 981, 532, 2523, 41716, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 72726, 1083, 11058, 236776, 57063, 1214, 6333, 827, 623, 46797, 236789, 236751, 86180, 827, 623, 79910, 236394, 2372, 10498, 623, 76317, 220881, 827, 623, 198073, 665, 50687, 49133, 827, 623, 147716, 25846, 827, 623, 2035, 20926, 543, 3900, 876, 827, 623, 99969, 3508, 1084, 827, 623, 27258, 3316, 191580, 19590, 827, 623, 52858, 236823, 976, 141234, 151867, 14255, 623, 6725, 236779, 72726, 1083, 236743, 236770, 236810, 236771, 236764, 623, 8777, 236779, 3906, 1083, 3714, 8777, 547, 1083, 236743, 236770, 236764, 623, 19645, 1083, 623, 236802, 1110, 585, 236761, 854, 827, 623, 18146, 1363, 1083, 623, 5805, 3316, 35818, 13965, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 1694, 529, 49639, 35818, 13965, 5633, 2487, 580, 1491, 1110, 585, 568, 8777, 5853, 236743, 236770, 236768, 600, 611, 2473, 1966, 618, 3435, 26694, 653, 85505, 236787, 108, 1018, 8534, 225933, 63983, 580, 1491, 1110, 585, 53121, 107, 236772, 218764, 1214, 6333, 107, 236772, 15007, 236789, 236751, 86180, 107, 236772, 33677, 236394, 2372, 236761, 107, 236772, 37844, 220881, 107, 236772, 66033, 665, 50687, 49133, 107, 236772, 43804, 25846, 107, 236772, 147925, 543, 3900, 876, 107, 236772, 37330, 3508, 1084, 107, 236772, 225933, 191580, 19590, 107, 236772, 10824, 236823, 976, 141234, 151867, 108, 1018, 3503, 76374, 53121, 107, 236772, 1491, 1110, 585, 20472, 236743, 236770, 236810, 236771, 236862, 49639, 35818, 13965, 107, 236772, 669, 2436, 21132, 580, 3756, 13153, 532, 215392, 3211, 107, 236772, 8732, 13965, 17794, 65369, 607, 35818, 31622, 108, 2094, 1262, 1451, 1601, 611, 8701, 2436, 15067, 532, 3435, 129119, 573, 822, 22726, 236772, 41889, 35818, 3211, 236761, 21284, 611, 1133, 786, 531, 1385, 872, 1027, 3530, 5500, 4889, 653, 1601, 18840, 28893, 528, 506, 2436, 236881, 236743, 108, 11069, 1695, 528, 22726, 1451, 577, 496, 4709, 7821, 528, 8812, 56191, 13819, 35818, 3211, 600, 1975, 855, 528, 672, 2557, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 52705, 2197, 91624, 13696, 684, 26135, 6540, 532, 1202, 1601, 8159, 506, 1447, 7824, 4889, 236761, 5315, 236764, 564, 1461, 531, 11327, 2487, 9226, 22888, 4596, 531, 14361, 236772, 55952, 9576, 236761, 3199, 611, 1502, 684, 67896, 506, 7824, 4889, 573, 623, 126203, 2723, 236779, 230586, 236775, 1699, 506, 7824, 236779, 16988, 5904, 236881, 564, 236789, 859, 992, 1202, 611, 531, 1694, 784, 3328, 15579, 531, 1601, 607, 132567, 2460, 70295, 3209, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 70496, 1083, 78493, 3970, 1083, 623, 507, 827, 623, 1201, 1083, 623, 80353, 827, 623, 21877, 236779, 1201, 1083, 623, 45939, 236746, 236785, 236756, 236771, 236771, 236760, 236770, 551, 23179, 3714, 3970, 1083, 623, 501, 827, 623, 1201, 1083, 623, 27832, 827, 623, 21877, 236779, 1201, 1083, 623, 27832, 23179, 3714, 3970, 1083, 623, 1145, 827, 623, 1201, 1083, 623, 42150, 827, 623, 21877, 236779, 1201, 1083, 623, 171169, 236785, 236756, 236771, 236771, 236744, 236832, 2224, 23179, 3714, 3970, 1083, 623, 893, 827, 623, 1201, 1083, 623, 51423, 827, 623, 21877, 236779, 1201, 1083, 623, 133579, 23179, 3714, 3970, 1083, 623, 509, 827, 623, 1201, 1083, 623, 64835, 827, 623, 21877, 236779, 1201, 1083, 623, 64835, 236748, 23179, 3714, 3970, 1083, 623, 693, 827, 623, 1201, 1083, 623, 227601, 827, 623, 21877, 236779, 1201, 1083, 623, 8999, 27110, 236785, 236756, 236771, 236771, 82492, 25938, 1604, 623, 6725, 1083, 236743, 236825, 236764, 623, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236771, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 236777, 1765, 506, 1694, 529, 3328, 15579, 837, 5132, 14361, 568, 507, 779, 5422, 568, 501, 779, 7830, 568, 1145, 779, 9115, 568, 893, 779, 12896, 568, 509, 779, 532, 41082, 568, 693, 769, 3153, 236764, 993, 236789, 236751, 614, 4186, 607, 67896, 506, 623, 126203, 2723, 236779, 230586, 236775, 7824, 4889, 236787, 506, 2165, 14818, 236779, 16988, 236929, 5904, 7087, 496, 40155, 2165, 9438, 547, 236929, 7689, 568, 14818, 5853, 236768, 531, 12270, 1938, 236764, 840, 611, 236789, 560, 3847, 496, 7824, 1463, 5205, 236761, 28344, 611, 4024, 506, 3530, 7824, 5853, 611, 236789, 236753, 1133, 786, 531, 1385, 872, 236881, 1637, 611, 1537, 236789, 236745, 1281, 625, 236764, 564, 740, 1601, 611, 78543, 3435, 25677, 547, 2979, 4596, 531, 26135, 27249, 653, 3600, 9302, 12668, 236761, 106, 107, 105, 2364, 107, 236777, 1460, 506, 4186, 753, 1531, 236789, 236751, 2056, 25677, 547, 2979, 4596, 531, 26135, 6540, 236761, 28344, 611, 5686, 7824, 236779, 16988, 9139, 607, 25677, 547, 236784, 236770, 236771, 236770, 568, 167464, 1456, 573, 2780, 22888, 236768, 532, 25677, 547, 236784, 236828, 236832, 236825, 568, 74860, 5143, 607, 16403, 3668, 28968, 20625, 1637, 1724, 5121, 236764, 7463, 692, 740, 2426, 25677, 547, 236784, 236812, 236810, 236778, 837, 6494, 7412, 528, 9226, 2460, 56918, 236761, 3792, 236789, 236751, 1502, 607, 1239, 3435, 62606, 531, 1586, 506, 1447, 7824, 4889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 158333, 32462, 68683, 827, 623, 7777, 1083, 623, 236776, 28239, 7824, 32452, 2101, 26135, 28968, 236764, 27249, 236764, 532, 84960, 10498, 623, 31493, 1083, 11058, 2160, 236785, 236756, 236771, 236771, 236760, 236770, 805, 31851, 827, 623, 64915, 66444, 827, 623, 39134, 4252, 827, 623, 153085, 23642, 14255, 623, 70496, 1083, 11058, 80353, 827, 623, 27832, 99471, 106, 107, 105, 4368, 107, 20418, 4668, 236888, 564, 1765, 496, 7798, 7824, 1699, 25677, 547, 236784, 236770, 236771, 236770, 236761, 5715, 236789, 236751, 506, 9813, 7824, 1938, 236787, 108, 1018, 11835, 7343, 53121, 26135, 32462, 68683, 138, 107, 1018, 9770, 53121, 562, 28239, 7824, 32452, 2101, 26135, 28968, 236764, 27249, 236764, 532, 84960, 236761, 138, 107, 1018, 3503, 38456, 53121, 138, 107, 236772, 18048, 237168, 805, 31851, 138, 107, 236772, 43899, 66444, 138, 107, 236772, 66026, 4252, 138, 107, 236772, 142983, 23642, 138, 108, 2094, 7824, 3016, 5132, 14361, 532, 5422, 5192, 16441, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 7179, 506, 1032, 25677, 547, 2979, 568, 236828, 236832, 236825, 236786, 236812, 236810, 236778, 236768, 573, 9302, 22888, 236881, 138, 107, 236778, 236761, 39525, 13959, 14984, 573, 70295, 1699, 506, 3328, 15579, 1694, 236881, 138, 107, 236800, 236761, 59336, 3530, 23642, 653, 18333, 6549, 2721, 580, 672, 7824, 236881, 138, 108, 818, 1873, 7824, 5132, 1800, 14361, 532, 5422, 15579, 837, 12853, 822, 132567, 3548, 236764, 840, 692, 735, 4767, 5192, 3835, 2487, 699, 506, 3328, 15579, 1694, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 52705, 2197, 91624, 13696, 684, 26135, 6540, 532, 1202, 1601, 8159, 506, 1447, 7824, 4889, 236761, 5315, 236764, 564, 1461, 531, 11327, 2487, 9226, 22888, 4596, 531, 14361, 236772, 55952, 9576, 236761, 3199, 611, 1502, 684, 67896, 506, 7824, 4889, 573, 623, 126203, 2723, 236779, 230586, 236775, 1699, 506, 7824, 236779, 16988, 5904, 236881, 564, 236789, 859, 992, 1202, 611, 531, 1694, 784, 3328, 15579, 531, 1601, 607, 132567, 2460, 70295, 3209, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 70496, 1083, 78493, 3970, 1083, 623, 507, 827, 623, 1201, 1083, 623, 80353, 827, 623, 21877, 236779, 1201, 1083, 623, 45939, 236746, 236785, 236756, 236771, 236771, 236760, 236770, 551, 23179, 3714, 3970, 1083, 623, 501, 827, 623, 1201, 1083, 623, 27832, 827, 623, 21877, 236779, 1201, 1083, 623, 27832, 23179, 3714, 3970, 1083, 623, 1145, 827, 623, 1201, 1083, 623, 42150, 827, 623, 21877, 236779, 1201, 1083, 623, 171169, 236785, 236756, 236771, 236771, 236744, 236832, 2224, 23179, 3714, 3970, 1083, 623, 893, 827, 623, 1201, 1083, 623, 51423, 827, 623, 21877, 236779, 1201, 1083, 623, 133579, 23179, 3714, 3970, 1083, 623, 509, 827, 623, 1201, 1083, 623, 64835, 827, 623, 21877, 236779, 1201, 1083, 623, 64835, 236748, 23179, 3714, 3970, 1083, 623, 693, 827, 623, 1201, 1083, 623, 227601, 827, 623, 21877, 236779, 1201, 1083, 623, 8999, 27110, 236785, 236756, 236771, 236771, 82492, 25938, 1604, 623, 6725, 1083, 236743, 236825, 236764, 623, 721, 236779, 4000, 1083, 236743, 236770, 236771, 236771, 236764, 623, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 236777, 1765, 506, 1694, 529, 3328, 15579, 837, 5132, 14361, 568, 507, 779, 5422, 568, 501, 779, 7830, 568, 1145, 779, 9115, 568, 893, 779, 12896, 568, 509, 779, 532, 41082, 568, 693, 769, 3153, 236764, 993, 236789, 236751, 614, 4186, 607, 67896, 506, 623, 126203, 2723, 236779, 230586, 236775, 7824, 4889, 236787, 506, 2165, 14818, 236779, 16988, 236929, 5904, 7087, 496, 40155, 2165, 9438, 547, 236929, 7689, 568, 14818, 5853, 236768, 531, 12270, 1938, 236764, 840, 611, 236789, 560, 3847, 496, 7824, 1463, 5205, 236761, 28344, 611, 4024, 506, 3530, 7824, 5853, 611, 236789, 236753, 1133, 786, 531, 1385, 872, 236881, 1637, 611, 1537, 236789, 236745, 1281, 625, 236764, 564, 740, 1601, 611, 78543, 3435, 25677, 547, 2979, 4596, 531, 26135, 27249, 653, 3600, 9302, 12668, 236761, 106, 107, 105, 2364, 107, 236777, 1460, 506, 4186, 753, 1531, 236789, 236751, 2056, 25677, 547, 2979, 4596, 531, 26135, 6540, 236761, 28344, 611, 5686, 7824, 236779, 16988, 9139, 607, 25677, 547, 236784, 236770, 236771, 236770, 568, 167464, 1456, 573, 2780, 22888, 236768, 532, 25677, 547, 236784, 236828, 236832, 236825, 568, 74860, 5143, 607, 16403, 3668, 28968, 20625, 1637, 1724, 5121, 236764, 7463, 692, 740, 2426, 25677, 547, 236784, 236812, 236810, 236778, 837, 6494, 7412, 528, 9226, 2460, 56918, 236761, 3792, 236789, 236751, 1502, 607, 1239, 3435, 62606, 531, 1586, 506, 1447, 7824, 4889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 158333, 32462, 68683, 827, 623, 7777, 1083, 623, 236776, 28239, 7824, 32452, 2101, 26135, 28968, 236764, 27249, 236764, 532, 84960, 10498, 623, 31493, 1083, 11058, 2160, 236785, 236756, 236771, 236771, 236760, 236770, 805, 31851, 827, 623, 64915, 66444, 827, 623, 39134, 4252, 827, 623, 153085, 23642, 14255, 623, 70496, 1083, 11058, 80353, 827, 623, 27832, 99471, 106, 107, 105, 4368, 107, 20418, 4668, 236888, 564, 1765, 496, 7798, 7824, 1699, 25677, 547, 236784, 236770, 236771, 236770, 236761, 5715, 236789, 236751, 506, 9813, 7824, 1938, 236787, 108, 1018, 11835, 7343, 53121, 26135, 32462, 68683, 138, 107, 1018, 9770, 53121, 562, 28239, 7824, 32452, 2101, 26135, 28968, 236764, 27249, 236764, 532, 84960, 236761, 138, 107, 1018, 3503, 38456, 53121, 138, 107, 236772, 18048, 237168, 805, 31851, 138, 107, 236772, 43899, 66444, 138, 107, 236772, 66026, 4252, 138, 107, 236772, 142983, 23642, 138, 108, 2094, 7824, 3016, 5132, 14361, 532, 5422, 5192, 16441, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 7179, 506, 1032, 25677, 547, 2979, 568, 236828, 236832, 236825, 236786, 236812, 236810, 236778, 236768, 573, 9302, 22888, 236881, 138, 107, 236778, 236761, 39525, 13959, 14984, 573, 70295, 1699, 506, 3328, 15579, 1694, 236881, 138, 107, 236800, 236761, 59336, 3530, 23642, 653, 18333, 6549, 2721, 580, 672, 7824, 236881, 138, 108, 818, 1873, 7824, 5132, 1800, 14361, 532, 5422, 15579, 837, 12853, 822, 132567, 3548, 236764, 840, 692, 735, 4767, 5192, 3835, 2487, 699, 506, 3328, 15579, 1694, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 1601, 607, 24121, 496, 19406, 236761, 3551, 1873, 15858, 659, 5809, 531, 67896, 5410, 31866, 236761, 1637, 611, 236789, 236753, 1133, 786, 531, 1385, 872, 31866, 573, 496, 5410, 236764, 1164, 1531, 786, 1281, 506, 5410, 3822, 532, 8325, 1463, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 740, 236789, 236745, 1601, 607, 24121, 496, 19406, 236761, 3551, 1873, 15858, 659, 5809, 531, 67896, 5410, 31866, 236761, 1637, 611, 236789, 236753, 1133, 786, 531, 1385, 872, 31866, 573, 496, 5410, 236764, 1164, 1531, 786, 1281, 506, 5410, 3822, 532, 8325, 1463, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 3721, 496, 4429, 529, 506, 7502, 7940, 657, 14711, 236761, 28344, 611, 1601, 786, 8729, 1070, 7798, 30154, 573, 625, 236881, 106, 107, 105, 4368, 107, 2021, 8729, 7798, 30154, 573, 822, 4429, 529, 506, 7502, 7940, 657, 14711, 236764, 564, 236789, 859, 1202, 2802, 531, 506, 2471, 4850, 236761, 28344, 611, 5091, 2847, 3477, 236787, 107, 236770, 236761, 669, 2471, 2129, 568, 527, 496, 3225, 236825, 236812, 236772, 32626, 2483, 779, 653, 138, 107, 236778, 236761, 562, 25940, 15283, 10739, 1298, 506, 2471, 563, 22889, 236881, 138, 108, 2094, 795, 2174, 786, 531, 18840, 506, 3004, 23704, 532, 3600, 18997, 30154, 573, 26395, 653, 28436, 8616, 236761, 106, 107, 105, 2364, 107, 236777, 39788, 506, 4429, 531, 3073, 96761, 236787, 4560, 1411, 236747, 236761, 89631, 236761, 854, 236786, 236810, 117930, 117930, 117930, 236761, 4034, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 78493, 42999, 1083, 623, 98729, 827, 623, 8318, 1083, 236743, 236771, 236761, 236819, 236810, 1263, 3714, 42999, 1083, 623, 20882, 2279, 827, 623, 8318, 1083, 236743, 236771, 236761, 236828, 236810, 1263, 3714, 42999, 1083, 623, 39822, 827, 623, 8318, 1083, 236743, 236771, 236761, 236828, 1263, 3714, 42999, 1083, 623, 111012, 827, 623, 8318, 1083, 236743, 236771, 236761, 236832, 236810, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 7798, 30154, 573, 822, 4429, 529, 506, 7502, 7940, 657, 14711, 236764, 2721, 580, 506, 3671, 236787, 108, 236772, 5213, 98729, 1018, 568, 236771, 236761, 236819, 236810, 236768, 138, 107, 236772, 5213, 20882, 2279, 1018, 568, 236771, 236761, 236828, 236810, 236768, 138, 107, 236772, 5213, 39822, 1018, 568, 236771, 236761, 236828, 236768, 138, 107, 236772, 5213, 111012, 1018, 568, 236771, 236761, 236832, 236810, 236768, 138, 108, 9208, 30154, 7495, 506, 32879, 7426, 4820, 13207, 528, 822, 2471, 532, 740, 577, 1456, 573, 26395, 18088, 236764, 28436, 83431, 236764, 653, 3004, 193439, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 653, 11327, 4767, 4889, 236888, 236743, 247506, 106, 107, 105, 2364, 107, 20470, 236764, 80948, 563, 496, 6648, 25260, 2433, 607, 60408, 532, 160492, 237028, 13534, 659, 951, 13254, 14942, 236761, 669, 7502, 7940, 1590, 563, 57123, 236764, 834, 7463, 506, 30154, 1374, 7495, 2432, 1133, 808, 205895, 47784, 30237, 808, 7195, 149751, 30237, 808, 98729, 40409, 30237, 653, 808, 949, 1190, 236829, 568, 25142, 901, 236789, 500, 3364, 528, 506, 2433, 769, 28344, 611, 544, 236772, 187671, 506, 2471, 531, 6253, 573, 1239, 11459, 4065, 236881, 236743, 243536, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 78493, 42999, 1083, 623, 205895, 47784, 827, 623, 8318, 1083, 236743, 236771, 236761, 236819, 236810, 1263, 3714, 42999, 1083, 623, 7195, 149751, 827, 623, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 1263, 3714, 42999, 1083, 623, 98729, 40409, 827, 623, 8318, 1083, 236743, 236771, 236761, 236828, 236828, 1263, 3714, 42999, 1083, 623, 949, 1190, 827, 623, 8318, 1083, 236743, 236771, 236761, 236828, 236810, 1263, 3714, 42999, 1083, 623, 1364, 69695, 60408, 827, 623, 8318, 1083, 236743, 236771, 236761, 236828, 236800, 165075, 106, 107, 105, 4368, 107, 14782, 611, 573, 506, 19830, 236888, 4210, 544, 236772, 79082, 15383, 506, 2471, 607, 822, 3530, 4889, 1003, 80948, 236789, 236751, 57123, 160492, 532, 60408, 236764, 1590, 659, 506, 10448, 30154, 236787, 108, 236772, 5213, 205895, 47784, 1018, 568, 236771, 236761, 236819, 236810, 236768, 138, 107, 236772, 5213, 7195, 149751, 1018, 568, 236771, 236761, 236819, 236778, 236768, 138, 107, 236772, 5213, 98729, 40409, 1018, 568, 236771, 236761, 236828, 236828, 236768, 138, 107, 236772, 5213, 949, 1190, 1018, 568, 236771, 236761, 236828, 236810, 236768, 138, 107, 236772, 5213, 1364, 69695, 60408, 1018, 568, 236771, 236761, 236828, 236800, 236768, 138, 108, 9208, 1492, 23704, 7495, 506, 4065, 529, 506, 7502, 7940, 528, 80948, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 3342, 653, 1161, 1239, 573, 496, 3530, 5708, 236888, 236743, 243536, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 3721, 496, 4429, 529, 506, 7502, 7940, 657, 14711, 236761, 28344, 611, 1601, 786, 8729, 1070, 7798, 30154, 573, 625, 236881, 106, 107, 105, 4368, 107, 2021, 8729, 7798, 30154, 573, 822, 4429, 529, 506, 7502, 7940, 657, 14711, 236764, 564, 236789, 859, 1202, 2802, 531, 506, 2471, 4850, 236761, 28344, 611, 5091, 2847, 3477, 236787, 107, 236770, 236761, 669, 2471, 2129, 568, 527, 496, 3225, 236825, 236812, 236772, 32626, 2483, 779, 653, 138, 107, 236778, 236761, 562, 25940, 15283, 10739, 1298, 506, 2471, 563, 22889, 236881, 138, 108, 2094, 795, 2174, 786, 531, 18840, 506, 3004, 23704, 532, 3600, 18997, 30154, 573, 26395, 653, 28436, 8616, 236761, 106, 107, 105, 2364, 107, 236777, 39788, 506, 4429, 531, 3073, 96761, 236787, 4560, 1411, 236747, 236761, 89631, 236761, 854, 236786, 236810, 117930, 117930, 117930, 236761, 4034, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 78493, 42999, 1083, 623, 98729, 827, 623, 8318, 1083, 236743, 236771, 236761, 236819, 236810, 1263, 3714, 42999, 1083, 623, 20882, 2279, 827, 623, 8318, 1083, 236743, 236771, 236761, 236828, 236810, 1263, 3714, 42999, 1083, 623, 39822, 827, 623, 8318, 1083, 236743, 236771, 236761, 236828, 1263, 3714, 42999, 1083, 623, 111012, 827, 623, 8318, 1083, 236743, 236771, 236761, 236832, 236810, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 7798, 30154, 573, 822, 4429, 529, 506, 7502, 7940, 657, 14711, 236764, 2721, 580, 506, 3671, 236787, 108, 236772, 5213, 98729, 1018, 568, 236771, 236761, 236819, 236810, 236768, 138, 107, 236772, 5213, 20882, 2279, 1018, 568, 236771, 236761, 236828, 236810, 236768, 138, 107, 236772, 5213, 39822, 1018, 568, 236771, 236761, 236828, 236768, 138, 107, 236772, 5213, 111012, 1018, 568, 236771, 236761, 236832, 236810, 236768, 138, 108, 9208, 30154, 7495, 506, 32879, 7426, 4820, 13207, 528, 822, 2471, 532, 740, 577, 1456, 573, 26395, 18088, 236764, 28436, 83431, 236764, 653, 3004, 193439, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 653, 11327, 4767, 4889, 236888, 236743, 247506, 106, 107, 105, 2364, 107, 20470, 236764, 80948, 563, 496, 6648, 25260, 2433, 607, 60408, 532, 160492, 237028, 13534, 659, 951, 13254, 14942, 236761, 669, 7502, 7940, 1590, 563, 57123, 236764, 834, 7463, 506, 30154, 1374, 7495, 2432, 1133, 808, 205895, 47784, 30237, 808, 7195, 149751, 30237, 808, 98729, 40409, 30237, 653, 808, 949, 1190, 236829, 568, 25142, 901, 236789, 500, 3364, 528, 506, 2433, 769, 28344, 611, 544, 236772, 187671, 506, 2471, 531, 6253, 573, 1239, 11459, 4065, 236881, 236743, 243536, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 41427, 1083, 78493, 42999, 1083, 623, 205895, 47784, 827, 623, 8318, 1083, 236743, 236771, 236761, 236819, 236810, 1263, 3714, 42999, 1083, 623, 7195, 149751, 827, 623, 8318, 1083, 236743, 236771, 236761, 236819, 236778, 1263, 3714, 42999, 1083, 623, 98729, 40409, 827, 623, 8318, 1083, 236743, 236771, 236761, 236828, 236828, 1263, 3714, 42999, 1083, 623, 949, 1190, 827, 623, 8318, 1083, 236743, 236771, 236761, 236828, 236810, 1263, 3714, 42999, 1083, 623, 1364, 69695, 60408, 827, 623, 8318, 1083, 236743, 236771, 236761, 236828, 236800, 165075, 106, 107, 105, 4368, 107, 14782, 611, 573, 506, 19830, 236888, 4210, 544, 236772, 79082, 15383, 506, 2471, 607, 822, 3530, 4889, 1003, 80948, 236789, 236751, 57123, 160492, 532, 60408, 236764, 1590, 659, 506, 10448, 30154, 236787, 108, 236772, 5213, 205895, 47784, 1018, 568, 236771, 236761, 236819, 236810, 236768, 138, 107, 236772, 5213, 7195, 149751, 1018, 568, 236771, 236761, 236819, 236778, 236768, 138, 107, 236772, 5213, 98729, 40409, 1018, 568, 236771, 236761, 236828, 236828, 236768, 138, 107, 236772, 5213, 949, 1190, 1018, 568, 236771, 236761, 236828, 236810, 236768, 138, 107, 236772, 5213, 1364, 69695, 60408, 1018, 568, 236771, 236761, 236828, 236800, 236768, 138, 108, 9208, 1492, 23704, 7495, 506, 4065, 529, 506, 7502, 7940, 528, 80948, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 3342, 653, 1161, 1239, 573, 496, 3530, 5708, 236888, 236743, 243536, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 614, 11690, 1610, 19520, 3008, 37686, 211165, 2148, 9735, 532, 1202, 531, 2426, 506, 7606, 3439, 573, 1800, 9142, 24196, 4471, 109592, 17526, 568, 118980, 236814, 236768, 532, 8966, 593, 236761, 113541, 17526, 568, 67904, 7328, 769, 9187, 684, 67896, 506, 45801, 1425, 2072, 573, 223086, 236814, 236761, 1637, 27820, 563, 3426, 236743, 236810, 7635, 653, 993, 236789, 236751, 90419, 4588, 4785, 236764, 1500, 872, 607, 506, 45801, 1425, 573, 58894, 7328, 531, 10769, 3439, 236761, 18186, 580, 506, 1262, 236764, 3600, 3363, 692, 1374, 7162, 607, 506, 11690, 2460, 653, 1966, 21469, 24277, 1133, 506, 21912, 11109, 529, 9992, 3668, 21427, 1298, 564, 24564, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2576, 516, 1083, 3714, 7125, 1083, 623, 118980, 236814, 827, 623, 15879, 1083, 3714, 11243, 236779, 4312, 1498, 1083, 236743, 236770, 236778, 236764, 623, 16145, 236779, 64722, 1083, 236743, 236770, 236828, 236771, 1263, 623, 32463, 236779, 100403, 1083, 236743, 236825, 236764, 623, 138682, 1083, 78493, 2084, 1083, 623, 236806, 15191, 827, 623, 99062, 1083, 236743, 236778, 236810, 236771, 236771, 104960, 623, 27495, 236779, 236755, 1083, 236743, 236778, 236825, 236764, 623, 219616, 236779, 3947, 236779, 236755, 1083, 236743, 236778, 236770, 236764, 623, 19323, 1083, 2977, 1263, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 818, 45801, 1425, 2072, 573, 9142, 24196, 4471, 109592, 17526, 568, 118980, 236814, 236768, 3831, 236787, 107, 236772, 5213, 17717, 66515, 236743, 236825, 7635, 568, 46779, 506, 236743, 236810, 236772, 33432, 14272, 236768, 107, 236772, 5213, 102500, 66515, 7178, 3973, 657, 236743, 236778, 236764, 236810, 236771, 236771, 6172, 568, 236806, 15191, 236768, 107, 236772, 5213, 26588, 66515, 2301, 139938, 653, 31632, 107, 236772, 5213, 42554, 66515, 236743, 236770, 236778, 55717, 75720, 236770, 236812, 44269, 236768, 699, 506, 8710, 107, 236772, 5213, 51994, 66515, 236743, 236778, 236825, 237366, 236780, 568, 236832, 236828, 236761, 236828, 237366, 236811, 236768, 107, 236772, 5213, 131907, 10654, 66515, 236743, 236778, 236770, 237366, 236780, 568, 236825, 236819, 236761, 236828, 237366, 236811, 236768, 108, 10354, 111506, 236787, 107, 10081, 27820, 563, 7271, 532, 993, 236858, 236751, 951, 90419, 4588, 236764, 3439, 657, 223086, 236814, 3196, 20626, 573, 11690, 5085, 236761, 3153, 236764, 136767, 55748, 532, 1494, 31992, 568, 219616, 1523, 236768, 3600, 3435, 573, 6425, 1583, 653, 4813, 52098, 236761, 45801, 1425, 1262, 563, 1873, 236772, 8960, 236764, 711, 496, 14415, 236764, 834, 7020, 12496, 12532, 531, 506, 2460, 236761, 108, 1018, 67904, 7328, 9960, 66515, 3790, 3149, 1208, 822, 13138, 236764, 840, 1093, 611, 1133, 786, 531, 33205, 625, 573, 4767, 137675, 236881, 236743, 108, 2542, 1492, 236764, 7162, 607, 506, 11690, 19520, 840, 16422, 607, 506, 21912, 11109, 529, 9992, 3668, 21427, 618, 496, 83158, 2557, 528, 1624, 529, 112797, 3439, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 614, 11690, 1610, 19520, 3008, 37686, 211165, 2148, 9735, 532, 1202, 531, 2426, 506, 7606, 3439, 573, 1800, 9142, 24196, 4471, 109592, 17526, 568, 118980, 236814, 236768, 532, 8966, 593, 236761, 113541, 17526, 568, 67904, 7328, 769, 9187, 684, 67896, 506, 45801, 1425, 2072, 573, 223086, 236814, 236761, 1637, 27820, 563, 3426, 236743, 236810, 7635, 653, 993, 236789, 236751, 90419, 4588, 4785, 236764, 1500, 872, 607, 506, 45801, 1425, 573, 58894, 7328, 531, 10769, 3439, 236761, 18186, 580, 506, 1262, 236764, 3600, 3363, 692, 1374, 7162, 607, 506, 11690, 2460, 653, 1966, 21469, 24277, 1133, 506, 21912, 11109, 529, 9992, 3668, 21427, 1298, 564, 24564, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2576, 516, 1083, 3714, 7125, 1083, 623, 118980, 236814, 827, 623, 15879, 1083, 3714, 11243, 236779, 4312, 1498, 1083, 236743, 236770, 236778, 236764, 623, 16145, 236779, 64722, 1083, 236743, 236770, 236828, 236771, 1263, 623, 32463, 236779, 100403, 1083, 236743, 236825, 236764, 623, 138682, 1083, 78493, 2084, 1083, 623, 236806, 15191, 827, 623, 99062, 1083, 236743, 236778, 236810, 236771, 236771, 104960, 623, 27495, 236779, 236755, 1083, 236743, 236778, 236825, 236764, 623, 219616, 236779, 3947, 236779, 236755, 1083, 236743, 236778, 236770, 236764, 623, 19323, 1083, 2977, 1263, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 818, 45801, 1425, 2072, 573, 9142, 24196, 4471, 109592, 17526, 568, 118980, 236814, 236768, 3831, 236787, 107, 236772, 5213, 17717, 66515, 236743, 236825, 7635, 568, 46779, 506, 236743, 236810, 236772, 33432, 14272, 236768, 107, 236772, 5213, 102500, 66515, 7178, 3973, 657, 236743, 236778, 236764, 236810, 236771, 236771, 6172, 568, 236806, 15191, 236768, 107, 236772, 5213, 26588, 66515, 2301, 139938, 653, 31632, 107, 236772, 5213, 42554, 66515, 236743, 236770, 236778, 55717, 75720, 236770, 236812, 44269, 236768, 699, 506, 8710, 107, 236772, 5213, 51994, 66515, 236743, 236778, 236825, 237366, 236780, 568, 236832, 236828, 236761, 236828, 237366, 236811, 236768, 107, 236772, 5213, 131907, 10654, 66515, 236743, 236778, 236770, 237366, 236780, 568, 236825, 236819, 236761, 236828, 237366, 236811, 236768, 108, 10354, 111506, 236787, 107, 10081, 27820, 563, 7271, 532, 993, 236858, 236751, 951, 90419, 4588, 236764, 3439, 657, 223086, 236814, 3196, 20626, 573, 11690, 5085, 236761, 3153, 236764, 136767, 55748, 532, 1494, 31992, 568, 219616, 1523, 236768, 3600, 3435, 573, 6425, 1583, 653, 4813, 52098, 236761, 45801, 1425, 1262, 563, 1873, 236772, 8960, 236764, 711, 496, 14415, 236764, 834, 7020, 12496, 12532, 531, 506, 2460, 236761, 108, 1018, 67904, 7328, 9960, 66515, 3790, 3149, 1208, 822, 13138, 236764, 840, 1093, 611, 1133, 786, 531, 33205, 625, 573, 4767, 137675, 236881, 236743, 108, 2542, 1492, 236764, 7162, 607, 506, 11690, 19520, 840, 16422, 607, 506, 21912, 11109, 529, 9992, 3668, 21427, 618, 496, 83158, 2557, 528, 1624, 529, 112797, 3439, 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, 1156, 4699, 573, 496, 5117, 564, 236789, 236757, 67981, 236761, 2195, 236789, 500, 7467, 528, 1800, 9947, 532, 35620, 236761, 28344, 611, 974, 506, 6524, 17785, 1262, 573, 87342, 236798, 532, 506, 25809, 15067, 573, 34654, 11319, 236881, 564, 1461, 531, 1407, 1091, 1217, 1607, 4867, 19455, 740, 6230, 6828, 9886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 226046, 827, 623, 25385, 236779, 1201, 1083, 623, 31319, 5295, 10498, 623, 220929, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236800, 236771, 827, 623, 20055, 236779, 5600, 1083, 236743, 236771, 236761, 236819, 236810, 236764, 623, 51183, 236779, 5600, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 83122, 1083, 623, 236828, 236810, 236761, 236825, 236799, 827, 623, 27617, 1083, 623, 38556, 827, 623, 2576, 236779, 89729, 1083, 1847, 236764, 623, 4375, 1083, 623, 234755, 1262, 52236, 10428, 699, 55947, 19666, 9299, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 5911, 11319, 827, 623, 224665, 236779, 13126, 1083, 623, 27015, 827, 623, 28128, 236779, 85038, 567, 1083, 236743, 236778, 236761, 236810, 236764, 623, 12310, 925, 236779, 70686, 236779, 7284, 3843, 1083, 3714, 20786, 1083, 236743, 236832, 236771, 236764, 623, 2840, 1083, 236743, 236778, 236771, 236764, 623, 44916, 1083, 236743, 236770, 236771, 1263, 623, 58043, 236779, 4177, 1083, 3714, 30558, 1083, 236743, 236770, 236810, 236764, 623, 27851, 1083, 753, 236810, 1263, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31044, 3671, 531, 1601, 822, 5117, 3050, 1217, 1607, 4867, 19455, 6230, 6828, 9886, 236787, 108, 7243, 108, 10354, 5213, 31319, 568, 226046, 236768, 90137, 13768, 1018, 107, 236772, 5213, 54365, 90137, 568, 30651, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 1473, 1018, 107, 138, 236772, 5213, 37134, 40103, 53121, 609, 236771, 236761, 236819, 236810, 568, 21314, 236761, 9460, 609, 236771, 236761, 236819, 236778, 236768, 16130, 5213, 57949, 14287, 684, 236743, 236800, 236761, 236800, 236908, 84750, 107, 138, 236772, 5213, 87093, 53121, 609, 236828, 236810, 236761, 236825, 236799, 568, 27617, 236787, 23058, 769, 107, 138, 236772, 5213, 213739, 53121, 1787, 3641, 522, 17785, 14287, 14139, 3188, 17934, 3736, 236764, 837, 740, 12277, 29311, 10805, 236761, 34607, 9732, 1601, 5608, 3877, 24488, 236761, 108, 236772, 5213, 116075, 103057, 53121, 107, 138, 236772, 562, 9958, 17785, 12222, 1149, 7440, 5213, 2394, 13177, 1018, 12985, 10385, 236764, 29964, 4699, 236761, 107, 138, 236772, 34607, 15067, 659, 6749, 573, 38318, 2436, 5056, 573, 9947, 236789, 236751, 3211, 568, 236744, 236761, 236759, 1126, 103332, 236764, 3019, 769, 108, 7243, 108, 10354, 5213, 132473, 568, 5911, 11319, 236768, 111506, 48993, 1018, 107, 236772, 5213, 19510, 925, 145209, 568, 2205, 529, 6198, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1473, 1018, 107, 138, 236772, 5213, 35089, 111506, 53121, 236743, 236778, 236761, 236810, 568, 498, 496, 236743, 236770, 236772, 236810, 5559, 236764, 1298, 236743, 236770, 236784, 51757, 17151, 236764, 236743, 236810, 236784, 51757, 55409, 769, 107, 138, 236772, 5213, 38782, 3843, 53121, 236743, 236832, 236771, 236908, 17151, 236764, 236743, 236778, 236771, 236908, 21007, 236764, 236743, 236770, 236771, 236908, 55409, 236761, 107, 138, 236772, 5213, 65965, 34356, 53121, 900, 236770, 236810, 236908, 4414, 24637, 236764, 753, 236810, 236908, 5676, 24637, 528, 34799, 27078, 236761, 108, 236772, 5213, 116075, 103057, 53121, 107, 138, 236772, 562, 623, 27015, 236775, 29945, 607, 1494, 28590, 528, 24074, 568, 236770, 236771, 236908, 55409, 236768, 12205, 5213, 127669, 8628, 19490, 1018, 1003, 35620, 236789, 236751, 3877, 3435, 532, 13682, 568, 236744, 236761, 236759, 1126, 8105, 236764, 3719, 8991, 769, 107, 138, 236772, 63087, 15067, 8357, 5213, 86896, 236772, 27612, 27078, 125546, 837, 1149, 12056, 531, 3877, 13177, 236761, 108, 7243, 108, 10354, 5213, 163447, 76374, 573, 5180, 15755, 1018, 107, 236770, 236761, 5213, 234755, 7728, 236761, 91330, 53121, 107, 139, 236772, 5213, 31319, 1018, 29350, 4867, 11646, 568, 79030, 17785, 779, 3043, 625, 496, 3435, 623, 6102, 7046, 236775, 528, 496, 15771, 236761, 107, 139, 236772, 5213, 132473, 1018, 22136, 496, 1494, 236772, 45882, 236764, 1494, 236772, 37716, 8781, 236764, 1298, 34799, 27078, 21090, 43866, 236761, 108, 236778, 236761, 5213, 71398, 532, 34428, 53121, 107, 139, 236772, 90137, 1262, 568, 5282, 87342, 236798, 236789, 236751, 236768, 563, 6749, 573, 5213, 164712, 3671, 125546, 19541, 580, 46407, 532, 10471, 236761, 107, 139, 236772, 63087, 15136, 568, 1708, 34654, 11319, 236768, 7495, 5213, 16350, 30157, 1018, 532, 2822, 236772, 6061, 14682, 236764, 837, 740, 88866, 3385, 60956, 236761, 108, 236800, 236761, 5213, 4396, 742, 83401, 53121, 107, 139, 236772, 128527, 506, 5117, 531, 17794, 19455, 236787, 1701, 2591, 236764, 496, 2544, 607, 3188, 17785, 808, 624, 236829, 14526, 34799, 27078, 568, 5282, 87342, 236798, 900, 34654, 11319, 15067, 236768, 2473, 1861, 496, 33348, 5506, 236761, 107, 139, 236772, 118189, 506, 8020, 529, 990, 32151, 236787, 9947, 236789, 236751, 4803, 17785, 568, 30651, 236743, 236778, 236771, 236778, 236812, 236768, 659, 919, 1873, 1082, 35620, 236789, 236751, 15136, 568, 36817, 236743, 236778, 236771, 236778, 236800, 779, 834, 195691, 11949, 236761, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 107, 236772, 44906, 1239, 19455, 607, 25898, 2436, 80293, 568, 236744, 236761, 236759, 1126, 555, 236880, 236791, 236743, 236810, 236771, 236771, 17785, 3877, 236764, 7095, 236772, 15396, 15067, 769, 107, 236772, 56571, 1217, 97273, 5872, 568, 236744, 236761, 236759, 1126, 2142, 6224, 236764, 6429, 7797, 4342, 236768, 2473, 4100, 1800, 4699, 22793, 236761, 108, 2094, 4313, 1374, 1601, 506, 5117, 1460, 1217, 25030, 1262, 568, 220929, 236768, 532, 34143, 27078, 568, 85038, 847, 236768, 12740, 528, 1759, 236772, 12392, 6828, 9886, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 32187, 1156, 4699, 573, 496, 5117, 564, 236789, 236757, 67981, 236761, 2195, 236789, 500, 7467, 528, 1800, 9947, 532, 35620, 236761, 28344, 611, 974, 506, 6524, 17785, 1262, 573, 87342, 236798, 532, 506, 25809, 15067, 573, 34654, 11319, 236881, 564, 1461, 531, 1407, 1091, 1217, 1607, 4867, 19455, 740, 6230, 6828, 9886, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 226046, 827, 623, 25385, 236779, 1201, 1083, 623, 31319, 5295, 10498, 623, 220929, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236812, 236772, 236800, 236771, 827, 623, 20055, 236779, 5600, 1083, 236743, 236771, 236761, 236819, 236810, 236764, 623, 51183, 236779, 5600, 1083, 236743, 236771, 236761, 236819, 236778, 236764, 623, 83122, 1083, 623, 236828, 236810, 236761, 236825, 236799, 827, 623, 27617, 1083, 623, 38556, 827, 623, 2576, 236779, 89729, 1083, 1847, 236764, 623, 4375, 1083, 623, 234755, 1262, 52236, 10428, 699, 55947, 19666, 9299, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 22037, 1083, 623, 5911, 11319, 827, 623, 224665, 236779, 13126, 1083, 623, 27015, 827, 623, 28128, 236779, 85038, 567, 1083, 236743, 236778, 236761, 236810, 236764, 623, 12310, 925, 236779, 70686, 236779, 7284, 3843, 1083, 3714, 20786, 1083, 236743, 236832, 236771, 236764, 623, 2840, 1083, 236743, 236778, 236771, 236764, 623, 44916, 1083, 236743, 236770, 236771, 1263, 623, 58043, 236779, 4177, 1083, 3714, 30558, 1083, 236743, 236770, 236810, 236764, 623, 27851, 1083, 753, 236810, 1263, 623, 527, 236779, 1340, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31044, 3671, 531, 1601, 822, 5117, 3050, 1217, 1607, 4867, 19455, 6230, 6828, 9886, 236787, 108, 7243, 108, 10354, 5213, 31319, 568, 226046, 236768, 90137, 13768, 1018, 107, 236772, 5213, 54365, 90137, 568, 30651, 236743, 236800, 236771, 236764, 236743, 236778, 236771, 236778, 236812, 1473, 1018, 107, 138, 236772, 5213, 37134, 40103, 53121, 609, 236771, 236761, 236819, 236810, 568, 21314, 236761, 9460, 609, 236771, 236761, 236819, 236778, 236768, 16130, 5213, 57949, 14287, 684, 236743, 236800, 236761, 236800, 236908, 84750, 107, 138, 236772, 5213, 87093, 53121, 609, 236828, 236810, 236761, 236825, 236799, 568, 27617, 236787, 23058, 769, 107, 138, 236772, 5213, 213739, 53121, 1787, 3641, 522, 17785, 14287, 14139, 3188, 17934, 3736, 236764, 837, 740, 12277, 29311, 10805, 236761, 34607, 9732, 1601, 5608, 3877, 24488, 236761, 108, 236772, 5213, 116075, 103057, 53121, 107, 138, 236772, 562, 9958, 17785, 12222, 1149, 7440, 5213, 2394, 13177, 1018, 12985, 10385, 236764, 29964, 4699, 236761, 107, 138, 236772, 34607, 15067, 659, 6749, 573, 38318, 2436, 5056, 573, 9947, 236789, 236751, 3211, 568, 236744, 236761, 236759, 1126, 103332, 236764, 3019, 769, 108, 7243, 108, 10354, 5213, 132473, 568, 5911, 11319, 236768, 111506, 48993, 1018, 107, 236772, 5213, 19510, 925, 145209, 568, 2205, 529, 6198, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 1473, 1018, 107, 138, 236772, 5213, 35089, 111506, 53121, 236743, 236778, 236761, 236810, 568, 498, 496, 236743, 236770, 236772, 236810, 5559, 236764, 1298, 236743, 236770, 236784, 51757, 17151, 236764, 236743, 236810, 236784, 51757, 55409, 769, 107, 138, 236772, 5213, 38782, 3843, 53121, 236743, 236832, 236771, 236908, 17151, 236764, 236743, 236778, 236771, 236908, 21007, 236764, 236743, 236770, 236771, 236908, 55409, 236761, 107, 138, 236772, 5213, 65965, 34356, 53121, 900, 236770, 236810, 236908, 4414, 24637, 236764, 753, 236810, 236908, 5676, 24637, 528, 34799, 27078, 236761, 108, 236772, 5213, 116075, 103057, 53121, 107, 138, 236772, 562, 623, 27015, 236775, 29945, 607, 1494, 28590, 528, 24074, 568, 236770, 236771, 236908, 55409, 236768, 12205, 5213, 127669, 8628, 19490, 1018, 1003, 35620, 236789, 236751, 3877, 3435, 532, 13682, 568, 236744, 236761, 236759, 1126, 8105, 236764, 3719, 8991, 769, 107, 138, 236772, 63087, 15067, 8357, 5213, 86896, 236772, 27612, 27078, 125546, 837, 1149, 12056, 531, 3877, 13177, 236761, 108, 7243, 108, 10354, 5213, 163447, 76374, 573, 5180, 15755, 1018, 107, 236770, 236761, 5213, 234755, 7728, 236761, 91330, 53121, 107, 139, 236772, 5213, 31319, 1018, 29350, 4867, 11646, 568, 79030, 17785, 779, 3043, 625, 496, 3435, 623, 6102, 7046, 236775, 528, 496, 15771, 236761, 107, 139, 236772, 5213, 132473, 1018, 22136, 496, 1494, 236772, 45882, 236764, 1494, 236772, 37716, 8781, 236764, 1298, 34799, 27078, 21090, 43866, 236761, 108, 236778, 236761, 5213, 71398, 532, 34428, 53121, 107, 139, 236772, 90137, 1262, 568, 5282, 87342, 236798, 236789, 236751, 236768, 563, 6749, 573, 5213, 164712, 3671, 125546, 19541, 580, 46407, 532, 10471, 236761, 107, 139, 236772, 63087, 15136, 568, 1708, 34654, 11319, 236768, 7495, 5213, 16350, 30157, 1018, 532, 2822, 236772, 6061, 14682, 236764, 837, 740, 88866, 3385, 60956, 236761, 108, 236800, 236761, 5213, 4396, 742, 83401, 53121, 107, 139, 236772, 128527, 506, 5117, 531, 17794, 19455, 236787, 1701, 2591, 236764, 496, 2544, 607, 3188, 17785, 808, 624, 236829, 14526, 34799, 27078, 568, 5282, 87342, 236798, 900, 34654, 11319, 15067, 236768, 2473, 1861, 496, 33348, 5506, 236761, 107, 139, 236772, 118189, 506, 8020, 529, 990, 32151, 236787, 9947, 236789, 236751, 4803, 17785, 568, 30651, 236743, 236778, 236771, 236778, 236812, 236768, 659, 919, 1873, 1082, 35620, 236789, 236751, 15136, 568, 36817, 236743, 236778, 236771, 236778, 236800, 779, 834, 195691, 11949, 236761, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 107, 236772, 44906, 1239, 19455, 607, 25898, 2436, 80293, 568, 236744, 236761, 236759, 1126, 555, 236880, 236791, 236743, 236810, 236771, 236771, 17785, 3877, 236764, 7095, 236772, 15396, 15067, 769, 107, 236772, 56571, 1217, 97273, 5872, 568, 236744, 236761, 236759, 1126, 2142, 6224, 236764, 6429, 7797, 4342, 236768, 2473, 4100, 1800, 4699, 22793, 236761, 108, 2094, 4313, 1374, 1601, 506, 5117, 1460, 1217, 25030, 1262, 568, 220929, 236768, 532, 34143, 27078, 568, 85038, 847, 236768, 12740, 528, 1759, 236772, 12392, 6828, 9886, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 12270, 506, 18660, 4241, 14906, 573, 506, 35312, 2290, 657, 36732, 582, 13750, 236858, 236751, 120621, 1774, 8224, 12399, 236881, 564, 1461, 531, 18840, 506, 1806, 236772, 134923, 532, 65810, 24781, 531, 100257, 1041, 4122, 15668, 236761, 106, 107, 105, 4368, 107, 236777, 1202, 506, 3530, 4241, 5853, 531, 33205, 14906, 573, 506, 36732, 582, 13750, 120621, 35312, 2290, 236761, 669, 18660, 236779, 10480, 236779, 80284, 5904, 7087, 496, 4241, 236779, 547, 7689, 236764, 837, 42182, 531, 623, 236770, 236771, 236800, 236770, 236812, 236832, 236771, 236812, 236775, 768, 711, 3847, 236761, 3153, 236764, 672, 3678, 5853, 4547, 17671, 531, 496, 5707, 4241, 4319, 1082, 822, 2263, 120621, 2290, 236761, 1637, 611, 735, 506, 3530, 4241, 5853, 699, 506, 3892, 14900, 2509, 236764, 5091, 4024, 625, 834, 564, 740, 12270, 506, 4338, 14906, 573, 3671, 236761, 106, 107, 105, 2364, 107, 24019, 236764, 1447, 237028, 6047, 4972, 1537, 236858, 236745, 974, 13720, 62606, 684, 506, 9299, 236761, 3792, 236858, 236751, 38179, 236761, 28344, 611, 2426, 20310, 38332, 528, 36732, 582, 13750, 573, 496, 1944, 11452, 2557, 236881, 564, 1202, 496, 1977, 1208, 609, 236828, 236771, 236771, 236786, 11283, 607, 657, 3198, 886, 15406, 532, 33417, 531, 31663, 172648, 573, 18014, 236761, 6890, 506, 974, 236779, 1344, 1294, 5904, 607, 1724, 18774, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1344, 1294, 1083, 78493, 547, 1083, 623, 42771, 236823, 236772, 102258, 236772, 236778, 236778, 236770, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 223401, 3587, 236764, 36732, 582, 13750, 827, 623, 9707, 1083, 236743, 236832, 236810, 236771, 236764, 623, 215992, 1083, 236743, 236771, 236764, 623, 51992, 10868, 1083, 236743, 236770, 236764, 623, 12363, 236779, 2084, 1083, 623, 169526, 827, 623, 16518, 1083, 11058, 39952, 31663, 172648, 827, 623, 102424, 5012, 827, 623, 7043, 236772, 18865, 14255, 623, 56905, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236770, 23179, 3714, 547, 1083, 623, 42771, 236823, 236772, 102258, 236772, 236778, 236778, 236828, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 33518, 16351, 236764, 36732, 582, 13750, 827, 623, 9707, 1083, 236743, 236832, 236828, 236810, 236764, 623, 215992, 1083, 236743, 236771, 236764, 623, 51992, 10868, 1083, 236743, 236770, 236764, 623, 12363, 236779, 2084, 1083, 623, 169526, 827, 623, 16518, 1083, 11058, 67637, 1927, 827, 623, 236752, 91582, 2802, 827, 623, 15721, 236772, 6061, 20850, 14255, 623, 56905, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1156, 11452, 33738, 528, 36732, 582, 13750, 16590, 822, 13138, 236787, 108, 236770, 236761, 5213, 236770, 236778, 236800, 223401, 3587, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236832, 236810, 236771, 236786, 11283, 138, 107, 139, 236772, 5213, 27144, 66515, 25634, 31663, 172648, 236764, 33586, 5012, 236764, 4493, 236772, 18865, 138, 107, 139, 236772, 5213, 51164, 66515, 5142, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236778, 236761, 5213, 236812, 236810, 236825, 33518, 16351, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236832, 236828, 236810, 236786, 11283, 138, 107, 139, 236772, 5213, 27144, 66515, 9630, 1927, 236764, 33619, 2802, 236764, 2822, 236772, 6061, 20850, 3835, 138, 107, 139, 236772, 5213, 51164, 66515, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 22186, 5082, 659, 2351, 822, 7715, 532, 3204, 496, 15406, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 6778, 12425, 236764, 6253, 3385, 236768, 653, 3662, 83128, 573, 4767, 4889, 236881, 106, 107, 105, 2364, 107, 11431, 506, 83128, 573, 1800, 5082, 531, 68256, 1003, 12660, 15830, 532, 14484, 236772, 12383, 23257, 236761, 564, 236858, 859, 1202, 1724, 4889, 531, 10741, 837, 100146, 2480, 607, 1041, 11452, 10884, 3548, 573, 15017, 1702, 981, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 506, 20478, 531, 3662, 83128, 653, 5039, 10396, 1343, 506, 6436, 2487, 531, 786, 236761, 669, 5213, 828, 236779, 1344, 1294, 1018, 5904, 1186, 165522, 20104, 1262, 236764, 840, 4038, 236789, 236745, 3204, 18544, 573, 1982, 7283, 653, 45174, 236761, 236743, 108, 2542, 12660, 532, 14484, 236772, 12383, 4889, 236764, 611, 236858, 236753, 1202, 531, 236787, 107, 236770, 236761, 26922, 506, 3670, 17909, 568, 584, 9456, 528, 506, 20310, 4889, 769, 107, 236778, 236761, 6890, 3662, 1938, 3847, 528, 506, 20310, 38332, 568, 236744, 236761, 236759, 1126, 5154, 4945, 653, 24157, 769, 107, 236800, 236761, 76217, 855, 531, 506, 83128, 5467, 607, 822, 4137, 236761, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 786, 531, 18840, 506, 6330, 1262, 3342, 568, 236744, 236761, 236759, 1126, 10769, 4065, 236764, 59638, 18774, 236768, 653, 8214, 611, 1343, 2148, 6555, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 12270, 506, 18660, 4241, 14906, 573, 506, 35312, 2290, 657, 36732, 582, 13750, 236858, 236751, 120621, 1774, 8224, 12399, 236881, 564, 1461, 531, 18840, 506, 1806, 236772, 134923, 532, 65810, 24781, 531, 100257, 1041, 4122, 15668, 236761, 106, 107, 105, 4368, 107, 236777, 1202, 506, 3530, 4241, 5853, 531, 33205, 14906, 573, 506, 36732, 582, 13750, 120621, 35312, 2290, 236761, 669, 18660, 236779, 10480, 236779, 80284, 5904, 7087, 496, 4241, 236779, 547, 7689, 236764, 837, 42182, 531, 623, 236770, 236771, 236800, 236770, 236812, 236832, 236771, 236812, 236775, 768, 711, 3847, 236761, 3153, 236764, 672, 3678, 5853, 4547, 17671, 531, 496, 5707, 4241, 4319, 1082, 822, 2263, 120621, 2290, 236761, 1637, 611, 735, 506, 3530, 4241, 5853, 699, 506, 3892, 14900, 2509, 236764, 5091, 4024, 625, 834, 564, 740, 12270, 506, 4338, 14906, 573, 3671, 236761, 106, 107, 105, 2364, 107, 24019, 236764, 1447, 237028, 6047, 4972, 1537, 236858, 236745, 974, 13720, 62606, 684, 506, 9299, 236761, 3792, 236858, 236751, 38179, 236761, 28344, 611, 2426, 20310, 38332, 528, 36732, 582, 13750, 573, 496, 1944, 11452, 2557, 236881, 564, 1202, 496, 1977, 1208, 609, 236828, 236771, 236771, 236786, 11283, 607, 657, 3198, 886, 15406, 532, 33417, 531, 31663, 172648, 573, 18014, 236761, 6890, 506, 974, 236779, 1344, 1294, 5904, 607, 1724, 18774, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1344, 1294, 1083, 78493, 547, 1083, 623, 42771, 236823, 236772, 102258, 236772, 236778, 236778, 236770, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 223401, 3587, 236764, 36732, 582, 13750, 827, 623, 9707, 1083, 236743, 236832, 236810, 236771, 236764, 623, 215992, 1083, 236743, 236771, 236764, 623, 51992, 10868, 1083, 236743, 236770, 236764, 623, 12363, 236779, 2084, 1083, 623, 169526, 827, 623, 16518, 1083, 11058, 39952, 31663, 172648, 827, 623, 102424, 5012, 827, 623, 7043, 236772, 18865, 14255, 623, 56905, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236771, 236770, 23179, 3714, 547, 1083, 623, 42771, 236823, 236772, 102258, 236772, 236778, 236778, 236828, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 33518, 16351, 236764, 36732, 582, 13750, 827, 623, 9707, 1083, 236743, 236832, 236828, 236810, 236764, 623, 215992, 1083, 236743, 236771, 236764, 623, 51992, 10868, 1083, 236743, 236770, 236764, 623, 12363, 236779, 2084, 1083, 623, 169526, 827, 623, 16518, 1083, 11058, 67637, 1927, 827, 623, 236752, 91582, 2802, 827, 623, 15721, 236772, 6061, 20850, 14255, 623, 56905, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236810, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236770, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1156, 11452, 33738, 528, 36732, 582, 13750, 16590, 822, 13138, 236787, 108, 236770, 236761, 5213, 236770, 236778, 236800, 223401, 3587, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236832, 236810, 236771, 236786, 11283, 138, 107, 139, 236772, 5213, 27144, 66515, 25634, 31663, 172648, 236764, 33586, 5012, 236764, 4493, 236772, 18865, 138, 107, 139, 236772, 5213, 51164, 66515, 5142, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 236778, 236761, 5213, 236812, 236810, 236825, 33518, 16351, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236832, 236828, 236810, 236786, 11283, 138, 107, 139, 236772, 5213, 27144, 66515, 9630, 1927, 236764, 33619, 2802, 236764, 2822, 236772, 6061, 20850, 3835, 138, 107, 139, 236772, 5213, 51164, 66515, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 22186, 5082, 659, 2351, 822, 7715, 532, 3204, 496, 15406, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 3927, 3342, 568, 236744, 236761, 236759, 1126, 6778, 12425, 236764, 6253, 3385, 236768, 653, 3662, 83128, 573, 4767, 4889, 236881, 106, 107, 105, 2364, 107, 11431, 506, 83128, 573, 1800, 5082, 531, 68256, 1003, 12660, 15830, 532, 14484, 236772, 12383, 23257, 236761, 564, 236858, 859, 1202, 1724, 4889, 531, 10741, 837, 100146, 2480, 607, 1041, 11452, 10884, 3548, 573, 15017, 1702, 981, 236761, 106, 107, 105, 4368, 107, 236777, 5633, 1537, 236789, 236745, 735, 506, 20478, 531, 3662, 83128, 653, 5039, 10396, 1343, 506, 6436, 2487, 531, 786, 236761, 669, 5213, 828, 236779, 1344, 1294, 1018, 5904, 1186, 165522, 20104, 1262, 236764, 840, 4038, 236789, 236745, 3204, 18544, 573, 1982, 7283, 653, 45174, 236761, 236743, 108, 2542, 12660, 532, 14484, 236772, 12383, 4889, 236764, 611, 236858, 236753, 1202, 531, 236787, 107, 236770, 236761, 26922, 506, 3670, 17909, 568, 584, 9456, 528, 506, 20310, 4889, 769, 107, 236778, 236761, 6890, 3662, 1938, 3847, 528, 506, 20310, 38332, 568, 236744, 236761, 236759, 1126, 5154, 4945, 653, 24157, 769, 107, 236800, 236761, 76217, 855, 531, 506, 83128, 5467, 607, 822, 4137, 236761, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 786, 531, 18840, 506, 6330, 1262, 3342, 568, 236744, 236761, 236759, 1126, 10769, 4065, 236764, 59638, 18774, 236768, 653, 8214, 611, 1343, 2148, 6555, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 22293, 496, 52705, 2197, 91624, 672, 8224, 528, 708, 2592, 9124, 6862, 236764, 532, 506, 65911, 3393, 563, 236743, 236810, 236778, 236810, 236832, 236832, 236761, 564, 1461, 531, 1281, 506, 51599, 7606, 14415, 573, 8224, 12399, 1534, 236743, 236778, 8711, 532, 236743, 236825, 8711, 531, 10741, 768, 692, 740, 21236, 1076, 872, 506, 11690, 33398, 236761, 6542, 236764, 1451, 611, 2426, 768, 993, 659, 1027, 5158, 7606, 51679, 573, 506, 4251, 1883, 529, 26168, 236881, 564, 236858, 236753, 17554, 531, 13027, 1774, 9641, 768, 993, 236858, 236751, 12778, 7606, 72519, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52511, 1083, 78493, 13807, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236778, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 44340, 236779, 60423, 1083, 236743, 236810, 236764, 623, 15879, 236779, 11243, 1083, 623, 236810, 44269, 23179, 3714, 13807, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236812, 236764, 623, 19216, 1083, 623, 196224, 130915, 827, 623, 44340, 236779, 60423, 1083, 236743, 236770, 236810, 236764, 623, 15879, 236779, 11243, 1083, 623, 236825, 44269, 23179, 3714, 13807, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236810, 236764, 623, 19216, 1083, 623, 12098, 21481, 827, 623, 44340, 236779, 60423, 1083, 236743, 236812, 236771, 236764, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 23179, 3714, 13807, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 236774, 236770, 236832, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236825, 236764, 623, 19216, 1083, 623, 45060, 827, 623, 44340, 236779, 60423, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 623, 236770, 236771, 44269, 23179, 3714, 13807, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236810, 236764, 623, 19216, 1083, 623, 71476, 21481, 827, 623, 44340, 236779, 60423, 1083, 236743, 236828, 236771, 236764, 623, 15879, 236779, 11243, 1083, 623, 236770, 236778, 44269, 25938, 1604, 623, 16023, 236779, 6011, 1083, 3714, 5034, 236779, 122376, 236779, 236747, 9240, 1083, 1847, 236764, 623, 122376, 1083, 78493, 94156, 1083, 623, 74742, 16501, 827, 623, 127243, 1083, 623, 166920, 827, 623, 7777, 1083, 623, 104884, 573, 13053, 36168, 2779, 531, 35269, 7274, 37494, 1781, 15947, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 122376, 1083, 78493, 5106, 1083, 623, 217607, 40520, 28993, 62436, 827, 623, 127243, 1083, 623, 217607, 827, 623, 7777, 1083, 623, 236776, 12778, 90419, 563, 29220, 236761, 48434, 7274, 6927, 236764, 89352, 236764, 532, 2653, 219491, 10498, 623, 25931, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 5106, 1083, 623, 74742, 31379, 827, 623, 127243, 1083, 623, 166920, 827, 623, 7777, 1083, 623, 9881, 5829, 563, 4275, 528, 2708, 236772, 4271, 4106, 236761, 39874, 4301, 528, 9034, 9576, 10498, 623, 25931, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236825, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 22515, 580, 506, 7606, 1262, 52236, 573, 708, 2592, 9124, 6862, 236764, 51279, 568, 92824, 236743, 236810, 236778, 236810, 236832, 236832, 779, 1590, 236789, 236751, 506, 32672, 573, 8224, 12399, 236787, 108, 1018, 236527, 74544, 568, 236778, 8711, 753, 236743, 236825, 8711, 1473, 1018, 107, 236772, 5213, 236778, 236787, 236771, 236771, 8711, 53121, 236743, 236832, 236778, 237366, 236811, 236764, 216726, 130915, 568, 236810, 236908, 6927, 6584, 236768, 107, 236772, 5213, 236800, 236787, 236771, 236771, 8711, 53121, 236743, 236832, 236812, 237366, 236811, 236764, 96056, 130915, 568, 236770, 236810, 236908, 6927, 6584, 236768, 107, 236772, 5213, 236812, 236787, 236771, 236771, 8711, 53121, 236743, 236832, 236810, 237366, 236811, 236764, 10847, 21481, 568, 236812, 236771, 236908, 6927, 6584, 236768, 107, 236772, 5213, 236810, 236787, 236771, 236771, 8711, 53121, 236743, 236832, 236825, 237366, 236811, 236764, 21481, 568, 236825, 236810, 236908, 6927, 6584, 236768, 107, 236772, 5213, 236825, 236787, 236771, 236771, 8711, 53121, 236743, 236832, 236810, 237366, 236811, 236764, 39591, 21481, 568, 236828, 236771, 236908, 6927, 6584, 236764, 236743, 236770, 236778, 44269, 29146, 236768, 108, 1018, 14009, 28789, 165731, 573, 26168, 53121, 107, 236772, 5213, 74742, 16501, 568, 166920, 146151, 1473, 1018, 51508, 573, 13053, 36168, 2779, 531, 35269, 7274, 37494, 236761, 108, 1018, 211199, 53121, 138, 107, 8409, 3439, 3196, 20626, 3649, 528, 506, 12399, 236764, 7274, 6927, 532, 36168, 13682, 3553, 8792, 684, 5226, 12399, 236761, 14066, 236787, 107, 236770, 236761, 45325, 12496, 12532, 531, 506, 2460, 107, 236778, 236761, 94109, 496, 6927, 83158, 2731, 107, 236800, 236761, 146671, 11690, 33398, 563, 5583, 79305, 44081, 107, 236812, 236761, 3790, 6323, 12286, 1003, 3435, 7606, 30981, 108, 38786, 611, 1133, 786, 531, 2426, 573, 1027, 4767, 12496, 653, 3530, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 22293, 496, 52705, 2197, 91624, 672, 8224, 528, 708, 2592, 9124, 6862, 236764, 532, 506, 65911, 3393, 563, 236743, 236810, 236778, 236810, 236832, 236832, 236761, 564, 1461, 531, 1281, 506, 51599, 7606, 14415, 573, 8224, 12399, 1534, 236743, 236778, 8711, 532, 236743, 236825, 8711, 531, 10741, 768, 692, 740, 21236, 1076, 872, 506, 11690, 33398, 236761, 6542, 236764, 1451, 611, 2426, 768, 993, 659, 1027, 5158, 7606, 51679, 573, 506, 4251, 1883, 529, 26168, 236881, 564, 236858, 236753, 17554, 531, 13027, 1774, 9641, 768, 993, 236858, 236751, 12778, 7606, 72519, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52511, 1083, 78493, 13807, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236778, 236764, 623, 19216, 1083, 623, 7783, 586, 130915, 827, 623, 44340, 236779, 60423, 1083, 236743, 236810, 236764, 623, 15879, 236779, 11243, 1083, 623, 236810, 44269, 23179, 3714, 13807, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 236774, 236770, 236810, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236812, 236764, 623, 19216, 1083, 623, 196224, 130915, 827, 623, 44340, 236779, 60423, 1083, 236743, 236770, 236810, 236764, 623, 15879, 236779, 11243, 1083, 623, 236825, 44269, 23179, 3714, 13807, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 236774, 236770, 236825, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236810, 236764, 623, 19216, 1083, 623, 12098, 21481, 827, 623, 44340, 236779, 60423, 1083, 236743, 236812, 236771, 236764, 623, 15879, 236779, 11243, 1083, 623, 236828, 44269, 23179, 3714, 13807, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 236774, 236770, 236832, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236825, 236764, 623, 19216, 1083, 623, 45060, 827, 623, 44340, 236779, 60423, 1083, 236743, 236825, 236810, 236764, 623, 15879, 236779, 11243, 1083, 623, 236770, 236771, 44269, 23179, 3714, 13807, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236770, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 27495, 1083, 236743, 236832, 236810, 236764, 623, 19216, 1083, 623, 71476, 21481, 827, 623, 44340, 236779, 60423, 1083, 236743, 236828, 236771, 236764, 623, 15879, 236779, 11243, 1083, 623, 236770, 236778, 44269, 25938, 1604, 623, 16023, 236779, 6011, 1083, 3714, 5034, 236779, 122376, 236779, 236747, 9240, 1083, 1847, 236764, 623, 122376, 1083, 78493, 94156, 1083, 623, 74742, 16501, 827, 623, 127243, 1083, 623, 166920, 827, 623, 7777, 1083, 623, 104884, 573, 13053, 36168, 2779, 531, 35269, 7274, 37494, 1781, 15947, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 122376, 1083, 78493, 5106, 1083, 623, 217607, 40520, 28993, 62436, 827, 623, 127243, 1083, 623, 217607, 827, 623, 7777, 1083, 623, 236776, 12778, 90419, 563, 29220, 236761, 48434, 7274, 6927, 236764, 89352, 236764, 532, 2653, 219491, 10498, 623, 25931, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 5106, 1083, 623, 74742, 31379, 827, 623, 127243, 1083, 623, 166920, 827, 623, 7777, 1083, 623, 9881, 5829, 563, 4275, 528, 2708, 236772, 4271, 4106, 236761, 39874, 4301, 528, 9034, 9576, 10498, 623, 25931, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236825, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 22515, 580, 506, 7606, 1262, 52236, 573, 708, 2592, 9124, 6862, 236764, 51279, 568, 92824, 236743, 236810, 236778, 236810, 236832, 236832, 779, 1590, 236789, 236751, 506, 32672, 573, 8224, 12399, 236787, 108, 1018, 236527, 74544, 568, 236778, 8711, 753, 236743, 236825, 8711, 1473, 1018, 107, 236772, 5213, 236778, 236787, 236771, 236771, 8711, 53121, 236743, 236832, 236778, 237366, 236811, 236764, 216726, 130915, 568, 236810, 236908, 6927, 6584, 236768, 107, 236772, 5213, 236800, 236787, 236771, 236771, 8711, 53121, 236743, 236832, 236812, 237366, 236811, 236764, 96056, 130915, 568, 236770, 236810, 236908, 6927, 6584, 236768, 107, 236772, 5213, 236812, 236787, 236771, 236771, 8711, 53121, 236743, 236832, 236810, 237366, 236811, 236764, 10847, 21481, 568, 236812, 236771, 236908, 6927, 6584, 236768, 107, 236772, 5213, 236810, 236787, 236771, 236771, 8711, 53121, 236743, 236832, 236825, 237366, 236811, 236764, 21481, 568, 236825, 236810, 236908, 6927, 6584, 236768, 107, 236772, 5213, 236825, 236787, 236771, 236771, 8711, 53121, 236743, 236832, 236810, 237366, 236811, 236764, 39591, 21481, 568, 236828, 236771, 236908, 6927, 6584, 236764, 236743, 236770, 236778, 44269, 29146, 236768, 108, 1018, 14009, 28789, 165731, 573, 26168, 53121, 107, 236772, 5213, 74742, 16501, 568, 166920, 146151, 1473, 1018, 51508, 573, 13053, 36168, 2779, 531, 35269, 7274, 37494, 236761, 108, 1018, 211199, 53121, 138, 107, 8409, 3439, 3196, 20626, 3649, 528, 506, 12399, 236764, 7274, 6927, 532, 36168, 13682, 3553, 8792, 684, 5226, 12399, 236761, 14066, 236787, 107, 236770, 236761, 45325, 12496, 12532, 531, 506, 2460, 107, 236778, 236761, 94109, 496, 6927, 83158, 2731, 107, 236800, 236761, 146671, 11690, 33398, 563, 5583, 79305, 44081, 107, 236812, 236761, 3790, 6323, 12286, 1003, 3435, 7606, 30981, 108, 38786, 611, 1133, 786, 531, 2426, 573, 1027, 4767, 12496, 653, 3530, 4889, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 113553, 236787, 623, 17531, 993, 236764, 564, 1202, 1070, 2263, 5527, 14060, 573, 496, 67981, 6478, 236761, 28344, 611, 12270, 506, 4398, 7094, 1262, 573, 3013, 933, 236764, 33946, 236881, 31204, 3970, 236743, 236800, 236828, 236828, 236778, 236770, 236761, 564, 1461, 531, 1601, 496, 3184, 22622, 2425, 872, 506, 2436, 1680, 32826, 1116, 46155, 1590, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 1083, 623, 236800, 236828, 236828, 236778, 236770, 827, 623, 28128, 236779, 27163, 1083, 6610, 236812, 236810, 236764, 236778, 236770, 236828, 827, 623, 41129, 236779, 27163, 1083, 6610, 236800, 236819, 236764, 236828, 236832, 236810, 827, 623, 6367, 58411, 1083, 236743, 236770, 236778, 236812, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7094, 1262, 573, 3013, 933, 236764, 33946, 568, 45104, 3970, 236743, 236800, 236828, 236828, 236778, 236770, 1473, 108, 236772, 5213, 35089, 30521, 66515, 609, 236812, 236810, 236764, 236778, 236770, 236828, 138, 107, 236772, 5213, 122397, 30521, 66515, 609, 236800, 236819, 236764, 236828, 236832, 236810, 138, 107, 236772, 5213, 28203, 58411, 66515, 236743, 236770, 236764, 236778, 236812, 236810, 138, 108, 2094, 1262, 4728, 496, 35756, 529, 506, 2263, 5527, 10092, 236761, 669, 20522, 7094, 2473, 577, 6412, 6684, 573, 6611, 10944, 13136, 21186, 2066, 236761, 21284, 611, 1133, 1601, 59536, 672, 3342, 653, 22658, 4767, 19455, 236881, 106, 107, 105, 2364, 107, 113553, 236787, 623, 12879, 573, 506, 1262, 236761, 3792, 236789, 236751, 1769, 672, 496, 2918, 3342, 236761, 28344, 611, 9279, 506, 12567, 6235, 3385, 573, 496, 5453, 236772, 8572, 3607, 236789, 236751, 86979, 600, 1093, 8913, 607, 506, 21186, 2066, 1590, 236881, 31952, 506, 46155, 236789, 236751, 2157, 5150, 563, 609, 236770, 236778, 236771, 810, 4360, 532, 901, 1461, 496, 236743, 236812, 236771, 236908, 71911, 236761, 1174, 795, 1601, 775, 6054, 768, 15818, 21212, 563, 28591, 653, 768, 692, 1374, 64018, 1091, 8797, 919, 17075, 3835, 1781, 106, 107, 105, 4368, 107, 818, 12567, 6235, 3385, 573, 506, 86979, 236764, 2721, 580, 496, 609, 236770, 236778, 236771, 2157, 607, 496, 236743, 236812, 236771, 236908, 71911, 236764, 1093, 577, 5213, 236795, 236770, 236825, 236828, 84750, 138, 108, 1018, 120609, 66515, 138, 107, 236795, 236770, 236778, 236771, 568, 13769, 236768, 15666, 236743, 236770, 236761, 236812, 236771, 568, 236812, 236771, 236908, 71911, 236768, 578, 609, 236770, 236825, 236828, 138, 108, 26479, 506, 20522, 7094, 529, 609, 236800, 236819, 236764, 236828, 236832, 236810, 528, 3013, 933, 236764, 15818, 21212, 1149, 711, 8913, 607, 10944, 21186, 2066, 236761, 1174, 5453, 236772, 8572, 3385, 1523, 1451, 981, 768, 28307, 3715, 236772, 27163, 29474, 236764, 840, 1966, 9722, 141398, 21212, 568, 236744, 236761, 236759, 1126, 18684, 657, 3718, 3385, 3298, 236768, 531, 88847, 12056, 236761, 21284, 611, 1133, 531, 11327, 4767, 25521, 236881, 106, 107, 105, 2364, 107, 113553, 236787, 623, 11947, 981, 580, 506, 86979, 6596, 236761, 4224, 1531, 236858, 236751, 78543, 141398, 21212, 3835, 236761, 28344, 611, 3600, 1806, 44182, 12669, 568, 236744, 236761, 236759, 1126, 7234, 236772, 5909, 236764, 5453, 236772, 43289, 236764, 15818, 236768, 600, 2473, 8913, 607, 3013, 933, 236858, 236751, 7094, 5296, 236881, 1701, 1546, 236764, 2847, 496, 62954, 2157, 5150, 236764, 10991, 71911, 236764, 532, 9255, 6235, 3385, 236761, 27384, 51424, 236764, 145262, 236764, 653, 24352, 237028, 44784, 600, 19518, 506, 46155, 24739, 531, 1607, 5602, 20875, 1781, 106, 107, 105, 4368, 107, 8291, 659, 1806, 141398, 21212, 3835, 36443, 531, 3013, 933, 236858, 236751, 7094, 5296, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 31571, 236772, 9501, 236787, 54689, 10066, 8524, 1018, 138, 107, 236772, 5213, 23077, 59830, 66515, 609, 236800, 236771, 568, 147773, 5417, 236764, 6079, 1702, 236768, 138, 107, 236772, 5213, 69781, 66515, 236743, 236810, 236771, 236908, 568, 34065, 77372, 36453, 1024, 5416, 236768, 138, 107, 236772, 5213, 54747, 14584, 66515, 5213, 236795, 236812, 236810, 1018, 138, 107, 236772, 5213, 224693, 66515, 136994, 7715, 236772, 29852, 21192, 568, 236825, 236771, 236519, 529, 29474, 1208, 20522, 7094, 769, 25735, 48170, 7408, 607, 6674, 12056, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 14537, 236772, 110488, 236787, 61690, 41459, 2061, 1018, 138, 107, 236772, 5213, 23077, 59830, 66515, 609, 236825, 236771, 568, 192455, 9130, 236764, 86165, 83918, 236768, 138, 107, 236772, 5213, 69781, 66515, 236743, 236812, 236771, 236908, 568, 45659, 5416, 532, 26969, 1550, 236768, 138, 107, 236772, 5213, 54747, 14584, 66515, 5213, 236795, 236828, 236812, 1018, 138, 107, 236772, 5213, 224693, 66515, 35419, 531, 5453, 236772, 27163, 29474, 568, 41129, 609, 236800, 236819, 236764, 236828, 236832, 236810, 236768, 12985, 3325, 42392, 236761, 150489, 506, 46155, 618, 23489, 840, 139445, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 59169, 236787, 57582, 18663, 131497, 1018, 138, 107, 236772, 5213, 23077, 59830, 66515, 609, 236778, 236771, 236771, 568, 97875, 5417, 236764, 55552, 16593, 236768, 138, 107, 236772, 5213, 69781, 66515, 236743, 236800, 236771, 236908, 568, 139020, 969, 151540, 1024, 5542, 236768, 138, 107, 236772, 5213, 54747, 14584, 66515, 5213, 236795, 236778, 236825, 236771, 1018, 138, 107, 236772, 5213, 224693, 66515, 136994, 1903, 236743, 236778, 236771, 236908, 529, 163630, 568, 28128, 7094, 609, 236812, 236810, 236764, 236778, 236770, 236828, 51811, 573, 22296, 1353, 21192, 236761, 6890, 5809, 2862, 531, 2619, 70173, 236761, 138, 108, 7243, 108, 1018, 42928, 33879, 66515, 138, 107, 236772, 37058, 7234, 236786, 6848, 236772, 43289, 4852, 568, 236744, 236761, 236759, 1126, 27173, 900, 53384, 578, 236743, 236770, 236771, 236908, 12223, 236768, 531, 3553, 4398, 8559, 236761, 138, 107, 236772, 19236, 15818, 4852, 90824, 531, 19858, 50088, 529, 3325, 236764, 1581, 768, 901, 6739, 2344, 11572, 236761, 138, 107, 236772, 5803, 3385, 17511, 607, 496, 3538, 8912, 568, 236744, 236761, 236759, 1126, 2198, 236772, 1048, 2460, 236768, 1680, 2587, 18241, 12601, 236761, 138, 108, 46038, 531, 59638, 1027, 529, 1239, 54358, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 113553, 236787, 623, 17531, 993, 236764, 564, 1202, 1070, 2263, 5527, 14060, 573, 496, 67981, 6478, 236761, 28344, 611, 12270, 506, 4398, 7094, 1262, 573, 3013, 933, 236764, 33946, 236881, 31204, 3970, 236743, 236800, 236828, 236828, 236778, 236770, 236761, 564, 1461, 531, 1601, 496, 3184, 22622, 2425, 872, 506, 2436, 1680, 32826, 1116, 46155, 1590, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15905, 1083, 623, 236800, 236828, 236828, 236778, 236770, 827, 623, 28128, 236779, 27163, 1083, 6610, 236812, 236810, 236764, 236778, 236770, 236828, 827, 623, 41129, 236779, 27163, 1083, 6610, 236800, 236819, 236764, 236828, 236832, 236810, 827, 623, 6367, 58411, 1083, 236743, 236770, 236778, 236812, 236810, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7094, 1262, 573, 3013, 933, 236764, 33946, 568, 45104, 3970, 236743, 236800, 236828, 236828, 236778, 236770, 1473, 108, 236772, 5213, 35089, 30521, 66515, 609, 236812, 236810, 236764, 236778, 236770, 236828, 138, 107, 236772, 5213, 122397, 30521, 66515, 609, 236800, 236819, 236764, 236828, 236832, 236810, 138, 107, 236772, 5213, 28203, 58411, 66515, 236743, 236770, 236764, 236778, 236812, 236810, 138, 108, 2094, 1262, 4728, 496, 35756, 529, 506, 2263, 5527, 10092, 236761, 669, 20522, 7094, 2473, 577, 6412, 6684, 573, 6611, 10944, 13136, 21186, 2066, 236761, 21284, 611, 1133, 1601, 59536, 672, 3342, 653, 22658, 4767, 19455, 236881, 106, 107, 105, 2364, 107, 113553, 236787, 623, 12879, 573, 506, 1262, 236761, 3792, 236789, 236751, 1769, 672, 496, 2918, 3342, 236761, 28344, 611, 9279, 506, 12567, 6235, 3385, 573, 496, 5453, 236772, 8572, 3607, 236789, 236751, 86979, 600, 1093, 8913, 607, 506, 21186, 2066, 1590, 236881, 31952, 506, 46155, 236789, 236751, 2157, 5150, 563, 609, 236770, 236778, 236771, 810, 4360, 532, 901, 1461, 496, 236743, 236812, 236771, 236908, 71911, 236761, 1174, 795, 1601, 775, 6054, 768, 15818, 21212, 563, 28591, 653, 768, 692, 1374, 64018, 1091, 8797, 919, 17075, 3835, 1781, 106, 107, 105, 4368, 107, 818, 12567, 6235, 3385, 573, 506, 86979, 236764, 2721, 580, 496, 609, 236770, 236778, 236771, 2157, 607, 496, 236743, 236812, 236771, 236908, 71911, 236764, 1093, 577, 5213, 236795, 236770, 236825, 236828, 84750, 138, 108, 1018, 120609, 66515, 138, 107, 236795, 236770, 236778, 236771, 568, 13769, 236768, 15666, 236743, 236770, 236761, 236812, 236771, 568, 236812, 236771, 236908, 71911, 236768, 578, 609, 236770, 236825, 236828, 138, 108, 26479, 506, 20522, 7094, 529, 609, 236800, 236819, 236764, 236828, 236832, 236810, 528, 3013, 933, 236764, 15818, 21212, 1149, 711, 8913, 607, 10944, 21186, 2066, 236761, 1174, 5453, 236772, 8572, 3385, 1523, 1451, 981, 768, 28307, 3715, 236772, 27163, 29474, 236764, 840, 1966, 9722, 141398, 21212, 568, 236744, 236761, 236759, 1126, 18684, 657, 3718, 3385, 3298, 236768, 531, 88847, 12056, 236761, 21284, 611, 1133, 531, 11327, 4767, 25521, 236881, 106, 107, 105, 2364, 107, 113553, 236787, 623, 11947, 981, 580, 506, 86979, 6596, 236761, 4224, 1531, 236858, 236751, 78543, 141398, 21212, 3835, 236761, 28344, 611, 3600, 1806, 44182, 12669, 568, 236744, 236761, 236759, 1126, 7234, 236772, 5909, 236764, 5453, 236772, 43289, 236764, 15818, 236768, 600, 2473, 8913, 607, 3013, 933, 236858, 236751, 7094, 5296, 236881, 1701, 1546, 236764, 2847, 496, 62954, 2157, 5150, 236764, 10991, 71911, 236764, 532, 9255, 6235, 3385, 236761, 27384, 51424, 236764, 145262, 236764, 653, 24352, 237028, 44784, 600, 19518, 506, 46155, 24739, 531, 1607, 5602, 20875, 1781, 106, 107, 105, 4368, 107, 8291, 659, 1806, 141398, 21212, 3835, 36443, 531, 3013, 933, 236858, 236751, 7094, 5296, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 31571, 236772, 9501, 236787, 54689, 10066, 8524, 1018, 138, 107, 236772, 5213, 23077, 59830, 66515, 609, 236800, 236771, 568, 147773, 5417, 236764, 6079, 1702, 236768, 138, 107, 236772, 5213, 69781, 66515, 236743, 236810, 236771, 236908, 568, 34065, 77372, 36453, 1024, 5416, 236768, 138, 107, 236772, 5213, 54747, 14584, 66515, 5213, 236795, 236812, 236810, 1018, 138, 107, 236772, 5213, 224693, 66515, 136994, 7715, 236772, 29852, 21192, 568, 236825, 236771, 236519, 529, 29474, 1208, 20522, 7094, 769, 25735, 48170, 7408, 607, 6674, 12056, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 14537, 236772, 110488, 236787, 61690, 41459, 2061, 1018, 138, 107, 236772, 5213, 23077, 59830, 66515, 609, 236825, 236771, 568, 192455, 9130, 236764, 86165, 83918, 236768, 138, 107, 236772, 5213, 69781, 66515, 236743, 236812, 236771, 236908, 568, 45659, 5416, 532, 26969, 1550, 236768, 138, 107, 236772, 5213, 54747, 14584, 66515, 5213, 236795, 236828, 236812, 1018, 138, 107, 236772, 5213, 224693, 66515, 35419, 531, 5453, 236772, 27163, 29474, 568, 41129, 609, 236800, 236819, 236764, 236828, 236832, 236810, 236768, 12985, 3325, 42392, 236761, 150489, 506, 46155, 618, 23489, 840, 139445, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 59169, 236787, 57582, 18663, 131497, 1018, 138, 107, 236772, 5213, 23077, 59830, 66515, 609, 236778, 236771, 236771, 568, 97875, 5417, 236764, 55552, 16593, 236768, 138, 107, 236772, 5213, 69781, 66515, 236743, 236800, 236771, 236908, 568, 139020, 969, 151540, 1024, 5542, 236768, 138, 107, 236772, 5213, 54747, 14584, 66515, 5213, 236795, 236778, 236825, 236771, 1018, 138, 107, 236772, 5213, 224693, 66515, 136994, 1903, 236743, 236778, 236771, 236908, 529, 163630, 568, 28128, 7094, 609, 236812, 236810, 236764, 236778, 236770, 236828, 51811, 573, 22296, 1353, 21192, 236761, 6890, 5809, 2862, 531, 2619, 70173, 236761, 138, 108, 7243, 108, 1018, 42928, 33879, 66515, 138, 107, 236772, 37058, 7234, 236786, 6848, 236772, 43289, 4852, 568, 236744, 236761, 236759, 1126, 27173, 900, 53384, 578, 236743, 236770, 236771, 236908, 12223, 236768, 531, 3553, 4398, 8559, 236761, 138, 107, 236772, 19236, 15818, 4852, 90824, 531, 19858, 50088, 529, 3325, 236764, 1581, 768, 901, 6739, 2344, 11572, 236761, 138, 107, 236772, 5803, 3385, 17511, 607, 496, 3538, 8912, 568, 236744, 236761, 236759, 1126, 2198, 236772, 1048, 2460, 236768, 1680, 2587, 18241, 12601, 236761, 138, 108, 46038, 531, 59638, 1027, 529, 1239, 54358, 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, 236757, 5185, 236764, 496, 2263, 59948, 14667, 9865, 1015, 236789, 236751, 1010, 68797, 607, 506, 59948, 14667, 14822, 7124, 236761, 1191, 236789, 500, 6995, 1023, 3798, 75693, 532, 564, 236789, 236753, 2765, 531, 974, 1070, 6549, 699, 4803, 1610, 4749, 7438, 528, 506, 1799, 3773, 11922, 236761, 28344, 611, 1161, 822, 4648, 598, 4073, 5904, 531, 3927, 573, 13476, 11922, 10308, 56188, 607, 1800, 756, 73842, 14667, 236789, 532, 756, 9175, 32129, 2020, 236789, 699, 506, 3068, 1051, 236881, 564, 236789, 236757, 6412, 7467, 528, 9333, 1144, 12042, 529, 3399, 236772, 41889, 1610, 4749, 735, 1010, 3978, 5700, 33208, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19112, 1083, 78493, 6061, 1083, 623, 73842, 14667, 827, 623, 2084, 1083, 623, 234863, 23179, 3714, 6061, 1083, 623, 9175, 32129, 2020, 827, 623, 2084, 1083, 623, 13552, 23179, 3714, 6061, 1083, 623, 46640, 4585, 41327, 827, 623, 2084, 1083, 623, 13552, 23179, 3714, 6061, 1083, 623, 12059, 9500, 32462, 31698, 827, 623, 2084, 1083, 623, 234863, 23179, 3714, 6061, 1083, 623, 73842, 14667, 14822, 7124, 827, 623, 2084, 1083, 623, 31108, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236828, 236764, 623, 4818, 1083, 623, 10934, 827, 623, 3278, 236779, 3906, 1083, 3714, 17368, 236779, 3278, 1083, 623, 73842, 14667, 4585, 32129, 2020, 827, 623, 28881, 236779, 103411, 1083, 11058, 13552, 827, 623, 234863, 14255, 623, 2074, 236779, 12103, 1083, 236743, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 7798, 16616, 564, 1765, 528, 506, 1799, 3773, 11922, 7948, 573, 822, 2864, 236787, 108, 1018, 8534, 64663, 53121, 107, 236770, 236761, 5213, 73842, 14667, 1018, 568, 8551, 9814, 236768, 107, 236778, 236761, 5213, 9175, 32129, 2020, 1018, 568, 21288, 236768, 107, 236800, 236761, 5213, 46640, 4585, 41327, 1018, 568, 21288, 236768, 107, 236812, 236761, 5213, 12059, 9500, 32462, 31698, 1018, 568, 8551, 9814, 236768, 107, 236810, 236761, 5213, 73842, 14667, 14822, 7124, 1018, 568, 50058, 236768, 108, 1018, 9272, 50228, 53121, 138, 107, 9208, 16616, 740, 1601, 29888, 3530, 13476, 236774, 10308, 1003, 3399, 236772, 41889, 1610, 4749, 528, 59948, 14667, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 6890, 1239, 16616, 531, 3927, 573, 5396, 10308, 568, 584, 6436, 2174, 779, 653, 138, 107, 236778, 236761, 10867, 688, 506, 3927, 607, 4767, 18774, 1133, 3433, 21280, 653, 2460, 4458, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 12879, 573, 506, 7853, 25890, 236888, 5612, 692, 236789, 500, 10916, 6995, 496, 75693, 236764, 1451, 611, 1845, 2264, 4648, 598, 4073, 3927, 10317, 580, 10308, 56188, 607, 1800, 756, 73842, 14667, 14822, 7124, 236789, 4715, 756, 34399, 30802, 31698, 236789, 1024, 506, 3068, 1156, 1518, 236881, 1030, 1093, 577, 1822, 531, 1460, 768, 993, 659, 1027, 53552, 22888, 653, 14549, 12668, 6950, 528, 506, 11922, 600, 692, 1451, 7535, 236761, 1637, 600, 7623, 2311, 2321, 2536, 236764, 7463, 2056, 96816, 756, 34399, 30802, 31698, 236789, 607, 756, 46640, 63010, 236789, 653, 756, 218799, 103663, 236789, 531, 88847, 506, 11104, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 9088, 1083, 623, 73842, 14667, 14822, 7124, 827, 623, 2084, 1083, 623, 31108, 827, 623, 2861, 1083, 236743, 236770, 236778, 236764, 623, 43852, 236779, 9692, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 9088, 1083, 623, 46640, 174861, 827, 623, 2084, 1083, 623, 13552, 827, 623, 2861, 1083, 236743, 236828, 236764, 623, 43852, 236779, 9692, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 9088, 1083, 623, 111534, 31698, 827, 623, 2084, 1083, 623, 13552, 827, 623, 2861, 1083, 236743, 236825, 236764, 623, 43852, 236779, 9692, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 9088, 1083, 623, 12059, 9500, 10645, 72961, 827, 623, 2084, 1083, 623, 234863, 827, 623, 2861, 1083, 236743, 236812, 236764, 623, 43852, 236779, 9692, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236771, 236774, 236771, 236828, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 9088, 1083, 623, 218799, 42879, 827, 623, 2084, 1083, 623, 13552, 827, 623, 2861, 1083, 236743, 236800, 236764, 623, 43852, 236779, 9692, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236778, 236828, 236774, 236770, 236770, 236787, 236810, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 21052, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236800, 236800, 236764, 623, 28881, 236779, 3456, 1083, 11058, 13552, 827, 623, 31108, 14255, 623, 3278, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236812, 236810, 236787, 236800, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 25890, 529, 16616, 4596, 531, 506, 59948, 14667, 14822, 7124, 532, 41496, 7880, 699, 506, 3068, 1156, 1518, 236787, 108, 1018, 3503, 64663, 833, 76374, 53121, 107, 236770, 236761, 5213, 73842, 14667, 14822, 7124, 1018, 568, 236770, 236778, 42298, 236768, 138, 107, 139, 236772, 7660, 4803, 4676, 236787, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 568, 65141, 236751, 14335, 12606, 529, 910, 19898, 236768, 107, 236778, 236761, 5213, 46640, 174861, 1018, 568, 236828, 42298, 236768, 138, 107, 139, 236772, 137944, 2101, 2263, 15154, 532, 9578, 11213, 4681, 568, 236744, 236761, 236759, 1126, 1610, 98886, 236764, 11403, 236772, 27612, 24742, 769, 107, 236800, 236761, 5213, 111534, 31698, 1018, 568, 236825, 42298, 236768, 138, 107, 139, 236772, 70731, 573, 236743, 236778, 236771, 236778, 236812, 3204, 16217, 528, 236772, 8269, 236786, 48446, 170047, 532, 52705, 52923, 19240, 531, 2263, 4083, 236761, 107, 236812, 236761, 5213, 218799, 42879, 1018, 568, 236800, 42298, 236768, 138, 107, 139, 236772, 39009, 37837, 64004, 24564, 6130, 573, 2460, 6995, 532, 43285, 236761, 108, 1018, 156195, 53121, 138, 107, 236772, 669, 11922, 11572, 23948, 59948, 14667, 236858, 236751, 15653, 41496, 531, 5213, 37939, 13859, 1018, 532, 5213, 50771, 54491, 84750, 138, 107, 236772, 623, 218799, 42879, 236775, 532, 623, 111534, 31698, 236775, 16616, 3600, 7760, 531, 22064, 24564, 7880, 607, 9578, 14929, 236761, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 12808, 573, 3530, 10308, 1699, 1239, 16616, 531, 8701, 83979, 6549, 568, 236744, 236761, 236759, 1126, 623, 46640, 174861, 900, 59948, 14667, 14822, 7124, 1373, 236881, 138, 107, 236778, 236761, 16794, 501, 506, 3927, 531, 3204, 623, 46640, 63010, 236775, 653, 623, 218799, 103663, 236775, 618, 15633, 768, 1239, 2536, 2597, 5809, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 59638, 506, 3213, 236888, 106, 107, 105, 2364, 107, 12879, 573, 506, 19317, 236888, 669, 3213, 580, 3399, 13859, 532, 16217, 4749, 563, 2126, 6121, 236761, 28344, 611, 1492, 1845, 496, 4648, 598, 4073, 3927, 26614, 756, 73842, 14667, 14822, 7124, 236789, 607, 756, 46640, 63010, 236789, 1024, 506, 3068, 1806, 1518, 236881, 564, 236789, 236757, 23210, 768, 993, 659, 19276, 13792, 653, 1440, 236772, 6061, 15067, 528, 1217, 506, 7124, 815, 99448, 3399, 33000, 573, 4749, 236761, 1637, 600, 7623, 3188, 16616, 236764, 7463, 692, 740, 4071, 236772, 30449, 1724, 607, 3530, 41496, 11298, 6950, 528, 506, 6517, 2536, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19112, 1083, 78493, 6061, 1083, 623, 73842, 14667, 14822, 7124, 827, 623, 43035, 1083, 623, 13552, 23179, 3714, 6061, 1083, 623, 46640, 63010, 827, 623, 43035, 1083, 623, 13552, 23179, 3714, 6061, 1083, 623, 73842, 14667, 14822, 7124, 827, 623, 43035, 1083, 623, 31108, 23179, 3714, 6061, 1083, 623, 109278, 118836, 827, 623, 43035, 1083, 623, 13552, 23179, 3714, 6061, 1083, 623, 46640, 174861, 827, 623, 43035, 1083, 623, 31108, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 2307, 16616, 699, 506, 6524, 3927, 26614, 5213, 236775, 73842, 14667, 14822, 7124, 236775, 1018, 532, 5213, 236775, 46640, 63010, 236775, 1018, 1024, 506, 3068, 1806, 1518, 236787, 108, 1018, 8534, 64663, 833, 92988, 53121, 107, 236770, 236761, 5213, 73842, 14667, 14822, 7124, 1018, 568, 21288, 833, 19922, 236768, 138, 107, 139, 236772, 47323, 63490, 1061, 3853, 618, 496, 6082, 15039, 573, 2263, 15653, 19898, 236761, 107, 236778, 236761, 5213, 46640, 63010, 1018, 568, 21288, 236768, 138, 107, 139, 236772, 36374, 531, 31877, 5699, 1133, 1237, 1610, 35490, 236764, 10974, 28023, 236764, 532, 12960, 33000, 236761, 107, 236800, 236761, 5213, 109278, 118836, 1018, 568, 21288, 236768, 138, 107, 139, 236772, 70731, 4071, 236772, 57512, 67529, 568, 236744, 236761, 236759, 1126, 7958, 236764, 2263, 8634, 236764, 532, 111880, 769, 107, 236812, 236761, 5213, 46640, 174861, 1018, 568, 50058, 236768, 138, 107, 139, 236772, 7178, 236752, 2786, 607, 6517, 2536, 236764, 22169, 53552, 22888, 529, 82158, 11213, 532, 24564, 236772, 27612, 24742, 236761, 108, 1018, 200003, 833, 62503, 53121, 138, 107, 236772, 669, 7124, 236858, 236751, 5213, 5843, 236772, 6061, 3213, 580, 33000, 1018, 568, 111671, 236764, 2263, 8634, 236768, 1451, 30463, 16217, 4749, 66051, 1610, 66503, 607, 3399, 54491, 236761, 138, 107, 236772, 5213, 236775, 109278, 118836, 236775, 900, 623, 46640, 174861, 236775, 1018, 2473, 16913, 11298, 1133, 36075, 236772, 991, 52923, 653, 15678, 236772, 61827, 5699, 236761, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 12808, 573, 5213, 15396, 10308, 1018, 1699, 23548, 1133, 5213, 236775, 46640, 63010, 900, 59948, 14667, 14822, 7124, 236775, 1018, 531, 53144, 9813, 1624, 5254, 236881, 138, 107, 236778, 236761, 12713, 236772, 30449, 1239, 16616, 607, 506, 6517, 5213, 236775, 34399, 30802, 31698, 236775, 1018, 2536, 531, 8701, 83979, 11298, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 59638, 506, 3213, 3342, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 993, 236888, 564, 236789, 236757, 5185, 236764, 496, 2263, 59948, 14667, 9865, 1015, 236789, 236751, 1010, 68797, 607, 506, 59948, 14667, 14822, 7124, 236761, 1191, 236789, 500, 6995, 1023, 3798, 75693, 532, 564, 236789, 236753, 2765, 531, 974, 1070, 6549, 699, 4803, 1610, 4749, 7438, 528, 506, 1799, 3773, 11922, 236761, 28344, 611, 1161, 822, 4648, 598, 4073, 5904, 531, 3927, 573, 13476, 11922, 10308, 56188, 607, 1800, 756, 73842, 14667, 236789, 532, 756, 9175, 32129, 2020, 236789, 699, 506, 3068, 1051, 236881, 564, 236789, 236757, 6412, 7467, 528, 9333, 1144, 12042, 529, 3399, 236772, 41889, 1610, 4749, 735, 1010, 3978, 5700, 33208, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19112, 1083, 78493, 6061, 1083, 623, 73842, 14667, 827, 623, 2084, 1083, 623, 234863, 23179, 3714, 6061, 1083, 623, 9175, 32129, 2020, 827, 623, 2084, 1083, 623, 13552, 23179, 3714, 6061, 1083, 623, 46640, 4585, 41327, 827, 623, 2084, 1083, 623, 13552, 23179, 3714, 6061, 1083, 623, 12059, 9500, 32462, 31698, 827, 623, 2084, 1083, 623, 234863, 23179, 3714, 6061, 1083, 623, 73842, 14667, 14822, 7124, 827, 623, 2084, 1083, 623, 31108, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236828, 236764, 623, 4818, 1083, 623, 10934, 827, 623, 3278, 236779, 3906, 1083, 3714, 17368, 236779, 3278, 1083, 623, 73842, 14667, 4585, 32129, 2020, 827, 623, 28881, 236779, 103411, 1083, 11058, 13552, 827, 623, 234863, 14255, 623, 2074, 236779, 12103, 1083, 236743, 236810, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 7798, 16616, 564, 1765, 528, 506, 1799, 3773, 11922, 7948, 573, 822, 2864, 236787, 108, 1018, 8534, 64663, 53121, 107, 236770, 236761, 5213, 73842, 14667, 1018, 568, 8551, 9814, 236768, 107, 236778, 236761, 5213, 9175, 32129, 2020, 1018, 568, 21288, 236768, 107, 236800, 236761, 5213, 46640, 4585, 41327, 1018, 568, 21288, 236768, 107, 236812, 236761, 5213, 12059, 9500, 32462, 31698, 1018, 568, 8551, 9814, 236768, 107, 236810, 236761, 5213, 73842, 14667, 14822, 7124, 1018, 568, 50058, 236768, 108, 1018, 9272, 50228, 53121, 138, 107, 9208, 16616, 740, 1601, 29888, 3530, 13476, 236774, 10308, 1003, 3399, 236772, 41889, 1610, 4749, 528, 59948, 14667, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 6890, 1239, 16616, 531, 3927, 573, 5396, 10308, 568, 584, 6436, 2174, 779, 653, 138, 107, 236778, 236761, 10867, 688, 506, 3927, 607, 4767, 18774, 1133, 3433, 21280, 653, 2460, 4458, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 12879, 573, 506, 7853, 25890, 236888, 5612, 692, 236789, 500, 10916, 6995, 496, 75693, 236764, 1451, 611, 1845, 2264, 4648, 598, 4073, 3927, 10317, 580, 10308, 56188, 607, 1800, 756, 73842, 14667, 14822, 7124, 236789, 4715, 756, 34399, 30802, 31698, 236789, 1024, 506, 3068, 1156, 1518, 236881, 1030, 1093, 577, 1822, 531, 1460, 768, 993, 659, 1027, 53552, 22888, 653, 14549, 12668, 6950, 528, 506, 11922, 600, 692, 1451, 7535, 236761, 1637, 600, 7623, 2311, 2321, 2536, 236764, 7463, 2056, 96816, 756, 34399, 30802, 31698, 236789, 607, 756, 46640, 63010, 236789, 653, 756, 218799, 103663, 236789, 531, 88847, 506, 11104, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 9088, 1083, 623, 73842, 14667, 14822, 7124, 827, 623, 2084, 1083, 623, 31108, 827, 623, 2861, 1083, 236743, 236770, 236778, 236764, 623, 43852, 236779, 9692, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 9088, 1083, 623, 46640, 174861, 827, 623, 2084, 1083, 623, 13552, 827, 623, 2861, 1083, 236743, 236828, 236764, 623, 43852, 236779, 9692, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236800, 236772, 236778, 236778, 236774, 236771, 236819, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 9088, 1083, 623, 111534, 31698, 827, 623, 2084, 1083, 623, 13552, 827, 623, 2861, 1083, 236743, 236825, 236764, 623, 43852, 236779, 9692, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236770, 236774, 236770, 236812, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 23179, 3714, 9088, 1083, 623, 12059, 9500, 10645, 72961, 827, 623, 2084, 1083, 623, 234863, 827, 623, 2861, 1083, 236743, 236812, 236764, 623, 43852, 236779, 9692, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236771, 236774, 236771, 236828, 236787, 236778, 236771, 236787, 236771, 236771, 236953, 23179, 3714, 9088, 1083, 623, 218799, 42879, 827, 623, 2084, 1083, 623, 13552, 827, 623, 2861, 1083, 236743, 236800, 236764, 623, 43852, 236779, 9692, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236778, 236772, 236778, 236828, 236774, 236770, 236770, 236787, 236810, 236771, 236787, 236771, 236771, 236953, 25938, 1604, 623, 21052, 1083, 3714, 6725, 236779, 12103, 1083, 236743, 236800, 236800, 236764, 623, 28881, 236779, 3456, 1083, 11058, 13552, 827, 623, 31108, 14255, 623, 3278, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236770, 236771, 236787, 236812, 236810, 236787, 236800, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 25890, 529, 16616, 4596, 531, 506, 59948, 14667, 14822, 7124, 532, 41496, 7880, 699, 506, 3068, 1156, 1518, 236787, 108, 1018, 3503, 64663, 833, 76374, 53121, 107, 236770, 236761, 5213, 73842, 14667, 14822, 7124, 1018, 568, 236770, 236778, 42298, 236768, 138, 107, 139, 236772, 7660, 4803, 4676, 236787, 3353, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 568, 65141, 236751, 14335, 12606, 529, 910, 19898, 236768, 107, 236778, 236761, 5213, 46640, 174861, 1018, 568, 236828, 42298, 236768, 138, 107, 139, 236772, 137944, 2101, 2263, 15154, 532, 9578, 11213, 4681, 568, 236744, 236761, 236759, 1126, 1610, 98886, 236764, 11403, 236772, 27612, 24742, 769, 107, 236800, 236761, 5213, 111534, 31698, 1018, 568, 236825, 42298, 236768, 138, 107, 139, 236772, 70731, 573, 236743, 236778, 236771, 236778, 236812, 3204, 16217, 528, 236772, 8269, 236786, 48446, 170047, 532, 52705, 52923, 19240, 531, 2263, 4083, 236761, 107, 236812, 236761, 5213, 218799, 42879, 1018, 568, 236800, 42298, 236768, 138, 107, 139, 236772, 39009, 37837, 64004, 24564, 6130, 573, 2460, 6995, 532, 43285, 236761, 108, 1018, 156195, 53121, 138, 107, 236772, 669, 11922, 11572, 23948, 59948, 14667, 236858, 236751, 15653, 41496, 531, 5213, 37939, 13859, 1018, 532, 5213, 50771, 54491, 84750, 138, 107, 236772, 623, 218799, 42879, 236775, 532, 623, 111534, 31698, 236775, 16616, 3600, 7760, 531, 22064, 24564, 7880, 607, 9578, 14929, 236761, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 12808, 573, 3530, 10308, 1699, 1239, 16616, 531, 8701, 83979, 6549, 568, 236744, 236761, 236759, 1126, 623, 46640, 174861, 900, 59948, 14667, 14822, 7124, 1373, 236881, 138, 107, 236778, 236761, 16794, 501, 506, 3927, 531, 3204, 623, 46640, 63010, 236775, 653, 623, 218799, 103663, 236775, 618, 15633, 768, 1239, 2536, 2597, 5809, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236858, 236753, 1133, 531, 59638, 506, 3213, 236888, 106, 107, 105, 2364, 107, 12879, 573, 506, 19317, 236888, 669, 3213, 580, 3399, 13859, 532, 16217, 4749, 563, 2126, 6121, 236761, 28344, 611, 1492, 1845, 496, 4648, 598, 4073, 3927, 26614, 756, 73842, 14667, 14822, 7124, 236789, 607, 756, 46640, 63010, 236789, 1024, 506, 3068, 1806, 1518, 236881, 564, 236789, 236757, 23210, 768, 993, 659, 19276, 13792, 653, 1440, 236772, 6061, 15067, 528, 1217, 506, 7124, 815, 99448, 3399, 33000, 573, 4749, 236761, 1637, 600, 7623, 3188, 16616, 236764, 7463, 692, 740, 4071, 236772, 30449, 1724, 607, 3530, 41496, 11298, 6950, 528, 506, 6517, 2536, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 19112, 1083, 78493, 6061, 1083, 623, 73842, 14667, 14822, 7124, 827, 623, 43035, 1083, 623, 13552, 23179, 3714, 6061, 1083, 623, 46640, 63010, 827, 623, 43035, 1083, 623, 13552, 23179, 3714, 6061, 1083, 623, 73842, 14667, 14822, 7124, 827, 623, 43035, 1083, 623, 31108, 23179, 3714, 6061, 1083, 623, 109278, 118836, 827, 623, 43035, 1083, 623, 13552, 23179, 3714, 6061, 1083, 623, 46640, 174861, 827, 623, 43035, 1083, 623, 31108, 236775, 165075, 106, 107, 105, 4368, 107, 8291, 659, 506, 2307, 16616, 699, 506, 6524, 3927, 26614, 5213, 236775, 73842, 14667, 14822, 7124, 236775, 1018, 532, 5213, 236775, 46640, 63010, 236775, 1018, 1024, 506, 3068, 1806, 1518, 236787, 108, 1018, 8534, 64663, 833, 92988, 53121, 107, 236770, 236761, 5213, 73842, 14667, 14822, 7124, 1018, 568, 21288, 833, 19922, 236768, 138, 107, 139, 236772, 47323, 63490, 1061, 3853, 618, 496, 6082, 15039, 573, 2263, 15653, 19898, 236761, 107, 236778, 236761, 5213, 46640, 63010, 1018, 568, 21288, 236768, 138, 107, 139, 236772, 36374, 531, 31877, 5699, 1133, 1237, 1610, 35490, 236764, 10974, 28023, 236764, 532, 12960, 33000, 236761, 107, 236800, 236761, 5213, 109278, 118836, 1018, 568, 21288, 236768, 138, 107, 139, 236772, 70731, 4071, 236772, 57512, 67529, 568, 236744, 236761, 236759, 1126, 7958, 236764, 2263, 8634, 236764, 532, 111880, 769, 107, 236812, 236761, 5213, 46640, 174861, 1018, 568, 50058, 236768, 138, 107, 139, 236772, 7178, 236752, 2786, 607, 6517, 2536, 236764, 22169, 53552, 22888, 529, 82158, 11213, 532, 24564, 236772, 27612, 24742, 236761, 108, 1018, 200003, 833, 62503, 53121, 138, 107, 236772, 669, 7124, 236858, 236751, 5213, 5843, 236772, 6061, 3213, 580, 33000, 1018, 568, 111671, 236764, 2263, 8634, 236768, 1451, 30463, 16217, 4749, 66051, 1610, 66503, 607, 3399, 54491, 236761, 138, 107, 236772, 5213, 236775, 109278, 118836, 236775, 900, 623, 46640, 174861, 236775, 1018, 2473, 16913, 11298, 1133, 36075, 236772, 991, 52923, 653, 15678, 236772, 61827, 5699, 236761, 138, 108, 1018, 9272, 50228, 53121, 138, 107, 38786, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 12808, 573, 5213, 15396, 10308, 1018, 1699, 23548, 1133, 5213, 236775, 46640, 63010, 900, 59948, 14667, 14822, 7124, 236775, 1018, 531, 53144, 9813, 1624, 5254, 236881, 138, 107, 236778, 236761, 12713, 236772, 30449, 1239, 16616, 607, 506, 6517, 5213, 236775, 34399, 30802, 31698, 236775, 1018, 2536, 531, 8701, 83979, 11298, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 59638, 506, 3213, 3342, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 6995, 496, 111101, 236772, 68122, 12441, 573, 1041, 2523, 672, 9735, 532, 1202, 531, 1076, 872, 506, 4252, 532, 5984, 236761, 5315, 236764, 1161, 506, 1586, 236779, 26873, 5904, 607, 18355, 1076, 531, 623, 5141, 86643, 236775, 531, 974, 496, 1694, 529, 4913, 16710, 236761, 4298, 236764, 1769, 506, 1171, 8325, 699, 600, 1694, 532, 1161, 3927, 236779, 168869, 236779, 3871, 531, 1586, 4876, 529, 600, 8325, 573, 1023, 2633, 19365, 236761, 13472, 236764, 17866, 506, 8325, 236789, 236751, 1463, 531, 14361, 1699, 974, 236779, 19859, 236779, 32154, 607, 3328, 236779, 19859, 623, 507, 236775, 834, 564, 740, 1138, 625, 531, 506, 6831, 8651, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 65000, 1083, 78493, 31040, 1083, 623, 18939, 5295, 527, 827, 623, 3250, 1083, 623, 236792, 41786, 569, 1450, 97740, 827, 623, 19001, 1083, 623, 236800, 236787, 236812, 236810, 23179, 3714, 31040, 1083, 623, 1659, 596, 33224, 2761, 5928, 827, 623, 3250, 1083, 623, 4967, 8964, 569, 759, 3199, 4634, 827, 623, 19001, 1083, 623, 236812, 236787, 236770, 236778, 23179, 3714, 31040, 1083, 623, 5141, 236785, 236756, 236771, 236771, 5742, 236743, 236778, 236771, 236771, 236771, 827, 623, 3250, 1083, 623, 236773, 30341, 569, 4608, 236785, 236756, 236771, 236771, 236744, 236800, 236748, 827, 623, 19001, 1083, 623, 236812, 236787, 236771, 236810, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 18939, 5295, 527, 753, 43899, 111101, 15570, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236940, 236797, 236771, 236770, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 827, 623, 6386, 1083, 623, 5141, 86643, 53783, 23179, 3714, 547, 1083, 623, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 3250, 1083, 623, 18939, 5295, 527, 15097, 19791, 528, 49830, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236940, 236797, 236771, 236770, 236786, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 6386, 1083, 623, 168576, 44410, 497, 23179, 3714, 547, 1083, 623, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 3250, 1083, 623, 18939, 5295, 527, 15570, 20602, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236940, 236797, 236771, 236770, 236786, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 6386, 1083, 623, 24068, 80262, 23179, 3714, 547, 1083, 623, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 827, 623, 3250, 1083, 623, 18939, 5295, 527, 657, 15467, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236940, 236797, 236771, 236770, 236786, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 827, 623, 6386, 1083, 623, 65556, 24068, 23179, 3714, 547, 1083, 623, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 3250, 1083, 623, 18939, 5295, 527, 753, 111101, 66026, 11796, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236940, 236797, 236771, 236770, 236786, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 6386, 1083, 623, 111534, 202880, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132773, 236779, 1005, 1083, 623, 18939, 5295, 527, 25938, 106, 107, 105, 4368, 107, 818, 8325, 1463, 623, 18939, 5295, 527, 236775, 563, 3016, 528, 14361, 236764, 834, 506, 13959, 7474, 34892, 236761, 5715, 659, 506, 4876, 573, 822, 111101, 236772, 68122, 12441, 5984, 236787, 108, 236770, 236761, 870, 18939, 5295, 527, 753, 43899, 111101, 15570, 5457, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236940, 236797, 236771, 236770, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236768, 107, 236778, 236761, 870, 18939, 5295, 527, 15097, 19791, 528, 49830, 5457, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236940, 236797, 236771, 236770, 236786, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236768, 107, 236800, 236761, 870, 18939, 5295, 527, 15570, 20602, 5457, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236940, 236797, 236771, 236770, 236786, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236768, 107, 236812, 236761, 870, 18939, 5295, 527, 657, 15467, 5457, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236940, 236797, 236771, 236770, 236786, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236768, 107, 236810, 236761, 870, 18939, 5295, 527, 753, 111101, 66026, 11796, 5457, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236940, 236797, 236771, 236770, 236786, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236768, 108, 3048, 740, 1161, 1239, 5467, 573, 822, 2633, 19365, 236764, 532, 506, 6831, 8651, 740, 4926, 623, 18939, 5295, 527, 236775, 618, 506, 8325, 1463, 568, 1904, 13959, 4354, 769, 28819, 822, 111101, 12441, 236888, 236743, 243336, 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 ]
[ 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, 111101, 236772, 68122, 12441, 573, 1041, 2523, 672, 9735, 532, 1202, 531, 1076, 872, 506, 4252, 532, 5984, 236761, 5315, 236764, 1161, 506, 1586, 236779, 26873, 5904, 607, 18355, 1076, 531, 623, 5141, 86643, 236775, 531, 974, 496, 1694, 529, 4913, 16710, 236761, 4298, 236764, 1769, 506, 1171, 8325, 699, 600, 1694, 532, 1161, 3927, 236779, 168869, 236779, 3871, 531, 1586, 4876, 529, 600, 8325, 573, 1023, 2633, 19365, 236761, 13472, 236764, 17866, 506, 8325, 236789, 236751, 1463, 531, 14361, 1699, 974, 236779, 19859, 236779, 32154, 607, 3328, 236779, 19859, 623, 507, 236775, 834, 564, 740, 1138, 625, 531, 506, 6831, 8651, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 65000, 1083, 78493, 31040, 1083, 623, 18939, 5295, 527, 827, 623, 3250, 1083, 623, 236792, 41786, 569, 1450, 97740, 827, 623, 19001, 1083, 623, 236800, 236787, 236812, 236810, 23179, 3714, 31040, 1083, 623, 1659, 596, 33224, 2761, 5928, 827, 623, 3250, 1083, 623, 4967, 8964, 569, 759, 3199, 4634, 827, 623, 19001, 1083, 623, 236812, 236787, 236770, 236778, 23179, 3714, 31040, 1083, 623, 5141, 236785, 236756, 236771, 236771, 5742, 236743, 236778, 236771, 236771, 236771, 827, 623, 3250, 1083, 623, 236773, 30341, 569, 4608, 236785, 236756, 236771, 236771, 236744, 236800, 236748, 827, 623, 19001, 1083, 623, 236812, 236787, 236771, 236810, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 547, 1083, 623, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 827, 623, 3250, 1083, 623, 18939, 5295, 527, 753, 43899, 111101, 15570, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236940, 236797, 236771, 236770, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 827, 623, 6386, 1083, 623, 5141, 86643, 53783, 23179, 3714, 547, 1083, 623, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 3250, 1083, 623, 18939, 5295, 527, 15097, 19791, 528, 49830, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236940, 236797, 236771, 236770, 236786, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 827, 623, 6386, 1083, 623, 168576, 44410, 497, 23179, 3714, 547, 1083, 623, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 3250, 1083, 623, 18939, 5295, 527, 15570, 20602, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236940, 236797, 236771, 236770, 236786, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 6386, 1083, 623, 24068, 80262, 23179, 3714, 547, 1083, 623, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 827, 623, 3250, 1083, 623, 18939, 5295, 527, 657, 15467, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236940, 236797, 236771, 236770, 236786, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 827, 623, 6386, 1083, 623, 65556, 24068, 23179, 3714, 547, 1083, 623, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 3250, 1083, 623, 18939, 5295, 527, 753, 111101, 66026, 11796, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236940, 236797, 236771, 236770, 236786, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 6386, 1083, 623, 111534, 202880, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132773, 236779, 1005, 1083, 623, 18939, 5295, 527, 25938, 106, 107, 105, 4368, 107, 818, 8325, 1463, 623, 18939, 5295, 527, 236775, 563, 3016, 528, 14361, 236764, 834, 506, 13959, 7474, 34892, 236761, 5715, 659, 506, 4876, 573, 822, 111101, 236772, 68122, 12441, 5984, 236787, 108, 236770, 236761, 870, 18939, 5295, 527, 753, 43899, 111101, 15570, 5457, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236940, 236797, 236771, 236770, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236768, 107, 236778, 236761, 870, 18939, 5295, 527, 15097, 19791, 528, 49830, 5457, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236940, 236797, 236771, 236770, 236786, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236768, 107, 236800, 236761, 870, 18939, 5295, 527, 15570, 20602, 5457, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236940, 236797, 236771, 236770, 236786, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236768, 107, 236812, 236761, 870, 18939, 5295, 527, 657, 15467, 5457, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236940, 236797, 236771, 236770, 236786, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236768, 107, 236810, 236761, 870, 18939, 5295, 527, 753, 111101, 66026, 11796, 5457, 2574, 1411, 2769, 236761, 168869, 236761, 854, 236786, 33864, 236786, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236940, 236797, 236771, 236770, 236786, 236810, 236825, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236768, 108, 3048, 740, 1161, 1239, 5467, 573, 822, 2633, 19365, 236764, 532, 506, 6831, 8651, 740, 4926, 623, 18939, 5295, 527, 236775, 618, 506, 8325, 1463, 568, 1904, 13959, 4354, 769, 28819, 822, 111101, 12441, 236888, 236743, 243336, 239794, 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, 6869, 496, 24240, 1894, 1948, 573, 861, 45435, 528, 1023, 3399, 8672, 1458, 236761, 5315, 236764, 564, 236789, 236753, 1133, 531, 2958, 6330, 6607, 528, 3361, 13023, 12524, 18567, 236761, 28344, 611, 1161, 506, 30136, 3927, 5904, 531, 1586, 9780, 653, 8634, 528, 18693, 236764, 63346, 600, 65607, 528, 72391, 97779, 236881, 119558, 659, 236743, 236800, 236825, 236761, 236819, 236771, 236832, 236778, 237366, 646, 236764, 236743, 236828, 236810, 236761, 236812, 236800, 236810, 236825, 237366, 649, 236761, 1637, 672, 4068, 3927, 4038, 236789, 236745, 6422, 7798, 2536, 236764, 5091, 6778, 506, 3927, 12425, 531, 3204, 14942, 21274, 1133, 61132, 532, 41232, 236764, 1699, 910, 15375, 236761, 564, 236789, 859, 1202, 9813, 1938, 580, 1027, 8385, 6607, 531, 18840, 910, 9108, 532, 6054, 1144, 4681, 2473, 981, 1791, 528, 1023, 3399, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 60891, 24394, 194698, 44234, 13628, 10981, 827, 623, 7720, 1083, 623, 236778, 236770, 236810, 7430, 842, 236764, 18693, 236764, 63346, 236743, 236812, 236778, 236832, 236778, 236828, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236778, 236828, 236764, 623, 27975, 1083, 11058, 39454, 827, 623, 66078, 13628, 6824, 14255, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236825, 236761, 236819, 236771, 236832, 236778, 236764, 623, 68520, 1083, 753, 236828, 236810, 236761, 236812, 236800, 236810, 236825, 1263, 623, 23019, 236779, 4818, 1083, 623, 65722, 31218, 23179, 3714, 1201, 1083, 623, 236780, 68482, 11849, 37607, 12730, 26457, 827, 623, 7720, 1083, 623, 236770, 236770, 236778, 236771, 646, 6400, 842, 236764, 61132, 236764, 63346, 236743, 236812, 236778, 236810, 236771, 236770, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236770, 236810, 236764, 623, 27975, 1083, 11058, 56753, 8381, 827, 623, 39454, 49501, 14255, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236825, 236761, 236828, 236770, 236812, 236810, 236764, 623, 68520, 1083, 753, 236828, 236810, 236761, 236825, 236800, 236832, 236828, 1263, 623, 23019, 236779, 4818, 1083, 623, 65722, 31218, 25938, 1604, 623, 2305, 236779, 12485, 236779, 89803, 1083, 236743, 236810, 236771, 236771, 236771, 236764, 623, 3677, 236779, 3456, 1083, 623, 19540, 12263, 30052, 80135, 9299, 566, 236812, 236761, 236778, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236812, 236810, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 7798, 72391, 97779, 6607, 8385, 528, 18693, 236764, 63346, 532, 14942, 61132, 236787, 108, 236770, 236761, 5213, 60891, 24394, 194698, 44234, 13628, 10981, 1018, 138, 107, 139, 236772, 15874, 236787, 236743, 236778, 236770, 236810, 7430, 842, 236764, 18693, 236764, 63346, 236743, 236812, 236778, 236832, 236778, 236828, 138, 107, 139, 236772, 47240, 236787, 136723, 236743, 236812, 236761, 236810, 568, 236778, 236828, 10595, 236768, 138, 107, 139, 236772, 30235, 236787, 181141, 32769, 607, 72391, 97779, 236764, 8172, 528, 496, 13023, 3399, 8672, 4403, 236761, 138, 108, 236778, 236761, 5213, 236780, 68482, 11849, 37607, 12730, 26457, 1018, 138, 107, 139, 236772, 15874, 236787, 236743, 236770, 236770, 236778, 236771, 646, 6400, 842, 236764, 61132, 236764, 63346, 236743, 236812, 236778, 236810, 236771, 236770, 138, 107, 139, 236772, 47240, 236787, 136723, 236743, 236812, 236761, 236778, 568, 236770, 236810, 10595, 236768, 138, 107, 139, 236772, 30235, 236787, 9426, 31100, 607, 97779, 6237, 236764, 12284, 496, 14942, 13023, 2433, 236761, 138, 108, 22186, 6607, 12833, 2351, 506, 3328, 42442, 11104, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 84567, 506, 3927, 12425, 531, 3204, 41232, 568, 56220, 236743, 236800, 236832, 236761, 236771, 236770, 236812, 236778, 237366, 646, 236764, 236743, 236828, 236810, 236761, 236819, 236778, 236800, 236819, 237366, 649, 236768, 573, 4767, 33772, 236881, 138, 107, 236778, 236761, 91820, 9813, 10595, 653, 3662, 1938, 573, 1239, 3530, 6607, 531, 18840, 910, 17934, 4681, 236881, 106, 107, 105, 2364, 107, 61728, 506, 3927, 531, 41232, 1699, 910, 15375, 236761, 4210, 21558, 1027, 97779, 6607, 993, 236764, 5091, 33205, 9813, 10595, 532, 3662, 1938, 573, 784, 6607, 1765, 3418, 506, 1806, 11024, 568, 113881, 236764, 61132, 236764, 532, 41232, 236768, 531, 10769, 910, 17934, 4681, 236764, 11213, 7021, 236764, 532, 2630, 19455, 236761, 1174, 795, 1601, 786, 6054, 86019, 44362, 573, 1023, 3399, 8672, 236789, 236751, 3548, 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, 29995, 1083, 3714, 8938, 1083, 623, 46456, 236743, 236800, 236825, 236761, 236819, 236771, 236832, 236778, 568, 113881, 236764, 63346, 16422, 779, 2506, 236743, 236800, 236832, 236761, 236771, 236770, 236812, 236778, 827, 623, 68520, 1083, 623, 46456, 753, 236828, 236810, 236761, 236812, 236800, 236810, 236825, 568, 113881, 236764, 63346, 16422, 779, 2506, 753, 236828, 236810, 236761, 236819, 236778, 236800, 236819, 236775, 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, 29995, 1083, 3714, 8938, 1083, 623, 3135, 236743, 236800, 236832, 236761, 236771, 236770, 236812, 236778, 1677, 711, 4241, 2430, 236772, 55423, 18693, 236764, 63346, 16422, 236743, 236800, 236825, 236761, 236819, 236771, 236832, 236778, 827, 623, 68520, 1083, 623, 3135, 753, 236828, 236810, 236761, 236819, 236778, 236800, 236819, 1677, 711, 4241, 2430, 236772, 55423, 18693, 236764, 63346, 16422, 753, 236828, 236810, 236761, 236812, 236800, 236810, 236825, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 19031, 1083, 3714, 3278, 1083, 623, 29092, 1277, 97779, 1948, 827, 623, 8938, 1083, 236743, 236800, 236832, 236761, 236771, 236770, 236812, 236778, 236764, 623, 68520, 1083, 753, 236828, 236810, 236761, 236819, 236778, 236800, 236819, 236764, 623, 35076, 1083, 236743, 236770, 236800, 1263, 623, 12103, 1083, 78493, 1201, 1083, 623, 159154, 194698, 44234, 13628, 10981, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 19180, 25692, 236764, 18693, 236764, 63346, 236743, 236812, 236778, 236832, 236778, 236828, 827, 623, 5275, 1083, 33865, 236778, 236832, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236812, 236778, 827, 623, 31935, 1083, 623, 2769, 236761, 4221, 658, 13628, 236761, 2187, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 27975, 1083, 11058, 39454, 827, 623, 66078, 13628, 41327, 152254, 3714, 1201, 1083, 623, 4199, 37607, 12730, 40434, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 9426, 17713, 236764, 61132, 236764, 63346, 236743, 236812, 236778, 236810, 236771, 236770, 827, 623, 5275, 1083, 33865, 236825, 236771, 236825, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 31935, 1083, 623, 2769, 236761, 1951, 82474, 52502, 4221, 236761, 854, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 27975, 1083, 11058, 42862, 17263, 827, 623, 46640, 41327, 152254, 3714, 1201, 1083, 623, 222586, 194698, 62746, 10981, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 90265, 6718, 236764, 41232, 236764, 63346, 236743, 236812, 236778, 236832, 236812, 236770, 827, 623, 5275, 1083, 33865, 236778, 236832, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236770, 236832, 827, 623, 31935, 1083, 623, 22713, 236759, 21093, 1398, 567, 236761, 2187, 236786, 658, 13628, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 27975, 1083, 11058, 39454, 827, 623, 56753, 8236, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 2305, 236779, 12485, 236779, 89803, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 9813, 12396, 3418, 784, 1806, 11024, 236787, 108, 1018, 236770, 236761, 14105, 24394, 194698, 44234, 13628, 10981, 568, 113881, 236764, 63346, 62902, 138, 107, 236772, 15874, 236787, 236743, 236778, 236770, 236810, 7430, 842, 236764, 18693, 236764, 63346, 236743, 236812, 236778, 236832, 236778, 236828, 138, 107, 236772, 13948, 236787, 568, 236778, 236832, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236812, 236778, 1109, 870, 42475, 5457, 2769, 236761, 4221, 658, 13628, 236761, 2187, 236768, 138, 107, 236772, 47240, 236787, 136723, 236743, 236812, 236761, 236810, 568, 236778, 236828, 10595, 236768, 138, 107, 236772, 30235, 236787, 39259, 72391, 97779, 236764, 24240, 1894, 4402, 236764, 532, 5707, 2913, 28023, 236761, 138, 108, 1018, 236778, 236761, 100374, 11849, 37607, 12730, 26457, 568, 25756, 24753, 236764, 63346, 62902, 138, 107, 236772, 15874, 236787, 236743, 236770, 236770, 236778, 236771, 646, 6400, 842, 236764, 61132, 236764, 63346, 236743, 236812, 236778, 236810, 236771, 236770, 138, 107, 236772, 13948, 236787, 568, 236825, 236771, 236825, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 1109, 870, 42475, 5457, 2769, 236761, 1951, 82474, 52502, 4221, 236761, 854, 236768, 138, 107, 236772, 47240, 236787, 136723, 236743, 236812, 236761, 236778, 568, 236770, 236810, 10595, 236768, 138, 107, 236772, 30235, 236787, 9426, 31100, 607, 97779, 6237, 236764, 2440, 861, 236772, 28734, 89410, 532, 25755, 14984, 236761, 138, 108, 1018, 236800, 236761, 41232, 194698, 62746, 10981, 568, 222586, 236764, 63346, 62902, 138, 107, 236772, 15874, 236787, 236743, 236832, 236828, 236819, 90265, 6718, 236764, 41232, 236764, 63346, 236743, 236812, 236778, 236832, 236812, 236770, 138, 107, 236772, 13948, 236787, 568, 236778, 236832, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236770, 236832, 1109, 870, 42475, 5457, 22713, 236759, 21093, 1398, 567, 236761, 2187, 236786, 658, 13628, 236768, 138, 107, 236772, 47240, 236787, 136723, 236743, 236812, 236761, 236832, 568, 236770, 236778, 10595, 236768, 138, 107, 236772, 30235, 236787, 62746, 236772, 991, 97779, 573, 751, 236772, 236770, 236778, 532, 3399, 8672, 45435, 236764, 79720, 9069, 2404, 1894, 236761, 138, 108, 1018, 9272, 50228, 573, 13768, 53121, 138, 107, 236770, 236761, 5213, 30852, 16748, 53121, 21284, 611, 1133, 786, 531, 33205, 3530, 10595, 653, 106834, 699, 1239, 6607, 4323, 12267, 118575, 653, 1032, 14175, 236881, 138, 107, 236778, 236761, 5213, 90147, 49174, 53121, 18975, 564, 3927, 573, 1237, 11213, 111199, 653, 24027, 5143, 607, 1239, 6607, 236881, 138, 107, 236800, 236761, 5213, 18084, 116589, 53121, 3574, 611, 1202, 1601, 21558, 25030, 15187, 568, 236744, 236761, 236759, 1126, 27215, 6224, 236764, 9800, 17681, 14900, 236768, 699, 1239, 6607, 236881, 138, 108, 2094, 1262, 4728, 496, 13916, 573, 22020, 13023, 97779, 44362, 236761, 3792, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 96596, 506, 3671, 236888, 106, 107, 105, 2364, 107, 163501, 3530, 10595, 699, 12267, 118575, 573, 1239, 6607, 1699, 506, 12967, 236779, 16988, 5904, 236761, 1637, 672, 20269, 2779, 531, 9724, 11713, 62606, 236764, 8430, 506, 1346, 4803, 10595, 5467, 699, 910, 17909, 568, 4221, 658, 13628, 236761, 2187, 236764, 861, 82474, 52502, 4221, 236761, 854, 236764, 69528, 236759, 21093, 1398, 567, 236761, 2187, 236786, 658, 13628, 236768, 531, 18840, 32571, 9697, 236761, 1701, 2630, 19455, 236764, 3213, 580, 21558, 1027, 25940, 7659, 27215, 6224, 236764, 9800, 17681, 14900, 236764, 653, 7224, 11213, 4889, 699, 1239, 6607, 531, 10769, 910, 20294, 532, 24488, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 236810, 236760, 236819, 236755, 236812, 236778, 236812, 236825, 236810, 236812, 236812, 236771, 236812, 236760, 236771, 236771, 236770, 236819, 30015, 236770, 236819, 16652, 827, 623, 1201, 1083, 623, 65944, 11860, 827, 623, 7125, 1083, 623, 113881, 236764, 63346, 827, 623, 6774, 1083, 623, 35304, 957, 236761, 62785, 1588, 236940, 8358, 236761, 854, 827, 623, 66850, 1083, 3714, 6725, 1083, 236743, 236770, 236778, 236832, 236764, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 43852, 236779, 66850, 1083, 78493, 23019, 236779, 1201, 1083, 623, 38354, 194698, 44234, 13628, 10981, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 1005, 1083, 623, 902, 85159, 1894, 1458, 573, 861, 10411, 528, 13023, 20969, 9332, 1263, 3714, 23019, 236779, 1201, 1083, 623, 60891, 24394, 37607, 17263, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 1005, 1083, 623, 28368, 1275, 5405, 840, 5809, 13023, 3213, 236775, 200808, 623, 13330, 236779, 87622, 1083, 1847, 236764, 623, 14531, 236779, 25142, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 45217, 3671, 699, 12267, 118575, 10595, 532, 4456, 3004, 236787, 108, 1018, 236770, 236761, 63346, 194698, 44234, 13628, 10981, 568, 113881, 236764, 63346, 62902, 138, 107, 236772, 5213, 55006, 118575, 9352, 66515, 138, 107, 138, 69760, 125614, 623, 902, 85159, 1894, 1458, 573, 861, 10411, 528, 13023, 20969, 9332, 138, 107, 138, 69760, 69760, 239203, 623, 28368, 1275, 5405, 840, 5809, 13023, 3213, 236775, 568, 2543, 14105, 63346, 37607, 17263, 236764, 496, 4596, 13186, 236768, 138, 107, 236772, 5213, 42475, 76374, 1018, 568, 4221, 658, 13628, 236761, 2187, 1473, 138, 107, 138, 236772, 70731, 236743, 236819, 236771, 236908, 27215, 3136, 3571, 197115, 45435, 1024, 236743, 236800, 1518, 138, 107, 138, 236772, 208284, 684, 24394, 5570, 529, 9426, 24027, 532, 2263, 8672, 33000, 138, 108, 1018, 236778, 236761, 1799, 37607, 12730, 40434, 568, 25756, 24753, 236764, 63346, 62902, 138, 107, 236772, 5213, 55006, 118575, 29520, 66515, 138, 107, 138, 69760, 69760, 239203, 623, 212169, 25755, 14984, 8907, 786, 21332, 13023, 2528, 8991, 236775, 568, 2543, 4456, 116776, 236768, 138, 107, 236772, 5213, 42475, 5774, 1018, 568, 1951, 82474, 52502, 4221, 236761, 854, 1473, 138, 107, 138, 236772, 27708, 236743, 236832, 236828, 236908, 32571, 17681, 3136, 528, 7384, 27290, 138, 107, 138, 236772, 208284, 1343, 17310, 3664, 7933, 24027, 573, 9800, 2913, 138, 108, 1018, 236800, 236761, 41232, 194698, 62746, 10981, 1018, 138, 107, 236772, 5213, 42475, 5803, 164642, 1018, 568, 22713, 236759, 21093, 1398, 567, 236761, 2187, 236786, 658, 13628, 1473, 138, 107, 138, 69760, 125614, 623, 818, 24240, 9069, 2404, 1894, 2299, 10683, 1041, 10299, 6334, 1913, 10248, 5013, 236775, 138, 107, 236772, 5213, 18084, 116589, 66515, 138, 107, 138, 236772, 76884, 609, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 528, 7384, 11213, 699, 2263, 4993, 38731, 138, 107, 138, 236772, 56217, 236743, 236828, 236810, 236908, 1948, 15323, 3136, 3418, 236743, 236810, 105117, 138, 108, 1018, 163447, 36376, 91330, 66515, 138, 107, 236770, 236761, 5213, 131022, 9483, 66515, 116834, 41232, 236789, 236751, 24240, 9069, 2404, 1894, 3904, 9292, 607, 18693, 236789, 236751, 7224, 236772, 61827, 6511, 3707, 138, 107, 236778, 236761, 5213, 115047, 140165, 66515, 173574, 61132, 236789, 236751, 25755, 14984, 607, 6551, 97779, 19505, 568, 7720, 522, 42442, 8991, 236768, 138, 107, 236800, 236761, 5213, 221962, 66515, 82974, 687, 55044, 11213, 699, 7933, 17310, 3664, 24027, 568, 25756, 24753, 2028, 236768, 900, 1883, 4993, 33000, 568, 113881, 2028, 236768, 138, 108, 31336, 564, 17395, 3530, 7224, 3739, 6585, 653, 1668, 496, 5498, 1948, 3904, 2721, 580, 1239, 12396, 236881, 106, 107, 105, 2364, 107, 26925, 496, 5498, 1948, 3904, 600, 71926, 41232, 236789, 236751, 24240, 9069, 2404, 1894, 607, 18693, 236789, 236751, 7224, 236772, 61827, 6511, 3707, 236764, 1651, 40825, 61132, 236789, 236751, 25755, 14984, 22882, 573, 13023, 25028, 8991, 568, 236744, 236761, 236759, 1126, 16217, 528, 236772, 8269, 236786, 48446, 97779, 19505, 769, 12213, 496, 6195, 11213, 7545, 26614, 1883, 33000, 532, 7933, 17310, 3664, 24027, 236764, 43149, 1308, 506, 1346, 6595, 4820, 8385, 236761, 1174, 795, 1601, 786, 1861, 496, 12625, 10318, 531, 1023, 8672, 9635, 573, 4068, 13196, 236761, 106, 107, 105, 4368, 107, 1018, 116499, 62746, 12730, 6824, 23718, 236787, 39259, 194698, 156649, 6824, 568, 12941, 236791, 62902, 138, 107, 236829, 97880, 36376, 573, 11493, 7430, 1799, 163244, 236829, 138, 108, 7243, 108, 10354, 5213, 236770, 236761, 6824, 23718, 1018, 138, 107, 1018, 236776, 236761, 62746, 41111, 5554, 12730, 568, 222586, 9483, 62902, 138, 107, 236772, 5213, 97850, 31023, 62746, 152158, 66515, 236743, 236825, 236771, 236772, 20353, 32520, 14845, 5378, 684, 15453, 24240, 177306, 568, 78414, 45435, 779, 19541, 580, 5013, 3997, 236764, 19074, 8991, 236764, 532, 981, 236772, 9524, 7002, 236761, 138, 107, 236772, 5213, 117183, 5554, 18238, 66515, 118836, 607, 2263, 95163, 531, 2847, 2196, 236743, 236770, 236787, 236770, 14845, 573, 45435, 528, 11127, 236761, 138, 107, 236772, 5213, 97446, 51474, 40392, 66515, 57843, 5058, 573, 45435, 531, 4024, 8991, 532, 10744, 580, 14050, 573, 2299, 18701, 236761, 138, 108, 1018, 236799, 236761, 92381, 89856, 833, 22858, 10981, 568, 25756, 24753, 900, 18693, 40121, 62902, 138, 107, 236772, 5213, 212169, 2154, 40343, 112451, 66515, 138, 107, 138, 236772, 236743, 236825, 236772, 14808, 3489, 3003, 14086, 13023, 4993, 1791, 10154, 568, 236744, 236761, 236759, 1126, 5074, 236772, 9619, 19074, 11298, 236764, 3399, 15154, 769, 138, 107, 138, 236772, 11994, 9427, 529, 623, 13265, 528, 506, 8586, 236775, 25521, 699, 26896, 13023, 45435, 236761, 138, 107, 236772, 5213, 131022, 44234, 13628, 17422, 236751, 66515, 138, 107, 138, 236772, 16647, 4402, 529, 236743, 236812, 236964, 236810, 861, 45435, 33481, 607, 496, 37171, 573, 13822, 528, 236772, 8269, 13721, 568, 150328, 11024, 3418, 13023, 73696, 236768, 900, 2702, 65775, 9144, 2426, 236772, 1365, 236761, 138, 107, 138, 236772, 18424, 44234, 13628, 15610, 236787, 562, 3027, 14840, 607, 14896, 532, 5405, 531, 4301, 531, 10883, 4106, 573, 28023, 236761, 138, 108, 1018, 236780, 236761, 39259, 111886, 43291, 847, 1018, 138, 107, 236772, 5213, 129822, 22858, 85043, 66515, 15425, 21090, 607, 877, 29437, 4122, 10103, 532, 16183, 236772, 15081, 23693, 573, 45435, 607, 5809, 8379, 2802, 236761, 138, 107, 236772, 5213, 46640, 32300, 19839, 236751, 66515, 7803, 606, 1237, 25027, 532, 2263, 7958, 618, 25045, 5395, 9952, 607, 14484, 236772, 12383, 2802, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 68542, 34428, 1018, 138, 107, 1018, 236776, 236761, 3245, 118836, 568, 113881, 9483, 62902, 138, 107, 236772, 5213, 159154, 5570, 529, 9426, 70409, 66515, 30839, 573, 506, 609, 236810, 236771, 236764, 236771, 236771, 236771, 39259, 194698, 12730, 20819, 568, 4647, 607, 18693, 236858, 236751, 11213, 7021, 769, 138, 107, 236772, 5213, 46640, 7430, 93582, 66515, 34401, 5405, 3418, 236743, 236828, 236964, 236770, 236771, 13023, 28319, 531, 4024, 5384, 529, 506, 6551, 97779, 4360, 532, 2948, 9427, 236761, 138, 108, 1018, 236799, 236761, 9852, 17310, 3664, 70409, 568, 25756, 24753, 9483, 62902, 138, 107, 236772, 5213, 7396, 3664, 236764, 4040, 562, 47110, 66515, 23170, 609, 236832, 236810, 236764, 236771, 236771, 236771, 24321, 573, 9800, 4122, 532, 67981, 5085, 568, 527, 1456, 684, 61132, 769, 138, 107, 236772, 5213, 136904, 30235, 66515, 4075, 9042, 969, 13023, 236772, 15396, 8991, 568, 236744, 236761, 236759, 1126, 23049, 236764, 6511, 28893, 236768, 531, 8913, 607, 7933, 28304, 236761, 138, 108, 1018, 236780, 236761, 19782, 236786, 45361, 12730, 1018, 138, 107, 236772, 5213, 13149, 9426, 90530, 66515, 82974, 687, 609, 236778, 236810, 236764, 236771, 236771, 236771, 528, 7384, 206342, 699, 9780, 1133, 506, 41232, 9426, 11032, 568, 5140, 580, 910, 11213, 4083, 769, 138, 107, 236772, 5213, 96708, 118836, 66515, 32300, 607, 1511, 236772, 17470, 4699, 568, 236744, 236761, 236759, 1126, 5185, 913, 24852, 236764, 6475, 573, 9426, 236768, 573, 53838, 6436, 532, 14628, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 21942, 116589, 833, 72143, 1018, 138, 107, 236909, 5213, 84276, 1018, 152, 236909, 5213, 10206, 1018, 162, 236909, 5213, 5825, 1018, 162, 236909, 138, 107, 236909, 2819, 40673, 236909, 2819, 2819, 30104, 236909, 2819, 2819, 30104, 236909, 138, 107, 236909, 194698, 119002, 25870, 139, 236909, 57846, 236828, 236810, 236908, 1308, 236743, 236800, 1518, 154, 236909, 18693, 236858, 236751, 236743, 236819, 236771, 236908, 27215, 30998, 138, 236909, 138, 107, 236909, 6824, 116695, 142, 236909, 57846, 236812, 236761, 236810, 236786, 236810, 4398, 14470, 151, 236909, 63919, 27290, 900, 12267, 118575, 236772, 3061, 9697, 1109, 138, 107, 236909, 20819, 111786, 25870, 144, 236909, 236743, 236819, 236771, 236908, 529, 4068, 11213, 23226, 140, 236909, 30452, 17310, 3664, 532, 1883, 7224, 194843, 1109, 138, 107, 236909, 39259, 111886, 143, 236909, 236743, 236770, 236771, 236771, 236908, 529, 11383, 2072, 2802, 138, 236909, 6531, 236772, 17185, 27290, 152, 236909, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 50698, 89254, 1018, 138, 107, 1018, 156171, 236743, 236770, 236964, 236800, 66515, 57843, 10338, 11213, 699, 8672, 72962, 900, 18336, 24027, 236761, 138, 107, 1018, 156171, 236743, 236812, 236964, 236825, 66515, 6521, 9144, 5058, 236764, 20699, 69806, 236764, 532, 8912, 6551, 4360, 236761, 138, 107, 1018, 156171, 236743, 236832, 236964, 236770, 236778, 66515, 10456, 1948, 101900, 607, 236743, 236800, 105117, 568, 10141, 236764, 6247, 236764, 5312, 769, 138, 108, 7243, 108, 10354, 5213, 236810, 236761, 42860, 17151, 236772, 902, 34428, 1018, 138, 107, 236772, 5213, 118575, 105971, 66515, 16499, 609, 236778, 236771, 236764, 236771, 236771, 236771, 573, 496, 236743, 236825, 236772, 11283, 18336, 28307, 236743, 236778, 236810, 861, 45435, 236761, 138, 107, 236772, 5213, 2100, 236772, 154902, 63754, 66515, 118189, 41232, 236858, 236751, 236743, 236828, 236810, 236908, 15323, 3136, 532, 61132, 236858, 236751, 7933, 11213, 2630, 531, 15128, 66431, 236761, 138, 107, 236772, 5213, 131115, 1837, 212649, 66515, 4075, 9042, 969, 2157, 236772, 58205, 607, 38477, 28319, 532, 38731, 236761, 138, 108, 38786, 611, 1133, 786, 531, 12262, 496, 236743, 236778, 236772, 4000, 12153, 12323, 573, 822, 9635, 653, 59638, 3530, 10458, 568, 236744, 236761, 236759, 1126, 7715, 25890, 236764, 37171, 29859, 2731, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6869, 496, 24240, 1894, 1948, 573, 861, 45435, 528, 1023, 3399, 8672, 1458, 236761, 5315, 236764, 564, 236789, 236753, 1133, 531, 2958, 6330, 6607, 528, 3361, 13023, 12524, 18567, 236761, 28344, 611, 1161, 506, 30136, 3927, 5904, 531, 1586, 9780, 653, 8634, 528, 18693, 236764, 63346, 600, 65607, 528, 72391, 97779, 236881, 119558, 659, 236743, 236800, 236825, 236761, 236819, 236771, 236832, 236778, 237366, 646, 236764, 236743, 236828, 236810, 236761, 236812, 236800, 236810, 236825, 237366, 649, 236761, 1637, 672, 4068, 3927, 4038, 236789, 236745, 6422, 7798, 2536, 236764, 5091, 6778, 506, 3927, 12425, 531, 3204, 14942, 21274, 1133, 61132, 532, 41232, 236764, 1699, 910, 15375, 236761, 564, 236789, 859, 1202, 9813, 1938, 580, 1027, 8385, 6607, 531, 18840, 910, 9108, 532, 6054, 1144, 4681, 2473, 981, 1791, 528, 1023, 3399, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 60891, 24394, 194698, 44234, 13628, 10981, 827, 623, 7720, 1083, 623, 236778, 236770, 236810, 7430, 842, 236764, 18693, 236764, 63346, 236743, 236812, 236778, 236832, 236778, 236828, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236778, 236828, 236764, 623, 27975, 1083, 11058, 39454, 827, 623, 66078, 13628, 6824, 14255, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236825, 236761, 236819, 236771, 236832, 236778, 236764, 623, 68520, 1083, 753, 236828, 236810, 236761, 236812, 236800, 236810, 236825, 1263, 623, 23019, 236779, 4818, 1083, 623, 65722, 31218, 23179, 3714, 1201, 1083, 623, 236780, 68482, 11849, 37607, 12730, 26457, 827, 623, 7720, 1083, 623, 236770, 236770, 236778, 236771, 646, 6400, 842, 236764, 61132, 236764, 63346, 236743, 236812, 236778, 236810, 236771, 236770, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 25612, 236779, 2861, 1083, 236743, 236770, 236810, 236764, 623, 27975, 1083, 11058, 56753, 8381, 827, 623, 39454, 49501, 14255, 623, 56220, 1083, 3714, 8938, 1083, 236743, 236800, 236825, 236761, 236828, 236770, 236812, 236810, 236764, 623, 68520, 1083, 753, 236828, 236810, 236761, 236825, 236800, 236832, 236828, 1263, 623, 23019, 236779, 4818, 1083, 623, 65722, 31218, 25938, 1604, 623, 2305, 236779, 12485, 236779, 89803, 1083, 236743, 236810, 236771, 236771, 236771, 236764, 623, 3677, 236779, 3456, 1083, 623, 19540, 12263, 30052, 80135, 9299, 566, 236812, 236761, 236778, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236812, 236810, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 7798, 72391, 97779, 6607, 8385, 528, 18693, 236764, 63346, 532, 14942, 61132, 236787, 108, 236770, 236761, 5213, 60891, 24394, 194698, 44234, 13628, 10981, 1018, 138, 107, 139, 236772, 15874, 236787, 236743, 236778, 236770, 236810, 7430, 842, 236764, 18693, 236764, 63346, 236743, 236812, 236778, 236832, 236778, 236828, 138, 107, 139, 236772, 47240, 236787, 136723, 236743, 236812, 236761, 236810, 568, 236778, 236828, 10595, 236768, 138, 107, 139, 236772, 30235, 236787, 181141, 32769, 607, 72391, 97779, 236764, 8172, 528, 496, 13023, 3399, 8672, 4403, 236761, 138, 108, 236778, 236761, 5213, 236780, 68482, 11849, 37607, 12730, 26457, 1018, 138, 107, 139, 236772, 15874, 236787, 236743, 236770, 236770, 236778, 236771, 646, 6400, 842, 236764, 61132, 236764, 63346, 236743, 236812, 236778, 236810, 236771, 236770, 138, 107, 139, 236772, 47240, 236787, 136723, 236743, 236812, 236761, 236778, 568, 236770, 236810, 10595, 236768, 138, 107, 139, 236772, 30235, 236787, 9426, 31100, 607, 97779, 6237, 236764, 12284, 496, 14942, 13023, 2433, 236761, 138, 108, 22186, 6607, 12833, 2351, 506, 3328, 42442, 11104, 236761, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 84567, 506, 3927, 12425, 531, 3204, 41232, 568, 56220, 236743, 236800, 236832, 236761, 236771, 236770, 236812, 236778, 237366, 646, 236764, 236743, 236828, 236810, 236761, 236819, 236778, 236800, 236819, 237366, 649, 236768, 573, 4767, 33772, 236881, 138, 107, 236778, 236761, 91820, 9813, 10595, 653, 3662, 1938, 573, 1239, 3530, 6607, 531, 18840, 910, 17934, 4681, 236881, 106, 107, 105, 2364, 107, 61728, 506, 3927, 531, 41232, 1699, 910, 15375, 236761, 4210, 21558, 1027, 97779, 6607, 993, 236764, 5091, 33205, 9813, 10595, 532, 3662, 1938, 573, 784, 6607, 1765, 3418, 506, 1806, 11024, 568, 113881, 236764, 61132, 236764, 532, 41232, 236768, 531, 10769, 910, 17934, 4681, 236764, 11213, 7021, 236764, 532, 2630, 19455, 236761, 1174, 795, 1601, 786, 6054, 86019, 44362, 573, 1023, 3399, 8672, 236789, 236751, 3548, 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, 29995, 1083, 3714, 8938, 1083, 623, 46456, 236743, 236800, 236825, 236761, 236819, 236771, 236832, 236778, 568, 113881, 236764, 63346, 16422, 779, 2506, 236743, 236800, 236832, 236761, 236771, 236770, 236812, 236778, 827, 623, 68520, 1083, 623, 46456, 753, 236828, 236810, 236761, 236812, 236800, 236810, 236825, 568, 113881, 236764, 63346, 16422, 779, 2506, 753, 236828, 236810, 236761, 236819, 236778, 236800, 236819, 236775, 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, 29995, 1083, 3714, 8938, 1083, 623, 3135, 236743, 236800, 236832, 236761, 236771, 236770, 236812, 236778, 1677, 711, 4241, 2430, 236772, 55423, 18693, 236764, 63346, 16422, 236743, 236800, 236825, 236761, 236819, 236771, 236832, 236778, 827, 623, 68520, 1083, 623, 3135, 753, 236828, 236810, 236761, 236819, 236778, 236800, 236819, 1677, 711, 4241, 2430, 236772, 55423, 18693, 236764, 63346, 16422, 753, 236828, 236810, 236761, 236812, 236800, 236810, 236825, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 19031, 1083, 3714, 3278, 1083, 623, 29092, 1277, 97779, 1948, 827, 623, 8938, 1083, 236743, 236800, 236832, 236761, 236771, 236770, 236812, 236778, 236764, 623, 68520, 1083, 753, 236828, 236810, 236761, 236819, 236778, 236800, 236819, 236764, 623, 35076, 1083, 236743, 236770, 236800, 1263, 623, 12103, 1083, 78493, 1201, 1083, 623, 159154, 194698, 44234, 13628, 10981, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 19180, 25692, 236764, 18693, 236764, 63346, 236743, 236812, 236778, 236832, 236778, 236828, 827, 623, 5275, 1083, 33865, 236778, 236832, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236812, 236778, 827, 623, 31935, 1083, 623, 2769, 236761, 4221, 658, 13628, 236761, 2187, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 27975, 1083, 11058, 39454, 827, 623, 66078, 13628, 41327, 152254, 3714, 1201, 1083, 623, 4199, 37607, 12730, 40434, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 9426, 17713, 236764, 61132, 236764, 63346, 236743, 236812, 236778, 236810, 236771, 236770, 827, 623, 5275, 1083, 33865, 236825, 236771, 236825, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 827, 623, 31935, 1083, 623, 2769, 236761, 1951, 82474, 52502, 4221, 236761, 854, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 236764, 623, 27975, 1083, 11058, 42862, 17263, 827, 623, 46640, 41327, 152254, 3714, 1201, 1083, 623, 222586, 194698, 62746, 10981, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 90265, 6718, 236764, 41232, 236764, 63346, 236743, 236812, 236778, 236832, 236812, 236770, 827, 623, 5275, 1083, 33865, 236778, 236832, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236770, 236832, 827, 623, 31935, 1083, 623, 22713, 236759, 21093, 1398, 567, 236761, 2187, 236786, 658, 13628, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 27975, 1083, 11058, 39454, 827, 623, 56753, 8236, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 2305, 236779, 12485, 236779, 89803, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 9813, 12396, 3418, 784, 1806, 11024, 236787, 108, 1018, 236770, 236761, 14105, 24394, 194698, 44234, 13628, 10981, 568, 113881, 236764, 63346, 62902, 138, 107, 236772, 15874, 236787, 236743, 236778, 236770, 236810, 7430, 842, 236764, 18693, 236764, 63346, 236743, 236812, 236778, 236832, 236778, 236828, 138, 107, 236772, 13948, 236787, 568, 236778, 236832, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236812, 236778, 1109, 870, 42475, 5457, 2769, 236761, 4221, 658, 13628, 236761, 2187, 236768, 138, 107, 236772, 47240, 236787, 136723, 236743, 236812, 236761, 236810, 568, 236778, 236828, 10595, 236768, 138, 107, 236772, 30235, 236787, 39259, 72391, 97779, 236764, 24240, 1894, 4402, 236764, 532, 5707, 2913, 28023, 236761, 138, 108, 1018, 236778, 236761, 100374, 11849, 37607, 12730, 26457, 568, 25756, 24753, 236764, 63346, 62902, 138, 107, 236772, 15874, 236787, 236743, 236770, 236770, 236778, 236771, 646, 6400, 842, 236764, 61132, 236764, 63346, 236743, 236812, 236778, 236810, 236771, 236770, 138, 107, 236772, 13948, 236787, 568, 236825, 236771, 236825, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236819, 236828, 1109, 870, 42475, 5457, 2769, 236761, 1951, 82474, 52502, 4221, 236761, 854, 236768, 138, 107, 236772, 47240, 236787, 136723, 236743, 236812, 236761, 236778, 568, 236770, 236810, 10595, 236768, 138, 107, 236772, 30235, 236787, 9426, 31100, 607, 97779, 6237, 236764, 2440, 861, 236772, 28734, 89410, 532, 25755, 14984, 236761, 138, 108, 1018, 236800, 236761, 41232, 194698, 62746, 10981, 568, 222586, 236764, 63346, 62902, 138, 107, 236772, 15874, 236787, 236743, 236832, 236828, 236819, 90265, 6718, 236764, 41232, 236764, 63346, 236743, 236812, 236778, 236832, 236812, 236770, 138, 107, 236772, 13948, 236787, 568, 236778, 236832, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236771, 236770, 236770, 236832, 1109, 870, 42475, 5457, 22713, 236759, 21093, 1398, 567, 236761, 2187, 236786, 658, 13628, 236768, 138, 107, 236772, 47240, 236787, 136723, 236743, 236812, 236761, 236832, 568, 236770, 236778, 10595, 236768, 138, 107, 236772, 30235, 236787, 62746, 236772, 991, 97779, 573, 751, 236772, 236770, 236778, 532, 3399, 8672, 45435, 236764, 79720, 9069, 2404, 1894, 236761, 138, 108, 1018, 9272, 50228, 573, 13768, 53121, 138, 107, 236770, 236761, 5213, 30852, 16748, 53121, 21284, 611, 1133, 786, 531, 33205, 3530, 10595, 653, 106834, 699, 1239, 6607, 4323, 12267, 118575, 653, 1032, 14175, 236881, 138, 107, 236778, 236761, 5213, 90147, 49174, 53121, 18975, 564, 3927, 573, 1237, 11213, 111199, 653, 24027, 5143, 607, 1239, 6607, 236881, 138, 107, 236800, 236761, 5213, 18084, 116589, 53121, 3574, 611, 1202, 1601, 21558, 25030, 15187, 568, 236744, 236761, 236759, 1126, 27215, 6224, 236764, 9800, 17681, 14900, 236768, 699, 1239, 6607, 236881, 138, 108, 2094, 1262, 4728, 496, 13916, 573, 22020, 13023, 97779, 44362, 236761, 3792, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 96596, 506, 3671, 236888, 106, 107, 105, 2364, 107, 163501, 3530, 10595, 699, 12267, 118575, 573, 1239, 6607, 1699, 506, 12967, 236779, 16988, 5904, 236761, 1637, 672, 20269, 2779, 531, 9724, 11713, 62606, 236764, 8430, 506, 1346, 4803, 10595, 5467, 699, 910, 17909, 568, 4221, 658, 13628, 236761, 2187, 236764, 861, 82474, 52502, 4221, 236761, 854, 236764, 69528, 236759, 21093, 1398, 567, 236761, 2187, 236786, 658, 13628, 236768, 531, 18840, 32571, 9697, 236761, 1701, 2630, 19455, 236764, 3213, 580, 21558, 1027, 25940, 7659, 27215, 6224, 236764, 9800, 17681, 14900, 236764, 653, 7224, 11213, 4889, 699, 1239, 6607, 531, 10769, 910, 20294, 532, 24488, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2364, 236779, 547, 1083, 623, 236810, 236760, 236819, 236755, 236812, 236778, 236812, 236825, 236810, 236812, 236812, 236771, 236812, 236760, 236771, 236771, 236770, 236819, 30015, 236770, 236819, 16652, 827, 623, 1201, 1083, 623, 65944, 11860, 827, 623, 7125, 1083, 623, 113881, 236764, 63346, 827, 623, 6774, 1083, 623, 35304, 957, 236761, 62785, 1588, 236940, 8358, 236761, 854, 827, 623, 66850, 1083, 3714, 6725, 1083, 236743, 236770, 236778, 236832, 236764, 623, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 43852, 236779, 66850, 1083, 78493, 23019, 236779, 1201, 1083, 623, 38354, 194698, 44234, 13628, 10981, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 1005, 1083, 623, 902, 85159, 1894, 1458, 573, 861, 10411, 528, 13023, 20969, 9332, 1263, 3714, 23019, 236779, 1201, 1083, 623, 60891, 24394, 37607, 17263, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 1005, 1083, 623, 28368, 1275, 5405, 840, 5809, 13023, 3213, 236775, 200808, 623, 13330, 236779, 87622, 1083, 1847, 236764, 623, 14531, 236779, 25142, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236800, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 45217, 3671, 699, 12267, 118575, 10595, 532, 4456, 3004, 236787, 108, 1018, 236770, 236761, 63346, 194698, 44234, 13628, 10981, 568, 113881, 236764, 63346, 62902, 138, 107, 236772, 5213, 55006, 118575, 9352, 66515, 138, 107, 138, 69760, 125614, 623, 902, 85159, 1894, 1458, 573, 861, 10411, 528, 13023, 20969, 9332, 138, 107, 138, 69760, 69760, 239203, 623, 28368, 1275, 5405, 840, 5809, 13023, 3213, 236775, 568, 2543, 14105, 63346, 37607, 17263, 236764, 496, 4596, 13186, 236768, 138, 107, 236772, 5213, 42475, 76374, 1018, 568, 4221, 658, 13628, 236761, 2187, 1473, 138, 107, 138, 236772, 70731, 236743, 236819, 236771, 236908, 27215, 3136, 3571, 197115, 45435, 1024, 236743, 236800, 1518, 138, 107, 138, 236772, 208284, 684, 24394, 5570, 529, 9426, 24027, 532, 2263, 8672, 33000, 138, 108, 1018, 236778, 236761, 1799, 37607, 12730, 40434, 568, 25756, 24753, 236764, 63346, 62902, 138, 107, 236772, 5213, 55006, 118575, 29520, 66515, 138, 107, 138, 69760, 69760, 239203, 623, 212169, 25755, 14984, 8907, 786, 21332, 13023, 2528, 8991, 236775, 568, 2543, 4456, 116776, 236768, 138, 107, 236772, 5213, 42475, 5774, 1018, 568, 1951, 82474, 52502, 4221, 236761, 854, 1473, 138, 107, 138, 236772, 27708, 236743, 236832, 236828, 236908, 32571, 17681, 3136, 528, 7384, 27290, 138, 107, 138, 236772, 208284, 1343, 17310, 3664, 7933, 24027, 573, 9800, 2913, 138, 108, 1018, 236800, 236761, 41232, 194698, 62746, 10981, 1018, 138, 107, 236772, 5213, 42475, 5803, 164642, 1018, 568, 22713, 236759, 21093, 1398, 567, 236761, 2187, 236786, 658, 13628, 1473, 138, 107, 138, 69760, 125614, 623, 818, 24240, 9069, 2404, 1894, 2299, 10683, 1041, 10299, 6334, 1913, 10248, 5013, 236775, 138, 107, 236772, 5213, 18084, 116589, 66515, 138, 107, 138, 236772, 76884, 609, 236770, 236810, 236771, 236764, 236771, 236771, 236771, 528, 7384, 11213, 699, 2263, 4993, 38731, 138, 107, 138, 236772, 56217, 236743, 236828, 236810, 236908, 1948, 15323, 3136, 3418, 236743, 236810, 105117, 138, 108, 1018, 163447, 36376, 91330, 66515, 138, 107, 236770, 236761, 5213, 131022, 9483, 66515, 116834, 41232, 236789, 236751, 24240, 9069, 2404, 1894, 3904, 9292, 607, 18693, 236789, 236751, 7224, 236772, 61827, 6511, 3707, 138, 107, 236778, 236761, 5213, 115047, 140165, 66515, 173574, 61132, 236789, 236751, 25755, 14984, 607, 6551, 97779, 19505, 568, 7720, 522, 42442, 8991, 236768, 138, 107, 236800, 236761, 5213, 221962, 66515, 82974, 687, 55044, 11213, 699, 7933, 17310, 3664, 24027, 568, 25756, 24753, 2028, 236768, 900, 1883, 4993, 33000, 568, 113881, 2028, 236768, 138, 108, 31336, 564, 17395, 3530, 7224, 3739, 6585, 653, 1668, 496, 5498, 1948, 3904, 2721, 580, 1239, 12396, 236881, 106, 107, 105, 2364, 107, 26925, 496, 5498, 1948, 3904, 600, 71926, 41232, 236789, 236751, 24240, 9069, 2404, 1894, 607, 18693, 236789, 236751, 7224, 236772, 61827, 6511, 3707, 236764, 1651, 40825, 61132, 236789, 236751, 25755, 14984, 22882, 573, 13023, 25028, 8991, 568, 236744, 236761, 236759, 1126, 16217, 528, 236772, 8269, 236786, 48446, 97779, 19505, 769, 12213, 496, 6195, 11213, 7545, 26614, 1883, 33000, 532, 7933, 17310, 3664, 24027, 236764, 43149, 1308, 506, 1346, 6595, 4820, 8385, 236761, 1174, 795, 1601, 786, 1861, 496, 12625, 10318, 531, 1023, 8672, 9635, 573, 4068, 13196, 236761, 106, 107, 105, 4368, 107, 1018, 116499, 62746, 12730, 6824, 23718, 236787, 39259, 194698, 156649, 6824, 568, 12941, 236791, 62902, 138, 107, 236829, 97880, 36376, 573, 11493, 7430, 1799, 163244, 236829, 138, 108, 7243, 108, 10354, 5213, 236770, 236761, 6824, 23718, 1018, 138, 107, 1018, 236776, 236761, 62746, 41111, 5554, 12730, 568, 222586, 9483, 62902, 138, 107, 236772, 5213, 97850, 31023, 62746, 152158, 66515, 236743, 236825, 236771, 236772, 20353, 32520, 14845, 5378, 684, 15453, 24240, 177306, 568, 78414, 45435, 779, 19541, 580, 5013, 3997, 236764, 19074, 8991, 236764, 532, 981, 236772, 9524, 7002, 236761, 138, 107, 236772, 5213, 117183, 5554, 18238, 66515, 118836, 607, 2263, 95163, 531, 2847, 2196, 236743, 236770, 236787, 236770, 14845, 573, 45435, 528, 11127, 236761, 138, 107, 236772, 5213, 97446, 51474, 40392, 66515, 57843, 5058, 573, 45435, 531, 4024, 8991, 532, 10744, 580, 14050, 573, 2299, 18701, 236761, 138, 108, 1018, 236799, 236761, 92381, 89856, 833, 22858, 10981, 568, 25756, 24753, 900, 18693, 40121, 62902, 138, 107, 236772, 5213, 212169, 2154, 40343, 112451, 66515, 138, 107, 138, 236772, 236743, 236825, 236772, 14808, 3489, 3003, 14086, 13023, 4993, 1791, 10154, 568, 236744, 236761, 236759, 1126, 5074, 236772, 9619, 19074, 11298, 236764, 3399, 15154, 769, 138, 107, 138, 236772, 11994, 9427, 529, 623, 13265, 528, 506, 8586, 236775, 25521, 699, 26896, 13023, 45435, 236761, 138, 107, 236772, 5213, 131022, 44234, 13628, 17422, 236751, 66515, 138, 107, 138, 236772, 16647, 4402, 529, 236743, 236812, 236964, 236810, 861, 45435, 33481, 607, 496, 37171, 573, 13822, 528, 236772, 8269, 13721, 568, 150328, 11024, 3418, 13023, 73696, 236768, 900, 2702, 65775, 9144, 2426, 236772, 1365, 236761, 138, 107, 138, 236772, 18424, 44234, 13628, 15610, 236787, 562, 3027, 14840, 607, 14896, 532, 5405, 531, 4301, 531, 10883, 4106, 573, 28023, 236761, 138, 108, 1018, 236780, 236761, 39259, 111886, 43291, 847, 1018, 138, 107, 236772, 5213, 129822, 22858, 85043, 66515, 15425, 21090, 607, 877, 29437, 4122, 10103, 532, 16183, 236772, 15081, 23693, 573, 45435, 607, 5809, 8379, 2802, 236761, 138, 107, 236772, 5213, 46640, 32300, 19839, 236751, 66515, 7803, 606, 1237, 25027, 532, 2263, 7958, 618, 25045, 5395, 9952, 607, 14484, 236772, 12383, 2802, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 68542, 34428, 1018, 138, 107, 1018, 236776, 236761, 3245, 118836, 568, 113881, 9483, 62902, 138, 107, 236772, 5213, 159154, 5570, 529, 9426, 70409, 66515, 30839, 573, 506, 609, 236810, 236771, 236764, 236771, 236771, 236771, 39259, 194698, 12730, 20819, 568, 4647, 607, 18693, 236858, 236751, 11213, 7021, 769, 138, 107, 236772, 5213, 46640, 7430, 93582, 66515, 34401, 5405, 3418, 236743, 236828, 236964, 236770, 236771, 13023, 28319, 531, 4024, 5384, 529, 506, 6551, 97779, 4360, 532, 2948, 9427, 236761, 138, 108, 1018, 236799, 236761, 9852, 17310, 3664, 70409, 568, 25756, 24753, 9483, 62902, 138, 107, 236772, 5213, 7396, 3664, 236764, 4040, 562, 47110, 66515, 23170, 609, 236832, 236810, 236764, 236771, 236771, 236771, 24321, 573, 9800, 4122, 532, 67981, 5085, 568, 527, 1456, 684, 61132, 769, 138, 107, 236772, 5213, 136904, 30235, 66515, 4075, 9042, 969, 13023, 236772, 15396, 8991, 568, 236744, 236761, 236759, 1126, 23049, 236764, 6511, 28893, 236768, 531, 8913, 607, 7933, 28304, 236761, 138, 108, 1018, 236780, 236761, 19782, 236786, 45361, 12730, 1018, 138, 107, 236772, 5213, 13149, 9426, 90530, 66515, 82974, 687, 609, 236778, 236810, 236764, 236771, 236771, 236771, 528, 7384, 206342, 699, 9780, 1133, 506, 41232, 9426, 11032, 568, 5140, 580, 910, 11213, 4083, 769, 138, 107, 236772, 5213, 96708, 118836, 66515, 32300, 607, 1511, 236772, 17470, 4699, 568, 236744, 236761, 236759, 1126, 5185, 913, 24852, 236764, 6475, 573, 9426, 236768, 573, 53838, 6436, 532, 14628, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 21942, 116589, 833, 72143, 1018, 138, 107, 236909, 5213, 84276, 1018, 152, 236909, 5213, 10206, 1018, 162, 236909, 5213, 5825, 1018, 162, 236909, 138, 107, 236909, 2819, 40673, 236909, 2819, 2819, 30104, 236909, 2819, 2819, 30104, 236909, 138, 107, 236909, 194698, 119002, 25870, 139, 236909, 57846, 236828, 236810, 236908, 1308, 236743, 236800, 1518, 154, 236909, 18693, 236858, 236751, 236743, 236819, 236771, 236908, 27215, 30998, 138, 236909, 138, 107, 236909, 6824, 116695, 142, 236909, 57846, 236812, 236761, 236810, 236786, 236810, 4398, 14470, 151, 236909, 63919, 27290, 900, 12267, 118575, 236772, 3061, 9697, 1109, 138, 107, 236909, 20819, 111786, 25870, 144, 236909, 236743, 236819, 236771, 236908, 529, 4068, 11213, 23226, 140, 236909, 30452, 17310, 3664, 532, 1883, 7224, 194843, 1109, 138, 107, 236909, 39259, 111886, 143, 236909, 236743, 236770, 236771, 236771, 236908, 529, 11383, 2072, 2802, 138, 236909, 6531, 236772, 17185, 27290, 152, 236909, 138, 108, 7243, 108, 10354, 5213, 236812, 236761, 50698, 89254, 1018, 138, 107, 1018, 156171, 236743, 236770, 236964, 236800, 66515, 57843, 10338, 11213, 699, 8672, 72962, 900, 18336, 24027, 236761, 138, 107, 1018, 156171, 236743, 236812, 236964, 236825, 66515, 6521, 9144, 5058, 236764, 20699, 69806, 236764, 532, 8912, 6551, 4360, 236761, 138, 107, 1018, 156171, 236743, 236832, 236964, 236770, 236778, 66515, 10456, 1948, 101900, 607, 236743, 236800, 105117, 568, 10141, 236764, 6247, 236764, 5312, 769, 138, 108, 7243, 108, 10354, 5213, 236810, 236761, 42860, 17151, 236772, 902, 34428, 1018, 138, 107, 236772, 5213, 118575, 105971, 66515, 16499, 609, 236778, 236771, 236764, 236771, 236771, 236771, 573, 496, 236743, 236825, 236772, 11283, 18336, 28307, 236743, 236778, 236810, 861, 45435, 236761, 138, 107, 236772, 5213, 2100, 236772, 154902, 63754, 66515, 118189, 41232, 236858, 236751, 236743, 236828, 236810, 236908, 15323, 3136, 532, 61132, 236858, 236751, 7933, 11213, 2630, 531, 15128, 66431, 236761, 138, 107, 236772, 5213, 131115, 1837, 212649, 66515, 4075, 9042, 969, 2157, 236772, 58205, 607, 38477, 28319, 532, 38731, 236761, 138, 108, 38786, 611, 1133, 786, 531, 12262, 496, 236743, 236778, 236772, 4000, 12153, 12323, 573, 822, 9635, 653, 59638, 3530, 10458, 568, 236744, 236761, 236759, 1126, 7715, 25890, 236764, 37171, 29859, 2731, 20625, 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, 1944, 2260, 5975, 22658, 607, 1041, 3107, 4690, 236764, 2440, 17015, 236764, 1015, 236789, 236751, 528, 13251, 4085, 236761, 564, 1461, 531, 1076, 506, 5395, 573, 236743, 236832, 8711, 580, 6198, 236743, 236770, 236810, 594, 528, 15475, 8959, 931, 568, 83256, 7578, 779, 834, 1171, 5091, 7352, 600, 990, 531, 13251, 4085, 990, 236761, 4298, 236764, 564, 236789, 236753, 1133, 531, 3927, 573, 6249, 607, 623, 85226, 236775, 528, 506, 3822, 531, 1586, 2613, 692, 740, 3249, 236761, 13472, 236764, 1769, 506, 1903, 2260, 699, 600, 3927, 532, 974, 15136, 573, 3361, 11858, 25769, 19293, 564, 4059, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17368, 236779, 19361, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 2543, 236779, 21448, 1083, 623, 47158, 236786, 4199, 236779, 74093, 827, 623, 1071, 236779, 21448, 1083, 623, 47158, 236786, 85226, 236779, 17698, 827, 623, 107642, 236779, 19361, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 85226, 236787, 562, 10358, 529, 24817, 827, 623, 6386, 1083, 623, 96630, 199587, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 56036, 1083, 623, 100368, 55382, 827, 623, 7777, 1083, 623, 236776, 51182, 22323, 529, 13251, 236789, 236751, 148479, 2479, 699, 135427, 531, 4532, 7097, 6325, 236764, 19541, 580, 2307, 38472, 9732, 532, 910, 4100, 580, 9226, 9834, 221476, 3714, 3250, 1083, 623, 818, 13251, 4085, 104635, 827, 623, 6386, 1083, 623, 4602, 1575, 86059, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 56036, 1083, 623, 100368, 55382, 827, 623, 7777, 1083, 623, 3974, 2342, 506, 25079, 529, 236743, 236770, 236819, 236778, 236771, 236751, 13251, 4085, 236764, 672, 10132, 46235, 506, 6176, 529, 11421, 236764, 186806, 236764, 532, 12822, 11838, 67112, 61269, 161612, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 818, 15895, 108559, 827, 623, 6386, 1083, 623, 212031, 112657, 92073, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236783, 107, 14937, 3250, 1083, 623, 818, 7167, 187331, 827, 623, 6386, 1083, 623, 10666, 605, 85255, 628, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236783, 107, 14937, 3250, 1083, 623, 3243, 506, 10847, 1191, 83351, 5912, 827, 623, 6386, 1083, 623, 79688, 3574, 1193, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236783, 106, 107, 105, 4368, 107, 11069, 2260, 5975, 5395, 528, 15475, 8959, 931, 568, 83256, 7578, 236768, 657, 5213, 236832, 8711, 580, 6198, 236743, 236770, 236810, 594, 1018, 47874, 531, 5213, 236825, 8711, 580, 6198, 236743, 236770, 236810, 594, 528, 13251, 4085, 1018, 568, 47158, 236786, 85226, 236779, 17698, 990, 10202, 769, 108, 7243, 108, 10354, 236743, 244878, 8231, 7167, 7989, 607, 623, 85226, 236775, 528, 17310, 236787, 107, 1018, 236775, 85226, 236787, 562, 10358, 529, 24817, 236775, 1018, 138, 107, 236829, 2292, 24913, 199587, 568, 236778, 236771, 236778, 236778, 12016, 138, 107, 236829, 82272, 236787, 34641, 55382, 236829, 138, 107, 236829, 9770, 149681, 562, 51182, 22323, 529, 13251, 236789, 236751, 2479, 699, 135427, 531, 4532, 7097, 6325, 236764, 19541, 580, 38472, 9732, 532, 9226, 9834, 236761, 108, 7243, 108, 10354, 236743, 245840, 58731, 28257, 34641, 55382, 128809, 236787, 107, 236770, 236761, 5213, 236775, 818, 15895, 108559, 236775, 1018, 684, 77743, 112657, 92073, 568, 12127, 236787, 236743, 236812, 236761, 236810, 236768, 138, 107, 236778, 236761, 5213, 236775, 818, 7167, 187331, 236775, 1018, 684, 101978, 85255, 628, 568, 12127, 236787, 236743, 236812, 236761, 236800, 236768, 138, 107, 236800, 236761, 5213, 236775, 3243, 506, 10847, 1191, 83351, 5912, 236775, 1018, 684, 24759, 3574, 1193, 568, 12127, 236787, 236743, 236812, 236761, 236832, 236768, 138, 108, 9208, 19293, 8913, 607, 822, 2142, 528, 11858, 25769, 532, 735, 3188, 11863, 24074, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 4889, 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 ]
[ 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, 1944, 2260, 5975, 22658, 607, 1041, 3107, 4690, 236764, 2440, 17015, 236764, 1015, 236789, 236751, 528, 13251, 4085, 236761, 564, 1461, 531, 1076, 506, 5395, 573, 236743, 236832, 8711, 580, 6198, 236743, 236770, 236810, 594, 528, 15475, 8959, 931, 568, 83256, 7578, 779, 834, 1171, 5091, 7352, 600, 990, 531, 13251, 4085, 990, 236761, 4298, 236764, 564, 236789, 236753, 1133, 531, 3927, 573, 6249, 607, 623, 85226, 236775, 528, 506, 3822, 531, 1586, 2613, 692, 740, 3249, 236761, 13472, 236764, 1769, 506, 1903, 2260, 699, 600, 3927, 532, 974, 15136, 573, 3361, 11858, 25769, 19293, 564, 4059, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17368, 236779, 19361, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 827, 623, 2543, 236779, 21448, 1083, 623, 47158, 236786, 4199, 236779, 74093, 827, 623, 1071, 236779, 21448, 1083, 623, 47158, 236786, 85226, 236779, 17698, 827, 623, 107642, 236779, 19361, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 85226, 236787, 562, 10358, 529, 24817, 827, 623, 6386, 1083, 623, 96630, 199587, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 56036, 1083, 623, 100368, 55382, 827, 623, 7777, 1083, 623, 236776, 51182, 22323, 529, 13251, 236789, 236751, 148479, 2479, 699, 135427, 531, 4532, 7097, 6325, 236764, 19541, 580, 2307, 38472, 9732, 532, 910, 4100, 580, 9226, 9834, 221476, 3714, 3250, 1083, 623, 818, 13251, 4085, 104635, 827, 623, 6386, 1083, 623, 4602, 1575, 86059, 827, 623, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 56036, 1083, 623, 100368, 55382, 827, 623, 7777, 1083, 623, 3974, 2342, 506, 25079, 529, 236743, 236770, 236819, 236778, 236771, 236751, 13251, 4085, 236764, 672, 10132, 46235, 506, 6176, 529, 11421, 236764, 186806, 236764, 532, 12822, 11838, 67112, 61269, 161612, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3250, 1083, 623, 818, 15895, 108559, 827, 623, 6386, 1083, 623, 212031, 112657, 92073, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236783, 107, 14937, 3250, 1083, 623, 818, 7167, 187331, 827, 623, 6386, 1083, 623, 10666, 605, 85255, 628, 827, 623, 13126, 1083, 236743, 236812, 236761, 236800, 236783, 107, 14937, 3250, 1083, 623, 3243, 506, 10847, 1191, 83351, 5912, 827, 623, 6386, 1083, 623, 79688, 3574, 1193, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236783, 106, 107, 105, 4368, 107, 11069, 2260, 5975, 5395, 528, 15475, 8959, 931, 568, 83256, 7578, 236768, 657, 5213, 236832, 8711, 580, 6198, 236743, 236770, 236810, 594, 1018, 47874, 531, 5213, 236825, 8711, 580, 6198, 236743, 236770, 236810, 594, 528, 13251, 4085, 1018, 568, 47158, 236786, 85226, 236779, 17698, 990, 10202, 769, 108, 7243, 108, 10354, 236743, 244878, 8231, 7167, 7989, 607, 623, 85226, 236775, 528, 17310, 236787, 107, 1018, 236775, 85226, 236787, 562, 10358, 529, 24817, 236775, 1018, 138, 107, 236829, 2292, 24913, 199587, 568, 236778, 236771, 236778, 236778, 12016, 138, 107, 236829, 82272, 236787, 34641, 55382, 236829, 138, 107, 236829, 9770, 149681, 562, 51182, 22323, 529, 13251, 236789, 236751, 2479, 699, 135427, 531, 4532, 7097, 6325, 236764, 19541, 580, 38472, 9732, 532, 9226, 9834, 236761, 108, 7243, 108, 10354, 236743, 245840, 58731, 28257, 34641, 55382, 128809, 236787, 107, 236770, 236761, 5213, 236775, 818, 15895, 108559, 236775, 1018, 684, 77743, 112657, 92073, 568, 12127, 236787, 236743, 236812, 236761, 236810, 236768, 138, 107, 236778, 236761, 5213, 236775, 818, 7167, 187331, 236775, 1018, 684, 101978, 85255, 628, 568, 12127, 236787, 236743, 236812, 236761, 236800, 236768, 138, 107, 236800, 236761, 5213, 236775, 3243, 506, 10847, 1191, 83351, 5912, 236775, 1018, 684, 24759, 3574, 1193, 568, 12127, 236787, 236743, 236812, 236761, 236832, 236768, 138, 108, 9208, 19293, 8913, 607, 822, 2142, 528, 11858, 25769, 532, 735, 3188, 11863, 24074, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 3342, 4889, 236888, 236743, 242507, 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, 13706, 532, 1202, 1601, 8159, 7715, 236772, 18865, 54472, 3541, 12440, 45102, 236761, 3199, 611, 1161, 506, 974, 236779, 236778, 5904, 531, 3927, 573, 17075, 42295, 3835, 2351, 9378, 5149, 529, 506, 2111, 198592, 532, 10995, 24706, 236881, 564, 236789, 236753, 1133, 38332, 1208, 609, 236770, 236810, 236771, 236786, 9467, 607, 8351, 2802, 834, 564, 740, 2056, 3043, 1041, 102016, 236789, 236751, 25021, 15028, 1699, 2263, 13153, 699, 506, 2436, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 54347, 2111, 198592, 5841, 827, 623, 7720, 1083, 623, 66170, 1001, 5054, 56200, 528, 25243, 3173, 236764, 236743, 236778, 236800, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236778, 236771, 236764, 623, 22860, 1236, 1083, 11058, 15370, 33279, 827, 623, 100554, 63368, 827, 623, 100399, 3612, 14255, 623, 56905, 1083, 1847, 236764, 623, 17178, 236779, 1071, 236779, 1475, 198592, 1083, 623, 236828, 236771, 236771, 15930, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 1263, 3714, 1201, 1083, 623, 71653, 25145, 13706, 827, 623, 7720, 1083, 623, 66170, 23156, 3814, 236764, 236743, 236770, 236810, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236819, 236810, 236764, 623, 22860, 1236, 1083, 11058, 15370, 33279, 827, 623, 50384, 30409, 827, 623, 236778, 236812, 236786, 236832, 17259, 60361, 14255, 623, 56905, 1083, 1847, 236764, 623, 17178, 236779, 1071, 236779, 1475, 198592, 1083, 623, 236770, 236761, 236778, 7251, 827, 623, 13126, 1083, 236743, 236800, 236761, 236828, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 2084, 1083, 623, 58657, 827, 623, 51128, 236779, 8572, 1083, 6610, 236771, 23278, 236770, 236810, 236771, 827, 623, 43201, 616, 1083, 236743, 236778, 236764, 623, 10479, 1083, 623, 9707, 236779, 976, 236779, 11480, 827, 623, 20967, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 531, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236778, 827, 623, 18700, 236779, 8960, 1083, 1847, 1807, 106, 107, 105, 4368, 107, 8291, 659, 1156, 7715, 236772, 18865, 54472, 3541, 13706, 236789, 236751, 12440, 45102, 600, 4241, 822, 13138, 236787, 108, 236770, 236761, 5213, 54347, 2111, 198592, 5841, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236771, 236786, 9467, 138, 107, 139, 236772, 5213, 23258, 66515, 236743, 236828, 236771, 236771, 15930, 531, 506, 2111, 198592, 138, 107, 139, 236772, 5213, 200017, 66515, 30409, 3612, 236764, 2196, 33279, 236764, 13932, 5012, 138, 107, 139, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236778, 138, 107, 139, 236772, 5213, 9604, 66515, 46117, 1001, 5054, 56200, 528, 25243, 3173, 236764, 236743, 236778, 236800, 138, 108, 236778, 236761, 5213, 71653, 25145, 13706, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236819, 236810, 236786, 9467, 138, 107, 139, 236772, 5213, 23258, 66515, 236743, 236770, 236761, 236778, 7251, 531, 506, 2111, 198592, 138, 107, 139, 236772, 5213, 200017, 66515, 74967, 8351, 236764, 2196, 33279, 236764, 236743, 236778, 236812, 236786, 236832, 3645, 15348, 138, 107, 139, 236772, 5213, 12127, 66515, 136723, 236800, 236761, 236828, 138, 107, 139, 236772, 5213, 9604, 66515, 46117, 23156, 3814, 236764, 236743, 236770, 236810, 138, 108, 22186, 3835, 659, 2351, 822, 7715, 532, 2729, 8351, 2802, 573, 822, 25021, 236772, 15992, 6614, 236888, 21284, 611, 1133, 531, 59638, 506, 3927, 568, 236744, 236761, 236759, 1126, 6253, 14069, 236764, 5149, 236764, 653, 31087, 236768, 653, 1202, 1601, 22479, 236881, 103453, 106, 107, 105, 2364, 107, 8574, 611, 2426, 15830, 573, 1800, 3835, 1913, 506, 2069, 529, 6198, 236743, 236770, 236812, 594, 236772, 236778, 236771, 594, 532, 992, 1161, 974, 236779, 236778, 531, 3927, 573, 14942, 5756, 9766, 2351, 236743, 236770, 11375, 529, 1239, 54472, 236881, 564, 1461, 531, 5330, 564, 740, 3738, 13153, 573, 1041, 25021, 15028, 1913, 1041, 4196, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 54347, 89543, 754, 827, 623, 7720, 1083, 623, 66170, 113809, 236764, 236743, 236778, 236770, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236778, 236771, 236764, 623, 56905, 1083, 623, 18700, 827, 623, 22860, 1236, 1083, 11058, 15370, 33279, 827, 623, 100554, 63368, 827, 623, 78790, 6022, 14255, 623, 236071, 236779, 1071, 236779, 16350, 1083, 623, 236828, 236771, 236771, 236757, 699, 88508, 569, 236789, 633, 80589, 12726, 23179, 3714, 1201, 1083, 623, 16170, 44085, 7540, 2423, 827, 623, 7720, 1083, 623, 66170, 5955, 149021, 236764, 236743, 236770, 236810, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236819, 236810, 236764, 623, 56905, 1083, 623, 18700, 827, 623, 22860, 1236, 1083, 11058, 15370, 33279, 827, 623, 100554, 63368, 827, 623, 115232, 14255, 623, 236071, 236779, 1071, 236779, 16350, 1083, 623, 236770, 236761, 236778, 11375, 699, 24006, 2156, 1733, 5737, 12859, 25938, 1604, 623, 16350, 236779, 3906, 1083, 3714, 182119, 236779, 58049, 1083, 78493, 1201, 1083, 623, 209337, 569, 236789, 633, 80589, 12726, 827, 623, 17178, 1083, 623, 236828, 236771, 236771, 236757, 827, 623, 17870, 1083, 11058, 40323, 6360, 827, 623, 120563, 827, 623, 106052, 4446, 827, 623, 125681, 152254, 3714, 1201, 1083, 623, 91899, 2156, 1733, 5737, 12859, 827, 623, 17178, 1083, 623, 236770, 236761, 236778, 11375, 827, 623, 17870, 1083, 11058, 6047, 89857, 827, 623, 144749, 12310, 9061, 827, 623, 40323, 32070, 1935, 200808, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 2084, 1083, 623, 58657, 827, 623, 51128, 236779, 1387, 1083, 236743, 236771, 236764, 623, 51128, 236779, 2074, 1083, 236743, 236770, 236810, 236771, 236764, 623, 43201, 616, 1083, 236743, 236778, 236764, 623, 10479, 236779, 2003, 1083, 623, 9707, 236779, 976, 236779, 11480, 827, 623, 4256, 236779, 495, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 827, 623, 4256, 236779, 725, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236771, 827, 623, 3917, 236779, 18700, 236779, 8960, 1083, 1847, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 3714, 552, 122299, 847, 1083, 78493, 1201, 1083, 623, 54347, 89543, 754, 827, 623, 56905, 1083, 1847, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236812, 236810, 236764, 623, 17178, 236779, 1071, 236779, 16350, 1083, 623, 236771, 236761, 236800, 7251, 827, 623, 16350, 236779, 3906, 1083, 3714, 1201, 1083, 623, 209337, 569, 236789, 633, 80589, 12726, 827, 623, 117468, 236779, 24392, 1083, 623, 236771, 236832, 236787, 236771, 236771, 236772, 236770, 236812, 236787, 236771, 236771, 6376, 827, 623, 18146, 3123, 1083, 11058, 40323, 6360, 827, 623, 6047, 104225, 827, 623, 144749, 12310, 25021, 1935, 5237, 3714, 1201, 1083, 623, 97375, 28917, 163035, 827, 623, 56905, 1083, 1847, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236778, 236828, 236764, 623, 17178, 236779, 1071, 236779, 16350, 1083, 623, 236771, 236761, 236828, 7251, 827, 623, 16350, 236779, 3906, 1083, 3714, 1201, 1083, 623, 91899, 2156, 1733, 5737, 12859, 827, 623, 117468, 236779, 24392, 1083, 623, 236771, 236828, 236787, 236771, 236771, 236772, 236770, 236810, 236787, 236771, 236771, 6376, 827, 623, 18146, 3123, 1083, 11058, 34791, 16062, 827, 623, 40323, 14318, 827, 623, 123865, 94814, 1935, 1807, 1604, 623, 33686, 236779, 23184, 1083, 623, 22186, 54472, 9128, 15830, 573, 506, 9155, 14069, 236761, 98733, 9766, 2729, 5756, 13153, 9273, 573, 25021, 12652, 236764, 607, 11519, 3885, 10325, 573, 12567, 6799, 1781, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 12496, 573, 822, 13706, 7946, 6995, 236787, 108, 1018, 236770, 236761, 119511, 75669, 568, 20123, 236743, 236770, 236812, 236772, 236778, 236771, 1473, 1018, 138, 107, 236772, 5213, 54347, 89543, 754, 1018, 568, 66170, 113809, 236764, 236743, 236778, 236770, 236768, 138, 107, 138, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236771, 236786, 9467, 138, 107, 138, 236772, 5213, 40219, 13863, 66515, 236743, 236828, 236771, 236771, 236757, 699, 5213, 209337, 569, 236789, 633, 80589, 12726, 1018, 568, 40323, 6360, 236764, 13840, 236764, 26012, 4446, 236764, 25021, 236768, 138, 107, 138, 236772, 5213, 6717, 66515, 113452, 18326, 138, 108, 236772, 5213, 16170, 44085, 7540, 2423, 1018, 568, 66170, 5955, 149021, 236764, 236743, 236770, 236810, 236768, 138, 107, 138, 236772, 5213, 11280, 66515, 609, 236819, 236810, 236786, 9467, 138, 107, 138, 236772, 5213, 40219, 13863, 66515, 236743, 236770, 236761, 236778, 11375, 699, 5213, 91899, 2156, 1733, 5737, 12859, 1018, 568, 144749, 12310, 9061, 236764, 32070, 236764, 2263, 89857, 236768, 138, 107, 138, 236772, 5213, 6717, 66515, 113452, 18326, 138, 108, 1018, 236778, 236761, 98733, 51810, 573, 114712, 80225, 53121, 138, 107, 236772, 5213, 209337, 569, 236789, 633, 80589, 12726, 1018, 568, 236771, 236761, 236800, 7251, 699, 12825, 89543, 754, 236768, 138, 107, 138, 236772, 5213, 35835, 66515, 236743, 236832, 236787, 236771, 236771, 8151, 1271, 236743, 236778, 236787, 236771, 236771, 8711, 6376, 138, 107, 138, 236772, 5213, 181389, 107330, 66515, 28776, 29979, 236764, 46590, 236764, 97097, 236764, 532, 808, 31766, 605, 2156, 236829, 25021, 138, 107, 138, 236772, 5213, 40855, 66515, 26922, 3649, 573, 506, 1791, 6799, 529, 28594, 13153, 236761, 138, 108, 236772, 5213, 91899, 2156, 1733, 5737, 12859, 1018, 568, 236771, 236761, 236828, 7251, 699, 13706, 28917, 163035, 236768, 138, 107, 138, 236772, 5213, 35835, 66515, 236743, 236828, 236787, 236771, 236771, 8151, 1271, 236743, 236800, 236787, 236771, 236771, 8711, 6376, 138, 107, 138, 236772, 5213, 181389, 107330, 66515, 37330, 14318, 236764, 105751, 1022, 4685, 2423, 236764, 532, 1526, 236772, 24388, 198464, 714, 4008, 138, 107, 138, 236772, 5213, 40855, 66515, 15325, 506, 808, 22102, 236752, 237241, 236829, 568, 47554, 12878, 20160, 236768, 573, 496, 3823, 34038, 1651, 10294, 236761, 138, 108, 22186, 54472, 659, 2487, 573, 822, 14069, 236764, 532, 506, 9766, 2729, 4326, 611, 1202, 573, 822, 25021, 15028, 236888, 21284, 611, 1133, 1601, 22479, 653, 4767, 4889, 1003, 3477, 2436, 236881, 236743, 247677, 244178, 244098, 106, 107, 105, 2364, 107, 14782, 611, 573, 49378, 15830, 532, 506, 2436, 4889, 236888, 564, 236858, 236753, 1133, 531, 2260, 5213, 54347, 89543, 754, 1018, 2338, 625, 236858, 236751, 12532, 531, 88508, 569, 236858, 633, 80589, 12726, 236761, 28344, 611, 1161, 974, 236779, 236778, 1570, 531, 16807, 768, 993, 659, 1027, 4767, 9766, 653, 32095, 11936, 2351, 236743, 236770, 11375, 529, 506, 8217, 600, 2473, 735, 37358, 13153, 1133, 105751, 4446, 653, 5756, 46590, 236881, 564, 1461, 531, 5330, 564, 735, 784, 506, 3835, 573, 1041, 25021, 15028, 236761, 6542, 236764, 1451, 611, 4024, 506, 1982, 22479, 3205, 653, 6555, 531, 18151, 506, 8217, 236881, 103453, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 209337, 569, 236789, 633, 80589, 12726, 827, 623, 2084, 1083, 623, 16350, 827, 623, 17178, 236779, 11375, 1083, 236743, 236771, 236761, 236800, 236764, 623, 18146, 1363, 236779, 7633, 1083, 11058, 236745, 70819, 519, 4446, 827, 623, 40323, 46590, 827, 623, 144749, 12310, 25021, 14255, 623, 7720, 1083, 623, 236791, 57671, 88508, 569, 236789, 633, 80589, 236764, 13706, 827, 623, 5265, 236779, 24392, 1083, 623, 236771, 236832, 236787, 236771, 236771, 236772, 236770, 236812, 236787, 236771, 236771, 6376, 23179, 3714, 1201, 1083, 623, 91899, 2156, 1733, 5737, 12859, 827, 623, 2084, 1083, 623, 16350, 827, 623, 17178, 236779, 11375, 1083, 236743, 236771, 236761, 236828, 236764, 623, 18146, 1363, 236779, 7633, 1083, 11058, 6047, 104225, 827, 623, 40323, 32070, 827, 623, 34791, 6360, 14255, 623, 7720, 1083, 623, 66170, 30084, 638, 15742, 2795, 582, 33906, 236764, 13706, 827, 623, 5265, 236779, 24392, 1083, 623, 236771, 236832, 236787, 236800, 236771, 236772, 236770, 236810, 236787, 236771, 236771, 6376, 23179, 3714, 1201, 1083, 623, 105787, 105822, 161024, 13516, 827, 623, 2084, 1083, 623, 170045, 827, 623, 17178, 236779, 11375, 1083, 236743, 236771, 236761, 236810, 236764, 623, 18146, 1363, 236779, 7633, 1083, 11058, 236759, 700, 2576, 24911, 827, 623, 89754, 719, 104388, 827, 623, 40323, 46590, 6485, 14255, 623, 7720, 1083, 623, 66170, 1162, 182904, 236764, 236743, 236800, 236770, 236812, 236764, 13706, 827, 623, 5265, 236779, 24392, 1083, 623, 236771, 236828, 236787, 236771, 236771, 236772, 236778, 236771, 236787, 236771, 236771, 6376, 25938, 1604, 623, 58657, 236779, 61823, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 58657, 661, 581, 754, 236761, 854, 236786, 61823, 236881, 29891, 236784, 12293, 236779, 2883, 827, 623, 14210, 1083, 623, 54347, 22479, 3205, 3847, 2721, 580, 4487, 26093, 236761, 51810, 236786, 43850, 63018, 2351, 236743, 236770, 11375, 12425, 27662, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4767, 1938, 573, 822, 4196, 657, 5213, 54347, 89543, 754, 66515, 108, 1018, 23244, 1363, 143951, 49174, 568, 49426, 236743, 236770, 11375, 1473, 1018, 138, 107, 236770, 236761, 5213, 209337, 569, 236789, 633, 80589, 12726, 1018, 568, 236771, 236761, 236800, 7251, 236768, 138, 107, 139, 236772, 5213, 23244, 3123, 66515, 31883, 164164, 4446, 236764, 5756, 46590, 236764, 141474, 25021, 138, 107, 139, 236772, 5213, 35835, 66515, 236743, 236832, 236787, 236771, 236771, 8151, 1271, 236743, 236778, 236787, 236771, 236771, 8711, 6376, 138, 108, 236778, 236761, 5213, 105787, 105822, 161024, 13516, 1018, 568, 236771, 236761, 236810, 7251, 236768, 138, 107, 139, 236772, 5213, 23244, 3123, 66515, 128118, 24911, 236764, 19555, 719, 104388, 236764, 5756, 46590, 6485, 138, 107, 139, 236772, 5213, 35835, 66515, 236743, 236828, 236787, 236771, 236771, 8151, 1271, 236743, 236828, 236787, 236771, 236771, 8711, 6376, 138, 108, 236800, 236761, 5213, 91899, 2156, 1733, 5737, 12859, 1018, 568, 236771, 236761, 236828, 7251, 236768, 138, 107, 139, 236772, 5213, 23244, 3123, 66515, 12263, 104225, 236764, 10293, 32070, 236764, 29503, 94814, 138, 107, 139, 236772, 5213, 35835, 66515, 236743, 236832, 236787, 236800, 236771, 8151, 1271, 236743, 236800, 236787, 236771, 236771, 8711, 6376, 138, 108, 1018, 70329, 125145, 66515, 138, 107, 240732, 5180, 33391, 657, 12825, 89543, 754, 563, 10778, 573, 5213, 36817, 236743, 236770, 236812, 236964, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 84750, 138, 107, 245958, 870, 5147, 1590, 531, 4133, 822, 22479, 5457, 2574, 1411, 2769, 236761, 58657, 661, 581, 754, 236761, 854, 236786, 61823, 236881, 29891, 236784, 12293, 236779, 2883, 236768, 568, 1904, 7548, 3149, 82425, 769, 138, 108, 3048, 236858, 859, 735, 33503, 3835, 573, 105751, 4446, 236764, 46590, 236764, 532, 1032, 13153, 573, 822, 25021, 236888, 21284, 611, 1133, 11221, 573, 67112, 506, 9766, 653, 1601, 607, 4658, 1663, 573, 822, 7946, 236881, 103453, 247677, 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 ]
[ 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, 13706, 532, 1202, 1601, 8159, 7715, 236772, 18865, 54472, 3541, 12440, 45102, 236761, 3199, 611, 1161, 506, 974, 236779, 236778, 5904, 531, 3927, 573, 17075, 42295, 3835, 2351, 9378, 5149, 529, 506, 2111, 198592, 532, 10995, 24706, 236881, 564, 236789, 236753, 1133, 38332, 1208, 609, 236770, 236810, 236771, 236786, 9467, 607, 8351, 2802, 834, 564, 740, 2056, 3043, 1041, 102016, 236789, 236751, 25021, 15028, 1699, 2263, 13153, 699, 506, 2436, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 54347, 2111, 198592, 5841, 827, 623, 7720, 1083, 623, 66170, 1001, 5054, 56200, 528, 25243, 3173, 236764, 236743, 236778, 236800, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236778, 236771, 236764, 623, 22860, 1236, 1083, 11058, 15370, 33279, 827, 623, 100554, 63368, 827, 623, 100399, 3612, 14255, 623, 56905, 1083, 1847, 236764, 623, 17178, 236779, 1071, 236779, 1475, 198592, 1083, 623, 236828, 236771, 236771, 15930, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 1263, 3714, 1201, 1083, 623, 71653, 25145, 13706, 827, 623, 7720, 1083, 623, 66170, 23156, 3814, 236764, 236743, 236770, 236810, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236819, 236810, 236764, 623, 22860, 1236, 1083, 11058, 15370, 33279, 827, 623, 50384, 30409, 827, 623, 236778, 236812, 236786, 236832, 17259, 60361, 14255, 623, 56905, 1083, 1847, 236764, 623, 17178, 236779, 1071, 236779, 1475, 198592, 1083, 623, 236770, 236761, 236778, 7251, 827, 623, 13126, 1083, 236743, 236800, 236761, 236828, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 2084, 1083, 623, 58657, 827, 623, 51128, 236779, 8572, 1083, 6610, 236771, 23278, 236770, 236810, 236771, 827, 623, 43201, 616, 1083, 236743, 236778, 236764, 623, 10479, 1083, 623, 9707, 236779, 976, 236779, 11480, 827, 623, 20967, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 531, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236778, 827, 623, 18700, 236779, 8960, 1083, 1847, 1807, 106, 107, 105, 4368, 107, 8291, 659, 1156, 7715, 236772, 18865, 54472, 3541, 13706, 236789, 236751, 12440, 45102, 600, 4241, 822, 13138, 236787, 108, 236770, 236761, 5213, 54347, 2111, 198592, 5841, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236771, 236786, 9467, 138, 107, 139, 236772, 5213, 23258, 66515, 236743, 236828, 236771, 236771, 15930, 531, 506, 2111, 198592, 138, 107, 139, 236772, 5213, 200017, 66515, 30409, 3612, 236764, 2196, 33279, 236764, 13932, 5012, 138, 107, 139, 236772, 5213, 12127, 66515, 136723, 236812, 236761, 236778, 138, 107, 139, 236772, 5213, 9604, 66515, 46117, 1001, 5054, 56200, 528, 25243, 3173, 236764, 236743, 236778, 236800, 138, 108, 236778, 236761, 5213, 71653, 25145, 13706, 1018, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236819, 236810, 236786, 9467, 138, 107, 139, 236772, 5213, 23258, 66515, 236743, 236770, 236761, 236778, 7251, 531, 506, 2111, 198592, 138, 107, 139, 236772, 5213, 200017, 66515, 74967, 8351, 236764, 2196, 33279, 236764, 236743, 236778, 236812, 236786, 236832, 3645, 15348, 138, 107, 139, 236772, 5213, 12127, 66515, 136723, 236800, 236761, 236828, 138, 107, 139, 236772, 5213, 9604, 66515, 46117, 23156, 3814, 236764, 236743, 236770, 236810, 138, 108, 22186, 3835, 659, 2351, 822, 7715, 532, 2729, 8351, 2802, 573, 822, 25021, 236772, 15992, 6614, 236888, 21284, 611, 1133, 531, 59638, 506, 3927, 568, 236744, 236761, 236759, 1126, 6253, 14069, 236764, 5149, 236764, 653, 31087, 236768, 653, 1202, 1601, 22479, 236881, 103453, 106, 107, 105, 2364, 107, 8574, 611, 2426, 15830, 573, 1800, 3835, 1913, 506, 2069, 529, 6198, 236743, 236770, 236812, 594, 236772, 236778, 236771, 594, 532, 992, 1161, 974, 236779, 236778, 531, 3927, 573, 14942, 5756, 9766, 2351, 236743, 236770, 11375, 529, 1239, 54472, 236881, 564, 1461, 531, 5330, 564, 740, 3738, 13153, 573, 1041, 25021, 15028, 1913, 1041, 4196, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 54347, 89543, 754, 827, 623, 7720, 1083, 623, 66170, 113809, 236764, 236743, 236778, 236770, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236770, 236778, 236771, 236764, 623, 56905, 1083, 623, 18700, 827, 623, 22860, 1236, 1083, 11058, 15370, 33279, 827, 623, 100554, 63368, 827, 623, 78790, 6022, 14255, 623, 236071, 236779, 1071, 236779, 16350, 1083, 623, 236828, 236771, 236771, 236757, 699, 88508, 569, 236789, 633, 80589, 12726, 23179, 3714, 1201, 1083, 623, 16170, 44085, 7540, 2423, 827, 623, 7720, 1083, 623, 66170, 5955, 149021, 236764, 236743, 236770, 236810, 827, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236819, 236810, 236764, 623, 56905, 1083, 623, 18700, 827, 623, 22860, 1236, 1083, 11058, 15370, 33279, 827, 623, 100554, 63368, 827, 623, 115232, 14255, 623, 236071, 236779, 1071, 236779, 16350, 1083, 623, 236770, 236761, 236778, 11375, 699, 24006, 2156, 1733, 5737, 12859, 25938, 1604, 623, 16350, 236779, 3906, 1083, 3714, 182119, 236779, 58049, 1083, 78493, 1201, 1083, 623, 209337, 569, 236789, 633, 80589, 12726, 827, 623, 17178, 1083, 623, 236828, 236771, 236771, 236757, 827, 623, 17870, 1083, 11058, 40323, 6360, 827, 623, 120563, 827, 623, 106052, 4446, 827, 623, 125681, 152254, 3714, 1201, 1083, 623, 91899, 2156, 1733, 5737, 12859, 827, 623, 17178, 1083, 623, 236770, 236761, 236778, 11375, 827, 623, 17870, 1083, 11058, 6047, 89857, 827, 623, 144749, 12310, 9061, 827, 623, 40323, 32070, 1935, 200808, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 2084, 1083, 623, 58657, 827, 623, 51128, 236779, 1387, 1083, 236743, 236771, 236764, 623, 51128, 236779, 2074, 1083, 236743, 236770, 236810, 236771, 236764, 623, 43201, 616, 1083, 236743, 236778, 236764, 623, 10479, 236779, 2003, 1083, 623, 9707, 236779, 976, 236779, 11480, 827, 623, 4256, 236779, 495, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236812, 827, 623, 4256, 236779, 725, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236778, 236771, 827, 623, 3917, 236779, 18700, 236779, 8960, 1083, 1847, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 3714, 552, 122299, 847, 1083, 78493, 1201, 1083, 623, 54347, 89543, 754, 827, 623, 56905, 1083, 1847, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236812, 236810, 236764, 623, 17178, 236779, 1071, 236779, 16350, 1083, 623, 236771, 236761, 236800, 7251, 827, 623, 16350, 236779, 3906, 1083, 3714, 1201, 1083, 623, 209337, 569, 236789, 633, 80589, 12726, 827, 623, 117468, 236779, 24392, 1083, 623, 236771, 236832, 236787, 236771, 236771, 236772, 236770, 236812, 236787, 236771, 236771, 6376, 827, 623, 18146, 3123, 1083, 11058, 40323, 6360, 827, 623, 6047, 104225, 827, 623, 144749, 12310, 25021, 1935, 5237, 3714, 1201, 1083, 623, 97375, 28917, 163035, 827, 623, 56905, 1083, 1847, 236764, 623, 9707, 236779, 721, 236779, 9467, 1083, 236743, 236778, 236828, 236764, 623, 17178, 236779, 1071, 236779, 16350, 1083, 623, 236771, 236761, 236828, 7251, 827, 623, 16350, 236779, 3906, 1083, 3714, 1201, 1083, 623, 91899, 2156, 1733, 5737, 12859, 827, 623, 117468, 236779, 24392, 1083, 623, 236771, 236828, 236787, 236771, 236771, 236772, 236770, 236810, 236787, 236771, 236771, 6376, 827, 623, 18146, 3123, 1083, 11058, 34791, 16062, 827, 623, 40323, 14318, 827, 623, 123865, 94814, 1935, 1807, 1604, 623, 33686, 236779, 23184, 1083, 623, 22186, 54472, 9128, 15830, 573, 506, 9155, 14069, 236761, 98733, 9766, 2729, 5756, 13153, 9273, 573, 25021, 12652, 236764, 607, 11519, 3885, 10325, 573, 12567, 6799, 1781, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 12496, 573, 822, 13706, 7946, 6995, 236787, 108, 1018, 236770, 236761, 119511, 75669, 568, 20123, 236743, 236770, 236812, 236772, 236778, 236771, 1473, 1018, 138, 107, 236772, 5213, 54347, 89543, 754, 1018, 568, 66170, 113809, 236764, 236743, 236778, 236770, 236768, 138, 107, 138, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236771, 236786, 9467, 138, 107, 138, 236772, 5213, 40219, 13863, 66515, 236743, 236828, 236771, 236771, 236757, 699, 5213, 209337, 569, 236789, 633, 80589, 12726, 1018, 568, 40323, 6360, 236764, 13840, 236764, 26012, 4446, 236764, 25021, 236768, 138, 107, 138, 236772, 5213, 6717, 66515, 113452, 18326, 138, 108, 236772, 5213, 16170, 44085, 7540, 2423, 1018, 568, 66170, 5955, 149021, 236764, 236743, 236770, 236810, 236768, 138, 107, 138, 236772, 5213, 11280, 66515, 609, 236819, 236810, 236786, 9467, 138, 107, 138, 236772, 5213, 40219, 13863, 66515, 236743, 236770, 236761, 236778, 11375, 699, 5213, 91899, 2156, 1733, 5737, 12859, 1018, 568, 144749, 12310, 9061, 236764, 32070, 236764, 2263, 89857, 236768, 138, 107, 138, 236772, 5213, 6717, 66515, 113452, 18326, 138, 108, 1018, 236778, 236761, 98733, 51810, 573, 114712, 80225, 53121, 138, 107, 236772, 5213, 209337, 569, 236789, 633, 80589, 12726, 1018, 568, 236771, 236761, 236800, 7251, 699, 12825, 89543, 754, 236768, 138, 107, 138, 236772, 5213, 35835, 66515, 236743, 236832, 236787, 236771, 236771, 8151, 1271, 236743, 236778, 236787, 236771, 236771, 8711, 6376, 138, 107, 138, 236772, 5213, 181389, 107330, 66515, 28776, 29979, 236764, 46590, 236764, 97097, 236764, 532, 808, 31766, 605, 2156, 236829, 25021, 138, 107, 138, 236772, 5213, 40855, 66515, 26922, 3649, 573, 506, 1791, 6799, 529, 28594, 13153, 236761, 138, 108, 236772, 5213, 91899, 2156, 1733, 5737, 12859, 1018, 568, 236771, 236761, 236828, 7251, 699, 13706, 28917, 163035, 236768, 138, 107, 138, 236772, 5213, 35835, 66515, 236743, 236828, 236787, 236771, 236771, 8151, 1271, 236743, 236800, 236787, 236771, 236771, 8711, 6376, 138, 107, 138, 236772, 5213, 181389, 107330, 66515, 37330, 14318, 236764, 105751, 1022, 4685, 2423, 236764, 532, 1526, 236772, 24388, 198464, 714, 4008, 138, 107, 138, 236772, 5213, 40855, 66515, 15325, 506, 808, 22102, 236752, 237241, 236829, 568, 47554, 12878, 20160, 236768, 573, 496, 3823, 34038, 1651, 10294, 236761, 138, 108, 22186, 54472, 659, 2487, 573, 822, 14069, 236764, 532, 506, 9766, 2729, 4326, 611, 1202, 573, 822, 25021, 15028, 236888, 21284, 611, 1133, 1601, 22479, 653, 4767, 4889, 1003, 3477, 2436, 236881, 236743, 247677, 244178, 244098, 106, 107, 105, 2364, 107, 14782, 611, 573, 49378, 15830, 532, 506, 2436, 4889, 236888, 564, 236858, 236753, 1133, 531, 2260, 5213, 54347, 89543, 754, 1018, 2338, 625, 236858, 236751, 12532, 531, 88508, 569, 236858, 633, 80589, 12726, 236761, 28344, 611, 1161, 974, 236779, 236778, 1570, 531, 16807, 768, 993, 659, 1027, 4767, 9766, 653, 32095, 11936, 2351, 236743, 236770, 11375, 529, 506, 8217, 600, 2473, 735, 37358, 13153, 1133, 105751, 4446, 653, 5756, 46590, 236881, 564, 1461, 531, 5330, 564, 735, 784, 506, 3835, 573, 1041, 25021, 15028, 236761, 6542, 236764, 1451, 611, 4024, 506, 1982, 22479, 3205, 653, 6555, 531, 18151, 506, 8217, 236881, 103453, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 1201, 1083, 623, 209337, 569, 236789, 633, 80589, 12726, 827, 623, 2084, 1083, 623, 16350, 827, 623, 17178, 236779, 11375, 1083, 236743, 236771, 236761, 236800, 236764, 623, 18146, 1363, 236779, 7633, 1083, 11058, 236745, 70819, 519, 4446, 827, 623, 40323, 46590, 827, 623, 144749, 12310, 25021, 14255, 623, 7720, 1083, 623, 236791, 57671, 88508, 569, 236789, 633, 80589, 236764, 13706, 827, 623, 5265, 236779, 24392, 1083, 623, 236771, 236832, 236787, 236771, 236771, 236772, 236770, 236812, 236787, 236771, 236771, 6376, 23179, 3714, 1201, 1083, 623, 91899, 2156, 1733, 5737, 12859, 827, 623, 2084, 1083, 623, 16350, 827, 623, 17178, 236779, 11375, 1083, 236743, 236771, 236761, 236828, 236764, 623, 18146, 1363, 236779, 7633, 1083, 11058, 6047, 104225, 827, 623, 40323, 32070, 827, 623, 34791, 6360, 14255, 623, 7720, 1083, 623, 66170, 30084, 638, 15742, 2795, 582, 33906, 236764, 13706, 827, 623, 5265, 236779, 24392, 1083, 623, 236771, 236832, 236787, 236800, 236771, 236772, 236770, 236810, 236787, 236771, 236771, 6376, 23179, 3714, 1201, 1083, 623, 105787, 105822, 161024, 13516, 827, 623, 2084, 1083, 623, 170045, 827, 623, 17178, 236779, 11375, 1083, 236743, 236771, 236761, 236810, 236764, 623, 18146, 1363, 236779, 7633, 1083, 11058, 236759, 700, 2576, 24911, 827, 623, 89754, 719, 104388, 827, 623, 40323, 46590, 6485, 14255, 623, 7720, 1083, 623, 66170, 1162, 182904, 236764, 236743, 236800, 236770, 236812, 236764, 13706, 827, 623, 5265, 236779, 24392, 1083, 623, 236771, 236828, 236787, 236771, 236771, 236772, 236778, 236771, 236787, 236771, 236771, 6376, 25938, 1604, 623, 58657, 236779, 61823, 236779, 2883, 1083, 623, 2574, 1411, 2769, 236761, 58657, 661, 581, 754, 236761, 854, 236786, 61823, 236881, 29891, 236784, 12293, 236779, 2883, 827, 623, 14210, 1083, 623, 54347, 22479, 3205, 3847, 2721, 580, 4487, 26093, 236761, 51810, 236786, 43850, 63018, 2351, 236743, 236770, 11375, 12425, 27662, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 4767, 1938, 573, 822, 4196, 657, 5213, 54347, 89543, 754, 66515, 108, 1018, 23244, 1363, 143951, 49174, 568, 49426, 236743, 236770, 11375, 1473, 1018, 138, 107, 236770, 236761, 5213, 209337, 569, 236789, 633, 80589, 12726, 1018, 568, 236771, 236761, 236800, 7251, 236768, 138, 107, 139, 236772, 5213, 23244, 3123, 66515, 31883, 164164, 4446, 236764, 5756, 46590, 236764, 141474, 25021, 138, 107, 139, 236772, 5213, 35835, 66515, 236743, 236832, 236787, 236771, 236771, 8151, 1271, 236743, 236778, 236787, 236771, 236771, 8711, 6376, 138, 108, 236778, 236761, 5213, 105787, 105822, 161024, 13516, 1018, 568, 236771, 236761, 236810, 7251, 236768, 138, 107, 139, 236772, 5213, 23244, 3123, 66515, 128118, 24911, 236764, 19555, 719, 104388, 236764, 5756, 46590, 6485, 138, 107, 139, 236772, 5213, 35835, 66515, 236743, 236828, 236787, 236771, 236771, 8151, 1271, 236743, 236828, 236787, 236771, 236771, 8711, 6376, 138, 108, 236800, 236761, 5213, 91899, 2156, 1733, 5737, 12859, 1018, 568, 236771, 236761, 236828, 7251, 236768, 138, 107, 139, 236772, 5213, 23244, 3123, 66515, 12263, 104225, 236764, 10293, 32070, 236764, 29503, 94814, 138, 107, 139, 236772, 5213, 35835, 66515, 236743, 236832, 236787, 236800, 236771, 8151, 1271, 236743, 236800, 236787, 236771, 236771, 8711, 6376, 138, 108, 1018, 70329, 125145, 66515, 138, 107, 240732, 5180, 33391, 657, 12825, 89543, 754, 563, 10778, 573, 5213, 36817, 236743, 236770, 236812, 236964, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236800, 84750, 138, 107, 245958, 870, 5147, 1590, 531, 4133, 822, 22479, 5457, 2574, 1411, 2769, 236761, 58657, 661, 581, 754, 236761, 854, 236786, 61823, 236881, 29891, 236784, 12293, 236779, 2883, 236768, 568, 1904, 7548, 3149, 82425, 769, 138, 108, 3048, 236858, 859, 735, 33503, 3835, 573, 105751, 4446, 236764, 46590, 236764, 532, 1032, 13153, 573, 822, 25021, 236888, 21284, 611, 1133, 11221, 573, 67112, 506, 9766, 653, 1601, 607, 4658, 1663, 573, 822, 7946, 236881, 103453, 247677, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1164, 12073, 1041, 188086, 1960, 236764, 140169, 236789, 236751, 128758, 152403, 236764, 532, 564, 1202, 1601, 20329, 625, 236761, 564, 4464, 1806, 1607, 9851, 236787, 886, 573, 1041, 4456, 568, 2574, 1411, 2769, 236761, 23891, 213823, 35577, 236761, 854, 236786, 15897, 779, 886, 573, 1041, 10365, 3104, 568, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 23891, 213823, 35577, 779, 532, 886, 573, 496, 5177, 61381, 568, 2574, 1411, 2769, 236761, 23891, 213823, 35577, 236761, 854, 236786, 15275, 497, 236761, 10888, 769, 564, 1461, 531, 4024, 1239, 580, 2777, 4009, 532, 1887, 106643, 236764, 840, 506, 60973, 659, 2311, 1440, 236761, 3199, 611, 85329, 784, 1806, 9851, 657, 3622, 834, 901, 236858, 500, 8722, 531, 4024, 236881, 564, 236858, 236753, 1133, 1091, 26777, 8207, 573, 1546, 5058, 237028, 60766, 756, 31935, 963, 756, 29872, 963, 532, 756, 15275, 497, 236789, 528, 506, 73625, 14273, 236761, 11017, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15721, 4027, 236779, 2451, 1083, 623, 2574, 1411, 15721, 236761, 2451, 236786, 28180, 236770, 236778, 236800, 827, 623, 17368, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 23891, 213823, 35577, 236761, 854, 236786, 15897, 827, 623, 4818, 1083, 623, 10934, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 15721, 4027, 236779, 2451, 1083, 623, 2574, 1411, 15721, 236761, 2451, 236786, 149516, 236779, 236819, 236804, 236800, 236751, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 15721, 4027, 236779, 2451, 1083, 623, 2574, 1411, 3896, 236761, 586, 236786, 601, 9784, 236772, 15275, 497, 827, 623, 17368, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 23891, 213823, 35577, 236761, 854, 236786, 15275, 497, 236761, 10888, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 659, 822, 73625, 9851, 607, 3582, 50178, 573, 3735, 11211, 236787, 108, 236770, 236761, 5213, 42475, 66515, 870, 2574, 1411, 15721, 236761, 2451, 236786, 28180, 236770, 236778, 236800, 5457, 2574, 1411, 15721, 236761, 2451, 236786, 28180, 236770, 236778, 236800, 236768, 138, 107, 236778, 236761, 5213, 42809, 66515, 870, 2574, 1411, 15721, 236761, 2451, 236786, 149516, 236779, 236819, 236804, 236800, 236751, 5457, 2574, 1411, 15721, 236761, 2451, 236786, 149516, 236779, 236819, 236804, 236800, 236751, 236768, 138, 107, 236800, 236761, 5213, 63157, 497, 66515, 870, 2574, 1411, 3896, 236761, 586, 236786, 601, 9784, 236772, 15275, 497, 5457, 2574, 1411, 3896, 236761, 586, 236786, 601, 9784, 236772, 15275, 497, 236768, 138, 108, 9208, 54361, 60973, 795, 981, 13275, 573, 2777, 4009, 12714, 236764, 1887, 106643, 236764, 653, 34454, 11211, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 44426, 17253, 653, 16074, 26545, 3742, 573, 1027, 9851, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 1164, 12073, 1041, 188086, 1960, 236764, 140169, 236789, 236751, 128758, 152403, 236764, 532, 564, 1202, 1601, 20329, 625, 236761, 564, 4464, 1806, 1607, 9851, 236787, 886, 573, 1041, 4456, 568, 2574, 1411, 2769, 236761, 23891, 213823, 35577, 236761, 854, 236786, 15897, 779, 886, 573, 1041, 10365, 3104, 568, 2574, 1411, 2769, 236761, 29872, 236761, 854, 236786, 23891, 213823, 35577, 779, 532, 886, 573, 496, 5177, 61381, 568, 2574, 1411, 2769, 236761, 23891, 213823, 35577, 236761, 854, 236786, 15275, 497, 236761, 10888, 769, 564, 1461, 531, 4024, 1239, 580, 2777, 4009, 532, 1887, 106643, 236764, 840, 506, 60973, 659, 2311, 1440, 236761, 3199, 611, 85329, 784, 1806, 9851, 657, 3622, 834, 901, 236858, 500, 8722, 531, 4024, 236881, 564, 236858, 236753, 1133, 1091, 26777, 8207, 573, 1546, 5058, 237028, 60766, 756, 31935, 963, 756, 29872, 963, 532, 756, 15275, 497, 236789, 528, 506, 73625, 14273, 236761, 11017, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15721, 4027, 236779, 2451, 1083, 623, 2574, 1411, 15721, 236761, 2451, 236786, 28180, 236770, 236778, 236800, 827, 623, 17368, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 23891, 213823, 35577, 236761, 854, 236786, 15897, 827, 623, 4818, 1083, 623, 10934, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 15721, 4027, 236779, 2451, 1083, 623, 2574, 1411, 15721, 236761, 2451, 236786, 149516, 236779, 236819, 236804, 236800, 236751, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 15721, 4027, 236779, 2451, 1083, 623, 2574, 1411, 3896, 236761, 586, 236786, 601, 9784, 236772, 15275, 497, 827, 623, 17368, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 23891, 213823, 35577, 236761, 854, 236786, 15275, 497, 236761, 10888, 827, 623, 4818, 1083, 623, 10934, 25938, 106, 107, 105, 4368, 107, 8291, 659, 822, 73625, 9851, 607, 3582, 50178, 573, 3735, 11211, 236787, 108, 236770, 236761, 5213, 42475, 66515, 870, 2574, 1411, 15721, 236761, 2451, 236786, 28180, 236770, 236778, 236800, 5457, 2574, 1411, 15721, 236761, 2451, 236786, 28180, 236770, 236778, 236800, 236768, 138, 107, 236778, 236761, 5213, 42809, 66515, 870, 2574, 1411, 15721, 236761, 2451, 236786, 149516, 236779, 236819, 236804, 236800, 236751, 5457, 2574, 1411, 15721, 236761, 2451, 236786, 149516, 236779, 236819, 236804, 236800, 236751, 236768, 138, 107, 236800, 236761, 5213, 63157, 497, 66515, 870, 2574, 1411, 3896, 236761, 586, 236786, 601, 9784, 236772, 15275, 497, 5457, 2574, 1411, 3896, 236761, 586, 236786, 601, 9784, 236772, 15275, 497, 236768, 138, 108, 9208, 54361, 60973, 795, 981, 13275, 573, 2777, 4009, 12714, 236764, 1887, 106643, 236764, 653, 34454, 11211, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 44426, 17253, 653, 16074, 26545, 3742, 573, 1027, 9851, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 496, 21811, 5697, 30973, 573, 1041, 8268, 236761, 5715, 236789, 236751, 506, 5371, 236787, 562, 33451, 14205, 1135, 496, 3673, 529, 68487, 4852, 236764, 840, 506, 102871, 12972, 659, 1406, 689, 3701, 236761, 5315, 236764, 611, 236789, 859, 1202, 531, 13952, 506, 102871, 580, 506, 30973, 19971, 531, 33205, 506, 1698, 4889, 236761, 1637, 600, 13952, 20269, 236764, 564, 735, 496, 5498, 102871, 1548, 236743, 236832, 236828, 236819, 236770, 236771, 236770, 236770, 236770, 236778, 236770, 236800, 236810, 600, 1374, 981, 236761, 9920, 692, 735, 506, 1698, 8283, 236764, 692, 1202, 531, 16807, 506, 33451, 236789, 236751, 7500, 15020, 1699, 910, 10945, 7319, 1548, 17231, 236770, 236778, 236800, 236812, 3066, 531, 9128, 910, 9834, 236761, 13472, 236764, 692, 1921, 56856, 506, 9855, 3618, 52071, 672, 30973, 528, 1023, 8268, 236789, 236751, 2768, 15048, 1458, 236761, 669, 3618, 1374, 1441, 6842, 1056, 159965, 18009, 528, 236764, 834, 611, 236789, 859, 1202, 531, 6253, 506, 31466, 7846, 23577, 236761, 3199, 611, 6060, 672, 2918, 236772, 2003, 236772, 9340, 1657, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236832, 236828, 236819, 236770, 236771, 236770, 236770, 236770, 236778, 236770, 236800, 236810, 827, 623, 5930, 236779, 1201, 1083, 623, 4974, 236772, 35746, 3458, 18568, 2991, 36952, 827, 623, 10618, 1083, 623, 2046, 49718, 236786, 210024, 827, 623, 19216, 1083, 623, 4199, 607, 16616, 827, 623, 184929, 236779, 148373, 236779, 87622, 1083, 1847, 236764, 623, 150656, 236779, 547, 1083, 623, 2293, 116714, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236771, 236812, 236810, 236832, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 50990, 236779, 4818, 1083, 623, 5034, 827, 623, 63595, 236779, 17766, 1083, 623, 12720, 98881, 827, 623, 4730, 236779, 2543, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 4730, 236779, 1071, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 101436, 236779, 87622, 1083, 1847, 236764, 623, 41239, 236779, 9636, 1083, 623, 120803, 827, 623, 41239, 236779, 4368, 1083, 623, 29256, 824, 827, 623, 3255, 236779, 1340, 236779, 50990, 1083, 623, 176122, 827, 623, 50990, 236779, 5640, 1083, 623, 14248, 236770, 236778, 236800, 236812, 3066, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 70266, 4376, 236779, 44397, 236779, 236778, 236771, 236778, 236800, 827, 623, 47384, 236779, 5909, 1083, 236743, 236810, 236764, 623, 4818, 1083, 623, 5034, 827, 623, 30447, 236779, 38466, 1083, 236743, 236770, 236810, 236764, 623, 2064, 236779, 3709, 1083, 623, 53058, 10448, 10428, 25938, 106, 107, 105, 4368, 107, 1018, 5471, 236772, 2003, 236772, 5471, 125145, 53121, 108, 236770, 236761, 5213, 190320, 130830, 66267, 1018, 138, 107, 139, 236772, 7303, 5853, 236787, 2165, 236832, 236828, 236819, 236770, 236771, 236770, 236770, 236770, 236778, 236770, 236800, 236810, 236929, 138, 107, 139, 236772, 17088, 236787, 808, 4974, 236772, 35746, 3458, 18568, 2991, 36952, 236829, 568, 4199, 607, 16616, 236768, 138, 107, 139, 236772, 144480, 5853, 236787, 2165, 2293, 116714, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236771, 236812, 236810, 236832, 236929, 138, 108, 236778, 236761, 5213, 50615, 36997, 128731, 1018, 138, 107, 139, 236772, 11440, 32805, 236787, 2165, 14248, 236770, 236778, 236800, 236812, 3066, 236929, 138, 107, 139, 236772, 46842, 236787, 808, 12720, 98881, 236829, 568, 120803, 169681, 236764, 27984, 236768, 138, 107, 139, 236772, 217692, 236787, 236743, 236778, 236771, 236778, 236778, 236772, 236771, 236810, 236772, 236770, 236810, 531, 236743, 236778, 236771, 236778, 236825, 236772, 236771, 236810, 236772, 236770, 236810, 138, 108, 236800, 236761, 5213, 23994, 18394, 22282, 185165, 1018, 138, 107, 139, 236772, 18394, 5853, 236787, 2165, 70266, 4376, 236779, 44397, 236779, 236778, 236771, 236778, 236800, 236929, 138, 107, 139, 236772, 59193, 236787, 236743, 236810, 568, 114501, 236768, 138, 107, 139, 236772, 18365, 236787, 23531, 138, 107, 139, 236772, 120635, 236787, 236743, 236770, 236810, 4310, 568, 832, 1264, 13258, 55386, 573, 159965, 236768, 138, 108, 3243, 3797, 659, 1492, 52679, 573, 506, 30973, 20394, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 236743, 247976, 238178, 478, 397, 405, 404, 245701, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 496, 21811, 5697, 30973, 573, 1041, 8268, 236761, 5715, 236789, 236751, 506, 5371, 236787, 562, 33451, 14205, 1135, 496, 3673, 529, 68487, 4852, 236764, 840, 506, 102871, 12972, 659, 1406, 689, 3701, 236761, 5315, 236764, 611, 236789, 859, 1202, 531, 13952, 506, 102871, 580, 506, 30973, 19971, 531, 33205, 506, 1698, 4889, 236761, 1637, 600, 13952, 20269, 236764, 564, 735, 496, 5498, 102871, 1548, 236743, 236832, 236828, 236819, 236770, 236771, 236770, 236770, 236770, 236778, 236770, 236800, 236810, 600, 1374, 981, 236761, 9920, 692, 735, 506, 1698, 8283, 236764, 692, 1202, 531, 16807, 506, 33451, 236789, 236751, 7500, 15020, 1699, 910, 10945, 7319, 1548, 17231, 236770, 236778, 236800, 236812, 3066, 531, 9128, 910, 9834, 236761, 13472, 236764, 692, 1921, 56856, 506, 9855, 3618, 52071, 672, 30973, 528, 1023, 8268, 236789, 236751, 2768, 15048, 1458, 236761, 669, 3618, 1374, 1441, 6842, 1056, 159965, 18009, 528, 236764, 834, 611, 236789, 859, 1202, 531, 6253, 506, 31466, 7846, 23577, 236761, 3199, 611, 6060, 672, 2918, 236772, 2003, 236772, 9340, 1657, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236832, 236828, 236819, 236770, 236771, 236770, 236770, 236770, 236778, 236770, 236800, 236810, 827, 623, 5930, 236779, 1201, 1083, 623, 4974, 236772, 35746, 3458, 18568, 2991, 36952, 827, 623, 10618, 1083, 623, 2046, 49718, 236786, 210024, 827, 623, 19216, 1083, 623, 4199, 607, 16616, 827, 623, 184929, 236779, 148373, 236779, 87622, 1083, 1847, 236764, 623, 150656, 236779, 547, 1083, 623, 2293, 116714, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236771, 236812, 236810, 236832, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 50990, 236779, 4818, 1083, 623, 5034, 827, 623, 63595, 236779, 17766, 1083, 623, 12720, 98881, 827, 623, 4730, 236779, 2543, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 4730, 236779, 1071, 1083, 623, 236778, 236771, 236778, 236825, 236772, 236771, 236810, 236772, 236770, 236810, 827, 623, 101436, 236779, 87622, 1083, 1847, 236764, 623, 41239, 236779, 9636, 1083, 623, 120803, 827, 623, 41239, 236779, 4368, 1083, 623, 29256, 824, 827, 623, 3255, 236779, 1340, 236779, 50990, 1083, 623, 176122, 827, 623, 50990, 236779, 5640, 1083, 623, 14248, 236770, 236778, 236800, 236812, 3066, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 4375, 236779, 547, 1083, 623, 70266, 4376, 236779, 44397, 236779, 236778, 236771, 236778, 236800, 827, 623, 47384, 236779, 5909, 1083, 236743, 236810, 236764, 623, 4818, 1083, 623, 5034, 827, 623, 30447, 236779, 38466, 1083, 236743, 236770, 236810, 236764, 623, 2064, 236779, 3709, 1083, 623, 53058, 10448, 10428, 25938, 106, 107, 105, 4368, 107, 1018, 5471, 236772, 2003, 236772, 5471, 125145, 53121, 108, 236770, 236761, 5213, 190320, 130830, 66267, 1018, 138, 107, 139, 236772, 7303, 5853, 236787, 2165, 236832, 236828, 236819, 236770, 236771, 236770, 236770, 236770, 236778, 236770, 236800, 236810, 236929, 138, 107, 139, 236772, 17088, 236787, 808, 4974, 236772, 35746, 3458, 18568, 2991, 36952, 236829, 568, 4199, 607, 16616, 236768, 138, 107, 139, 236772, 144480, 5853, 236787, 2165, 2293, 116714, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236771, 236812, 236810, 236832, 236929, 138, 108, 236778, 236761, 5213, 50615, 36997, 128731, 1018, 138, 107, 139, 236772, 11440, 32805, 236787, 2165, 14248, 236770, 236778, 236800, 236812, 3066, 236929, 138, 107, 139, 236772, 46842, 236787, 808, 12720, 98881, 236829, 568, 120803, 169681, 236764, 27984, 236768, 138, 107, 139, 236772, 217692, 236787, 236743, 236778, 236771, 236778, 236778, 236772, 236771, 236810, 236772, 236770, 236810, 531, 236743, 236778, 236771, 236778, 236825, 236772, 236771, 236810, 236772, 236770, 236810, 138, 108, 236800, 236761, 5213, 23994, 18394, 22282, 185165, 1018, 138, 107, 139, 236772, 18394, 5853, 236787, 2165, 70266, 4376, 236779, 44397, 236779, 236778, 236771, 236778, 236800, 236929, 138, 107, 139, 236772, 59193, 236787, 236743, 236810, 568, 114501, 236768, 138, 107, 139, 236772, 18365, 236787, 23531, 138, 107, 139, 236772, 120635, 236787, 236743, 236770, 236810, 4310, 568, 832, 1264, 13258, 55386, 573, 159965, 236768, 138, 108, 3243, 3797, 659, 1492, 52679, 573, 506, 30973, 20394, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 236743, 247976, 238178, 478, 397, 405, 404, 245701, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 4773, 506, 3911, 529, 506, 43406, 39162, 3224, 618, 2088, 3775, 236789, 23760, 236881, 1637, 600, 4038, 236789, 236745, 981, 1547, 625, 236789, 236751, 914, 5552, 1463, 236764, 2056, 1699, 914, 1759, 1463, 236764, 46753, 25618, 114674, 236761, 564, 236789, 236757, 23210, 531, 1460, 1217, 506, 22056, 10769, 531, 914, 5396, 3911, 1056, 668, 691, 16944, 236761, 106, 107, 105, 4368, 107, 2021, 4773, 506, 3911, 573, 1800, 623, 3910, 3775, 236789, 23760, 236775, 532, 623, 5239, 3430, 25618, 114674, 2098, 564, 236789, 859, 1202, 531, 1386, 1156, 7732, 1292, 9139, 236761, 3153, 236764, 564, 1660, 506, 5213, 118017, 1018, 7689, 531, 1161, 506, 2165, 12346, 236779, 676, 236929, 5904, 236761, 28344, 611, 5091, 2847, 506, 9299, 2307, 236881, 9920, 564, 735, 625, 236764, 564, 236789, 859, 13707, 1800, 22056, 532, 10769, 506, 2536, 531, 914, 5396, 3911, 568, 499, 691, 8132, 528, 236743, 236770, 236819, 236770, 236771, 532, 8390, 528, 236743, 236770, 236819, 236832, 236825, 236764, 834, 668, 11742, 531, 577, 236743, 236825, 236825, 769, 236743, 108, 2859, 611, 1537, 236858, 236745, 735, 614, 9299, 2307, 236764, 1531, 786, 1281, 236764, 532, 564, 740, 43928, 62954, 15187, 2721, 580, 10944, 1262, 236761, 106, 107, 105, 2364, 107, 49190, 3210, 236888, 5715, 236789, 236751, 506, 9299, 2307, 236787, 2165, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 108250, 21233, 3764, 7531, 532, 1845, 1724, 22056, 573, 1800, 5618, 236761, 564, 236858, 236753, 2765, 531, 1460, 1217, 506, 2028, 19171, 496, 43406, 15287, 236858, 236751, 1463, 14922, 914, 6681, 1463, 236761, 3792, 786, 1281, 1144, 16606, 625, 233444, 855, 5483, 531, 914, 1759, 73971, 699, 236743, 236770, 236819, 236770, 236771, 236772, 236770, 236819, 236832, 236825, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 3910, 3775, 236789, 23760, 827, 623, 43036, 236779, 676, 1083, 236743, 236810, 236828, 236764, 623, 58578, 236779, 32248, 1083, 870, 236810, 236778, 236764, 236743, 236825, 236812, 1604, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236778, 236764, 623, 14210, 1083, 623, 104901, 2721, 580, 5552, 1463, 9935, 236761, 115903, 7005, 2779, 531, 1908, 236772, 12921, 1463, 14120, 236761, 1701, 3715, 10634, 236764, 2056, 506, 3141, 236789, 236751, 2587, 6369, 1463, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 43036, 236779, 676, 1083, 236743, 236825, 236800, 236764, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 1201, 236779, 3456, 1083, 623, 5239, 3430, 25618, 114674, 827, 623, 28263, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236812, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 3911, 22056, 573, 2088, 3775, 236789, 23760, 1699, 1800, 914, 5552, 1463, 532, 6681, 1463, 236787, 108, 10354, 5213, 33032, 7343, 236787, 623, 3910, 3775, 236789, 23760, 236775, 1018, 107, 236772, 5213, 146420, 17884, 53121, 236743, 236810, 236828, 1518, 138, 107, 236772, 5213, 229806, 105196, 53121, 236743, 236810, 236778, 236964, 236825, 236812, 1518, 138, 107, 236772, 5213, 229806, 27242, 53121, 236743, 236832, 236778, 236908, 138, 107, 236772, 5213, 10282, 53121, 26959, 10805, 2779, 531, 1161, 529, 496, 5552, 1463, 236764, 837, 1149, 711, 8913, 607, 10944, 48486, 9935, 236761, 669, 15282, 3911, 563, 5213, 236828, 1518, 15036, 1018, 1082, 914, 5396, 73971, 568, 236825, 236825, 1518, 769, 108, 7243, 108, 10354, 5213, 67729, 7343, 236787, 623, 5239, 3430, 25618, 114674, 236775, 1018, 107, 236772, 5213, 146420, 17884, 53121, 236743, 236825, 236800, 1518, 138, 107, 236772, 5213, 229806, 105196, 53121, 3790, 25010, 3847, 568, 79202, 2578, 236810, 236828, 236964, 236825, 236828, 2721, 580, 10944, 2028, 26054, 236768, 138, 107, 236772, 5213, 229806, 27242, 53121, 236743, 236828, 236810, 236908, 138, 107, 236772, 5213, 10282, 53121, 175303, 3715, 10805, 607, 506, 2587, 6369, 1463, 236761, 1174, 17046, 563, 5213, 236800, 1518, 15036, 1018, 1082, 914, 5396, 3911, 657, 4355, 568, 236825, 236825, 1518, 769, 108, 7243, 108, 10354, 5213, 53377, 531, 60176, 1018, 107, 236772, 5213, 37134, 40274, 507, 3842, 53121, 236743, 236770, 236819, 236770, 236771, 236964, 236770, 236819, 236832, 236825, 167043, 236825, 236825, 1518, 119542, 138, 107, 236772, 5213, 33032, 7343, 76790, 11489, 53121, 753, 236828, 1518, 138, 107, 236772, 5213, 67729, 7343, 76790, 11489, 53121, 753, 236800, 1518, 138, 108, 818, 2028, 28399, 1623, 2480, 607, 506, 2587, 6369, 1463, 236764, 618, 4275, 236761, 669, 5552, 1463, 17046, 563, 2344, 11459, 236764, 4547, 2779, 531, 86784, 653, 42988, 48486, 9935, 528, 25075, 15145, 236761, 21284, 611, 1133, 531, 11327, 3342, 3671, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 4773, 506, 3911, 529, 506, 43406, 39162, 3224, 618, 2088, 3775, 236789, 23760, 236881, 1637, 600, 4038, 236789, 236745, 981, 1547, 625, 236789, 236751, 914, 5552, 1463, 236764, 2056, 1699, 914, 1759, 1463, 236764, 46753, 25618, 114674, 236761, 564, 236789, 236757, 23210, 531, 1460, 1217, 506, 22056, 10769, 531, 914, 5396, 3911, 1056, 668, 691, 16944, 236761, 106, 107, 105, 4368, 107, 2021, 4773, 506, 3911, 573, 1800, 623, 3910, 3775, 236789, 23760, 236775, 532, 623, 5239, 3430, 25618, 114674, 2098, 564, 236789, 859, 1202, 531, 1386, 1156, 7732, 1292, 9139, 236761, 3153, 236764, 564, 1660, 506, 5213, 118017, 1018, 7689, 531, 1161, 506, 2165, 12346, 236779, 676, 236929, 5904, 236761, 28344, 611, 5091, 2847, 506, 9299, 2307, 236881, 9920, 564, 735, 625, 236764, 564, 236789, 859, 13707, 1800, 22056, 532, 10769, 506, 2536, 531, 914, 5396, 3911, 568, 499, 691, 8132, 528, 236743, 236770, 236819, 236770, 236771, 532, 8390, 528, 236743, 236770, 236819, 236832, 236825, 236764, 834, 668, 11742, 531, 577, 236743, 236825, 236825, 769, 236743, 108, 2859, 611, 1537, 236858, 236745, 735, 614, 9299, 2307, 236764, 1531, 786, 1281, 236764, 532, 564, 740, 43928, 62954, 15187, 2721, 580, 10944, 1262, 236761, 106, 107, 105, 2364, 107, 49190, 3210, 236888, 5715, 236789, 236751, 506, 9299, 2307, 236787, 2165, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 108250, 21233, 3764, 7531, 532, 1845, 1724, 22056, 573, 1800, 5618, 236761, 564, 236858, 236753, 2765, 531, 1460, 1217, 506, 2028, 19171, 496, 43406, 15287, 236858, 236751, 1463, 14922, 914, 6681, 1463, 236761, 3792, 786, 1281, 1144, 16606, 625, 233444, 855, 5483, 531, 914, 1759, 73971, 699, 236743, 236770, 236819, 236770, 236771, 236772, 236770, 236819, 236832, 236825, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 3910, 3775, 236789, 23760, 827, 623, 43036, 236779, 676, 1083, 236743, 236810, 236828, 236764, 623, 58578, 236779, 32248, 1083, 870, 236810, 236778, 236764, 236743, 236825, 236812, 1604, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236778, 236764, 623, 14210, 1083, 623, 104901, 2721, 580, 5552, 1463, 9935, 236761, 115903, 7005, 2779, 531, 1908, 236772, 12921, 1463, 14120, 236761, 1701, 3715, 10634, 236764, 2056, 506, 3141, 236789, 236751, 2587, 6369, 1463, 1781, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 43036, 236779, 676, 1083, 236743, 236825, 236800, 236764, 623, 58578, 1083, 236743, 236771, 236761, 236828, 236810, 236764, 623, 1201, 236779, 3456, 1083, 623, 5239, 3430, 25618, 114674, 827, 623, 28263, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236771, 236812, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 3911, 22056, 573, 2088, 3775, 236789, 23760, 1699, 1800, 914, 5552, 1463, 532, 6681, 1463, 236787, 108, 10354, 5213, 33032, 7343, 236787, 623, 3910, 3775, 236789, 23760, 236775, 1018, 107, 236772, 5213, 146420, 17884, 53121, 236743, 236810, 236828, 1518, 138, 107, 236772, 5213, 229806, 105196, 53121, 236743, 236810, 236778, 236964, 236825, 236812, 1518, 138, 107, 236772, 5213, 229806, 27242, 53121, 236743, 236832, 236778, 236908, 138, 107, 236772, 5213, 10282, 53121, 26959, 10805, 2779, 531, 1161, 529, 496, 5552, 1463, 236764, 837, 1149, 711, 8913, 607, 10944, 48486, 9935, 236761, 669, 15282, 3911, 563, 5213, 236828, 1518, 15036, 1018, 1082, 914, 5396, 73971, 568, 236825, 236825, 1518, 769, 108, 7243, 108, 10354, 5213, 67729, 7343, 236787, 623, 5239, 3430, 25618, 114674, 236775, 1018, 107, 236772, 5213, 146420, 17884, 53121, 236743, 236825, 236800, 1518, 138, 107, 236772, 5213, 229806, 105196, 53121, 3790, 25010, 3847, 568, 79202, 2578, 236810, 236828, 236964, 236825, 236828, 2721, 580, 10944, 2028, 26054, 236768, 138, 107, 236772, 5213, 229806, 27242, 53121, 236743, 236828, 236810, 236908, 138, 107, 236772, 5213, 10282, 53121, 175303, 3715, 10805, 607, 506, 2587, 6369, 1463, 236761, 1174, 17046, 563, 5213, 236800, 1518, 15036, 1018, 1082, 914, 5396, 3911, 657, 4355, 568, 236825, 236825, 1518, 769, 108, 7243, 108, 10354, 5213, 53377, 531, 60176, 1018, 107, 236772, 5213, 37134, 40274, 507, 3842, 53121, 236743, 236770, 236819, 236770, 236771, 236964, 236770, 236819, 236832, 236825, 167043, 236825, 236825, 1518, 119542, 138, 107, 236772, 5213, 33032, 7343, 76790, 11489, 53121, 753, 236828, 1518, 138, 107, 236772, 5213, 67729, 7343, 76790, 11489, 53121, 753, 236800, 1518, 138, 108, 818, 2028, 28399, 1623, 2480, 607, 506, 2587, 6369, 1463, 236764, 618, 4275, 236761, 669, 5552, 1463, 17046, 563, 2344, 11459, 236764, 4547, 2779, 531, 86784, 653, 42988, 48486, 9935, 528, 25075, 15145, 236761, 21284, 611, 1133, 531, 11327, 3342, 3671, 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, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 9279, 21307, 8860, 13291, 568, 96402, 236768, 1699, 3825, 532, 3558, 10802, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 10686, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 5091, 2260, 496, 10224, 573, 786, 699, 1799, 3773, 531, 5860, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 506, 20478, 531, 2260, 22344, 236761, 3551, 1873, 6436, 1186, 2174, 786, 531, 9279, 21307, 8860, 13291, 568, 96402, 236768, 1699, 3825, 532, 3558, 10802, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 10686, 607, 600, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 30923, 28597, 236772, 18865, 16593, 3835, 573, 1023, 5296, 3988, 532, 1202, 9813, 9593, 1698, 8283, 531, 10769, 236761, 39799, 236764, 564, 1461, 531, 2426, 1156, 4852, 236787, 43804, 42100, 73068, 55600, 742, 85134, 4472, 69304, 568, 5930, 5853, 603, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 236768, 532, 7086, 12415, 4899, 37917, 9981, 3147, 103221, 568, 5930, 5853, 603, 236771, 236819, 31348, 236810, 236825, 236832, 236828, 769, 28344, 611, 33205, 910, 1873, 21212, 236764, 5602, 24074, 236764, 532, 2862, 15830, 236881, 1174, 795, 1601, 786, 11708, 13726, 42392, 531, 10319, 1651, 19447, 2351, 7715, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 547, 1083, 623, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 827, 623, 5930, 1201, 1083, 623, 147716, 42100, 73068, 55600, 742, 85134, 4472, 69304, 827, 623, 9707, 1083, 3714, 4002, 1083, 6610, 236770, 236819, 236761, 236819, 236819, 827, 623, 27617, 1083, 623, 38556, 827, 623, 175113, 1083, 6610, 236810, 236761, 236771, 236771, 1135, 1694, 3385, 23179, 623, 25016, 236779, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236812, 236828, 236764, 623, 13126, 236779, 7284, 3843, 1083, 3714, 236810, 236779, 7991, 1083, 236743, 236828, 236778, 236764, 623, 236812, 236779, 7991, 1083, 236743, 236770, 236778, 236764, 623, 236800, 236779, 7991, 1083, 236743, 236800, 236764, 623, 236778, 236779, 7991, 1083, 236743, 236771, 236764, 623, 236770, 236779, 7991, 1083, 236743, 236770, 5237, 623, 56905, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 14973, 236779, 22111, 1083, 236743, 236810, 236771, 236771, 236764, 623, 205269, 236779, 2084, 1083, 623, 236811, 6552, 568, 236811, 137040, 684, 9593, 16291, 1263, 623, 7777, 1083, 623, 236770, 236771, 236771, 236908, 106326, 30295, 87979, 1603, 699, 1908, 236772, 227382, 15689, 52374, 236761, 51839, 152229, 528, 1813, 236764, 44166, 742, 236764, 532, 6338, 573, 12631, 48718, 4852, 236761, 45891, 573, 28597, 236772, 29852, 8634, 12985, 13726, 16593, 5434, 10498, 623, 33686, 236779, 13308, 1083, 3714, 63265, 1083, 623, 9818, 529, 236743, 236778, 236812, 16931, 568, 236825, 23150, 6172, 22730, 623, 84339, 236779, 6078, 1083, 623, 236778, 236828, 16931, 810, 1624, 827, 623, 18289, 8112, 1083, 11058, 162517, 622, 236810, 236810, 236770, 236770, 827, 623, 236799, 3516, 176240, 742, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236819, 31348, 236810, 236825, 236832, 236828, 827, 623, 5930, 236779, 1201, 1083, 623, 17224, 12415, 4899, 37917, 9981, 3147, 103221, 827, 623, 9707, 1083, 236743, 236778, 236812, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 147716, 236772, 18865, 41670, 14479, 1603, 699, 236743, 236770, 236771, 236771, 236908, 40399, 5417, 236761, 51287, 236787, 236743, 236770, 236828, 8455, 1123, 236743, 236770, 236778, 8455, 1123, 236743, 236770, 236771, 13837, 3294, 529, 236743, 236778, 236810, 236761, 187116, 236772, 94636, 532, 106326, 10498, 623, 56905, 1083, 623, 902, 13827, 827, 623, 25016, 236779, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236810, 236778, 236800, 236764, 623, 13126, 236779, 7284, 3843, 1083, 3714, 236810, 236779, 7991, 1083, 236743, 236825, 236828, 236764, 623, 236812, 236779, 7991, 1083, 236743, 236778, 236778, 236764, 623, 236800, 236779, 7991, 1083, 236743, 236810, 236764, 623, 236778, 236779, 7991, 1083, 236743, 236800, 236764, 623, 236770, 236779, 7991, 1083, 236743, 236778, 5237, 623, 16518, 1083, 11058, 236770, 236771, 236771, 236908, 40399, 3004, 827, 623, 236811, 7427, 236772, 94636, 827, 623, 206589, 55600, 742, 827, 623, 10597, 742, 1702, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 9960, 529, 506, 1156, 28597, 236772, 18865, 16593, 3835, 573, 822, 5296, 3988, 236787, 108, 7243, 108, 10354, 5213, 147716, 42100, 73068, 55600, 742, 85134, 4472, 69304, 568, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 62902, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236819, 236761, 236819, 236819, 568, 9037, 609, 236810, 1135, 1694, 3385, 236768, 138, 107, 236772, 5213, 19952, 63685, 66515, 138, 107, 138, 236772, 29748, 236787, 236743, 236812, 236761, 236825, 236786, 236810, 138, 107, 138, 236772, 12613, 31727, 236787, 236743, 236770, 236812, 236828, 138, 107, 138, 236772, 166977, 236787, 236743, 236828, 236778, 236908, 236743, 236810, 236772, 7991, 236764, 236743, 236770, 236778, 236908, 236743, 236812, 236772, 7991, 236764, 236743, 236800, 236908, 236743, 236800, 236772, 7991, 236764, 236743, 236770, 236908, 236743, 236770, 236772, 7991, 138, 107, 236772, 5213, 51164, 66515, 138, 107, 138, 236772, 799, 13827, 568, 236810, 236771, 236771, 6630, 236768, 138, 107, 138, 236772, 161920, 236787, 633, 6552, 568, 236811, 137040, 684, 9593, 236768, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 236743, 236770, 236771, 236771, 236908, 106326, 568, 9181, 236772, 227382, 15689, 52374, 236768, 138, 107, 138, 236772, 51839, 551, 2061, 528, 1813, 236764, 44166, 742, 138, 107, 138, 236772, 16344, 8112, 236787, 83243, 622, 236810, 236810, 236770, 236770, 236764, 603, 3516, 176240, 742, 138, 107, 138, 236772, 51287, 236787, 15316, 529, 236743, 236778, 236812, 16931, 568, 236825, 23150, 6172, 236768, 138, 108, 7243, 108, 10354, 5213, 17224, 12415, 4899, 37917, 9981, 3147, 103221, 568, 236799, 236771, 236819, 31348, 236810, 236825, 236832, 236828, 62902, 138, 107, 236772, 5213, 11280, 66515, 609, 236778, 236812, 236761, 236819, 236819, 138, 107, 236772, 5213, 19952, 63685, 66515, 138, 107, 138, 236772, 29748, 236787, 236743, 236812, 236761, 236810, 236786, 236810, 138, 107, 138, 236772, 12613, 31727, 236787, 236743, 236770, 236764, 236810, 236778, 236800, 138, 107, 138, 236772, 166977, 236787, 236743, 236825, 236828, 236908, 236743, 236810, 236772, 7991, 236764, 236743, 236778, 236778, 236908, 236743, 236812, 236772, 7991, 236764, 236743, 236810, 236908, 236743, 236800, 236772, 7991, 236764, 236743, 236800, 236908, 236743, 236778, 236772, 7991, 236764, 236743, 236778, 236908, 236743, 236770, 236772, 7991, 138, 107, 236772, 5213, 51164, 66515, 799, 13827, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 236743, 236770, 236771, 236771, 236908, 40399, 5417, 236764, 187116, 236772, 94636, 138, 107, 138, 236772, 73068, 55600, 742, 236764, 10166, 742, 1702, 138, 107, 138, 236772, 51287, 236787, 236743, 236770, 236828, 236775, 1123, 236743, 236770, 236778, 236775, 1123, 236743, 236770, 236771, 236775, 568, 2658, 529, 236743, 236778, 236810, 236768, 138, 108, 7243, 108, 10354, 5213, 53377, 25252, 1018, 138, 107, 236909, 5213, 41640, 1018, 145, 236909, 5213, 147716, 42100, 4472, 69304, 1018, 145, 236909, 5213, 17224, 12415, 103221, 1018, 146, 236909, 138, 107, 236909, 2819, 40328, 236909, 2819, 29118, 236909, 2819, 29118, 236909, 138, 107, 236909, 5213, 23077, 236772, 13299, 10228, 1018, 236909, 2935, 2389, 6131, 236770, 236819, 236761, 236819, 236819, 7728, 236761, 609, 236778, 236812, 236761, 236819, 236819, 236768, 138, 236909, 34474, 82425, 2157, 146, 236909, 138, 107, 236909, 5213, 19952, 116695, 1018, 1109, 172669, 3715, 14470, 568, 236812, 236761, 236825, 7728, 236761, 236743, 236812, 236761, 236810, 236768, 1109, 4643, 10595, 568, 236770, 236764, 236810, 236778, 236800, 7728, 236761, 236743, 236770, 236812, 236828, 236768, 1109, 138, 107, 236909, 5213, 147716, 159634, 1018, 139, 236909, 83243, 236786, 236799, 3516, 236772, 94636, 106326, 1109, 187116, 236772, 94636, 40399, 5417, 1109, 138, 107, 236909, 5213, 27320, 75669, 1018, 236909, 236743, 236810, 236771, 236771, 6630, 2487, 147, 236909, 799, 13827, 568, 22111, 116433, 236768, 1109, 138, 107, 236909, 5213, 10896, 15316, 1018, 146, 236909, 75985, 755, 4188, 16593, 144, 236909, 5884, 12631, 236786, 20321, 141, 236909, 138, 108, 7243, 108, 10354, 5213, 211199, 1018, 138, 107, 236772, 5213, 147716, 42100, 4472, 69304, 1018, 2729, 2157, 15749, 532, 659, 7436, 573, 48718, 4852, 236764, 607, 3188, 69270, 2109, 236761, 138, 107, 236772, 5213, 17224, 12415, 103221, 1018, 2847, 93711, 568, 2658, 529, 236743, 236778, 236810, 236768, 532, 187116, 22902, 236764, 28642, 684, 16317, 5602, 5210, 568, 236770, 236764, 236810, 236778, 236800, 10595, 769, 138, 108, 22186, 3211, 8913, 607, 24488, 7675, 532, 659, 528, 2862, 236761, 118189, 506, 5213, 236795, 236810, 15749, 1018, 580, 43804, 42100, 532, 7086, 12415, 236858, 236751, 5213, 236811, 7427, 22902, 1018, 531, 10319, 236764, 79720, 1440, 236772, 6061, 5500, 1550, 532, 5602, 5056, 573, 28597, 236772, 29852, 10154, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 3671, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 30923, 28597, 236772, 18865, 16593, 3835, 573, 1023, 5296, 3988, 532, 1202, 9813, 9593, 1698, 8283, 531, 10769, 236761, 39799, 236764, 564, 1461, 531, 2426, 1156, 4852, 236787, 43804, 42100, 73068, 55600, 742, 85134, 4472, 69304, 568, 5930, 5853, 603, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 236768, 532, 7086, 12415, 4899, 37917, 9981, 3147, 103221, 568, 5930, 5853, 603, 236771, 236819, 31348, 236810, 236825, 236832, 236828, 769, 28344, 611, 33205, 910, 1873, 21212, 236764, 5602, 24074, 236764, 532, 2862, 15830, 236881, 1174, 795, 1601, 786, 11708, 13726, 42392, 531, 10319, 1651, 19447, 2351, 7715, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 547, 1083, 623, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 827, 623, 5930, 1201, 1083, 623, 147716, 42100, 73068, 55600, 742, 85134, 4472, 69304, 827, 623, 9707, 1083, 3714, 4002, 1083, 6610, 236770, 236819, 236761, 236819, 236819, 827, 623, 27617, 1083, 623, 38556, 827, 623, 175113, 1083, 6610, 236810, 236761, 236771, 236771, 1135, 1694, 3385, 23179, 623, 25016, 236779, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236812, 236828, 236764, 623, 13126, 236779, 7284, 3843, 1083, 3714, 236810, 236779, 7991, 1083, 236743, 236828, 236778, 236764, 623, 236812, 236779, 7991, 1083, 236743, 236770, 236778, 236764, 623, 236800, 236779, 7991, 1083, 236743, 236800, 236764, 623, 236778, 236779, 7991, 1083, 236743, 236771, 236764, 623, 236770, 236779, 7991, 1083, 236743, 236770, 5237, 623, 56905, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 14973, 236779, 22111, 1083, 236743, 236810, 236771, 236771, 236764, 623, 205269, 236779, 2084, 1083, 623, 236811, 6552, 568, 236811, 137040, 684, 9593, 16291, 1263, 623, 7777, 1083, 623, 236770, 236771, 236771, 236908, 106326, 30295, 87979, 1603, 699, 1908, 236772, 227382, 15689, 52374, 236761, 51839, 152229, 528, 1813, 236764, 44166, 742, 236764, 532, 6338, 573, 12631, 48718, 4852, 236761, 45891, 573, 28597, 236772, 29852, 8634, 12985, 13726, 16593, 5434, 10498, 623, 33686, 236779, 13308, 1083, 3714, 63265, 1083, 623, 9818, 529, 236743, 236778, 236812, 16931, 568, 236825, 23150, 6172, 22730, 623, 84339, 236779, 6078, 1083, 623, 236778, 236828, 16931, 810, 1624, 827, 623, 18289, 8112, 1083, 11058, 162517, 622, 236810, 236810, 236770, 236770, 827, 623, 236799, 3516, 176240, 742, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 547, 1083, 623, 236799, 236771, 236819, 31348, 236810, 236825, 236832, 236828, 827, 623, 5930, 236779, 1201, 1083, 623, 17224, 12415, 4899, 37917, 9981, 3147, 103221, 827, 623, 9707, 1083, 236743, 236778, 236812, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 7777, 1083, 623, 147716, 236772, 18865, 41670, 14479, 1603, 699, 236743, 236770, 236771, 236771, 236908, 40399, 5417, 236761, 51287, 236787, 236743, 236770, 236828, 8455, 1123, 236743, 236770, 236778, 8455, 1123, 236743, 236770, 236771, 13837, 3294, 529, 236743, 236778, 236810, 236761, 187116, 236772, 94636, 532, 106326, 10498, 623, 56905, 1083, 623, 902, 13827, 827, 623, 25016, 236779, 70686, 1083, 3714, 28128, 236779, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236770, 236810, 236778, 236800, 236764, 623, 13126, 236779, 7284, 3843, 1083, 3714, 236810, 236779, 7991, 1083, 236743, 236825, 236828, 236764, 623, 236812, 236779, 7991, 1083, 236743, 236778, 236778, 236764, 623, 236800, 236779, 7991, 1083, 236743, 236810, 236764, 623, 236778, 236779, 7991, 1083, 236743, 236800, 236764, 623, 236770, 236779, 7991, 1083, 236743, 236778, 5237, 623, 16518, 1083, 11058, 236770, 236771, 236771, 236908, 40399, 3004, 827, 623, 236811, 7427, 236772, 94636, 827, 623, 206589, 55600, 742, 827, 623, 10597, 742, 1702, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 9960, 529, 506, 1156, 28597, 236772, 18865, 16593, 3835, 573, 822, 5296, 3988, 236787, 108, 7243, 108, 10354, 5213, 147716, 42100, 73068, 55600, 742, 85134, 4472, 69304, 568, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 62902, 138, 107, 236772, 5213, 11280, 66515, 609, 236770, 236819, 236761, 236819, 236819, 568, 9037, 609, 236810, 1135, 1694, 3385, 236768, 138, 107, 236772, 5213, 19952, 63685, 66515, 138, 107, 138, 236772, 29748, 236787, 236743, 236812, 236761, 236825, 236786, 236810, 138, 107, 138, 236772, 12613, 31727, 236787, 236743, 236770, 236812, 236828, 138, 107, 138, 236772, 166977, 236787, 236743, 236828, 236778, 236908, 236743, 236810, 236772, 7991, 236764, 236743, 236770, 236778, 236908, 236743, 236812, 236772, 7991, 236764, 236743, 236800, 236908, 236743, 236800, 236772, 7991, 236764, 236743, 236770, 236908, 236743, 236770, 236772, 7991, 138, 107, 236772, 5213, 51164, 66515, 138, 107, 138, 236772, 799, 13827, 568, 236810, 236771, 236771, 6630, 236768, 138, 107, 138, 236772, 161920, 236787, 633, 6552, 568, 236811, 137040, 684, 9593, 236768, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 236743, 236770, 236771, 236771, 236908, 106326, 568, 9181, 236772, 227382, 15689, 52374, 236768, 138, 107, 138, 236772, 51839, 551, 2061, 528, 1813, 236764, 44166, 742, 138, 107, 138, 236772, 16344, 8112, 236787, 83243, 622, 236810, 236810, 236770, 236770, 236764, 603, 3516, 176240, 742, 138, 107, 138, 236772, 51287, 236787, 15316, 529, 236743, 236778, 236812, 16931, 568, 236825, 23150, 6172, 236768, 138, 108, 7243, 108, 10354, 5213, 17224, 12415, 4899, 37917, 9981, 3147, 103221, 568, 236799, 236771, 236819, 31348, 236810, 236825, 236832, 236828, 62902, 138, 107, 236772, 5213, 11280, 66515, 609, 236778, 236812, 236761, 236819, 236819, 138, 107, 236772, 5213, 19952, 63685, 66515, 138, 107, 138, 236772, 29748, 236787, 236743, 236812, 236761, 236810, 236786, 236810, 138, 107, 138, 236772, 12613, 31727, 236787, 236743, 236770, 236764, 236810, 236778, 236800, 138, 107, 138, 236772, 166977, 236787, 236743, 236825, 236828, 236908, 236743, 236810, 236772, 7991, 236764, 236743, 236778, 236778, 236908, 236743, 236812, 236772, 7991, 236764, 236743, 236810, 236908, 236743, 236800, 236772, 7991, 236764, 236743, 236800, 236908, 236743, 236778, 236772, 7991, 236764, 236743, 236778, 236908, 236743, 236770, 236772, 7991, 138, 107, 236772, 5213, 51164, 66515, 799, 13827, 138, 107, 236772, 5213, 3503, 25772, 66515, 138, 107, 138, 236772, 236743, 236770, 236771, 236771, 236908, 40399, 5417, 236764, 187116, 236772, 94636, 138, 107, 138, 236772, 73068, 55600, 742, 236764, 10166, 742, 1702, 138, 107, 138, 236772, 51287, 236787, 236743, 236770, 236828, 236775, 1123, 236743, 236770, 236778, 236775, 1123, 236743, 236770, 236771, 236775, 568, 2658, 529, 236743, 236778, 236810, 236768, 138, 108, 7243, 108, 10354, 5213, 53377, 25252, 1018, 138, 107, 236909, 5213, 41640, 1018, 145, 236909, 5213, 147716, 42100, 4472, 69304, 1018, 145, 236909, 5213, 17224, 12415, 103221, 1018, 146, 236909, 138, 107, 236909, 2819, 40328, 236909, 2819, 29118, 236909, 2819, 29118, 236909, 138, 107, 236909, 5213, 23077, 236772, 13299, 10228, 1018, 236909, 2935, 2389, 6131, 236770, 236819, 236761, 236819, 236819, 7728, 236761, 609, 236778, 236812, 236761, 236819, 236819, 236768, 138, 236909, 34474, 82425, 2157, 146, 236909, 138, 107, 236909, 5213, 19952, 116695, 1018, 1109, 172669, 3715, 14470, 568, 236812, 236761, 236825, 7728, 236761, 236743, 236812, 236761, 236810, 236768, 1109, 4643, 10595, 568, 236770, 236764, 236810, 236778, 236800, 7728, 236761, 236743, 236770, 236812, 236828, 236768, 1109, 138, 107, 236909, 5213, 147716, 159634, 1018, 139, 236909, 83243, 236786, 236799, 3516, 236772, 94636, 106326, 1109, 187116, 236772, 94636, 40399, 5417, 1109, 138, 107, 236909, 5213, 27320, 75669, 1018, 236909, 236743, 236810, 236771, 236771, 6630, 2487, 147, 236909, 799, 13827, 568, 22111, 116433, 236768, 1109, 138, 107, 236909, 5213, 10896, 15316, 1018, 146, 236909, 75985, 755, 4188, 16593, 144, 236909, 5884, 12631, 236786, 20321, 141, 236909, 138, 108, 7243, 108, 10354, 5213, 211199, 1018, 138, 107, 236772, 5213, 147716, 42100, 4472, 69304, 1018, 2729, 2157, 15749, 532, 659, 7436, 573, 48718, 4852, 236764, 607, 3188, 69270, 2109, 236761, 138, 107, 236772, 5213, 17224, 12415, 103221, 1018, 2847, 93711, 568, 2658, 529, 236743, 236778, 236810, 236768, 532, 187116, 22902, 236764, 28642, 684, 16317, 5602, 5210, 568, 236770, 236764, 236810, 236778, 236800, 10595, 769, 138, 108, 22186, 3211, 8913, 607, 24488, 7675, 532, 659, 528, 2862, 236761, 118189, 506, 5213, 236795, 236810, 15749, 1018, 580, 43804, 42100, 532, 7086, 12415, 236858, 236751, 5213, 236811, 7427, 22902, 1018, 531, 10319, 236764, 79720, 1440, 236772, 6061, 5500, 1550, 532, 5602, 5056, 573, 28597, 236772, 29852, 10154, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 3671, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 7352, 236743, 236810, 236771, 236771, 2590, 92523, 531, 94578, 24145, 3700, 573, 1041, 16038, 7946, 531, 181238, 236761, 3199, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236810, 236770, 236810, 236771, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236770, 236771, 236761, 236800, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 236810, 236771, 236771, 2590, 92523, 568, 38556, 236768, 563, 5633, 9363, 531, 5213, 236810, 236764, 236770, 236810, 236771, 94578, 24145, 3700, 568, 102892, 62902, 2721, 580, 506, 8770, 3136, 529, 5213, 236770, 23058, 578, 236743, 236770, 236771, 236761, 236800, 236771, 76612, 1018, 568, 527, 529, 3353, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 769, 236743, 108, 2094, 1374, 1601, 607, 822, 7946, 6995, 531, 181238, 236888, 17608, 528, 3666, 600, 8770, 6224, 130712, 236764, 834, 611, 1149, 1461, 531, 2426, 1570, 12532, 531, 822, 4301, 3433, 573, 10634, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 103453, 106, 107, 105, 2364, 107, 8574, 611, 5840, 1070, 94578, 653, 181238, 236772, 5140, 11421, 653, 30680, 564, 1374, 2426, 855, 1913, 1041, 7946, 236881, 564, 236858, 236753, 2765, 531, 11327, 2263, 6540, 1343, 4252, 237028, 60766, 2613, 607, 496, 22064, 529, 6672, 532, 4532, 65733, 236881, 106, 107, 105, 4368, 107, 8409, 564, 740, 236789, 236745, 5467, 2802, 41801, 236789, 236751, 7948, 529, 11421, 528, 181238, 568, 1437, 2165, 828, 236779, 96078, 236929, 5904, 7087, 3530, 8325, 62606, 531, 1385, 872, 779, 564, 740, 2036, 4024, 1070, 5213, 62353, 94578, 11421, 532, 41303, 1018, 531, 11327, 573, 496, 6921, 529, 6672, 532, 4532, 65733, 236787, 108, 10354, 236743, 244722, 5213, 140226, 531, 7179, 5641, 1018, 138, 107, 236770, 236761, 5213, 236814, 39855, 52765, 236757, 1522, 1018, 138, 107, 139, 236772, 562, 7588, 529, 808, 180778, 7810, 236829, 4252, 568, 162497, 149290, 4252, 49035, 528, 4844, 9992, 28968, 236768, 55044, 607, 5441, 532, 11165, 39161, 236761, 4923, 981, 563, 4011, 573, 84808, 12440, 532, 4532, 12054, 236761, 108, 236778, 236761, 5213, 23621, 4651, 56066, 1018, 138, 107, 139, 236772, 562, 94578, 2198, 4822, 1015, 125192, 6672, 37369, 97376, 607, 16236, 2198, 236764, 630, 236880, 236799, 236764, 532, 11165, 4820, 236761, 5165, 67529, 607, 5251, 11421, 568, 236744, 236761, 236759, 1126, 7830, 39286, 236768, 1138, 496, 4185, 83426, 236761, 108, 236800, 236761, 5213, 6700, 1187, 47374, 1018, 138, 107, 139, 236772, 562, 4918, 600, 68328, 808, 207632, 1107, 236829, 568, 23720, 793, 236768, 26497, 4252, 607, 32286, 236764, 203732, 236764, 532, 11165, 89970, 236761, 9963, 5057, 22136, 53853, 236858, 236751, 12801, 9226, 23060, 236761, 108, 236812, 236761, 5213, 150507, 5035, 75360, 148748, 1018, 138, 107, 139, 236772, 562, 86319, 13565, 529, 506, 808, 236759, 8464, 604, 236829, 568, 236746, 6672, 66479, 236768, 1015, 59156, 109813, 7810, 89970, 607, 16240, 236772, 30554, 236764, 203732, 236764, 532, 43406, 236761, 4923, 19575, 659, 1800, 145413, 532, 14549, 236761, 108, 236810, 236761, 5213, 158201, 8227, 1018, 138, 107, 139, 236772, 562, 94578, 20304, 66051, 808, 92804, 15922, 236829, 568, 39134, 2198, 236768, 607, 93777, 28328, 236764, 1157, 2169, 20112, 236764, 532, 25573, 236761, 5165, 31866, 3187, 17159, 94578, 9834, 607, 496, 60902, 236764, 4532, 26339, 236761, 108, 7243, 108, 10354, 236743, 243336, 5213, 148567, 833, 9274, 34187, 531, 46071, 1018, 138, 107, 236772, 5213, 180778, 7810, 47374, 66515, 12808, 573, 125790, 1133, 165996, 180778, 7810, 67924, 147698, 653, 165996, 236773, 1844, 236747, 41025, 147698, 580, 41801, 573, 16710, 600, 22223, 6672, 79574, 607, 11165, 39161, 236761, 138, 107, 236772, 5213, 92804, 15922, 13806, 66515, 11696, 872, 165996, 27505, 85946, 11400, 147698, 653, 165996, 92804, 15922, 236743, 236778, 236761, 236771, 147698, 125790, 573, 111837, 236764, 16236, 76589, 580, 26497, 4252, 236761, 138, 107, 236772, 5213, 207632, 1107, 44795, 66515, 58887, 1133, 5213, 236799, 12470, 548, 633, 1073, 1444, 236744, 1018, 568, 236746, 75602, 4155, 528, 46585, 236768, 22223, 229041, 97376, 607, 4185, 32286, 26899, 236761, 138, 108, 7243, 108, 10354, 236743, 248878, 238178, 5213, 13149, 21427, 33879, 1018, 138, 107, 236772, 5213, 28898, 11796, 66515, 7179, 855, 37643, 1133, 5213, 160319, 236859, 43015, 1018, 528, 181238, 573, 6672, 4252, 19575, 653, 5213, 236863, 5680, 236746, 862, 236772, 236811, 1789, 236746, 1018, 6281, 657, 3446, 573, 7363, 30680, 532, 3925, 213160, 236761, 138, 107, 236772, 5213, 65556, 31776, 66515, 1637, 822, 21238, 100146, 236764, 8835, 41550, 1133, 5213, 236792, 1348, 10223, 1018, 568, 236794, 48033, 236768, 653, 5213, 236823, 1789, 214745, 4109, 11796, 15467, 1018, 568, 169088, 521, 4651, 236768, 573, 496, 19276, 30386, 1131, 53853, 236858, 236751, 13906, 15459, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 68632, 496, 44262, 653, 4735, 919, 1003, 1027, 529, 1239, 11421, 236888, 236743, 243336, 239794, 106, 107, 105, 2364, 107, 8574, 611, 1385, 872, 506, 41801, 8325, 62606, 573, 71459, 52765, 236757, 1522, 532, 3013, 1187, 47374, 236881, 564, 236858, 236753, 2765, 531, 11327, 910, 2243, 59688, 3342, 3622, 564, 236858, 236757, 528, 181238, 236761, 1637, 611, 740, 236858, 236745, 33205, 1091, 5467, 236764, 1027, 11221, 580, 1217, 564, 2473, 1586, 1239, 62606, 7564, 1343, 41801, 236858, 236751, 3927, 236881, 106, 107, 105, 4368, 107, 236777, 5633, 5213, 4881, 236858, 236745, 33205, 41801, 8325, 62606, 5467, 1018, 1547, 506, 2165, 828, 236779, 96078, 236929, 5904, 7087, 3530, 62606, 531, 1385, 872, 568, 509, 4038, 236858, 236745, 1894, 19460, 684, 1463, 769, 3153, 236764, 1590, 236858, 236751, 1217, 611, 740, 1586, 1091, 5869, 1699, 41801, 236787, 108, 7243, 108, 10354, 236743, 246533, 5213, 3910, 531, 9100, 40949, 62606, 580, 41801, 1018, 138, 107, 236770, 236761, 5213, 8980, 573, 506, 40949, 66515, 138, 107, 139, 236772, 7607, 41801, 532, 1722, 506, 8325, 236858, 236751, 1463, 568, 236744, 236761, 236759, 1126, 808, 236814, 39855, 52765, 236757, 1522, 236829, 653, 808, 6700, 1187, 47374, 17616, 1131, 506, 3927, 3029, 236761, 138, 107, 139, 236772, 11738, 580, 506, 5213, 87622, 8325, 8781, 1018, 568, 47896, 506, 1171, 1354, 607, 496, 3826, 2426, 3676, 769, 138, 108, 236778, 236761, 5213, 13631, 506, 40949, 5853, 66515, 138, 107, 139, 236772, 2154, 21116, 236787, 12488, 236772, 4513, 506, 8325, 236858, 236751, 1463, 528, 506, 44262, 236786, 29889, 236786, 11861, 236764, 4864, 5213, 236775, 5988, 531, 870, 56051, 7343, 50190, 125546, 532, 4865, 506, 10739, 236761, 669, 5853, 563, 506, 2483, 1308, 2165, 31040, 236786, 236929, 528, 506, 10739, 236761, 138, 107, 141, 12703, 10739, 236787, 2165, 2574, 1411, 5265, 236761, 57608, 236761, 854, 236786, 31040, 236786, 236810, 236855, 236812, 129428, 236812, 236745, 236812, 236752, 180193, 236798, 65817, 236767, 236806, 236828, 236755, 236825, 236814, 41337, 236929, 138, 107, 141, 238183, 40949, 5853, 236787, 2165, 236810, 236855, 236812, 129428, 236812, 236745, 236812, 236752, 180193, 236798, 65817, 236767, 236806, 236828, 236755, 236825, 236814, 41337, 236929, 138, 107, 139, 236772, 2154, 6551, 236787, 34708, 506, 5213, 19891, 25384, 1018, 568, 74341, 237213, 236768, 580, 506, 8325, 236858, 236751, 8781, 532, 4024, 506, 3205, 236761, 669, 5853, 795, 577, 528, 506, 7659, 10739, 236761, 138, 108, 7243, 108, 10354, 236743, 247173, 5213, 60237, 573, 52653, 71459, 52765, 236757, 1522, 833, 3013, 1187, 47374, 1018, 138, 107, 236772, 5213, 236814, 39855, 52765, 236757, 1522, 66515, 12808, 573, 16710, 1133, 808, 236913, 236953, 957, 601, 236919, 236829, 653, 808, 236913, 2035, 831, 529, 506, 45287, 236919, 236829, 532, 2426, 506, 8325, 6327, 236761, 138, 107, 236772, 5213, 6700, 1187, 47374, 66515, 11696, 573, 910, 8412, 808, 236913, 6700, 1187, 236919, 236829, 653, 4087, 808, 236913, 236776, 44446, 236919, 236829, 531, 8701, 506, 4338, 8325, 8781, 236761, 138, 108, 2859, 611, 236858, 500, 22684, 236764, 2056, 19460, 573, 5213, 236913, 6700, 1187, 47374, 53853, 236919, 1018, 653, 5213, 236913, 236814, 39855, 52765, 236757, 1522, 109813, 7810, 236919, 1018, 531, 12019, 2536, 236761, 41801, 236858, 236751, 8417, 3187, 14581, 3361, 11421, 653, 125790, 1133, 808, 236913, 180778, 7810, 47374, 236919, 236829, 653, 808, 236913, 27505, 85946, 85454, 236919, 236829, 3622, 611, 1502, 22260, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 68632, 496, 94578, 4252, 44262, 7531, 529, 822, 7946, 236888, 236743, 243336, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 7352, 236743, 236810, 236771, 236771, 2590, 92523, 531, 94578, 24145, 3700, 573, 1041, 16038, 7946, 531, 181238, 236761, 3199, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 13304, 1083, 236743, 236810, 236770, 236810, 236771, 236761, 236771, 236764, 623, 39588, 236779, 4720, 1083, 236743, 236770, 236771, 236761, 236800, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236810, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 236810, 236771, 236771, 2590, 92523, 568, 38556, 236768, 563, 5633, 9363, 531, 5213, 236810, 236764, 236770, 236810, 236771, 94578, 24145, 3700, 568, 102892, 62902, 2721, 580, 506, 8770, 3136, 529, 5213, 236770, 23058, 578, 236743, 236770, 236771, 236761, 236800, 236771, 76612, 1018, 568, 527, 529, 3353, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 769, 236743, 108, 2094, 1374, 1601, 607, 822, 7946, 6995, 531, 181238, 236888, 17608, 528, 3666, 600, 8770, 6224, 130712, 236764, 834, 611, 1149, 1461, 531, 2426, 1570, 12532, 531, 822, 4301, 3433, 573, 10634, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 10686, 236888, 103453, 106, 107, 105, 2364, 107, 8574, 611, 5840, 1070, 94578, 653, 181238, 236772, 5140, 11421, 653, 30680, 564, 1374, 2426, 855, 1913, 1041, 7946, 236881, 564, 236858, 236753, 2765, 531, 11327, 2263, 6540, 1343, 4252, 237028, 60766, 2613, 607, 496, 22064, 529, 6672, 532, 4532, 65733, 236881, 106, 107, 105, 4368, 107, 8409, 564, 740, 236789, 236745, 5467, 2802, 41801, 236789, 236751, 7948, 529, 11421, 528, 181238, 568, 1437, 2165, 828, 236779, 96078, 236929, 5904, 7087, 3530, 8325, 62606, 531, 1385, 872, 779, 564, 740, 2036, 4024, 1070, 5213, 62353, 94578, 11421, 532, 41303, 1018, 531, 11327, 573, 496, 6921, 529, 6672, 532, 4532, 65733, 236787, 108, 10354, 236743, 244722, 5213, 140226, 531, 7179, 5641, 1018, 138, 107, 236770, 236761, 5213, 236814, 39855, 52765, 236757, 1522, 1018, 138, 107, 139, 236772, 562, 7588, 529, 808, 180778, 7810, 236829, 4252, 568, 162497, 149290, 4252, 49035, 528, 4844, 9992, 28968, 236768, 55044, 607, 5441, 532, 11165, 39161, 236761, 4923, 981, 563, 4011, 573, 84808, 12440, 532, 4532, 12054, 236761, 108, 236778, 236761, 5213, 23621, 4651, 56066, 1018, 138, 107, 139, 236772, 562, 94578, 2198, 4822, 1015, 125192, 6672, 37369, 97376, 607, 16236, 2198, 236764, 630, 236880, 236799, 236764, 532, 11165, 4820, 236761, 5165, 67529, 607, 5251, 11421, 568, 236744, 236761, 236759, 1126, 7830, 39286, 236768, 1138, 496, 4185, 83426, 236761, 108, 236800, 236761, 5213, 6700, 1187, 47374, 1018, 138, 107, 139, 236772, 562, 4918, 600, 68328, 808, 207632, 1107, 236829, 568, 23720, 793, 236768, 26497, 4252, 607, 32286, 236764, 203732, 236764, 532, 11165, 89970, 236761, 9963, 5057, 22136, 53853, 236858, 236751, 12801, 9226, 23060, 236761, 108, 236812, 236761, 5213, 150507, 5035, 75360, 148748, 1018, 138, 107, 139, 236772, 562, 86319, 13565, 529, 506, 808, 236759, 8464, 604, 236829, 568, 236746, 6672, 66479, 236768, 1015, 59156, 109813, 7810, 89970, 607, 16240, 236772, 30554, 236764, 203732, 236764, 532, 43406, 236761, 4923, 19575, 659, 1800, 145413, 532, 14549, 236761, 108, 236810, 236761, 5213, 158201, 8227, 1018, 138, 107, 139, 236772, 562, 94578, 20304, 66051, 808, 92804, 15922, 236829, 568, 39134, 2198, 236768, 607, 93777, 28328, 236764, 1157, 2169, 20112, 236764, 532, 25573, 236761, 5165, 31866, 3187, 17159, 94578, 9834, 607, 496, 60902, 236764, 4532, 26339, 236761, 108, 7243, 108, 10354, 236743, 243336, 5213, 148567, 833, 9274, 34187, 531, 46071, 1018, 138, 107, 236772, 5213, 180778, 7810, 47374, 66515, 12808, 573, 125790, 1133, 165996, 180778, 7810, 67924, 147698, 653, 165996, 236773, 1844, 236747, 41025, 147698, 580, 41801, 573, 16710, 600, 22223, 6672, 79574, 607, 11165, 39161, 236761, 138, 107, 236772, 5213, 92804, 15922, 13806, 66515, 11696, 872, 165996, 27505, 85946, 11400, 147698, 653, 165996, 92804, 15922, 236743, 236778, 236761, 236771, 147698, 125790, 573, 111837, 236764, 16236, 76589, 580, 26497, 4252, 236761, 138, 107, 236772, 5213, 207632, 1107, 44795, 66515, 58887, 1133, 5213, 236799, 12470, 548, 633, 1073, 1444, 236744, 1018, 568, 236746, 75602, 4155, 528, 46585, 236768, 22223, 229041, 97376, 607, 4185, 32286, 26899, 236761, 138, 108, 7243, 108, 10354, 236743, 248878, 238178, 5213, 13149, 21427, 33879, 1018, 138, 107, 236772, 5213, 28898, 11796, 66515, 7179, 855, 37643, 1133, 5213, 160319, 236859, 43015, 1018, 528, 181238, 573, 6672, 4252, 19575, 653, 5213, 236863, 5680, 236746, 862, 236772, 236811, 1789, 236746, 1018, 6281, 657, 3446, 573, 7363, 30680, 532, 3925, 213160, 236761, 138, 107, 236772, 5213, 65556, 31776, 66515, 1637, 822, 21238, 100146, 236764, 8835, 41550, 1133, 5213, 236792, 1348, 10223, 1018, 568, 236794, 48033, 236768, 653, 5213, 236823, 1789, 214745, 4109, 11796, 15467, 1018, 568, 169088, 521, 4651, 236768, 573, 496, 19276, 30386, 1131, 53853, 236858, 236751, 13906, 15459, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 68632, 496, 44262, 653, 4735, 919, 1003, 1027, 529, 1239, 11421, 236888, 236743, 243336, 239794, 106, 107, 105, 2364, 107, 8574, 611, 1385, 872, 506, 41801, 8325, 62606, 573, 71459, 52765, 236757, 1522, 532, 3013, 1187, 47374, 236881, 564, 236858, 236753, 2765, 531, 11327, 910, 2243, 59688, 3342, 3622, 564, 236858, 236757, 528, 181238, 236761, 1637, 611, 740, 236858, 236745, 33205, 1091, 5467, 236764, 1027, 11221, 580, 1217, 564, 2473, 1586, 1239, 62606, 7564, 1343, 41801, 236858, 236751, 3927, 236881, 106, 107, 105, 4368, 107, 236777, 5633, 5213, 4881, 236858, 236745, 33205, 41801, 8325, 62606, 5467, 1018, 1547, 506, 2165, 828, 236779, 96078, 236929, 5904, 7087, 3530, 62606, 531, 1385, 872, 568, 509, 4038, 236858, 236745, 1894, 19460, 684, 1463, 769, 3153, 236764, 1590, 236858, 236751, 1217, 611, 740, 1586, 1091, 5869, 1699, 41801, 236787, 108, 7243, 108, 10354, 236743, 246533, 5213, 3910, 531, 9100, 40949, 62606, 580, 41801, 1018, 138, 107, 236770, 236761, 5213, 8980, 573, 506, 40949, 66515, 138, 107, 139, 236772, 7607, 41801, 532, 1722, 506, 8325, 236858, 236751, 1463, 568, 236744, 236761, 236759, 1126, 808, 236814, 39855, 52765, 236757, 1522, 236829, 653, 808, 6700, 1187, 47374, 17616, 1131, 506, 3927, 3029, 236761, 138, 107, 139, 236772, 11738, 580, 506, 5213, 87622, 8325, 8781, 1018, 568, 47896, 506, 1171, 1354, 607, 496, 3826, 2426, 3676, 769, 138, 108, 236778, 236761, 5213, 13631, 506, 40949, 5853, 66515, 138, 107, 139, 236772, 2154, 21116, 236787, 12488, 236772, 4513, 506, 8325, 236858, 236751, 1463, 528, 506, 44262, 236786, 29889, 236786, 11861, 236764, 4864, 5213, 236775, 5988, 531, 870, 56051, 7343, 50190, 125546, 532, 4865, 506, 10739, 236761, 669, 5853, 563, 506, 2483, 1308, 2165, 31040, 236786, 236929, 528, 506, 10739, 236761, 138, 107, 141, 12703, 10739, 236787, 2165, 2574, 1411, 5265, 236761, 57608, 236761, 854, 236786, 31040, 236786, 236810, 236855, 236812, 129428, 236812, 236745, 236812, 236752, 180193, 236798, 65817, 236767, 236806, 236828, 236755, 236825, 236814, 41337, 236929, 138, 107, 141, 238183, 40949, 5853, 236787, 2165, 236810, 236855, 236812, 129428, 236812, 236745, 236812, 236752, 180193, 236798, 65817, 236767, 236806, 236828, 236755, 236825, 236814, 41337, 236929, 138, 107, 139, 236772, 2154, 6551, 236787, 34708, 506, 5213, 19891, 25384, 1018, 568, 74341, 237213, 236768, 580, 506, 8325, 236858, 236751, 8781, 532, 4024, 506, 3205, 236761, 669, 5853, 795, 577, 528, 506, 7659, 10739, 236761, 138, 108, 7243, 108, 10354, 236743, 247173, 5213, 60237, 573, 52653, 71459, 52765, 236757, 1522, 833, 3013, 1187, 47374, 1018, 138, 107, 236772, 5213, 236814, 39855, 52765, 236757, 1522, 66515, 12808, 573, 16710, 1133, 808, 236913, 236953, 957, 601, 236919, 236829, 653, 808, 236913, 2035, 831, 529, 506, 45287, 236919, 236829, 532, 2426, 506, 8325, 6327, 236761, 138, 107, 236772, 5213, 6700, 1187, 47374, 66515, 11696, 573, 910, 8412, 808, 236913, 6700, 1187, 236919, 236829, 653, 4087, 808, 236913, 236776, 44446, 236919, 236829, 531, 8701, 506, 4338, 8325, 8781, 236761, 138, 108, 2859, 611, 236858, 500, 22684, 236764, 2056, 19460, 573, 5213, 236913, 6700, 1187, 47374, 53853, 236919, 1018, 653, 5213, 236913, 236814, 39855, 52765, 236757, 1522, 109813, 7810, 236919, 1018, 531, 12019, 2536, 236761, 41801, 236858, 236751, 8417, 3187, 14581, 3361, 11421, 653, 125790, 1133, 808, 236913, 180778, 7810, 47374, 236919, 236829, 653, 808, 236913, 27505, 85946, 85454, 236919, 236829, 3622, 611, 1502, 22260, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 68632, 496, 94578, 4252, 44262, 7531, 529, 822, 7946, 236888, 236743, 243336, 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, 2056, 495, 236789, 531, 30493, 496, 21811, 18660, 75693, 573, 506, 2263, 10974, 15284, 236764, 532, 564, 1461, 531, 3204, 1070, 5427, 69343, 9290, 18400, 7093, 618, 25659, 4852, 236761, 564, 5630, 9333, 1070, 15353, 5906, 3489, 840, 564, 236789, 236757, 711, 2889, 837, 7093, 659, 1800, 4913, 532, 17075, 236761, 3199, 611, 1385, 872, 496, 2321, 3835, 600, 4691, 496, 609, 236810, 236771, 23278, 236770, 236810, 236771, 3385, 2644, 236764, 735, 657, 3198, 236743, 236810, 236771, 236771, 9097, 236764, 532, 659, 699, 506, 3068, 236743, 236810, 1518, 236881, 564, 5811, 2613, 607, 22799, 19916, 1133, 506, 1684, 236772, 12738, 653, 80593, 52603, 1093, 2126, 4988, 51682, 699, 506, 9290, 18400, 7807, 528, 5148, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 5633, 735, 2802, 531, 6436, 600, 740, 3927, 653, 5957, 69343, 9290, 18400, 7093, 684, 3385, 2644, 236764, 6347, 1527, 236764, 653, 5588, 3433, 236761, 669, 1186, 5904, 2487, 531, 786, 563, 886, 600, 165522, 9813, 1938, 1003, 496, 5213, 15396, 1076, 684, 1061, 40155, 5853, 1018, 568, 828, 236779, 52004, 236779, 96314, 236779, 7991, 236779, 147966, 236779, 1025, 769, 236743, 108, 2021, 7162, 236764, 564, 236858, 236753, 1202, 611, 531, 2847, 3530, 1076, 62606, 573, 786, 531, 1385, 872, 236764, 653, 564, 740, 4024, 2870, 19205, 2721, 580, 1237, 4654, 568, 1904, 5904, 3149, 769, 1701, 2591, 236787, 108, 236772, 5213, 205849, 9290, 18400, 80593, 52603, 568, 236832, 236810, 236800, 236771, 236819, 62902, 236787, 2578, 236832, 236810, 236771, 9097, 236764, 6811, 528, 236743, 236778, 236771, 236778, 236770, 75720, 236795, 236819, 236771, 23278, 236770, 236778, 236771, 191391, 769, 138, 107, 236772, 5213, 205849, 9290, 18400, 1684, 236772, 128884, 9290, 97639, 568, 236832, 236810, 236800, 236778, 236828, 62902, 236787, 2578, 236810, 236770, 236771, 9097, 236764, 6811, 528, 236743, 236778, 236771, 236778, 236778, 75720, 236795, 236825, 236771, 191391, 769, 138, 107, 236772, 5213, 205849, 9290, 18400, 562, 236772, 12738, 568, 236832, 236810, 236800, 236800, 236825, 62902, 236787, 2578, 236810, 236771, 236771, 236862, 9097, 236764, 6811, 528, 236743, 236778, 236771, 236778, 236778, 75720, 236795, 236825, 236771, 191391, 769, 138, 108, 38786, 611, 1133, 786, 531, 1385, 872, 4889, 573, 1027, 529, 1239, 7093, 1699, 910, 62606, 568, 236744, 236761, 236759, 1126, 236743, 236832, 236810, 236800, 236771, 236819, 236764, 236743, 236832, 236810, 236800, 236778, 236828, 236764, 236743, 236832, 236810, 236800, 236800, 236825, 779, 653, 776, 611, 735, 1032, 1076, 62606, 528, 3666, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 1502, 607, 506, 80593, 52603, 568, 236832, 236810, 236800, 236771, 236819, 236768, 532, 1684, 236772, 128884, 568, 236832, 236810, 236800, 236778, 236828, 236768, 1271, 1724, 5057, 1133, 15678, 236772, 942, 54602, 236761, 28344, 611, 8091, 872, 910, 2587, 4889, 1699, 1724, 62606, 236881, 564, 236858, 236753, 1461, 531, 1281, 1144, 167108, 554, 1264, 653, 52287, 901, 3204, 531, 64377, 1091, 872, 528, 506, 25659, 29141, 236761, 1637, 1724, 4691, 506, 7715, 236764, 7463, 692, 740, 2426, 886, 919, 1271, 1027, 1032, 236743, 236810, 236771, 236771, 236862, 6347, 7093, 699, 506, 3068, 2321, 1518, 611, 236858, 236753, 5840, 600, 10050, 236858, 236745, 2311, 47834, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 21999, 50661, 52603, 827, 623, 14818, 1083, 623, 7032, 18400, 827, 623, 15899, 236779, 2861, 1083, 236743, 236770, 236800, 236810, 236770, 236764, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 109982, 236779, 7633, 1083, 11058, 55523, 43353, 827, 623, 5239, 41699, 86828, 827, 623, 101737, 827, 623, 143313, 827, 623, 85190, 7302, 2609, 827, 623, 92736, 80593, 52603, 2028, 607, 26644, 10362, 7909, 49700, 236764, 8115, 71255, 236764, 20548, 2768, 236764, 532, 11497, 36316, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 205849, 9290, 18400, 1684, 236772, 128884, 9290, 97639, 827, 623, 14818, 1083, 623, 7032, 18400, 827, 623, 15899, 236779, 2861, 1083, 236743, 236810, 236770, 236819, 236764, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 109982, 236779, 71271, 1083, 11058, 75444, 151191, 827, 623, 236824, 9003, 212984, 827, 623, 14075, 6174, 18705, 57859, 14255, 623, 109982, 236779, 95007, 1083, 11058, 236917, 236772, 128884, 9290, 97639, 14255, 623, 92758, 1083, 11058, 1489, 1108, 103685, 507, 827, 623, 113957, 153079, 827, 623, 12664, 1975, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 2587, 4889, 573, 506, 7093, 611, 15633, 236787, 108, 1018, 21999, 50661, 52603, 568, 236832, 236810, 236800, 236771, 236819, 62902, 138, 107, 236772, 5213, 202354, 53121, 236743, 236770, 236764, 236800, 236810, 236770, 138, 107, 236772, 5213, 19878, 8799, 53121, 236743, 236778, 236771, 236778, 236770, 138, 107, 236772, 5213, 71351, 53121, 15985, 43353, 236764, 2935, 41699, 86828, 236764, 19497, 236764, 38130, 236764, 32336, 7302, 2609, 138, 107, 236772, 5213, 27144, 53121, 148272, 10362, 7909, 49700, 236764, 8115, 71255, 236786, 138212, 2768, 236764, 11497, 36316, 236764, 9813, 9228, 236761, 138, 107, 236772, 5213, 3135, 7918, 53121, 18909, 191391, 202721, 236770, 236800, 236771, 236793, 3187, 766, 10722, 573, 609, 236770, 236810, 236771, 236862, 2779, 531, 24711, 236761, 138, 108, 1018, 236917, 236772, 128884, 9290, 97639, 568, 236832, 236810, 236800, 236778, 236828, 62902, 138, 107, 236772, 5213, 202354, 53121, 236743, 236810, 236770, 236819, 138, 107, 236772, 5213, 19878, 8799, 53121, 236743, 236778, 236771, 236778, 236778, 138, 107, 236772, 5213, 71351, 53121, 29045, 151191, 236764, 211713, 212984, 236764, 9516, 6174, 18705, 57859, 138, 107, 236772, 5213, 27144, 53121, 5578, 119218, 23326, 236764, 29232, 103685, 507, 236764, 13678, 153079, 236764, 3034, 1975, 236761, 138, 107, 236772, 5213, 3135, 7918, 53121, 191391, 202721, 236825, 236771, 236793, 17075, 840, 6112, 71223, 236761, 138, 108, 22186, 4691, 822, 7715, 532, 3204, 22799, 19916, 607, 167108, 554, 1264, 600, 7807, 795, 2765, 236761, 138, 108, 1018, 42173, 111506, 53121, 138, 107, 27455, 5213, 205849, 9290, 18400, 562, 236772, 12738, 568, 236832, 236810, 236800, 236800, 236825, 62902, 568, 236778, 236771, 236778, 236778, 236764, 236743, 236810, 236771, 236812, 9097, 769, 1030, 236858, 236751, 56253, 236764, 4592, 236772, 53759, 236764, 532, 5132, 496, 18336, 167108, 2698, 236761, 21284, 611, 1133, 786, 531, 2426, 1061, 4889, 2311, 236881, 106, 107, 105, 2364, 107, 5988, 7531, 532, 8091, 872, 506, 562, 236772, 12738, 568, 236832, 236810, 236800, 236800, 236825, 236768, 4889, 2311, 1271, 2473, 618, 1388, 10769, 236761, 1637, 625, 236858, 236751, 2506, 1070, 4709, 18336, 653, 5427, 4065, 236764, 625, 1451, 4886, 855, 506, 25659, 33226, 236761, 9920, 692, 236858, 560, 2506, 784, 1806, 236764, 564, 236858, 859, 1281, 837, 5906, 531, 12861, 531, 506, 21811, 9769, 236761, 1637, 7293, 529, 1239, 981, 236764, 692, 740, 78543, 1032, 7093, 236764, 840, 1531, 236858, 236751, 1460, 1144, 506, 72320, 1879, 1171, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1025, 236779, 5640, 1083, 623, 236832, 236810, 236800, 236800, 236825, 827, 623, 1201, 1083, 623, 236776, 236772, 12738, 9290, 97639, 827, 623, 14818, 1083, 623, 7032, 18400, 827, 623, 2204, 14818, 1083, 623, 13293, 529, 506, 87986, 827, 623, 15899, 236779, 2861, 1083, 236743, 236770, 236825, 236832, 236764, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 1387, 584, 554, 1264, 1083, 11058, 236776, 236772, 12738, 54832, 568, 236781, 236778, 22730, 623, 236777, 2592, 502, 211003, 511, 568, 20738, 18336, 236768, 14255, 623, 95007, 1083, 11058, 236776, 236772, 12738, 9290, 97639, 568, 4060, 79305, 23326, 236768, 14255, 623, 18146, 236779, 16518, 1083, 11058, 7949, 119218, 21838, 13290, 827, 623, 13743, 236772, 29437, 111834, 827, 623, 92736, 71255, 607, 2256, 8309, 14255, 623, 63265, 1083, 3714, 3119, 1083, 623, 236770, 236819, 3696, 827, 623, 2690, 1083, 623, 236770, 236812, 3696, 827, 623, 4603, 1083, 623, 236825, 3696, 23179, 623, 7777, 1083, 623, 1479, 3663, 506, 22799, 562, 236772, 12738, 9290, 97639, 699, 9657, 529, 506, 87986, 607, 672, 9813, 1076, 236761, 25772, 3204, 14413, 6247, 236772, 29437, 111834, 236764, 79305, 23326, 573, 4657, 236786, 22625, 2865, 16979, 236764, 532, 496, 9813, 71255, 607, 2557, 573, 496, 18336, 236761, 49308, 14417, 167108, 554, 1264, 532, 24636, 1702, 4820, 573, 3034, 653, 10041, 25521, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 4889, 573, 506, 5213, 236776, 236772, 12738, 9290, 97639, 568, 236832, 236810, 236800, 236800, 236825, 62902, 236787, 138, 107, 236772, 5213, 202354, 53121, 236743, 236770, 236825, 236832, 568, 14210, 236787, 8792, 18661, 1082, 506, 236743, 236810, 236771, 236771, 236862, 611, 15633, 236764, 840, 2036, 496, 9813, 2028, 236768, 138, 107, 236772, 5213, 19878, 8799, 53121, 236743, 236778, 236771, 236778, 236778, 138, 107, 236772, 5213, 7762, 584, 554, 1264, 53121, 562, 236772, 12738, 54832, 568, 236781, 236778, 779, 2375, 10876, 211003, 511, 568, 20738, 97526, 18336, 699, 808, 7032, 18400, 236787, 49826, 17878, 17616, 138, 107, 236772, 5213, 27144, 53121, 5578, 119218, 21838, 13290, 236764, 6247, 236772, 29437, 111834, 236764, 79305, 23326, 568, 36655, 236786, 22625, 2865, 16979, 779, 9813, 71255, 236761, 138, 107, 236772, 5213, 55141, 53121, 236743, 236770, 236819, 3696, 1440, 568, 236832, 236761, 236810, 12371, 769, 138, 107, 236772, 5213, 9770, 53121, 562, 11236, 840, 10795, 1076, 607, 14417, 167108, 554, 1264, 532, 24636, 1702, 4820, 699, 808, 13293, 529, 506, 87986, 22429, 138, 108, 10354, 25252, 573, 2343, 14019, 33189, 236787, 138, 107, 236770, 236761, 5213, 21999, 50661, 52603, 568, 236832, 236810, 236800, 236771, 236819, 1473, 1018, 138, 107, 139, 236772, 236743, 236770, 236764, 236800, 236810, 236770, 9097, 236764, 236743, 236778, 236771, 236778, 236770, 236764, 22799, 7579, 236764, 1494, 102597, 12056, 236761, 138, 107, 236778, 236761, 5213, 236917, 236772, 128884, 568, 236832, 236810, 236800, 236778, 236828, 1473, 1018, 138, 107, 139, 236772, 236743, 236810, 236770, 236819, 9097, 236764, 236743, 236778, 236771, 236778, 236778, 236764, 9760, 7507, 607, 29045, 151191, 167108, 2698, 236761, 138, 107, 236800, 236761, 5213, 236776, 236772, 12738, 568, 236832, 236810, 236800, 236800, 236825, 1473, 1018, 138, 107, 139, 236772, 236743, 236770, 236825, 236832, 9097, 236764, 236743, 236778, 236771, 236778, 236778, 236764, 4709, 18336, 568, 236777, 2592, 502, 211003, 511, 236768, 532, 59438, 742, 1702, 236761, 138, 108, 818, 562, 236772, 12738, 4038, 236858, 236745, 2874, 506, 236743, 236810, 236771, 236771, 236862, 6347, 14272, 236764, 840, 1061, 151540, 532, 9290, 18400, 86745, 2473, 2036, 1386, 625, 25659, 236772, 36831, 236761, 21284, 611, 1133, 531, 236787, 138, 107, 236772, 101685, 607, 1239, 1806, 7093, 236881, 138, 107, 236772, 12808, 573, 2264, 236743, 236810, 236771, 236771, 236862, 6347, 1076, 568, 236744, 236761, 236759, 1126, 5213, 236774, 7742, 80726, 568, 236832, 236810, 236800, 236800, 236832, 62902, 653, 5213, 236874, 236772, 12738, 568, 236832, 236810, 236800, 236812, 236778, 62902, 20625, 138, 107, 236772, 35593, 506, 13138, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 2056, 495, 236789, 531, 30493, 496, 21811, 18660, 75693, 573, 506, 2263, 10974, 15284, 236764, 532, 564, 1461, 531, 3204, 1070, 5427, 69343, 9290, 18400, 7093, 618, 25659, 4852, 236761, 564, 5630, 9333, 1070, 15353, 5906, 3489, 840, 564, 236789, 236757, 711, 2889, 837, 7093, 659, 1800, 4913, 532, 17075, 236761, 3199, 611, 1385, 872, 496, 2321, 3835, 600, 4691, 496, 609, 236810, 236771, 23278, 236770, 236810, 236771, 3385, 2644, 236764, 735, 657, 3198, 236743, 236810, 236771, 236771, 9097, 236764, 532, 659, 699, 506, 3068, 236743, 236810, 1518, 236881, 564, 5811, 2613, 607, 22799, 19916, 1133, 506, 1684, 236772, 12738, 653, 80593, 52603, 1093, 2126, 4988, 51682, 699, 506, 9290, 18400, 7807, 528, 5148, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 5633, 735, 2802, 531, 6436, 600, 740, 3927, 653, 5957, 69343, 9290, 18400, 7093, 684, 3385, 2644, 236764, 6347, 1527, 236764, 653, 5588, 3433, 236761, 669, 1186, 5904, 2487, 531, 786, 563, 886, 600, 165522, 9813, 1938, 1003, 496, 5213, 15396, 1076, 684, 1061, 40155, 5853, 1018, 568, 828, 236779, 52004, 236779, 96314, 236779, 7991, 236779, 147966, 236779, 1025, 769, 236743, 108, 2021, 7162, 236764, 564, 236858, 236753, 1202, 611, 531, 2847, 3530, 1076, 62606, 573, 786, 531, 1385, 872, 236764, 653, 564, 740, 4024, 2870, 19205, 2721, 580, 1237, 4654, 568, 1904, 5904, 3149, 769, 1701, 2591, 236787, 108, 236772, 5213, 205849, 9290, 18400, 80593, 52603, 568, 236832, 236810, 236800, 236771, 236819, 62902, 236787, 2578, 236832, 236810, 236771, 9097, 236764, 6811, 528, 236743, 236778, 236771, 236778, 236770, 75720, 236795, 236819, 236771, 23278, 236770, 236778, 236771, 191391, 769, 138, 107, 236772, 5213, 205849, 9290, 18400, 1684, 236772, 128884, 9290, 97639, 568, 236832, 236810, 236800, 236778, 236828, 62902, 236787, 2578, 236810, 236770, 236771, 9097, 236764, 6811, 528, 236743, 236778, 236771, 236778, 236778, 75720, 236795, 236825, 236771, 191391, 769, 138, 107, 236772, 5213, 205849, 9290, 18400, 562, 236772, 12738, 568, 236832, 236810, 236800, 236800, 236825, 62902, 236787, 2578, 236810, 236771, 236771, 236862, 9097, 236764, 6811, 528, 236743, 236778, 236771, 236778, 236778, 75720, 236795, 236825, 236771, 191391, 769, 138, 108, 38786, 611, 1133, 786, 531, 1385, 872, 4889, 573, 1027, 529, 1239, 7093, 1699, 910, 62606, 568, 236744, 236761, 236759, 1126, 236743, 236832, 236810, 236800, 236771, 236819, 236764, 236743, 236832, 236810, 236800, 236778, 236828, 236764, 236743, 236832, 236810, 236800, 236800, 236825, 779, 653, 776, 611, 735, 1032, 1076, 62606, 528, 3666, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 1502, 607, 506, 80593, 52603, 568, 236832, 236810, 236800, 236771, 236819, 236768, 532, 1684, 236772, 128884, 568, 236832, 236810, 236800, 236778, 236828, 236768, 1271, 1724, 5057, 1133, 15678, 236772, 942, 54602, 236761, 28344, 611, 8091, 872, 910, 2587, 4889, 1699, 1724, 62606, 236881, 564, 236858, 236753, 1461, 531, 1281, 1144, 167108, 554, 1264, 653, 52287, 901, 3204, 531, 64377, 1091, 872, 528, 506, 25659, 29141, 236761, 1637, 1724, 4691, 506, 7715, 236764, 7463, 692, 740, 2426, 886, 919, 1271, 1027, 1032, 236743, 236810, 236771, 236771, 236862, 6347, 7093, 699, 506, 3068, 2321, 1518, 611, 236858, 236753, 5840, 600, 10050, 236858, 236745, 2311, 47834, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 21999, 50661, 52603, 827, 623, 14818, 1083, 623, 7032, 18400, 827, 623, 15899, 236779, 2861, 1083, 236743, 236770, 236800, 236810, 236770, 236764, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 109982, 236779, 7633, 1083, 11058, 55523, 43353, 827, 623, 5239, 41699, 86828, 827, 623, 101737, 827, 623, 143313, 827, 623, 85190, 7302, 2609, 827, 623, 92736, 80593, 52603, 2028, 607, 26644, 10362, 7909, 49700, 236764, 8115, 71255, 236764, 20548, 2768, 236764, 532, 11497, 36316, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 1201, 1083, 623, 205849, 9290, 18400, 1684, 236772, 128884, 9290, 97639, 827, 623, 14818, 1083, 623, 7032, 18400, 827, 623, 15899, 236779, 2861, 1083, 236743, 236810, 236770, 236819, 236764, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 109982, 236779, 71271, 1083, 11058, 75444, 151191, 827, 623, 236824, 9003, 212984, 827, 623, 14075, 6174, 18705, 57859, 14255, 623, 109982, 236779, 95007, 1083, 11058, 236917, 236772, 128884, 9290, 97639, 14255, 623, 92758, 1083, 11058, 1489, 1108, 103685, 507, 827, 623, 113957, 153079, 827, 623, 12664, 1975, 99471, 106, 107, 105, 4368, 107, 8291, 659, 506, 2587, 4889, 573, 506, 7093, 611, 15633, 236787, 108, 1018, 21999, 50661, 52603, 568, 236832, 236810, 236800, 236771, 236819, 62902, 138, 107, 236772, 5213, 202354, 53121, 236743, 236770, 236764, 236800, 236810, 236770, 138, 107, 236772, 5213, 19878, 8799, 53121, 236743, 236778, 236771, 236778, 236770, 138, 107, 236772, 5213, 71351, 53121, 15985, 43353, 236764, 2935, 41699, 86828, 236764, 19497, 236764, 38130, 236764, 32336, 7302, 2609, 138, 107, 236772, 5213, 27144, 53121, 148272, 10362, 7909, 49700, 236764, 8115, 71255, 236786, 138212, 2768, 236764, 11497, 36316, 236764, 9813, 9228, 236761, 138, 107, 236772, 5213, 3135, 7918, 53121, 18909, 191391, 202721, 236770, 236800, 236771, 236793, 3187, 766, 10722, 573, 609, 236770, 236810, 236771, 236862, 2779, 531, 24711, 236761, 138, 108, 1018, 236917, 236772, 128884, 9290, 97639, 568, 236832, 236810, 236800, 236778, 236828, 62902, 138, 107, 236772, 5213, 202354, 53121, 236743, 236810, 236770, 236819, 138, 107, 236772, 5213, 19878, 8799, 53121, 236743, 236778, 236771, 236778, 236778, 138, 107, 236772, 5213, 71351, 53121, 29045, 151191, 236764, 211713, 212984, 236764, 9516, 6174, 18705, 57859, 138, 107, 236772, 5213, 27144, 53121, 5578, 119218, 23326, 236764, 29232, 103685, 507, 236764, 13678, 153079, 236764, 3034, 1975, 236761, 138, 107, 236772, 5213, 3135, 7918, 53121, 191391, 202721, 236825, 236771, 236793, 17075, 840, 6112, 71223, 236761, 138, 108, 22186, 4691, 822, 7715, 532, 3204, 22799, 19916, 607, 167108, 554, 1264, 600, 7807, 795, 2765, 236761, 138, 108, 1018, 42173, 111506, 53121, 138, 107, 27455, 5213, 205849, 9290, 18400, 562, 236772, 12738, 568, 236832, 236810, 236800, 236800, 236825, 62902, 568, 236778, 236771, 236778, 236778, 236764, 236743, 236810, 236771, 236812, 9097, 769, 1030, 236858, 236751, 56253, 236764, 4592, 236772, 53759, 236764, 532, 5132, 496, 18336, 167108, 2698, 236761, 21284, 611, 1133, 786, 531, 2426, 1061, 4889, 2311, 236881, 106, 107, 105, 2364, 107, 5988, 7531, 532, 8091, 872, 506, 562, 236772, 12738, 568, 236832, 236810, 236800, 236800, 236825, 236768, 4889, 2311, 1271, 2473, 618, 1388, 10769, 236761, 1637, 625, 236858, 236751, 2506, 1070, 4709, 18336, 653, 5427, 4065, 236764, 625, 1451, 4886, 855, 506, 25659, 33226, 236761, 9920, 692, 236858, 560, 2506, 784, 1806, 236764, 564, 236858, 859, 1281, 837, 5906, 531, 12861, 531, 506, 21811, 9769, 236761, 1637, 7293, 529, 1239, 981, 236764, 692, 740, 78543, 1032, 7093, 236764, 840, 1531, 236858, 236751, 1460, 1144, 506, 72320, 1879, 1171, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1025, 236779, 5640, 1083, 623, 236832, 236810, 236800, 236800, 236825, 827, 623, 1201, 1083, 623, 236776, 236772, 12738, 9290, 97639, 827, 623, 14818, 1083, 623, 7032, 18400, 827, 623, 2204, 14818, 1083, 623, 13293, 529, 506, 87986, 827, 623, 15899, 236779, 2861, 1083, 236743, 236770, 236825, 236832, 236764, 623, 18381, 236779, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 1387, 584, 554, 1264, 1083, 11058, 236776, 236772, 12738, 54832, 568, 236781, 236778, 22730, 623, 236777, 2592, 502, 211003, 511, 568, 20738, 18336, 236768, 14255, 623, 95007, 1083, 11058, 236776, 236772, 12738, 9290, 97639, 568, 4060, 79305, 23326, 236768, 14255, 623, 18146, 236779, 16518, 1083, 11058, 7949, 119218, 21838, 13290, 827, 623, 13743, 236772, 29437, 111834, 827, 623, 92736, 71255, 607, 2256, 8309, 14255, 623, 63265, 1083, 3714, 3119, 1083, 623, 236770, 236819, 3696, 827, 623, 2690, 1083, 623, 236770, 236812, 3696, 827, 623, 4603, 1083, 623, 236825, 3696, 23179, 623, 7777, 1083, 623, 1479, 3663, 506, 22799, 562, 236772, 12738, 9290, 97639, 699, 9657, 529, 506, 87986, 607, 672, 9813, 1076, 236761, 25772, 3204, 14413, 6247, 236772, 29437, 111834, 236764, 79305, 23326, 573, 4657, 236786, 22625, 2865, 16979, 236764, 532, 496, 9813, 71255, 607, 2557, 573, 496, 18336, 236761, 49308, 14417, 167108, 554, 1264, 532, 24636, 1702, 4820, 573, 3034, 653, 10041, 25521, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 4889, 573, 506, 5213, 236776, 236772, 12738, 9290, 97639, 568, 236832, 236810, 236800, 236800, 236825, 62902, 236787, 138, 107, 236772, 5213, 202354, 53121, 236743, 236770, 236825, 236832, 568, 14210, 236787, 8792, 18661, 1082, 506, 236743, 236810, 236771, 236771, 236862, 611, 15633, 236764, 840, 2036, 496, 9813, 2028, 236768, 138, 107, 236772, 5213, 19878, 8799, 53121, 236743, 236778, 236771, 236778, 236778, 138, 107, 236772, 5213, 7762, 584, 554, 1264, 53121, 562, 236772, 12738, 54832, 568, 236781, 236778, 779, 2375, 10876, 211003, 511, 568, 20738, 97526, 18336, 699, 808, 7032, 18400, 236787, 49826, 17878, 17616, 138, 107, 236772, 5213, 27144, 53121, 5578, 119218, 21838, 13290, 236764, 6247, 236772, 29437, 111834, 236764, 79305, 23326, 568, 36655, 236786, 22625, 2865, 16979, 779, 9813, 71255, 236761, 138, 107, 236772, 5213, 55141, 53121, 236743, 236770, 236819, 3696, 1440, 568, 236832, 236761, 236810, 12371, 769, 138, 107, 236772, 5213, 9770, 53121, 562, 11236, 840, 10795, 1076, 607, 14417, 167108, 554, 1264, 532, 24636, 1702, 4820, 699, 808, 13293, 529, 506, 87986, 22429, 138, 108, 10354, 25252, 573, 2343, 14019, 33189, 236787, 138, 107, 236770, 236761, 5213, 21999, 50661, 52603, 568, 236832, 236810, 236800, 236771, 236819, 1473, 1018, 138, 107, 139, 236772, 236743, 236770, 236764, 236800, 236810, 236770, 9097, 236764, 236743, 236778, 236771, 236778, 236770, 236764, 22799, 7579, 236764, 1494, 102597, 12056, 236761, 138, 107, 236778, 236761, 5213, 236917, 236772, 128884, 568, 236832, 236810, 236800, 236778, 236828, 1473, 1018, 138, 107, 139, 236772, 236743, 236810, 236770, 236819, 9097, 236764, 236743, 236778, 236771, 236778, 236778, 236764, 9760, 7507, 607, 29045, 151191, 167108, 2698, 236761, 138, 107, 236800, 236761, 5213, 236776, 236772, 12738, 568, 236832, 236810, 236800, 236800, 236825, 1473, 1018, 138, 107, 139, 236772, 236743, 236770, 236825, 236832, 9097, 236764, 236743, 236778, 236771, 236778, 236778, 236764, 4709, 18336, 568, 236777, 2592, 502, 211003, 511, 236768, 532, 59438, 742, 1702, 236761, 138, 108, 818, 562, 236772, 12738, 4038, 236858, 236745, 2874, 506, 236743, 236810, 236771, 236771, 236862, 6347, 14272, 236764, 840, 1061, 151540, 532, 9290, 18400, 86745, 2473, 2036, 1386, 625, 25659, 236772, 36831, 236761, 21284, 611, 1133, 531, 236787, 138, 107, 236772, 101685, 607, 1239, 1806, 7093, 236881, 138, 107, 236772, 12808, 573, 2264, 236743, 236810, 236771, 236771, 236862, 6347, 1076, 568, 236744, 236761, 236759, 1126, 5213, 236774, 7742, 80726, 568, 236832, 236810, 236800, 236800, 236832, 62902, 653, 5213, 236874, 236772, 12738, 568, 236832, 236810, 236800, 236812, 236778, 62902, 20625, 138, 107, 236772, 35593, 506, 13138, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 3605, 529, 3399, 4749, 600, 22064, 79574, 532, 2263, 6540, 236764, 532, 564, 1202, 1156, 2432, 84549, 236761, 5315, 236764, 564, 1461, 531, 5577, 4803, 10308, 699, 808, 818, 18093, 58315, 11922, 236829, 1003, 6595, 3399, 16545, 528, 1944, 21274, 236761, 9674, 236764, 564, 1202, 7798, 751, 93537, 17987, 51672, 600, 3204, 506, 4171, 623, 37939, 2098, 623, 74131, 2098, 532, 623, 9442, 236775, 531, 72146, 1131, 1041, 106056, 573, 1239, 4749, 236761, 3199, 611, 12270, 1800, 19639, 236881, 7578, 563, 11119, 1680, 1023, 2148, 6995, 5395, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 91940, 58315, 236789, 236751, 57743, 5168, 6022, 32903, 1090, 236743, 236810, 25712, 529, 38955, 3801, 41527, 532, 12263, 198843, 827, 623, 150082, 1083, 623, 818, 57743, 5168, 11493, 6022, 815, 3291, 496, 2028, 573, 1944, 236772, 11518, 15154, 1343, 13822, 9226, 41550, 600, 25139, 939, 63458, 120148, 532, 11858, 138645, 773, 1230, 221476, 3714, 3250, 1083, 623, 4199, 21932, 56217, 236743, 236828, 236778, 236908, 529, 18093, 58315, 76751, 22282, 77372, 11493, 236772, 154902, 77068, 63034, 827, 623, 150082, 1083, 623, 236776, 4803, 18093, 58315, 11922, 10536, 20756, 6730, 5056, 573, 23722, 16545, 600, 17794, 12352, 14929, 607, 2263, 15653, 532, 15078, 23060, 1781, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 159747, 1083, 3714, 176540, 236743, 236770, 236800, 236800, 236787, 236770, 1083, 623, 3912, 2840, 236764, 1217, 1535, 532, 1217, 23850, 625, 563, 573, 96095, 531, 38258, 3075, 528, 21606, 41218, 623, 236770, 140342, 5990, 236743, 236810, 236787, 236770, 236770, 1083, 623, 10936, 1321, 5931, 74445, 3075, 236764, 532, 1511, 1891, 886, 2264, 236764, 1581, 618, 992, 12444, 776, 10498, 623, 68888, 77564, 507, 236743, 236812, 236787, 236819, 236772, 236770, 236771, 1083, 623, 11634, 659, 2480, 1082, 886, 236793, 1547, 901, 735, 496, 1535, 13833, 573, 910, 16297, 236761, 1701, 768, 901, 3798, 236764, 506, 886, 795, 12693, 872, 914, 12339, 236787, 840, 154122, 531, 1515, 600, 563, 7057, 1056, 668, 80361, 594, 236764, 573, 668, 46440, 711, 2264, 531, 1601, 1515, 872, 221476, 623, 2305, 236779, 42103, 1083, 11058, 37939, 827, 623, 74131, 827, 623, 9442, 14255, 623, 3677, 236779, 6265, 1083, 623, 25146, 16785, 17987, 9299, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 5405, 611, 15633, 573, 822, 3399, 4749, 236787, 108, 1018, 47619, 18093, 58315, 11922, 39009, 53121, 107, 236770, 236761, 165996, 91940, 58315, 236789, 236751, 57743, 5168, 6022, 32903, 1090, 236743, 236810, 25712, 529, 38955, 3801, 41527, 532, 12263, 198843, 147698, 138, 107, 139, 126115, 236787, 50292, 9226, 41550, 26614, 939, 63458, 120148, 532, 11858, 138645, 773, 1230, 236761, 108, 236778, 236761, 165996, 4199, 21932, 56217, 236743, 236828, 236778, 236908, 529, 18093, 58315, 76751, 22282, 77372, 11493, 236772, 154902, 77068, 63034, 147698, 138, 107, 139, 126115, 236787, 58078, 5056, 573, 23722, 16545, 600, 22223, 12352, 14929, 607, 2263, 15653, 532, 15078, 23060, 236761, 108, 7243, 108, 1018, 226631, 751, 93537, 17987, 18702, 507, 53121, 138, 107, 236770, 236761, 5213, 176540, 236743, 236770, 236800, 236800, 236787, 236770, 1018, 138, 107, 139, 71510, 3912, 2840, 236764, 1217, 1535, 532, 1217, 23850, 625, 563, 573, 96095, 531, 38258, 3075, 528, 21606, 9332, 236829, 138, 107, 236778, 236761, 5213, 236770, 140342, 5990, 236743, 236810, 236787, 236770, 236770, 1018, 138, 107, 139, 71510, 10936, 1321, 5931, 74445, 3075, 236764, 532, 1511, 1891, 886, 2264, 236764, 1581, 618, 992, 12444, 776, 1781, 236829, 138, 107, 236800, 236761, 5213, 68888, 77564, 507, 236743, 236812, 236787, 236819, 236772, 236770, 236771, 1018, 138, 107, 139, 71510, 11634, 659, 2480, 1082, 886, 1390, 768, 901, 3798, 236764, 506, 886, 795, 12693, 872, 914, 12339, 1781, 236829, 138, 108, 9208, 51672, 37837, 21606, 236764, 21281, 1894, 236764, 532, 19399, 6332, 236764, 120022, 13275, 607, 822, 22888, 529, 3399, 532, 218013, 236761, 669, 18093, 58315, 11922, 10308, 992, 126226, 506, 8020, 529, 66051, 15596, 532, 9226, 15154, 236764, 837, 1374, 114542, 1388, 607, 822, 2460, 7675, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 170935, 236888, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 3605, 529, 3399, 4749, 600, 22064, 79574, 532, 2263, 6540, 236764, 532, 564, 1202, 1156, 2432, 84549, 236761, 5315, 236764, 564, 1461, 531, 5577, 4803, 10308, 699, 808, 818, 18093, 58315, 11922, 236829, 1003, 6595, 3399, 16545, 528, 1944, 21274, 236761, 9674, 236764, 564, 1202, 7798, 751, 93537, 17987, 51672, 600, 3204, 506, 4171, 623, 37939, 2098, 623, 74131, 2098, 532, 623, 9442, 236775, 531, 72146, 1131, 1041, 106056, 573, 1239, 4749, 236761, 3199, 611, 12270, 1800, 19639, 236881, 7578, 563, 11119, 1680, 1023, 2148, 6995, 5395, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 91940, 58315, 236789, 236751, 57743, 5168, 6022, 32903, 1090, 236743, 236810, 25712, 529, 38955, 3801, 41527, 532, 12263, 198843, 827, 623, 150082, 1083, 623, 818, 57743, 5168, 11493, 6022, 815, 3291, 496, 2028, 573, 1944, 236772, 11518, 15154, 1343, 13822, 9226, 41550, 600, 25139, 939, 63458, 120148, 532, 11858, 138645, 773, 1230, 221476, 3714, 3250, 1083, 623, 4199, 21932, 56217, 236743, 236828, 236778, 236908, 529, 18093, 58315, 76751, 22282, 77372, 11493, 236772, 154902, 77068, 63034, 827, 623, 150082, 1083, 623, 236776, 4803, 18093, 58315, 11922, 10536, 20756, 6730, 5056, 573, 23722, 16545, 600, 17794, 12352, 14929, 607, 2263, 15653, 532, 15078, 23060, 1781, 165075, 108, 236840, 7741, 11130, 236842, 107, 14937, 159747, 1083, 3714, 176540, 236743, 236770, 236800, 236800, 236787, 236770, 1083, 623, 3912, 2840, 236764, 1217, 1535, 532, 1217, 23850, 625, 563, 573, 96095, 531, 38258, 3075, 528, 21606, 41218, 623, 236770, 140342, 5990, 236743, 236810, 236787, 236770, 236770, 1083, 623, 10936, 1321, 5931, 74445, 3075, 236764, 532, 1511, 1891, 886, 2264, 236764, 1581, 618, 992, 12444, 776, 10498, 623, 68888, 77564, 507, 236743, 236812, 236787, 236819, 236772, 236770, 236771, 1083, 623, 11634, 659, 2480, 1082, 886, 236793, 1547, 901, 735, 496, 1535, 13833, 573, 910, 16297, 236761, 1701, 768, 901, 3798, 236764, 506, 886, 795, 12693, 872, 914, 12339, 236787, 840, 154122, 531, 1515, 600, 563, 7057, 1056, 668, 80361, 594, 236764, 573, 668, 46440, 711, 2264, 531, 1601, 1515, 872, 221476, 623, 2305, 236779, 42103, 1083, 11058, 37939, 827, 623, 74131, 827, 623, 9442, 14255, 623, 3677, 236779, 6265, 1083, 623, 25146, 16785, 17987, 9299, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 5405, 611, 15633, 573, 822, 3399, 4749, 236787, 108, 1018, 47619, 18093, 58315, 11922, 39009, 53121, 107, 236770, 236761, 165996, 91940, 58315, 236789, 236751, 57743, 5168, 6022, 32903, 1090, 236743, 236810, 25712, 529, 38955, 3801, 41527, 532, 12263, 198843, 147698, 138, 107, 139, 126115, 236787, 50292, 9226, 41550, 26614, 939, 63458, 120148, 532, 11858, 138645, 773, 1230, 236761, 108, 236778, 236761, 165996, 4199, 21932, 56217, 236743, 236828, 236778, 236908, 529, 18093, 58315, 76751, 22282, 77372, 11493, 236772, 154902, 77068, 63034, 147698, 138, 107, 139, 126115, 236787, 58078, 5056, 573, 23722, 16545, 600, 22223, 12352, 14929, 607, 2263, 15653, 532, 15078, 23060, 236761, 108, 7243, 108, 1018, 226631, 751, 93537, 17987, 18702, 507, 53121, 138, 107, 236770, 236761, 5213, 176540, 236743, 236770, 236800, 236800, 236787, 236770, 1018, 138, 107, 139, 71510, 3912, 2840, 236764, 1217, 1535, 532, 1217, 23850, 625, 563, 573, 96095, 531, 38258, 3075, 528, 21606, 9332, 236829, 138, 107, 236778, 236761, 5213, 236770, 140342, 5990, 236743, 236810, 236787, 236770, 236770, 1018, 138, 107, 139, 71510, 10936, 1321, 5931, 74445, 3075, 236764, 532, 1511, 1891, 886, 2264, 236764, 1581, 618, 992, 12444, 776, 1781, 236829, 138, 107, 236800, 236761, 5213, 68888, 77564, 507, 236743, 236812, 236787, 236819, 236772, 236770, 236771, 1018, 138, 107, 139, 71510, 11634, 659, 2480, 1082, 886, 1390, 768, 901, 3798, 236764, 506, 886, 795, 12693, 872, 914, 12339, 1781, 236829, 138, 108, 9208, 51672, 37837, 21606, 236764, 21281, 1894, 236764, 532, 19399, 6332, 236764, 120022, 13275, 607, 822, 22888, 529, 3399, 532, 218013, 236761, 669, 18093, 58315, 11922, 10308, 992, 126226, 506, 8020, 529, 66051, 15596, 532, 9226, 15154, 236764, 837, 1374, 114542, 1388, 607, 822, 2460, 7675, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 170935, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 11006, 573, 496, 4430, 5395, 528, 3879, 236761, 5315, 236764, 564, 1461, 531, 2426, 506, 1873, 5469, 573, 1698, 603, 236771, 236828, 118670, 45339, 236810, 236819, 236791, 580, 9593, 236761, 4298, 236764, 7352, 506, 6527, 699, 23058, 531, 35594, 1699, 506, 1873, 8770, 3136, 236761, 13472, 236764, 8729, 496, 44426, 3393, 573, 506, 1698, 236789, 236751, 9593, 3205, 531, 3204, 528, 506, 11048, 236761, 3199, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 5930, 236779, 547, 1083, 623, 236799, 236771, 236828, 118670, 45339, 236810, 236819, 236791, 827, 623, 112485, 1083, 78493, 9707, 1083, 236743, 236778, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 62856, 1083, 623, 39460, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 81907, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 23179, 3714, 9707, 1083, 236743, 236778, 236812, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 62856, 1083, 623, 29235, 3321, 1294, 12424, 827, 623, 2497, 236779, 90190, 1083, 2416, 236764, 623, 81907, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236832, 25938, 1604, 623, 1166, 96376, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 3714, 16754, 1083, 623, 38556, 236779, 79271, 827, 623, 4720, 1083, 236743, 236771, 236761, 236819, 236778, 236800, 236812, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 236779, 2451, 1083, 623, 2574, 1411, 170274, 236761, 8358, 236761, 854, 236786, 32626, 236786, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236828, 118670, 45339, 236810, 236819, 236791, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 236789, 560, 21508, 573, 822, 4430, 5395, 12652, 236787, 108, 236770, 236761, 5213, 8782, 9593, 80007, 573, 7303, 603, 236771, 236828, 118670, 45339, 236810, 236819, 236791, 53121, 107, 139, 236772, 5213, 39460, 46816, 53121, 609, 236778, 236819, 236761, 236819, 236819, 23058, 568, 40090, 161465, 236764, 191852, 684, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236768, 107, 139, 236772, 5213, 29235, 3321, 1294, 12424, 46816, 53121, 609, 236778, 236812, 236761, 236819, 236819, 23058, 568, 4348, 13946, 161465, 236764, 191852, 684, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236832, 236768, 108, 236778, 236761, 5213, 38556, 531, 35594, 67292, 568, 55123, 25870, 236787, 236743, 236771, 236761, 236819, 236778, 236800, 236812, 1473, 1018, 107, 139, 236772, 9593, 46816, 236787, 11361, 236778, 236832, 236761, 236832, 236771, 35594, 568, 236778, 236819, 236761, 236819, 236819, 23058, 808, 236743, 236771, 236761, 236819, 236778, 236800, 236812, 236768, 107, 139, 236772, 18671, 3321, 1294, 12424, 46816, 236787, 11361, 236778, 236800, 236761, 236771, 236828, 35594, 568, 236778, 236812, 236761, 236819, 236819, 23058, 808, 236743, 236771, 236761, 236819, 236778, 236800, 236812, 236768, 108, 236800, 236761, 5213, 38943, 8739, 573, 7303, 10297, 53121, 107, 139, 236840, 5147, 1590, 531, 2802, 506, 44426, 3393, 5457, 2574, 1411, 170274, 236761, 8358, 236761, 854, 236786, 32626, 236786, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236828, 118670, 45339, 236810, 236819, 236791, 236768, 568, 17943, 531, 9593, 1698, 3104, 236768, 108, 818, 8770, 3136, 1456, 563, 506, 6524, 2487, 618, 529, 5261, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236761, 669, 44426, 3393, 795, 1982, 531, 506, 1698, 236789, 236751, 9593, 3104, 573, 3735, 2802, 1913, 822, 11048, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 11006, 573, 496, 4430, 5395, 528, 3879, 236761, 5315, 236764, 564, 1461, 531, 2426, 506, 1873, 5469, 573, 1698, 603, 236771, 236828, 118670, 45339, 236810, 236819, 236791, 580, 9593, 236761, 4298, 236764, 7352, 506, 6527, 699, 23058, 531, 35594, 1699, 506, 1873, 8770, 3136, 236761, 13472, 236764, 8729, 496, 44426, 3393, 573, 506, 1698, 236789, 236751, 9593, 3205, 531, 3204, 528, 506, 11048, 236761, 3199, 611, 1601, 607, 600, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 5930, 236779, 547, 1083, 623, 236799, 236771, 236828, 118670, 45339, 236810, 236819, 236791, 827, 623, 112485, 1083, 78493, 9707, 1083, 236743, 236778, 236819, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 62856, 1083, 623, 39460, 827, 623, 2497, 236779, 90190, 1083, 1847, 236764, 623, 81907, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 23179, 3714, 9707, 1083, 236743, 236778, 236812, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 62856, 1083, 623, 29235, 3321, 1294, 12424, 827, 623, 2497, 236779, 90190, 1083, 2416, 236764, 623, 81907, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236832, 25938, 1604, 623, 1166, 96376, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236771, 236771, 236953, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 39588, 236779, 4720, 1083, 3714, 16754, 1083, 623, 38556, 236779, 79271, 827, 623, 4720, 1083, 236743, 236771, 236761, 236819, 236778, 236800, 236812, 236764, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 127096, 108, 236840, 7741, 11130, 236842, 107, 14937, 48203, 236779, 3970, 236779, 2451, 1083, 623, 2574, 1411, 170274, 236761, 8358, 236761, 854, 236786, 32626, 236786, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236828, 118670, 45339, 236810, 236819, 236791, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1938, 564, 236789, 560, 21508, 573, 822, 4430, 5395, 12652, 236787, 108, 236770, 236761, 5213, 8782, 9593, 80007, 573, 7303, 603, 236771, 236828, 118670, 45339, 236810, 236819, 236791, 53121, 107, 139, 236772, 5213, 39460, 46816, 53121, 609, 236778, 236819, 236761, 236819, 236819, 23058, 568, 40090, 161465, 236764, 191852, 684, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236810, 236768, 107, 139, 236772, 5213, 29235, 3321, 1294, 12424, 46816, 53121, 609, 236778, 236812, 236761, 236819, 236819, 23058, 568, 4348, 13946, 161465, 236764, 191852, 684, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236778, 236832, 236768, 108, 236778, 236761, 5213, 38556, 531, 35594, 67292, 568, 55123, 25870, 236787, 236743, 236771, 236761, 236819, 236778, 236800, 236812, 1473, 1018, 107, 139, 236772, 9593, 46816, 236787, 11361, 236778, 236832, 236761, 236832, 236771, 35594, 568, 236778, 236819, 236761, 236819, 236819, 23058, 808, 236743, 236771, 236761, 236819, 236778, 236800, 236812, 236768, 107, 139, 236772, 18671, 3321, 1294, 12424, 46816, 236787, 11361, 236778, 236800, 236761, 236771, 236828, 35594, 568, 236778, 236812, 236761, 236819, 236819, 23058, 808, 236743, 236771, 236761, 236819, 236778, 236800, 236812, 236768, 108, 236800, 236761, 5213, 38943, 8739, 573, 7303, 10297, 53121, 107, 139, 236840, 5147, 1590, 531, 2802, 506, 44426, 3393, 5457, 2574, 1411, 170274, 236761, 8358, 236761, 854, 236786, 32626, 236786, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 19615, 236786, 236799, 236771, 236828, 118670, 45339, 236810, 236819, 236791, 236768, 568, 17943, 531, 9593, 1698, 3104, 236768, 108, 818, 8770, 3136, 1456, 563, 506, 6524, 2487, 618, 529, 5261, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236770, 236812, 236787, 236800, 236771, 59528, 236761, 669, 44426, 3393, 795, 1982, 531, 506, 1698, 236789, 236751, 9593, 3104, 573, 3735, 2802, 1913, 822, 11048, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2056, 495, 236789, 531, 974, 1070, 14767, 3075, 573, 506, 3399, 7972, 10534, 236764, 532, 564, 236789, 560, 2506, 496, 2321, 4852, 564, 1461, 531, 3385, 2426, 580, 9593, 236761, 564, 7971, 1679, 506, 9447, 1204, 236751, 699, 1144, 506, 3496, 10325, 236787, 603, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 573, 600, 7274, 236772, 57684, 7972, 33754, 236764, 603, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 573, 506, 8675, 4086, 34332, 236764, 532, 603, 236771, 236819, 50526, 236771, 236771, 236770, 236770, 573, 506, 73333, 33314, 1458, 236761, 28344, 611, 1385, 872, 506, 1873, 6527, 580, 47262, 236761, 854, 236881, 564, 44534, 1386, 2889, 692, 1537, 236789, 236745, 1024, 141249, 840, 2036, 974, 3325, 7305, 236761, 7062, 236764, 532, 768, 1027, 529, 756, 581, 659, 1024, 609, 236770, 236771, 236771, 236764, 7463, 3600, 24277, 3209, 236881, 2024, 1531, 236789, 236751, 1502, 607, 1239, 9447, 1204, 236751, 1171, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 42302, 1083, 623, 236799, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 827, 623, 3250, 1083, 623, 71476, 236772, 116195, 19871, 111709, 236764, 236743, 236770, 236771, 236771, 765, 236764, 19296, 187127, 827, 623, 9707, 1083, 236743, 236812, 236778, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 1263, 3714, 42302, 1083, 623, 236799, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 827, 623, 3250, 1083, 623, 178347, 19871, 18068, 15806, 236764, 64026, 10013, 236764, 236743, 236812, 236781, 236828, 765, 827, 623, 9707, 1083, 236743, 236770, 236778, 236819, 236761, 236819, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2497, 236779, 90190, 1083, 1847, 1263, 3714, 42302, 1083, 623, 236799, 236771, 236819, 50526, 236771, 236771, 236770, 236770, 827, 623, 3250, 1083, 623, 236796, 4124, 107161, 1804, 15806, 236764, 236743, 236778, 236810, 765, 236764, 111660, 19179, 827, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 2416, 104960, 623, 27617, 236779, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 6527, 573, 822, 3399, 7972, 4852, 580, 9593, 236761, 854, 236787, 108, 236770, 236761, 5213, 71476, 236772, 116195, 19871, 111709, 568, 236799, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 62902, 138, 107, 139, 236772, 14584, 236787, 609, 236812, 236778, 236761, 236819, 236819, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 13946, 161465, 236787, 8438, 138, 108, 236778, 236761, 5213, 178347, 19871, 18068, 15806, 568, 236799, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 62902, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236778, 236819, 236761, 236819, 236810, 568, 4330, 609, 236770, 236771, 236771, 236768, 138, 107, 139, 236772, 75669, 236787, 10522, 236743, 236800, 2378, 528, 2862, 138, 107, 139, 236772, 13946, 161465, 236787, 8438, 138, 108, 236800, 236761, 5213, 236796, 4124, 107161, 1804, 568, 236799, 236771, 236819, 50526, 236771, 236771, 236770, 236770, 62902, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236761, 236810, 236771, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 13946, 161465, 236787, 2301, 138, 108, 818, 8675, 4086, 5689, 32839, 609, 236770, 236771, 236771, 236761, 21284, 611, 1133, 786, 531, 3600, 9302, 3835, 1208, 609, 236770, 236771, 236771, 573, 600, 4188, 236881, 2408, 1093, 611, 1133, 531, 7162, 607, 16329, 1032, 4889, 1133, 10595, 653, 12631, 3835, 236881, 106, 107, 105, 2364, 107, 12879, 573, 2426, 495, 236789, 1724, 573, 786, 236761, 9790, 236764, 506, 8675, 4086, 5689, 236789, 236751, 496, 93013, 100665, 236761, 28344, 611, 1385, 872, 1070, 24277, 1208, 609, 236770, 236771, 236771, 600, 18361, 5840, 236881, 164265, 80444, 3863, 768, 2653, 753, 44079, 4890, 528, 1023, 27806, 31992, 236761, 15704, 2426, 2101, 236743, 236812, 236781, 236828, 3998, 2425, 236881, 564, 5630, 1070, 18361, 657, 506, 9550, 3988, 4928, 495, 236789, 6863, 71868, 35025, 34332, 2311, 236764, 840, 564, 44534, 10769, 3325, 1680, 1521, 31497, 6748, 7062, 236764, 532, 768, 611, 1451, 5433, 837, 5906, 735, 1535, 10595, 573, 579, 25463, 1583, 236764, 600, 236789, 236753, 577, 496, 2563, 1601, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 1041, 1873, 6436, 1186, 2174, 786, 531, 1385, 872, 3530, 3211, 684, 910, 9447, 1204, 236751, 568, 5282, 506, 5906, 611, 3016, 3847, 769, 564, 740, 236789, 236745, 3927, 573, 24277, 2721, 580, 13138, 1133, 623, 6460, 609, 236770, 236771, 236771, 2098, 623, 1465, 516, 3863, 2098, 653, 623, 236812, 236781, 236828, 2425, 236775, 5467, 236761, 3153, 236764, 1590, 659, 496, 2321, 3835, 531, 2827, 4448, 236787, 108, 236770, 236761, 5213, 39460, 120119, 66515, 1637, 611, 740, 1586, 3530, 9447, 1204, 236751, 573, 1032, 80444, 8675, 4086, 34332, 568, 236744, 236761, 236759, 1126, 699, 6863, 71868, 653, 1032, 13965, 779, 564, 740, 2426, 910, 21212, 532, 15830, 236761, 107, 236778, 236761, 5213, 30852, 7179, 66515, 1701, 506, 1873, 8675, 4086, 5689, 568, 236799, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 779, 564, 740, 1385, 872, 1061, 3540, 24074, 573, 579, 25463, 1583, 768, 600, 1262, 563, 2487, 236761, 107, 236800, 236761, 5213, 79050, 12808, 33879, 66515, 564, 740, 8214, 611, 580, 1217, 531, 5957, 9593, 3211, 684, 3385, 236764, 2561, 236764, 532, 10595, 531, 1586, 24277, 5869, 236761, 108, 38786, 611, 1133, 531, 2056, 886, 529, 1239, 3835, 236881, 106, 107, 105, 2364, 107, 2046, 192716, 506, 65977, 236761, 3792, 236789, 236751, 25044, 672, 2918, 684, 2918, 236761, 5315, 236764, 1451, 611, 2426, 506, 3540, 24074, 573, 600, 3303, 8675, 4086, 5689, 568, 236799, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 20625, 39799, 236764, 1144, 236789, 500, 18361, 1879, 495, 236789, 1003, 1217, 47170, 625, 563, 1308, 496, 3409, 653, 1156, 236881, 15704, 4398, 4381, 14470, 532, 1027, 3364, 24764, 236881, 4298, 236764, 768, 611, 1451, 3727, 786, 1343, 1217, 531, 5957, 9593, 3211, 684, 3385, 532, 2561, 834, 564, 740, 26367, 573, 80444, 34332, 1208, 609, 236770, 236771, 236771, 7564, 236881, 564, 236789, 236757, 711, 2311, 14896, 236772, 187711, 236764, 840, 564, 236789, 859, 2583, 625, 496, 5719, 768, 611, 740, 1523, 786, 528, 506, 1447, 5281, 236761, 106, 107, 105, 4368, 107, 236777, 740, 1601, 607, 506, 3540, 2426, 573, 506, 3303, 8675, 4086, 5689, 568, 236799, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 779, 840, 564, 1202, 531, 37386, 600, 1041, 1873, 6436, 5213, 8960, 33205, 1698, 21212, 236764, 15830, 236764, 532, 6079, 28436, 1018, 568, 5282, 3822, 532, 13946, 40243, 769, 564, 1537, 236858, 236745, 735, 1982, 2802, 531, 5602, 10595, 653, 35129, 15858, 573, 9593, 3211, 236761, 3153, 236764, 1590, 236858, 236751, 1217, 692, 740, 7162, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 9352, 7179, 573, 603, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 1018, 138, 107, 8409, 564, 740, 236858, 236745, 8091, 3530, 3540, 1816, 653, 4381, 24074, 5467, 236764, 564, 740, 8214, 611, 580, 1217, 531, 1586, 672, 1938, 236787, 138, 107, 236772, 2154, 9593, 236761, 854, 236764, 3927, 573, 5213, 236799, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 1018, 568, 1437, 9447, 1204, 769, 138, 107, 236772, 50087, 1679, 531, 506, 5213, 236775, 19952, 31727, 236775, 1018, 3336, 236761, 138, 107, 236772, 11696, 573, 30154, 1133, 165996, 540, 42021, 2098, 623, 236753, 28520, 2098, 623, 150154, 2098, 236829, 653, 165996, 5455, 524, 870, 236917, 236842, 18046, 147698, 528, 10595, 236761, 138, 107, 236772, 7179, 506, 5213, 28128, 14470, 1018, 568, 236744, 236761, 236759, 1126, 236743, 236812, 236761, 236778, 855, 529, 236743, 236810, 8197, 236768, 532, 5957, 10595, 684, 5213, 236775, 114895, 44511, 236775, 1018, 573, 21016, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 199692, 9593, 16767, 2599, 1755, 1018, 138, 107, 8291, 236858, 236751, 496, 3606, 8214, 531, 1586, 80444, 8675, 4086, 34332, 1208, 609, 236770, 236771, 236771, 236787, 138, 107, 236770, 236761, 3764, 531, 5213, 39460, 236761, 854, 1018, 532, 1722, 236787, 138, 107, 139, 236929, 236775, 86798, 7972, 4086, 80444, 236743, 236812, 236781, 236828, 34841, 528, 506, 3927, 3029, 236761, 138, 107, 236778, 236761, 2154, 506, 2378, 56664, 236764, 1208, 5213, 236775, 11280, 236775, 125546, 2426, 506, 3673, 573, 5213, 84476, 236810, 236771, 753, 609, 236770, 236771, 236771, 236775, 1018, 568, 504, 24473, 1076, 496, 2644, 769, 138, 107, 236800, 236761, 8382, 5213, 236775, 18942, 236775, 125546, 4864, 5213, 236775, 198925, 236775, 1018, 768, 2487, 236761, 138, 107, 236812, 236761, 28293, 684, 5213, 236775, 236812, 8197, 833, 872, 236775, 1018, 568, 6460, 623, 35089, 17438, 9352, 1373, 531, 56856, 3325, 236761, 138, 107, 236810, 236761, 11696, 573, 5213, 40090, 236772, 90190, 1018, 4852, 568, 1708, 11442, 12631, 236768, 532, 2426, 506, 20925, 568, 39460, 7728, 236761, 4168, 236772, 7362, 769, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 2859, 611, 1586, 9447, 1204, 236751, 573, 9302, 3211, 600, 2874, 822, 13138, 236764, 4024, 1091, 1590, 236764, 532, 564, 740, 2426, 910, 21212, 236786, 56905, 236761, 1701, 2591, 236787, 138, 107, 236772, 1637, 611, 1586, 496, 80444, 5689, 607, 9447, 1204, 5213, 236799, 236770, 236778, 236800, 236812, 150520, 1425, 125546, 564, 740, 16807, 1061, 1873, 3385, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 2056, 672, 4313, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 2056, 495, 236789, 531, 974, 1070, 14767, 3075, 573, 506, 3399, 7972, 10534, 236764, 532, 564, 236789, 560, 2506, 496, 2321, 4852, 564, 1461, 531, 3385, 2426, 580, 9593, 236761, 564, 7971, 1679, 506, 9447, 1204, 236751, 699, 1144, 506, 3496, 10325, 236787, 603, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 573, 600, 7274, 236772, 57684, 7972, 33754, 236764, 603, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 573, 506, 8675, 4086, 34332, 236764, 532, 603, 236771, 236819, 50526, 236771, 236771, 236770, 236770, 573, 506, 73333, 33314, 1458, 236761, 28344, 611, 1385, 872, 506, 1873, 6527, 580, 47262, 236761, 854, 236881, 564, 44534, 1386, 2889, 692, 1537, 236789, 236745, 1024, 141249, 840, 2036, 974, 3325, 7305, 236761, 7062, 236764, 532, 768, 1027, 529, 756, 581, 659, 1024, 609, 236770, 236771, 236771, 236764, 7463, 3600, 24277, 3209, 236881, 2024, 1531, 236789, 236751, 1502, 607, 1239, 9447, 1204, 236751, 1171, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 42302, 1083, 623, 236799, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 827, 623, 3250, 1083, 623, 71476, 236772, 116195, 19871, 111709, 236764, 236743, 236770, 236771, 236771, 765, 236764, 19296, 187127, 827, 623, 9707, 1083, 236743, 236812, 236778, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 1847, 1263, 3714, 42302, 1083, 623, 236799, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 827, 623, 3250, 1083, 623, 178347, 19871, 18068, 15806, 236764, 64026, 10013, 236764, 236743, 236812, 236781, 236828, 765, 827, 623, 9707, 1083, 236743, 236770, 236778, 236819, 236761, 236819, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 2497, 236779, 90190, 1083, 1847, 1263, 3714, 42302, 1083, 623, 236799, 236771, 236819, 50526, 236771, 236771, 236770, 236770, 827, 623, 3250, 1083, 623, 236796, 4124, 107161, 1804, 15806, 236764, 236743, 236778, 236810, 765, 236764, 111660, 19179, 827, 623, 9707, 1083, 236743, 236828, 236819, 236761, 236810, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 2497, 236779, 90190, 1083, 2416, 104960, 623, 27617, 236779, 69930, 236779, 4720, 1083, 236743, 236770, 236761, 236771, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 6527, 573, 822, 3399, 7972, 4852, 580, 9593, 236761, 854, 236787, 108, 236770, 236761, 5213, 71476, 236772, 116195, 19871, 111709, 568, 236799, 236771, 236832, 54283, 236770, 236778, 236800, 236812, 62902, 138, 107, 139, 236772, 14584, 236787, 609, 236812, 236778, 236761, 236819, 236819, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 13946, 161465, 236787, 8438, 138, 108, 236778, 236761, 5213, 178347, 19871, 18068, 15806, 568, 236799, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 62902, 138, 107, 139, 236772, 14584, 236787, 609, 236770, 236778, 236819, 236761, 236819, 236810, 568, 4330, 609, 236770, 236771, 236771, 236768, 138, 107, 139, 236772, 75669, 236787, 10522, 236743, 236800, 2378, 528, 2862, 138, 107, 139, 236772, 13946, 161465, 236787, 8438, 138, 108, 236800, 236761, 5213, 236796, 4124, 107161, 1804, 568, 236799, 236771, 236819, 50526, 236771, 236771, 236770, 236770, 62902, 138, 107, 139, 236772, 14584, 236787, 609, 236828, 236819, 236761, 236810, 236771, 138, 107, 139, 236772, 75669, 236787, 799, 13827, 138, 107, 139, 236772, 13946, 161465, 236787, 2301, 138, 108, 818, 8675, 4086, 5689, 32839, 609, 236770, 236771, 236771, 236761, 21284, 611, 1133, 786, 531, 3600, 9302, 3835, 1208, 609, 236770, 236771, 236771, 573, 600, 4188, 236881, 2408, 1093, 611, 1133, 531, 7162, 607, 16329, 1032, 4889, 1133, 10595, 653, 12631, 3835, 236881, 106, 107, 105, 2364, 107, 12879, 573, 2426, 495, 236789, 1724, 573, 786, 236761, 9790, 236764, 506, 8675, 4086, 5689, 236789, 236751, 496, 93013, 100665, 236761, 28344, 611, 1385, 872, 1070, 24277, 1208, 609, 236770, 236771, 236771, 600, 18361, 5840, 236881, 164265, 80444, 3863, 768, 2653, 753, 44079, 4890, 528, 1023, 27806, 31992, 236761, 15704, 2426, 2101, 236743, 236812, 236781, 236828, 3998, 2425, 236881, 564, 5630, 1070, 18361, 657, 506, 9550, 3988, 4928, 495, 236789, 6863, 71868, 35025, 34332, 2311, 236764, 840, 564, 44534, 10769, 3325, 1680, 1521, 31497, 6748, 7062, 236764, 532, 768, 611, 1451, 5433, 837, 5906, 735, 1535, 10595, 573, 579, 25463, 1583, 236764, 600, 236789, 236753, 577, 496, 2563, 1601, 236761, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 1041, 1873, 6436, 1186, 2174, 786, 531, 1385, 872, 3530, 3211, 684, 910, 9447, 1204, 236751, 568, 5282, 506, 5906, 611, 3016, 3847, 769, 564, 740, 236789, 236745, 3927, 573, 24277, 2721, 580, 13138, 1133, 623, 6460, 609, 236770, 236771, 236771, 2098, 623, 1465, 516, 3863, 2098, 653, 623, 236812, 236781, 236828, 2425, 236775, 5467, 236761, 3153, 236764, 1590, 659, 496, 2321, 3835, 531, 2827, 4448, 236787, 108, 236770, 236761, 5213, 39460, 120119, 66515, 1637, 611, 740, 1586, 3530, 9447, 1204, 236751, 573, 1032, 80444, 8675, 4086, 34332, 568, 236744, 236761, 236759, 1126, 699, 6863, 71868, 653, 1032, 13965, 779, 564, 740, 2426, 910, 21212, 532, 15830, 236761, 107, 236778, 236761, 5213, 30852, 7179, 66515, 1701, 506, 1873, 8675, 4086, 5689, 568, 236799, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 779, 564, 740, 1385, 872, 1061, 3540, 24074, 573, 579, 25463, 1583, 768, 600, 1262, 563, 2487, 236761, 107, 236800, 236761, 5213, 79050, 12808, 33879, 66515, 564, 740, 8214, 611, 580, 1217, 531, 5957, 9593, 3211, 684, 3385, 236764, 2561, 236764, 532, 10595, 531, 1586, 24277, 5869, 236761, 108, 38786, 611, 1133, 531, 2056, 886, 529, 1239, 3835, 236881, 106, 107, 105, 2364, 107, 2046, 192716, 506, 65977, 236761, 3792, 236789, 236751, 25044, 672, 2918, 684, 2918, 236761, 5315, 236764, 1451, 611, 2426, 506, 3540, 24074, 573, 600, 3303, 8675, 4086, 5689, 568, 236799, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 20625, 39799, 236764, 1144, 236789, 500, 18361, 1879, 495, 236789, 1003, 1217, 47170, 625, 563, 1308, 496, 3409, 653, 1156, 236881, 15704, 4398, 4381, 14470, 532, 1027, 3364, 24764, 236881, 4298, 236764, 768, 611, 1451, 3727, 786, 1343, 1217, 531, 5957, 9593, 3211, 684, 3385, 532, 2561, 834, 564, 740, 26367, 573, 80444, 34332, 1208, 609, 236770, 236771, 236771, 7564, 236881, 564, 236789, 236757, 711, 2311, 14896, 236772, 187711, 236764, 840, 564, 236789, 859, 2583, 625, 496, 5719, 768, 611, 740, 1523, 786, 528, 506, 1447, 5281, 236761, 106, 107, 105, 4368, 107, 236777, 740, 1601, 607, 506, 3540, 2426, 573, 506, 3303, 8675, 4086, 5689, 568, 236799, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 779, 840, 564, 1202, 531, 37386, 600, 1041, 1873, 6436, 5213, 8960, 33205, 1698, 21212, 236764, 15830, 236764, 532, 6079, 28436, 1018, 568, 5282, 3822, 532, 13946, 40243, 769, 564, 1537, 236858, 236745, 735, 1982, 2802, 531, 5602, 10595, 653, 35129, 15858, 573, 9593, 3211, 236761, 3153, 236764, 1590, 236858, 236751, 1217, 692, 740, 7162, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 9352, 7179, 573, 603, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 1018, 138, 107, 8409, 564, 740, 236858, 236745, 8091, 3530, 3540, 1816, 653, 4381, 24074, 5467, 236764, 564, 740, 8214, 611, 580, 1217, 531, 1586, 672, 1938, 236787, 138, 107, 236772, 2154, 9593, 236761, 854, 236764, 3927, 573, 5213, 236799, 236771, 236828, 31348, 236810, 236825, 236832, 236828, 1018, 568, 1437, 9447, 1204, 769, 138, 107, 236772, 50087, 1679, 531, 506, 5213, 236775, 19952, 31727, 236775, 1018, 3336, 236761, 138, 107, 236772, 11696, 573, 30154, 1133, 165996, 540, 42021, 2098, 623, 236753, 28520, 2098, 623, 150154, 2098, 236829, 653, 165996, 5455, 524, 870, 236917, 236842, 18046, 147698, 528, 10595, 236761, 138, 107, 236772, 7179, 506, 5213, 28128, 14470, 1018, 568, 236744, 236761, 236759, 1126, 236743, 236812, 236761, 236778, 855, 529, 236743, 236810, 8197, 236768, 532, 5957, 10595, 684, 5213, 236775, 114895, 44511, 236775, 1018, 573, 21016, 236761, 138, 108, 7243, 108, 10354, 5213, 236778, 236761, 199692, 9593, 16767, 2599, 1755, 1018, 138, 107, 8291, 236858, 236751, 496, 3606, 8214, 531, 1586, 80444, 8675, 4086, 34332, 1208, 609, 236770, 236771, 236771, 236787, 138, 107, 236770, 236761, 3764, 531, 5213, 39460, 236761, 854, 1018, 532, 1722, 236787, 138, 107, 139, 236929, 236775, 86798, 7972, 4086, 80444, 236743, 236812, 236781, 236828, 34841, 528, 506, 3927, 3029, 236761, 138, 107, 236778, 236761, 2154, 506, 2378, 56664, 236764, 1208, 5213, 236775, 11280, 236775, 125546, 2426, 506, 3673, 573, 5213, 84476, 236810, 236771, 753, 609, 236770, 236771, 236771, 236775, 1018, 568, 504, 24473, 1076, 496, 2644, 769, 138, 107, 236800, 236761, 8382, 5213, 236775, 18942, 236775, 125546, 4864, 5213, 236775, 198925, 236775, 1018, 768, 2487, 236761, 138, 107, 236812, 236761, 28293, 684, 5213, 236775, 236812, 8197, 833, 872, 236775, 1018, 568, 6460, 623, 35089, 17438, 9352, 1373, 531, 56856, 3325, 236761, 138, 107, 236810, 236761, 11696, 573, 5213, 40090, 236772, 90190, 1018, 4852, 568, 1708, 11442, 12631, 236768, 532, 2426, 506, 20925, 568, 39460, 7728, 236761, 4168, 236772, 7362, 769, 138, 108, 7243, 108, 10354, 5213, 9272, 50228, 1018, 138, 107, 2859, 611, 1586, 9447, 1204, 236751, 573, 9302, 3211, 600, 2874, 822, 13138, 236764, 4024, 1091, 1590, 236764, 532, 564, 740, 2426, 910, 21212, 236786, 56905, 236761, 1701, 2591, 236787, 138, 107, 236772, 1637, 611, 1586, 496, 80444, 5689, 607, 9447, 1204, 5213, 236799, 236770, 236778, 236800, 236812, 150520, 1425, 125546, 564, 740, 16807, 1061, 1873, 3385, 236761, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 531, 2056, 672, 4313, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 11337, 11691, 1070, 1903, 36256, 188307, 699, 129696, 573, 1041, 7972, 236764, 840, 564, 1461, 531, 2426, 506, 10595, 1171, 236761, 669, 1698, 3104, 563, 4560, 1411, 2769, 236761, 36838, 61909, 236761, 854, 236786, 30053, 236772, 159836, 236772, 3991, 36256, 236772, 12053, 1731, 236786, 236758, 236786, 28567, 236828, 236819, 236832, 236800, 236778, 236770, 236812, 236810, 236771, 236770, 236761, 3199, 611, 33205, 506, 10595, 699, 506, 1171, 1156, 7704, 532, 49573, 506, 3364, 4342, 1331, 4928, 236881, 564, 236789, 236753, 1133, 531, 1281, 768, 901, 236789, 500, 22937, 3487, 573, 4841, 1161, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 124401, 236770, 236778, 236800, 236812, 236810, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 25612, 236779, 1005, 1083, 623, 11947, 3325, 188307, 236764, 1456, 1091, 573, 236743, 236778, 3794, 1492, 532, 2036, 14658, 236761, 95387, 659, 9650, 10498, 623, 25612, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 2364, 1083, 623, 115232, 2730, 594, 11822, 752, 236770, 236778, 236800, 23179, 3714, 25612, 236779, 547, 1083, 623, 124401, 236770, 236778, 236800, 236812, 236825, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 25612, 236779, 1005, 1083, 623, 8724, 533, 1698, 840, 506, 26616, 175790, 1308, 496, 2297, 529, 4841, 1161, 236761, 22759, 531, 77795, 625, 24473, 10498, 623, 25612, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 827, 623, 2364, 1083, 623, 17224, 111524, 236779, 236778, 236771, 236778, 236812, 23179, 3714, 25612, 236779, 547, 1083, 623, 124401, 236770, 236778, 236800, 236812, 236832, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 25612, 236779, 1005, 1083, 623, 60881, 1550, 573, 3273, 236888, 136007, 8103, 532, 104048, 1702, 236761, 50158, 10325, 573, 76325, 10498, 623, 25612, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 827, 623, 2364, 1083, 623, 56003, 236798, 1749, 236778, 236778, 25938, 1604, 623, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236764, 623, 6011, 1083, 3714, 11147, 236779, 30558, 1083, 11058, 54031, 42549, 827, 623, 90829, 742, 29690, 827, 623, 3135, 573, 3273, 14255, 623, 11147, 236779, 27851, 1083, 11058, 216590, 26616, 14510, 1024, 990, 827, 623, 107732, 8304, 1308, 35269, 1161, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 66850, 1083, 78493, 13126, 1083, 236743, 236812, 236764, 623, 1005, 1083, 623, 11947, 29690, 532, 14658, 42549, 236761, 29164, 573, 236743, 236800, 3794, 1492, 236764, 951, 219008, 3819, 236761, 95387, 1451, 577, 919, 104048, 10498, 623, 21052, 1083, 3714, 87622, 236779, 73769, 1083, 1847, 236764, 623, 142960, 236779, 63263, 1083, 236743, 236770, 236778, 5237, 3714, 13126, 1083, 236743, 236778, 236764, 623, 1005, 1083, 623, 236799, 10705, 1308, 236743, 236778, 5695, 529, 21037, 1161, 236761, 46911, 6060, 11906, 163341, 236761, 3790, 5367, 506, 3385, 10498, 623, 21052, 1083, 3714, 87622, 236779, 73769, 1083, 1847, 236764, 623, 142960, 236779, 63263, 1083, 236743, 236828, 5237, 3714, 13126, 1083, 236743, 236810, 236764, 623, 1005, 1083, 623, 60881, 5904, 573, 43167, 169288, 236888, 136007, 2016, 532, 9650, 29690, 236761, 21284, 5840, 10498, 623, 21052, 1083, 3714, 87622, 236779, 73769, 1083, 2416, 236764, 623, 142960, 236779, 63263, 1083, 236743, 236810, 1807, 1604, 623, 6011, 1083, 3714, 11147, 236779, 40400, 1083, 11058, 38682, 2109, 10928, 607, 8901, 6237, 827, 623, 148934, 113242, 27215, 827, 623, 19574, 236759, 44805, 6060, 1702, 15955, 4354, 14255, 623, 30558, 236779, 46569, 1083, 11058, 11947, 4068, 11910, 3736, 827, 623, 46600, 64315, 3385, 1523, 827, 623, 75393, 573, 2214, 49115, 9395, 152254, 623, 4000, 1083, 236743, 236778, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236812, 236832, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 18844, 529, 506, 1171, 1156, 7704, 529, 10595, 573, 506, 9593, 97372, 8231, 36256, 2625, 1731, 236787, 108, 1018, 19892, 15933, 2109, 51474, 53121, 107, 236772, 5213, 48084, 53121, 138, 107, 138, 240721, 55818, 42549, 14038, 7377, 573, 236743, 236778, 236772, 236800, 3794, 529, 4841, 1161, 138, 107, 138, 240721, 20012, 5431, 43605, 573, 91275, 16432, 528, 52472, 3439, 138, 107, 138, 240721, 131624, 29690, 573, 9239, 76325, 14845, 138, 108, 236772, 5213, 63702, 53121, 138, 107, 138, 244844, 75266, 157626, 4785, 1308, 236743, 236770, 2297, 568, 15979, 12040, 74721, 236768, 138, 107, 138, 244844, 46911, 6060, 39601, 10928, 568, 236770, 2430, 4785, 101692, 1308, 236743, 236778, 5695, 236768, 138, 107, 138, 244844, 43999, 8304, 6950, 528, 236743, 236778, 10595, 1308, 35269, 11690, 1161, 138, 108, 1018, 3503, 12774, 50914, 53121, 138, 107, 8409, 1346, 5089, 1586, 1239, 188307, 16111, 573, 2214, 236786, 114292, 7972, 1161, 568, 4060, 236743, 236832, 236771, 236908, 529, 10595, 14470, 236743, 236812, 236772, 236810, 8197, 779, 901, 1149, 711, 44411, 7274, 6376, 1161, 1024, 1440, 13443, 236761, 669, 8103, 42549, 2121, 1388, 14877, 236764, 840, 506, 8901, 6237, 532, 26616, 14510, 1407, 11005, 529, 8785, 11442, 1082, 13671, 4681, 236761, 1701, 4841, 1161, 236764, 33743, 9626, 568, 45241, 3999, 42549, 236764, 29029, 1308, 1161, 236768, 1149, 577, 3149, 2721, 580, 2430, 9871, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 11337, 11691, 1070, 1903, 36256, 188307, 699, 129696, 573, 1041, 7972, 236764, 840, 564, 1461, 531, 2426, 506, 10595, 1171, 236761, 669, 1698, 3104, 563, 4560, 1411, 2769, 236761, 36838, 61909, 236761, 854, 236786, 30053, 236772, 159836, 236772, 3991, 36256, 236772, 12053, 1731, 236786, 236758, 236786, 28567, 236828, 236819, 236832, 236800, 236778, 236770, 236812, 236810, 236771, 236770, 236761, 3199, 611, 33205, 506, 10595, 699, 506, 1171, 1156, 7704, 532, 49573, 506, 3364, 4342, 1331, 4928, 236881, 564, 236789, 236753, 1133, 531, 1281, 768, 901, 236789, 500, 22937, 3487, 573, 4841, 1161, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 66850, 1083, 78493, 25612, 236779, 547, 1083, 623, 124401, 236770, 236778, 236800, 236812, 236810, 827, 623, 13126, 1083, 236743, 236812, 236764, 623, 25612, 236779, 1005, 1083, 623, 11947, 3325, 188307, 236764, 1456, 1091, 573, 236743, 236778, 3794, 1492, 532, 2036, 14658, 236761, 95387, 659, 9650, 10498, 623, 25612, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 827, 623, 2364, 1083, 623, 115232, 2730, 594, 11822, 752, 236770, 236778, 236800, 23179, 3714, 25612, 236779, 547, 1083, 623, 124401, 236770, 236778, 236800, 236812, 236825, 827, 623, 13126, 1083, 236743, 236800, 236764, 623, 25612, 236779, 1005, 1083, 623, 8724, 533, 1698, 840, 506, 26616, 175790, 1308, 496, 2297, 529, 4841, 1161, 236761, 22759, 531, 77795, 625, 24473, 10498, 623, 25612, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236771, 827, 623, 2364, 1083, 623, 17224, 111524, 236779, 236778, 236771, 236778, 236812, 23179, 3714, 25612, 236779, 547, 1083, 623, 124401, 236770, 236778, 236800, 236812, 236832, 827, 623, 13126, 1083, 236743, 236810, 236764, 623, 25612, 236779, 1005, 1083, 623, 60881, 1550, 573, 3273, 236888, 136007, 8103, 532, 104048, 1702, 236761, 50158, 10325, 573, 76325, 10498, 623, 25612, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236828, 827, 623, 2364, 1083, 623, 56003, 236798, 1749, 236778, 236778, 25938, 1604, 623, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236800, 236764, 623, 6011, 1083, 3714, 11147, 236779, 30558, 1083, 11058, 54031, 42549, 827, 623, 90829, 742, 29690, 827, 623, 3135, 573, 3273, 14255, 623, 11147, 236779, 27851, 1083, 11058, 216590, 26616, 14510, 1024, 990, 827, 623, 107732, 8304, 1308, 35269, 1161, 1935, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 66850, 1083, 78493, 13126, 1083, 236743, 236812, 236764, 623, 1005, 1083, 623, 11947, 29690, 532, 14658, 42549, 236761, 29164, 573, 236743, 236800, 3794, 1492, 236764, 951, 219008, 3819, 236761, 95387, 1451, 577, 919, 104048, 10498, 623, 21052, 1083, 3714, 87622, 236779, 73769, 1083, 1847, 236764, 623, 142960, 236779, 63263, 1083, 236743, 236770, 236778, 5237, 3714, 13126, 1083, 236743, 236778, 236764, 623, 1005, 1083, 623, 236799, 10705, 1308, 236743, 236778, 5695, 529, 21037, 1161, 236761, 46911, 6060, 11906, 163341, 236761, 3790, 5367, 506, 3385, 10498, 623, 21052, 1083, 3714, 87622, 236779, 73769, 1083, 1847, 236764, 623, 142960, 236779, 63263, 1083, 236743, 236828, 5237, 3714, 13126, 1083, 236743, 236810, 236764, 623, 1005, 1083, 623, 60881, 5904, 573, 43167, 169288, 236888, 136007, 2016, 532, 9650, 29690, 236761, 21284, 5840, 10498, 623, 21052, 1083, 3714, 87622, 236779, 73769, 1083, 2416, 236764, 623, 142960, 236779, 63263, 1083, 236743, 236810, 1807, 1604, 623, 6011, 1083, 3714, 11147, 236779, 40400, 1083, 11058, 38682, 2109, 10928, 607, 8901, 6237, 827, 623, 148934, 113242, 27215, 827, 623, 19574, 236759, 44805, 6060, 1702, 15955, 4354, 14255, 623, 30558, 236779, 46569, 1083, 11058, 11947, 4068, 11910, 3736, 827, 623, 46600, 64315, 3385, 1523, 827, 623, 75393, 573, 2214, 49115, 9395, 152254, 623, 4000, 1083, 236743, 236778, 236764, 623, 6725, 236779, 66850, 1083, 236743, 236812, 236832, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 18844, 529, 506, 1171, 1156, 7704, 529, 10595, 573, 506, 9593, 97372, 8231, 36256, 2625, 1731, 236787, 108, 1018, 19892, 15933, 2109, 51474, 53121, 107, 236772, 5213, 48084, 53121, 138, 107, 138, 240721, 55818, 42549, 14038, 7377, 573, 236743, 236778, 236772, 236800, 3794, 529, 4841, 1161, 138, 107, 138, 240721, 20012, 5431, 43605, 573, 91275, 16432, 528, 52472, 3439, 138, 107, 138, 240721, 131624, 29690, 573, 9239, 76325, 14845, 138, 108, 236772, 5213, 63702, 53121, 138, 107, 138, 244844, 75266, 157626, 4785, 1308, 236743, 236770, 2297, 568, 15979, 12040, 74721, 236768, 138, 107, 138, 244844, 46911, 6060, 39601, 10928, 568, 236770, 2430, 4785, 101692, 1308, 236743, 236778, 5695, 236768, 138, 107, 138, 244844, 43999, 8304, 6950, 528, 236743, 236778, 10595, 1308, 35269, 11690, 1161, 138, 108, 1018, 3503, 12774, 50914, 53121, 138, 107, 8409, 1346, 5089, 1586, 1239, 188307, 16111, 573, 2214, 236786, 114292, 7972, 1161, 568, 4060, 236743, 236832, 236771, 236908, 529, 10595, 14470, 236743, 236812, 236772, 236810, 8197, 779, 901, 1149, 711, 44411, 7274, 6376, 1161, 1024, 1440, 13443, 236761, 669, 8103, 42549, 2121, 1388, 14877, 236764, 840, 506, 8901, 6237, 532, 26616, 14510, 1407, 11005, 529, 8785, 11442, 1082, 13671, 4681, 236761, 1701, 4841, 1161, 236764, 33743, 9626, 568, 45241, 3999, 42549, 236764, 29029, 1308, 1161, 236768, 1149, 577, 3149, 2721, 580, 2430, 9871, 236761, 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, 9795, 496, 4389, 544, 149141, 910, 4882, 2978, 532, 1202, 531, 1586, 14942, 11936, 528, 95282, 600, 6081, 5453, 236772, 33201, 4532, 15795, 236761, 28344, 611, 1161, 506, 4762, 236779, 64551, 236779, 10401, 5904, 531, 1586, 1239, 236881, 564, 236789, 236753, 1133, 4889, 1133, 19246, 236764, 3885, 236764, 532, 5149, 699, 22964, 95282, 236761, 28293, 573, 11936, 600, 10916, 1694, 756, 6848, 236772, 33201, 4532, 236789, 528, 910, 1698, 29141, 768, 2653, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 66325, 1083, 78493, 1201, 1083, 623, 32899, 21887, 72445, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 20690, 6718, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 24392, 1083, 3714, 236319, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236828, 236787, 236771, 236771, 827, 623, 236745, 9129, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236828, 236787, 236771, 236771, 827, 623, 25325, 9387, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236828, 236787, 236771, 236771, 827, 623, 594, 9109, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236819, 236787, 236771, 236771, 827, 623, 222044, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236828, 236787, 236771, 236771, 827, 623, 236751, 7605, 1083, 623, 236819, 236787, 236771, 236771, 236772, 236770, 236832, 236787, 236771, 236771, 827, 623, 229544, 1083, 623, 55395, 23179, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 827, 623, 6774, 1083, 623, 236752, 4842, 714, 236940, 30466, 54301, 236761, 854, 23179, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236778, 236764, 623, 17870, 1083, 11058, 6848, 236772, 33201, 4532, 827, 623, 27854, 16083, 7093, 14255, 623, 16518, 1083, 11058, 28213, 24438, 15283, 827, 623, 67299, 2487, 152254, 3714, 1201, 1083, 623, 41210, 236772, 66707, 101570, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 57743, 17463, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 24392, 1083, 3714, 236319, 1083, 623, 55395, 827, 623, 236745, 9129, 1083, 623, 236770, 236770, 236787, 236771, 236771, 236772, 236770, 236819, 236787, 236771, 236771, 827, 623, 25325, 9387, 1083, 623, 236770, 236770, 236787, 236771, 236771, 236772, 236770, 236819, 236787, 236771, 236771, 827, 623, 594, 9109, 1083, 623, 236770, 236770, 236787, 236771, 236771, 236772, 236770, 236819, 236787, 236771, 236771, 827, 623, 222044, 1083, 623, 236770, 236770, 236787, 236771, 236771, 236772, 236770, 236828, 236787, 236771, 236771, 827, 623, 236751, 7605, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236825, 236787, 236771, 236771, 827, 623, 229544, 1083, 623, 55395, 23179, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 827, 623, 6774, 1083, 623, 6848, 33201, 236940, 1999, 1229, 236761, 854, 23179, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236761, 236832, 236764, 623, 17870, 1083, 11058, 6848, 236772, 33201, 4532, 827, 623, 63926, 15408, 14255, 623, 16518, 1083, 11058, 7128, 33306, 827, 623, 20593, 22388, 152254, 3714, 1201, 1083, 623, 236798, 4842, 714, 6863, 36047, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 18093, 6718, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 24392, 1083, 3714, 236319, 1083, 623, 236819, 236787, 236800, 236771, 236772, 236770, 236832, 236787, 236800, 236771, 827, 623, 236745, 9129, 1083, 623, 236819, 236787, 236800, 236771, 236772, 236770, 236832, 236787, 236800, 236771, 827, 623, 25325, 9387, 1083, 623, 236819, 236787, 236800, 236771, 236772, 236770, 236832, 236787, 236800, 236771, 827, 623, 594, 9109, 1083, 623, 236819, 236787, 236800, 236771, 236772, 236770, 236832, 236787, 236800, 236771, 827, 623, 222044, 1083, 623, 236819, 236787, 236800, 236771, 236772, 236770, 236832, 236787, 236771, 236771, 827, 623, 236751, 7605, 1083, 623, 236819, 236787, 236771, 236771, 236772, 236770, 236810, 236787, 236771, 236771, 827, 623, 229544, 1083, 623, 55395, 23179, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236828, 236832, 236825, 236810, 827, 623, 6774, 1083, 623, 3906, 236940, 236752, 4842, 714, 13994, 524, 1050, 504, 236761, 854, 23179, 623, 17178, 236779, 100403, 1083, 236743, 236800, 236761, 236810, 236764, 623, 17870, 1083, 11058, 6848, 236772, 33201, 4532, 827, 623, 71758, 6310, 14255, 623, 16518, 1083, 11058, 1643, 1886, 754, 35312, 827, 623, 9707, 16590, 1935, 165075, 106, 107, 105, 4368, 107, 8291, 659, 236743, 236800, 95282, 11936, 600, 6081, 5453, 236772, 33201, 4532, 15795, 236764, 19372, 684, 33417, 531, 22964, 236787, 108, 236770, 236761, 5213, 32899, 21887, 72445, 1018, 138, 107, 139, 244343, 236743, 236770, 236778, 236800, 20690, 6718, 568, 236770, 236761, 236778, 7635, 699, 22964, 236768, 138, 107, 139, 252074, 35174, 236787, 4325, 236772, 120053, 236743, 236770, 236771, 236772, 236770, 236828, 236764, 61963, 236743, 236770, 236771, 236772, 236770, 236828, 236764, 15872, 236743, 236819, 236772, 236770, 236832, 138, 107, 139, 246080, 568, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 1109, 236743, 249979, 151122, 714, 236940, 30466, 54301, 236761, 854, 138, 107, 139, 27144, 236787, 50776, 24438, 15283, 236764, 12660, 2487, 138, 107, 139, 23244, 5411, 528, 236787, 14537, 236772, 33201, 4532, 236764, 11285, 16083, 7093, 138, 108, 236778, 236761, 5213, 41210, 236772, 66707, 101570, 1018, 138, 107, 139, 244343, 236743, 236812, 236810, 236825, 57743, 17463, 568, 236778, 236761, 236832, 7635, 699, 22964, 236768, 138, 107, 139, 252074, 35174, 236787, 119428, 236772, 120053, 236743, 236770, 236770, 236772, 236770, 236819, 236764, 61963, 236743, 236770, 236770, 236772, 236770, 236828, 236764, 15872, 236743, 236770, 236771, 236772, 236770, 236825, 138, 107, 139, 246080, 568, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 1109, 236743, 249979, 5453, 33201, 236940, 1999, 1229, 236761, 854, 138, 107, 139, 27144, 236787, 19782, 33306, 236764, 1702, 22388, 138, 107, 139, 23244, 5411, 528, 236787, 14537, 236772, 33201, 4532, 236764, 15341, 15408, 138, 108, 236800, 236761, 5213, 236798, 4842, 714, 6863, 36047, 1018, 138, 107, 139, 244343, 236743, 236832, 236828, 236819, 18093, 6718, 568, 236800, 236761, 236810, 7635, 699, 22964, 236768, 138, 107, 139, 252074, 35174, 236787, 4325, 236772, 32035, 236743, 236819, 236787, 236800, 236771, 236772, 236770, 236832, 236787, 236800, 236771, 236764, 60726, 236772, 110239, 236743, 236819, 236787, 236800, 236771, 236772, 236770, 236832, 236764, 15872, 236743, 236819, 236772, 236770, 236810, 138, 107, 139, 246080, 568, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236828, 236832, 236825, 236810, 1109, 236743, 249979, 8283, 236940, 236752, 4842, 714, 13994, 524, 1050, 504, 236761, 854, 138, 107, 139, 27144, 236787, 11094, 1886, 754, 35312, 236764, 3385, 16590, 138, 107, 139, 23244, 5411, 528, 236787, 14537, 236772, 33201, 4532, 236764, 8459, 6310, 138, 108, 3243, 11024, 735, 18241, 16590, 623, 6848, 236772, 33201, 4532, 236775, 528, 910, 1698, 29141, 236761, 21284, 611, 1133, 919, 4889, 1003, 1027, 3530, 4762, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 59638, 506, 3927, 3342, 236761, 28344, 611, 1161, 4762, 236779, 64551, 236779, 10401, 1570, 531, 5957, 1239, 95282, 5453, 236772, 33201, 4532, 15795, 11936, 684, 1724, 600, 2729, 1702, 22388, 3019, 532, 735, 9735, 3885, 3068, 236743, 236810, 8711, 236881, 3551, 4389, 4146, 5226, 532, 3548, 14887, 39252, 3835, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 6457, 236779, 547, 1083, 236743, 236812, 236810, 236825, 236764, 623, 1201, 1083, 623, 32899, 21887, 15237, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 57743, 18977, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 117468, 236779, 24392, 1083, 3714, 197768, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 827, 623, 174749, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236771, 236771, 8711, 23179, 623, 6457, 236779, 16518, 1083, 11058, 20593, 236779, 34697, 567, 827, 623, 495, 236779, 8147, 236779, 20593, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236761, 236770, 236764, 623, 5930, 236779, 56905, 1083, 3714, 6848, 236772, 33201, 4532, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 14973, 236779, 2861, 1083, 236743, 236770, 236778, 112679, 3714, 6457, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236764, 623, 1201, 1083, 623, 66057, 43634, 1044, 1013, 827, 623, 7720, 1083, 623, 236800, 236778, 236770, 20690, 842, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 117468, 236779, 24392, 1083, 3714, 197768, 1083, 623, 236770, 236770, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236800, 236771, 8711, 827, 623, 174749, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 23179, 623, 6457, 236779, 16518, 1083, 11058, 20593, 236779, 34697, 567, 827, 623, 31729, 236779, 15897, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236800, 236761, 236812, 236764, 623, 5930, 236779, 56905, 1083, 3714, 6848, 236772, 33201, 4532, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 14973, 236779, 2861, 1083, 236743, 236828, 19465, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 236798, 4842, 714, 236764, 15237, 827, 623, 5930, 236779, 57217, 1083, 623, 6848, 236772, 33201, 4532, 827, 623, 6457, 236779, 16518, 1083, 11058, 20593, 236779, 34697, 567, 14255, 623, 40835, 236779, 2003, 1083, 623, 117468, 236779, 24392, 127096, 106, 107, 105, 4368, 107, 8291, 659, 95282, 11936, 68916, 528, 5453, 236772, 33201, 4532, 15795, 600, 2729, 1702, 22388, 3019, 532, 9239, 9735, 3885, 236787, 108, 236770, 236761, 5213, 32899, 21887, 15237, 1018, 138, 107, 139, 244343, 236743, 236832, 236828, 236819, 57743, 18977, 568, 236778, 236761, 236770, 7635, 699, 22964, 236768, 138, 107, 139, 252074, 77623, 35174, 236787, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 138, 107, 139, 252074, 13444, 1496, 35174, 236787, 236743, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236771, 236771, 8711, 138, 107, 139, 246533, 25772, 236787, 7803, 22388, 236764, 528, 236772, 8147, 1702, 3019, 138, 107, 139, 246727, 14537, 236772, 33201, 4532, 18241, 236787, 236743, 236770, 236778, 4852, 528, 2862, 138, 108, 236778, 236761, 5213, 66057, 43634, 1044, 1013, 1018, 138, 107, 139, 244343, 236743, 236800, 236778, 236770, 20690, 842, 568, 236800, 236761, 236812, 7635, 699, 22964, 236768, 138, 107, 139, 252074, 77623, 35174, 236787, 236743, 236770, 236770, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236800, 236771, 8711, 138, 107, 139, 252074, 13444, 1496, 35174, 236787, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 138, 107, 139, 246533, 25772, 236787, 7803, 22388, 236764, 14510, 3019, 138, 107, 139, 246727, 14537, 236772, 33201, 4532, 18241, 236787, 236743, 236828, 4852, 528, 2862, 138, 108, 22186, 11024, 25430, 5226, 30916, 607, 9735, 15830, 3068, 236743, 236810, 8711, 236761, 21284, 611, 1133, 1601, 57416, 3477, 4762, 573, 15043, 39252, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 3835, 236888, 28344, 611, 2847, 506, 3662, 4889, 1570, 573, 1800, 13806, 21887, 15237, 532, 26762, 43634, 1044, 1013, 236881, 564, 236789, 236753, 1133, 531, 10769, 910, 15830, 1680, 39252, 496, 22388, 573, 1041, 4389, 236761, 6542, 236764, 776, 3477, 529, 1239, 11936, 735, 3489, 22479, 3797, 12809, 531, 910, 17909, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6457, 236779, 1201, 1083, 623, 32899, 21887, 15237, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 11607, 236779, 3906, 1083, 3714, 5275, 1083, 623, 236825, 236800, 236771, 236772, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 827, 623, 6774, 1083, 623, 3906, 236940, 30466, 54301, 543, 236761, 854, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 30466, 54301, 543, 236761, 854, 236786, 61823, 23179, 623, 117468, 236779, 24392, 1083, 3714, 49381, 236772, 45262, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 827, 623, 46325, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236771, 236771, 8711, 827, 623, 48049, 1083, 623, 55395, 23179, 623, 5594, 236779, 23557, 236779, 61823, 1083, 1847, 236764, 623, 61823, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30466, 54301, 543, 236761, 854, 236786, 61823, 827, 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, 108, 236840, 7741, 11130, 236842, 107, 14937, 66325, 1083, 78493, 1201, 1083, 623, 66057, 43634, 1044, 1013, 753, 95282, 6400, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 57743, 6718, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 117468, 236779, 24392, 1083, 3714, 49381, 236772, 45262, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 827, 623, 46325, 1083, 623, 236770, 236770, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236771, 236771, 8711, 827, 623, 48049, 1083, 623, 55395, 23179, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 827, 623, 6774, 1083, 623, 236752, 4842, 714, 236940, 8819, 89949, 1044, 1013, 236761, 854, 827, 623, 31935, 1083, 623, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 236752, 4842, 714, 23179, 623, 23557, 236779, 61823, 1083, 3714, 18700, 1083, 1847, 236764, 623, 61823, 236779, 2883, 1083, 623, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 3070, 236772, 34697, 567, 236775, 5237, 3714, 1201, 1083, 623, 66057, 43634, 1044, 1013, 753, 95282, 7123, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 20690, 17463, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 117468, 236779, 24392, 1083, 3714, 49381, 236772, 45262, 1083, 623, 236819, 236787, 236800, 236771, 8151, 753, 236743, 236825, 236787, 236800, 236771, 8711, 827, 623, 46325, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236810, 236787, 236771, 236771, 8711, 827, 623, 48049, 1083, 623, 55395, 23179, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 827, 623, 6774, 1083, 623, 42147, 236752, 4842, 714, 236940, 8819, 89949, 1044, 1013, 236761, 854, 827, 623, 31935, 1083, 623, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 236752, 4842, 714, 236772, 42147, 23179, 623, 23557, 236779, 61823, 1083, 3714, 18700, 1083, 1847, 236764, 623, 61823, 236779, 2883, 1083, 623, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 3070, 236772, 34697, 567, 236772, 42147, 127096, 1604, 623, 2763, 37755, 1083, 623, 32899, 21887, 15237, 563, 711, 1765, 528, 1023, 1873, 4762, 12229, 236761, 7323, 16807, 506, 4762, 1463, 653, 3662, 4889, 607, 506, 2430, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 27662, 3662, 4889, 532, 22479, 3835, 573, 1800, 11936, 236787, 108, 1018, 32899, 21887, 15237, 1018, 138, 107, 244343, 15874, 236787, 236743, 236770, 236778, 236800, 6400, 842, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 138, 107, 246080, 23386, 236787, 236743, 236825, 236800, 236771, 236772, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 138, 107, 249979, 19955, 236787, 8283, 236940, 30466, 54301, 543, 236761, 854, 138, 107, 246978, 21124, 236787, 870, 30466, 54301, 543, 236761, 854, 236786, 61823, 5457, 2574, 1411, 2769, 236761, 30466, 54301, 543, 236761, 854, 236786, 61823, 236768, 138, 107, 240732, 13118, 66591, 236787, 18326, 4323, 910, 4456, 138, 107, 252074, 42841, 35174, 236787, 4325, 236772, 110239, 236743, 236770, 236771, 8151, 236772, 236832, 8711, 236764, 15872, 236743, 236770, 236771, 8151, 236772, 236825, 8711, 138, 108, 1018, 66057, 43634, 1044, 1013, 1018, 138, 107, 244343, 8512, 95282, 92536, 236787, 138, 107, 236770, 236761, 5213, 7765, 21617, 66515, 236743, 236770, 236778, 236800, 57743, 6718, 138, 107, 139, 246080, 568, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 1109, 236743, 249979, 151122, 714, 236940, 8819, 89949, 1044, 1013, 236761, 854, 138, 107, 139, 246978, 870, 8819, 89949, 1044, 1013, 236761, 854, 236786, 236752, 4842, 714, 5457, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 236752, 4842, 714, 236768, 138, 107, 139, 249460, 13118, 66591, 236787, 870, 9020, 5715, 5457, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 3070, 236772, 34697, 567, 236768, 138, 108, 236778, 236761, 5213, 36257, 21617, 66515, 236743, 236812, 236810, 236825, 20690, 17463, 138, 107, 139, 246080, 568, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 1109, 236743, 249979, 13512, 236752, 4842, 714, 236940, 8819, 89949, 1044, 1013, 236761, 854, 138, 107, 139, 246978, 870, 8819, 89949, 1044, 1013, 236761, 854, 236786, 236752, 4842, 714, 236772, 42147, 5457, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 236752, 4842, 714, 236772, 42147, 236768, 138, 107, 139, 249460, 13118, 66591, 236787, 870, 9020, 5715, 5457, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 3070, 236772, 34697, 567, 236772, 42147, 236768, 138, 108, 1018, 10282, 66515, 669, 13806, 21887, 15237, 3421, 35428, 8427, 699, 506, 3527, 3927, 1354, 568, 79681, 842, 7728, 236761, 57743, 18977, 769, 1174, 1451, 10128, 3477, 496, 4803, 66728, 653, 47341, 1262, 7021, 236761, 21284, 611, 1133, 786, 531, 4071, 236772, 41253, 672, 1938, 1343, 2264, 7102, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 9795, 496, 4389, 544, 149141, 910, 4882, 2978, 532, 1202, 531, 1586, 14942, 11936, 528, 95282, 600, 6081, 5453, 236772, 33201, 4532, 15795, 236761, 28344, 611, 1161, 506, 4762, 236779, 64551, 236779, 10401, 5904, 531, 1586, 1239, 236881, 564, 236789, 236753, 1133, 4889, 1133, 19246, 236764, 3885, 236764, 532, 5149, 699, 22964, 95282, 236761, 28293, 573, 11936, 600, 10916, 1694, 756, 6848, 236772, 33201, 4532, 236789, 528, 910, 1698, 29141, 768, 2653, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 6725, 236779, 12103, 1083, 236743, 236800, 236764, 623, 66325, 1083, 78493, 1201, 1083, 623, 32899, 21887, 72445, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 20690, 6718, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 24392, 1083, 3714, 236319, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236828, 236787, 236771, 236771, 827, 623, 236745, 9129, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236828, 236787, 236771, 236771, 827, 623, 25325, 9387, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236828, 236787, 236771, 236771, 827, 623, 594, 9109, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236819, 236787, 236771, 236771, 827, 623, 222044, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236828, 236787, 236771, 236771, 827, 623, 236751, 7605, 1083, 623, 236819, 236787, 236771, 236771, 236772, 236770, 236832, 236787, 236771, 236771, 827, 623, 229544, 1083, 623, 55395, 23179, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 827, 623, 6774, 1083, 623, 236752, 4842, 714, 236940, 30466, 54301, 236761, 854, 23179, 623, 17178, 236779, 100403, 1083, 236743, 236770, 236761, 236778, 236764, 623, 17870, 1083, 11058, 6848, 236772, 33201, 4532, 827, 623, 27854, 16083, 7093, 14255, 623, 16518, 1083, 11058, 28213, 24438, 15283, 827, 623, 67299, 2487, 152254, 3714, 1201, 1083, 623, 41210, 236772, 66707, 101570, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 57743, 17463, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 24392, 1083, 3714, 236319, 1083, 623, 55395, 827, 623, 236745, 9129, 1083, 623, 236770, 236770, 236787, 236771, 236771, 236772, 236770, 236819, 236787, 236771, 236771, 827, 623, 25325, 9387, 1083, 623, 236770, 236770, 236787, 236771, 236771, 236772, 236770, 236819, 236787, 236771, 236771, 827, 623, 594, 9109, 1083, 623, 236770, 236770, 236787, 236771, 236771, 236772, 236770, 236819, 236787, 236771, 236771, 827, 623, 222044, 1083, 623, 236770, 236770, 236787, 236771, 236771, 236772, 236770, 236828, 236787, 236771, 236771, 827, 623, 236751, 7605, 1083, 623, 236770, 236771, 236787, 236771, 236771, 236772, 236770, 236825, 236787, 236771, 236771, 827, 623, 229544, 1083, 623, 55395, 23179, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 827, 623, 6774, 1083, 623, 6848, 33201, 236940, 1999, 1229, 236761, 854, 23179, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236761, 236832, 236764, 623, 17870, 1083, 11058, 6848, 236772, 33201, 4532, 827, 623, 63926, 15408, 14255, 623, 16518, 1083, 11058, 7128, 33306, 827, 623, 20593, 22388, 152254, 3714, 1201, 1083, 623, 236798, 4842, 714, 6863, 36047, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 18093, 6718, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 24392, 1083, 3714, 236319, 1083, 623, 236819, 236787, 236800, 236771, 236772, 236770, 236832, 236787, 236800, 236771, 827, 623, 236745, 9129, 1083, 623, 236819, 236787, 236800, 236771, 236772, 236770, 236832, 236787, 236800, 236771, 827, 623, 25325, 9387, 1083, 623, 236819, 236787, 236800, 236771, 236772, 236770, 236832, 236787, 236800, 236771, 827, 623, 594, 9109, 1083, 623, 236819, 236787, 236800, 236771, 236772, 236770, 236832, 236787, 236800, 236771, 827, 623, 222044, 1083, 623, 236819, 236787, 236800, 236771, 236772, 236770, 236832, 236787, 236771, 236771, 827, 623, 236751, 7605, 1083, 623, 236819, 236787, 236771, 236771, 236772, 236770, 236810, 236787, 236771, 236771, 827, 623, 229544, 1083, 623, 55395, 23179, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236828, 236832, 236825, 236810, 827, 623, 6774, 1083, 623, 3906, 236940, 236752, 4842, 714, 13994, 524, 1050, 504, 236761, 854, 23179, 623, 17178, 236779, 100403, 1083, 236743, 236800, 236761, 236810, 236764, 623, 17870, 1083, 11058, 6848, 236772, 33201, 4532, 827, 623, 71758, 6310, 14255, 623, 16518, 1083, 11058, 1643, 1886, 754, 35312, 827, 623, 9707, 16590, 1935, 165075, 106, 107, 105, 4368, 107, 8291, 659, 236743, 236800, 95282, 11936, 600, 6081, 5453, 236772, 33201, 4532, 15795, 236764, 19372, 684, 33417, 531, 22964, 236787, 108, 236770, 236761, 5213, 32899, 21887, 72445, 1018, 138, 107, 139, 244343, 236743, 236770, 236778, 236800, 20690, 6718, 568, 236770, 236761, 236778, 7635, 699, 22964, 236768, 138, 107, 139, 252074, 35174, 236787, 4325, 236772, 120053, 236743, 236770, 236771, 236772, 236770, 236828, 236764, 61963, 236743, 236770, 236771, 236772, 236770, 236828, 236764, 15872, 236743, 236819, 236772, 236770, 236832, 138, 107, 139, 246080, 568, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 1109, 236743, 249979, 151122, 714, 236940, 30466, 54301, 236761, 854, 138, 107, 139, 27144, 236787, 50776, 24438, 15283, 236764, 12660, 2487, 138, 107, 139, 23244, 5411, 528, 236787, 14537, 236772, 33201, 4532, 236764, 11285, 16083, 7093, 138, 108, 236778, 236761, 5213, 41210, 236772, 66707, 101570, 1018, 138, 107, 139, 244343, 236743, 236812, 236810, 236825, 57743, 17463, 568, 236778, 236761, 236832, 7635, 699, 22964, 236768, 138, 107, 139, 252074, 35174, 236787, 119428, 236772, 120053, 236743, 236770, 236770, 236772, 236770, 236819, 236764, 61963, 236743, 236770, 236770, 236772, 236770, 236828, 236764, 15872, 236743, 236770, 236771, 236772, 236770, 236825, 138, 107, 139, 246080, 568, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 1109, 236743, 249979, 5453, 33201, 236940, 1999, 1229, 236761, 854, 138, 107, 139, 27144, 236787, 19782, 33306, 236764, 1702, 22388, 138, 107, 139, 23244, 5411, 528, 236787, 14537, 236772, 33201, 4532, 236764, 15341, 15408, 138, 108, 236800, 236761, 5213, 236798, 4842, 714, 6863, 36047, 1018, 138, 107, 139, 244343, 236743, 236832, 236828, 236819, 18093, 6718, 568, 236800, 236761, 236810, 7635, 699, 22964, 236768, 138, 107, 139, 252074, 35174, 236787, 4325, 236772, 32035, 236743, 236819, 236787, 236800, 236771, 236772, 236770, 236832, 236787, 236800, 236771, 236764, 60726, 236772, 110239, 236743, 236819, 236787, 236800, 236771, 236772, 236770, 236832, 236764, 15872, 236743, 236819, 236772, 236770, 236810, 138, 107, 139, 246080, 568, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236828, 236832, 236825, 236810, 1109, 236743, 249979, 8283, 236940, 236752, 4842, 714, 13994, 524, 1050, 504, 236761, 854, 138, 107, 139, 27144, 236787, 11094, 1886, 754, 35312, 236764, 3385, 16590, 138, 107, 139, 23244, 5411, 528, 236787, 14537, 236772, 33201, 4532, 236764, 8459, 6310, 138, 108, 3243, 11024, 735, 18241, 16590, 623, 6848, 236772, 33201, 4532, 236775, 528, 910, 1698, 29141, 236761, 21284, 611, 1133, 919, 4889, 1003, 1027, 3530, 4762, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 59638, 506, 3927, 3342, 236761, 28344, 611, 1161, 4762, 236779, 64551, 236779, 10401, 1570, 531, 5957, 1239, 95282, 5453, 236772, 33201, 4532, 15795, 11936, 684, 1724, 600, 2729, 1702, 22388, 3019, 532, 735, 9735, 3885, 3068, 236743, 236810, 8711, 236881, 3551, 4389, 4146, 5226, 532, 3548, 14887, 39252, 3835, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 6457, 236779, 547, 1083, 236743, 236812, 236810, 236825, 236764, 623, 1201, 1083, 623, 32899, 21887, 15237, 827, 623, 7720, 1083, 623, 236832, 236828, 236819, 57743, 18977, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 117468, 236779, 24392, 1083, 3714, 197768, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 827, 623, 174749, 1083, 623, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236771, 236771, 8711, 23179, 623, 6457, 236779, 16518, 1083, 11058, 20593, 236779, 34697, 567, 827, 623, 495, 236779, 8147, 236779, 20593, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236778, 236761, 236770, 236764, 623, 5930, 236779, 56905, 1083, 3714, 6848, 236772, 33201, 4532, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 14973, 236779, 2861, 1083, 236743, 236770, 236778, 112679, 3714, 6457, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236764, 623, 1201, 1083, 623, 66057, 43634, 1044, 1013, 827, 623, 7720, 1083, 623, 236800, 236778, 236770, 20690, 842, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 117468, 236779, 24392, 1083, 3714, 197768, 1083, 623, 236770, 236770, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236800, 236771, 8711, 827, 623, 174749, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 23179, 623, 6457, 236779, 16518, 1083, 11058, 20593, 236779, 34697, 567, 827, 623, 31729, 236779, 15897, 14255, 623, 17178, 236779, 100403, 1083, 236743, 236800, 236761, 236812, 236764, 623, 5930, 236779, 56905, 1083, 3714, 6848, 236772, 33201, 4532, 1083, 3714, 495, 236779, 14973, 1083, 1847, 236764, 623, 14973, 236779, 2861, 1083, 236743, 236828, 19465, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236778, 236764, 623, 28881, 236779, 103411, 1083, 3714, 7125, 1083, 623, 236798, 4842, 714, 236764, 15237, 827, 623, 5930, 236779, 57217, 1083, 623, 6848, 236772, 33201, 4532, 827, 623, 6457, 236779, 16518, 1083, 11058, 20593, 236779, 34697, 567, 14255, 623, 40835, 236779, 2003, 1083, 623, 117468, 236779, 24392, 127096, 106, 107, 105, 4368, 107, 8291, 659, 95282, 11936, 68916, 528, 5453, 236772, 33201, 4532, 15795, 600, 2729, 1702, 22388, 3019, 532, 9239, 9735, 3885, 236787, 108, 236770, 236761, 5213, 32899, 21887, 15237, 1018, 138, 107, 139, 244343, 236743, 236832, 236828, 236819, 57743, 18977, 568, 236778, 236761, 236770, 7635, 699, 22964, 236768, 138, 107, 139, 252074, 77623, 35174, 236787, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 138, 107, 139, 252074, 13444, 1496, 35174, 236787, 236743, 236819, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236771, 236771, 8711, 138, 107, 139, 246533, 25772, 236787, 7803, 22388, 236764, 528, 236772, 8147, 1702, 3019, 138, 107, 139, 246727, 14537, 236772, 33201, 4532, 18241, 236787, 236743, 236770, 236778, 4852, 528, 2862, 138, 108, 236778, 236761, 5213, 66057, 43634, 1044, 1013, 1018, 138, 107, 139, 244343, 236743, 236800, 236778, 236770, 20690, 842, 568, 236800, 236761, 236812, 7635, 699, 22964, 236768, 138, 107, 139, 252074, 77623, 35174, 236787, 236743, 236770, 236770, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236800, 236771, 8711, 138, 107, 139, 252074, 13444, 1496, 35174, 236787, 236743, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 138, 107, 139, 246533, 25772, 236787, 7803, 22388, 236764, 14510, 3019, 138, 107, 139, 246727, 14537, 236772, 33201, 4532, 18241, 236787, 236743, 236828, 4852, 528, 2862, 138, 108, 22186, 11024, 25430, 5226, 30916, 607, 9735, 15830, 3068, 236743, 236810, 8711, 236761, 21284, 611, 1133, 1601, 57416, 3477, 4762, 573, 15043, 39252, 236881, 106, 107, 105, 2364, 107, 12879, 573, 506, 3835, 236888, 28344, 611, 2847, 506, 3662, 4889, 1570, 573, 1800, 13806, 21887, 15237, 532, 26762, 43634, 1044, 1013, 236881, 564, 236789, 236753, 1133, 531, 10769, 910, 15830, 1680, 39252, 496, 22388, 573, 1041, 4389, 236761, 6542, 236764, 776, 3477, 529, 1239, 11936, 735, 3489, 22479, 3797, 12809, 531, 910, 17909, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6457, 236779, 1201, 1083, 623, 32899, 21887, 15237, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 6400, 842, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 11607, 236779, 3906, 1083, 3714, 5275, 1083, 623, 236825, 236800, 236771, 236772, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 827, 623, 6774, 1083, 623, 3906, 236940, 30466, 54301, 543, 236761, 854, 827, 623, 31935, 1083, 623, 2574, 1411, 2769, 236761, 30466, 54301, 543, 236761, 854, 236786, 61823, 23179, 623, 117468, 236779, 24392, 1083, 3714, 49381, 236772, 45262, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 827, 623, 46325, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236771, 236771, 8711, 827, 623, 48049, 1083, 623, 55395, 23179, 623, 5594, 236779, 23557, 236779, 61823, 1083, 1847, 236764, 623, 61823, 236779, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30466, 54301, 543, 236761, 854, 236786, 61823, 827, 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, 108, 236840, 7741, 11130, 236842, 107, 14937, 66325, 1083, 78493, 1201, 1083, 623, 66057, 43634, 1044, 1013, 753, 95282, 6400, 827, 623, 7720, 1083, 623, 236770, 236778, 236800, 57743, 6718, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 117468, 236779, 24392, 1083, 3714, 49381, 236772, 45262, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236832, 236787, 236771, 236771, 8711, 827, 623, 46325, 1083, 623, 236770, 236770, 236787, 236771, 236771, 8151, 753, 236743, 236825, 236787, 236771, 236771, 8711, 827, 623, 48049, 1083, 623, 55395, 23179, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 827, 623, 6774, 1083, 623, 236752, 4842, 714, 236940, 8819, 89949, 1044, 1013, 236761, 854, 827, 623, 31935, 1083, 623, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 236752, 4842, 714, 23179, 623, 23557, 236779, 61823, 1083, 3714, 18700, 1083, 1847, 236764, 623, 61823, 236779, 2883, 1083, 623, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 3070, 236772, 34697, 567, 236775, 5237, 3714, 1201, 1083, 623, 66057, 43634, 1044, 1013, 753, 95282, 7123, 827, 623, 7720, 1083, 623, 236812, 236810, 236825, 20690, 17463, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 827, 623, 117468, 236779, 24392, 1083, 3714, 49381, 236772, 45262, 1083, 623, 236819, 236787, 236800, 236771, 8151, 753, 236743, 236825, 236787, 236800, 236771, 8711, 827, 623, 46325, 1083, 623, 236770, 236771, 236787, 236771, 236771, 8151, 753, 236743, 236810, 236787, 236771, 236771, 8711, 827, 623, 48049, 1083, 623, 55395, 23179, 623, 11607, 1083, 3714, 5275, 1083, 33865, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 827, 623, 6774, 1083, 623, 42147, 236752, 4842, 714, 236940, 8819, 89949, 1044, 1013, 236761, 854, 827, 623, 31935, 1083, 623, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 236752, 4842, 714, 236772, 42147, 23179, 623, 23557, 236779, 61823, 1083, 3714, 18700, 1083, 1847, 236764, 623, 61823, 236779, 2883, 1083, 623, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 3070, 236772, 34697, 567, 236772, 42147, 127096, 1604, 623, 2763, 37755, 1083, 623, 32899, 21887, 15237, 563, 711, 1765, 528, 1023, 1873, 4762, 12229, 236761, 7323, 16807, 506, 4762, 1463, 653, 3662, 4889, 607, 506, 2430, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 27662, 3662, 4889, 532, 22479, 3835, 573, 1800, 11936, 236787, 108, 1018, 32899, 21887, 15237, 1018, 138, 107, 244343, 15874, 236787, 236743, 236770, 236778, 236800, 6400, 842, 236764, 95282, 236764, 15237, 236743, 236825, 236771, 236770, 236812, 236828, 138, 107, 246080, 23386, 236787, 236743, 236825, 236800, 236771, 236772, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 138, 107, 249979, 19955, 236787, 8283, 236940, 30466, 54301, 543, 236761, 854, 138, 107, 246978, 21124, 236787, 870, 30466, 54301, 543, 236761, 854, 236786, 61823, 5457, 2574, 1411, 2769, 236761, 30466, 54301, 543, 236761, 854, 236786, 61823, 236768, 138, 107, 240732, 13118, 66591, 236787, 18326, 4323, 910, 4456, 138, 107, 252074, 42841, 35174, 236787, 4325, 236772, 110239, 236743, 236770, 236771, 8151, 236772, 236832, 8711, 236764, 15872, 236743, 236770, 236771, 8151, 236772, 236825, 8711, 138, 108, 1018, 66057, 43634, 1044, 1013, 1018, 138, 107, 244343, 8512, 95282, 92536, 236787, 138, 107, 236770, 236761, 5213, 7765, 21617, 66515, 236743, 236770, 236778, 236800, 57743, 6718, 138, 107, 139, 246080, 568, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236770, 236778, 236800, 236812, 1109, 236743, 249979, 151122, 714, 236940, 8819, 89949, 1044, 1013, 236761, 854, 138, 107, 139, 246978, 870, 8819, 89949, 1044, 1013, 236761, 854, 236786, 236752, 4842, 714, 5457, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 236752, 4842, 714, 236768, 138, 107, 139, 249460, 13118, 66591, 236787, 870, 9020, 5715, 5457, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 3070, 236772, 34697, 567, 236768, 138, 108, 236778, 236761, 5213, 36257, 21617, 66515, 236743, 236812, 236810, 236825, 20690, 17463, 138, 107, 139, 246080, 568, 236825, 236800, 236771, 236768, 236743, 236810, 236810, 236810, 236772, 236810, 236825, 236832, 236828, 1109, 236743, 249979, 13512, 236752, 4842, 714, 236940, 8819, 89949, 1044, 1013, 236761, 854, 138, 107, 139, 246978, 870, 8819, 89949, 1044, 1013, 236761, 854, 236786, 236752, 4842, 714, 236772, 42147, 5457, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 236752, 4842, 714, 236772, 42147, 236768, 138, 107, 139, 249460, 13118, 66591, 236787, 870, 9020, 5715, 5457, 2574, 1411, 8819, 89949, 1044, 1013, 236761, 854, 236786, 3070, 236772, 34697, 567, 236772, 42147, 236768, 138, 108, 1018, 10282, 66515, 669, 13806, 21887, 15237, 3421, 35428, 8427, 699, 506, 3527, 3927, 1354, 568, 79681, 842, 7728, 236761, 57743, 18977, 769, 1174, 1451, 10128, 3477, 496, 4803, 66728, 653, 47341, 1262, 7021, 236761, 21284, 611, 1133, 786, 531, 4071, 236772, 41253, 672, 1938, 1343, 2264, 7102, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 506, 3399, 7972, 2203, 657, 506, 9550, 3988, 236761, 5315, 236764, 564, 1461, 531, 2426, 506, 1873, 4981, 529, 784, 1023, 9413, 531, 1386, 2889, 4326, 236789, 236751, 528, 1900, 573, 506, 16038, 14369, 2436, 236761, 4298, 236764, 768, 993, 659, 1027, 14143, 4342, 236764, 564, 1202, 496, 2072, 41671, 1144, 236789, 236751, 9724, 653, 44911, 236761, 13472, 236764, 564, 236789, 236753, 1133, 496, 12323, 531, 1861, 657, 506, 2148, 5395, 834, 692, 740, 3421, 1027, 4078, 532, 2514, 506, 2203, 6049, 4448, 236761, 3792, 236789, 236751, 1502, 607, 506, 2354, 4981, 2426, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7565, 236779, 26021, 1083, 3714, 6725, 1083, 236743, 236770, 236810, 236764, 623, 5034, 1083, 236743, 236770, 236771, 236764, 623, 106475, 1083, 236743, 236800, 236764, 623, 47971, 1083, 236743, 236778, 1263, 623, 170389, 1083, 3714, 23079, 1258, 1083, 623, 5034, 827, 623, 101436, 1083, 623, 106475, 827, 623, 23717, 236779, 582, 74420, 1083, 623, 47971, 827, 623, 89653, 236779, 88180, 1083, 623, 5034, 23179, 623, 92973, 236779, 3906, 1083, 3714, 128304, 1083, 2416, 236764, 623, 88319, 1083, 11058, 236800, 44911, 9413, 1660, 38336, 827, 623, 236778, 22600, 9413, 1202, 13196, 1680, 2436, 8912, 14255, 623, 46691, 236779, 60307, 1083, 11058, 23717, 19096, 156782, 827, 623, 121374, 71539, 2731, 152254, 623, 156796, 1083, 3714, 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, 827, 623, 4874, 236779, 25612, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236770, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 623, 6011, 236779, 14210, 1083, 623, 78237, 573, 2436, 8912, 684, 25963, 44911, 22779, 532, 22600, 23047, 236761, 53399, 39252, 14143, 3540, 5395, 1680, 5261, 236743, 236778, 236810, 594, 28958, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 4981, 532, 14143, 21385, 573, 506, 3399, 7972, 2203, 236787, 108, 236770, 236761, 5213, 15124, 18365, 7179, 1018, 138, 107, 236772, 12613, 9413, 236787, 236743, 236770, 236810, 568, 14009, 236787, 236743, 236770, 236771, 1109, 13642, 2415, 236787, 236743, 236800, 1109, 101212, 236787, 236743, 236778, 236768, 138, 107, 236772, 9533, 151686, 236787, 138, 107, 138, 236772, 178222, 236787, 113452, 23531, 138, 107, 138, 236772, 21174, 236787, 236743, 242523, 13642, 2415, 138, 107, 138, 236772, 111492, 133323, 236787, 236743, 249022, 101212, 138, 107, 138, 236772, 16661, 64226, 236787, 113452, 23531, 138, 108, 236778, 236761, 5213, 70408, 43163, 8708, 1018, 138, 107, 236772, 5213, 89740, 43163, 1018, 138, 107, 138, 236772, 236743, 236800, 44911, 9413, 20226, 38336, 568, 16603, 8657, 236768, 138, 107, 138, 236772, 236743, 236778, 22600, 28316, 23047, 103481, 2436, 8912, 138, 107, 236772, 5213, 41941, 55974, 1018, 138, 107, 138, 236772, 111492, 19096, 156782, 138, 107, 138, 236772, 32683, 71539, 2731, 138, 107, 236772, 5213, 141511, 35868, 66515, 63040, 3540, 5395, 4354, 1680, 5261, 236743, 236778, 236810, 594, 138, 108, 236800, 236761, 5213, 63947, 25252, 55302, 1018, 138, 107, 236772, 58731, 21592, 3213, 236787, 138, 107, 138, 236772, 113970, 38336, 529, 44911, 8657, 138, 107, 138, 236772, 61498, 785, 28316, 7686, 85745, 138, 107, 138, 236772, 6521, 11996, 71539, 2731, 138, 107, 138, 236772, 27468, 14143, 3540, 5395, 138, 107, 236772, 12067, 3540, 3433, 236787, 5365, 236743, 236770, 540, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 38786, 611, 1133, 786, 531, 56856, 2970, 4852, 653, 2619, 496, 12262, 21592, 573, 506, 5395, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 506, 3399, 7972, 2203, 657, 506, 9550, 3988, 236761, 5315, 236764, 564, 1461, 531, 2426, 506, 1873, 4981, 529, 784, 1023, 9413, 531, 1386, 2889, 4326, 236789, 236751, 528, 1900, 573, 506, 16038, 14369, 2436, 236761, 4298, 236764, 768, 993, 659, 1027, 14143, 4342, 236764, 564, 1202, 496, 2072, 41671, 1144, 236789, 236751, 9724, 653, 44911, 236761, 13472, 236764, 564, 236789, 236753, 1133, 496, 12323, 531, 1861, 657, 506, 2148, 5395, 834, 692, 740, 3421, 1027, 4078, 532, 2514, 506, 2203, 6049, 4448, 236761, 3792, 236789, 236751, 1502, 607, 506, 2354, 4981, 2426, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 7565, 236779, 26021, 1083, 3714, 6725, 1083, 236743, 236770, 236810, 236764, 623, 5034, 1083, 236743, 236770, 236771, 236764, 623, 106475, 1083, 236743, 236800, 236764, 623, 47971, 1083, 236743, 236778, 1263, 623, 170389, 1083, 3714, 23079, 1258, 1083, 623, 5034, 827, 623, 101436, 1083, 623, 106475, 827, 623, 23717, 236779, 582, 74420, 1083, 623, 47971, 827, 623, 89653, 236779, 88180, 1083, 623, 5034, 23179, 623, 92973, 236779, 3906, 1083, 3714, 128304, 1083, 2416, 236764, 623, 88319, 1083, 11058, 236800, 44911, 9413, 1660, 38336, 827, 623, 236778, 22600, 9413, 1202, 13196, 1680, 2436, 8912, 14255, 623, 46691, 236779, 60307, 1083, 11058, 23717, 19096, 156782, 827, 623, 121374, 71539, 2731, 152254, 623, 156796, 1083, 3714, 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, 827, 623, 4874, 236779, 25612, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236770, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 23179, 623, 6011, 236779, 14210, 1083, 623, 78237, 573, 2436, 8912, 684, 25963, 44911, 22779, 532, 22600, 23047, 236761, 53399, 39252, 14143, 3540, 5395, 1680, 5261, 236743, 236778, 236810, 594, 28958, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1873, 4981, 532, 14143, 21385, 573, 506, 3399, 7972, 2203, 236787, 108, 236770, 236761, 5213, 15124, 18365, 7179, 1018, 138, 107, 236772, 12613, 9413, 236787, 236743, 236770, 236810, 568, 14009, 236787, 236743, 236770, 236771, 1109, 13642, 2415, 236787, 236743, 236800, 1109, 101212, 236787, 236743, 236778, 236768, 138, 107, 236772, 9533, 151686, 236787, 138, 107, 138, 236772, 178222, 236787, 113452, 23531, 138, 107, 138, 236772, 21174, 236787, 236743, 242523, 13642, 2415, 138, 107, 138, 236772, 111492, 133323, 236787, 236743, 249022, 101212, 138, 107, 138, 236772, 16661, 64226, 236787, 113452, 23531, 138, 108, 236778, 236761, 5213, 70408, 43163, 8708, 1018, 138, 107, 236772, 5213, 89740, 43163, 1018, 138, 107, 138, 236772, 236743, 236800, 44911, 9413, 20226, 38336, 568, 16603, 8657, 236768, 138, 107, 138, 236772, 236743, 236778, 22600, 28316, 23047, 103481, 2436, 8912, 138, 107, 236772, 5213, 41941, 55974, 1018, 138, 107, 138, 236772, 111492, 19096, 156782, 138, 107, 138, 236772, 32683, 71539, 2731, 138, 107, 236772, 5213, 141511, 35868, 66515, 63040, 3540, 5395, 4354, 1680, 5261, 236743, 236778, 236810, 594, 138, 108, 236800, 236761, 5213, 63947, 25252, 55302, 1018, 138, 107, 236772, 58731, 21592, 3213, 236787, 138, 107, 138, 236772, 113970, 38336, 529, 44911, 8657, 138, 107, 138, 236772, 61498, 785, 28316, 7686, 85745, 138, 107, 138, 236772, 6521, 11996, 71539, 2731, 138, 107, 138, 236772, 27468, 14143, 3540, 5395, 138, 107, 236772, 12067, 3540, 3433, 236787, 5365, 236743, 236770, 540, 236764, 236743, 236778, 236771, 236778, 236810, 138, 108, 38786, 611, 1133, 786, 531, 56856, 2970, 4852, 653, 2619, 496, 12262, 21592, 573, 506, 5395, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 735, 29979, 236764, 40641, 236764, 532, 135616, 699, 1041, 7972, 236761, 564, 1461, 531, 1386, 496, 13415, 573, 1041, 2260, 5975, 5395, 2148, 2069, 236761, 3199, 611, 1601, 786, 1586, 496, 15028, 1699, 1239, 13153, 236764, 2426, 506, 18073, 1938, 573, 506, 1689, 31831, 236764, 532, 1299, 2619, 496, 2777, 4009, 1868, 531, 24372, 4677, 236881, 564, 1461, 625, 531, 577, 7644, 532, 14788, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 1201, 1083, 623, 32051, 96294, 532, 123220, 177208, 827, 623, 77095, 1083, 78493, 1201, 1083, 623, 29828, 15202, 827, 623, 22111, 1083, 623, 236812, 27370, 236764, 138748, 23179, 3714, 1201, 1083, 623, 498, 878, 827, 623, 22111, 1083, 623, 236770, 8578, 236764, 53037, 43449, 23179, 3714, 1201, 1083, 623, 110289, 115244, 827, 623, 22111, 1083, 623, 236770, 236786, 236778, 8578, 236764, 43449, 23179, 3714, 1201, 1083, 623, 43597, 17926, 827, 623, 22111, 1083, 623, 236778, 107072, 23179, 3714, 1201, 1083, 623, 39248, 827, 623, 22111, 1083, 623, 236770, 72881, 25938, 1604, 623, 96654, 1083, 623, 236770, 236761, 70535, 784, 13153, 528, 496, 13392, 236761, 236743, 236778, 236761, 3792, 2178, 573, 236743, 236800, 236771, 4310, 531, 5301, 236753, 34894, 236761, 236743, 236800, 236761, 68988, 607, 133554, 22259, 653, 618, 496, 70013, 573, 82142, 10498, 623, 52198, 236779, 3906, 1083, 3714, 3241, 236779, 150673, 1083, 623, 29828, 15202, 827, 623, 125645, 236779, 721, 236779, 102487, 1083, 236743, 236770, 236778, 236771, 236764, 623, 56874, 1083, 623, 236800, 236759, 827, 623, 4554, 1886, 1083, 623, 236778, 236810, 236759, 827, 623, 34246, 1083, 623, 236771, 236759, 127096, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17625, 236779, 1582, 1083, 623, 29828, 15202, 827, 623, 102487, 236779, 2086, 1083, 623, 236770, 236771, 236771, 236759, 827, 623, 125645, 1083, 236743, 236770, 236828, 236764, 623, 6725, 236779, 34246, 1083, 623, 236771, 236761, 236778, 236759, 827, 623, 146232, 1083, 623, 236810, 11674, 827, 623, 6725, 236779, 4554, 33229, 14473, 1083, 623, 236800, 236761, 236819, 236759, 827, 623, 115828, 835, 236779, 62031, 1083, 623, 236770, 236761, 236778, 236759, 827, 623, 236751, 1112, 1731, 1083, 623, 236778, 236761, 236825, 236759, 827, 623, 56874, 1083, 623, 236771, 236761, 236819, 236759, 827, 623, 116769, 236779, 236755, 1083, 623, 236770, 236800, 236761, 236832, 11674, 827, 623, 14221, 27205, 1083, 623, 236778, 236800, 236832, 11674, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 623, 3274, 236779, 236832, 236828, 236819, 28180, 827, 623, 4818, 1083, 623, 17138, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 22487, 236786, 3274, 236779, 236832, 236828, 236819, 28180, 25938, 106, 107, 105, 4368, 107, 11069, 2777, 4009, 1868, 815, 1010, 10428, 4464, 532, 563, 5508, 531, 4024, 236888, 5715, 236789, 236751, 506, 3205, 236787, 138, 107, 236840, 2574, 1411, 8358, 236761, 854, 236786, 22487, 236786, 3274, 236779, 236832, 236828, 236819, 28180, 5457, 2574, 1411, 8358, 236761, 854, 236786, 22487, 236786, 3274, 236779, 236832, 236828, 236819, 28180, 236768, 138, 108, 1018, 64020, 25252, 66515, 138, 107, 1882, 1765, 496, 14788, 5213, 32051, 96294, 532, 123220, 177208, 1018, 1699, 822, 7972, 13153, 236888, 1030, 236858, 236751, 21064, 607, 28935, 236764, 2708, 528, 29304, 568, 236770, 236778, 236771, 810, 12284, 779, 532, 7087, 1186, 5756, 29979, 236764, 40641, 236764, 135616, 236764, 26677, 17926, 236764, 532, 9551, 236761, 26079, 573, 496, 7644, 236764, 28239, 2260, 5975, 34038, 236761, 138, 108, 1018, 152312, 37854, 70731, 1018, 568, 721, 236743, 236770, 236771, 236771, 236759, 1473, 138, 107, 236772, 195464, 236787, 236743, 236770, 236828, 138, 107, 236772, 42305, 565, 236787, 236743, 236770, 236800, 236761, 236832, 11674, 138, 107, 236772, 138593, 236787, 236743, 236778, 236800, 236832, 11674, 138, 107, 236772, 14533, 6477, 568, 236771, 236761, 236778, 236759, 236768, 532, 1494, 528, 14770, 568, 236770, 236761, 236778, 236759, 236768, 138, 108, 53132, 822, 2260, 5975, 22658, 607, 672, 7972, 236772, 40323, 13415, 236888, 236743, 243536, 247404, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 735, 29979, 236764, 40641, 236764, 532, 135616, 699, 1041, 7972, 236761, 564, 1461, 531, 1386, 496, 13415, 573, 1041, 2260, 5975, 5395, 2148, 2069, 236761, 3199, 611, 1601, 786, 1586, 496, 15028, 1699, 1239, 13153, 236764, 2426, 506, 18073, 1938, 573, 506, 1689, 31831, 236764, 532, 1299, 2619, 496, 2777, 4009, 1868, 531, 24372, 4677, 236881, 564, 1461, 625, 531, 577, 7644, 532, 14788, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 1201, 1083, 623, 32051, 96294, 532, 123220, 177208, 827, 623, 77095, 1083, 78493, 1201, 1083, 623, 29828, 15202, 827, 623, 22111, 1083, 623, 236812, 27370, 236764, 138748, 23179, 3714, 1201, 1083, 623, 498, 878, 827, 623, 22111, 1083, 623, 236770, 8578, 236764, 53037, 43449, 23179, 3714, 1201, 1083, 623, 110289, 115244, 827, 623, 22111, 1083, 623, 236770, 236786, 236778, 8578, 236764, 43449, 23179, 3714, 1201, 1083, 623, 43597, 17926, 827, 623, 22111, 1083, 623, 236778, 107072, 23179, 3714, 1201, 1083, 623, 39248, 827, 623, 22111, 1083, 623, 236770, 72881, 25938, 1604, 623, 96654, 1083, 623, 236770, 236761, 70535, 784, 13153, 528, 496, 13392, 236761, 236743, 236778, 236761, 3792, 2178, 573, 236743, 236800, 236771, 4310, 531, 5301, 236753, 34894, 236761, 236743, 236800, 236761, 68988, 607, 133554, 22259, 653, 618, 496, 70013, 573, 82142, 10498, 623, 52198, 236779, 3906, 1083, 3714, 3241, 236779, 150673, 1083, 623, 29828, 15202, 827, 623, 125645, 236779, 721, 236779, 102487, 1083, 236743, 236770, 236778, 236771, 236764, 623, 56874, 1083, 623, 236800, 236759, 827, 623, 4554, 1886, 1083, 623, 236778, 236810, 236759, 827, 623, 34246, 1083, 623, 236771, 236759, 127096, 21111, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17625, 236779, 1582, 1083, 623, 29828, 15202, 827, 623, 102487, 236779, 2086, 1083, 623, 236770, 236771, 236771, 236759, 827, 623, 125645, 1083, 236743, 236770, 236828, 236764, 623, 6725, 236779, 34246, 1083, 623, 236771, 236761, 236778, 236759, 827, 623, 146232, 1083, 623, 236810, 11674, 827, 623, 6725, 236779, 4554, 33229, 14473, 1083, 623, 236800, 236761, 236819, 236759, 827, 623, 115828, 835, 236779, 62031, 1083, 623, 236770, 236761, 236778, 236759, 827, 623, 236751, 1112, 1731, 1083, 623, 236778, 236761, 236825, 236759, 827, 623, 56874, 1083, 623, 236771, 236761, 236819, 236759, 827, 623, 116769, 236779, 236755, 1083, 623, 236770, 236800, 236761, 236832, 11674, 827, 623, 14221, 27205, 1083, 623, 236778, 236800, 236832, 11674, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 623, 3274, 236779, 236832, 236828, 236819, 28180, 827, 623, 4818, 1083, 623, 17138, 827, 623, 17138, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236810, 236787, 236812, 236810, 236787, 236771, 236771, 236953, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 22487, 236786, 3274, 236779, 236832, 236828, 236819, 28180, 25938, 106, 107, 105, 4368, 107, 11069, 2777, 4009, 1868, 815, 1010, 10428, 4464, 532, 563, 5508, 531, 4024, 236888, 5715, 236789, 236751, 506, 3205, 236787, 138, 107, 236840, 2574, 1411, 8358, 236761, 854, 236786, 22487, 236786, 3274, 236779, 236832, 236828, 236819, 28180, 5457, 2574, 1411, 8358, 236761, 854, 236786, 22487, 236786, 3274, 236779, 236832, 236828, 236819, 28180, 236768, 138, 108, 1018, 64020, 25252, 66515, 138, 107, 1882, 1765, 496, 14788, 5213, 32051, 96294, 532, 123220, 177208, 1018, 1699, 822, 7972, 13153, 236888, 1030, 236858, 236751, 21064, 607, 28935, 236764, 2708, 528, 29304, 568, 236770, 236778, 236771, 810, 12284, 779, 532, 7087, 1186, 5756, 29979, 236764, 40641, 236764, 135616, 236764, 26677, 17926, 236764, 532, 9551, 236761, 26079, 573, 496, 7644, 236764, 28239, 2260, 5975, 34038, 236761, 138, 108, 1018, 152312, 37854, 70731, 1018, 568, 721, 236743, 236770, 236771, 236771, 236759, 1473, 138, 107, 236772, 195464, 236787, 236743, 236770, 236828, 138, 107, 236772, 42305, 565, 236787, 236743, 236770, 236800, 236761, 236832, 11674, 138, 107, 236772, 138593, 236787, 236743, 236778, 236800, 236832, 11674, 138, 107, 236772, 14533, 6477, 568, 236771, 236761, 236778, 236759, 236768, 532, 1494, 528, 14770, 568, 236770, 236761, 236778, 236759, 236768, 138, 108, 53132, 822, 2260, 5975, 22658, 607, 672, 7972, 236772, 40323, 13415, 236888, 236743, 243536, 247404, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 7280, 236764, 33205, 506, 5500, 1694, 699, 236743, 236825, 3840, 1699, 3432, 5853, 236743, 236778, 236761, 4298, 236764, 4864, 496, 2544, 699, 600, 1694, 532, 12270, 1061, 5086, 52669, 236761, 13472, 236764, 2426, 506, 23058, 236786, 79271, 15130, 6727, 6332, 573, 506, 3068, 1719, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 72726, 1083, 11058, 98808, 827, 623, 184332, 827, 623, 4199, 31814, 827, 623, 236791, 8931, 827, 623, 236773, 1725, 71240, 827, 623, 14713, 111084, 827, 623, 1479, 130641, 827, 623, 1505, 3929, 827, 623, 236847, 743, 827, 623, 818, 4695, 7117, 827, 623, 14319, 26173, 827, 623, 17639, 18633, 827, 623, 222680, 1591, 827, 623, 113881, 827, 623, 236798, 9240, 827, 623, 110275, 4423, 827, 623, 4967, 15972, 4725, 827, 623, 236796, 5730, 827, 623, 58010, 3146, 14973, 827, 623, 236774, 23297, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 22037, 1083, 623, 18331, 653, 17709, 5404, 756, 176376, 236779, 117705, 236779, 231216, 236789, 3847, 236761, 562, 4341, 2862, 5404, 563, 3149, 1781, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 16754, 1083, 623, 38556, 236786, 79271, 827, 623, 2289, 6516, 1083, 623, 236753, 236770, 827, 623, 38651, 1083, 236743, 236825, 236810, 236761, 236800, 236764, 623, 28263, 1083, 623, 166920, 82838, 14700, 573, 23058, 2342, 35594, 528, 506, 3068, 236743, 236778, 236812, 3885, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 236770, 236761, 5213, 38335, 4361, 699, 236743, 236825, 3840, 568, 15547, 5853, 236743, 236778, 1473, 1018, 107, 139, 236772, 63983, 52236, 236787, 39648, 236764, 105404, 236764, 1799, 31814, 236764, 155066, 236764, 93751, 71240, 236764, 8382, 111084, 236764, 192072, 236764, 194856, 236764, 176696, 236764, 669, 4695, 7117, 236764, 155108, 236764, 7263, 18633, 236764, 59096, 1591, 236764, 18693, 236764, 639, 9240, 236764, 41459, 4423, 236764, 2774, 15972, 4725, 236764, 622, 5730, 236764, 209281, 14973, 236764, 2474, 2919, 236761, 108, 236778, 236761, 5213, 13733, 123497, 573, 39648, 568, 236797, 11998, 1473, 1018, 107, 139, 236772, 5213, 23135, 53121, 646, 11998, 568, 11951, 699, 506, 5500, 1694, 236768, 107, 139, 236772, 5213, 3494, 47278, 53121, 669, 4068, 17709, 5404, 691, 12043, 607, 646, 11998, 236764, 496, 4341, 2862, 5404, 573, 39648, 236761, 107, 139, 236772, 5213, 2100, 53121, 46260, 83033, 6595, 51139, 12016, 21284, 3204, 4889, 1133, 15161, 6527, 236764, 43866, 236764, 72704, 236764, 532, 1032, 3835, 2436, 1262, 236761, 108, 236800, 236761, 5213, 38556, 236786, 79271, 59547, 58108, 61807, 568, 53666, 6156, 1473, 1018, 107, 139, 236772, 5213, 123725, 53121, 236743, 236825, 236810, 236761, 236800, 568, 114292, 82838, 14700, 573, 23058, 2342, 35594, 769, 107, 139, 236772, 5213, 35434, 53121, 23058, 16531, 41954, 2342, 35594, 1024, 506, 1774, 236743, 236778, 236812, 3885, 236764, 17674, 496, 21037, 31097, 7003, 236761, 107, 139, 236772, 5213, 40573, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 59528, 236761, 108, 1018, 24355, 53121, 138, 107, 818, 1657, 10428, 52236, 236743, 236825, 3840, 236789, 236751, 5500, 1694, 236764, 5540, 39648, 568, 236797, 11998, 236768, 573, 3835, 3671, 236764, 532, 10778, 23058, 236786, 79271, 236789, 236751, 21037, 82838, 7003, 573, 506, 3068, 1719, 236761, 669, 4068, 3165, 691, 21891, 684, 1699, 496, 4341, 2862, 5404, 236761, 106, 107, 105, 2364, 107, 9272, 236764, 1161, 506, 2544, 236779, 3677, 236779, 111765, 531, 974, 1759, 236772, 2289, 1262, 573, 39648, 568, 236797, 11998, 236768, 1024, 506, 2148, 6468, 236761, 4298, 236764, 18840, 506, 23058, 236786, 142026, 15130, 6727, 6332, 573, 506, 1638, 99299, 532, 10769, 506, 43866, 1534, 23058, 236786, 79271, 532, 23058, 236786, 142026, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6678, 236779, 547, 1083, 623, 11343, 236792, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236771, 236772, 236797, 11998, 827, 623, 4818, 1083, 623, 5034, 827, 623, 19645, 1083, 623, 86176, 236761, 854, 827, 623, 18941, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 827, 623, 1516, 236779, 9846, 1083, 11058, 9238, 236772, 2289, 236772, 75884, 827, 623, 46589, 236772, 61111, 827, 623, 9707, 236772, 22491, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 16754, 236779, 38651, 1083, 3714, 2289, 6516, 1083, 623, 236753, 236770, 827, 623, 38651, 236779, 1516, 1083, 3714, 38556, 236786, 79271, 1083, 3714, 83168, 236779, 38651, 1083, 236743, 236770, 236761, 236778, 236800, 236764, 623, 58043, 1083, 623, 1048, 1476, 827, 623, 4477, 26633, 1083, 623, 114292, 23179, 623, 142026, 236786, 38556, 1083, 3714, 83168, 236779, 38651, 1083, 236743, 236771, 236761, 236819, 236828, 236764, 623, 58043, 1083, 623, 42007, 113824, 827, 623, 4477, 26633, 1083, 623, 976, 23179, 623, 79271, 236786, 198481, 1083, 3714, 83168, 236779, 38651, 1083, 236743, 236770, 236761, 236812, 236810, 236764, 623, 58043, 1083, 623, 1048, 1476, 827, 623, 4477, 26633, 1083, 623, 11480, 236775, 5237, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 236770, 236761, 5213, 20235, 236772, 2866, 5774, 84695, 573, 39648, 568, 236797, 11998, 1473, 1018, 138, 107, 139, 236772, 5213, 7996, 5853, 53121, 32348, 236792, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236771, 236772, 236797, 11998, 138, 107, 139, 236772, 5213, 31212, 53121, 2165, 86176, 236761, 854, 236929, 138, 107, 139, 236772, 5213, 6717, 53121, 23531, 568, 18941, 657, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236743, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 59528, 236768, 138, 107, 139, 236772, 5213, 2100, 39728, 53121, 10170, 236772, 2289, 26545, 236764, 18241, 12496, 236764, 3385, 3731, 138, 108, 236778, 236761, 5213, 51574, 58108, 61807, 568, 42362, 7578, 6516, 1473, 1018, 138, 107, 139, 236772, 5213, 38556, 236786, 79271, 53121, 138, 107, 141, 236772, 61807, 236787, 236743, 236770, 236761, 236778, 236800, 138, 107, 141, 236772, 27593, 236787, 5827, 1476, 138, 107, 141, 236772, 6285, 26633, 236787, 90434, 138, 107, 139, 236772, 5213, 38556, 236786, 142026, 53121, 138, 107, 141, 236772, 61807, 236787, 236743, 236771, 236761, 236819, 236828, 568, 163545, 699, 109384, 236786, 38556, 236768, 138, 107, 141, 236772, 27593, 236787, 31605, 113824, 138, 107, 141, 236772, 6285, 26633, 236787, 14533, 138, 108, 236800, 236761, 5213, 202477, 36520, 53121, 138, 107, 139, 236772, 5213, 38556, 236786, 79271, 1018, 30427, 5213, 114292, 43866, 125546, 17674, 15281, 23058, 14700, 2342, 35594, 236761, 138, 107, 139, 236772, 5213, 38556, 236786, 142026, 1018, 3831, 5213, 976, 43866, 125546, 22169, 496, 919, 10385, 653, 2644, 236772, 10633, 4191, 236761, 138, 107, 139, 236772, 5213, 30792, 53121, 23058, 236786, 79271, 563, 919, 37590, 1082, 23058, 236786, 142026, 1024, 506, 3068, 236743, 236778, 236812, 3885, 236761, 138, 108, 1018, 24355, 53121, 138, 107, 98808, 236858, 236751, 1759, 236772, 2289, 1262, 563, 21566, 10428, 236761, 669, 23058, 236786, 79271, 6727, 3831, 15281, 532, 919, 37590, 7296, 5483, 531, 506, 10385, 23058, 236786, 142026, 6727, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 7280, 236764, 33205, 506, 5500, 1694, 699, 236743, 236825, 3840, 1699, 3432, 5853, 236743, 236778, 236761, 4298, 236764, 4864, 496, 2544, 699, 600, 1694, 532, 12270, 1061, 5086, 52669, 236761, 13472, 236764, 2426, 506, 23058, 236786, 79271, 15130, 6727, 6332, 573, 506, 3068, 1719, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 72726, 1083, 11058, 98808, 827, 623, 184332, 827, 623, 4199, 31814, 827, 623, 236791, 8931, 827, 623, 236773, 1725, 71240, 827, 623, 14713, 111084, 827, 623, 1479, 130641, 827, 623, 1505, 3929, 827, 623, 236847, 743, 827, 623, 818, 4695, 7117, 827, 623, 14319, 26173, 827, 623, 17639, 18633, 827, 623, 222680, 1591, 827, 623, 113881, 827, 623, 236798, 9240, 827, 623, 110275, 4423, 827, 623, 4967, 15972, 4725, 827, 623, 236796, 5730, 827, 623, 58010, 3146, 14973, 827, 623, 236774, 23297, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 29995, 1083, 3714, 22037, 1083, 623, 18331, 653, 17709, 5404, 756, 176376, 236779, 117705, 236779, 231216, 236789, 3847, 236761, 562, 4341, 2862, 5404, 563, 3149, 1781, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 16754, 1083, 623, 38556, 236786, 79271, 827, 623, 2289, 6516, 1083, 623, 236753, 236770, 827, 623, 38651, 1083, 236743, 236825, 236810, 236761, 236800, 236764, 623, 28263, 1083, 623, 166920, 82838, 14700, 573, 23058, 2342, 35594, 528, 506, 3068, 236743, 236778, 236812, 3885, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 236770, 236761, 5213, 38335, 4361, 699, 236743, 236825, 3840, 568, 15547, 5853, 236743, 236778, 1473, 1018, 107, 139, 236772, 63983, 52236, 236787, 39648, 236764, 105404, 236764, 1799, 31814, 236764, 155066, 236764, 93751, 71240, 236764, 8382, 111084, 236764, 192072, 236764, 194856, 236764, 176696, 236764, 669, 4695, 7117, 236764, 155108, 236764, 7263, 18633, 236764, 59096, 1591, 236764, 18693, 236764, 639, 9240, 236764, 41459, 4423, 236764, 2774, 15972, 4725, 236764, 622, 5730, 236764, 209281, 14973, 236764, 2474, 2919, 236761, 108, 236778, 236761, 5213, 13733, 123497, 573, 39648, 568, 236797, 11998, 1473, 1018, 107, 139, 236772, 5213, 23135, 53121, 646, 11998, 568, 11951, 699, 506, 5500, 1694, 236768, 107, 139, 236772, 5213, 3494, 47278, 53121, 669, 4068, 17709, 5404, 691, 12043, 607, 646, 11998, 236764, 496, 4341, 2862, 5404, 573, 39648, 236761, 107, 139, 236772, 5213, 2100, 53121, 46260, 83033, 6595, 51139, 12016, 21284, 3204, 4889, 1133, 15161, 6527, 236764, 43866, 236764, 72704, 236764, 532, 1032, 3835, 2436, 1262, 236761, 108, 236800, 236761, 5213, 38556, 236786, 79271, 59547, 58108, 61807, 568, 53666, 6156, 1473, 1018, 107, 139, 236772, 5213, 123725, 53121, 236743, 236825, 236810, 236761, 236800, 568, 114292, 82838, 14700, 573, 23058, 2342, 35594, 769, 107, 139, 236772, 5213, 35434, 53121, 23058, 16531, 41954, 2342, 35594, 1024, 506, 1774, 236743, 236778, 236812, 3885, 236764, 17674, 496, 21037, 31097, 7003, 236761, 107, 139, 236772, 5213, 40573, 53121, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236778, 236800, 236787, 236770, 236832, 59528, 236761, 108, 1018, 24355, 53121, 138, 107, 818, 1657, 10428, 52236, 236743, 236825, 3840, 236789, 236751, 5500, 1694, 236764, 5540, 39648, 568, 236797, 11998, 236768, 573, 3835, 3671, 236764, 532, 10778, 23058, 236786, 79271, 236789, 236751, 21037, 82838, 7003, 573, 506, 3068, 1719, 236761, 669, 4068, 3165, 691, 21891, 684, 1699, 496, 4341, 2862, 5404, 236761, 106, 107, 105, 2364, 107, 9272, 236764, 1161, 506, 2544, 236779, 3677, 236779, 111765, 531, 974, 1759, 236772, 2289, 1262, 573, 39648, 568, 236797, 11998, 236768, 1024, 506, 2148, 6468, 236761, 4298, 236764, 18840, 506, 23058, 236786, 142026, 15130, 6727, 6332, 573, 506, 1638, 99299, 532, 10769, 506, 43866, 1534, 23058, 236786, 79271, 532, 23058, 236786, 142026, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6678, 236779, 547, 1083, 623, 11343, 236792, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236771, 236772, 236797, 11998, 827, 623, 4818, 1083, 623, 5034, 827, 623, 19645, 1083, 623, 86176, 236761, 854, 827, 623, 18941, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 236953, 827, 623, 1516, 236779, 9846, 1083, 11058, 9238, 236772, 2289, 236772, 75884, 827, 623, 46589, 236772, 61111, 827, 623, 9707, 236772, 22491, 99471, 108, 236840, 7741, 11130, 236842, 107, 14937, 16754, 236779, 38651, 1083, 3714, 2289, 6516, 1083, 623, 236753, 236770, 827, 623, 38651, 236779, 1516, 1083, 3714, 38556, 236786, 79271, 1083, 3714, 83168, 236779, 38651, 1083, 236743, 236770, 236761, 236778, 236800, 236764, 623, 58043, 1083, 623, 1048, 1476, 827, 623, 4477, 26633, 1083, 623, 114292, 23179, 623, 142026, 236786, 38556, 1083, 3714, 83168, 236779, 38651, 1083, 236743, 236771, 236761, 236819, 236828, 236764, 623, 58043, 1083, 623, 42007, 113824, 827, 623, 4477, 26633, 1083, 623, 976, 23179, 623, 79271, 236786, 198481, 1083, 3714, 83168, 236779, 38651, 1083, 236743, 236770, 236761, 236812, 236810, 236764, 623, 58043, 1083, 623, 1048, 1476, 827, 623, 4477, 26633, 1083, 623, 11480, 236775, 5237, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236774, 236770, 236812, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 127096, 106, 107, 105, 4368, 107, 236770, 236761, 5213, 20235, 236772, 2866, 5774, 84695, 573, 39648, 568, 236797, 11998, 1473, 1018, 138, 107, 139, 236772, 5213, 7996, 5853, 53121, 32348, 236792, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236771, 236772, 236797, 11998, 138, 107, 139, 236772, 5213, 31212, 53121, 2165, 86176, 236761, 854, 236929, 138, 107, 139, 236772, 5213, 6717, 53121, 23531, 568, 18941, 657, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236743, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236832, 59528, 236768, 138, 107, 139, 236772, 5213, 2100, 39728, 53121, 10170, 236772, 2289, 26545, 236764, 18241, 12496, 236764, 3385, 3731, 138, 108, 236778, 236761, 5213, 51574, 58108, 61807, 568, 42362, 7578, 6516, 1473, 1018, 138, 107, 139, 236772, 5213, 38556, 236786, 79271, 53121, 138, 107, 141, 236772, 61807, 236787, 236743, 236770, 236761, 236778, 236800, 138, 107, 141, 236772, 27593, 236787, 5827, 1476, 138, 107, 141, 236772, 6285, 26633, 236787, 90434, 138, 107, 139, 236772, 5213, 38556, 236786, 142026, 53121, 138, 107, 141, 236772, 61807, 236787, 236743, 236771, 236761, 236819, 236828, 568, 163545, 699, 109384, 236786, 38556, 236768, 138, 107, 141, 236772, 27593, 236787, 31605, 113824, 138, 107, 141, 236772, 6285, 26633, 236787, 14533, 138, 108, 236800, 236761, 5213, 202477, 36520, 53121, 138, 107, 139, 236772, 5213, 38556, 236786, 79271, 1018, 30427, 5213, 114292, 43866, 125546, 17674, 15281, 23058, 14700, 2342, 35594, 236761, 138, 107, 139, 236772, 5213, 38556, 236786, 142026, 1018, 3831, 5213, 976, 43866, 125546, 22169, 496, 919, 10385, 653, 2644, 236772, 10633, 4191, 236761, 138, 107, 139, 236772, 5213, 30792, 53121, 23058, 236786, 79271, 563, 919, 37590, 1082, 23058, 236786, 142026, 1024, 506, 3068, 236743, 236778, 236812, 3885, 236761, 138, 108, 1018, 24355, 53121, 138, 107, 98808, 236858, 236751, 1759, 236772, 2289, 1262, 563, 21566, 10428, 236761, 669, 23058, 236786, 79271, 6727, 3831, 15281, 532, 919, 37590, 7296, 5483, 531, 506, 10385, 23058, 236786, 142026, 6727, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 496, 9226, 2460, 573, 506, 57618, 20723, 3399, 531, 17159, 53439, 12824, 23060, 1343, 9624, 236761, 5315, 236764, 33205, 506, 1873, 18176, 8283, 573, 108472, 5996, 21267, 568, 14992, 5853, 236743, 236770, 236770, 236778, 236768, 531, 4926, 528, 42527, 5417, 236761, 4298, 236764, 2426, 2263, 1635, 30916, 573, 19109, 236743, 236778, 236810, 699, 57618, 20723, 531, 7286, 65064, 531, 16422, 14227, 3835, 573, 40303, 236761, 9920, 611, 735, 1800, 4889, 236764, 2619, 496, 2777, 4009, 1868, 528, 14361, 532, 5422, 600, 5132, 506, 18176, 1694, 236764, 14227, 8283, 236764, 532, 496, 37017, 15030, 31481, 1003, 9624, 236761, 1637, 1027, 2918, 20269, 236764, 151350, 532, 7535, 506, 2731, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236751, 3511, 1083, 78493, 1201, 1083, 623, 129963, 6834, 236785, 236756, 236771, 236771, 524, 26489, 827, 623, 3473, 1083, 623, 54659, 23179, 3714, 1201, 1083, 623, 96630, 587, 236785, 236756, 236771, 236771, 236744, 236819, 226478, 827, 623, 3473, 1083, 623, 41210, 45348, 23179, 3714, 1201, 1083, 623, 236863, 31265, 42807, 236785, 236756, 236771, 236771, 236744, 236770, 226478, 827, 623, 3473, 1083, 623, 201866, 23179, 3714, 1201, 1083, 623, 116217, 639, 236785, 236756, 236771, 236771, 236760, 236800, 17487, 827, 623, 3473, 1083, 623, 5988, 66881, 25938, 1604, 623, 14992, 236779, 1201, 1083, 623, 1558, 194981, 21267, 827, 623, 43852, 236779, 105461, 1083, 623, 236778, 236771, 236778, 236812, 40777, 22015, 30086, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11679, 1083, 236743, 236778, 236810, 236764, 623, 16145, 1083, 623, 236747, 827, 623, 11412, 236779, 547, 1083, 236743, 236832, 236764, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 41413, 1083, 3714, 65758, 1264, 1083, 11058, 236771, 236832, 236787, 236770, 236810, 8151, 827, 623, 236771, 236832, 236787, 236812, 236810, 8151, 827, 623, 236771, 236828, 236787, 236778, 236771, 8151, 827, 623, 236771, 236819, 236787, 236771, 236771, 8151, 14255, 623, 46353, 236779, 3841, 1083, 3714, 181015, 20723, 1083, 623, 236771, 236832, 236787, 236771, 236771, 8151, 827, 623, 7131, 65064, 1083, 623, 236771, 236819, 236787, 236770, 236810, 8151, 23179, 623, 41239, 236779, 2084, 1083, 623, 27630, 827, 623, 4818, 1083, 623, 2791, 7578, 127096, 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, 17846, 1083, 623, 46456, 11995, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 176253, 1083, 623, 11355, 1602, 506, 9624, 8505, 817, 531, 506, 4856, 236881, 2282, 974, 914, 36679, 9332, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 623, 2996, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236772, 236770, 827, 623, 19099, 1083, 623, 42809, 827, 623, 4818, 1083, 623, 32071, 827, 623, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236812, 236809, 236832, 236828, 236778, 236800, 29351, 236771, 236751, 25938, 106, 107, 105, 4368, 107, 1018, 111534, 12209, 63326, 82521, 31825, 236888, 1018, 138, 107, 244351, 5213, 229752, 53439, 12824, 28917, 607, 108472, 5996, 21267, 236888, 1018, 138, 107, 249460, 5213, 3500, 20303, 53121, 138, 107, 236772, 5213, 18373, 108342, 53121, 236743, 236778, 236771, 236778, 236812, 40777, 22015, 30086, 18176, 236787, 138, 107, 138, 236772, 30913, 75682, 568, 54659, 236768, 138, 107, 138, 236772, 24913, 23751, 226478, 568, 41210, 45348, 236768, 138, 107, 138, 236772, 75803, 92293, 568, 201866, 236768, 138, 107, 138, 236772, 31309, 48489, 568, 5988, 66881, 236768, 138, 108, 249418, 5213, 126637, 53121, 138, 107, 6870, 236743, 236778, 236810, 16623, 568, 181015, 20723, 16130, 7286, 65064, 1473, 138, 107, 138, 236772, 32164, 1264, 236787, 236743, 236832, 236787, 236770, 236810, 8151, 236764, 236743, 236832, 236787, 236812, 236810, 8151, 236764, 236743, 236828, 236787, 236778, 236771, 8151, 236764, 236743, 236819, 236787, 236771, 236771, 8151, 138, 107, 138, 236772, 111917, 528, 7286, 65064, 236787, 236743, 236819, 236787, 236770, 236810, 8151, 138, 108, 241025, 5213, 113138, 235072, 53121, 138, 107, 71510, 11355, 1602, 506, 9624, 8505, 817, 531, 506, 4856, 236881, 2282, 974, 914, 36679, 9332, 236829, 138, 107, 71510, 237665, 19254, 15300, 862, 132122, 569, 69852, 9759, 610, 55454, 236881, 21764, 12386, 78009, 496, 664, 2556, 39762, 569, 26294, 9332, 236829, 138, 108, 245958, 5213, 45028, 580, 10365, 53121, 870, 2039, 6531, 5457, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236812, 236809, 236832, 236828, 236778, 236800, 29351, 236771, 236751, 236768, 138, 107, 236865, 181015, 20723, 236823, 5942, 997, 236780, 102096, 2730, 236780, 155981, 236743, 245874, 244098, 244351, 138, 108, 1018, 9272, 50228, 53121, 64063, 607, 506, 3399, 1003, 4767, 14227, 3548, 653, 18176, 20756, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 35447, 496, 9226, 2460, 573, 506, 57618, 20723, 3399, 531, 17159, 53439, 12824, 23060, 1343, 9624, 236761, 5315, 236764, 33205, 506, 1873, 18176, 8283, 573, 108472, 5996, 21267, 568, 14992, 5853, 236743, 236770, 236770, 236778, 236768, 531, 4926, 528, 42527, 5417, 236761, 4298, 236764, 2426, 2263, 1635, 30916, 573, 19109, 236743, 236778, 236810, 699, 57618, 20723, 531, 7286, 65064, 531, 16422, 14227, 3835, 573, 40303, 236761, 9920, 611, 735, 1800, 4889, 236764, 2619, 496, 2777, 4009, 1868, 528, 14361, 532, 5422, 600, 5132, 506, 18176, 1694, 236764, 14227, 8283, 236764, 532, 496, 37017, 15030, 31481, 1003, 9624, 236761, 1637, 1027, 2918, 20269, 236764, 151350, 532, 7535, 506, 2731, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236751, 3511, 1083, 78493, 1201, 1083, 623, 129963, 6834, 236785, 236756, 236771, 236771, 524, 26489, 827, 623, 3473, 1083, 623, 54659, 23179, 3714, 1201, 1083, 623, 96630, 587, 236785, 236756, 236771, 236771, 236744, 236819, 226478, 827, 623, 3473, 1083, 623, 41210, 45348, 23179, 3714, 1201, 1083, 623, 236863, 31265, 42807, 236785, 236756, 236771, 236771, 236744, 236770, 226478, 827, 623, 3473, 1083, 623, 201866, 23179, 3714, 1201, 1083, 623, 116217, 639, 236785, 236756, 236771, 236771, 236760, 236800, 17487, 827, 623, 3473, 1083, 623, 5988, 66881, 25938, 1604, 623, 14992, 236779, 1201, 1083, 623, 1558, 194981, 21267, 827, 623, 43852, 236779, 105461, 1083, 623, 236778, 236771, 236778, 236812, 40777, 22015, 30086, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11679, 1083, 236743, 236778, 236810, 236764, 623, 16145, 1083, 623, 236747, 827, 623, 11412, 236779, 547, 1083, 236743, 236832, 236764, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 41413, 1083, 3714, 65758, 1264, 1083, 11058, 236771, 236832, 236787, 236770, 236810, 8151, 827, 623, 236771, 236832, 236787, 236812, 236810, 8151, 827, 623, 236771, 236828, 236787, 236778, 236771, 8151, 827, 623, 236771, 236819, 236787, 236771, 236771, 8151, 14255, 623, 46353, 236779, 3841, 1083, 3714, 181015, 20723, 1083, 623, 236771, 236832, 236787, 236771, 236771, 8151, 827, 623, 7131, 65064, 1083, 623, 236771, 236819, 236787, 236770, 236810, 8151, 23179, 623, 41239, 236779, 2084, 1083, 623, 27630, 827, 623, 4818, 1083, 623, 2791, 7578, 127096, 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, 17846, 1083, 623, 46456, 11995, 236764, 2506, 2483, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 176253, 1083, 623, 11355, 1602, 506, 9624, 8505, 817, 531, 506, 4856, 236881, 2282, 974, 914, 36679, 9332, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 623, 2996, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236778, 236771, 236772, 236770, 827, 623, 19099, 1083, 623, 42809, 827, 623, 4818, 1083, 623, 32071, 827, 623, 2451, 1083, 623, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236812, 236809, 236832, 236828, 236778, 236800, 29351, 236771, 236751, 25938, 106, 107, 105, 4368, 107, 1018, 111534, 12209, 63326, 82521, 31825, 236888, 1018, 138, 107, 244351, 5213, 229752, 53439, 12824, 28917, 607, 108472, 5996, 21267, 236888, 1018, 138, 107, 249460, 5213, 3500, 20303, 53121, 138, 107, 236772, 5213, 18373, 108342, 53121, 236743, 236778, 236771, 236778, 236812, 40777, 22015, 30086, 18176, 236787, 138, 107, 138, 236772, 30913, 75682, 568, 54659, 236768, 138, 107, 138, 236772, 24913, 23751, 226478, 568, 41210, 45348, 236768, 138, 107, 138, 236772, 75803, 92293, 568, 201866, 236768, 138, 107, 138, 236772, 31309, 48489, 568, 5988, 66881, 236768, 138, 108, 249418, 5213, 126637, 53121, 138, 107, 6870, 236743, 236778, 236810, 16623, 568, 181015, 20723, 16130, 7286, 65064, 1473, 138, 107, 138, 236772, 32164, 1264, 236787, 236743, 236832, 236787, 236770, 236810, 8151, 236764, 236743, 236832, 236787, 236812, 236810, 8151, 236764, 236743, 236828, 236787, 236778, 236771, 8151, 236764, 236743, 236819, 236787, 236771, 236771, 8151, 138, 107, 138, 236772, 111917, 528, 7286, 65064, 236787, 236743, 236819, 236787, 236770, 236810, 8151, 138, 108, 241025, 5213, 113138, 235072, 53121, 138, 107, 71510, 11355, 1602, 506, 9624, 8505, 817, 531, 506, 4856, 236881, 2282, 974, 914, 36679, 9332, 236829, 138, 107, 71510, 237665, 19254, 15300, 862, 132122, 569, 69852, 9759, 610, 55454, 236881, 21764, 12386, 78009, 496, 664, 2556, 39762, 569, 26294, 9332, 236829, 138, 108, 245958, 5213, 45028, 580, 10365, 53121, 870, 2039, 6531, 5457, 2574, 1411, 29872, 236761, 854, 236786, 236758, 236786, 236780, 236812, 236809, 236832, 236828, 236778, 236800, 29351, 236771, 236751, 236768, 138, 107, 236865, 181015, 20723, 236823, 5942, 997, 236780, 102096, 2730, 236780, 155981, 236743, 245874, 244098, 244351, 138, 108, 1018, 9272, 50228, 53121, 64063, 607, 506, 3399, 1003, 4767, 14227, 3548, 653, 18176, 20756, 236888, 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, 145796, 236772, 5140, 4456, 531, 32545, 1041, 20431, 532, 4252, 236764, 840, 564, 236789, 236757, 711, 2889, 1298, 531, 1502, 236761, 5315, 236764, 564, 1461, 531, 3371, 607, 496, 145796, 2913, 2544, 531, 3249, 7107, 496, 3432, 600, 5132, 496, 15771, 3336, 573, 1041, 25687, 236764, 496, 7200, 573, 11211, 1610, 11221, 236764, 614, 4749, 14626, 573, 1041, 4918, 19575, 532, 1610, 28023, 236764, 532, 614, 3489, 4762, 573, 11010, 24482, 532, 35759, 236761, 3153, 236764, 564, 236789, 236757, 10099, 1003, 506, 2157, 532, 3363, 901, 740, 25139, 9855, 236786, 10540, 4065, 573, 1041, 4252, 236761, 3199, 611, 1601, 786, 42253, 672, 1657, 532, 6060, 1027, 3435, 4342, 1133, 7715, 15166, 653, 8330, 16305, 236881, 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, 29995, 1083, 3714, 33686, 236779, 81521, 1083, 623, 14188, 711, 5221, 528, 5904, 30539, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15516, 236779, 4818, 1083, 623, 10934, 827, 623, 25385, 236779, 6275, 1083, 3714, 30449, 236779, 3970, 1083, 623, 7560, 236791, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236832, 827, 623, 34697, 567, 236779, 2865, 3747, 1083, 1847, 236764, 623, 79205, 236779, 95842, 3092, 1083, 3714, 20156, 236779, 10540, 236779, 49701, 1083, 623, 47070, 4323, 145796, 4009, 19505, 607, 2401, 8688, 827, 623, 16235, 236779, 54520, 1083, 3714, 35301, 236779, 1862, 1083, 623, 21108, 8688, 827, 623, 12079, 236779, 19099, 1083, 623, 176919, 13463, 7157, 18544, 827, 623, 18582, 236779, 23426, 1083, 623, 97880, 607, 6475, 30467, 9299, 827, 623, 23557, 236779, 6457, 1083, 623, 110465, 26830, 9173, 61988, 236775, 5237, 623, 51128, 236779, 32438, 567, 1083, 3714, 51183, 236779, 13769, 236779, 8572, 1083, 6610, 236832, 236810, 236771, 236771, 23278, 236770, 236778, 236771, 236771, 236771, 827, 623, 236287, 236779, 8194, 1083, 11058, 3586, 1361, 8688, 827, 623, 7084, 236772, 6265, 9173, 208825, 152254, 623, 4874, 236779, 25438, 1083, 11058, 39656, 17324, 2246, 827, 623, 26247, 9813, 6035, 2354, 827, 623, 30852, 6330, 15771, 3004, 14255, 623, 45972, 236779, 104094, 1083, 623, 236812, 236772, 236828, 5695, 573, 60885, 2913, 827, 623, 9442, 236779, 15081, 1083, 623, 21108, 147914, 607, 236743, 236778, 236812, 236786, 236832, 15049, 1458, 127096, 106, 107, 105, 4368, 107, 236777, 236789, 560, 10428, 6638, 611, 607, 496, 5707, 145796, 2913, 11452, 568, 9313, 236787, 622, 11288, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236832, 769, 5715, 236789, 236751, 1144, 901, 236789, 560, 10778, 236787, 108, 1018, 58972, 5741, 193666, 53121, 107, 236772, 113452, 60944, 3336, 573, 25687, 568, 23771, 8688, 236768, 107, 236772, 113452, 25098, 607, 49364, 43703, 568, 176919, 13463, 7157, 900, 4009, 19505, 236768, 107, 236772, 113452, 6475, 30467, 236772, 47452, 4749, 14626, 107, 236772, 113452, 13118, 4762, 607, 5177, 1698, 1894, 568, 41586, 9173, 61988, 236768, 107, 236772, 236743, 247583, 18272, 236786, 10540, 12434, 2653, 4323, 145796, 4009, 19505, 607, 2401, 8688, 108, 1018, 71653, 107452, 53121, 107, 236772, 93550, 2157, 236787, 609, 236832, 236764, 236810, 236771, 236771, 23278, 236770, 236778, 236764, 236771, 236771, 236771, 568, 49426, 822, 3328, 2644, 236768, 107, 236772, 11117, 18088, 3835, 2487, 236787, 107, 138, 236770, 236761, 1953, 1361, 8688, 568, 29184, 60885, 1171, 236768, 107, 138, 236778, 236761, 22282, 509, 4266, 1932, 236772, 6265, 19505, 108, 1018, 9272, 50228, 53121, 107, 236770, 236761, 27468, 496, 17324, 2246, 531, 3249, 236787, 107, 139, 236772, 5180, 3530, 28523, 6035, 568, 111765, 4252, 236764, 2948, 54828, 236768, 107, 139, 236772, 81286, 3004, 236786, 9301, 611, 1461, 531, 49659, 107, 236778, 236761, 19148, 9813, 6035, 2354, 107, 236800, 236761, 9352, 822, 6330, 15771, 3004, 108, 1018, 94394, 53121, 236743, 236812, 236772, 236828, 5695, 573, 60885, 2913, 138, 107, 1018, 16400, 53121, 13029, 147914, 607, 236743, 236778, 236812, 236786, 236832, 15049, 1458, 108, 38786, 611, 1133, 531, 7162, 607, 39252, 506, 17324, 2246, 532, 11211, 822, 3004, 18241, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 5508, 531, 2827, 4448, 236888, 3792, 236789, 236751, 10368, 506, 17324, 2246, 236764, 840, 564, 1202, 611, 531, 1171, 37386, 1156, 3530, 3298, 607, 506, 11452, 236787, 236743, 236770, 236761, 5213, 23077, 62840, 66515, 1637, 692, 5347, 506, 93992, 8688, 236764, 1144, 1093, 506, 7081, 30705, 1698, 3204, 236881, 3199, 901, 2847, 496, 141398, 25890, 529, 4065, 7728, 236761, 5384, 236881, 236743, 236778, 236761, 5213, 7008, 43645, 66515, 1701, 506, 4252, 236786, 10540, 4065, 236764, 795, 901, 1894, 1982, 12434, 607, 14175, 1133, 195401, 236786, 53824, 236764, 653, 1093, 692, 1202, 2401, 21566, 12308, 236881, 6542, 236764, 11006, 1041, 3004, 18241, 573, 11211, 753, 564, 236789, 859, 1202, 531, 1694, 1041, 6330, 25687, 568, 64495, 684, 7824, 779, 4252, 7365, 568, 236800, 236772, 236810, 16710, 779, 532, 2460, 6704, 236761, 18975, 564, 56856, 1027, 3530, 6518, 573, 672, 236881, 3792, 236858, 236751, 1386, 2889, 901, 3050, 1041, 4918, 236858, 236751, 3736, 10103, 1202, 531, 577, 6551, 236772, 50116, 532, 24554, 528, 1800, 506, 4749, 14626, 532, 496, 11554, 4252, 15707, 236761, 1637, 506, 11452, 3189, 506, 28523, 12434, 7087, 4767, 37210, 12412, 236764, 2679, 1091, 531, 3600, 1932, 236772, 6265, 24277, 1680, 26891, 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, 16544, 2540, 236779, 48921, 1083, 623, 14188, 711, 5221, 528, 5904, 30539, 827, 623, 33686, 236779, 59646, 1083, 623, 14188, 711, 5221, 528, 5904, 30539, 236775, 19465, 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, 42776, 5603, 27702, 573, 2401, 145796, 4456, 2913, 827, 623, 6201, 236779, 13308, 1083, 3714, 10470, 1083, 623, 16493, 145796, 4456, 607, 15771, 236764, 7200, 236764, 4749, 14626, 236764, 532, 3489, 4762, 827, 623, 79205, 236779, 167097, 1083, 3714, 20156, 236779, 10540, 236779, 49701, 1083, 623, 47070, 1343, 145796, 4009, 19505, 532, 2401, 21566, 5434, 827, 623, 236744, 41586, 236779, 21449, 1083, 623, 176919, 13463, 26830, 12434, 573, 1887, 236786, 1042, 127911, 5886, 23179, 623, 51128, 236779, 54520, 1083, 3714, 56082, 236779, 8572, 1083, 6610, 236810, 236771, 236771, 236771, 23278, 236770, 236810, 236771, 236771, 236771, 827, 623, 62353, 1083, 1847, 236764, 623, 23184, 1083, 623, 49074, 16783, 2203, 19009, 2351, 15633, 7715, 2644, 23179, 623, 45972, 1083, 3714, 51183, 236779, 19001, 1083, 623, 236825, 236772, 236828, 5695, 827, 623, 2478, 236779, 34205, 48602, 1083, 11058, 70277, 18669, 568, 236770, 2069, 22730, 623, 11835, 2913, 568, 236778, 5695, 22730, 623, 7988, 12434, 568, 236778, 5695, 22730, 623, 26653, 833, 4122, 568, 236770, 236772, 236778, 5695, 236768, 1935, 5237, 623, 4874, 236779, 25438, 1083, 11058, 39656, 4068, 22388, 2246, 827, 623, 30852, 15771, 529, 3361, 1610, 236786, 26873, 17909, 827, 623, 30454, 3530, 9855, 236786, 10540, 6518, 6035, 827, 623, 93000, 9813, 4926, 208825, 51947, 14255, 623, 9442, 236779, 2865, 2546, 1083, 3714, 5909, 1083, 623, 23771, 827, 623, 22239, 1083, 11058, 7118, 236772, 29184, 13582, 49048, 568, 236800, 236771, 2668, 22730, 623, 58972, 13049, 827, 623, 18397, 4122, 14845, 14255, 623, 31162, 236779, 1048, 32477, 1083, 11058, 107332, 1894, 8289, 827, 623, 4795, 16064, 3019, 1935, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 61823, 236779, 547, 1083, 623, 7560, 236791, 236772, 236812, 236810, 236778, 236770, 827, 623, 4818, 1083, 623, 34697, 567, 236779, 144376, 827, 623, 15691, 236779, 11607, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6201, 236779, 6011, 1083, 3714, 10470, 1083, 623, 16493, 145796, 4456, 607, 15771, 236764, 7200, 236764, 4749, 14626, 236764, 532, 545, 236772, 25351, 12434, 827, 623, 79205, 236779, 32438, 847, 1083, 11058, 23994, 236786, 10540, 21566, 15858, 827, 623, 26637, 236772, 50116, 1702, 827, 623, 89327, 18088, 14255, 623, 51128, 236779, 54520, 1083, 623, 43794, 15633, 2644, 6131, 236810, 236771, 236771, 236771, 23278, 236770, 236810, 236771, 236771, 236771, 236768, 573, 93992, 2913, 4313, 23179, 623, 4874, 236779, 25438, 1083, 11058, 70277, 18669, 531, 96820, 6035, 827, 623, 58972, 48851, 10834, 827, 623, 71653, 25890, 15523, 14255, 623, 9442, 236779, 14992, 1083, 3714, 6201, 236779, 20828, 1083, 623, 65944, 15416, 827, 623, 79205, 236779, 40227, 1083, 623, 112181, 11860, 827, 623, 9442, 236779, 5909, 1083, 623, 97875, 127096, 106, 107, 105, 4368, 107, 11069, 22388, 815, 1010, 10428, 14812, 607, 506, 145796, 2913, 11452, 568, 70329, 5853, 236787, 622, 11288, 236772, 236812, 236810, 236778, 236770, 236768, 580, 5365, 236743, 236810, 594, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236778, 236787, 236771, 236771, 8711, 59528, 236761, 5715, 236789, 236751, 1144, 692, 236789, 560, 67013, 236787, 108, 1018, 236770, 236761, 11117, 62840, 28636, 53121, 107, 236772, 60885, 40279, 568, 122598, 236787, 609, 236810, 236764, 236810, 236771, 236771, 23278, 236828, 236764, 236771, 236771, 236771, 1473, 107, 138, 236772, 17354, 15771, 900, 30415, 7200, 107, 138, 236772, 18711, 4749, 14626, 568, 1904, 9299, 12434, 236768, 107, 138, 236772, 17983, 3489, 4762, 568, 57819, 3211, 1186, 236768, 107, 236772, 10456, 74484, 568, 122598, 236787, 609, 236770, 236771, 236764, 236771, 236771, 236771, 23278, 236770, 236812, 236764, 236810, 236771, 236771, 1473, 107, 138, 236772, 2343, 15633, 4065, 2440, 236787, 107, 140, 236772, 6475, 30467, 9299, 12434, 107, 140, 236772, 14232, 1698, 1894, 568, 1995, 59020, 236768, 107, 140, 236772, 28523, 21566, 12308, 108, 1018, 236778, 236761, 28523, 43645, 53121, 107, 236772, 4291, 1894, 1800, 236787, 107, 138, 236772, 5213, 15376, 71824, 236751, 66515, 26203, 195401, 236786, 53824, 236786, 236847, 95177, 93877, 107, 138, 236772, 5213, 16493, 84695, 66515, 15207, 236772, 128601, 9855, 236786, 10540, 607, 640, 15843, 21566, 107, 236772, 18424, 236772, 50116, 8688, 10778, 573, 236787, 107, 138, 236772, 12209, 3736, 10103, 107, 138, 236772, 135460, 4252, 15707, 607, 44262, 18544, 108, 1018, 4795, 55302, 15308, 53121, 107, 236772, 5213, 50672, 1013, 66515, 173856, 684, 7824, 236786, 3704, 528, 39797, 568, 25323, 15771, 19331, 236768, 107, 236772, 5213, 24068, 66515, 236743, 236800, 236778, 236771, 41597, 975, 13945, 236800, 900, 200196, 5734, 568, 236800, 236772, 236810, 16710, 779, 607, 195401, 9851, 768, 2487, 107, 236772, 5213, 49660, 66515, 4819, 236772, 619, 730, 4110, 34122, 568, 236778, 236771, 236812, 236828, 1885, 2962, 1322, 236768, 13957, 684, 2460, 1722, 107, 236772, 5213, 93245, 66515, 13945, 236812, 236786, 236814, 236761, 236778, 236825, 236812, 6518, 568, 236770, 236771, 236828, 236771, 236758, 12373, 236768, 607, 6551, 14785, 108, 1018, 9272, 50228, 13677, 138636, 53121, 107, 236770, 236761, 50514, 496, 124406, 4926, 1694, 568, 23600, 236772, 17777, 7728, 6290, 236772, 1071, 236772, 17777, 236768, 107, 236778, 236761, 19148, 822, 3004, 18241, 3904, 607, 506, 11452, 107, 236800, 236761, 9352, 910, 15771, 529, 3361, 1610, 236786, 26873, 17909, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 822, 4926, 208825, 2354, 653, 3004, 18241, 3904, 1680, 506, 22388, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 12262, 506, 5213, 3955, 18241, 3904, 1018, 1171, 753, 564, 1461, 531, 1861, 1041, 5417, 528, 496, 1595, 600, 3590, 625, 3735, 573, 506, 18270, 531, 3050, 1041, 10091, 236761, 3199, 611, 2619, 496, 7930, 600, 5238, 910, 6518, 6035, 1651, 41671, 1041, 25075, 3117, 236881, 12213, 496, 5498, 7234, 573, 1041, 623, 78134, 813, 2665, 210747, 236775, 11710, 3605, 607, 17709, 1816, 573, 13376, 236764, 7860, 236764, 532, 7824, 8687, 236761, 6542, 1138, 496, 5433, 1003, 1041, 4918, 236858, 236751, 623, 28898, 657, 751, 1205, 236743, 236770, 236771, 236825, 236775, 3736, 2948, 600, 3548, 2803, 5700, 573, 6551, 14785, 236761, 1637, 506, 11452, 236858, 236751, 15771, 3540, 3831, 901, 735, 5809, 2707, 607, 4252, 236772, 54686, 7088, 236764, 2679, 1091, 531, 3371, 786, 607, 910, 9855, 236786, 10540, 20727, 1680, 506, 2246, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 5707, 3004, 18241, 7930, 36443, 531, 506, 11452, 236789, 236751, 8330, 6035, 1651, 58442, 822, 25075, 9834, 236787, 108, 2717, 107, 236865, 39484, 4169, 112548, 3247, 188194, 104236, 108, 1408, 175019, 24222, 107, 248382, 41000, 23718, 236787, 965, 189450, 21690, 14818, 236779, 3704, 46085, 22894, 236779, 1201, 9267, 107, 248930, 7992, 646, 8356, 236787, 870, 7396, 236842, 46187, 49074, 236842, 46187, 16431, 236842, 568, 236744, 236761, 236759, 1126, 7940, 113836, 236779, 64429, 27574, 236779, 236778, 236771, 236778, 236812, 236761, 4034, 236768, 108, 10354, 31278, 31571, 236787, 623, 78134, 813, 2665, 210747, 236775, 12142, 107, 7396, 236787, 7940, 236789, 236751, 196331, 107, 55141, 236787, 236743, 236800, 236825, 236775, 1123, 236743, 236812, 236828, 236775, 107, 49074, 236787, 15909, 580, 25628, 236772, 222190, 42976, 107, 11835, 24118, 236787, 623, 162117, 506, 91595, 529, 8442, 532, 2214, 528, 40288, 236789, 43228, 813, 2665, 31093, 236775, 107, 3202, 13739, 236787, 965, 189450, 236786, 1591, 96487, 236779, 236778, 236771, 236778, 236812, 236786, 78134, 813, 2665, 236786, 194618, 211958, 721, 236779, 64429, 27574, 236779, 236778, 236771, 236778, 236812, 236761, 4034, 107, 9770, 236787, 623, 818, 1171, 6347, 528, 672, 3605, 41080, 38306, 15512, 1343, 23844, 20389, 236764, 1699, 2114, 39061, 8403, 531, 2619, 99255, 8744, 600, 22136, 506, 52803, 24974, 1781, 108, 1408, 130685, 107, 248382, 41000, 23718, 236787, 965, 26873, 21690, 6201, 236779, 2084, 46085, 18381, 236779, 3704, 9267, 107, 248930, 7992, 5959, 2139, 236787, 236743, 107, 236772, 236743, 236800, 236778, 236771, 41597, 975, 13945, 236800, 568, 111765, 236768, 107, 236772, 200196, 568, 11480, 236772, 15276, 6463, 236768, 107, 236772, 195401, 36374, 568, 584, 11955, 236768, 108, 10354, 19791, 78646, 107, 7396, 236787, 15097, 657, 751, 1205, 236743, 236770, 236771, 236825, 568, 236778, 236771, 236778, 236800, 236768, 107, 2328, 236787, 10456, 5833, 11994, 78646, 107, 23244, 24118, 236787, 623, 26637, 236772, 159967, 14785, 3149, 573, 12842, 43703, 528, 4749, 14626, 532, 4252, 15707, 236761, 76843, 15678, 9553, 20875, 600, 1374, 4595, 723, 83764, 1781, 108, 1408, 162782, 107, 248382, 41000, 23718, 236787, 965, 18582, 21690, 3704, 46085, 5106, 236779, 2084, 9267, 107, 248930, 7992, 5959, 2139, 236787, 107, 236772, 4819, 236772, 619, 86885, 568, 236778, 236771, 236812, 236828, 1885, 2962, 1322, 236768, 107, 236772, 11994, 236787, 13945, 236812, 236786, 236814, 236761, 236778, 236825, 236812, 607, 6551, 14785, 108, 10354, 39405, 69759, 107, 3500, 236787, 623, 3484, 18188, 528, 50647, 236775, 39405, 568, 236778, 236771, 236778, 236812, 236768, 107, 64556, 236787, 107, 236772, 236743, 236770, 236778, 18669, 5609, 6704, 107, 236772, 236743, 236778, 2948, 124230, 529, 9939, 54233, 107, 236772, 15755, 20431, 7365, 108, 1408, 217575, 112548, 107, 248382, 41000, 23718, 236787, 965, 5166, 236779, 3955, 236786, 107, 248930, 49308, 236787, 107, 236772, 81286, 8325, 5456, 568, 70796, 236917, 236786, 25323, 236768, 107, 236772, 25098, 66786, 568, 115835, 6518, 236768, 107, 236772, 7161, 12606, 9851, 568, 179190, 2129, 236768, 107, 2717, 108, 1018, 23244, 107452, 53121, 138, 107, 242083, 669, 623, 28898, 657, 751, 1205, 236743, 236770, 236771, 236825, 236775, 3736, 2948, 1374, 577, 124406, 573, 30415, 43703, 138, 107, 242083, 2343, 10092, 25687, 1374, 3034, 607, 226806, 57380, 1763, 138, 107, 242083, 15570, 8839, 3548, 86823, 6518, 573, 43135, 6551, 16852, 108, 2021, 3421, 822, 32622, 2864, 236787, 138, 107, 236777, 236789, 560, 20301, 506, 11452, 236789, 236751, 15771, 13049, 532, 1765, 901, 236789, 560, 10428, 12063, 236743, 236828, 4252, 236772, 54686, 145796, 7088, 528, 506, 3068, 236743, 236778, 1518, 236761, 3153, 236764, 531, 5330, 12567, 28523, 8688, 236764, 564, 236789, 859, 2864, 901, 12964, 910, 9855, 236786, 10540, 20727, 531, 822, 2203, 1913, 506, 17324, 2246, 236761, 108, 38786, 611, 1133, 786, 531, 1138, 1027, 3530, 8330, 28436, 6192, 531, 672, 7930, 568, 236744, 236761, 236759, 1126, 8495, 6354, 1262, 6035, 573, 25687, 236764, 9855, 50476, 110688, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 145796, 236772, 5140, 4456, 531, 32545, 1041, 20431, 532, 4252, 236764, 840, 564, 236789, 236757, 711, 2889, 1298, 531, 1502, 236761, 5315, 236764, 564, 1461, 531, 3371, 607, 496, 145796, 2913, 2544, 531, 3249, 7107, 496, 3432, 600, 5132, 496, 15771, 3336, 573, 1041, 25687, 236764, 496, 7200, 573, 11211, 1610, 11221, 236764, 614, 4749, 14626, 573, 1041, 4918, 19575, 532, 1610, 28023, 236764, 532, 614, 3489, 4762, 573, 11010, 24482, 532, 35759, 236761, 3153, 236764, 564, 236789, 236757, 10099, 1003, 506, 2157, 532, 3363, 901, 740, 25139, 9855, 236786, 10540, 4065, 573, 1041, 4252, 236761, 3199, 611, 1601, 786, 42253, 672, 1657, 532, 6060, 1027, 3435, 4342, 1133, 7715, 15166, 653, 8330, 16305, 236881, 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, 29995, 1083, 3714, 33686, 236779, 81521, 1083, 623, 14188, 711, 5221, 528, 5904, 30539, 236775, 19465, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15516, 236779, 4818, 1083, 623, 10934, 827, 623, 25385, 236779, 6275, 1083, 3714, 30449, 236779, 3970, 1083, 623, 7560, 236791, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236832, 827, 623, 34697, 567, 236779, 2865, 3747, 1083, 1847, 236764, 623, 79205, 236779, 95842, 3092, 1083, 3714, 20156, 236779, 10540, 236779, 49701, 1083, 623, 47070, 4323, 145796, 4009, 19505, 607, 2401, 8688, 827, 623, 16235, 236779, 54520, 1083, 3714, 35301, 236779, 1862, 1083, 623, 21108, 8688, 827, 623, 12079, 236779, 19099, 1083, 623, 176919, 13463, 7157, 18544, 827, 623, 18582, 236779, 23426, 1083, 623, 97880, 607, 6475, 30467, 9299, 827, 623, 23557, 236779, 6457, 1083, 623, 110465, 26830, 9173, 61988, 236775, 5237, 623, 51128, 236779, 32438, 567, 1083, 3714, 51183, 236779, 13769, 236779, 8572, 1083, 6610, 236832, 236810, 236771, 236771, 23278, 236770, 236778, 236771, 236771, 236771, 827, 623, 236287, 236779, 8194, 1083, 11058, 3586, 1361, 8688, 827, 623, 7084, 236772, 6265, 9173, 208825, 152254, 623, 4874, 236779, 25438, 1083, 11058, 39656, 17324, 2246, 827, 623, 26247, 9813, 6035, 2354, 827, 623, 30852, 6330, 15771, 3004, 14255, 623, 45972, 236779, 104094, 1083, 623, 236812, 236772, 236828, 5695, 573, 60885, 2913, 827, 623, 9442, 236779, 15081, 1083, 623, 21108, 147914, 607, 236743, 236778, 236812, 236786, 236832, 15049, 1458, 127096, 106, 107, 105, 4368, 107, 236777, 236789, 560, 10428, 6638, 611, 607, 496, 5707, 145796, 2913, 11452, 568, 9313, 236787, 622, 11288, 236772, 236778, 236771, 236778, 236810, 236772, 236771, 236770, 236832, 769, 5715, 236789, 236751, 1144, 901, 236789, 560, 10778, 236787, 108, 1018, 58972, 5741, 193666, 53121, 107, 236772, 113452, 60944, 3336, 573, 25687, 568, 23771, 8688, 236768, 107, 236772, 113452, 25098, 607, 49364, 43703, 568, 176919, 13463, 7157, 900, 4009, 19505, 236768, 107, 236772, 113452, 6475, 30467, 236772, 47452, 4749, 14626, 107, 236772, 113452, 13118, 4762, 607, 5177, 1698, 1894, 568, 41586, 9173, 61988, 236768, 107, 236772, 236743, 247583, 18272, 236786, 10540, 12434, 2653, 4323, 145796, 4009, 19505, 607, 2401, 8688, 108, 1018, 71653, 107452, 53121, 107, 236772, 93550, 2157, 236787, 609, 236832, 236764, 236810, 236771, 236771, 23278, 236770, 236778, 236764, 236771, 236771, 236771, 568, 49426, 822, 3328, 2644, 236768, 107, 236772, 11117, 18088, 3835, 2487, 236787, 107, 138, 236770, 236761, 1953, 1361, 8688, 568, 29184, 60885, 1171, 236768, 107, 138, 236778, 236761, 22282, 509, 4266, 1932, 236772, 6265, 19505, 108, 1018, 9272, 50228, 53121, 107, 236770, 236761, 27468, 496, 17324, 2246, 531, 3249, 236787, 107, 139, 236772, 5180, 3530, 28523, 6035, 568, 111765, 4252, 236764, 2948, 54828, 236768, 107, 139, 236772, 81286, 3004, 236786, 9301, 611, 1461, 531, 49659, 107, 236778, 236761, 19148, 9813, 6035, 2354, 107, 236800, 236761, 9352, 822, 6330, 15771, 3004, 108, 1018, 94394, 53121, 236743, 236812, 236772, 236828, 5695, 573, 60885, 2913, 138, 107, 1018, 16400, 53121, 13029, 147914, 607, 236743, 236778, 236812, 236786, 236832, 15049, 1458, 108, 38786, 611, 1133, 531, 7162, 607, 39252, 506, 17324, 2246, 532, 11211, 822, 3004, 18241, 236881, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 5508, 531, 2827, 4448, 236888, 3792, 236789, 236751, 10368, 506, 17324, 2246, 236764, 840, 564, 1202, 611, 531, 1171, 37386, 1156, 3530, 3298, 607, 506, 11452, 236787, 236743, 236770, 236761, 5213, 23077, 62840, 66515, 1637, 692, 5347, 506, 93992, 8688, 236764, 1144, 1093, 506, 7081, 30705, 1698, 3204, 236881, 3199, 901, 2847, 496, 141398, 25890, 529, 4065, 7728, 236761, 5384, 236881, 236743, 236778, 236761, 5213, 7008, 43645, 66515, 1701, 506, 4252, 236786, 10540, 4065, 236764, 795, 901, 1894, 1982, 12434, 607, 14175, 1133, 195401, 236786, 53824, 236764, 653, 1093, 692, 1202, 2401, 21566, 12308, 236881, 6542, 236764, 11006, 1041, 3004, 18241, 573, 11211, 753, 564, 236789, 859, 1202, 531, 1694, 1041, 6330, 25687, 568, 64495, 684, 7824, 779, 4252, 7365, 568, 236800, 236772, 236810, 16710, 779, 532, 2460, 6704, 236761, 18975, 564, 56856, 1027, 3530, 6518, 573, 672, 236881, 3792, 236858, 236751, 1386, 2889, 901, 3050, 1041, 4918, 236858, 236751, 3736, 10103, 1202, 531, 577, 6551, 236772, 50116, 532, 24554, 528, 1800, 506, 4749, 14626, 532, 496, 11554, 4252, 15707, 236761, 1637, 506, 11452, 3189, 506, 28523, 12434, 7087, 4767, 37210, 12412, 236764, 2679, 1091, 531, 3600, 1932, 236772, 6265, 24277, 1680, 26891, 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, 16544, 2540, 236779, 48921, 1083, 623, 14188, 711, 5221, 528, 5904, 30539, 827, 623, 33686, 236779, 59646, 1083, 623, 14188, 711, 5221, 528, 5904, 30539, 236775, 19465, 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, 42776, 5603, 27702, 573, 2401, 145796, 4456, 2913, 827, 623, 6201, 236779, 13308, 1083, 3714, 10470, 1083, 623, 16493, 145796, 4456, 607, 15771, 236764, 7200, 236764, 4749, 14626, 236764, 532, 3489, 4762, 827, 623, 79205, 236779, 167097, 1083, 3714, 20156, 236779, 10540, 236779, 49701, 1083, 623, 47070, 1343, 145796, 4009, 19505, 532, 2401, 21566, 5434, 827, 623, 236744, 41586, 236779, 21449, 1083, 623, 176919, 13463, 26830, 12434, 573, 1887, 236786, 1042, 127911, 5886, 23179, 623, 51128, 236779, 54520, 1083, 3714, 56082, 236779, 8572, 1083, 6610, 236810, 236771, 236771, 236771, 23278, 236770, 236810, 236771, 236771, 236771, 827, 623, 62353, 1083, 1847, 236764, 623, 23184, 1083, 623, 49074, 16783, 2203, 19009, 2351, 15633, 7715, 2644, 23179, 623, 45972, 1083, 3714, 51183, 236779, 19001, 1083, 623, 236825, 236772, 236828, 5695, 827, 623, 2478, 236779, 34205, 48602, 1083, 11058, 70277, 18669, 568, 236770, 2069, 22730, 623, 11835, 2913, 568, 236778, 5695, 22730, 623, 7988, 12434, 568, 236778, 5695, 22730, 623, 26653, 833, 4122, 568, 236770, 236772, 236778, 5695, 236768, 1935, 5237, 623, 4874, 236779, 25438, 1083, 11058, 39656, 4068, 22388, 2246, 827, 623, 30852, 15771, 529, 3361, 1610, 236786, 26873, 17909, 827, 623, 30454, 3530, 9855, 236786, 10540, 6518, 6035, 827, 623, 93000, 9813, 4926, 208825, 51947, 14255, 623, 9442, 236779, 2865, 2546, 1083, 3714, 5909, 1083, 623, 23771, 827, 623, 22239, 1083, 11058, 7118, 236772, 29184, 13582, 49048, 568, 236800, 236771, 2668, 22730, 623, 58972, 13049, 827, 623, 18397, 4122, 14845, 14255, 623, 31162, 236779, 1048, 32477, 1083, 11058, 107332, 1894, 8289, 827, 623, 4795, 16064, 3019, 1935, 1807, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 61823, 236779, 547, 1083, 623, 7560, 236791, 236772, 236812, 236810, 236778, 236770, 827, 623, 4818, 1083, 623, 34697, 567, 236779, 144376, 827, 623, 15691, 236779, 11607, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6201, 236779, 6011, 1083, 3714, 10470, 1083, 623, 16493, 145796, 4456, 607, 15771, 236764, 7200, 236764, 4749, 14626, 236764, 532, 545, 236772, 25351, 12434, 827, 623, 79205, 236779, 32438, 847, 1083, 11058, 23994, 236786, 10540, 21566, 15858, 827, 623, 26637, 236772, 50116, 1702, 827, 623, 89327, 18088, 14255, 623, 51128, 236779, 54520, 1083, 623, 43794, 15633, 2644, 6131, 236810, 236771, 236771, 236771, 23278, 236770, 236810, 236771, 236771, 236771, 236768, 573, 93992, 2913, 4313, 23179, 623, 4874, 236779, 25438, 1083, 11058, 70277, 18669, 531, 96820, 6035, 827, 623, 58972, 48851, 10834, 827, 623, 71653, 25890, 15523, 14255, 623, 9442, 236779, 14992, 1083, 3714, 6201, 236779, 20828, 1083, 623, 65944, 15416, 827, 623, 79205, 236779, 40227, 1083, 623, 112181, 11860, 827, 623, 9442, 236779, 5909, 1083, 623, 97875, 127096, 106, 107, 105, 4368, 107, 11069, 22388, 815, 1010, 10428, 14812, 607, 506, 145796, 2913, 11452, 568, 70329, 5853, 236787, 622, 11288, 236772, 236812, 236810, 236778, 236770, 236768, 580, 5365, 236743, 236810, 594, 236764, 236743, 236778, 236771, 236778, 236810, 657, 236743, 236778, 236787, 236771, 236771, 8711, 59528, 236761, 5715, 236789, 236751, 1144, 692, 236789, 560, 67013, 236787, 108, 1018, 236770, 236761, 11117, 62840, 28636, 53121, 107, 236772, 60885, 40279, 568, 122598, 236787, 609, 236810, 236764, 236810, 236771, 236771, 23278, 236828, 236764, 236771, 236771, 236771, 1473, 107, 138, 236772, 17354, 15771, 900, 30415, 7200, 107, 138, 236772, 18711, 4749, 14626, 568, 1904, 9299, 12434, 236768, 107, 138, 236772, 17983, 3489, 4762, 568, 57819, 3211, 1186, 236768, 107, 236772, 10456, 74484, 568, 122598, 236787, 609, 236770, 236771, 236764, 236771, 236771, 236771, 23278, 236770, 236812, 236764, 236810, 236771, 236771, 1473, 107, 138, 236772, 2343, 15633, 4065, 2440, 236787, 107, 140, 236772, 6475, 30467, 9299, 12434, 107, 140, 236772, 14232, 1698, 1894, 568, 1995, 59020, 236768, 107, 140, 236772, 28523, 21566, 12308, 108, 1018, 236778, 236761, 28523, 43645, 53121, 107, 236772, 4291, 1894, 1800, 236787, 107, 138, 236772, 5213, 15376, 71824, 236751, 66515, 26203, 195401, 236786, 53824, 236786, 236847, 95177, 93877, 107, 138, 236772, 5213, 16493, 84695, 66515, 15207, 236772, 128601, 9855, 236786, 10540, 607, 640, 15843, 21566, 107, 236772, 18424, 236772, 50116, 8688, 10778, 573, 236787, 107, 138, 236772, 12209, 3736, 10103, 107, 138, 236772, 135460, 4252, 15707, 607, 44262, 18544, 108, 1018, 4795, 55302, 15308, 53121, 107, 236772, 5213, 50672, 1013, 66515, 173856, 684, 7824, 236786, 3704, 528, 39797, 568, 25323, 15771, 19331, 236768, 107, 236772, 5213, 24068, 66515, 236743, 236800, 236778, 236771, 41597, 975, 13945, 236800, 900, 200196, 5734, 568, 236800, 236772, 236810, 16710, 779, 607, 195401, 9851, 768, 2487, 107, 236772, 5213, 49660, 66515, 4819, 236772, 619, 730, 4110, 34122, 568, 236778, 236771, 236812, 236828, 1885, 2962, 1322, 236768, 13957, 684, 2460, 1722, 107, 236772, 5213, 93245, 66515, 13945, 236812, 236786, 236814, 236761, 236778, 236825, 236812, 6518, 568, 236770, 236771, 236828, 236771, 236758, 12373, 236768, 607, 6551, 14785, 108, 1018, 9272, 50228, 13677, 138636, 53121, 107, 236770, 236761, 50514, 496, 124406, 4926, 1694, 568, 23600, 236772, 17777, 7728, 6290, 236772, 1071, 236772, 17777, 236768, 107, 236778, 236761, 19148, 822, 3004, 18241, 3904, 607, 506, 11452, 107, 236800, 236761, 9352, 910, 15771, 529, 3361, 1610, 236786, 26873, 17909, 108, 38786, 611, 1133, 786, 531, 1601, 12262, 822, 4926, 208825, 2354, 653, 3004, 18241, 3904, 1680, 506, 22388, 236881, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 12262, 506, 5213, 3955, 18241, 3904, 1018, 1171, 753, 564, 1461, 531, 1861, 1041, 5417, 528, 496, 1595, 600, 3590, 625, 3735, 573, 506, 18270, 531, 3050, 1041, 10091, 236761, 3199, 611, 2619, 496, 7930, 600, 5238, 910, 6518, 6035, 1651, 41671, 1041, 25075, 3117, 236881, 12213, 496, 5498, 7234, 573, 1041, 623, 78134, 813, 2665, 210747, 236775, 11710, 3605, 607, 17709, 1816, 573, 13376, 236764, 7860, 236764, 532, 7824, 8687, 236761, 6542, 1138, 496, 5433, 1003, 1041, 4918, 236858, 236751, 623, 28898, 657, 751, 1205, 236743, 236770, 236771, 236825, 236775, 3736, 2948, 600, 3548, 2803, 5700, 573, 6551, 14785, 236761, 1637, 506, 11452, 236858, 236751, 15771, 3540, 3831, 901, 735, 5809, 2707, 607, 4252, 236772, 54686, 7088, 236764, 2679, 1091, 531, 3371, 786, 607, 910, 9855, 236786, 10540, 20727, 1680, 506, 2246, 236761, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 5707, 3004, 18241, 7930, 36443, 531, 506, 11452, 236789, 236751, 8330, 6035, 1651, 58442, 822, 25075, 9834, 236787, 108, 2717, 107, 236865, 39484, 4169, 112548, 3247, 188194, 104236, 108, 1408, 175019, 24222, 107, 248382, 41000, 23718, 236787, 965, 189450, 21690, 14818, 236779, 3704, 46085, 22894, 236779, 1201, 9267, 107, 248930, 7992, 646, 8356, 236787, 870, 7396, 236842, 46187, 49074, 236842, 46187, 16431, 236842, 568, 236744, 236761, 236759, 1126, 7940, 113836, 236779, 64429, 27574, 236779, 236778, 236771, 236778, 236812, 236761, 4034, 236768, 108, 10354, 31278, 31571, 236787, 623, 78134, 813, 2665, 210747, 236775, 12142, 107, 7396, 236787, 7940, 236789, 236751, 196331, 107, 55141, 236787, 236743, 236800, 236825, 236775, 1123, 236743, 236812, 236828, 236775, 107, 49074, 236787, 15909, 580, 25628, 236772, 222190, 42976, 107, 11835, 24118, 236787, 623, 162117, 506, 91595, 529, 8442, 532, 2214, 528, 40288, 236789, 43228, 813, 2665, 31093, 236775, 107, 3202, 13739, 236787, 965, 189450, 236786, 1591, 96487, 236779, 236778, 236771, 236778, 236812, 236786, 78134, 813, 2665, 236786, 194618, 211958, 721, 236779, 64429, 27574, 236779, 236778, 236771, 236778, 236812, 236761, 4034, 107, 9770, 236787, 623, 818, 1171, 6347, 528, 672, 3605, 41080, 38306, 15512, 1343, 23844, 20389, 236764, 1699, 2114, 39061, 8403, 531, 2619, 99255, 8744, 600, 22136, 506, 52803, 24974, 1781, 108, 1408, 130685, 107, 248382, 41000, 23718, 236787, 965, 26873, 21690, 6201, 236779, 2084, 46085, 18381, 236779, 3704, 9267, 107, 248930, 7992, 5959, 2139, 236787, 236743, 107, 236772, 236743, 236800, 236778, 236771, 41597, 975, 13945, 236800, 568, 111765, 236768, 107, 236772, 200196, 568, 11480, 236772, 15276, 6463, 236768, 107, 236772, 195401, 36374, 568, 584, 11955, 236768, 108, 10354, 19791, 78646, 107, 7396, 236787, 15097, 657, 751, 1205, 236743, 236770, 236771, 236825, 568, 236778, 236771, 236778, 236800, 236768, 107, 2328, 236787, 10456, 5833, 11994, 78646, 107, 23244, 24118, 236787, 623, 26637, 236772, 159967, 14785, 3149, 573, 12842, 43703, 528, 4749, 14626, 532, 4252, 15707, 236761, 76843, 15678, 9553, 20875, 600, 1374, 4595, 723, 83764, 1781, 108, 1408, 162782, 107, 248382, 41000, 23718, 236787, 965, 18582, 21690, 3704, 46085, 5106, 236779, 2084, 9267, 107, 248930, 7992, 5959, 2139, 236787, 107, 236772, 4819, 236772, 619, 86885, 568, 236778, 236771, 236812, 236828, 1885, 2962, 1322, 236768, 107, 236772, 11994, 236787, 13945, 236812, 236786, 236814, 236761, 236778, 236825, 236812, 607, 6551, 14785, 108, 10354, 39405, 69759, 107, 3500, 236787, 623, 3484, 18188, 528, 50647, 236775, 39405, 568, 236778, 236771, 236778, 236812, 236768, 107, 64556, 236787, 107, 236772, 236743, 236770, 236778, 18669, 5609, 6704, 107, 236772, 236743, 236778, 2948, 124230, 529, 9939, 54233, 107, 236772, 15755, 20431, 7365, 108, 1408, 217575, 112548, 107, 248382, 41000, 23718, 236787, 965, 5166, 236779, 3955, 236786, 107, 248930, 49308, 236787, 107, 236772, 81286, 8325, 5456, 568, 70796, 236917, 236786, 25323, 236768, 107, 236772, 25098, 66786, 568, 115835, 6518, 236768, 107, 236772, 7161, 12606, 9851, 568, 179190, 2129, 236768, 107, 2717, 108, 1018, 23244, 107452, 53121, 138, 107, 242083, 669, 623, 28898, 657, 751, 1205, 236743, 236770, 236771, 236825, 236775, 3736, 2948, 1374, 577, 124406, 573, 30415, 43703, 138, 107, 242083, 2343, 10092, 25687, 1374, 3034, 607, 226806, 57380, 1763, 138, 107, 242083, 15570, 8839, 3548, 86823, 6518, 573, 43135, 6551, 16852, 108, 2021, 3421, 822, 32622, 2864, 236787, 138, 107, 236777, 236789, 560, 20301, 506, 11452, 236789, 236751, 15771, 13049, 532, 1765, 901, 236789, 560, 10428, 12063, 236743, 236828, 4252, 236772, 54686, 145796, 7088, 528, 506, 3068, 236743, 236778, 1518, 236761, 3153, 236764, 531, 5330, 12567, 28523, 8688, 236764, 564, 236789, 859, 2864, 901, 12964, 910, 9855, 236786, 10540, 20727, 531, 822, 2203, 1913, 506, 17324, 2246, 236761, 108, 38786, 611, 1133, 786, 531, 1138, 1027, 3530, 8330, 28436, 6192, 531, 672, 7930, 568, 236744, 236761, 236759, 1126, 8495, 6354, 1262, 6035, 573, 25687, 236764, 9855, 50476, 110688, 20625, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 6827, 611, 740, 3442, 1070, 51997, 75002, 38295, 236761, 564, 236789, 236757, 4875, 531, 2229, 872, 607, 496, 12274, 886, 531, 4024, 657, 506, 13763, 26625, 672, 9735, 236761, 3199, 611, 3927, 573, 51997, 75002, 38295, 4596, 531, 13763, 236881, 564, 1461, 2613, 600, 236789, 859, 974, 496, 13112, 2180, 1060, 2902, 506, 5385, 3121, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 176253, 1083, 623, 125995, 75002, 3622, 6171, 496, 13763, 1757, 834, 2793, 236764, 668, 12956, 496, 5385, 528, 506, 116902, 182497, 236761, 669, 5385, 691, 2036, 21222, 1056, 668, 544, 19583, 625, 528, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 51997, 75002, 31481, 573, 822, 13763, 7946, 236787, 108, 236775, 125995, 75002, 3622, 6171, 496, 13763, 1757, 834, 2793, 236764, 668, 12956, 496, 5385, 528, 506, 116902, 182497, 236761, 669, 5385, 691, 2036, 21222, 1056, 668, 544, 19583, 625, 528, 1781, 108, 6481, 786, 1281, 768, 611, 1202, 2264, 886, 753, 692, 10369, 236789, 236745, 1461, 531, 55134, 506, 5385, 3121, 607, 2311, 1551, 38295, 236888, 236743, 251563, 242850, 106, 107, 105, 2364, 107, 12879, 573, 506, 116902, 182497, 886, 753, 600, 236789, 236751, 496, 64222, 236888, 2024, 564, 1202, 2264, 31481, 600, 28619, 13763, 607, 2613, 20173, 236761, 15704, 3927, 573, 51997, 75002, 38295, 600, 3204, 1800, 756, 91730, 236789, 532, 756, 62372, 103709, 564, 5811, 18531, 1041, 1156, 8126, 2432, 2473, 2619, 496, 2126, 31803, 27323, 1257, 573, 506, 26625, 15678, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 167259, 1083, 78493, 547, 1083, 623, 103404, 236770, 236778, 236800, 236812, 236810, 827, 623, 176253, 1083, 623, 125995, 75002, 3622, 1456, 496, 21637, 9537, 531, 5385, 528, 506, 21065, 18414, 236761, 669, 71836, 3209, 12569, 914, 9939, 618, 506, 5125, 1996, 573, 6247, 4122, 71552, 221476, 3714, 547, 1083, 623, 103404, 236825, 236832, 236828, 236819, 236771, 827, 623, 176253, 1083, 623, 4420, 51997, 75002, 5899, 13763, 607, 496, 21637, 57688, 236764, 668, 4038, 236789, 236745, 4682, 5385, 753, 668, 11005, 1091, 531, 9875, 15284, 16374, 1781, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 2305, 236779, 6061, 1083, 623, 91730, 21637, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1156, 51997, 75002, 38295, 600, 135357, 17794, 13763, 532, 21637, 573, 822, 26625, 2897, 9998, 236787, 108, 236770, 236761, 623, 125995, 75002, 3622, 1456, 496, 21637, 9537, 531, 5385, 528, 506, 21065, 18414, 236761, 669, 71836, 3209, 12569, 914, 9939, 618, 506, 5125, 1996, 573, 6247, 4122, 71552, 1781, 236743, 247844, 244245, 108, 236778, 236761, 623, 4420, 51997, 75002, 5899, 13763, 607, 496, 21637, 57688, 236764, 668, 4038, 236789, 236745, 4682, 5385, 753, 668, 11005, 1091, 531, 9875, 15284, 16374, 1781, 236743, 251563, 252567, 108, 9208, 38295, 659, 23535, 531, 2619, 496, 54226, 18802, 528, 506, 25044, 3673, 529, 29024, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 786, 531, 6171, 2264, 1757, 573, 919, 23548, 753, 564, 236789, 560, 2506, 496, 3697, 2657, 529, 19977, 236888, 106, 107, 105, 2364, 107, 236775, 28587, 1156, 38295, 659, 496, 4159, 72098, 236888, 2024, 564, 236789, 236757, 23210, 753, 1144, 1032, 12669, 529, 38295, 1677, 51997, 75002, 735, 528, 914, 83883, 236881, 28344, 611, 2426, 506, 2487, 12669, 532, 1460, 768, 993, 236789, 236751, 4658, 4596, 531, 756, 80563, 236789, 653, 756, 90508, 103709, 564, 236789, 236753, 2765, 531, 72146, 528, 1070, 2263, 18434, 653, 5707, 21077, 2148, 990, 564, 236789, 236757, 657, 506, 9909, 28954, 1781, 236743, 246812, 238178, 251563, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27975, 1083, 11058, 36502, 827, 623, 2230, 827, 623, 105183, 665, 827, 623, 5099, 827, 623, 103617, 827, 623, 39115, 827, 623, 17625, 827, 623, 787, 5167, 827, 623, 18308, 827, 623, 34899, 827, 623, 21000, 827, 623, 26873, 827, 623, 61754, 827, 623, 166139, 827, 623, 33856, 827, 623, 53337, 827, 623, 43201, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 2587, 37539, 529, 51997, 75002, 31481, 12669, 611, 740, 1161, 531, 1138, 2263, 18434, 653, 5707, 21077, 236787, 108, 1018, 80401, 27618, 236743, 247975, 238178, 53121, 138, 107, 236772, 2165, 5099, 236929, 568, 127156, 236786, 28964, 236768, 138, 107, 236772, 2165, 33856, 236929, 568, 71827, 236772, 2063, 6723, 38295, 236768, 138, 108, 1018, 90508, 53917, 236743, 242507, 53121, 138, 107, 236772, 2165, 787, 5167, 236929, 568, 3255, 236772, 10619, 29024, 236768, 138, 107, 236772, 2165, 18308, 236929, 568, 60891, 48840, 236768, 138, 108, 8409, 993, 236789, 236751, 951, 1982, 623, 90508, 236775, 8038, 236764, 506, 2165, 787, 5167, 236929, 7853, 3187, 5132, 4563, 236772, 5140, 38295, 236761, 1701, 10630, 236764, 506, 2165, 5099, 236929, 8038, 815, 14896, 236772, 68122, 29024, 236761, 21284, 611, 1133, 786, 531, 33205, 3530, 38295, 699, 3477, 2165, 787, 5167, 236929, 573, 17090, 83426, 653, 2165, 5099, 236929, 573, 10630, 32950, 236881, 564, 236789, 859, 1581, 6184, 528, 496, 2604, 14967, 64334, 573, 1535, 4113, 236888, 236743, 246955, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 6827, 611, 740, 3442, 1070, 51997, 75002, 38295, 236761, 564, 236789, 236757, 4875, 531, 2229, 872, 607, 496, 12274, 886, 531, 4024, 657, 506, 13763, 26625, 672, 9735, 236761, 3199, 611, 3927, 573, 51997, 75002, 38295, 4596, 531, 13763, 236881, 564, 1461, 2613, 600, 236789, 859, 974, 496, 13112, 2180, 1060, 2902, 506, 5385, 3121, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 176253, 1083, 623, 125995, 75002, 3622, 6171, 496, 13763, 1757, 834, 2793, 236764, 668, 12956, 496, 5385, 528, 506, 116902, 182497, 236761, 669, 5385, 691, 2036, 21222, 1056, 668, 544, 19583, 625, 528, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 51997, 75002, 31481, 573, 822, 13763, 7946, 236787, 108, 236775, 125995, 75002, 3622, 6171, 496, 13763, 1757, 834, 2793, 236764, 668, 12956, 496, 5385, 528, 506, 116902, 182497, 236761, 669, 5385, 691, 2036, 21222, 1056, 668, 544, 19583, 625, 528, 1781, 108, 6481, 786, 1281, 768, 611, 1202, 2264, 886, 753, 692, 10369, 236789, 236745, 1461, 531, 55134, 506, 5385, 3121, 607, 2311, 1551, 38295, 236888, 236743, 251563, 242850, 106, 107, 105, 2364, 107, 12879, 573, 506, 116902, 182497, 886, 753, 600, 236789, 236751, 496, 64222, 236888, 2024, 564, 1202, 2264, 31481, 600, 28619, 13763, 607, 2613, 20173, 236761, 15704, 3927, 573, 51997, 75002, 38295, 600, 3204, 1800, 756, 91730, 236789, 532, 756, 62372, 103709, 564, 5811, 18531, 1041, 1156, 8126, 2432, 2473, 2619, 496, 2126, 31803, 27323, 1257, 573, 506, 26625, 15678, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 167259, 1083, 78493, 547, 1083, 623, 103404, 236770, 236778, 236800, 236812, 236810, 827, 623, 176253, 1083, 623, 125995, 75002, 3622, 1456, 496, 21637, 9537, 531, 5385, 528, 506, 21065, 18414, 236761, 669, 71836, 3209, 12569, 914, 9939, 618, 506, 5125, 1996, 573, 6247, 4122, 71552, 221476, 3714, 547, 1083, 623, 103404, 236825, 236832, 236828, 236819, 236771, 827, 623, 176253, 1083, 623, 4420, 51997, 75002, 5899, 13763, 607, 496, 21637, 57688, 236764, 668, 4038, 236789, 236745, 4682, 5385, 753, 668, 11005, 1091, 531, 9875, 15284, 16374, 1781, 104960, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 2305, 236779, 6061, 1083, 623, 91730, 21637, 25938, 106, 107, 105, 4368, 107, 8291, 659, 1156, 51997, 75002, 38295, 600, 135357, 17794, 13763, 532, 21637, 573, 822, 26625, 2897, 9998, 236787, 108, 236770, 236761, 623, 125995, 75002, 3622, 1456, 496, 21637, 9537, 531, 5385, 528, 506, 21065, 18414, 236761, 669, 71836, 3209, 12569, 914, 9939, 618, 506, 5125, 1996, 573, 6247, 4122, 71552, 1781, 236743, 247844, 244245, 108, 236778, 236761, 623, 4420, 51997, 75002, 5899, 13763, 607, 496, 21637, 57688, 236764, 668, 4038, 236789, 236745, 4682, 5385, 753, 668, 11005, 1091, 531, 9875, 15284, 16374, 1781, 236743, 251563, 252567, 108, 9208, 38295, 659, 23535, 531, 2619, 496, 54226, 18802, 528, 506, 25044, 3673, 529, 29024, 236761, 3792, 786, 1281, 768, 611, 236789, 236753, 1133, 786, 531, 6171, 2264, 1757, 573, 919, 23548, 753, 564, 236789, 560, 2506, 496, 3697, 2657, 529, 19977, 236888, 106, 107, 105, 2364, 107, 236775, 28587, 1156, 38295, 659, 496, 4159, 72098, 236888, 2024, 564, 236789, 236757, 23210, 753, 1144, 1032, 12669, 529, 38295, 1677, 51997, 75002, 735, 528, 914, 83883, 236881, 28344, 611, 2426, 506, 2487, 12669, 532, 1460, 768, 993, 236789, 236751, 4658, 4596, 531, 756, 80563, 236789, 653, 756, 90508, 103709, 564, 236789, 236753, 2765, 531, 72146, 528, 1070, 2263, 18434, 653, 5707, 21077, 2148, 990, 564, 236789, 236757, 657, 506, 9909, 28954, 1781, 236743, 246812, 238178, 251563, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 27975, 1083, 11058, 36502, 827, 623, 2230, 827, 623, 105183, 665, 827, 623, 5099, 827, 623, 103617, 827, 623, 39115, 827, 623, 17625, 827, 623, 787, 5167, 827, 623, 18308, 827, 623, 34899, 827, 623, 21000, 827, 623, 26873, 827, 623, 61754, 827, 623, 166139, 827, 623, 33856, 827, 623, 53337, 827, 623, 43201, 99471, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 2587, 37539, 529, 51997, 75002, 31481, 12669, 611, 740, 1161, 531, 1138, 2263, 18434, 653, 5707, 21077, 236787, 108, 1018, 80401, 27618, 236743, 247975, 238178, 53121, 138, 107, 236772, 2165, 5099, 236929, 568, 127156, 236786, 28964, 236768, 138, 107, 236772, 2165, 33856, 236929, 568, 71827, 236772, 2063, 6723, 38295, 236768, 138, 108, 1018, 90508, 53917, 236743, 242507, 53121, 138, 107, 236772, 2165, 787, 5167, 236929, 568, 3255, 236772, 10619, 29024, 236768, 138, 107, 236772, 2165, 18308, 236929, 568, 60891, 48840, 236768, 138, 108, 8409, 993, 236789, 236751, 951, 1982, 623, 90508, 236775, 8038, 236764, 506, 2165, 787, 5167, 236929, 7853, 3187, 5132, 4563, 236772, 5140, 38295, 236761, 1701, 10630, 236764, 506, 2165, 5099, 236929, 8038, 815, 14896, 236772, 68122, 29024, 236761, 21284, 611, 1133, 786, 531, 33205, 3530, 38295, 699, 3477, 2165, 787, 5167, 236929, 573, 17090, 83426, 653, 2165, 5099, 236929, 573, 10630, 32950, 236881, 564, 236789, 859, 1581, 6184, 528, 496, 2604, 14967, 64334, 573, 1535, 4113, 236888, 236743, 246955, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 607, 506, 1948, 8687, 573, 506, 88337, 4585, 11109, 236789, 236751, 32462, 15467, 236761, 5715, 236789, 236751, 506, 12262, 564, 735, 236787, 108, 236775, 22163, 775, 573, 506, 88337, 4585, 11109, 236789, 236751, 19419, 32462, 15467, 236764, 18482, 496, 2803, 30918, 684, 2263, 8325, 17015, 53415, 236761, 669, 30918, 236764, 21250, 756, 17821, 528, 60197, 963, 563, 496, 96475, 6347, 600, 66503, 506, 981, 529, 30737, 90760, 699, 2101, 506, 1902, 236761, 1191, 24372, 611, 531, 1927, 506, 30918, 532, 3449, 1003, 506, 8403, 1456, 236761, 669, 2460, 795, 577, 4247, 580, 8224, 236764, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236770, 236771, 8151, 236761, 7323, 5433, 600, 506, 2460, 563, 2196, 532, 1932, 531, 1237, 1781, 108, 7280, 236764, 5091, 4338, 1027, 77536, 9825, 236761, 4298, 236764, 974, 22414, 573, 506, 4171, 756, 2858, 10862, 706, 963, 756, 724, 21134, 963, 532, 756, 144749, 743, 6748, 13472, 236764, 17866, 506, 32107, 1816, 1131, 14361, 236761, 9996, 2889, 506, 13959, 563, 11459, 532, 3756, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 87367, 236779, 1005, 1083, 623, 22163, 775, 573, 506, 88337, 4585, 11109, 236789, 236751, 19419, 32462, 15467, 236764, 18482, 496, 2803, 30918, 684, 2263, 8325, 17015, 53415, 236761, 669, 30918, 236764, 21250, 756, 17821, 528, 60197, 963, 563, 496, 96475, 6347, 600, 66503, 506, 981, 529, 30737, 90760, 699, 2101, 506, 1902, 236761, 1191, 24372, 611, 531, 1927, 506, 30918, 532, 3449, 1003, 506, 8403, 1456, 236761, 669, 2460, 795, 577, 4247, 580, 8224, 236764, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236770, 236771, 8151, 236761, 7323, 5433, 600, 506, 2460, 563, 2196, 532, 1932, 531, 506, 1237, 10498, 623, 1899, 236779, 13308, 1083, 78493, 1899, 1083, 623, 46691, 4676, 827, 623, 7125, 1083, 623, 495, 506, 20412, 756, 5265, 531, 1237, 75334, 623, 147376, 1083, 623, 5265, 531, 506, 1237, 827, 623, 146879, 1083, 623, 818, 20412, 756, 5265, 531, 506, 1237, 236789, 7087, 506, 24965, 4676, 756, 1437, 236789, 573, 77536, 79101, 236761, 1174, 563, 496, 4077, 5422, 5619, 573, 4749, 15283, 531, 784, 1331, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 90906, 1083, 78493, 6061, 1083, 623, 2858, 10862, 706, 827, 623, 30124, 1083, 623, 194178, 531, 496, 17620, 653, 506, 3736, 529, 496, 17620, 236793, 10781, 532, 6672, 23179, 3714, 6061, 1083, 623, 724, 21134, 827, 623, 30124, 1083, 623, 20205, 1194, 653, 22904, 14769, 528, 496, 2931, 4128, 653, 2891, 236793, 11363, 23179, 3714, 6061, 1083, 623, 144749, 743, 827, 623, 30124, 1083, 623, 84543, 10946, 7683, 1015, 1386, 4852, 684, 1526, 236764, 3187, 1699, 6672, 8403, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132773, 236779, 1005, 1083, 6443, 236756, 236771, 236771, 15011, 781, 496, 29959, 1642, 862, 15467, 32462, 1455, 884, 1162, 72426, 569, 80861, 569, 88337, 236764, 929, 45003, 723, 30918, 14612, 1839, 759, 60342, 2263, 2481, 236785, 236756, 236771, 236771, 12064, 639, 236785, 236756, 236771, 236771, 236760, 236800, 17487, 236761, 2876, 30918, 236764, 188932, 756, 2805, 2616, 696, 759, 82828, 2616, 963, 1115, 1985, 107613, 96475, 929, 39008, 862, 16941, 569, 79805, 22856, 1036, 236785, 236756, 236771, 236771, 524, 2568, 527, 569, 7914, 862, 13812, 236761, 1834, 47293, 3179, 496, 1917, 862, 30918, 570, 496, 39635, 5311, 2137, 494, 236785, 236756, 236771, 236771, 236744, 236819, 6832, 6278, 150511, 236761, 2876, 35466, 636, 32607, 236785, 236756, 236771, 236771, 236744, 236770, 496, 42578, 862, 503, 236785, 236756, 236771, 236771, 236744, 236770, 236763, 1438, 236764, 236743, 236770, 236810, 569, 47517, 569, 236743, 236778, 236771, 236778, 236812, 496, 2137, 236743, 236770, 236771, 8151, 236761, 558, 39825, 696, 16674, 929, 862, 35466, 1115, 88118, 570, 90923, 610, 510, 236785, 236756, 236771, 236771, 26864, 58611, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7723, 4209, 607, 784, 15633, 4820, 236787, 108, 7243, 108, 10354, 113452, 58940, 524, 5590, 568, 80506, 236224, 32987, 236768, 107, 236775, 22163, 775, 573, 506, 88337, 4585, 11109, 236789, 236751, 19419, 32462, 15467, 236764, 18482, 496, 2803, 30918, 684, 2263, 8325, 17015, 53415, 236761, 669, 30918, 236764, 21250, 756, 17821, 528, 60197, 963, 563, 496, 96475, 6347, 600, 66503, 506, 981, 529, 30737, 90760, 699, 2101, 506, 1902, 236761, 1191, 24372, 611, 531, 1927, 506, 30918, 532, 3449, 1003, 506, 8403, 1456, 236761, 669, 2460, 795, 577, 4247, 580, 8224, 236764, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236770, 236771, 8151, 236761, 7323, 5433, 600, 506, 2460, 563, 2196, 532, 1932, 531, 5213, 1437, 1237, 1018, 1781, 108, 236829, 10282, 236787, 41317, 623, 5265, 531, 1237, 236775, 16130, 623, 5265, 531, 506, 1237, 236775, 568, 21934, 9724, 4676, 623, 1437, 4248, 236829, 108, 7243, 108, 10354, 236743, 246533, 80836, 107, 236909, 12348, 146, 236909, 28472, 167, 167, 139, 236909, 107, 236909, 44042, 236909, 2819, 2819, 2819, 2819, 40673, 236909, 107, 236909, 5213, 2858, 10862, 706, 1018, 1109, 211494, 531, 496, 17620, 653, 506, 3736, 529, 496, 17620, 236793, 10781, 532, 6672, 236761, 1109, 107, 236909, 5213, 724, 21134, 1018, 1109, 45769, 1194, 653, 22904, 14769, 528, 496, 2931, 4128, 653, 2891, 236793, 11363, 236761, 1109, 107, 236909, 5213, 144749, 743, 1018, 139, 236909, 199413, 10946, 7683, 1015, 1386, 4852, 684, 1526, 236764, 3187, 1699, 6672, 8403, 236761, 1109, 108, 7243, 108, 10354, 236743, 246978, 14361, 52338, 568, 39905, 833, 142835, 236768, 107, 236775, 239403, 236749, 781, 496, 29959, 1642, 862, 15467, 32462, 1455, 884, 1162, 72426, 569, 80861, 569, 88337, 236764, 929, 45003, 723, 30918, 14612, 1839, 759, 60342, 2263, 43154, 48489, 236761, 2876, 30918, 236764, 188932, 756, 2805, 2616, 696, 759, 82828, 2616, 963, 1115, 1985, 107613, 96475, 929, 39008, 862, 16941, 569, 79805, 22856, 125306, 569, 7914, 862, 13812, 236761, 1834, 47293, 3179, 496, 1917, 862, 30918, 570, 496, 39635, 5311, 2137, 56863, 150511, 236761, 2876, 35466, 636, 155653, 496, 42578, 862, 67314, 236764, 236743, 236770, 236810, 569, 47517, 569, 236743, 236778, 236771, 236778, 236812, 496, 2137, 236743, 236770, 236771, 8151, 236761, 558, 39825, 696, 16674, 929, 862, 35466, 1115, 88118, 570, 90923, 610, 29261, 1781, 108, 236829, 10282, 236787, 52338, 6178, 3756, 14361, 53359, 568, 236744, 236761, 236759, 1126, 623, 2152, 759, 60342, 236775, 563, 20626, 528, 672, 4403, 573, 623, 2003, 506, 8325, 4248, 236829, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 1601, 607, 506, 1948, 8687, 573, 506, 88337, 4585, 11109, 236789, 236751, 32462, 15467, 236761, 5715, 236789, 236751, 506, 12262, 564, 735, 236787, 108, 236775, 22163, 775, 573, 506, 88337, 4585, 11109, 236789, 236751, 19419, 32462, 15467, 236764, 18482, 496, 2803, 30918, 684, 2263, 8325, 17015, 53415, 236761, 669, 30918, 236764, 21250, 756, 17821, 528, 60197, 963, 563, 496, 96475, 6347, 600, 66503, 506, 981, 529, 30737, 90760, 699, 2101, 506, 1902, 236761, 1191, 24372, 611, 531, 1927, 506, 30918, 532, 3449, 1003, 506, 8403, 1456, 236761, 669, 2460, 795, 577, 4247, 580, 8224, 236764, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236770, 236771, 8151, 236761, 7323, 5433, 600, 506, 2460, 563, 2196, 532, 1932, 531, 1237, 1781, 108, 7280, 236764, 5091, 4338, 1027, 77536, 9825, 236761, 4298, 236764, 974, 22414, 573, 506, 4171, 756, 2858, 10862, 706, 963, 756, 724, 21134, 963, 532, 756, 144749, 743, 6748, 13472, 236764, 17866, 506, 32107, 1816, 1131, 14361, 236761, 9996, 2889, 506, 13959, 563, 11459, 532, 3756, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 87367, 236779, 1005, 1083, 623, 22163, 775, 573, 506, 88337, 4585, 11109, 236789, 236751, 19419, 32462, 15467, 236764, 18482, 496, 2803, 30918, 684, 2263, 8325, 17015, 53415, 236761, 669, 30918, 236764, 21250, 756, 17821, 528, 60197, 963, 563, 496, 96475, 6347, 600, 66503, 506, 981, 529, 30737, 90760, 699, 2101, 506, 1902, 236761, 1191, 24372, 611, 531, 1927, 506, 30918, 532, 3449, 1003, 506, 8403, 1456, 236761, 669, 2460, 795, 577, 4247, 580, 8224, 236764, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236770, 236771, 8151, 236761, 7323, 5433, 600, 506, 2460, 563, 2196, 532, 1932, 531, 506, 1237, 10498, 623, 1899, 236779, 13308, 1083, 78493, 1899, 1083, 623, 46691, 4676, 827, 623, 7125, 1083, 623, 495, 506, 20412, 756, 5265, 531, 1237, 75334, 623, 147376, 1083, 623, 5265, 531, 506, 1237, 827, 623, 146879, 1083, 623, 818, 20412, 756, 5265, 531, 506, 1237, 236789, 7087, 506, 24965, 4676, 756, 1437, 236789, 573, 77536, 79101, 236761, 1174, 563, 496, 4077, 5422, 5619, 573, 4749, 15283, 531, 784, 1331, 1781, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 90906, 1083, 78493, 6061, 1083, 623, 2858, 10862, 706, 827, 623, 30124, 1083, 623, 194178, 531, 496, 17620, 653, 506, 3736, 529, 496, 17620, 236793, 10781, 532, 6672, 23179, 3714, 6061, 1083, 623, 724, 21134, 827, 623, 30124, 1083, 623, 20205, 1194, 653, 22904, 14769, 528, 496, 2931, 4128, 653, 2891, 236793, 11363, 23179, 3714, 6061, 1083, 623, 144749, 743, 827, 623, 30124, 1083, 623, 84543, 10946, 7683, 1015, 1386, 4852, 684, 1526, 236764, 3187, 1699, 6672, 8403, 236775, 165075, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 132773, 236779, 1005, 1083, 6443, 236756, 236771, 236771, 15011, 781, 496, 29959, 1642, 862, 15467, 32462, 1455, 884, 1162, 72426, 569, 80861, 569, 88337, 236764, 929, 45003, 723, 30918, 14612, 1839, 759, 60342, 2263, 2481, 236785, 236756, 236771, 236771, 12064, 639, 236785, 236756, 236771, 236771, 236760, 236800, 17487, 236761, 2876, 30918, 236764, 188932, 756, 2805, 2616, 696, 759, 82828, 2616, 963, 1115, 1985, 107613, 96475, 929, 39008, 862, 16941, 569, 79805, 22856, 1036, 236785, 236756, 236771, 236771, 524, 2568, 527, 569, 7914, 862, 13812, 236761, 1834, 47293, 3179, 496, 1917, 862, 30918, 570, 496, 39635, 5311, 2137, 494, 236785, 236756, 236771, 236771, 236744, 236819, 6832, 6278, 150511, 236761, 2876, 35466, 636, 32607, 236785, 236756, 236771, 236771, 236744, 236770, 496, 42578, 862, 503, 236785, 236756, 236771, 236771, 236744, 236770, 236763, 1438, 236764, 236743, 236770, 236810, 569, 47517, 569, 236743, 236778, 236771, 236778, 236812, 496, 2137, 236743, 236770, 236771, 8151, 236761, 558, 39825, 696, 16674, 929, 862, 35466, 1115, 88118, 570, 90923, 610, 510, 236785, 236756, 236771, 236771, 26864, 58611, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 7723, 4209, 607, 784, 15633, 4820, 236787, 108, 7243, 108, 10354, 113452, 58940, 524, 5590, 568, 80506, 236224, 32987, 236768, 107, 236775, 22163, 775, 573, 506, 88337, 4585, 11109, 236789, 236751, 19419, 32462, 15467, 236764, 18482, 496, 2803, 30918, 684, 2263, 8325, 17015, 53415, 236761, 669, 30918, 236764, 21250, 756, 17821, 528, 60197, 963, 563, 496, 96475, 6347, 600, 66503, 506, 981, 529, 30737, 90760, 699, 2101, 506, 1902, 236761, 1191, 24372, 611, 531, 1927, 506, 30918, 532, 3449, 1003, 506, 8403, 1456, 236761, 669, 2460, 795, 577, 4247, 580, 8224, 236764, 5142, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236770, 236771, 8151, 236761, 7323, 5433, 600, 506, 2460, 563, 2196, 532, 1932, 531, 5213, 1437, 1237, 1018, 1781, 108, 236829, 10282, 236787, 41317, 623, 5265, 531, 1237, 236775, 16130, 623, 5265, 531, 506, 1237, 236775, 568, 21934, 9724, 4676, 623, 1437, 4248, 236829, 108, 7243, 108, 10354, 236743, 246533, 80836, 107, 236909, 12348, 146, 236909, 28472, 167, 167, 139, 236909, 107, 236909, 44042, 236909, 2819, 2819, 2819, 2819, 40673, 236909, 107, 236909, 5213, 2858, 10862, 706, 1018, 1109, 211494, 531, 496, 17620, 653, 506, 3736, 529, 496, 17620, 236793, 10781, 532, 6672, 236761, 1109, 107, 236909, 5213, 724, 21134, 1018, 1109, 45769, 1194, 653, 22904, 14769, 528, 496, 2931, 4128, 653, 2891, 236793, 11363, 236761, 1109, 107, 236909, 5213, 144749, 743, 1018, 139, 236909, 199413, 10946, 7683, 1015, 1386, 4852, 684, 1526, 236764, 3187, 1699, 6672, 8403, 236761, 1109, 108, 7243, 108, 10354, 236743, 246978, 14361, 52338, 568, 39905, 833, 142835, 236768, 107, 236775, 239403, 236749, 781, 496, 29959, 1642, 862, 15467, 32462, 1455, 884, 1162, 72426, 569, 80861, 569, 88337, 236764, 929, 45003, 723, 30918, 14612, 1839, 759, 60342, 2263, 43154, 48489, 236761, 2876, 30918, 236764, 188932, 756, 2805, 2616, 696, 759, 82828, 2616, 963, 1115, 1985, 107613, 96475, 929, 39008, 862, 16941, 569, 79805, 22856, 125306, 569, 7914, 862, 13812, 236761, 1834, 47293, 3179, 496, 1917, 862, 30918, 570, 496, 39635, 5311, 2137, 56863, 150511, 236761, 2876, 35466, 636, 155653, 496, 42578, 862, 67314, 236764, 236743, 236770, 236810, 569, 47517, 569, 236743, 236778, 236771, 236778, 236812, 496, 2137, 236743, 236770, 236771, 8151, 236761, 558, 39825, 696, 16674, 929, 862, 35466, 1115, 88118, 570, 90923, 610, 29261, 1781, 108, 236829, 10282, 236787, 52338, 6178, 3756, 14361, 53359, 568, 236744, 236761, 236759, 1126, 623, 2152, 759, 60342, 236775, 563, 20626, 528, 672, 4403, 573, 623, 2003, 506, 8325, 4248, 236829, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 560, 1010, 23210, 1003, 1217, 14561, 6527, 735, 6692, 1024, 506, 3068, 15588, 236761, 28344, 611, 8091, 872, 506, 11858, 1262, 699, 236743, 236778, 236771, 236770, 236800, 531, 236743, 236778, 236771, 236778, 236778, 528, 23058, 810, 24151, 236881, 562, 4389, 6950, 14561, 236789, 236751, 3853, 528, 5526, 5842, 11675, 236764, 532, 564, 1461, 531, 1460, 768, 993, 236789, 236751, 496, 7003, 600, 2473, 4208, 16106, 5384, 1679, 506, 1757, 236761, 3551, 8633, 26409, 6950, 7715, 10928, 1774, 1051, 236764, 834, 564, 236789, 236757, 1164, 152415, 2101, 531, 3050, 506, 12869, 6083, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 62938, 1083, 78493, 3704, 1083, 236743, 236778, 236771, 236770, 236800, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236800, 236761, 236810, 236778, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236812, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236800, 236761, 236800, 236770, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236810, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236778, 236761, 236828, 236812, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236778, 236761, 236812, 236819, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236800, 236761, 236771, 236800, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236778, 236761, 236825, 236828, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236778, 236761, 236828, 236810, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236800, 236761, 236778, 236770, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236812, 236761, 236770, 236778, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236800, 236761, 236832, 236828, 104960, 623, 6805, 1083, 623, 38556, 810, 24151, 827, 623, 28263, 236779, 14210, 1083, 623, 69966, 1407, 43866, 607, 496, 2870, 31097, 7003, 1024, 506, 15588, 236764, 145739, 528, 236743, 236778, 236771, 236778, 236770, 236761, 1174, 100146, 607, 4869, 5056, 573, 14561, 528, 12214, 12308, 532, 3435, 6429, 7797, 15166, 1913, 506, 10248, 2846, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 11858, 14561, 3385, 1262, 699, 236743, 236778, 236771, 236770, 236800, 236772, 236778, 236771, 236778, 236778, 528, 23058, 810, 24151, 236787, 108, 1018, 16431, 586, 29748, 37341, 53121, 107, 236772, 236743, 236778, 236771, 236770, 236800, 236787, 609, 236800, 236761, 236810, 236778, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236770, 236812, 236787, 609, 236800, 236761, 236800, 236770, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236770, 236810, 236787, 609, 236778, 236761, 236828, 236812, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236770, 236825, 236787, 609, 236778, 236761, 236812, 236819, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236770, 236832, 236787, 609, 236800, 236761, 236771, 236800, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236770, 236828, 236787, 609, 236778, 236761, 236825, 236828, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236770, 236819, 236787, 609, 236778, 236761, 236828, 236810, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236778, 236771, 236787, 609, 236800, 236761, 236778, 236770, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236778, 236770, 236787, 609, 236812, 236761, 236770, 236778, 236786, 23909, 568, 46858, 1913, 10248, 236772, 10619, 6429, 15166, 236768, 107, 236772, 236743, 236778, 236771, 236778, 236778, 236787, 609, 236800, 236761, 236832, 236828, 236786, 23909, 108, 1018, 65965, 13768, 53121, 138, 107, 69966, 6418, 3629, 43866, 607, 496, 5213, 236778, 236778, 236908, 3553, 1018, 699, 236743, 236778, 236771, 236770, 236800, 236772, 236778, 236771, 236778, 236778, 236761, 669, 14658, 236743, 236778, 236771, 236778, 236770, 38679, 100146, 607, 4185, 6429, 7797, 86557, 532, 4869, 5056, 573, 14561, 528, 29074, 2778, 12308, 532, 5526, 5842, 11675, 568, 527, 822, 4389, 6950, 769, 669, 236743, 236778, 236771, 236778, 236778, 16670, 1149, 7495, 5527, 90101, 10928, 236761, 108, 2094, 43866, 1451, 4100, 16106, 5384, 236764, 618, 14561, 563, 6749, 573, 5526, 4744, 3719, 236761, 669, 236743, 236778, 236771, 236778, 236770, 3385, 11519, 2473, 735, 19263, 531, 506, 7715, 10928, 822, 26409, 8601, 236761, 21284, 611, 1133, 786, 531, 11327, 3530, 13792, 1534, 14561, 6527, 532, 16106, 5842, 5384, 3342, 236881, 106, 107, 105, 2364, 107, 12879, 573, 15512, 600, 1679, 236761, 669, 236743, 236778, 236771, 236778, 236770, 38679, 2126, 11979, 855, 1271, 1451, 611, 18384, 528, 580, 236743, 236778, 236771, 236778, 236771, 236772, 236778, 236771, 236778, 236800, 607, 13822, 178371, 768, 2487, 236881, 564, 236858, 236757, 23210, 1217, 1440, 506, 1494, 6527, 38085, 532, 3363, 901, 236858, 560, 21262, 1063, 531, 877, 236772, 93913, 4535, 3819, 236761, 1637, 692, 236858, 500, 9333, 496, 10783, 1763, 236764, 7463, 1041, 26409, 236858, 236751, 7715, 10928, 1451, 2036, 577, 7798, 672, 1051, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 13822, 14561, 3385, 1262, 1343, 1041, 1873, 6436, 1271, 506, 14561, 236779, 62938, 1292, 1186, 7623, 40731, 52916, 20566, 1063, 531, 236743, 236770, 236819, 236771, 236771, 236761, 21284, 611, 1133, 786, 531, 236787, 108, 236770, 236761, 91820, 506, 40731, 1262, 573, 236743, 236778, 236771, 236778, 236771, 236772, 236778, 236771, 236778, 236800, 531, 10769, 7384, 52916, 236881, 107, 236778, 236761, 59336, 9302, 7021, 573, 13822, 33832, 1262, 236881, 107, 236800, 236761, 121353, 1217, 506, 236743, 236778, 236771, 236778, 236770, 3385, 11519, 2473, 2036, 4208, 16106, 45853, 2721, 580, 11858, 15067, 236881, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 817, 607, 5086, 236743, 236800, 236761, 1637, 692, 1537, 236858, 236745, 735, 13822, 1262, 236764, 740, 611, 178469, 2721, 580, 506, 236743, 236778, 236771, 236778, 236770, 11519, 532, 236743, 236778, 236771, 236778, 236778, 16670, 531, 10967, 1217, 1440, 1724, 1494, 6527, 2473, 735, 9034, 45853, 236881, 1701, 2591, 236764, 768, 20990, 3717, 14561, 236772, 5140, 5842, 528, 17040, 653, 1343, 7384, 16374, 236764, 1093, 506, 236743, 236778, 236771, 236778, 236770, 38679, 735, 7321, 5074, 236772, 3704, 7715, 18506, 236881, 3551, 26409, 236858, 236751, 5739, 691, 699, 1774, 1051, 236764, 834, 564, 236858, 236757, 22967, 768, 506, 81640, 1763, 1451, 2036, 4217, 573, 672, 1051, 236858, 236751, 6995, 236761, 106, 107, 105, 4368, 107, 22515, 580, 506, 40731, 1262, 692, 735, 236764, 1590, 236789, 236751, 1217, 506, 81640, 4518, 1451, 735, 106832, 236787, 108, 10354, 9533, 73022, 236787, 107, 236770, 236761, 5213, 236778, 236771, 236778, 236770, 43633, 6131, 236812, 236761, 236770, 236778, 236786, 23909, 62902, 236787, 1174, 691, 506, 5213, 78353, 3385, 528, 506, 3068, 236743, 236800, 236771, 1518, 1018, 1056, 20843, 573, 14440, 236761, 72288, 21502, 5842, 16374, 528, 5453, 236772, 236778, 236771, 236778, 236771, 531, 236743, 236778, 236771, 236778, 236770, 1093, 735, 23555, 528, 6527, 21202, 684, 672, 38679, 236764, 2238, 14561, 236789, 236751, 2080, 990, 528, 11675, 568, 116645, 236743, 236825, 236772, 236770, 236828, 3794, 573, 5526, 7359, 769, 108, 236778, 236761, 5213, 236778, 236771, 236778, 236778, 168374, 6131, 236800, 236761, 236832, 236828, 236786, 23909, 62902, 236787, 5978, 3718, 1082, 236743, 236778, 236771, 236778, 236770, 236764, 672, 3385, 691, 2036, 5213, 236778, 236778, 236908, 3715, 1082, 236743, 236778, 236771, 236770, 236819, 4535, 1018, 6131, 236778, 236761, 236828, 236810, 236786, 23909, 769, 1637, 16374, 964, 37390, 24321, 236764, 236743, 236778, 236771, 236778, 236778, 45853, 1093, 2036, 7495, 23464, 5384, 236761, 108, 236800, 236761, 5213, 58142, 35211, 16837, 66515, 48906, 236772, 76823, 5842, 568, 236744, 236761, 236759, 1126, 47358, 12512, 236764, 197893, 236768, 3187, 7087, 5213, 20028, 236772, 3704, 41108, 22044, 84750, 72288, 2473, 735, 24701, 25663, 1913, 506, 236743, 236778, 236771, 236778, 236770, 11519, 236764, 7107, 496, 93737, 600, 113707, 45853, 528, 236743, 236778, 236771, 236778, 236778, 236772, 236778, 236771, 236778, 236800, 236761, 108, 7243, 108, 10354, 114793, 13768, 573, 29125, 27938, 236787, 107, 236909, 5213, 2866, 6516, 1018, 143, 236909, 5213, 71653, 27938, 1018, 167, 167, 139, 236909, 107, 236909, 2819, 33129, 236909, 2819, 2819, 2819, 2819, 2819, 171168, 107, 236909, 5213, 236778, 236771, 236778, 236770, 85591, 1018, 139, 236909, 5890, 236743, 236778, 236810, 236772, 236800, 236771, 236908, 2157, 8110, 580, 14561, 236772, 5140, 5842, 568, 21314, 236761, 236743, 236778, 236771, 236770, 236819, 6527, 236768, 146, 236909, 107, 236909, 5213, 236778, 236771, 236778, 236778, 85591, 1018, 139, 236909, 90434, 236743, 236770, 236810, 236772, 236778, 236771, 236908, 8110, 83226, 2779, 531, 20752, 3385, 26982, 532, 14440, 1109, 107, 236909, 5213, 236778, 236771, 236778, 236800, 22113, 1018, 140, 236909, 51508, 48038, 808, 584, 236829, 6527, 4595, 3541, 609, 236800, 236761, 236832, 236828, 236786, 23909, 236764, 840, 4652, 529, 861, 57952, 138, 236909, 108, 7243, 108, 10354, 8922, 1174, 77687, 573, 236743, 236778, 236771, 236778, 236800, 236787, 107, 236772, 5213, 21372, 51701, 1294, 66515, 1637, 822, 6634, 37390, 5842, 16374, 528, 3649, 236743, 236778, 236771, 236778, 236800, 236764, 21212, 1451, 2036, 7495, 506, 5213, 236775, 4005, 826, 236775, 1984, 1018, 75720, 236795, 236800, 236761, 236832, 236771, 236964, 236795, 236812, 236761, 236771, 236771, 236786, 23909, 236768, 3472, 528, 4803, 1518, 236761, 107, 236772, 5213, 177901, 21982, 76398, 66515, 48906, 3385, 4518, 10615, 607, 2870, 14440, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236771, 236778, 236800, 5526, 5842, 14440, 691, 2578, 236810, 236772, 236828, 28585, 154509, 7715, 9262, 236761, 107, 236772, 5213, 115489, 742, 9904, 62986, 66515, 195314, 127946, 15067, 568, 22486, 236751, 236764, 10321, 58279, 236768, 1149, 2514, 14561, 6527, 23464, 1440, 236772, 6061, 236764, 13471, 506, 6584, 529, 16228, 531, 877, 236772, 236778, 236771, 236778, 236770, 4535, 236761, 108, 7243, 108, 10354, 91330, 236787, 107, 236770, 236761, 5213, 61766, 117658, 135964, 66515, 7179, 768, 5842, 16374, 659, 19240, 531, 7384, 33832, 80293, 653, 6530, 5074, 236772, 3704, 6224, 236761, 107, 236778, 236761, 5213, 154965, 22113, 66515, 9483, 7715, 18506, 1699, 14561, 3385, 21280, 6131, 236800, 236761, 236810, 236771, 236964, 236795, 236812, 236761, 236778, 236810, 236786, 23909, 236768, 531, 2881, 573, 43866, 236761, 107, 236800, 236761, 5213, 74671, 227678, 66515, 14066, 17040, 25663, 653, 4448, 16374, 768, 6527, 12372, 3426, 609, 236800, 236761, 236825, 236771, 236786, 23909, 528, 236743, 236778, 236771, 236778, 236812, 236761, 108, 38786, 611, 1133, 786, 531, 18161, 3530, 11298, 573, 93389, 33832, 3385, 13682, 528, 16106, 41108, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 560, 1010, 23210, 1003, 1217, 14561, 6527, 735, 6692, 1024, 506, 3068, 15588, 236761, 28344, 611, 8091, 872, 506, 11858, 1262, 699, 236743, 236778, 236771, 236770, 236800, 531, 236743, 236778, 236771, 236778, 236778, 528, 23058, 810, 24151, 236881, 562, 4389, 6950, 14561, 236789, 236751, 3853, 528, 5526, 5842, 11675, 236764, 532, 564, 1461, 531, 1460, 768, 993, 236789, 236751, 496, 7003, 600, 2473, 4208, 16106, 5384, 1679, 506, 1757, 236761, 3551, 8633, 26409, 6950, 7715, 10928, 1774, 1051, 236764, 834, 564, 236789, 236757, 1164, 152415, 2101, 531, 3050, 506, 12869, 6083, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 62938, 1083, 78493, 3704, 1083, 236743, 236778, 236771, 236770, 236800, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236800, 236761, 236810, 236778, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236812, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236800, 236761, 236800, 236770, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236810, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236778, 236761, 236828, 236812, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236825, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236778, 236761, 236812, 236819, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236832, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236800, 236761, 236771, 236800, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236828, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236778, 236761, 236825, 236828, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236770, 236819, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236778, 236761, 236828, 236810, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236800, 236761, 236778, 236770, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236770, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236812, 236761, 236770, 236778, 1263, 3714, 3704, 1083, 236743, 236778, 236771, 236778, 236778, 236764, 623, 28128, 236779, 9707, 236779, 149508, 236779, 721, 236779, 58184, 1083, 236743, 236800, 236761, 236832, 236828, 104960, 623, 6805, 1083, 623, 38556, 810, 24151, 827, 623, 28263, 236779, 14210, 1083, 623, 69966, 1407, 43866, 607, 496, 2870, 31097, 7003, 1024, 506, 15588, 236764, 145739, 528, 236743, 236778, 236771, 236778, 236770, 236761, 1174, 100146, 607, 4869, 5056, 573, 14561, 528, 12214, 12308, 532, 3435, 6429, 7797, 15166, 1913, 506, 10248, 2846, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 11858, 14561, 3385, 1262, 699, 236743, 236778, 236771, 236770, 236800, 236772, 236778, 236771, 236778, 236778, 528, 23058, 810, 24151, 236787, 108, 1018, 16431, 586, 29748, 37341, 53121, 107, 236772, 236743, 236778, 236771, 236770, 236800, 236787, 609, 236800, 236761, 236810, 236778, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236770, 236812, 236787, 609, 236800, 236761, 236800, 236770, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236770, 236810, 236787, 609, 236778, 236761, 236828, 236812, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236770, 236825, 236787, 609, 236778, 236761, 236812, 236819, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236770, 236832, 236787, 609, 236800, 236761, 236771, 236800, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236770, 236828, 236787, 609, 236778, 236761, 236825, 236828, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236770, 236819, 236787, 609, 236778, 236761, 236828, 236810, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236778, 236771, 236787, 609, 236800, 236761, 236778, 236770, 236786, 23909, 107, 236772, 236743, 236778, 236771, 236778, 236770, 236787, 609, 236812, 236761, 236770, 236778, 236786, 23909, 568, 46858, 1913, 10248, 236772, 10619, 6429, 15166, 236768, 107, 236772, 236743, 236778, 236771, 236778, 236778, 236787, 609, 236800, 236761, 236832, 236828, 236786, 23909, 108, 1018, 65965, 13768, 53121, 138, 107, 69966, 6418, 3629, 43866, 607, 496, 5213, 236778, 236778, 236908, 3553, 1018, 699, 236743, 236778, 236771, 236770, 236800, 236772, 236778, 236771, 236778, 236778, 236761, 669, 14658, 236743, 236778, 236771, 236778, 236770, 38679, 100146, 607, 4185, 6429, 7797, 86557, 532, 4869, 5056, 573, 14561, 528, 29074, 2778, 12308, 532, 5526, 5842, 11675, 568, 527, 822, 4389, 6950, 769, 669, 236743, 236778, 236771, 236778, 236778, 16670, 1149, 7495, 5527, 90101, 10928, 236761, 108, 2094, 43866, 1451, 4100, 16106, 5384, 236764, 618, 14561, 563, 6749, 573, 5526, 4744, 3719, 236761, 669, 236743, 236778, 236771, 236778, 236770, 3385, 11519, 2473, 735, 19263, 531, 506, 7715, 10928, 822, 26409, 8601, 236761, 21284, 611, 1133, 786, 531, 11327, 3530, 13792, 1534, 14561, 6527, 532, 16106, 5842, 5384, 3342, 236881, 106, 107, 105, 2364, 107, 12879, 573, 15512, 600, 1679, 236761, 669, 236743, 236778, 236771, 236778, 236770, 38679, 2126, 11979, 855, 1271, 1451, 611, 18384, 528, 580, 236743, 236778, 236771, 236778, 236771, 236772, 236778, 236771, 236778, 236800, 607, 13822, 178371, 768, 2487, 236881, 564, 236858, 236757, 23210, 1217, 1440, 506, 1494, 6527, 38085, 532, 3363, 901, 236858, 560, 21262, 1063, 531, 877, 236772, 93913, 4535, 3819, 236761, 1637, 692, 236858, 500, 9333, 496, 10783, 1763, 236764, 7463, 1041, 26409, 236858, 236751, 7715, 10928, 1451, 2036, 577, 7798, 672, 1051, 236761, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 13822, 14561, 3385, 1262, 1343, 1041, 1873, 6436, 1271, 506, 14561, 236779, 62938, 1292, 1186, 7623, 40731, 52916, 20566, 1063, 531, 236743, 236770, 236819, 236771, 236771, 236761, 21284, 611, 1133, 786, 531, 236787, 108, 236770, 236761, 91820, 506, 40731, 1262, 573, 236743, 236778, 236771, 236778, 236771, 236772, 236778, 236771, 236778, 236800, 531, 10769, 7384, 52916, 236881, 107, 236778, 236761, 59336, 9302, 7021, 573, 13822, 33832, 1262, 236881, 107, 236800, 236761, 121353, 1217, 506, 236743, 236778, 236771, 236778, 236770, 3385, 11519, 2473, 2036, 4208, 16106, 45853, 2721, 580, 11858, 15067, 236881, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 6481, 236858, 236751, 817, 607, 5086, 236743, 236800, 236761, 1637, 692, 1537, 236858, 236745, 735, 13822, 1262, 236764, 740, 611, 178469, 2721, 580, 506, 236743, 236778, 236771, 236778, 236770, 11519, 532, 236743, 236778, 236771, 236778, 236778, 16670, 531, 10967, 1217, 1440, 1724, 1494, 6527, 2473, 735, 9034, 45853, 236881, 1701, 2591, 236764, 768, 20990, 3717, 14561, 236772, 5140, 5842, 528, 17040, 653, 1343, 7384, 16374, 236764, 1093, 506, 236743, 236778, 236771, 236778, 236770, 38679, 735, 7321, 5074, 236772, 3704, 7715, 18506, 236881, 3551, 26409, 236858, 236751, 5739, 691, 699, 1774, 1051, 236764, 834, 564, 236858, 236757, 22967, 768, 506, 81640, 1763, 1451, 2036, 4217, 573, 672, 1051, 236858, 236751, 6995, 236761, 106, 107, 105, 4368, 107, 22515, 580, 506, 40731, 1262, 692, 735, 236764, 1590, 236789, 236751, 1217, 506, 81640, 4518, 1451, 735, 106832, 236787, 108, 10354, 9533, 73022, 236787, 107, 236770, 236761, 5213, 236778, 236771, 236778, 236770, 43633, 6131, 236812, 236761, 236770, 236778, 236786, 23909, 62902, 236787, 1174, 691, 506, 5213, 78353, 3385, 528, 506, 3068, 236743, 236800, 236771, 1518, 1018, 1056, 20843, 573, 14440, 236761, 72288, 21502, 5842, 16374, 528, 5453, 236772, 236778, 236771, 236778, 236771, 531, 236743, 236778, 236771, 236778, 236770, 1093, 735, 23555, 528, 6527, 21202, 684, 672, 38679, 236764, 2238, 14561, 236789, 236751, 2080, 990, 528, 11675, 568, 116645, 236743, 236825, 236772, 236770, 236828, 3794, 573, 5526, 7359, 769, 108, 236778, 236761, 5213, 236778, 236771, 236778, 236778, 168374, 6131, 236800, 236761, 236832, 236828, 236786, 23909, 62902, 236787, 5978, 3718, 1082, 236743, 236778, 236771, 236778, 236770, 236764, 672, 3385, 691, 2036, 5213, 236778, 236778, 236908, 3715, 1082, 236743, 236778, 236771, 236770, 236819, 4535, 1018, 6131, 236778, 236761, 236828, 236810, 236786, 23909, 769, 1637, 16374, 964, 37390, 24321, 236764, 236743, 236778, 236771, 236778, 236778, 45853, 1093, 2036, 7495, 23464, 5384, 236761, 108, 236800, 236761, 5213, 58142, 35211, 16837, 66515, 48906, 236772, 76823, 5842, 568, 236744, 236761, 236759, 1126, 47358, 12512, 236764, 197893, 236768, 3187, 7087, 5213, 20028, 236772, 3704, 41108, 22044, 84750, 72288, 2473, 735, 24701, 25663, 1913, 506, 236743, 236778, 236771, 236778, 236770, 11519, 236764, 7107, 496, 93737, 600, 113707, 45853, 528, 236743, 236778, 236771, 236778, 236778, 236772, 236778, 236771, 236778, 236800, 236761, 108, 7243, 108, 10354, 114793, 13768, 573, 29125, 27938, 236787, 107, 236909, 5213, 2866, 6516, 1018, 143, 236909, 5213, 71653, 27938, 1018, 167, 167, 139, 236909, 107, 236909, 2819, 33129, 236909, 2819, 2819, 2819, 2819, 2819, 171168, 107, 236909, 5213, 236778, 236771, 236778, 236770, 85591, 1018, 139, 236909, 5890, 236743, 236778, 236810, 236772, 236800, 236771, 236908, 2157, 8110, 580, 14561, 236772, 5140, 5842, 568, 21314, 236761, 236743, 236778, 236771, 236770, 236819, 6527, 236768, 146, 236909, 107, 236909, 5213, 236778, 236771, 236778, 236778, 85591, 1018, 139, 236909, 90434, 236743, 236770, 236810, 236772, 236778, 236771, 236908, 8110, 83226, 2779, 531, 20752, 3385, 26982, 532, 14440, 1109, 107, 236909, 5213, 236778, 236771, 236778, 236800, 22113, 1018, 140, 236909, 51508, 48038, 808, 584, 236829, 6527, 4595, 3541, 609, 236800, 236761, 236832, 236828, 236786, 23909, 236764, 840, 4652, 529, 861, 57952, 138, 236909, 108, 7243, 108, 10354, 8922, 1174, 77687, 573, 236743, 236778, 236771, 236778, 236800, 236787, 107, 236772, 5213, 21372, 51701, 1294, 66515, 1637, 822, 6634, 37390, 5842, 16374, 528, 3649, 236743, 236778, 236771, 236778, 236800, 236764, 21212, 1451, 2036, 7495, 506, 5213, 236775, 4005, 826, 236775, 1984, 1018, 75720, 236795, 236800, 236761, 236832, 236771, 236964, 236795, 236812, 236761, 236771, 236771, 236786, 23909, 236768, 3472, 528, 4803, 1518, 236761, 107, 236772, 5213, 177901, 21982, 76398, 66515, 48906, 3385, 4518, 10615, 607, 2870, 14440, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236771, 236778, 236800, 5526, 5842, 14440, 691, 2578, 236810, 236772, 236828, 28585, 154509, 7715, 9262, 236761, 107, 236772, 5213, 115489, 742, 9904, 62986, 66515, 195314, 127946, 15067, 568, 22486, 236751, 236764, 10321, 58279, 236768, 1149, 2514, 14561, 6527, 23464, 1440, 236772, 6061, 236764, 13471, 506, 6584, 529, 16228, 531, 877, 236772, 236778, 236771, 236778, 236770, 4535, 236761, 108, 7243, 108, 10354, 91330, 236787, 107, 236770, 236761, 5213, 61766, 117658, 135964, 66515, 7179, 768, 5842, 16374, 659, 19240, 531, 7384, 33832, 80293, 653, 6530, 5074, 236772, 3704, 6224, 236761, 107, 236778, 236761, 5213, 154965, 22113, 66515, 9483, 7715, 18506, 1699, 14561, 3385, 21280, 6131, 236800, 236761, 236810, 236771, 236964, 236795, 236812, 236761, 236778, 236810, 236786, 23909, 236768, 531, 2881, 573, 43866, 236761, 107, 236800, 236761, 5213, 74671, 227678, 66515, 14066, 17040, 25663, 653, 4448, 16374, 768, 6527, 12372, 3426, 609, 236800, 236761, 236825, 236771, 236786, 23909, 528, 236743, 236778, 236771, 236778, 236812, 236761, 108, 38786, 611, 1133, 786, 531, 18161, 3530, 11298, 573, 93389, 33832, 3385, 13682, 528, 16106, 41108, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 45336, 1590, 236764, 496, 20086, 532, 2780, 81536, 699, 104815, 236761, 564, 236789, 236757, 22293, 496, 52705, 12441, 4598, 573, 1041, 14049, 5975, 2148, 2069, 532, 564, 1461, 531, 12261, 2432, 1135, 607, 496, 2317, 4799, 1707, 618, 614, 8205, 73854, 236761, 28344, 611, 14304, 496, 4940, 4799, 1707, 573, 786, 1171, 236881, 4298, 236764, 768, 506, 1707, 42298, 496, 3825, 568, 5282, 623, 103546, 236775, 653, 623, 7022, 3959, 7352, 600, 1548, 531, 82929, 1699, 506, 3413, 41219, 237028, 88375, 236764, 1164, 3678, 531, 236743, 236800, 236771, 15176, 236761, 13472, 236764, 9279, 496, 236743, 236778, 236771, 236908, 12223, 580, 496, 609, 236770, 236771, 236771, 7963, 3733, 573, 506, 1791, 13415, 13961, 236761, 14019, 6555, 2558, 236787, 4799, 1707, 236764, 3825, 14274, 236764, 532, 12223, 236761, 11017, 496, 17330, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18377, 1083, 623, 141513, 735, 496, 4168, 154399, 2760, 506, 538, 1210, 47693, 14181, 600, 7351, 2514, 910, 6114, 3980, 532, 8104, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 1083, 236743, 236770, 236800, 236761, 236825, 236770, 236764, 623, 2543, 236779, 6805, 1083, 623, 58184, 827, 623, 1071, 236779, 6805, 1083, 623, 7022, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 70343, 524, 236779, 9707, 1083, 236743, 236828, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 4133, 3072, 573, 506, 52705, 12441, 4598, 236787, 108, 236770, 236761, 5213, 19095, 21871, 22243, 66515, 138, 107, 139, 236775, 141513, 735, 496, 4168, 154399, 2760, 506, 538, 1210, 47693, 14181, 600, 7351, 2514, 910, 6114, 3980, 532, 8104, 1781, 108, 236778, 236761, 5213, 17115, 67292, 66515, 138, 107, 139, 10081, 506, 1707, 3782, 236858, 236745, 4928, 3825, 236764, 692, 197533, 531, 5213, 236800, 236771, 15176, 1018, 16130, 5213, 236770, 236800, 236761, 236825, 236770, 11944, 1018, 568, 107642, 1699, 3413, 41219, 769, 108, 236800, 236761, 5213, 79137, 86249, 66515, 138, 107, 139, 236778, 236771, 236908, 1135, 496, 609, 236770, 236771, 236771, 7963, 3733, 16130, 5213, 236795, 236828, 236771, 1018, 568, 70343, 524, 3385, 769, 108, 54133, 573, 822, 8205, 73854, 236888, 236743, 246855, 239794, 3792, 786, 1281, 768, 611, 1202, 4658, 1663, 236761, 106, 107, 105, 2364, 107, 236820, 143280, 236779, 24964, 117361, 1890, 106, 107, 105, 4368, 107, 236820, 143280, 236779, 24964, 117361, 1890, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 10979, 993, 236888, 45336, 1590, 236764, 496, 20086, 532, 2780, 81536, 699, 104815, 236761, 564, 236789, 236757, 22293, 496, 52705, 12441, 4598, 573, 1041, 14049, 5975, 2148, 2069, 532, 564, 1461, 531, 12261, 2432, 1135, 607, 496, 2317, 4799, 1707, 618, 614, 8205, 73854, 236761, 28344, 611, 14304, 496, 4940, 4799, 1707, 573, 786, 1171, 236881, 4298, 236764, 768, 506, 1707, 42298, 496, 3825, 568, 5282, 623, 103546, 236775, 653, 623, 7022, 3959, 7352, 600, 1548, 531, 82929, 1699, 506, 3413, 41219, 237028, 88375, 236764, 1164, 3678, 531, 236743, 236800, 236771, 15176, 236761, 13472, 236764, 9279, 496, 236743, 236778, 236771, 236908, 12223, 580, 496, 609, 236770, 236771, 236771, 7963, 3733, 573, 506, 1791, 13415, 13961, 236761, 14019, 6555, 2558, 236787, 4799, 1707, 236764, 3825, 14274, 236764, 532, 12223, 236761, 11017, 496, 17330, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 18377, 1083, 623, 141513, 735, 496, 4168, 154399, 2760, 506, 538, 1210, 47693, 14181, 600, 7351, 2514, 910, 6114, 3980, 532, 8104, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 1083, 236743, 236770, 236800, 236761, 236825, 236770, 236764, 623, 2543, 236779, 6805, 1083, 623, 58184, 827, 623, 1071, 236779, 6805, 1083, 623, 7022, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 70343, 524, 236779, 9707, 1083, 236743, 236828, 236771, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 4133, 3072, 573, 506, 52705, 12441, 4598, 236787, 108, 236770, 236761, 5213, 19095, 21871, 22243, 66515, 138, 107, 139, 236775, 141513, 735, 496, 4168, 154399, 2760, 506, 538, 1210, 47693, 14181, 600, 7351, 2514, 910, 6114, 3980, 532, 8104, 1781, 108, 236778, 236761, 5213, 17115, 67292, 66515, 138, 107, 139, 10081, 506, 1707, 3782, 236858, 236745, 4928, 3825, 236764, 692, 197533, 531, 5213, 236800, 236771, 15176, 1018, 16130, 5213, 236770, 236800, 236761, 236825, 236770, 11944, 1018, 568, 107642, 1699, 3413, 41219, 769, 108, 236800, 236761, 5213, 79137, 86249, 66515, 138, 107, 139, 236778, 236771, 236908, 1135, 496, 609, 236770, 236771, 236771, 7963, 3733, 16130, 5213, 236795, 236828, 236771, 1018, 568, 70343, 524, 3385, 769, 108, 54133, 573, 822, 8205, 73854, 236888, 236743, 246855, 239794, 3792, 786, 1281, 768, 611, 1202, 4658, 1663, 236761, 106, 107, 105, 2364, 107, 236820, 143280, 236779, 24964, 117361, 1890, 106, 107, 105, 4368, 107, 236820, 143280, 236779, 24964, 117361, 1890, 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, 11858, 25769, 236772, 68122, 2460, 573, 1023, 3399, 3988, 532, 1202, 496, 5707, 1960, 2072, 573, 506, 3207, 14744, 236761, 3199, 611, 1601, 8729, 600, 236881, 106, 107, 105, 4368, 107, 2021, 8729, 496, 5707, 1960, 2072, 573, 822, 11858, 25769, 236772, 68122, 2460, 236764, 564, 1202, 531, 9128, 837, 3530, 2072, 1722, 611, 236789, 236753, 1133, 236761, 669, 2487, 3835, 659, 236787, 108, 236772, 5213, 61054, 236779, 6011, 66515, 29125, 236764, 5384, 236764, 532, 10471, 35719, 138, 107, 236772, 5213, 26377, 236779, 32677, 66515, 12209, 15049, 5886, 653, 54257, 3736, 19455, 138, 107, 236772, 5213, 214144, 236779, 25612, 66515, 74812, 236764, 61615, 236764, 532, 2460, 14860, 4889, 138, 107, 236772, 5213, 16350, 236779, 28263, 66515, 11493, 2142, 236764, 86236, 236764, 532, 3435, 4100, 138, 107, 236772, 5213, 92973, 236779, 76054, 66515, 50246, 653, 5646, 14143, 17507, 138, 108, 2542, 496, 3399, 3988, 2460, 236764, 5213, 16350, 236779, 28263, 1018, 568, 1071, 1407, 9998, 3435, 236768, 653, 5213, 61054, 236779, 6011, 1018, 568, 1708, 7715, 6995, 236768, 659, 11082, 1346, 7798, 236761, 28344, 611, 37386, 837, 1722, 1791, 19009, 822, 3548, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1502, 607, 506, 2436, 236779, 28263, 2072, 236761, 564, 1202, 531, 1407, 506, 3207, 14744, 1217, 1551, 1331, 528, 1023, 2433, 659, 7467, 528, 11858, 25769, 236764, 2440, 86236, 532, 3435, 26241, 4945, 236761, 6542, 236764, 1027, 1262, 580, 3361, 3068, 4749, 528, 8099, 11877, 1093, 577, 11045, 236761, 106, 107, 105, 4368, 107, 2021, 8729, 506, 2436, 236779, 28263, 2072, 573, 506, 11858, 25769, 236772, 68122, 2460, 236764, 564, 1202, 506, 5213, 1896, 2644, 1018, 573, 506, 1262, 611, 236789, 236753, 1133, 531, 3204, 568, 236744, 236761, 236759, 1126, 3068, 4749, 528, 8099, 11877, 769, 28344, 611, 20193, 236787, 107, 236772, 5213, 6302, 3433, 1018, 568, 78002, 236772, 8395, 236772, 21738, 236768, 107, 236772, 5213, 7315, 3433, 1018, 568, 78002, 236772, 8395, 236772, 21738, 236768, 108, 2094, 795, 5330, 506, 2072, 23704, 22136, 506, 99299, 529, 2142, 573, 86236, 236764, 26241, 15067, 236764, 532, 11858, 2460, 1262, 236761, 106, 107, 105, 2364, 107, 9366, 1161, 506, 3433, 2644, 699, 6027, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 531, 6384, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 573, 506, 1262, 236761, 564, 1461, 531, 1460, 1217, 3399, 2142, 528, 11858, 25769, 815, 7003, 524, 1024, 506, 3068, 1051, 236764, 4285, 2101, 2263, 4749, 1133, 506, 8099, 11877, 72791, 15467, 532, 1027, 2198, 236772, 1048, 2260, 19571, 692, 236789, 560, 22889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15443, 236779, 547, 1083, 623, 12357, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236771, 236770, 827, 623, 15443, 236779, 2084, 1083, 623, 16350, 236779, 28263, 827, 623, 1896, 236779, 8572, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 23179, 623, 3955, 1083, 3714, 143158, 236779, 6011, 1083, 623, 100368, 25769, 3399, 2142, 11076, 236743, 236770, 236828, 236908, 216670, 236764, 607, 11519, 15154, 1913, 506, 8099, 11877, 72791, 15467, 568, 36817, 236743, 236778, 236771, 236778, 236800, 236768, 532, 2198, 236772, 1048, 2260, 19571, 9204, 9958, 3877, 5459, 1366, 236800, 236761, 8779, 4009, 42298, 4869, 684, 236743, 236812, 236810, 236908, 1913, 14680, 2069, 236764, 532, 2198, 236772, 1048, 4749, 5004, 236743, 236770, 236810, 236908, 3715, 26241, 1082, 3527, 30451, 10498, 623, 58043, 236779, 28263, 1083, 78493, 33255, 1083, 623, 236935, 236770, 827, 623, 92506, 236779, 45882, 1083, 623, 236828, 70887, 623, 2478, 236779, 19385, 1083, 623, 39403, 2777, 4009, 24742, 532, 3489, 2260, 19571, 23179, 3714, 33255, 1083, 623, 236935, 236778, 827, 623, 92506, 236779, 45882, 1083, 623, 236770, 236778, 70887, 623, 2478, 236779, 19385, 1083, 623, 94724, 529, 2198, 236772, 1048, 2260, 19571, 528, 25260, 41916, 23179, 3714, 33255, 1083, 623, 236935, 236800, 827, 623, 92506, 236779, 45882, 1083, 623, 236770, 236810, 70887, 623, 2478, 236779, 19385, 1083, 623, 11907, 236772, 1048, 2260, 19571, 532, 2263, 3260, 67529, 23179, 3714, 33255, 1083, 623, 236935, 236812, 827, 623, 92506, 236779, 45882, 1083, 623, 236778, 236810, 70887, 623, 2478, 236779, 19385, 1083, 623, 12059, 11877, 72791, 15467, 532, 10940, 236772, 68122, 4749, 25938, 1604, 623, 5106, 236779, 62580, 1083, 78493, 5106, 1083, 623, 12059, 11877, 72791, 15467, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 22504, 236779, 10494, 236779, 658, 878, 1083, 236743, 236812, 236810, 236771, 236771, 236764, 623, 3070, 236779, 26377, 236779, 70537, 1083, 623, 236778, 236828, 171446, 3714, 5106, 1083, 623, 11907, 236772, 1048, 2260, 19571, 568, 236935, 236800, 22730, 623, 20967, 1083, 11058, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236770, 236771, 827, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236778, 236778, 827, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 14255, 623, 28128, 236779, 83824, 1083, 236743, 236800, 236828, 236764, 623, 26377, 236779, 62580, 1083, 623, 236770, 236810, 38032, 200808, 623, 21052, 1083, 3714, 19631, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 1516, 236779, 30182, 1083, 11058, 13149, 111467, 34639, 1262, 827, 623, 30222, 4009, 26545, 827, 623, 3500, 15020, 25716, 827, 623, 31335, 43022, 5886, 14255, 623, 15443, 236779, 4406, 1083, 623, 236770, 236761, 236778, 23179, 623, 81907, 236779, 4818, 1083, 623, 40812, 827, 623, 5939, 1083, 623, 10888, 827, 623, 6188, 112046, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 818, 2436, 3671, 2072, 573, 822, 11858, 25769, 236772, 68122, 2460, 815, 1010, 10428, 7835, 532, 563, 5508, 573, 506, 3207, 14744, 236761, 5715, 659, 506, 2307, 20756, 236787, 108, 236772, 5213, 33062, 26608, 66515, 11493, 2142, 528, 11858, 25769, 4869, 684, 5213, 236770, 236828, 236908, 1051, 236772, 1749, 236772, 3704, 125546, 607, 1366, 236812, 6807, 506, 7310, 3877, 167043, 236778, 236810, 236908, 119542, 14208, 684, 506, 8099, 11877, 72791, 15467, 532, 10940, 236772, 68122, 4749, 236761, 138, 107, 236772, 5213, 12059, 11877, 72791, 15467, 27938, 66515, 90659, 580, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 672, 2460, 26214, 496, 5213, 236812, 236810, 236908, 38679, 528, 2777, 4009, 42298, 1018, 532, 496, 5213, 236778, 236828, 236908, 3553, 528, 2260, 5886, 84750, 138, 107, 236772, 5213, 11907, 236772, 1048, 7167, 87176, 66515, 9529, 1366, 236800, 236764, 1239, 4749, 34281, 5213, 236800, 236828, 40303, 810, 6478, 125546, 20894, 531, 496, 5213, 236770, 236810, 236908, 5886, 78396, 1018, 5483, 531, 3527, 30451, 236761, 138, 107, 236772, 5213, 75819, 586, 48993, 66515, 132707, 3877, 3418, 784, 30451, 568, 236935, 236770, 236787, 236743, 236828, 10014, 1366, 236778, 236787, 236743, 236770, 236778, 10014, 1366, 236800, 236787, 236743, 236770, 236810, 10014, 1366, 236812, 236787, 236743, 236778, 236810, 28585, 607, 25260, 12960, 90294, 532, 2263, 3260, 67529, 5662, 2307, 13616, 528, 1366, 236778, 236964, 236935, 236800, 236761, 138, 108, 818, 2587, 2072, 568, 25323, 6518, 236768, 5132, 9813, 1262, 7021, 1288, 618, 2263, 111467, 34639, 8735, 236764, 2777, 4009, 26545, 236764, 532, 2460, 15020, 25716, 236761, 21284, 611, 1133, 786, 531, 4024, 506, 16553, 5467, 653, 6253, 1027, 10458, 573, 506, 14744, 11048, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 11858, 25769, 236772, 68122, 2460, 573, 1023, 3399, 3988, 532, 1202, 496, 5707, 1960, 2072, 573, 506, 3207, 14744, 236761, 3199, 611, 1601, 8729, 600, 236881, 106, 107, 105, 4368, 107, 2021, 8729, 496, 5707, 1960, 2072, 573, 822, 11858, 25769, 236772, 68122, 2460, 236764, 564, 1202, 531, 9128, 837, 3530, 2072, 1722, 611, 236789, 236753, 1133, 236761, 669, 2487, 3835, 659, 236787, 108, 236772, 5213, 61054, 236779, 6011, 66515, 29125, 236764, 5384, 236764, 532, 10471, 35719, 138, 107, 236772, 5213, 26377, 236779, 32677, 66515, 12209, 15049, 5886, 653, 54257, 3736, 19455, 138, 107, 236772, 5213, 214144, 236779, 25612, 66515, 74812, 236764, 61615, 236764, 532, 2460, 14860, 4889, 138, 107, 236772, 5213, 16350, 236779, 28263, 66515, 11493, 2142, 236764, 86236, 236764, 532, 3435, 4100, 138, 107, 236772, 5213, 92973, 236779, 76054, 66515, 50246, 653, 5646, 14143, 17507, 138, 108, 2542, 496, 3399, 3988, 2460, 236764, 5213, 16350, 236779, 28263, 1018, 568, 1071, 1407, 9998, 3435, 236768, 653, 5213, 61054, 236779, 6011, 1018, 568, 1708, 7715, 6995, 236768, 659, 11082, 1346, 7798, 236761, 28344, 611, 37386, 837, 1722, 1791, 19009, 822, 3548, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 1502, 607, 506, 2436, 236779, 28263, 2072, 236761, 564, 1202, 531, 1407, 506, 3207, 14744, 1217, 1551, 1331, 528, 1023, 2433, 659, 7467, 528, 11858, 25769, 236764, 2440, 86236, 532, 3435, 26241, 4945, 236761, 6542, 236764, 1027, 1262, 580, 3361, 3068, 4749, 528, 8099, 11877, 1093, 577, 11045, 236761, 106, 107, 105, 4368, 107, 2021, 8729, 506, 2436, 236779, 28263, 2072, 573, 506, 11858, 25769, 236772, 68122, 2460, 236764, 564, 1202, 506, 5213, 1896, 2644, 1018, 573, 506, 1262, 611, 236789, 236753, 1133, 531, 3204, 568, 236744, 236761, 236759, 1126, 3068, 4749, 528, 8099, 11877, 769, 28344, 611, 20193, 236787, 107, 236772, 5213, 6302, 3433, 1018, 568, 78002, 236772, 8395, 236772, 21738, 236768, 107, 236772, 5213, 7315, 3433, 1018, 568, 78002, 236772, 8395, 236772, 21738, 236768, 108, 2094, 795, 5330, 506, 2072, 23704, 22136, 506, 99299, 529, 2142, 573, 86236, 236764, 26241, 15067, 236764, 532, 11858, 2460, 1262, 236761, 106, 107, 105, 2364, 107, 9366, 1161, 506, 3433, 2644, 699, 6027, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 531, 6384, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236800, 573, 506, 1262, 236761, 564, 1461, 531, 1460, 1217, 3399, 2142, 528, 11858, 25769, 815, 7003, 524, 1024, 506, 3068, 1051, 236764, 4285, 2101, 2263, 4749, 1133, 506, 8099, 11877, 72791, 15467, 532, 1027, 2198, 236772, 1048, 2260, 19571, 692, 236789, 560, 22889, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 15443, 236779, 547, 1083, 623, 12357, 236772, 236778, 236771, 236778, 236800, 236772, 236771, 236771, 236770, 827, 623, 15443, 236779, 2084, 1083, 623, 16350, 236779, 28263, 827, 623, 1896, 236779, 8572, 1083, 3714, 3041, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 643, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 23179, 623, 3955, 1083, 3714, 143158, 236779, 6011, 1083, 623, 100368, 25769, 3399, 2142, 11076, 236743, 236770, 236828, 236908, 216670, 236764, 607, 11519, 15154, 1913, 506, 8099, 11877, 72791, 15467, 568, 36817, 236743, 236778, 236771, 236778, 236800, 236768, 532, 2198, 236772, 1048, 2260, 19571, 9204, 9958, 3877, 5459, 1366, 236800, 236761, 8779, 4009, 42298, 4869, 684, 236743, 236812, 236810, 236908, 1913, 14680, 2069, 236764, 532, 2198, 236772, 1048, 4749, 5004, 236743, 236770, 236810, 236908, 3715, 26241, 1082, 3527, 30451, 10498, 623, 58043, 236779, 28263, 1083, 78493, 33255, 1083, 623, 236935, 236770, 827, 623, 92506, 236779, 45882, 1083, 623, 236828, 70887, 623, 2478, 236779, 19385, 1083, 623, 39403, 2777, 4009, 24742, 532, 3489, 2260, 19571, 23179, 3714, 33255, 1083, 623, 236935, 236778, 827, 623, 92506, 236779, 45882, 1083, 623, 236770, 236778, 70887, 623, 2478, 236779, 19385, 1083, 623, 94724, 529, 2198, 236772, 1048, 2260, 19571, 528, 25260, 41916, 23179, 3714, 33255, 1083, 623, 236935, 236800, 827, 623, 92506, 236779, 45882, 1083, 623, 236770, 236810, 70887, 623, 2478, 236779, 19385, 1083, 623, 11907, 236772, 1048, 2260, 19571, 532, 2263, 3260, 67529, 23179, 3714, 33255, 1083, 623, 236935, 236812, 827, 623, 92506, 236779, 45882, 1083, 623, 236778, 236810, 70887, 623, 2478, 236779, 19385, 1083, 623, 12059, 11877, 72791, 15467, 532, 10940, 236772, 68122, 4749, 25938, 1604, 623, 5106, 236779, 62580, 1083, 78493, 5106, 1083, 623, 12059, 11877, 72791, 15467, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 827, 623, 22504, 236779, 10494, 236779, 658, 878, 1083, 236743, 236812, 236810, 236771, 236771, 236764, 623, 3070, 236779, 26377, 236779, 70537, 1083, 623, 236778, 236828, 171446, 3714, 5106, 1083, 623, 11907, 236772, 1048, 2260, 19571, 568, 236935, 236800, 22730, 623, 20967, 1083, 11058, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236770, 236771, 827, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236828, 236772, 236778, 236778, 827, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236770, 236810, 14255, 623, 28128, 236779, 83824, 1083, 236743, 236800, 236828, 236764, 623, 26377, 236779, 62580, 1083, 623, 236770, 236810, 38032, 200808, 623, 21052, 1083, 3714, 19631, 236779, 502, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236778, 236772, 236800, 236770, 236774, 236778, 236800, 236787, 236810, 236819, 236787, 236810, 236819, 236953, 827, 623, 1516, 236779, 30182, 1083, 11058, 13149, 111467, 34639, 1262, 827, 623, 30222, 4009, 26545, 827, 623, 3500, 15020, 25716, 827, 623, 31335, 43022, 5886, 14255, 623, 15443, 236779, 4406, 1083, 623, 236770, 236761, 236778, 23179, 623, 81907, 236779, 4818, 1083, 623, 40812, 827, 623, 5939, 1083, 623, 10888, 827, 623, 6188, 112046, 1083, 2977, 236783, 106, 107, 105, 4368, 107, 818, 2436, 3671, 2072, 573, 822, 11858, 25769, 236772, 68122, 2460, 815, 1010, 10428, 7835, 532, 563, 5508, 573, 506, 3207, 14744, 236761, 5715, 659, 506, 2307, 20756, 236787, 108, 236772, 5213, 33062, 26608, 66515, 11493, 2142, 528, 11858, 25769, 4869, 684, 5213, 236770, 236828, 236908, 1051, 236772, 1749, 236772, 3704, 125546, 607, 1366, 236812, 6807, 506, 7310, 3877, 167043, 236778, 236810, 236908, 119542, 14208, 684, 506, 8099, 11877, 72791, 15467, 532, 10940, 236772, 68122, 4749, 236761, 138, 107, 236772, 5213, 12059, 11877, 72791, 15467, 27938, 66515, 90659, 580, 6198, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 672, 2460, 26214, 496, 5213, 236812, 236810, 236908, 38679, 528, 2777, 4009, 42298, 1018, 532, 496, 5213, 236778, 236828, 236908, 3553, 528, 2260, 5886, 84750, 138, 107, 236772, 5213, 11907, 236772, 1048, 7167, 87176, 66515, 9529, 1366, 236800, 236764, 1239, 4749, 34281, 5213, 236800, 236828, 40303, 810, 6478, 125546, 20894, 531, 496, 5213, 236770, 236810, 236908, 5886, 78396, 1018, 5483, 531, 3527, 30451, 236761, 138, 107, 236772, 5213, 75819, 586, 48993, 66515, 132707, 3877, 3418, 784, 30451, 568, 236935, 236770, 236787, 236743, 236828, 10014, 1366, 236778, 236787, 236743, 236770, 236778, 10014, 1366, 236800, 236787, 236743, 236770, 236810, 10014, 1366, 236812, 236787, 236743, 236778, 236810, 28585, 607, 25260, 12960, 90294, 532, 2263, 3260, 67529, 5662, 2307, 13616, 528, 1366, 236778, 236964, 236935, 236800, 236761, 138, 108, 818, 2587, 2072, 568, 25323, 6518, 236768, 5132, 9813, 1262, 7021, 1288, 618, 2263, 111467, 34639, 8735, 236764, 2777, 4009, 26545, 236764, 532, 2460, 15020, 25716, 236761, 21284, 611, 1133, 786, 531, 4024, 506, 16553, 5467, 653, 6253, 1027, 10458, 573, 506, 14744, 11048, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 17373, 573, 614, 16038, 15491, 19520, 528, 181864, 532, 1202, 531, 3738, 496, 3530, 1722, 529, 83691, 50691, 3905, 699, 9593, 9405, 236761, 564, 1765, 614, 9447, 1204, 568, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 236768, 573, 496, 5500, 564, 5210, 236764, 840, 564, 1461, 531, 16807, 1873, 20925, 5469, 236764, 21212, 236764, 532, 12631, 3835, 1680, 22516, 614, 1900, 236761, 28344, 611, 33205, 506, 6524, 2729, 4889, 573, 672, 1698, 236881, 1174, 795, 1601, 786, 7715, 23704, 532, 5330, 25558, 8341, 573, 506, 19520, 10884, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 112485, 1083, 78493, 62856, 1083, 623, 39460, 236761, 893, 827, 623, 9707, 1083, 236743, 236770, 236828, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 84339, 236779, 8194, 1083, 3714, 23771, 1083, 623, 236812, 236772, 236825, 22880, 2467, 676, 827, 623, 12443, 1083, 623, 236778, 236772, 236800, 22880, 2467, 676, 236775, 5237, 3714, 62856, 1083, 623, 236799, 236785, 236756, 236771, 236771, 236760, 7111, 181164, 587, 236785, 236756, 236771, 236771, 236760, 738, 1898, 43456, 827, 623, 9707, 1083, 236743, 236770, 236832, 236761, 236810, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 84339, 236779, 8194, 1083, 3714, 23771, 1083, 623, 236810, 236772, 236832, 22880, 2467, 676, 827, 623, 6047, 236779, 83625, 1083, 623, 236796, 1730, 38262, 76733, 127096, 1604, 623, 5930, 236779, 13308, 1083, 3714, 42302, 1083, 623, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 827, 623, 3250, 1083, 623, 18332, 3396, 102451, 6885, 236743, 236810, 236771, 236781, 236832, 236771, 3696, 753, 39586, 236772, 15370, 29329, 32298, 827, 623, 5690, 8112, 1083, 3714, 10236, 1083, 623, 236770, 236771, 236771, 236908, 43828, 46621, 827, 623, 86542, 1083, 623, 236770, 236761, 236812, 3951, 827, 623, 50263, 1083, 623, 71188, 102451, 236775, 5237, 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, 236862, 236771, 236778, 236787, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 2729, 4889, 573, 506, 83691, 50691, 3905, 568, 2371, 1204, 236787, 603, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 236768, 699, 9593, 9405, 236787, 108, 1018, 101309, 80007, 53121, 107, 236770, 236761, 5213, 39460, 236761, 893, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 11361, 236770, 236828, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 51164, 53121, 799, 13827, 138, 107, 139, 236772, 5213, 58582, 53121, 138, 107, 141, 236772, 13029, 236787, 236743, 236812, 236772, 236825, 1960, 2668, 138, 107, 141, 236772, 17734, 236787, 236743, 236778, 236772, 236800, 1960, 2668, 138, 108, 236778, 236761, 5213, 236799, 236959, 530, 181164, 71503, 43456, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 11361, 236770, 236832, 236761, 236810, 236771, 138, 107, 139, 236772, 5213, 51164, 53121, 10522, 236743, 236800, 2378, 528, 2862, 138, 107, 139, 236772, 5213, 58582, 53121, 138, 107, 141, 236772, 13029, 236787, 236743, 236810, 236772, 236832, 1960, 2668, 138, 107, 141, 236772, 12263, 149924, 236787, 157274, 76733, 138, 108, 1018, 7163, 67831, 53121, 138, 107, 236772, 12683, 236787, 236743, 236770, 236771, 236771, 236908, 43828, 46621, 138, 107, 236772, 173664, 236787, 236743, 236770, 236761, 236812, 3951, 138, 107, 236772, 72959, 236787, 45190, 102451, 138, 107, 236772, 19511, 236787, 236743, 236810, 236771, 236781, 236832, 236771, 3696, 138, 108, 1018, 9008, 42841, 53121, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 226100, 138, 108, 818, 1346, 13128, 3385, 563, 11361, 236770, 236832, 236761, 236810, 236771, 699, 168189, 181164, 71503, 43456, 236764, 840, 5809, 2862, 532, 4890, 12631, 2782, 5510, 236761, 9593, 236761, 893, 5469, 11442, 8341, 840, 657, 496, 8427, 3715, 3385, 236761, 21284, 611, 1133, 10686, 607, 4658, 1663, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17373, 573, 614, 16038, 15491, 19520, 528, 181864, 532, 1202, 531, 3738, 496, 3530, 1722, 529, 83691, 50691, 3905, 699, 9593, 9405, 236761, 564, 1765, 614, 9447, 1204, 568, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 236768, 573, 496, 5500, 564, 5210, 236764, 840, 564, 1461, 531, 16807, 1873, 20925, 5469, 236764, 21212, 236764, 532, 12631, 3835, 1680, 22516, 614, 1900, 236761, 28344, 611, 33205, 506, 6524, 2729, 4889, 573, 672, 1698, 236881, 1174, 795, 1601, 786, 7715, 23704, 532, 5330, 25558, 8341, 573, 506, 19520, 10884, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 112485, 1083, 78493, 62856, 1083, 623, 39460, 236761, 893, 827, 623, 9707, 1083, 236743, 236770, 236828, 236761, 236819, 236819, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 84339, 236779, 8194, 1083, 3714, 23771, 1083, 623, 236812, 236772, 236825, 22880, 2467, 676, 827, 623, 12443, 1083, 623, 236778, 236772, 236800, 22880, 2467, 676, 236775, 5237, 3714, 62856, 1083, 623, 236799, 236785, 236756, 236771, 236771, 236760, 7111, 181164, 587, 236785, 236756, 236771, 236771, 236760, 738, 1898, 43456, 827, 623, 9707, 1083, 236743, 236770, 236832, 236761, 236810, 236764, 623, 27617, 1083, 623, 79271, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 84339, 236779, 8194, 1083, 3714, 23771, 1083, 623, 236810, 236772, 236832, 22880, 2467, 676, 827, 623, 6047, 236779, 83625, 1083, 623, 236796, 1730, 38262, 76733, 127096, 1604, 623, 5930, 236779, 13308, 1083, 3714, 42302, 1083, 623, 236799, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 827, 623, 3250, 1083, 623, 18332, 3396, 102451, 6885, 236743, 236810, 236771, 236781, 236832, 236771, 3696, 753, 39586, 236772, 15370, 29329, 32298, 827, 623, 5690, 8112, 1083, 3714, 10236, 1083, 623, 236770, 236771, 236771, 236908, 43828, 46621, 827, 623, 86542, 1083, 623, 236770, 236761, 236812, 3951, 827, 623, 50263, 1083, 623, 71188, 102451, 236775, 5237, 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, 236862, 236771, 236778, 236787, 236771, 236771, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 1873, 2729, 4889, 573, 506, 83691, 50691, 3905, 568, 2371, 1204, 236787, 603, 236771, 236828, 54283, 236770, 236778, 236800, 236812, 236768, 699, 9593, 9405, 236787, 108, 1018, 101309, 80007, 53121, 107, 236770, 236761, 5213, 39460, 236761, 893, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 11361, 236770, 236828, 236761, 236819, 236819, 138, 107, 139, 236772, 5213, 51164, 53121, 799, 13827, 138, 107, 139, 236772, 5213, 58582, 53121, 138, 107, 141, 236772, 13029, 236787, 236743, 236812, 236772, 236825, 1960, 2668, 138, 107, 141, 236772, 17734, 236787, 236743, 236778, 236772, 236800, 1960, 2668, 138, 108, 236778, 236761, 5213, 236799, 236959, 530, 181164, 71503, 43456, 1018, 138, 107, 139, 236772, 5213, 11280, 53121, 11361, 236770, 236832, 236761, 236810, 236771, 138, 107, 139, 236772, 5213, 51164, 53121, 10522, 236743, 236800, 2378, 528, 2862, 138, 107, 139, 236772, 5213, 58582, 53121, 138, 107, 141, 236772, 13029, 236787, 236743, 236810, 236772, 236832, 1960, 2668, 138, 107, 141, 236772, 12263, 149924, 236787, 157274, 76733, 138, 108, 1018, 7163, 67831, 53121, 138, 107, 236772, 12683, 236787, 236743, 236770, 236771, 236771, 236908, 43828, 46621, 138, 107, 236772, 173664, 236787, 236743, 236770, 236761, 236812, 3951, 138, 107, 236772, 72959, 236787, 45190, 102451, 138, 107, 236772, 19511, 236787, 236743, 236810, 236771, 236781, 236832, 236771, 3696, 138, 108, 1018, 9008, 42841, 53121, 5365, 236743, 236810, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 236743, 236770, 236812, 236787, 236800, 236771, 226100, 138, 108, 818, 1346, 13128, 3385, 563, 11361, 236770, 236832, 236761, 236810, 236771, 699, 168189, 181164, 71503, 43456, 236764, 840, 5809, 2862, 532, 4890, 12631, 2782, 5510, 236761, 9593, 236761, 893, 5469, 11442, 8341, 840, 657, 496, 8427, 3715, 3385, 236761, 21284, 611, 1133, 10686, 607, 4658, 1663, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 12270, 506, 6524, 2686, 25282, 573, 506, 2862, 5404, 87342, 236798, 236881, 564, 1202, 531, 3540, 4803, 2544, 55470, 531, 28136, 496, 4430, 580, 910, 6828, 15771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6473, 236779, 69753, 1083, 78493, 547, 1083, 623, 8266, 236772, 236832, 236828, 236819, 236812, 236810, 827, 623, 3250, 1083, 623, 31319, 185131, 1366, 236778, 236743, 236778, 236771, 236778, 236810, 16906, 17647, 27999, 6809, 827, 623, 18381, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 31319, 5295, 236761, 795, 5588, 1061, 1855, 7737, 236743, 236778, 236771, 236778, 236810, 4867, 2536, 580, 5365, 236743, 236778, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 6641, 684, 496, 9232, 2246, 607, 13177, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 6473, 236772, 18381, 236772, 236832, 236828, 236819, 236812, 236810, 23179, 3714, 547, 1083, 623, 8266, 236772, 236832, 236828, 236819, 236770, 236778, 827, 623, 3250, 1083, 623, 31319, 190304, 1799, 587, 236812, 28610, 1255, 607, 23703, 12498, 211339, 827, 623, 18381, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236771, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 31319, 38730, 506, 861, 28610, 1255, 18482, 587, 236812, 20684, 236764, 16595, 5464, 4735, 3736, 236764, 532, 2148, 236772, 2568, 9947, 132710, 1894, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 6473, 236772, 18381, 236772, 236832, 236828, 236819, 236770, 236778, 23179, 3714, 547, 1083, 623, 8266, 236772, 236832, 236828, 236828, 236832, 236825, 827, 623, 3250, 1083, 623, 31319, 13642, 2964, 100756, 9904, 139945, 528, 11560, 236772, 47204, 19037, 827, 623, 18381, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236825, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 4199, 10321, 5699, 528, 6056, 532, 4257, 15400, 795, 2066, 9947, 236789, 236751, 1262, 16545, 607, 236743, 236770, 236771, 236771, 236908, 29074, 2778, 684, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 6473, 236772, 18381, 236772, 236832, 236828, 236828, 236832, 236825, 25938, 1604, 623, 7655, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 7633, 236779, 721, 236779, 4000, 1083, 236743, 236800, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 2686, 25282, 573, 9947, 568, 226046, 236768, 52236, 699, 3104, 236743, 236770, 236787, 108, 236770, 236761, 5213, 236935, 236778, 236743, 236778, 236771, 236778, 236810, 16906, 17647, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236778, 236819, 138, 107, 139, 236829, 24355, 149681, 9947, 795, 5588, 1366, 236778, 236743, 236778, 236771, 236778, 236810, 4867, 2536, 236764, 6641, 684, 614, 29311, 2246, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 6473, 236772, 18381, 236772, 236832, 236828, 236819, 236812, 236810, 236768, 138, 108, 236778, 236761, 5213, 236792, 236812, 28610, 1255, 40440, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236771, 138, 107, 139, 236829, 24355, 149681, 1799, 28610, 1255, 607, 587, 236812, 20684, 236764, 16595, 12498, 15858, 236764, 532, 2148, 236772, 2568, 9947, 132710, 1894, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 6473, 236772, 18381, 236772, 236832, 236828, 236819, 236770, 236778, 236768, 138, 108, 236800, 236761, 5213, 115489, 742, 9904, 81909, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 138, 107, 139, 236829, 24355, 149681, 29277, 5699, 528, 6056, 236786, 236773, 236761, 15400, 531, 2066, 1262, 16545, 607, 236743, 236770, 236771, 236771, 236908, 29074, 2778, 684, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 6473, 236772, 18381, 236772, 236832, 236828, 236828, 236832, 236825, 236768, 138, 108, 3810, 659, 5213, 236810, 2558, 7704, 1018, 529, 2686, 25282, 568, 236800, 4852, 810, 3104, 769, 21284, 611, 1133, 786, 531, 33205, 4767, 7704, 653, 3213, 580, 3530, 55470, 568, 236744, 236761, 236759, 1126, 4867, 12496, 236764, 1698, 47821, 236768, 573, 822, 4430, 236789, 236751, 15771, 3540, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 3213, 580, 4867, 12496, 532, 1698, 47821, 236761, 28344, 611, 33205, 3104, 236743, 236778, 529, 506, 2686, 25282, 531, 2426, 573, 1027, 4767, 55470, 528, 1724, 12669, 236881, 564, 1461, 531, 5330, 692, 735, 496, 4133, 6083, 529, 9947, 236789, 236751, 4803, 3736, 532, 14971, 5281, 573, 506, 4430, 236789, 236751, 15771, 10834, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6473, 236779, 69753, 1083, 78493, 3250, 1083, 623, 31319, 185131, 1366, 236812, 236743, 236778, 236771, 236778, 236812, 16906, 17647, 27999, 6809, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 31319, 5295, 236761, 795, 5588, 1061, 10080, 7737, 4867, 2536, 580, 6198, 236743, 236778, 236819, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 607, 496, 3892, 211371, 531, 1500, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236772, 6473, 236772, 18381, 236770, 23179, 3714, 3250, 1083, 623, 31319, 190304, 13921, 236743, 236770, 236810, 1255, 607, 88459, 124279, 7803, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236812, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 4199, 13921, 236743, 236770, 236810, 1255, 4065, 78695, 236772, 9619, 50566, 66557, 236764, 236743, 236812, 236828, 5153, 5873, 1458, 236764, 532, 15425, 236772, 236780, 27347, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236772, 6473, 236772, 18381, 236778, 25938, 1604, 623, 4000, 236779, 2861, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 3104, 236743, 236778, 2686, 25282, 573, 9947, 568, 226046, 779, 24271, 573, 5213, 61054, 12496, 1018, 532, 5213, 5930, 47821, 66515, 108, 7243, 108, 236770, 236761, 5213, 236935, 236812, 236743, 236778, 236771, 236778, 236812, 16906, 17647, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236819, 138, 107, 139, 236829, 24355, 149681, 9947, 7735, 6614, 531, 5588, 1366, 236812, 236743, 236778, 236771, 236778, 236812, 4867, 2536, 580, 6198, 236743, 236778, 236819, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 6641, 684, 496, 3892, 211371, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236772, 6473, 236772, 18381, 236770, 236768, 138, 108, 236778, 236761, 5213, 50668, 236743, 236770, 236810, 1255, 40440, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236812, 138, 107, 139, 236829, 24355, 149681, 23051, 529, 506, 13921, 236743, 236770, 236810, 1255, 607, 78695, 236772, 9619, 50566, 66557, 236764, 236743, 236812, 236828, 5153, 5873, 1458, 236764, 532, 15425, 236772, 236780, 27347, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236772, 6473, 236772, 18381, 236778, 236768, 138, 108, 7243, 108, 1018, 27779, 4403, 53121, 138, 107, 236772, 11338, 236743, 236778, 5132, 886, 4867, 4610, 568, 236935, 236812, 236743, 236778, 236771, 236778, 236812, 2536, 236768, 532, 886, 3262, 1698, 8912, 568, 50668, 236743, 236770, 236810, 1255, 769, 138, 107, 236772, 2085, 563, 496, 5213, 23362, 3104, 1018, 2487, 568, 6725, 529, 236743, 236800, 7704, 769, 21284, 611, 1133, 786, 531, 33205, 3104, 236743, 236800, 531, 9128, 60755, 236764, 653, 3213, 580, 188999, 19317, 699, 1239, 12496, 573, 506, 4430, 236789, 236751, 15771, 3671, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 9128, 60755, 684, 67896, 3104, 236743, 236800, 1680, 188999, 19317, 236761, 564, 1202, 531, 5330, 993, 659, 951, 4767, 4867, 12496, 653, 1698, 47821, 600, 1451, 4100, 506, 4430, 236789, 236751, 15771, 7545, 236761, 9920, 692, 236789, 560, 20301, 784, 7704, 236764, 692, 740, 18840, 15067, 528, 9947, 236789, 236751, 10471, 3736, 532, 1698, 13862, 22044, 531, 1386, 1262, 236772, 27612, 15136, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 3250, 1083, 623, 31319, 185131, 1366, 236800, 236743, 236778, 236771, 236778, 236800, 16906, 17647, 27999, 6809, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 31319, 5295, 236761, 795, 2072, 1366, 236800, 236743, 236778, 236771, 236778, 236800, 4867, 2536, 580, 5505, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 2269, 506, 2436, 3107, 221476, 3714, 3250, 1083, 623, 4199, 587, 236800, 80734, 1255, 10452, 190304, 607, 83932, 12498, 211339, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236778, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236828, 827, 623, 6011, 1083, 623, 31319, 38730, 2148, 236772, 37223, 80734, 1255, 4681, 18482, 587, 236800, 22259, 35813, 573, 5464, 4735, 81014, 221476, 3714, 3250, 1083, 623, 31319, 13642, 2964, 7086, 21147, 40434, 531, 12730, 236743, 236770, 236771, 236771, 236908, 29515, 77092, 30510, 35211, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236800, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 6011, 1083, 623, 28534, 71038, 609, 236812, 236761, 236832, 7889, 531, 29074, 2778, 5699, 532, 2708, 236772, 25510, 2561, 13862, 1781, 104960, 623, 53298, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236800, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 4874, 236779, 4000, 236779, 2451, 1083, 9560, 3677, 236786, 6473, 236772, 69753, 236881, 4000, 236784, 236812, 236880, 64939, 236784, 226046, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 2686, 25282, 699, 5213, 4000, 236743, 236800, 125546, 24271, 573, 5213, 61054, 12496, 1018, 532, 5213, 5930, 47821, 66515, 138, 108, 7243, 108, 236770, 236761, 5213, 236935, 236800, 236743, 236778, 236771, 236778, 236800, 16906, 17647, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236778, 236810, 138, 107, 139, 236829, 24355, 149681, 9947, 7735, 6614, 531, 2072, 1366, 236800, 236743, 236778, 236771, 236778, 236800, 4867, 2536, 580, 5505, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 1308, 2436, 3107, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236770, 236768, 138, 108, 236778, 236761, 5213, 236792, 236800, 80734, 1255, 40440, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236828, 138, 107, 139, 236829, 24355, 149681, 23051, 529, 587, 236800, 236772, 50650, 80734, 1255, 4681, 35813, 573, 12498, 236786, 3620, 81014, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236778, 236768, 138, 108, 7243, 108, 1018, 3503, 12505, 53121, 138, 107, 236772, 11338, 236743, 236800, 5132, 886, 4867, 4610, 568, 236935, 236800, 236743, 236778, 236771, 236778, 236800, 2536, 236768, 532, 886, 1698, 8912, 568, 236792, 236800, 80734, 1255, 769, 138, 107, 236772, 669, 4168, 5588, 580, 672, 3104, 568, 10671, 6620, 17358, 236768, 27879, 531, 24488, 532, 16071, 4782, 506, 15633, 12669, 236761, 138, 107, 236772, 5213, 26685, 236743, 236812, 532, 236743, 236810, 1018, 659, 2036, 2487, 568, 6725, 529, 236743, 236810, 7704, 769, 1701, 2591, 236787, 138, 107, 138, 236772, 11338, 236743, 236812, 2473, 3204, 1581, 9862, 4867, 2536, 653, 1698, 47821, 568, 236744, 236761, 236759, 1126, 1366, 236778, 236743, 236778, 236771, 236778, 236800, 653, 6517, 769, 138, 107, 138, 236772, 11338, 236743, 236810, 1451, 3014, 11858, 1262, 653, 1908, 236772, 6102, 55470, 236761, 138, 108, 38786, 611, 1133, 531, 236787, 138, 107, 236770, 236761, 91820, 5213, 4000, 236743, 236812, 1018, 531, 4102, 49378, 60755, 236881, 138, 107, 236778, 236761, 101685, 531, 5213, 106389, 136211, 19317, 1018, 699, 784, 10819, 1262, 568, 11134, 236743, 236770, 236964, 236800, 236768, 573, 506, 4430, 236858, 236751, 15771, 7545, 236881, 138, 108, 6481, 786, 1281, 822, 24104, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 12270, 506, 6524, 2686, 25282, 573, 506, 2862, 5404, 87342, 236798, 236881, 564, 1202, 531, 3540, 4803, 2544, 55470, 531, 28136, 496, 4430, 580, 910, 6828, 15771, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6473, 236779, 69753, 1083, 78493, 547, 1083, 623, 8266, 236772, 236832, 236828, 236819, 236812, 236810, 827, 623, 3250, 1083, 623, 31319, 185131, 1366, 236778, 236743, 236778, 236771, 236778, 236810, 16906, 17647, 27999, 6809, 827, 623, 18381, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 31319, 5295, 236761, 795, 5588, 1061, 1855, 7737, 236743, 236778, 236771, 236778, 236810, 4867, 2536, 580, 5365, 236743, 236778, 236819, 236764, 236743, 236778, 236771, 236778, 236810, 236764, 6641, 684, 496, 9232, 2246, 607, 13177, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 6473, 236772, 18381, 236772, 236832, 236828, 236819, 236812, 236810, 23179, 3714, 547, 1083, 623, 8266, 236772, 236832, 236828, 236819, 236770, 236778, 827, 623, 3250, 1083, 623, 31319, 190304, 1799, 587, 236812, 28610, 1255, 607, 23703, 12498, 211339, 827, 623, 18381, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236771, 236774, 236770, 236778, 236787, 236800, 236771, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 31319, 38730, 506, 861, 28610, 1255, 18482, 587, 236812, 20684, 236764, 16595, 5464, 4735, 3736, 236764, 532, 2148, 236772, 2568, 9947, 132710, 1894, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 6473, 236772, 18381, 236772, 236832, 236828, 236819, 236770, 236778, 23179, 3714, 547, 1083, 623, 8266, 236772, 236832, 236828, 236828, 236832, 236825, 827, 623, 3250, 1083, 623, 31319, 13642, 2964, 100756, 9904, 139945, 528, 11560, 236772, 47204, 19037, 827, 623, 18381, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236771, 236825, 236787, 236770, 236810, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 4199, 10321, 5699, 528, 6056, 532, 4257, 15400, 795, 2066, 9947, 236789, 236751, 1262, 16545, 607, 236743, 236770, 236771, 236771, 236908, 29074, 2778, 684, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 6473, 236772, 18381, 236772, 236832, 236828, 236828, 236832, 236825, 25938, 1604, 623, 7655, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 7633, 236779, 721, 236779, 4000, 1083, 236743, 236800, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 6524, 2686, 25282, 573, 9947, 568, 226046, 236768, 52236, 699, 3104, 236743, 236770, 236787, 108, 236770, 236761, 5213, 236935, 236778, 236743, 236778, 236771, 236778, 236810, 16906, 17647, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236778, 236819, 138, 107, 139, 236829, 24355, 149681, 9947, 795, 5588, 1366, 236778, 236743, 236778, 236771, 236778, 236810, 4867, 2536, 236764, 6641, 684, 614, 29311, 2246, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 6473, 236772, 18381, 236772, 236832, 236828, 236819, 236812, 236810, 236768, 138, 108, 236778, 236761, 5213, 236792, 236812, 28610, 1255, 40440, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236770, 236771, 138, 107, 139, 236829, 24355, 149681, 1799, 28610, 1255, 607, 587, 236812, 20684, 236764, 16595, 12498, 15858, 236764, 532, 2148, 236772, 2568, 9947, 132710, 1894, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 6473, 236772, 18381, 236772, 236832, 236828, 236819, 236770, 236778, 236768, 138, 108, 236800, 236761, 5213, 115489, 742, 9904, 81909, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 138, 107, 139, 236829, 24355, 149681, 29277, 5699, 528, 6056, 236786, 236773, 236761, 15400, 531, 2066, 1262, 16545, 607, 236743, 236770, 236771, 236771, 236908, 29074, 2778, 684, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 6473, 236772, 18381, 236772, 236832, 236828, 236828, 236832, 236825, 236768, 138, 108, 3810, 659, 5213, 236810, 2558, 7704, 1018, 529, 2686, 25282, 568, 236800, 4852, 810, 3104, 769, 21284, 611, 1133, 786, 531, 33205, 4767, 7704, 653, 3213, 580, 3530, 55470, 568, 236744, 236761, 236759, 1126, 4867, 12496, 236764, 1698, 47821, 236768, 573, 822, 4430, 236789, 236751, 15771, 3540, 236881, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 3213, 580, 4867, 12496, 532, 1698, 47821, 236761, 28344, 611, 33205, 3104, 236743, 236778, 529, 506, 2686, 25282, 531, 2426, 573, 1027, 4767, 55470, 528, 1724, 12669, 236881, 564, 1461, 531, 5330, 692, 735, 496, 4133, 6083, 529, 9947, 236789, 236751, 4803, 3736, 532, 14971, 5281, 573, 506, 4430, 236789, 236751, 15771, 10834, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 6473, 236779, 69753, 1083, 78493, 3250, 1083, 623, 31319, 185131, 1366, 236812, 236743, 236778, 236771, 236778, 236812, 16906, 17647, 27999, 6809, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236771, 236828, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 31319, 5295, 236761, 795, 5588, 1061, 10080, 7737, 4867, 2536, 580, 6198, 236743, 236778, 236819, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 607, 496, 3892, 211371, 531, 1500, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236772, 6473, 236772, 18381, 236770, 23179, 3714, 3250, 1083, 623, 31319, 190304, 13921, 236743, 236770, 236810, 1255, 607, 88459, 124279, 7803, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236812, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 6011, 1083, 623, 4199, 13921, 236743, 236770, 236810, 1255, 4065, 78695, 236772, 9619, 50566, 66557, 236764, 236743, 236812, 236828, 5153, 5873, 1458, 236764, 532, 15425, 236772, 236780, 27347, 10498, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236772, 6473, 236772, 18381, 236778, 25938, 1604, 623, 4000, 236779, 2861, 1083, 236743, 236800, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 3104, 236743, 236778, 2686, 25282, 573, 9947, 568, 226046, 779, 24271, 573, 5213, 61054, 12496, 1018, 532, 5213, 5930, 47821, 66515, 108, 7243, 108, 236770, 236761, 5213, 236935, 236812, 236743, 236778, 236771, 236778, 236812, 16906, 17647, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236778, 236819, 138, 107, 139, 236829, 24355, 149681, 9947, 7735, 6614, 531, 5588, 1366, 236812, 236743, 236778, 236771, 236778, 236812, 4867, 2536, 580, 6198, 236743, 236778, 236819, 236764, 236743, 236778, 236771, 236778, 236812, 236764, 6641, 684, 496, 3892, 211371, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236772, 6473, 236772, 18381, 236770, 236768, 138, 108, 236778, 236761, 5213, 50668, 236743, 236770, 236810, 1255, 40440, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236770, 236812, 138, 107, 139, 236829, 24355, 149681, 23051, 529, 506, 13921, 236743, 236770, 236810, 1255, 607, 78695, 236772, 9619, 50566, 66557, 236764, 236743, 236812, 236828, 5153, 5873, 1458, 236764, 532, 15425, 236772, 236780, 27347, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236772, 6473, 236772, 18381, 236778, 236768, 138, 108, 7243, 108, 1018, 27779, 4403, 53121, 138, 107, 236772, 11338, 236743, 236778, 5132, 886, 4867, 4610, 568, 236935, 236812, 236743, 236778, 236771, 236778, 236812, 2536, 236768, 532, 886, 3262, 1698, 8912, 568, 50668, 236743, 236770, 236810, 1255, 769, 138, 107, 236772, 2085, 563, 496, 5213, 23362, 3104, 1018, 2487, 568, 6725, 529, 236743, 236800, 7704, 769, 21284, 611, 1133, 786, 531, 33205, 3104, 236743, 236800, 531, 9128, 60755, 236764, 653, 3213, 580, 188999, 19317, 699, 1239, 12496, 573, 506, 4430, 236789, 236751, 15771, 3671, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 6481, 236789, 236751, 9128, 60755, 684, 67896, 3104, 236743, 236800, 1680, 188999, 19317, 236761, 564, 1202, 531, 5330, 993, 659, 951, 4767, 4867, 12496, 653, 1698, 47821, 600, 1451, 4100, 506, 4430, 236789, 236751, 15771, 7545, 236761, 9920, 692, 236789, 560, 20301, 784, 7704, 236764, 692, 740, 18840, 15067, 528, 9947, 236789, 236751, 10471, 3736, 532, 1698, 13862, 22044, 531, 1386, 1262, 236772, 27612, 15136, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 3250, 1083, 623, 31319, 185131, 1366, 236800, 236743, 236778, 236771, 236778, 236800, 16906, 17647, 27999, 6809, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236770, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236770, 236771, 827, 623, 6011, 1083, 623, 31319, 5295, 236761, 795, 2072, 1366, 236800, 236743, 236778, 236771, 236778, 236800, 4867, 2536, 580, 5505, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 2269, 506, 2436, 3107, 221476, 3714, 3250, 1083, 623, 4199, 587, 236800, 80734, 1255, 10452, 190304, 607, 83932, 12498, 211339, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236778, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236828, 827, 623, 6011, 1083, 623, 31319, 38730, 2148, 236772, 37223, 80734, 1255, 4681, 18482, 587, 236800, 22259, 35813, 573, 5464, 4735, 81014, 221476, 3714, 3250, 1083, 623, 31319, 13642, 2964, 7086, 21147, 40434, 531, 12730, 236743, 236770, 236771, 236771, 236908, 29515, 77092, 30510, 35211, 827, 623, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236800, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236810, 827, 623, 6011, 1083, 623, 28534, 71038, 609, 236812, 236761, 236832, 7889, 531, 29074, 2778, 5699, 532, 2708, 236772, 25510, 2561, 13862, 1781, 104960, 623, 53298, 1083, 3714, 4002, 236779, 4000, 1083, 236743, 236800, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236764, 623, 4874, 236779, 4000, 236779, 2451, 1083, 9560, 3677, 236786, 6473, 236772, 69753, 236881, 4000, 236784, 236812, 236880, 64939, 236784, 226046, 127096, 106, 107, 105, 4368, 107, 8291, 659, 506, 2686, 25282, 699, 5213, 4000, 236743, 236800, 125546, 24271, 573, 5213, 61054, 12496, 1018, 532, 5213, 5930, 47821, 66515, 138, 108, 7243, 108, 236770, 236761, 5213, 236935, 236800, 236743, 236778, 236771, 236778, 236800, 16906, 17647, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236778, 236810, 138, 107, 139, 236829, 24355, 149681, 9947, 7735, 6614, 531, 2072, 1366, 236800, 236743, 236778, 236771, 236778, 236800, 4867, 2536, 580, 5505, 236743, 236778, 236810, 236764, 236743, 236778, 236771, 236778, 236800, 236764, 1308, 2436, 3107, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236770, 236768, 138, 108, 236778, 236761, 5213, 236792, 236800, 80734, 1255, 40440, 1018, 138, 107, 139, 236829, 3682, 149681, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236832, 236772, 236771, 236828, 138, 107, 139, 236829, 24355, 149681, 23051, 529, 587, 236800, 236772, 50650, 80734, 1255, 4681, 35813, 573, 12498, 236786, 3620, 81014, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 8358, 236761, 854, 236786, 236746, 134926, 236778, 236768, 138, 108, 7243, 108, 1018, 3503, 12505, 53121, 138, 107, 236772, 11338, 236743, 236800, 5132, 886, 4867, 4610, 568, 236935, 236800, 236743, 236778, 236771, 236778, 236800, 2536, 236768, 532, 886, 1698, 8912, 568, 236792, 236800, 80734, 1255, 769, 138, 107, 236772, 669, 4168, 5588, 580, 672, 3104, 568, 10671, 6620, 17358, 236768, 27879, 531, 24488, 532, 16071, 4782, 506, 15633, 12669, 236761, 138, 107, 236772, 5213, 26685, 236743, 236812, 532, 236743, 236810, 1018, 659, 2036, 2487, 568, 6725, 529, 236743, 236810, 7704, 769, 1701, 2591, 236787, 138, 107, 138, 236772, 11338, 236743, 236812, 2473, 3204, 1581, 9862, 4867, 2536, 653, 1698, 47821, 568, 236744, 236761, 236759, 1126, 1366, 236778, 236743, 236778, 236771, 236778, 236800, 653, 6517, 769, 138, 107, 138, 236772, 11338, 236743, 236810, 1451, 3014, 11858, 1262, 653, 1908, 236772, 6102, 55470, 236761, 138, 108, 38786, 611, 1133, 531, 236787, 138, 107, 236770, 236761, 91820, 5213, 4000, 236743, 236812, 1018, 531, 4102, 49378, 60755, 236881, 138, 107, 236778, 236761, 101685, 531, 5213, 106389, 136211, 19317, 1018, 699, 784, 10819, 1262, 568, 11134, 236743, 236770, 236964, 236800, 236768, 573, 506, 4430, 236858, 236751, 15771, 7545, 236881, 138, 108, 6481, 786, 1281, 822, 24104, 236888, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 496, 14268, 44979, 5464, 30659, 573, 1041, 188959, 236761, 669, 2028, 1548, 563, 22966, 54849, 236953, 236772, 236828, 236771, 236825, 236812, 236812, 236761, 5315, 236764, 2426, 9593, 236761, 854, 236789, 236751, 15830, 532, 3385, 1699, 1698, 5853, 603, 236771, 236771, 236770, 8809, 236825, 236863, 4033, 236761, 1637, 600, 20269, 236764, 2056, 1698, 5853, 603, 236771, 236771, 137414, 236778, 236794, 236828, 236825, 236855, 5205, 236761, 3792, 786, 1281, 837, 886, 563, 2487, 532, 506, 2558, 2157, 607, 12631, 236761, 564, 5278, 506, 22966, 54849, 236953, 5500, 840, 795, 1966, 24277, 768, 4127, 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, 236770, 8809, 236825, 236863, 4033, 827, 623, 219389, 1083, 623, 39460, 236761, 854, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 84339, 236779, 2289, 1083, 623, 236810, 236772, 236832, 2668, 827, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236770, 236778, 236761, 236819, 236819, 236764, 623, 84339, 1083, 236743, 236812, 236761, 236819, 236819, 236764, 623, 6725, 1083, 236743, 236770, 236832, 236761, 236819, 236828, 1263, 623, 5930, 236779, 3906, 1083, 3714, 19995, 1083, 623, 38622, 54849, 236953, 827, 623, 4368, 1083, 623, 236828, 236771, 236825, 236812, 236812, 827, 623, 7777, 1083, 623, 3285, 543, 1493, 172176, 15313, 19704, 1074, 236764, 236743, 236819, 236771, 236786, 236770, 236812, 19511, 236764, 236743, 236810, 236772, 12415, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 38622, 54849, 236953, 236772, 236828, 236771, 236825, 236812, 236812, 236772, 3285, 543, 1493, 236772, 168555, 522, 236772, 29472, 236772, 30134, 1074, 236786, 19615, 236786, 236799, 236771, 236771, 236770, 8809, 236825, 236863, 4033, 23179, 623, 83186, 236779, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 137414, 236778, 236794, 236828, 236825, 236855, 827, 623, 14210, 1083, 623, 93993, 1698, 5853, 603, 236771, 236771, 137414, 236778, 236794, 236828, 236825, 236855, 563, 2487, 768, 4354, 25938, 106, 107, 105, 4368, 107, 818, 22966, 54849, 236953, 236772, 236828, 236771, 236825, 236812, 236812, 188959, 30659, 568, 236819, 236771, 236786, 236770, 236812, 2425, 236764, 236743, 236810, 236772, 2658, 236768, 563, 2487, 580, 9593, 236761, 854, 607, 506, 2269, 4889, 236787, 108, 1018, 7163, 5853, 603, 236771, 236771, 236770, 8809, 236825, 236863, 4033, 1018, 107, 236772, 5213, 51164, 66515, 799, 13827, 107, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236761, 236819, 236819, 107, 236772, 5213, 58582, 66515, 609, 236812, 236761, 236819, 236819, 107, 236772, 5213, 9640, 11117, 66515, 609, 236770, 236832, 236761, 236819, 236828, 107, 236772, 5213, 58582, 7578, 66515, 236743, 236810, 236772, 236832, 2668, 107, 236772, 5213, 7163, 10297, 66515, 870, 38622, 54849, 236953, 236743, 236828, 236771, 236825, 236812, 236812, 162177, 1493, 19704, 1074, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 38622, 54849, 236953, 236772, 236828, 236771, 236825, 236812, 236812, 236772, 3285, 543, 1493, 236772, 168555, 522, 236772, 29472, 236772, 30134, 1074, 236786, 19615, 236786, 236799, 236771, 236771, 236770, 8809, 236825, 236863, 4033, 236768, 108, 818, 9302, 1698, 5853, 5213, 236799, 236771, 236771, 137414, 236778, 236794, 236828, 236825, 236855, 1018, 563, 992, 2487, 768, 4354, 236764, 840, 506, 5905, 5086, 12853, 822, 15633, 22966, 54849, 236953, 5500, 7121, 236761, 2301, 1202, 531, 2426, 24277, 2338, 506, 12373, 1698, 563, 528, 2862, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 496, 14268, 44979, 5464, 30659, 573, 1041, 188959, 236761, 669, 2028, 1548, 563, 22966, 54849, 236953, 236772, 236828, 236771, 236825, 236812, 236812, 236761, 5315, 236764, 2426, 9593, 236761, 854, 236789, 236751, 15830, 532, 3385, 1699, 1698, 5853, 603, 236771, 236771, 236770, 8809, 236825, 236863, 4033, 236761, 1637, 600, 20269, 236764, 2056, 1698, 5853, 603, 236771, 236771, 137414, 236778, 236794, 236828, 236825, 236855, 5205, 236761, 3792, 786, 1281, 837, 886, 563, 2487, 532, 506, 2558, 2157, 607, 12631, 236761, 564, 5278, 506, 22966, 54849, 236953, 5500, 840, 795, 1966, 24277, 768, 4127, 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, 236770, 8809, 236825, 236863, 4033, 827, 623, 219389, 1083, 623, 39460, 236761, 854, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 84339, 236779, 2289, 1083, 623, 236810, 236772, 236832, 2668, 827, 623, 9707, 1083, 3714, 5521, 1083, 236743, 236770, 236778, 236761, 236819, 236819, 236764, 623, 84339, 1083, 236743, 236812, 236761, 236819, 236819, 236764, 623, 6725, 1083, 236743, 236770, 236832, 236761, 236819, 236828, 1263, 623, 5930, 236779, 3906, 1083, 3714, 19995, 1083, 623, 38622, 54849, 236953, 827, 623, 4368, 1083, 623, 236828, 236771, 236825, 236812, 236812, 827, 623, 7777, 1083, 623, 3285, 543, 1493, 172176, 15313, 19704, 1074, 236764, 236743, 236819, 236771, 236786, 236770, 236812, 19511, 236764, 236743, 236810, 236772, 12415, 827, 623, 2451, 1083, 623, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 38622, 54849, 236953, 236772, 236828, 236771, 236825, 236812, 236812, 236772, 3285, 543, 1493, 236772, 168555, 522, 236772, 29472, 236772, 30134, 1074, 236786, 19615, 236786, 236799, 236771, 236771, 236770, 8809, 236825, 236863, 4033, 23179, 623, 83186, 236779, 5930, 236779, 547, 1083, 623, 236799, 236771, 236771, 137414, 236778, 236794, 236828, 236825, 236855, 827, 623, 14210, 1083, 623, 93993, 1698, 5853, 603, 236771, 236771, 137414, 236778, 236794, 236828, 236825, 236855, 563, 2487, 768, 4354, 25938, 106, 107, 105, 4368, 107, 818, 22966, 54849, 236953, 236772, 236828, 236771, 236825, 236812, 236812, 188959, 30659, 568, 236819, 236771, 236786, 236770, 236812, 2425, 236764, 236743, 236810, 236772, 2658, 236768, 563, 2487, 580, 9593, 236761, 854, 607, 506, 2269, 4889, 236787, 108, 1018, 7163, 5853, 603, 236771, 236771, 236770, 8809, 236825, 236863, 4033, 1018, 107, 236772, 5213, 51164, 66515, 799, 13827, 107, 236772, 5213, 11280, 66515, 609, 236770, 236778, 236761, 236819, 236819, 107, 236772, 5213, 58582, 66515, 609, 236812, 236761, 236819, 236819, 107, 236772, 5213, 9640, 11117, 66515, 609, 236770, 236832, 236761, 236819, 236828, 107, 236772, 5213, 58582, 7578, 66515, 236743, 236810, 236772, 236832, 2668, 107, 236772, 5213, 7163, 10297, 66515, 870, 38622, 54849, 236953, 236743, 236828, 236771, 236825, 236812, 236812, 162177, 1493, 19704, 1074, 5457, 2574, 1411, 2769, 236761, 30053, 236761, 854, 236786, 38622, 54849, 236953, 236772, 236828, 236771, 236825, 236812, 236812, 236772, 3285, 543, 1493, 236772, 168555, 522, 236772, 29472, 236772, 30134, 1074, 236786, 19615, 236786, 236799, 236771, 236771, 236770, 8809, 236825, 236863, 4033, 236768, 108, 818, 9302, 1698, 5853, 5213, 236799, 236771, 236771, 137414, 236778, 236794, 236828, 236825, 236855, 1018, 563, 992, 2487, 768, 4354, 236764, 840, 506, 5905, 5086, 12853, 822, 15633, 22966, 54849, 236953, 5500, 7121, 236761, 2301, 1202, 531, 2426, 24277, 2338, 506, 12373, 1698, 563, 528, 2862, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 213326, 236787, 623, 236777, 236789, 236757, 4875, 531, 21374, 496, 236743, 236770, 236819, 236825, 236819, 16103, 80817, 9786, 236743, 236770, 564, 1765, 528, 496, 134917, 10857, 4221, 714, 236761, 669, 3527, 8123, 6950, 625, 236789, 236751, 496, 236743, 236800, 236819, 236771, 24179, 2028, 236764, 840, 564, 1202, 531, 16807, 506, 2487, 3958, 151362, 573, 1061, 8299, 236761, 3199, 611, 2426, 506, 974, 236779, 1168, 9638, 236779, 2003, 236779, 37223, 236779, 547, 5904, 607, 32955, 5853, 236743, 236832, 236828, 236819, 236771, 236881, 564, 1751, 672, 2473, 1601, 786, 9128, 768, 506, 236743, 236800, 236819, 236771, 782, 236828, 3958, 691, 4077, 653, 614, 5086, 573, 600, 3530, 2028, 1051, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1168, 9638, 1083, 11058, 236800, 236819, 236771, 782, 236828, 827, 623, 236812, 236778, 236828, 113078, 36734, 782, 236828, 827, 623, 236800, 236771, 236778, 782, 236828, 14255, 623, 37223, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236771, 236764, 623, 4368, 236779, 3704, 1083, 236743, 236770, 236819, 236825, 236819, 236764, 623, 23184, 1083, 623, 818, 236743, 236800, 236819, 236771, 782, 236828, 3958, 691, 8375, 618, 496, 1494, 236772, 32677, 5086, 573, 506, 236743, 236770, 236819, 236825, 236819, 80817, 9786, 236743, 236770, 236764, 711, 4077, 5842, 1781, 236783, 106, 107, 105, 4368, 107, 818, 2487, 3958, 151362, 573, 506, 236743, 236770, 236819, 236825, 236819, 80817, 9786, 236743, 236770, 568, 62227, 5853, 236743, 236832, 236828, 236819, 236771, 236768, 3204, 236787, 107, 236772, 5213, 236800, 236819, 236771, 782, 236828, 1018, 568, 11480, 236772, 32677, 5086, 236768, 107, 236772, 5213, 236812, 236778, 236828, 113078, 36734, 782, 236828, 1018, 568, 97875, 3736, 5086, 236768, 107, 236772, 5213, 236800, 236771, 236778, 782, 236828, 1018, 568, 5521, 2028, 3958, 236768, 108, 818, 5213, 236800, 236819, 236771, 782, 236828, 691, 711, 4077, 5842, 1018, 573, 506, 236743, 236770, 236819, 236825, 236819, 9786, 236743, 236770, 1271, 625, 691, 66505, 618, 496, 3736, 19260, 236761, 2282, 9128, 768, 822, 1295, 13320, 1053, 672, 3958, 236764, 611, 1451, 236787, 107, 236770, 236761, 7179, 506, 77648, 3393, 568, 15396, 200450, 16451, 3958, 3835, 236768, 107, 236778, 236761, 11696, 573, 496, 623, 236800, 236819, 236771, 24179, 236775, 33269, 580, 506, 1295, 107, 236800, 236761, 88088, 506, 3958, 3355, 30439, 4945, 108, 38786, 611, 1133, 1601, 53255, 506, 77648, 653, 21558, 3958, 68189, 236881, 106, 107, 105, 2364, 107, 213326, 236787, 623, 6445, 600, 564, 1281, 506, 236743, 236800, 236819, 236771, 782, 236828, 691, 614, 19260, 236764, 564, 1461, 531, 1502, 73476, 4688, 573, 506, 24037, 236761, 3199, 611, 1161, 506, 3927, 236779, 17870, 5904, 531, 1586, 66756, 25684, 529, 5213, 236770, 236819, 236825, 236819, 80817, 236743, 236800, 236819, 236771, 782, 236828, 3958, 11802, 1018, 532, 5213, 22618, 19022, 34332, 1018, 236881, 564, 236858, 560, 6827, 1070, 4688, 659, 8401, 236764, 834, 564, 236858, 236753, 1133, 3835, 607, 3582, 21212, 532, 12631, 4889, 531, 134917, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5930, 236779, 1201, 1083, 623, 236770, 236819, 236825, 236819, 80817, 236743, 236800, 236819, 236771, 782, 236828, 7850, 16110, 827, 623, 119163, 1083, 623, 83738, 80817, 44919, 2372, 10498, 623, 9707, 1083, 6610, 236770, 236764, 236778, 236771, 236771, 827, 623, 84339, 1083, 623, 21550, 531, 134917, 236764, 27608, 753, 609, 236770, 236810, 236771, 12631, 23179, 3714, 5930, 236779, 1201, 1083, 623, 1479, 81449, 236743, 236800, 236819, 236771, 782, 236828, 16110, 827, 623, 119163, 1083, 623, 69033, 36811, 14297, 30510, 827, 623, 9707, 1083, 6610, 236819, 236810, 236771, 827, 623, 84339, 1083, 623, 15370, 12631, 531, 134917, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 10618, 1083, 623, 48930, 18514, 44919, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5930, 236779, 1201, 1083, 623, 22618, 126146, 15806, 753, 236743, 236770, 236819, 236825, 236819, 80817, 827, 623, 7777, 1083, 623, 71476, 236772, 57684, 25992, 1749, 19022, 1458, 607, 29929, 200244, 236764, 18944, 607, 236743, 236770, 236819, 236825, 236819, 80817, 4592, 1942, 532, 71147, 4681, 827, 623, 9707, 236779, 8572, 1083, 6610, 236770, 236764, 236778, 236771, 236771, 753, 609, 236770, 236764, 236810, 236771, 236771, 827, 623, 56905, 1083, 623, 902, 2862, 568, 236800, 6630, 22730, 623, 84339, 236779, 8194, 1083, 3714, 23771, 1083, 6610, 236770, 236778, 236810, 531, 134917, 236764, 27608, 568, 236810, 236772, 236832, 1960, 2668, 22730, 623, 4212, 83764, 1083, 6610, 236778, 236770, 236771, 531, 134917, 236764, 27608, 568, 236778, 236772, 236800, 1960, 2668, 16291, 1263, 623, 119163, 1083, 623, 15545, 698, 80403, 113369, 24694, 23179, 3714, 5930, 236779, 1201, 1083, 623, 236800, 236819, 236771, 782, 236828, 7850, 16110, 753, 236743, 236770, 236819, 236825, 236819, 80817, 827, 623, 7777, 1083, 623, 1479, 81449, 236743, 236800, 236819, 236771, 23150, 13866, 782, 236828, 3958, 3355, 607, 236743, 236812, 236772, 62358, 47862, 236764, 5132, 6079, 77746, 13049, 827, 623, 9707, 236779, 8572, 1083, 6610, 236828, 236810, 236771, 753, 609, 236770, 236764, 236771, 236810, 236771, 827, 623, 56905, 1083, 623, 5566, 2400, 568, 18700, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 22730, 623, 84339, 236779, 8194, 1083, 3714, 23771, 1083, 6610, 236819, 236810, 531, 134917, 236764, 27608, 568, 236832, 236772, 236770, 236771, 1960, 2668, 22730, 623, 4212, 83764, 1083, 6610, 236770, 236832, 236810, 531, 134917, 236764, 27608, 568, 236800, 236772, 236810, 1960, 2668, 16291, 1263, 623, 119163, 1083, 623, 57782, 16103, 19791, 44919, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 14210, 1083, 623, 27779, 2536, 3204, 8401, 102285, 6237, 532, 32029, 4688, 236761, 21284, 611, 1133, 531, 59638, 506, 3927, 3342, 7462, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 4688, 564, 1765, 573, 822, 236743, 236770, 236819, 236825, 236819, 80817, 24037, 236787, 108, 1018, 236800, 236819, 236771, 782, 236828, 7850, 82801, 1018, 138, 107, 236770, 236761, 5213, 83738, 80817, 44919, 2372, 99382, 138, 107, 139, 236772, 1799, 236743, 236800, 236819, 236771, 782, 236828, 16110, 236787, 609, 236770, 236764, 236778, 236771, 236771, 900, 609, 236770, 236810, 236771, 12631, 531, 134917, 138, 107, 236778, 236761, 5213, 69033, 36811, 14297, 30510, 1018, 138, 107, 139, 236772, 1276, 81449, 16110, 236787, 609, 236819, 236810, 236771, 607, 2196, 12631, 138, 108, 1018, 22618, 126146, 85043, 1018, 138, 107, 236770, 236761, 5213, 15545, 698, 80403, 113369, 24694, 1018, 138, 107, 139, 236772, 39591, 236772, 57684, 25992, 1749, 1458, 236787, 609, 236770, 236764, 236778, 236771, 236771, 236964, 236795, 236770, 236764, 236810, 236771, 236771, 138, 107, 139, 236772, 36585, 236787, 609, 236770, 236778, 236810, 4077, 568, 236810, 236964, 236832, 2668, 236768, 653, 609, 236778, 236770, 236771, 183862, 568, 236778, 236964, 236800, 2668, 236768, 138, 108, 195096, 5213, 10282, 66515, 669, 1855, 19022, 5689, 1354, 7412, 531, 577, 496, 36929, 3958, 3355, 20104, 568, 92259, 614, 9299, 3165, 769, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 10867, 688, 506, 3927, 573, 19022, 34332, 1699, 1607, 30154, 236881, 138, 107, 236778, 236761, 7179, 573, 102285, 568, 4199, 10687, 13827, 236768, 6237, 653, 32029, 4688, 236881, 138, 107, 236800, 236761, 39525, 3662, 4889, 573, 1239, 25684, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 213326, 236787, 623, 6481, 236858, 236751, 25044, 1800, 1271, 1171, 236764, 974, 786, 506, 3662, 4889, 573, 5213, 15545, 698, 80403, 113369, 24694, 1018, 532, 5213, 69033, 36811, 14297, 30510, 1018, 834, 564, 740, 9128, 12631, 90353, 532, 912, 58542, 236761, 9674, 236764, 740, 611, 2426, 506, 5213, 87585, 6237, 1018, 573, 506, 24179, 19022, 34332, 1699, 506, 1638, 3927, 236779, 17870, 5904, 236881, 564, 236858, 236753, 5278, 3303, 4688, 768, 901, 236858, 500, 2487, 236764, 1581, 768, 901, 2157, 496, 3103, 919, 236761, 6542, 236764, 1677, 506, 9299, 735, 1027, 18774, 573, 756, 4199, 10687, 13827, 236789, 653, 756, 6398, 12265, 236789, 4688, 600, 1451, 1601, 12019, 672, 1679, 7462, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5930, 236779, 547, 1083, 623, 182055, 236772, 236825, 236819, 22618, 236772, 87585, 827, 623, 3250, 1083, 623, 87585, 236743, 236770, 236819, 236825, 236819, 80817, 24179, 17259, 126146, 15806, 827, 623, 7777, 1083, 623, 25146, 3303, 3645, 19022, 5689, 607, 784, 6237, 236764, 11879, 26800, 16593, 236764, 236743, 236770, 236771, 236771, 236908, 24636, 10498, 623, 9707, 1083, 236743, 236812, 236832, 236810, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 19216, 1083, 623, 4199, 10687, 13827, 827, 623, 88063, 1083, 623, 52111, 18350, 6503, 827, 623, 177129, 1083, 623, 126540, 58542, 15246, 23179, 3714, 5930, 236779, 547, 1083, 623, 236794, 7719, 236772, 236825, 236819, 22618, 236772, 154222, 827, 623, 3250, 1083, 623, 6398, 12265, 236743, 236770, 236819, 236825, 236819, 80817, 24179, 58543, 126146, 15806, 827, 623, 7777, 1083, 623, 13238, 236772, 15276, 32029, 12754, 19022, 6237, 236764, 13950, 236772, 60366, 532, 877, 236772, 103337, 10498, 623, 9707, 1083, 236743, 236800, 236778, 236771, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 5566, 2400, 568, 236812, 236772, 236825, 5695, 22730, 623, 19216, 1083, 623, 6398, 12265, 827, 623, 88063, 1083, 623, 15545, 698, 80403, 113369, 24694, 827, 623, 177129, 1083, 623, 236778, 236772, 3704, 5809, 24227, 25938, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236778, 236764, 623, 28881, 1083, 3714, 10618, 1083, 623, 48930, 18514, 44919, 827, 623, 3278, 1083, 623, 87585, 24179, 19022, 5689, 236743, 236770, 236819, 236825, 236819, 80817, 23179, 623, 14210, 1083, 623, 87585, 4688, 3505, 1171, 236761, 6890, 756, 19216, 236779, 7212, 236789, 7689, 573, 14481, 756, 4199, 10687, 13827, 236789, 653, 756, 6398, 12265, 236789, 35129, 528, 13323, 9139, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 4889, 611, 15633, 236787, 108, 1018, 74671, 13948, 8230, 1018, 138, 107, 35155, 236764, 506, 9299, 1677, 711, 994, 27313, 3662, 4889, 5467, 236761, 1599, 236858, 859, 1202, 531, 236787, 138, 107, 236772, 26922, 5213, 15545, 698, 80403, 113369, 24694, 1018, 657, 910, 5125, 4456, 568, 19609, 870, 23600, 698, 236772, 4506, 8670, 236761, 854, 5457, 2574, 1411, 2769, 236761, 23600, 698, 236772, 4506, 8670, 236761, 854, 1223, 138, 107, 236772, 13948, 5213, 69033, 36811, 14297, 30510, 1018, 1343, 910, 134917, 5154, 1548, 568, 2305, 623, 69033, 36811, 14297, 30510, 5154, 236775, 580, 6475, 573, 2263, 38332, 236768, 138, 108, 1018, 87585, 54198, 573, 24179, 126146, 85043, 1018, 138, 107, 236770, 236761, 5213, 87585, 236743, 236770, 236819, 236825, 236819, 80817, 24179, 17259, 126146, 15806, 1018, 138, 107, 139, 236772, 5213, 24921, 66515, 1799, 10687, 13827, 568, 25119, 26800, 236768, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236812, 236832, 236810, 236761, 236771, 236771, 138, 107, 139, 236772, 5213, 51164, 66515, 799, 13827, 138, 107, 139, 236772, 5213, 51632, 8758, 66515, 86000, 15246, 138, 107, 139, 236772, 5213, 5825, 66515, 16103, 18350, 6503, 138, 108, 236778, 236761, 5213, 6398, 12265, 236743, 236770, 236819, 236825, 236819, 80817, 24179, 58543, 126146, 15806, 1018, 138, 107, 139, 236772, 5213, 24921, 66515, 148784, 568, 11480, 236772, 15276, 236768, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236800, 236778, 236771, 236761, 236771, 236771, 138, 107, 139, 236772, 5213, 51164, 66515, 236743, 236812, 236964, 236825, 2069, 1063, 2400, 138, 107, 139, 236772, 5213, 214721, 66515, 236743, 236778, 236772, 3704, 5809, 138, 108, 818, 9299, 12765, 35129, 684, 2165, 19216, 236779, 7212, 718, 4199, 10687, 13827, 34841, 653, 2165, 19216, 236779, 7212, 718, 6398, 12265, 34841, 573, 3402, 34369, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 19022, 5689, 3927, 3342, 1699, 1239, 18774, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 213326, 236787, 623, 236777, 236789, 236757, 4875, 531, 21374, 496, 236743, 236770, 236819, 236825, 236819, 16103, 80817, 9786, 236743, 236770, 564, 1765, 528, 496, 134917, 10857, 4221, 714, 236761, 669, 3527, 8123, 6950, 625, 236789, 236751, 496, 236743, 236800, 236819, 236771, 24179, 2028, 236764, 840, 564, 1202, 531, 16807, 506, 2487, 3958, 151362, 573, 1061, 8299, 236761, 3199, 611, 2426, 506, 974, 236779, 1168, 9638, 236779, 2003, 236779, 37223, 236779, 547, 5904, 607, 32955, 5853, 236743, 236832, 236828, 236819, 236771, 236881, 564, 1751, 672, 2473, 1601, 786, 9128, 768, 506, 236743, 236800, 236819, 236771, 782, 236828, 3958, 691, 4077, 653, 614, 5086, 573, 600, 3530, 2028, 1051, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1168, 9638, 1083, 11058, 236800, 236819, 236771, 782, 236828, 827, 623, 236812, 236778, 236828, 113078, 36734, 782, 236828, 827, 623, 236800, 236771, 236778, 782, 236828, 14255, 623, 37223, 236779, 547, 1083, 236743, 236832, 236828, 236819, 236771, 236764, 623, 4368, 236779, 3704, 1083, 236743, 236770, 236819, 236825, 236819, 236764, 623, 23184, 1083, 623, 818, 236743, 236800, 236819, 236771, 782, 236828, 3958, 691, 8375, 618, 496, 1494, 236772, 32677, 5086, 573, 506, 236743, 236770, 236819, 236825, 236819, 80817, 9786, 236743, 236770, 236764, 711, 4077, 5842, 1781, 236783, 106, 107, 105, 4368, 107, 818, 2487, 3958, 151362, 573, 506, 236743, 236770, 236819, 236825, 236819, 80817, 9786, 236743, 236770, 568, 62227, 5853, 236743, 236832, 236828, 236819, 236771, 236768, 3204, 236787, 107, 236772, 5213, 236800, 236819, 236771, 782, 236828, 1018, 568, 11480, 236772, 32677, 5086, 236768, 107, 236772, 5213, 236812, 236778, 236828, 113078, 36734, 782, 236828, 1018, 568, 97875, 3736, 5086, 236768, 107, 236772, 5213, 236800, 236771, 236778, 782, 236828, 1018, 568, 5521, 2028, 3958, 236768, 108, 818, 5213, 236800, 236819, 236771, 782, 236828, 691, 711, 4077, 5842, 1018, 573, 506, 236743, 236770, 236819, 236825, 236819, 9786, 236743, 236770, 1271, 625, 691, 66505, 618, 496, 3736, 19260, 236761, 2282, 9128, 768, 822, 1295, 13320, 1053, 672, 3958, 236764, 611, 1451, 236787, 107, 236770, 236761, 7179, 506, 77648, 3393, 568, 15396, 200450, 16451, 3958, 3835, 236768, 107, 236778, 236761, 11696, 573, 496, 623, 236800, 236819, 236771, 24179, 236775, 33269, 580, 506, 1295, 107, 236800, 236761, 88088, 506, 3958, 3355, 30439, 4945, 108, 38786, 611, 1133, 1601, 53255, 506, 77648, 653, 21558, 3958, 68189, 236881, 106, 107, 105, 2364, 107, 213326, 236787, 623, 6445, 600, 564, 1281, 506, 236743, 236800, 236819, 236771, 782, 236828, 691, 614, 19260, 236764, 564, 1461, 531, 1502, 73476, 4688, 573, 506, 24037, 236761, 3199, 611, 1161, 506, 3927, 236779, 17870, 5904, 531, 1586, 66756, 25684, 529, 5213, 236770, 236819, 236825, 236819, 80817, 236743, 236800, 236819, 236771, 782, 236828, 3958, 11802, 1018, 532, 5213, 22618, 19022, 34332, 1018, 236881, 564, 236858, 560, 6827, 1070, 4688, 659, 8401, 236764, 834, 564, 236858, 236753, 1133, 3835, 607, 3582, 21212, 532, 12631, 4889, 531, 134917, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5930, 236779, 1201, 1083, 623, 236770, 236819, 236825, 236819, 80817, 236743, 236800, 236819, 236771, 782, 236828, 7850, 16110, 827, 623, 119163, 1083, 623, 83738, 80817, 44919, 2372, 10498, 623, 9707, 1083, 6610, 236770, 236764, 236778, 236771, 236771, 827, 623, 84339, 1083, 623, 21550, 531, 134917, 236764, 27608, 753, 609, 236770, 236810, 236771, 12631, 23179, 3714, 5930, 236779, 1201, 1083, 623, 1479, 81449, 236743, 236800, 236819, 236771, 782, 236828, 16110, 827, 623, 119163, 1083, 623, 69033, 36811, 14297, 30510, 827, 623, 9707, 1083, 6610, 236819, 236810, 236771, 827, 623, 84339, 1083, 623, 15370, 12631, 531, 134917, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236778, 236764, 623, 10618, 1083, 623, 48930, 18514, 44919, 25938, 108, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5930, 236779, 1201, 1083, 623, 22618, 126146, 15806, 753, 236743, 236770, 236819, 236825, 236819, 80817, 827, 623, 7777, 1083, 623, 71476, 236772, 57684, 25992, 1749, 19022, 1458, 607, 29929, 200244, 236764, 18944, 607, 236743, 236770, 236819, 236825, 236819, 80817, 4592, 1942, 532, 71147, 4681, 827, 623, 9707, 236779, 8572, 1083, 6610, 236770, 236764, 236778, 236771, 236771, 753, 609, 236770, 236764, 236810, 236771, 236771, 827, 623, 56905, 1083, 623, 902, 2862, 568, 236800, 6630, 22730, 623, 84339, 236779, 8194, 1083, 3714, 23771, 1083, 6610, 236770, 236778, 236810, 531, 134917, 236764, 27608, 568, 236810, 236772, 236832, 1960, 2668, 22730, 623, 4212, 83764, 1083, 6610, 236778, 236770, 236771, 531, 134917, 236764, 27608, 568, 236778, 236772, 236800, 1960, 2668, 16291, 1263, 623, 119163, 1083, 623, 15545, 698, 80403, 113369, 24694, 23179, 3714, 5930, 236779, 1201, 1083, 623, 236800, 236819, 236771, 782, 236828, 7850, 16110, 753, 236743, 236770, 236819, 236825, 236819, 80817, 827, 623, 7777, 1083, 623, 1479, 81449, 236743, 236800, 236819, 236771, 23150, 13866, 782, 236828, 3958, 3355, 607, 236743, 236812, 236772, 62358, 47862, 236764, 5132, 6079, 77746, 13049, 827, 623, 9707, 236779, 8572, 1083, 6610, 236828, 236810, 236771, 753, 609, 236770, 236764, 236771, 236810, 236771, 827, 623, 56905, 1083, 623, 5566, 2400, 568, 18700, 1366, 236800, 236743, 236778, 236771, 236778, 236810, 22730, 623, 84339, 236779, 8194, 1083, 3714, 23771, 1083, 6610, 236819, 236810, 531, 134917, 236764, 27608, 568, 236832, 236772, 236770, 236771, 1960, 2668, 22730, 623, 4212, 83764, 1083, 6610, 236770, 236832, 236810, 531, 134917, 236764, 27608, 568, 236800, 236772, 236810, 1960, 2668, 16291, 1263, 623, 119163, 1083, 623, 57782, 16103, 19791, 44919, 25938, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236778, 236764, 623, 14210, 1083, 623, 27779, 2536, 3204, 8401, 102285, 6237, 532, 32029, 4688, 236761, 21284, 611, 1133, 531, 59638, 506, 3927, 3342, 7462, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 4688, 564, 1765, 573, 822, 236743, 236770, 236819, 236825, 236819, 80817, 24037, 236787, 108, 1018, 236800, 236819, 236771, 782, 236828, 7850, 82801, 1018, 138, 107, 236770, 236761, 5213, 83738, 80817, 44919, 2372, 99382, 138, 107, 139, 236772, 1799, 236743, 236800, 236819, 236771, 782, 236828, 16110, 236787, 609, 236770, 236764, 236778, 236771, 236771, 900, 609, 236770, 236810, 236771, 12631, 531, 134917, 138, 107, 236778, 236761, 5213, 69033, 36811, 14297, 30510, 1018, 138, 107, 139, 236772, 1276, 81449, 16110, 236787, 609, 236819, 236810, 236771, 607, 2196, 12631, 138, 108, 1018, 22618, 126146, 85043, 1018, 138, 107, 236770, 236761, 5213, 15545, 698, 80403, 113369, 24694, 1018, 138, 107, 139, 236772, 39591, 236772, 57684, 25992, 1749, 1458, 236787, 609, 236770, 236764, 236778, 236771, 236771, 236964, 236795, 236770, 236764, 236810, 236771, 236771, 138, 107, 139, 236772, 36585, 236787, 609, 236770, 236778, 236810, 4077, 568, 236810, 236964, 236832, 2668, 236768, 653, 609, 236778, 236770, 236771, 183862, 568, 236778, 236964, 236800, 2668, 236768, 138, 108, 195096, 5213, 10282, 66515, 669, 1855, 19022, 5689, 1354, 7412, 531, 577, 496, 36929, 3958, 3355, 20104, 568, 92259, 614, 9299, 3165, 769, 21284, 611, 1133, 786, 531, 236787, 138, 107, 236770, 236761, 10867, 688, 506, 3927, 573, 19022, 34332, 1699, 1607, 30154, 236881, 138, 107, 236778, 236761, 7179, 573, 102285, 568, 4199, 10687, 13827, 236768, 6237, 653, 32029, 4688, 236881, 138, 107, 236800, 236761, 39525, 3662, 4889, 573, 1239, 25684, 236881, 138, 108, 6481, 786, 1281, 1217, 611, 236789, 236753, 1133, 531, 7162, 236888, 106, 107, 105, 2364, 107, 213326, 236787, 623, 6481, 236858, 236751, 25044, 1800, 1271, 1171, 236764, 974, 786, 506, 3662, 4889, 573, 5213, 15545, 698, 80403, 113369, 24694, 1018, 532, 5213, 69033, 36811, 14297, 30510, 1018, 834, 564, 740, 9128, 12631, 90353, 532, 912, 58542, 236761, 9674, 236764, 740, 611, 2426, 506, 5213, 87585, 6237, 1018, 573, 506, 24179, 19022, 34332, 1699, 506, 1638, 3927, 236779, 17870, 5904, 236881, 564, 236858, 236753, 5278, 3303, 4688, 768, 901, 236858, 500, 2487, 236764, 1581, 768, 901, 2157, 496, 3103, 919, 236761, 6542, 236764, 1677, 506, 9299, 735, 1027, 18774, 573, 756, 4199, 10687, 13827, 236789, 653, 756, 6398, 12265, 236789, 4688, 600, 1451, 1601, 12019, 672, 1679, 7462, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 5930, 236779, 547, 1083, 623, 182055, 236772, 236825, 236819, 22618, 236772, 87585, 827, 623, 3250, 1083, 623, 87585, 236743, 236770, 236819, 236825, 236819, 80817, 24179, 17259, 126146, 15806, 827, 623, 7777, 1083, 623, 25146, 3303, 3645, 19022, 5689, 607, 784, 6237, 236764, 11879, 26800, 16593, 236764, 236743, 236770, 236771, 236771, 236908, 24636, 10498, 623, 9707, 1083, 236743, 236812, 236832, 236810, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 19216, 1083, 623, 4199, 10687, 13827, 827, 623, 88063, 1083, 623, 52111, 18350, 6503, 827, 623, 177129, 1083, 623, 126540, 58542, 15246, 23179, 3714, 5930, 236779, 547, 1083, 623, 236794, 7719, 236772, 236825, 236819, 22618, 236772, 154222, 827, 623, 3250, 1083, 623, 6398, 12265, 236743, 236770, 236819, 236825, 236819, 80817, 24179, 58543, 126146, 15806, 827, 623, 7777, 1083, 623, 13238, 236772, 15276, 32029, 12754, 19022, 6237, 236764, 13950, 236772, 60366, 532, 877, 236772, 103337, 10498, 623, 9707, 1083, 236743, 236800, 236778, 236771, 236761, 236771, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 56905, 1083, 623, 5566, 2400, 568, 236812, 236772, 236825, 5695, 22730, 623, 19216, 1083, 623, 6398, 12265, 827, 623, 88063, 1083, 623, 15545, 698, 80403, 113369, 24694, 827, 623, 177129, 1083, 623, 236778, 236772, 3704, 5809, 24227, 25938, 1604, 623, 6725, 236779, 25541, 1083, 236743, 236778, 236764, 623, 28881, 1083, 3714, 10618, 1083, 623, 48930, 18514, 44919, 827, 623, 3278, 1083, 623, 87585, 24179, 19022, 5689, 236743, 236770, 236819, 236825, 236819, 80817, 23179, 623, 14210, 1083, 623, 87585, 4688, 3505, 1171, 236761, 6890, 756, 19216, 236779, 7212, 236789, 7689, 573, 14481, 756, 4199, 10687, 13827, 236789, 653, 756, 6398, 12265, 236789, 35129, 528, 13323, 9139, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 506, 4889, 611, 15633, 236787, 108, 1018, 74671, 13948, 8230, 1018, 138, 107, 35155, 236764, 506, 9299, 1677, 711, 994, 27313, 3662, 4889, 5467, 236761, 1599, 236858, 859, 1202, 531, 236787, 138, 107, 236772, 26922, 5213, 15545, 698, 80403, 113369, 24694, 1018, 657, 910, 5125, 4456, 568, 19609, 870, 23600, 698, 236772, 4506, 8670, 236761, 854, 5457, 2574, 1411, 2769, 236761, 23600, 698, 236772, 4506, 8670, 236761, 854, 1223, 138, 107, 236772, 13948, 5213, 69033, 36811, 14297, 30510, 1018, 1343, 910, 134917, 5154, 1548, 568, 2305, 623, 69033, 36811, 14297, 30510, 5154, 236775, 580, 6475, 573, 2263, 38332, 236768, 138, 108, 1018, 87585, 54198, 573, 24179, 126146, 85043, 1018, 138, 107, 236770, 236761, 5213, 87585, 236743, 236770, 236819, 236825, 236819, 80817, 24179, 17259, 126146, 15806, 1018, 138, 107, 139, 236772, 5213, 24921, 66515, 1799, 10687, 13827, 568, 25119, 26800, 236768, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236812, 236832, 236810, 236761, 236771, 236771, 138, 107, 139, 236772, 5213, 51164, 66515, 799, 13827, 138, 107, 139, 236772, 5213, 51632, 8758, 66515, 86000, 15246, 138, 107, 139, 236772, 5213, 5825, 66515, 16103, 18350, 6503, 138, 108, 236778, 236761, 5213, 6398, 12265, 236743, 236770, 236819, 236825, 236819, 80817, 24179, 58543, 126146, 15806, 1018, 138, 107, 139, 236772, 5213, 24921, 66515, 148784, 568, 11480, 236772, 15276, 236768, 138, 107, 139, 236772, 5213, 11280, 66515, 609, 236800, 236778, 236771, 236761, 236771, 236771, 138, 107, 139, 236772, 5213, 51164, 66515, 236743, 236812, 236964, 236825, 2069, 1063, 2400, 138, 107, 139, 236772, 5213, 214721, 66515, 236743, 236778, 236772, 3704, 5809, 138, 108, 818, 9299, 12765, 35129, 684, 2165, 19216, 236779, 7212, 718, 4199, 10687, 13827, 34841, 653, 2165, 19216, 236779, 7212, 718, 6398, 12265, 34841, 573, 3402, 34369, 236761, 21284, 611, 1133, 786, 531, 59638, 506, 19022, 5689, 3927, 3342, 1699, 1239, 18774, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 17531, 236764, 564, 236789, 236757, 4875, 531, 2731, 496, 12441, 573, 1041, 6853, 532, 4690, 600, 41080, 506, 26761, 529, 1023, 1593, 8571, 9383, 236761, 564, 1202, 611, 531, 1586, 506, 20480, 7489, 1977, 531, 59397, 11877, 1699, 1239, 15375, 236787, 40899, 236743, 236800, 236800, 236761, 236825, 236770, 236832, 236832, 532, 50550, 753, 236770, 236770, 236832, 236761, 236819, 236825, 236770, 236810, 236761, 4298, 236764, 1769, 600, 1977, 1463, 532, 3927, 573, 496, 25260, 236772, 52728, 37987, 15028, 1699, 506, 808, 236766, 236770, 236779, 42352, 236829, 5904, 237028, 11757, 522, 580, 5756, 236764, 2263, 13153, 1133, 168735, 653, 187557, 29979, 611, 236789, 236753, 1586, 657, 506, 59397, 11877, 14369, 2436, 236761, 9996, 2889, 506, 15028, 3643, 6178, 1724, 3530, 4852, 236764, 711, 1164, 19920, 623, 561, 30724, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2811, 236779, 1201, 1083, 623, 4199, 728, 11877, 827, 623, 2811, 236779, 2084, 1083, 623, 13319, 827, 623, 17178, 236779, 11375, 1083, 236743, 236771, 236761, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 3250, 1083, 623, 175153, 2991, 712, 3667, 607, 189593, 82321, 96294, 80663, 827, 623, 77095, 1083, 11058, 236812, 5442, 168735, 236764, 6299, 236772, 29509, 4250, 607, 5442, 9551, 827, 623, 236770, 8578, 187557, 29979, 236764, 9726, 21215, 236764, 138748, 827, 623, 236778, 107072, 4481, 236772, 129569, 26012, 4446, 827, 623, 236770, 21905, 236764, 904, 12320, 532, 6496, 7701, 827, 623, 236778, 107072, 5756, 46590, 236764, 43449, 827, 623, 236791, 14490, 529, 59010, 129882, 14255, 623, 96654, 1083, 623, 236770, 236761, 5176, 168735, 6299, 532, 3409, 607, 9551, 236761, 27213, 26012, 4446, 528, 496, 94534, 1024, 7860, 236772, 11480, 5387, 236761, 236743, 236778, 236761, 85236, 168735, 236743, 236778, 236772, 236800, 4310, 810, 2678, 3097, 13935, 532, 67885, 236761, 236743, 236800, 236761, 799, 496, 13392, 236764, 17794, 187557, 29979, 236764, 21905, 17926, 236764, 74448, 236764, 46590, 236764, 532, 59010, 129882, 236761, 236743, 236812, 236761, 10973, 168735, 236743, 236778, 4310, 236764, 1299, 7298, 64479, 506, 30336, 20468, 236761, 667, 64127, 607, 4481, 46590, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 25260, 236772, 52728, 37987, 15028, 36443, 573, 822, 59397, 11877, 12441, 236764, 18482, 5213, 40323, 168735, 532, 187557, 29979, 1018, 699, 506, 2263, 14369, 2436, 236787, 108, 7243, 108, 10354, 236743, 244245, 5213, 175153, 2991, 712, 3667, 607, 189593, 82321, 96294, 80663, 1018, 138, 107, 1018, 64690, 66515, 138, 107, 236772, 236743, 236812, 5442, 168735, 236764, 6299, 236772, 29509, 4250, 607, 5442, 9551, 138, 107, 236772, 236743, 236770, 8578, 187557, 29979, 568, 63258, 21215, 779, 138748, 138, 107, 236772, 236743, 236778, 107072, 4481, 236772, 129569, 26012, 4446, 138, 107, 236772, 236743, 236770, 21905, 236764, 904, 12320, 532, 6496, 7701, 138, 107, 236772, 236743, 236778, 107072, 5756, 46590, 236764, 43449, 138, 107, 236772, 161335, 529, 59010, 129882, 138, 108, 1018, 81851, 66515, 138, 107, 236770, 236761, 5176, 168735, 6299, 532, 3409, 607, 9551, 236761, 27213, 26012, 4446, 528, 496, 94534, 1024, 7860, 236772, 11480, 5387, 236761, 138, 107, 236778, 236761, 85236, 168735, 236743, 236778, 236964, 236800, 4310, 810, 2678, 3097, 13935, 532, 67885, 236761, 138, 107, 236800, 236761, 799, 496, 13392, 236764, 17794, 187557, 29979, 236764, 21905, 17926, 236786, 236802, 598, 236764, 46590, 236764, 532, 59010, 129882, 236761, 138, 107, 236812, 236761, 10973, 168735, 236743, 236778, 4310, 236764, 1299, 7298, 64479, 506, 30336, 20468, 236761, 667, 64127, 607, 4481, 46590, 236761, 138, 108, 7243, 108, 240732, 5213, 11355, 672, 4146, 66515, 138, 107, 236772, 65284, 5213, 1166, 712, 3667, 1018, 568, 167464, 12956, 1135, 506, 1593, 8571, 9383, 236768, 532, 5213, 499, 583, 82321, 29979, 1018, 568, 236746, 55488, 657, 59397, 11877, 14369, 9766, 769, 138, 107, 236772, 52258, 58811, 5756, 236764, 2263, 13153, 532, 25260, 34894, 236764, 31983, 19920, 623, 561, 30724, 236775, 3755, 236761, 138, 107, 236772, 119558, 9128, 506, 20480, 1977, 563, 5213, 4199, 728, 11877, 1018, 568, 17178, 236787, 236743, 236771, 236761, 236810, 7251, 779, 834, 611, 236858, 500, 14049, 808, 898, 1298, 506, 13153, 659, 56466, 22429, 138, 108, 53132, 822, 1593, 8571, 236772, 52728, 12441, 236888, 236743, 251470, 247404, 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 ]
[ 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, 496, 12441, 573, 1041, 6853, 532, 4690, 600, 41080, 506, 26761, 529, 1023, 1593, 8571, 9383, 236761, 564, 1202, 611, 531, 1586, 506, 20480, 7489, 1977, 531, 59397, 11877, 1699, 1239, 15375, 236787, 40899, 236743, 236800, 236800, 236761, 236825, 236770, 236832, 236832, 532, 50550, 753, 236770, 236770, 236832, 236761, 236819, 236825, 236770, 236810, 236761, 4298, 236764, 1769, 600, 1977, 1463, 532, 3927, 573, 496, 25260, 236772, 52728, 37987, 15028, 1699, 506, 808, 236766, 236770, 236779, 42352, 236829, 5904, 237028, 11757, 522, 580, 5756, 236764, 2263, 13153, 1133, 168735, 653, 187557, 29979, 611, 236789, 236753, 1586, 657, 506, 59397, 11877, 14369, 2436, 236761, 9996, 2889, 506, 15028, 3643, 6178, 1724, 3530, 4852, 236764, 711, 1164, 19920, 623, 561, 30724, 1781, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2811, 236779, 1201, 1083, 623, 4199, 728, 11877, 827, 623, 2811, 236779, 2084, 1083, 623, 13319, 827, 623, 17178, 236779, 11375, 1083, 236743, 236771, 236761, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 113519, 1083, 78493, 3250, 1083, 623, 175153, 2991, 712, 3667, 607, 189593, 82321, 96294, 80663, 827, 623, 77095, 1083, 11058, 236812, 5442, 168735, 236764, 6299, 236772, 29509, 4250, 607, 5442, 9551, 827, 623, 236770, 8578, 187557, 29979, 236764, 9726, 21215, 236764, 138748, 827, 623, 236778, 107072, 4481, 236772, 129569, 26012, 4446, 827, 623, 236770, 21905, 236764, 904, 12320, 532, 6496, 7701, 827, 623, 236778, 107072, 5756, 46590, 236764, 43449, 827, 623, 236791, 14490, 529, 59010, 129882, 14255, 623, 96654, 1083, 623, 236770, 236761, 5176, 168735, 6299, 532, 3409, 607, 9551, 236761, 27213, 26012, 4446, 528, 496, 94534, 1024, 7860, 236772, 11480, 5387, 236761, 236743, 236778, 236761, 85236, 168735, 236743, 236778, 236772, 236800, 4310, 810, 2678, 3097, 13935, 532, 67885, 236761, 236743, 236800, 236761, 799, 496, 13392, 236764, 17794, 187557, 29979, 236764, 21905, 17926, 236764, 74448, 236764, 46590, 236764, 532, 59010, 129882, 236761, 236743, 236812, 236761, 10973, 168735, 236743, 236778, 4310, 236764, 1299, 7298, 64479, 506, 30336, 20468, 236761, 667, 64127, 607, 4481, 46590, 1781, 165075, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 25260, 236772, 52728, 37987, 15028, 36443, 573, 822, 59397, 11877, 12441, 236764, 18482, 5213, 40323, 168735, 532, 187557, 29979, 1018, 699, 506, 2263, 14369, 2436, 236787, 108, 7243, 108, 10354, 236743, 244245, 5213, 175153, 2991, 712, 3667, 607, 189593, 82321, 96294, 80663, 1018, 138, 107, 1018, 64690, 66515, 138, 107, 236772, 236743, 236812, 5442, 168735, 236764, 6299, 236772, 29509, 4250, 607, 5442, 9551, 138, 107, 236772, 236743, 236770, 8578, 187557, 29979, 568, 63258, 21215, 779, 138748, 138, 107, 236772, 236743, 236778, 107072, 4481, 236772, 129569, 26012, 4446, 138, 107, 236772, 236743, 236770, 21905, 236764, 904, 12320, 532, 6496, 7701, 138, 107, 236772, 236743, 236778, 107072, 5756, 46590, 236764, 43449, 138, 107, 236772, 161335, 529, 59010, 129882, 138, 108, 1018, 81851, 66515, 138, 107, 236770, 236761, 5176, 168735, 6299, 532, 3409, 607, 9551, 236761, 27213, 26012, 4446, 528, 496, 94534, 1024, 7860, 236772, 11480, 5387, 236761, 138, 107, 236778, 236761, 85236, 168735, 236743, 236778, 236964, 236800, 4310, 810, 2678, 3097, 13935, 532, 67885, 236761, 138, 107, 236800, 236761, 799, 496, 13392, 236764, 17794, 187557, 29979, 236764, 21905, 17926, 236786, 236802, 598, 236764, 46590, 236764, 532, 59010, 129882, 236761, 138, 107, 236812, 236761, 10973, 168735, 236743, 236778, 4310, 236764, 1299, 7298, 64479, 506, 30336, 20468, 236761, 667, 64127, 607, 4481, 46590, 236761, 138, 108, 7243, 108, 240732, 5213, 11355, 672, 4146, 66515, 138, 107, 236772, 65284, 5213, 1166, 712, 3667, 1018, 568, 167464, 12956, 1135, 506, 1593, 8571, 9383, 236768, 532, 5213, 499, 583, 82321, 29979, 1018, 568, 236746, 55488, 657, 59397, 11877, 14369, 9766, 769, 138, 107, 236772, 52258, 58811, 5756, 236764, 2263, 13153, 532, 25260, 34894, 236764, 31983, 19920, 623, 561, 30724, 236775, 3755, 236761, 138, 107, 236772, 119558, 9128, 506, 20480, 1977, 563, 5213, 4199, 728, 11877, 1018, 568, 17178, 236787, 236743, 236771, 236761, 236810, 7251, 779, 834, 611, 236858, 500, 14049, 808, 898, 1298, 506, 13153, 659, 56466, 22429, 138, 108, 53132, 822, 1593, 8571, 236772, 52728, 12441, 236888, 236743, 251470, 247404, 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, 18855, 496, 1594, 7073, 9831, 573, 496, 3577, 2203, 4596, 531, 1041, 15491, 15771, 236761, 3199, 611, 1601, 786, 2426, 506, 1594, 236779, 52230, 607, 1239, 6137, 236787, 7073, 1463, 623, 54128, 7168, 236779, 84585, 236779, 11340, 4925, 827, 19455, 531, 3204, 4845, 236772, 17429, 3136, 532, 14274, 3136, 236764, 9831, 7846, 607, 1156, 772, 4402, 28307, 623, 4199, 13251, 236775, 532, 623, 85226, 4085, 236775, 86236, 236764, 532, 3736, 64470, 1076, 657, 236743, 236828, 236810, 236908, 169179, 532, 236743, 236778, 236761, 236810, 236908, 7081, 14274, 3136, 236881, 564, 1202, 531, 5330, 506, 12434, 607, 1041, 15771, 3432, 563, 2844, 1680, 32826, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 54128, 7168, 236779, 84585, 236779, 11340, 4925, 827, 623, 4818, 1083, 623, 2181, 236779, 40645, 827, 623, 2181, 236779, 9074, 1083, 623, 17186, 827, 623, 29263, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 623, 236800, 236761, 236778, 70887, 623, 69930, 236779, 4720, 1083, 623, 236778, 236761, 236828, 70887, 623, 553, 236779, 19243, 1083, 78493, 5654, 236779, 10258, 9814, 1083, 623, 4199, 13251, 827, 623, 133319, 878, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 227295, 1083, 236743, 236812, 236771, 236771, 1263, 3714, 5654, 236779, 10258, 9814, 1083, 623, 85226, 4085, 827, 623, 133319, 878, 1083, 236743, 236819, 236828, 236771, 236771, 236764, 623, 227295, 1083, 236743, 236800, 236770, 236810, 104960, 623, 32677, 236779, 34436, 236751, 1083, 3714, 223244, 1083, 623, 236819, 236778, 70887, 623, 1387, 236779, 69930, 236779, 4720, 1083, 623, 236778, 236761, 236810, 38032, 5237, 623, 17186, 236779, 4818, 1083, 623, 4730, 827, 623, 6275, 236779, 2289, 1083, 623, 236812, 236828, 236771, 1356, 25938, 106, 107, 105, 4368, 107, 818, 1594, 2536, 573, 822, 623, 54128, 7168, 236779, 84585, 236779, 11340, 4925, 236775, 7073, 9831, 659, 6595, 236888, 5715, 236789, 236751, 506, 25890, 236787, 108, 240732, 5213, 9842, 30638, 66515, 669, 1458, 44526, 822, 10884, 2180, 9825, 236761, 107, 240732, 5213, 52277, 116589, 66515, 107, 236772, 11738, 236772, 17429, 3136, 236787, 236743, 236800, 236761, 236778, 236908, 568, 22468, 15154, 236768, 107, 236772, 67292, 3136, 236787, 236743, 236778, 236761, 236828, 236908, 568, 716, 3641, 236751, 822, 236743, 236778, 236761, 236810, 236908, 14272, 236768, 107, 236772, 749, 55199, 236787, 236743, 236819, 236778, 236908, 568, 12009, 130963, 822, 236743, 236828, 236810, 236908, 3328, 236768, 108, 247750, 5213, 4036, 6308, 19791, 66515, 107, 236770, 236761, 1799, 13251, 236787, 236743, 236770, 236778, 236764, 236810, 236771, 236771, 52547, 16130, 236743, 236812, 236771, 236771, 44495, 107, 236778, 236761, 13251, 4085, 236787, 236743, 236819, 236764, 236828, 236771, 236771, 52547, 16130, 236743, 236800, 236770, 236810, 44495, 108, 249387, 238178, 5213, 6126, 7578, 66515, 236743, 236812, 236828, 236771, 1356, 568, 49426, 20626, 2644, 236768, 108, 11069, 12434, 607, 506, 15771, 3432, 7412, 531, 577, 2844, 15195, 236761, 2343, 19455, 2874, 653, 9644, 822, 9155, 64470, 236761, 1599, 236789, 500, 1535, 531, 7162, 607, 506, 8912, 236888, 106, 107, 105, 2364, 107, 818, 1594, 2536, 1385, 23284, 236888, 564, 236789, 236753, 1133, 531, 3137, 19276, 1131, 506, 13251, 4085, 772, 2299, 236789, 236751, 3736, 2338, 625, 815, 18661, 52547, 840, 496, 3361, 4845, 236772, 17429, 3136, 531, 1799, 13251, 236761, 28344, 611, 1845, 2264, 1594, 607, 20843, 6137, 531, 43928, 3715, 8827, 5542, 573, 506, 13251, 4085, 46144, 236881, 3792, 236789, 236751, 3553, 506, 33939, 52547, 531, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 1651, 16977, 506, 1638, 9578, 10091, 532, 28307, 13138, 236761, 564, 1461, 531, 5330, 506, 9831, 7474, 10385, 1208, 40444, 3711, 1680, 21494, 506, 7073, 531, 4767, 9576, 236761, 6542, 236764, 1451, 611, 3204, 43238, 3136, 16074, 528, 672, 2148, 1594, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 54128, 7168, 236779, 84585, 236779, 11340, 4925, 827, 623, 4818, 1083, 623, 10934, 827, 623, 6275, 236779, 3970, 1083, 236743, 236778, 236771, 236771, 236764, 623, 32677, 236779, 29263, 1083, 3714, 4973, 6260, 236779, 133319, 878, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236764, 623, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236778, 236800, 236764, 623, 130515, 236779, 4720, 1083, 236743, 236771, 236761, 236800, 236828, 236764, 623, 28128, 236779, 103416, 1083, 623, 236770, 236778, 236812, 1356, 827, 623, 2181, 236779, 9074, 1083, 623, 32677, 827, 623, 17186, 236779, 181188, 1083, 623, 24137, 23179, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236800, 236787, 236778, 236770, 236953, 25938, 106, 107, 105, 4368, 107, 818, 3736, 1594, 108677, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 52547, 573, 506, 13251, 4085, 46144, 3831, 3188, 11646, 1208, 3711, 236787, 108, 249772, 5213, 3503, 116589, 66515, 107, 236772, 5213, 5147, 236772, 17429, 3136, 66515, 236743, 236778, 236761, 236800, 236908, 568, 174991, 3426, 3527, 236743, 236800, 236761, 236778, 10014, 4547, 2779, 531, 5559, 236768, 107, 236772, 5213, 196976, 3136, 66515, 236743, 236800, 236828, 236908, 568, 49426, 7644, 2644, 573, 9578, 236786, 3955, 36787, 236768, 107, 236772, 5213, 35089, 51534, 66515, 236743, 236770, 236778, 236812, 1356, 568, 58591, 573, 2430, 27215, 236768, 107, 236772, 5213, 9842, 11646, 66515, 13810, 8593, 10385, 5459, 1594, 108, 249387, 238178, 5213, 9609, 71107, 66515, 1804, 14038, 3736, 1581, 607, 236743, 236810, 236800, 236908, 4869, 52547, 568, 21314, 236761, 4487, 236743, 236819, 236764, 236828, 236771, 236771, 769, 2301, 9825, 13207, 1913, 8827, 19902, 16496, 236761, 108, 211199, 236787, 669, 12308, 563, 1388, 236772, 72642, 573, 10969, 10534, 236761, 14066, 562, 236786, 236799, 7257, 9578, 15936, 573, 13251, 4085, 28675, 531, 14846, 4006, 86239, 657, 5559, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1076, 872, 614, 562, 236786, 236799, 1594, 573, 9578, 15936, 528, 506, 13251, 4085, 46144, 2721, 580, 822, 25809, 236761, 3792, 236789, 236751, 2619, 1156, 861, 772, 4402, 607, 1607, 9578, 10091, 236787, 886, 18482, 1041, 31035, 2028, 15491, 532, 2264, 58442, 1041, 4135, 15491, 236761, 28344, 611, 18855, 672, 861, 9831, 607, 19455, 16074, 86239, 236764, 14274, 3136, 236764, 43238, 3136, 236764, 532, 4398, 2430, 15154, 990, 236881, 7323, 5330, 506, 1458, 17507, 573, 11646, 1056, 12804, 5065, 9578, 15936, 236761, 36126, 236787, 7073, 1463, 623, 85226, 17698, 236779, 75455, 236779, 3694, 827, 19455, 531, 3204, 784, 2390, 6950, 236764, 9831, 607, 1156, 772, 4402, 568, 4968, 236779, 9175, 532, 15007, 236779, 3900, 20265, 236768, 28307, 13251, 4085, 236764, 532, 3736, 64470, 657, 236743, 236828, 236810, 236908, 169179, 532, 236743, 236778, 236761, 236810, 236908, 7081, 14274, 3136, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 85226, 17698, 236779, 75455, 236779, 3694, 827, 623, 4818, 1083, 623, 2181, 236779, 76499, 827, 623, 29263, 236779, 126240, 1083, 11058, 97227, 827, 623, 69930, 236779, 4720, 827, 623, 130515, 236779, 4720, 827, 623, 18553, 236779, 92506, 236779, 2289, 14255, 623, 553, 236779, 19243, 1083, 78493, 1201, 1083, 623, 4968, 236779, 9175, 827, 623, 50694, 236779, 2084, 1083, 623, 97748, 1762, 236779, 119653, 827, 623, 5654, 236779, 10258, 9814, 1083, 623, 85226, 4085, 23179, 3714, 1201, 1083, 623, 46797, 236779, 3900, 20265, 827, 623, 50694, 236779, 2084, 1083, 623, 39822, 236779, 119653, 827, 623, 5654, 236779, 10258, 9814, 1083, 623, 85226, 4085, 25938, 1604, 623, 32677, 236779, 34436, 236751, 1083, 3714, 223244, 1083, 623, 236828, 236810, 70887, 623, 1387, 236779, 69930, 236779, 4720, 1083, 623, 236778, 236761, 236810, 171446, 623, 2181, 236779, 9074, 1083, 623, 17186, 236779, 21862, 827, 623, 6275, 236779, 3970, 1083, 236743, 236778, 236771, 236771, 236764, 623, 9731, 236779, 4818, 1083, 623, 24137, 827, 623, 4375, 1083, 623, 96550, 9831, 44526, 10428, 607, 14413, 9578, 15936, 236761, 116589, 16074, 532, 772, 2299, 51761, 10778, 17934, 1781, 236783, 106, 107, 105, 4368, 107, 818, 562, 236786, 236799, 1594, 9831, 573, 822, 13251, 4085, 7073, 815, 1010, 44526, 10428, 236888, 5715, 236789, 236751, 506, 26093, 236787, 108, 240732, 5213, 96550, 37827, 66515, 107, 236772, 5213, 96550, 5853, 66515, 13251, 17698, 236779, 75455, 236779, 3694, 107, 236772, 5213, 4036, 41534, 66515, 107, 138, 236772, 808, 4968, 236779, 9175, 63508, 103157, 15491, 9578, 107, 138, 236772, 808, 46797, 236779, 3900, 20265, 63508, 15007, 15491, 9578, 107, 236772, 5213, 10206, 66515, 13251, 4085, 46144, 108, 249772, 5213, 58946, 30452, 524, 66515, 107, 236772, 11738, 236772, 17429, 3136, 568, 97227, 236768, 107, 236772, 67292, 3136, 107, 236772, 199659, 3136, 107, 236772, 29748, 2430, 15154, 990, 108, 247182, 238178, 5213, 4521, 18365, 66515, 107, 236772, 35265, 44526, 573, 14413, 9578, 15936, 107, 236772, 19791, 64470, 1076, 236787, 236743, 236828, 236810, 236908, 169179, 236764, 236743, 236778, 236761, 236810, 236908, 7081, 14274, 3136, 107, 236772, 49598, 10778, 10385, 573, 12804, 5065, 139700, 108, 3048, 236789, 500, 5508, 531, 8912, 672, 562, 236786, 236799, 1594, 236761, 4210, 24595, 7271, 1262, 236764, 692, 740, 10769, 506, 3736, 529, 31035, 7728, 236761, 4135, 15491, 139700, 532, 30726, 2721, 580, 837, 18572, 2480, 119636, 607, 822, 13251, 4085, 9998, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 4875, 531, 18855, 496, 1594, 7073, 9831, 573, 496, 3577, 2203, 4596, 531, 1041, 15491, 15771, 236761, 3199, 611, 1601, 786, 2426, 506, 1594, 236779, 52230, 607, 1239, 6137, 236787, 7073, 1463, 623, 54128, 7168, 236779, 84585, 236779, 11340, 4925, 827, 19455, 531, 3204, 4845, 236772, 17429, 3136, 532, 14274, 3136, 236764, 9831, 7846, 607, 1156, 772, 4402, 28307, 623, 4199, 13251, 236775, 532, 623, 85226, 4085, 236775, 86236, 236764, 532, 3736, 64470, 1076, 657, 236743, 236828, 236810, 236908, 169179, 532, 236743, 236778, 236761, 236810, 236908, 7081, 14274, 3136, 236881, 564, 1202, 531, 5330, 506, 12434, 607, 1041, 15771, 3432, 563, 2844, 1680, 32826, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 54128, 7168, 236779, 84585, 236779, 11340, 4925, 827, 623, 4818, 1083, 623, 2181, 236779, 40645, 827, 623, 2181, 236779, 9074, 1083, 623, 17186, 827, 623, 29263, 1083, 3714, 4513, 236779, 17429, 236779, 4720, 1083, 623, 236800, 236761, 236778, 70887, 623, 69930, 236779, 4720, 1083, 623, 236778, 236761, 236828, 70887, 623, 553, 236779, 19243, 1083, 78493, 5654, 236779, 10258, 9814, 1083, 623, 4199, 13251, 827, 623, 133319, 878, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236764, 623, 227295, 1083, 236743, 236812, 236771, 236771, 1263, 3714, 5654, 236779, 10258, 9814, 1083, 623, 85226, 4085, 827, 623, 133319, 878, 1083, 236743, 236819, 236828, 236771, 236771, 236764, 623, 227295, 1083, 236743, 236800, 236770, 236810, 104960, 623, 32677, 236779, 34436, 236751, 1083, 3714, 223244, 1083, 623, 236819, 236778, 70887, 623, 1387, 236779, 69930, 236779, 4720, 1083, 623, 236778, 236761, 236810, 38032, 5237, 623, 17186, 236779, 4818, 1083, 623, 4730, 827, 623, 6275, 236779, 2289, 1083, 623, 236812, 236828, 236771, 1356, 25938, 106, 107, 105, 4368, 107, 818, 1594, 2536, 573, 822, 623, 54128, 7168, 236779, 84585, 236779, 11340, 4925, 236775, 7073, 9831, 659, 6595, 236888, 5715, 236789, 236751, 506, 25890, 236787, 108, 240732, 5213, 9842, 30638, 66515, 669, 1458, 44526, 822, 10884, 2180, 9825, 236761, 107, 240732, 5213, 52277, 116589, 66515, 107, 236772, 11738, 236772, 17429, 3136, 236787, 236743, 236800, 236761, 236778, 236908, 568, 22468, 15154, 236768, 107, 236772, 67292, 3136, 236787, 236743, 236778, 236761, 236828, 236908, 568, 716, 3641, 236751, 822, 236743, 236778, 236761, 236810, 236908, 14272, 236768, 107, 236772, 749, 55199, 236787, 236743, 236819, 236778, 236908, 568, 12009, 130963, 822, 236743, 236828, 236810, 236908, 3328, 236768, 108, 247750, 5213, 4036, 6308, 19791, 66515, 107, 236770, 236761, 1799, 13251, 236787, 236743, 236770, 236778, 236764, 236810, 236771, 236771, 52547, 16130, 236743, 236812, 236771, 236771, 44495, 107, 236778, 236761, 13251, 4085, 236787, 236743, 236819, 236764, 236828, 236771, 236771, 52547, 16130, 236743, 236800, 236770, 236810, 44495, 108, 249387, 238178, 5213, 6126, 7578, 66515, 236743, 236812, 236828, 236771, 1356, 568, 49426, 20626, 2644, 236768, 108, 11069, 12434, 607, 506, 15771, 3432, 7412, 531, 577, 2844, 15195, 236761, 2343, 19455, 2874, 653, 9644, 822, 9155, 64470, 236761, 1599, 236789, 500, 1535, 531, 7162, 607, 506, 8912, 236888, 106, 107, 105, 2364, 107, 818, 1594, 2536, 1385, 23284, 236888, 564, 236789, 236753, 1133, 531, 3137, 19276, 1131, 506, 13251, 4085, 772, 2299, 236789, 236751, 3736, 2338, 625, 815, 18661, 52547, 840, 496, 3361, 4845, 236772, 17429, 3136, 531, 1799, 13251, 236761, 28344, 611, 1845, 2264, 1594, 607, 20843, 6137, 531, 43928, 3715, 8827, 5542, 573, 506, 13251, 4085, 46144, 236881, 3792, 236789, 236751, 3553, 506, 33939, 52547, 531, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 1651, 16977, 506, 1638, 9578, 10091, 532, 28307, 13138, 236761, 564, 1461, 531, 5330, 506, 9831, 7474, 10385, 1208, 40444, 3711, 1680, 21494, 506, 7073, 531, 4767, 9576, 236761, 6542, 236764, 1451, 611, 3204, 43238, 3136, 16074, 528, 672, 2148, 1594, 236881, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 54128, 7168, 236779, 84585, 236779, 11340, 4925, 827, 623, 4818, 1083, 623, 10934, 827, 623, 6275, 236779, 3970, 1083, 236743, 236778, 236771, 236771, 236764, 623, 32677, 236779, 29263, 1083, 3714, 4973, 6260, 236779, 133319, 878, 1083, 236743, 236770, 236810, 236771, 236771, 236771, 236764, 623, 4513, 236779, 17429, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236778, 236800, 236764, 623, 130515, 236779, 4720, 1083, 236743, 236771, 236761, 236800, 236828, 236764, 623, 28128, 236779, 103416, 1083, 623, 236770, 236778, 236812, 1356, 827, 623, 2181, 236779, 9074, 1083, 623, 32677, 827, 623, 17186, 236779, 181188, 1083, 623, 24137, 23179, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236812, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236800, 236800, 236787, 236778, 236770, 236953, 25938, 106, 107, 105, 4368, 107, 818, 3736, 1594, 108677, 236743, 236770, 236810, 236764, 236771, 236771, 236771, 52547, 573, 506, 13251, 4085, 46144, 3831, 3188, 11646, 1208, 3711, 236787, 108, 249772, 5213, 3503, 116589, 66515, 107, 236772, 5213, 5147, 236772, 17429, 3136, 66515, 236743, 236778, 236761, 236800, 236908, 568, 174991, 3426, 3527, 236743, 236800, 236761, 236778, 10014, 4547, 2779, 531, 5559, 236768, 107, 236772, 5213, 196976, 3136, 66515, 236743, 236800, 236828, 236908, 568, 49426, 7644, 2644, 573, 9578, 236786, 3955, 36787, 236768, 107, 236772, 5213, 35089, 51534, 66515, 236743, 236770, 236778, 236812, 1356, 568, 58591, 573, 2430, 27215, 236768, 107, 236772, 5213, 9842, 11646, 66515, 13810, 8593, 10385, 5459, 1594, 108, 249387, 238178, 5213, 9609, 71107, 66515, 1804, 14038, 3736, 1581, 607, 236743, 236810, 236800, 236908, 4869, 52547, 568, 21314, 236761, 4487, 236743, 236819, 236764, 236828, 236771, 236771, 769, 2301, 9825, 13207, 1913, 8827, 19902, 16496, 236761, 108, 211199, 236787, 669, 12308, 563, 1388, 236772, 72642, 573, 10969, 10534, 236761, 14066, 562, 236786, 236799, 7257, 9578, 15936, 573, 13251, 4085, 28675, 531, 14846, 4006, 86239, 657, 5559, 236761, 106, 107, 105, 2364, 107, 236777, 236789, 236753, 1133, 531, 1076, 872, 614, 562, 236786, 236799, 1594, 573, 9578, 15936, 528, 506, 13251, 4085, 46144, 2721, 580, 822, 25809, 236761, 3792, 236789, 236751, 2619, 1156, 861, 772, 4402, 607, 1607, 9578, 10091, 236787, 886, 18482, 1041, 31035, 2028, 15491, 532, 2264, 58442, 1041, 4135, 15491, 236761, 28344, 611, 18855, 672, 861, 9831, 607, 19455, 16074, 86239, 236764, 14274, 3136, 236764, 43238, 3136, 236764, 532, 4398, 2430, 15154, 990, 236881, 7323, 5330, 506, 1458, 17507, 573, 11646, 1056, 12804, 5065, 9578, 15936, 236761, 36126, 236787, 7073, 1463, 623, 85226, 17698, 236779, 75455, 236779, 3694, 827, 19455, 531, 3204, 784, 2390, 6950, 236764, 9831, 607, 1156, 772, 4402, 568, 4968, 236779, 9175, 532, 15007, 236779, 3900, 20265, 236768, 28307, 13251, 4085, 236764, 532, 3736, 64470, 657, 236743, 236828, 236810, 236908, 169179, 532, 236743, 236778, 236761, 236810, 236908, 7081, 14274, 3136, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 80158, 236779, 547, 1083, 623, 85226, 17698, 236779, 75455, 236779, 3694, 827, 623, 4818, 1083, 623, 2181, 236779, 76499, 827, 623, 29263, 236779, 126240, 1083, 11058, 97227, 827, 623, 69930, 236779, 4720, 827, 623, 130515, 236779, 4720, 827, 623, 18553, 236779, 92506, 236779, 2289, 14255, 623, 553, 236779, 19243, 1083, 78493, 1201, 1083, 623, 4968, 236779, 9175, 827, 623, 50694, 236779, 2084, 1083, 623, 97748, 1762, 236779, 119653, 827, 623, 5654, 236779, 10258, 9814, 1083, 623, 85226, 4085, 23179, 3714, 1201, 1083, 623, 46797, 236779, 3900, 20265, 827, 623, 50694, 236779, 2084, 1083, 623, 39822, 236779, 119653, 827, 623, 5654, 236779, 10258, 9814, 1083, 623, 85226, 4085, 25938, 1604, 623, 32677, 236779, 34436, 236751, 1083, 3714, 223244, 1083, 623, 236828, 236810, 70887, 623, 1387, 236779, 69930, 236779, 4720, 1083, 623, 236778, 236761, 236810, 171446, 623, 2181, 236779, 9074, 1083, 623, 17186, 236779, 21862, 827, 623, 6275, 236779, 3970, 1083, 236743, 236778, 236771, 236771, 236764, 623, 9731, 236779, 4818, 1083, 623, 24137, 827, 623, 4375, 1083, 623, 96550, 9831, 44526, 10428, 607, 14413, 9578, 15936, 236761, 116589, 16074, 532, 772, 2299, 51761, 10778, 17934, 1781, 236783, 106, 107, 105, 4368, 107, 818, 562, 236786, 236799, 1594, 9831, 573, 822, 13251, 4085, 7073, 815, 1010, 44526, 10428, 236888, 5715, 236789, 236751, 506, 26093, 236787, 108, 240732, 5213, 96550, 37827, 66515, 107, 236772, 5213, 96550, 5853, 66515, 13251, 17698, 236779, 75455, 236779, 3694, 107, 236772, 5213, 4036, 41534, 66515, 107, 138, 236772, 808, 4968, 236779, 9175, 63508, 103157, 15491, 9578, 107, 138, 236772, 808, 46797, 236779, 3900, 20265, 63508, 15007, 15491, 9578, 107, 236772, 5213, 10206, 66515, 13251, 4085, 46144, 108, 249772, 5213, 58946, 30452, 524, 66515, 107, 236772, 11738, 236772, 17429, 3136, 568, 97227, 236768, 107, 236772, 67292, 3136, 107, 236772, 199659, 3136, 107, 236772, 29748, 2430, 15154, 990, 108, 247182, 238178, 5213, 4521, 18365, 66515, 107, 236772, 35265, 44526, 573, 14413, 9578, 15936, 107, 236772, 19791, 64470, 1076, 236787, 236743, 236828, 236810, 236908, 169179, 236764, 236743, 236778, 236761, 236810, 236908, 7081, 14274, 3136, 107, 236772, 49598, 10778, 10385, 573, 12804, 5065, 139700, 108, 3048, 236789, 500, 5508, 531, 8912, 672, 562, 236786, 236799, 1594, 236761, 4210, 24595, 7271, 1262, 236764, 692, 740, 10769, 506, 3736, 529, 31035, 7728, 236761, 4135, 15491, 139700, 532, 30726, 2721, 580, 837, 18572, 2480, 119636, 607, 822, 13251, 4085, 9998, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 1900, 496, 19406, 573, 611, 236761, 3551, 1873, 15858, 659, 5809, 531, 6655, 1938, 236764, 1288, 618, 16329, 2862, 6527, 236761, 21284, 611, 1133, 786, 531, 1385, 872, 496, 2862, 3385, 573, 611, 5205, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1900, 496, 19406, 573, 786, 236881, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 13327, 531, 1900, 496, 19406, 573, 611, 236761, 3551, 1873, 15858, 659, 5809, 531, 6655, 1938, 236764, 1288, 618, 16329, 2862, 6527, 236761, 21284, 611, 1133, 786, 531, 1385, 872, 496, 2862, 3385, 573, 611, 5205, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 9115, 236772, 81314, 19549, 12441, 4598, 573, 1041, 12339, 10411, 2148, 2069, 532, 1202, 822, 1601, 35447, 625, 236761, 5715, 236789, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 1161, 974, 5930, 2003, 10618, 531, 1586, 6672, 9115, 13153, 568, 5282, 220007, 236764, 29042, 17198, 236764, 532, 206436, 35688, 236768, 532, 16530, 13153, 568, 17887, 618, 28003, 236764, 54678, 236764, 532, 1360, 12313, 21580, 236768, 531, 2619, 496, 6831, 3905, 236761, 236743, 236778, 236761, 9920, 692, 735, 506, 31831, 1694, 236764, 2426, 768, 1027, 14049, 11808, 4928, 57356, 11139, 236761, 1637, 901, 776, 236764, 7352, 1724, 531, 79741, 1699, 7352, 236779, 236755, 42024, 236779, 1071, 236779, 46435, 15882, 2338, 1041, 19768, 1186, 6178, 79741, 236761, 236743, 236800, 236761, 13472, 236764, 1657, 496, 7548, 573, 506, 5540, 4852, 1343, 1386, 236779, 24471, 236764, 840, 1186, 1308, 49378, 506, 2558, 2157, 4038, 236789, 236745, 9644, 1041, 609, 236770, 236810, 236771, 7715, 236761, 564, 1461, 4326, 5508, 684, 9853, 5597, 834, 564, 740, 1502, 14049, 236761, 7062, 236764, 532, 564, 236789, 859, 1202, 496, 1577, 3510, 2290, 573, 1308, 12441, 753, 7463, 974, 496, 7860, 236772, 69518, 3658, 699, 974, 236779, 4873, 3510, 236779, 3017, 531, 2514, 2432, 45489, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 1201, 1083, 623, 69761, 189470, 827, 623, 10618, 1083, 623, 51423, 13153, 827, 623, 9707, 1083, 236743, 236828, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 77143, 83924, 54678, 607, 6672, 9115, 35226, 23179, 3714, 1201, 1083, 623, 236791, 802, 121174, 827, 623, 10618, 1083, 623, 51423, 13153, 827, 623, 9707, 1083, 236743, 236770, 236778, 236761, 236812, 236819, 236764, 623, 7777, 1083, 623, 9585, 7413, 29042, 17198, 573, 5111, 97950, 23179, 3714, 1201, 1083, 623, 176753, 721, 5298, 2302, 827, 623, 10618, 1083, 623, 51423, 13153, 827, 623, 9707, 1083, 236743, 236810, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 51632, 525, 9115, 206436, 35688, 573, 90927, 23179, 3714, 1201, 1083, 623, 164156, 498, 7707, 167974, 827, 623, 10618, 1083, 623, 81314, 13153, 827, 623, 9707, 1083, 236743, 236778, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 107332, 16530, 28003, 573, 520, 5504, 653, 97950, 23179, 3714, 1201, 1083, 623, 236780, 129113, 827, 623, 10618, 1083, 623, 81314, 13153, 827, 623, 9707, 1083, 236743, 236770, 236761, 236812, 236819, 236764, 623, 7777, 1083, 623, 32051, 3826, 54678, 573, 1360, 12313, 21580, 39364, 23179, 3714, 1201, 1083, 623, 59519, 524, 89636, 2795, 7892, 536, 827, 623, 10618, 1083, 623, 81314, 13153, 827, 623, 9707, 1083, 236743, 236770, 236812, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 236780, 2600, 21580, 208362, 573, 6672, 16530, 12652, 25938, 1604, 623, 6725, 236779, 17870, 1083, 236743, 236825, 236764, 623, 27617, 1083, 623, 38556, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31408, 236779, 547, 1083, 623, 84785, 236772, 236812, 236828, 236778, 236819, 236770, 827, 623, 4818, 1083, 623, 40812, 827, 623, 13304, 236779, 23460, 1083, 236743, 236812, 236825, 236761, 236819, 236812, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 92757, 1083, 623, 155822, 75848, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236810, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 111647, 827, 623, 69518, 1083, 623, 28602, 25938, 106, 107, 105, 4368, 107, 11069, 9115, 236772, 81314, 12441, 4598, 563, 784, 1076, 236888, 5715, 236789, 236751, 506, 12323, 236787, 108, 1018, 5403, 6885, 1018, 107, 236772, 9115, 226754, 236787, 23518, 189470, 6131, 236828, 236761, 236819, 236819, 779, 111041, 121174, 6131, 236770, 236778, 236761, 236812, 236819, 779, 150548, 5298, 2302, 6131, 236810, 236761, 236819, 236819, 236768, 107, 236772, 16530, 226754, 236787, 124028, 7707, 167974, 6131, 236778, 236761, 236819, 236819, 779, 565, 129113, 6131, 236770, 236761, 236812, 236819, 779, 19862, 524, 89636, 2795, 7892, 536, 6131, 236770, 236812, 236761, 236819, 236819, 236768, 107, 236772, 12613, 236787, 609, 236812, 236825, 236761, 236819, 236812, 568, 13086, 1208, 822, 609, 236770, 236810, 236771, 7715, 236768, 108, 1018, 117635, 24118, 1018, 107, 236772, 2301, 57356, 11139, 1765, 528, 1698, 29141, 753, 951, 14274, 4354, 573, 822, 19768, 108, 1018, 27932, 18365, 1018, 107, 236772, 609, 236812, 236825, 236761, 236819, 236812, 10428, 6382, 531, 161024, 75848, 568, 17704, 5853, 236787, 69979, 236772, 236812, 236828, 236778, 236819, 236770, 236768, 108, 1018, 7118, 236772, 144999, 28234, 1018, 107, 236772, 6644, 3510, 3658, 236787, 623, 111647, 236775, 568, 28602, 14644, 236768, 108, 3243, 9395, 7723, 684, 10119, 12399, 236761, 20728, 14049, 532, 4059, 822, 4598, 236888, 236743, 246903, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 6995, 496, 9115, 236772, 81314, 19549, 12441, 4598, 573, 1041, 12339, 10411, 2148, 2069, 532, 1202, 822, 1601, 35447, 625, 236761, 5715, 236789, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 1161, 974, 5930, 2003, 10618, 531, 1586, 6672, 9115, 13153, 568, 5282, 220007, 236764, 29042, 17198, 236764, 532, 206436, 35688, 236768, 532, 16530, 13153, 568, 17887, 618, 28003, 236764, 54678, 236764, 532, 1360, 12313, 21580, 236768, 531, 2619, 496, 6831, 3905, 236761, 236743, 236778, 236761, 9920, 692, 735, 506, 31831, 1694, 236764, 2426, 768, 1027, 14049, 11808, 4928, 57356, 11139, 236761, 1637, 901, 776, 236764, 7352, 1724, 531, 79741, 1699, 7352, 236779, 236755, 42024, 236779, 1071, 236779, 46435, 15882, 2338, 1041, 19768, 1186, 6178, 79741, 236761, 236743, 236800, 236761, 13472, 236764, 1657, 496, 7548, 573, 506, 5540, 4852, 1343, 1386, 236779, 24471, 236764, 840, 1186, 1308, 49378, 506, 2558, 2157, 4038, 236789, 236745, 9644, 1041, 609, 236770, 236810, 236771, 7715, 236761, 564, 1461, 4326, 5508, 684, 9853, 5597, 834, 564, 740, 1502, 14049, 236761, 7062, 236764, 532, 564, 236789, 859, 1202, 496, 1577, 3510, 2290, 573, 1308, 12441, 753, 7463, 974, 496, 7860, 236772, 69518, 3658, 699, 974, 236779, 4873, 3510, 236779, 3017, 531, 2514, 2432, 45489, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 17870, 1083, 78493, 1201, 1083, 623, 69761, 189470, 827, 623, 10618, 1083, 623, 51423, 13153, 827, 623, 9707, 1083, 236743, 236828, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 77143, 83924, 54678, 607, 6672, 9115, 35226, 23179, 3714, 1201, 1083, 623, 236791, 802, 121174, 827, 623, 10618, 1083, 623, 51423, 13153, 827, 623, 9707, 1083, 236743, 236770, 236778, 236761, 236812, 236819, 236764, 623, 7777, 1083, 623, 9585, 7413, 29042, 17198, 573, 5111, 97950, 23179, 3714, 1201, 1083, 623, 176753, 721, 5298, 2302, 827, 623, 10618, 1083, 623, 51423, 13153, 827, 623, 9707, 1083, 236743, 236810, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 51632, 525, 9115, 206436, 35688, 573, 90927, 23179, 3714, 1201, 1083, 623, 164156, 498, 7707, 167974, 827, 623, 10618, 1083, 623, 81314, 13153, 827, 623, 9707, 1083, 236743, 236778, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 107332, 16530, 28003, 573, 520, 5504, 653, 97950, 23179, 3714, 1201, 1083, 623, 236780, 129113, 827, 623, 10618, 1083, 623, 81314, 13153, 827, 623, 9707, 1083, 236743, 236770, 236761, 236812, 236819, 236764, 623, 7777, 1083, 623, 32051, 3826, 54678, 573, 1360, 12313, 21580, 39364, 23179, 3714, 1201, 1083, 623, 59519, 524, 89636, 2795, 7892, 536, 827, 623, 10618, 1083, 623, 81314, 13153, 827, 623, 9707, 1083, 236743, 236770, 236812, 236761, 236819, 236819, 236764, 623, 7777, 1083, 623, 236780, 2600, 21580, 208362, 573, 6672, 16530, 12652, 25938, 1604, 623, 6725, 236779, 17870, 1083, 236743, 236825, 236764, 623, 27617, 1083, 623, 38556, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 31408, 236779, 547, 1083, 623, 84785, 236772, 236812, 236828, 236778, 236819, 236770, 827, 623, 4818, 1083, 623, 40812, 827, 623, 13304, 236779, 23460, 1083, 236743, 236812, 236825, 236761, 236819, 236812, 236764, 623, 27617, 1083, 623, 38556, 827, 623, 92757, 1083, 623, 155822, 75848, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236825, 236772, 236770, 236828, 236774, 236770, 236810, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 111647, 827, 623, 69518, 1083, 623, 28602, 25938, 106, 107, 105, 4368, 107, 11069, 9115, 236772, 81314, 12441, 4598, 563, 784, 1076, 236888, 5715, 236789, 236751, 506, 12323, 236787, 108, 1018, 5403, 6885, 1018, 107, 236772, 9115, 226754, 236787, 23518, 189470, 6131, 236828, 236761, 236819, 236819, 779, 111041, 121174, 6131, 236770, 236778, 236761, 236812, 236819, 779, 150548, 5298, 2302, 6131, 236810, 236761, 236819, 236819, 236768, 107, 236772, 16530, 226754, 236787, 124028, 7707, 167974, 6131, 236778, 236761, 236819, 236819, 779, 565, 129113, 6131, 236770, 236761, 236812, 236819, 779, 19862, 524, 89636, 2795, 7892, 536, 6131, 236770, 236812, 236761, 236819, 236819, 236768, 107, 236772, 12613, 236787, 609, 236812, 236825, 236761, 236819, 236812, 568, 13086, 1208, 822, 609, 236770, 236810, 236771, 7715, 236768, 108, 1018, 117635, 24118, 1018, 107, 236772, 2301, 57356, 11139, 1765, 528, 1698, 29141, 753, 951, 14274, 4354, 573, 822, 19768, 108, 1018, 27932, 18365, 1018, 107, 236772, 609, 236812, 236825, 236761, 236819, 236812, 10428, 6382, 531, 161024, 75848, 568, 17704, 5853, 236787, 69979, 236772, 236812, 236828, 236778, 236819, 236770, 236768, 108, 1018, 7118, 236772, 144999, 28234, 1018, 107, 236772, 6644, 3510, 3658, 236787, 623, 111647, 236775, 568, 28602, 14644, 236768, 108, 3243, 9395, 7723, 684, 10119, 12399, 236761, 20728, 14049, 532, 4059, 822, 4598, 236888, 236743, 246903, 244710, 238178, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 47113, 5737, 236764, 17673, 236761, 564, 236789, 560, 1010, 50629, 4776, 1003, 506, 518, 126984, 7146, 699, 1041, 18918, 528, 44099, 237028, 20890, 236789, 500, 834, 31492, 528, 1023, 28968, 236764, 607, 14546, 30272, 1133, 2523, 14558, 236761, 5393, 14074, 236764, 564, 5004, 886, 657, 1023, 80666, 20376, 54447, 568, 12009, 38011, 528, 672, 19227, 236764, 5889, 236789, 236745, 625, 78546, 532, 625, 1603, 786, 5601, 1003, 506, 3658, 4850, 236761, 1599, 1460, 236764, 1041, 60898, 6950, 600, 623, 236763, 126984, 236775, 691, 3622, 1456, 618, 614, 83765, 528, 2255, 5422, 23505, 236764, 1133, 22454, 15337, 23143, 684, 6225, 36579, 236761, 28344, 611, 1601, 786, 15819, 672, 9668, 236881, 5315, 236764, 1161, 600, 34410, 3927, 5904, 531, 1385, 872, 623, 236763, 126984, 236775, 618, 496, 34410, 237028, 82641, 786, 1061, 38320, 532, 1217, 625, 3588, 531, 2689, 1800, 496, 5028, 532, 496, 59398, 236761, 4298, 236764, 2426, 784, 77536, 6667, 607, 506, 784, 236779, 106389, 31307, 5904, 531, 9128, 768, 625, 9995, 5151, 618, 614, 83765, 236761, 808, 2859, 236829, 625, 1677, 237028, 624, 1186, 768, 237028, 1437, 1774, 2918, 1374, 577, 1699, 506, 83765, 3927, 5904, 580, 600, 3530, 83765, 1183, 531, 53144, 1217, 1061, 6590, 29465, 699, 22454, 7146, 531, 15337, 1024, 24744, 236761, 564, 236789, 236753, 2765, 531, 4024, 672, 607, 1041, 20376, 2748, 2299, 2148, 2069, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 236763, 126984, 827, 623, 90906, 1083, 78493, 1655, 236779, 1340, 236779, 67692, 1083, 623, 115094, 827, 623, 59603, 1083, 623, 236776, 2455, 5145, 5028, 568, 236811, 37726, 2445, 860, 514, 25341, 236768, 11363, 531, 4673, 236764, 17202, 684, 19658, 4007, 14546, 600, 2171, 1131, 10929, 105617, 236764, 18911, 12688, 740, 98148, 236761, 148207, 31492, 528, 33837, 532, 48180, 28968, 10498, 623, 8358, 236779, 54554, 1083, 623, 818, 9744, 60953, 21508, 1208, 506, 12440, 518, 126984, 5028, 573, 506, 14919, 17620, 221476, 3714, 1655, 236779, 1340, 236779, 67692, 1083, 623, 115094, 827, 623, 59603, 1083, 623, 236776, 20034, 236772, 50742, 59398, 72139, 496, 126040, 236764, 41063, 23143, 684, 6225, 48197, 568, 225053, 527, 236768, 1913, 506, 33849, 6933, 236764, 3209, 12569, 618, 33835, 10063, 66444, 528, 506, 236743, 236770, 236828, 594, 236785, 236756, 236778, 236771, 236770, 236800, 236770, 236819, 594, 24744, 10498, 623, 8358, 236779, 54554, 1083, 623, 818, 65637, 117866, 13571, 1651, 9922, 496, 14538, 518, 126984, 532, 77084, 528, 914, 2748, 1781, 104960, 623, 536, 176588, 1083, 623, 4663, 18642, 756, 236763, 126984, 236789, 8718, 236756, 236771, 236819, 236778, 236755, 236785, 236756, 236771, 236819, 236778, 236828, 236785, 236756, 236771, 236819, 236800, 236760, 236785, 236756, 236771, 236819, 236778, 236760, 236785, 236756, 236771, 236819, 236800, 236744, 236785, 236756, 236771, 236819, 236778, 236828, 779, 11233, 699, 756, 6983, 722, 236789, 568, 74392, 779, 90506, 6225, 36579, 1015, 30748, 506, 59398, 236761, 669, 5028, 236789, 236751, 1463, 90851, 699, 506, 1638, 5989, 2779, 531, 1061, 12428, 607, 39971, 8904, 22658, 25038, 1061, 23791, 10498, 623, 124977, 236779, 23184, 1083, 623, 818, 59398, 5113, 25091, 528, 5422, 684, 236743, 236770, 236825, 236832, 236771, 236751, 236764, 1651, 506, 5028, 5113, 691, 9941, 684, 236743, 236770, 236825, 236819, 236771, 236751, 236761, 154550, 8633, 10997, 618, 6693, 39393, 5143, 1800, 506, 5028, 236789, 236751, 25581, 14546, 532, 506, 48197, 236789, 20034, 101618, 607, 63382, 236764, 74647, 3797, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 236763, 126984, 827, 623, 106389, 25860, 236779, 20251, 1083, 78493, 845, 1083, 623, 236763, 126984, 827, 623, 1655, 236779, 1340, 236779, 67692, 1083, 623, 115094, 827, 623, 26514, 236779, 36898, 1083, 11058, 818, 518, 126984, 5028, 236789, 236751, 19658, 14546, 8254, 496, 3756, 21450, 2557, 10498, 623, 79796, 23505, 9779, 31492, 154863, 529, 518, 126984, 528, 44099, 62192, 623, 173576, 3316, 236779, 55558, 1083, 11058, 38331, 1153, 236772, 8960, 1527, 34410, 827, 623, 125163, 34410, 1056, 90506, 633, 37726, 2445, 860, 514, 25341, 14255, 623, 124977, 236779, 23184, 1083, 623, 235475, 524, 699, 18642, 756, 236763, 126984, 236789, 8718, 236756, 236771, 236819, 236800, 236810, 236785, 236756, 236771, 236819, 236770, 236760, 621, 236756, 236771, 236819, 236800, 236810, 236785, 236756, 236771, 236819, 236812, 236800, 236785, 236756, 236771, 236819, 236770, 236810, 236785, 236756, 236771, 236819, 236812, 236753, 236785, 236756, 236771, 236819, 236800, 236832, 236768, 4323, 148430, 756, 236766, 236785, 236756, 236771, 236770, 236771, 236770, 3598, 236762, 236785, 236756, 236771, 236770, 236771, 236770, 236749, 963, 13320, 94684, 33837, 48197, 1015, 10057, 5754, 1208, 1239, 7146, 23179, 3714, 845, 1083, 623, 236763, 126984, 827, 623, 1655, 236779, 1340, 236779, 67692, 1083, 623, 553, 38847, 827, 623, 26514, 236779, 36898, 1083, 11058, 1980, 72322, 8735, 4928, 756, 236763, 126984, 33574, 236789, 23143, 684, 7123, 4673, 6503, 10221, 827, 623, 818, 14871, 15205, 614, 236743, 236770, 236828, 594, 236772, 33201, 518, 126984, 61617, 607, 174238, 58775, 14255, 623, 173576, 3316, 236779, 55558, 1083, 11058, 5466, 199399, 2939, 1186, 827, 623, 2023, 4936, 525, 528, 4532, 5422, 14255, 623, 124977, 236779, 23184, 1083, 623, 128447, 8633, 10997, 505, 236761, 236743, 236770, 236825, 236832, 236771, 236751, 1056, 6693, 36579, 1456, 756, 236763, 126984, 236789, 772, 928, 648, 1154, 531, 9779, 63035, 23143, 684, 6225, 48197, 568, 236763, 1309, 743, 779, 3209, 24783, 531, 20034, 236772, 50742, 15337, 25938, 1604, 623, 536, 1177, 3535, 236779, 15516, 1083, 623, 4036, 928, 3396, 14120, 5467, 80820, 699, 506, 34410, 756, 236763, 126984, 236789, 568, 74392, 236768, 621, 236756, 236778, 236770, 236819, 236778, 756, 236763, 126984, 59398, 236789, 621, 236756, 236778, 236770, 236819, 236778, 61861, 83765, 236761, 2301, 1982, 5028, 236772, 1071, 236772, 191055, 52322, 3205, 236793, 51083, 1343, 9226, 12428, 607, 36579, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 236763, 126984, 827, 623, 536, 1177, 3535, 236779, 6306, 1083, 623, 182790, 699, 756, 48814, 1037, 236789, 568, 236770, 236825, 594, 236772, 33201, 5422, 1941, 573, 33837, 48197, 529, 506, 603, 10096, 70930, 528, 10063, 4673, 236764, 699, 148430, 756, 236766, 236785, 236756, 236771, 236770, 236771, 236770, 236785, 236756, 236770, 236744, 236812, 236832, 47744, 213107, 623, 803, 24573, 236779, 100443, 236779, 553, 928, 3396, 236779, 26514, 1083, 623, 236770, 236832, 236770, 236778, 528, 3415, 83204, 236789, 236751, 756, 4199, 87214, 531, 14277, 2632, 756, 151977, 496, 603, 126984, 667, 931, 75334, 623, 108414, 236779, 28964, 1083, 11058, 236770, 236825, 236832, 236771, 236751, 236787, 646, 1522, 756, 236763, 126984, 236789, 1171, 17230, 531, 506, 20034, 59398, 23143, 684, 6225, 36579, 827, 623, 39403, 236743, 236770, 236828, 594, 7691, 236787, 2341, 928, 3396, 14120, 59990, 531, 9779, 6693, 236772, 3061, 33835, 101618, 43149, 1308, 6225, 63035, 827, 623, 236770, 236832, 236810, 236771, 236772, 236770, 236828, 236810, 236771, 236787, 756, 236799, 126984, 236789, 618, 83765, 14003, 121203, 756, 225340, 236789, 653, 756, 32449, 236789, 528, 5422, 23505, 531, 16451, 17792, 236772, 52728, 85447, 641, 803, 827, 623, 68480, 236743, 236770, 236819, 594, 7691, 236787, 2341, 928, 3396, 14120, 61085, 618, 756, 236763, 126984, 236789, 6775, 13336, 5143, 607, 506, 5028, 568, 2543, 35436, 756, 2919, 236785, 236756, 236770, 236744, 236812, 236819, 236746, 236785, 236756, 236770, 236744, 236812, 236819, 236789, 4323, 66777, 756, 2919, 236785, 236756, 236770, 236744, 236825, 1926, 213107, 623, 32899, 6933, 236787, 2341, 928, 3396, 1183, 103827, 1186, 528, 11858, 236786, 173576, 3316, 44187, 236764, 607, 5905, 6590, 29465, 531, 506, 5028, 14255, 623, 173576, 3316, 236779, 23184, 1083, 623, 818, 772, 928, 3396, 1183, 9282, 496, 8401, 1624, 529, 496, 34410, 568, 2235, 10316, 1331, 236768, 621, 236756, 236778, 236770, 236819, 236778, 34410, 568, 2235, 10316, 59398, 236768, 621, 236756, 236778, 236770, 236819, 236778, 83765, 52322, 22427, 236764, 607, 12352, 236786, 50771, 210350, 53561, 1800, 5028, 532, 59398, 47670, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 3582, 18844, 529, 822, 45755, 9338, 607, 623, 236763, 126984, 2098, 18024, 1800, 506, 31492, 5028, 529, 822, 44099, 18918, 532, 822, 60898, 236789, 236751, 50612, 15412, 1003, 1061, 772, 928, 3396, 4083, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 646, 1522, 85596, 568, 12862, 833, 10994, 658, 62902, 138, 107, 2205, 9937, 684, 808, 115094, 236779, 2305, 30237, 623, 236763, 126984, 236775, 815, 5213, 57375, 47670, 49035, 528, 6225, 39971, 6540, 66515, 138, 107, 236772, 5213, 818, 18041, 66515, 808, 236811, 37726, 2445, 860, 514, 25341, 30237, 31492, 528, 33837, 236786, 232885, 28968, 236764, 7489, 1547, 5213, 225053, 527, 568, 187973, 48197, 62902, 21508, 25038, 1061, 63382, 56669, 573, 5754, 236761, 138, 107, 236772, 5213, 818, 10994, 658, 66515, 562, 20034, 61617, 12569, 684, 6693, 151759, 528, 506, 236743, 236770, 236825, 236832, 236771, 236751, 236764, 5467, 7489, 1308, 506, 5213, 225053, 527, 1018, 1015, 30748, 3361, 15337, 236761, 138, 108, 1018, 3503, 98964, 66515, 10508, 47670, 15384, 699, 506, 1638, 3738, 237028, 1018, 2217, 699, 506, 5028, 16130, 15337, 125546, 840, 699, 5213, 1042, 98476, 568, 225053, 527, 236768, 16130, 5028, 1018, 568, 3350, 901, 21508, 236768, 5213, 624, 48197, 16130, 59398, 1018, 568, 14070, 901, 30748, 769, 1174, 15948, 3217, 80666, 236858, 236751, 19227, 20376, 5028, 532, 236743, 236770, 236828, 594, 236772, 33201, 623, 236763, 126984, 101618, 236775, 4024, 496, 1463, 236888, 108, 7243, 108, 10354, 5213, 236778, 236761, 2341, 928, 3396, 125145, 1018, 138, 107, 236829, 712, 236779, 106389, 31307, 236829, 10778, 5213, 236775, 236763, 126984, 236775, 176417, 618, 614, 83765, 1018, 528, 11858, 5422, 236787, 138, 107, 236772, 5213, 35482, 66515, 1787, 215955, 528, 5213, 1667, 199399, 2939, 1018, 568, 236744, 236761, 236759, 1126, 165996, 236763, 126984, 8334, 2098, 623, 236763, 126984, 61617, 147698, 769, 138, 107, 236772, 5213, 3637, 66515, 3314, 15622, 5213, 42377, 85382, 529, 6225, 63035, 1018, 568, 236744, 236761, 236759, 1126, 7123, 4673, 6503, 10221, 9922, 623, 236763, 126984, 97149, 236775, 618, 33835, 8785, 769, 138, 107, 236772, 5213, 6717, 66515, 4224, 5213, 1338, 97331, 1018, 237028, 30466, 5422, 6178, 623, 236763, 126984, 236775, 4180, 22525, 573, 506, 5028, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 2341, 38847, 236858, 236751, 154550, 50104, 1018, 138, 107, 236829, 553, 38847, 236779, 2305, 236829, 50070, 1217, 623, 236763, 126984, 236775, 28404, 618, 496, 48629, 236787, 138, 107, 236909, 42344, 146, 236909, 2341, 928, 3396, 6890, 167, 139, 236909, 32462, 17605, 162, 236909, 138, 107, 236909, 29118, 236909, 2819, 2819, 2819, 236909, 2819, 2819, 40673, 236909, 138, 107, 236909, 5213, 236770, 236825, 236832, 236771, 236751, 1018, 140, 236909, 646, 1522, 236787, 623, 236763, 126984, 236775, 578, 59398, 23143, 684, 6225, 36579, 1109, 6693, 36579, 44173, 2263, 15337, 138, 236909, 138, 107, 236909, 5213, 236770, 236832, 236770, 236778, 1018, 141, 236909, 5315, 83765, 236787, 165996, 236763, 126984, 38174, 147698, 568, 35487, 1588, 236764, 236743, 236770, 236832, 236770, 236778, 236768, 1109, 10994, 1230, 43149, 1308, 6225, 808, 225053, 527, 236829, 140, 236909, 138, 107, 236909, 5213, 236770, 236832, 236810, 236771, 236772, 236770, 236828, 236810, 236771, 1018, 236909, 43633, 14120, 236787, 165996, 236763, 126984, 61617, 2098, 623, 236763, 126984, 8334, 147698, 141, 236909, 27277, 529, 623, 716, 7082, 236775, 30434, 17634, 528, 3879, 138, 236909, 138, 107, 236909, 5213, 68480, 236743, 236770, 236828, 236771, 236771, 236751, 1018, 236909, 168374, 618, 623, 236763, 126984, 236775, 5452, 19240, 531, 506, 5213, 10750, 1018, 1109, 64794, 72441, 900, 59965, 3213, 142, 236909, 138, 108, 1018, 11355, 506, 53575, 236881, 1018, 138, 107, 2205, 7222, 33849, 2142, 29465, 699, 5754, 531, 190070, 236764, 623, 236763, 126984, 236775, 5213, 51735, 1061, 39971, 236772, 21903, 772, 928, 3396, 1161, 1018, 532, 5452, 6530, 531, 506, 5028, 237028, 236746, 113560, 10616, 531, 1217, 822, 20376, 236858, 236751, 19227, 5028, 1492, 11979, 618, 496, 55910, 5404, 529, 44099, 236858, 236751, 49035, 28968, 236764, 2793, 699, 1061, 38320, 236761, 108, 7243, 108, 10354, 5213, 2542, 5180, 22903, 16785, 6308, 1018, 138, 107, 3048, 2473, 4024, 672, 50232, 236787, 138, 107, 236813, 165996, 11896, 618, 506, 518, 126984, 5028, 236858, 236751, 19658, 14546, 7028, 531, 1183, 861, 105617, 236764, 506, 3658, 2141, 236763, 126984, 236858, 91637, 699, 48197, 568, 225053, 527, 236768, 1131, 1156, 47670, 237028, 59081, 1192, 5028, 532, 67302, 236858, 236751, 61617, 236761, 20043, 506, 83765, 2141, 236763, 126984, 236858, 815, 68418, 1133, 2255, 20376, 58775, 236764, 1061, 4083, 39706, 775, 1217, 5192, 236764, 1133, 9303, 236764, 33036, 532, 36803, 1651, 10264, 1061, 14546, 1781, 236829, 138, 108, 2094, 3925, 29830, 44066, 822, 1852, 9338, 237028, 2543, 44099, 236858, 236751, 62913, 154863, 531, 80666, 236858, 236751, 54447, 237028, 3350, 4171, 532, 28968, 7535, 3819, 52673, 236761, 236743, 247221, 240413, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 47113, 5737, 236764, 17673, 236761, 564, 236789, 560, 1010, 50629, 4776, 1003, 506, 518, 126984, 7146, 699, 1041, 18918, 528, 44099, 237028, 20890, 236789, 500, 834, 31492, 528, 1023, 28968, 236764, 607, 14546, 30272, 1133, 2523, 14558, 236761, 5393, 14074, 236764, 564, 5004, 886, 657, 1023, 80666, 20376, 54447, 568, 12009, 38011, 528, 672, 19227, 236764, 5889, 236789, 236745, 625, 78546, 532, 625, 1603, 786, 5601, 1003, 506, 3658, 4850, 236761, 1599, 1460, 236764, 1041, 60898, 6950, 600, 623, 236763, 126984, 236775, 691, 3622, 1456, 618, 614, 83765, 528, 2255, 5422, 23505, 236764, 1133, 22454, 15337, 23143, 684, 6225, 36579, 236761, 28344, 611, 1601, 786, 15819, 672, 9668, 236881, 5315, 236764, 1161, 600, 34410, 3927, 5904, 531, 1385, 872, 623, 236763, 126984, 236775, 618, 496, 34410, 237028, 82641, 786, 1061, 38320, 532, 1217, 625, 3588, 531, 2689, 1800, 496, 5028, 532, 496, 59398, 236761, 4298, 236764, 2426, 784, 77536, 6667, 607, 506, 784, 236779, 106389, 31307, 5904, 531, 9128, 768, 625, 9995, 5151, 618, 614, 83765, 236761, 808, 2859, 236829, 625, 1677, 237028, 624, 1186, 768, 237028, 1437, 1774, 2918, 1374, 577, 1699, 506, 83765, 3927, 5904, 580, 600, 3530, 83765, 1183, 531, 53144, 1217, 1061, 6590, 29465, 699, 22454, 7146, 531, 15337, 1024, 24744, 236761, 564, 236789, 236753, 2765, 531, 4024, 672, 607, 1041, 20376, 2748, 2299, 2148, 2069, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 236763, 126984, 827, 623, 90906, 1083, 78493, 1655, 236779, 1340, 236779, 67692, 1083, 623, 115094, 827, 623, 59603, 1083, 623, 236776, 2455, 5145, 5028, 568, 236811, 37726, 2445, 860, 514, 25341, 236768, 11363, 531, 4673, 236764, 17202, 684, 19658, 4007, 14546, 600, 2171, 1131, 10929, 105617, 236764, 18911, 12688, 740, 98148, 236761, 148207, 31492, 528, 33837, 532, 48180, 28968, 10498, 623, 8358, 236779, 54554, 1083, 623, 818, 9744, 60953, 21508, 1208, 506, 12440, 518, 126984, 5028, 573, 506, 14919, 17620, 221476, 3714, 1655, 236779, 1340, 236779, 67692, 1083, 623, 115094, 827, 623, 59603, 1083, 623, 236776, 20034, 236772, 50742, 59398, 72139, 496, 126040, 236764, 41063, 23143, 684, 6225, 48197, 568, 225053, 527, 236768, 1913, 506, 33849, 6933, 236764, 3209, 12569, 618, 33835, 10063, 66444, 528, 506, 236743, 236770, 236828, 594, 236785, 236756, 236778, 236771, 236770, 236800, 236770, 236819, 594, 24744, 10498, 623, 8358, 236779, 54554, 1083, 623, 818, 65637, 117866, 13571, 1651, 9922, 496, 14538, 518, 126984, 532, 77084, 528, 914, 2748, 1781, 104960, 623, 536, 176588, 1083, 623, 4663, 18642, 756, 236763, 126984, 236789, 8718, 236756, 236771, 236819, 236778, 236755, 236785, 236756, 236771, 236819, 236778, 236828, 236785, 236756, 236771, 236819, 236800, 236760, 236785, 236756, 236771, 236819, 236778, 236760, 236785, 236756, 236771, 236819, 236800, 236744, 236785, 236756, 236771, 236819, 236778, 236828, 779, 11233, 699, 756, 6983, 722, 236789, 568, 74392, 779, 90506, 6225, 36579, 1015, 30748, 506, 59398, 236761, 669, 5028, 236789, 236751, 1463, 90851, 699, 506, 1638, 5989, 2779, 531, 1061, 12428, 607, 39971, 8904, 22658, 25038, 1061, 23791, 10498, 623, 124977, 236779, 23184, 1083, 623, 818, 59398, 5113, 25091, 528, 5422, 684, 236743, 236770, 236825, 236832, 236771, 236751, 236764, 1651, 506, 5028, 5113, 691, 9941, 684, 236743, 236770, 236825, 236819, 236771, 236751, 236761, 154550, 8633, 10997, 618, 6693, 39393, 5143, 1800, 506, 5028, 236789, 236751, 25581, 14546, 532, 506, 48197, 236789, 20034, 101618, 607, 63382, 236764, 74647, 3797, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 236763, 126984, 827, 623, 106389, 25860, 236779, 20251, 1083, 78493, 845, 1083, 623, 236763, 126984, 827, 623, 1655, 236779, 1340, 236779, 67692, 1083, 623, 115094, 827, 623, 26514, 236779, 36898, 1083, 11058, 818, 518, 126984, 5028, 236789, 236751, 19658, 14546, 8254, 496, 3756, 21450, 2557, 10498, 623, 79796, 23505, 9779, 31492, 154863, 529, 518, 126984, 528, 44099, 62192, 623, 173576, 3316, 236779, 55558, 1083, 11058, 38331, 1153, 236772, 8960, 1527, 34410, 827, 623, 125163, 34410, 1056, 90506, 633, 37726, 2445, 860, 514, 25341, 14255, 623, 124977, 236779, 23184, 1083, 623, 235475, 524, 699, 18642, 756, 236763, 126984, 236789, 8718, 236756, 236771, 236819, 236800, 236810, 236785, 236756, 236771, 236819, 236770, 236760, 621, 236756, 236771, 236819, 236800, 236810, 236785, 236756, 236771, 236819, 236812, 236800, 236785, 236756, 236771, 236819, 236770, 236810, 236785, 236756, 236771, 236819, 236812, 236753, 236785, 236756, 236771, 236819, 236800, 236832, 236768, 4323, 148430, 756, 236766, 236785, 236756, 236771, 236770, 236771, 236770, 3598, 236762, 236785, 236756, 236771, 236770, 236771, 236770, 236749, 963, 13320, 94684, 33837, 48197, 1015, 10057, 5754, 1208, 1239, 7146, 23179, 3714, 845, 1083, 623, 236763, 126984, 827, 623, 1655, 236779, 1340, 236779, 67692, 1083, 623, 553, 38847, 827, 623, 26514, 236779, 36898, 1083, 11058, 1980, 72322, 8735, 4928, 756, 236763, 126984, 33574, 236789, 23143, 684, 7123, 4673, 6503, 10221, 827, 623, 818, 14871, 15205, 614, 236743, 236770, 236828, 594, 236772, 33201, 518, 126984, 61617, 607, 174238, 58775, 14255, 623, 173576, 3316, 236779, 55558, 1083, 11058, 5466, 199399, 2939, 1186, 827, 623, 2023, 4936, 525, 528, 4532, 5422, 14255, 623, 124977, 236779, 23184, 1083, 623, 128447, 8633, 10997, 505, 236761, 236743, 236770, 236825, 236832, 236771, 236751, 1056, 6693, 36579, 1456, 756, 236763, 126984, 236789, 772, 928, 648, 1154, 531, 9779, 63035, 23143, 684, 6225, 48197, 568, 236763, 1309, 743, 779, 3209, 24783, 531, 20034, 236772, 50742, 15337, 25938, 1604, 623, 536, 1177, 3535, 236779, 15516, 1083, 623, 4036, 928, 3396, 14120, 5467, 80820, 699, 506, 34410, 756, 236763, 126984, 236789, 568, 74392, 236768, 621, 236756, 236778, 236770, 236819, 236778, 756, 236763, 126984, 59398, 236789, 621, 236756, 236778, 236770, 236819, 236778, 61861, 83765, 236761, 2301, 1982, 5028, 236772, 1071, 236772, 191055, 52322, 3205, 236793, 51083, 1343, 9226, 12428, 607, 36579, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3017, 1083, 623, 236763, 126984, 827, 623, 536, 1177, 3535, 236779, 6306, 1083, 623, 182790, 699, 756, 48814, 1037, 236789, 568, 236770, 236825, 594, 236772, 33201, 5422, 1941, 573, 33837, 48197, 529, 506, 603, 10096, 70930, 528, 10063, 4673, 236764, 699, 148430, 756, 236766, 236785, 236756, 236771, 236770, 236771, 236770, 236785, 236756, 236770, 236744, 236812, 236832, 47744, 213107, 623, 803, 24573, 236779, 100443, 236779, 553, 928, 3396, 236779, 26514, 1083, 623, 236770, 236832, 236770, 236778, 528, 3415, 83204, 236789, 236751, 756, 4199, 87214, 531, 14277, 2632, 756, 151977, 496, 603, 126984, 667, 931, 75334, 623, 108414, 236779, 28964, 1083, 11058, 236770, 236825, 236832, 236771, 236751, 236787, 646, 1522, 756, 236763, 126984, 236789, 1171, 17230, 531, 506, 20034, 59398, 23143, 684, 6225, 36579, 827, 623, 39403, 236743, 236770, 236828, 594, 7691, 236787, 2341, 928, 3396, 14120, 59990, 531, 9779, 6693, 236772, 3061, 33835, 101618, 43149, 1308, 6225, 63035, 827, 623, 236770, 236832, 236810, 236771, 236772, 236770, 236828, 236810, 236771, 236787, 756, 236799, 126984, 236789, 618, 83765, 14003, 121203, 756, 225340, 236789, 653, 756, 32449, 236789, 528, 5422, 23505, 531, 16451, 17792, 236772, 52728, 85447, 641, 803, 827, 623, 68480, 236743, 236770, 236819, 594, 7691, 236787, 2341, 928, 3396, 14120, 61085, 618, 756, 236763, 126984, 236789, 6775, 13336, 5143, 607, 506, 5028, 568, 2543, 35436, 756, 2919, 236785, 236756, 236770, 236744, 236812, 236819, 236746, 236785, 236756, 236770, 236744, 236812, 236819, 236789, 4323, 66777, 756, 2919, 236785, 236756, 236770, 236744, 236825, 1926, 213107, 623, 32899, 6933, 236787, 2341, 928, 3396, 1183, 103827, 1186, 528, 11858, 236786, 173576, 3316, 44187, 236764, 607, 5905, 6590, 29465, 531, 506, 5028, 14255, 623, 173576, 3316, 236779, 23184, 1083, 623, 818, 772, 928, 3396, 1183, 9282, 496, 8401, 1624, 529, 496, 34410, 568, 2235, 10316, 1331, 236768, 621, 236756, 236778, 236770, 236819, 236778, 34410, 568, 2235, 10316, 59398, 236768, 621, 236756, 236778, 236770, 236819, 236778, 83765, 52322, 22427, 236764, 607, 12352, 236786, 50771, 210350, 53561, 1800, 5028, 532, 59398, 47670, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 3582, 18844, 529, 822, 45755, 9338, 607, 623, 236763, 126984, 2098, 18024, 1800, 506, 31492, 5028, 529, 822, 44099, 18918, 532, 822, 60898, 236789, 236751, 50612, 15412, 1003, 1061, 772, 928, 3396, 4083, 236787, 108, 7243, 108, 10354, 5213, 236770, 236761, 646, 1522, 85596, 568, 12862, 833, 10994, 658, 62902, 138, 107, 2205, 9937, 684, 808, 115094, 236779, 2305, 30237, 623, 236763, 126984, 236775, 815, 5213, 57375, 47670, 49035, 528, 6225, 39971, 6540, 66515, 138, 107, 236772, 5213, 818, 18041, 66515, 808, 236811, 37726, 2445, 860, 514, 25341, 30237, 31492, 528, 33837, 236786, 232885, 28968, 236764, 7489, 1547, 5213, 225053, 527, 568, 187973, 48197, 62902, 21508, 25038, 1061, 63382, 56669, 573, 5754, 236761, 138, 107, 236772, 5213, 818, 10994, 658, 66515, 562, 20034, 61617, 12569, 684, 6693, 151759, 528, 506, 236743, 236770, 236825, 236832, 236771, 236751, 236764, 5467, 7489, 1308, 506, 5213, 225053, 527, 1018, 1015, 30748, 3361, 15337, 236761, 138, 108, 1018, 3503, 98964, 66515, 10508, 47670, 15384, 699, 506, 1638, 3738, 237028, 1018, 2217, 699, 506, 5028, 16130, 15337, 125546, 840, 699, 5213, 1042, 98476, 568, 225053, 527, 236768, 16130, 5028, 1018, 568, 3350, 901, 21508, 236768, 5213, 624, 48197, 16130, 59398, 1018, 568, 14070, 901, 30748, 769, 1174, 15948, 3217, 80666, 236858, 236751, 19227, 20376, 5028, 532, 236743, 236770, 236828, 594, 236772, 33201, 623, 236763, 126984, 101618, 236775, 4024, 496, 1463, 236888, 108, 7243, 108, 10354, 5213, 236778, 236761, 2341, 928, 3396, 125145, 1018, 138, 107, 236829, 712, 236779, 106389, 31307, 236829, 10778, 5213, 236775, 236763, 126984, 236775, 176417, 618, 614, 83765, 1018, 528, 11858, 5422, 236787, 138, 107, 236772, 5213, 35482, 66515, 1787, 215955, 528, 5213, 1667, 199399, 2939, 1018, 568, 236744, 236761, 236759, 1126, 165996, 236763, 126984, 8334, 2098, 623, 236763, 126984, 61617, 147698, 769, 138, 107, 236772, 5213, 3637, 66515, 3314, 15622, 5213, 42377, 85382, 529, 6225, 63035, 1018, 568, 236744, 236761, 236759, 1126, 7123, 4673, 6503, 10221, 9922, 623, 236763, 126984, 97149, 236775, 618, 33835, 8785, 769, 138, 107, 236772, 5213, 6717, 66515, 4224, 5213, 1338, 97331, 1018, 237028, 30466, 5422, 6178, 623, 236763, 126984, 236775, 4180, 22525, 573, 506, 5028, 236761, 138, 108, 7243, 108, 10354, 5213, 236800, 236761, 2341, 38847, 236858, 236751, 154550, 50104, 1018, 138, 107, 236829, 553, 38847, 236779, 2305, 236829, 50070, 1217, 623, 236763, 126984, 236775, 28404, 618, 496, 48629, 236787, 138, 107, 236909, 42344, 146, 236909, 2341, 928, 3396, 6890, 167, 139, 236909, 32462, 17605, 162, 236909, 138, 107, 236909, 29118, 236909, 2819, 2819, 2819, 236909, 2819, 2819, 40673, 236909, 138, 107, 236909, 5213, 236770, 236825, 236832, 236771, 236751, 1018, 140, 236909, 646, 1522, 236787, 623, 236763, 126984, 236775, 578, 59398, 23143, 684, 6225, 36579, 1109, 6693, 36579, 44173, 2263, 15337, 138, 236909, 138, 107, 236909, 5213, 236770, 236832, 236770, 236778, 1018, 141, 236909, 5315, 83765, 236787, 165996, 236763, 126984, 38174, 147698, 568, 35487, 1588, 236764, 236743, 236770, 236832, 236770, 236778, 236768, 1109, 10994, 1230, 43149, 1308, 6225, 808, 225053, 527, 236829, 140, 236909, 138, 107, 236909, 5213, 236770, 236832, 236810, 236771, 236772, 236770, 236828, 236810, 236771, 1018, 236909, 43633, 14120, 236787, 165996, 236763, 126984, 61617, 2098, 623, 236763, 126984, 8334, 147698, 141, 236909, 27277, 529, 623, 716, 7082, 236775, 30434, 17634, 528, 3879, 138, 236909, 138, 107, 236909, 5213, 68480, 236743, 236770, 236828, 236771, 236771, 236751, 1018, 236909, 168374, 618, 623, 236763, 126984, 236775, 5452, 19240, 531, 506, 5213, 10750, 1018, 1109, 64794, 72441, 900, 59965, 3213, 142, 236909, 138, 108, 1018, 11355, 506, 53575, 236881, 1018, 138, 107, 2205, 7222, 33849, 2142, 29465, 699, 5754, 531, 190070, 236764, 623, 236763, 126984, 236775, 5213, 51735, 1061, 39971, 236772, 21903, 772, 928, 3396, 1161, 1018, 532, 5452, 6530, 531, 506, 5028, 237028, 236746, 113560, 10616, 531, 1217, 822, 20376, 236858, 236751, 19227, 5028, 1492, 11979, 618, 496, 55910, 5404, 529, 44099, 236858, 236751, 49035, 28968, 236764, 2793, 699, 1061, 38320, 236761, 108, 7243, 108, 10354, 5213, 2542, 5180, 22903, 16785, 6308, 1018, 138, 107, 3048, 2473, 4024, 672, 50232, 236787, 138, 107, 236813, 165996, 11896, 618, 506, 518, 126984, 5028, 236858, 236751, 19658, 14546, 7028, 531, 1183, 861, 105617, 236764, 506, 3658, 2141, 236763, 126984, 236858, 91637, 699, 48197, 568, 225053, 527, 236768, 1131, 1156, 47670, 237028, 59081, 1192, 5028, 532, 67302, 236858, 236751, 61617, 236761, 20043, 506, 83765, 2141, 236763, 126984, 236858, 815, 68418, 1133, 2255, 20376, 58775, 236764, 1061, 4083, 39706, 775, 1217, 5192, 236764, 1133, 9303, 236764, 33036, 532, 36803, 1651, 10264, 1061, 14546, 1781, 236829, 138, 108, 2094, 3925, 29830, 44066, 822, 1852, 9338, 237028, 2543, 44099, 236858, 236751, 62913, 154863, 531, 80666, 236858, 236751, 54447, 237028, 3350, 4171, 532, 28968, 7535, 3819, 52673, 236761, 236743, 247221, 240413, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 66295, 531, 2212, 528, 607, 506, 15345, 756, 57299, 236789, 532, 8918, 756, 20888, 6748, 18741, 236764, 974, 10595, 573, 506, 1698, 607, 756, 71386, 236779, 1020, 236756, 236789, 618, 756, 236757, 236778, 236778, 236771, 236778, 236778, 236828, 236810, 236812, 236828, 236812, 236770, 6748, 106, 107, 105, 4368, 107, 236777, 3914, 6361, 607, 19346, 528, 653, 67931, 1698, 10595, 618, 993, 659, 951, 2487, 6436, 3847, 573, 1239, 9395, 236761, 669, 1186, 2487, 5904, 20442, 828, 236779, 38557, 236779, 5930, 236779, 13308, 18833, 165522, 1698, 4889, 684, 5853, 236764, 711, 10595, 236764, 532, 993, 563, 951, 1292, 573, 31324, 236761, 7323, 16807, 768, 4767, 6436, 659, 2487, 653, 37386, 822, 2864, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 66295, 531, 2212, 528, 607, 506, 15345, 756, 57299, 236789, 532, 8918, 756, 20888, 6748, 18741, 236764, 974, 10595, 573, 506, 1698, 607, 756, 71386, 236779, 1020, 236756, 236789, 618, 756, 236757, 236778, 236778, 236771, 236778, 236778, 236828, 236810, 236812, 236828, 236812, 236770, 6748, 106, 107, 105, 4368, 107, 236777, 3914, 6361, 607, 19346, 528, 653, 67931, 1698, 10595, 618, 993, 659, 951, 2487, 6436, 3847, 573, 1239, 9395, 236761, 669, 1186, 2487, 5904, 20442, 828, 236779, 38557, 236779, 5930, 236779, 13308, 18833, 165522, 1698, 4889, 684, 5853, 236764, 711, 10595, 236764, 532, 993, 563, 951, 1292, 573, 31324, 236761, 7323, 16807, 768, 4767, 6436, 659, 2487, 653, 37386, 822, 2864, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 12270, 1938, 1003, 496, 2953, 7102, 236881, 564, 236789, 236757, 23210, 1003, 1061, 20673, 236761, 106, 107, 105, 4368, 107, 2021, 12270, 506, 1938, 1003, 506, 8582, 7102, 236764, 564, 236789, 859, 1202, 506, 3530, 5213, 12027, 5853, 84750, 28344, 611, 2847, 506, 5853, 529, 506, 7102, 611, 236789, 500, 7467, 528, 236881, 1174, 795, 2174, 786, 531, 33205, 1061, 20673, 532, 4889, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 12270, 1938, 1003, 496, 2953, 7102, 236881, 564, 236789, 236757, 23210, 1003, 1061, 20673, 236761, 106, 107, 105, 4368, 107, 2021, 12270, 506, 1938, 1003, 506, 8582, 7102, 236764, 564, 236789, 859, 1202, 506, 3530, 5213, 12027, 5853, 84750, 28344, 611, 2847, 506, 5853, 529, 506, 7102, 611, 236789, 500, 7467, 528, 236881, 1174, 795, 2174, 786, 531, 33205, 1061, 20673, 532, 4889, 573, 611, 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, 6590, 531, 2426, 1041, 143896, 3124, 840, 14995, 564, 236789, 236757, 711, 11716, 2889, 837, 67961, 1519, 17671, 531, 1041, 12089, 236761, 564, 691, 8132, 580, 6198, 236743, 236770, 236810, 594, 236761, 28344, 611, 1171, 2847, 496, 1694, 529, 67961, 11005, 607, 910, 3433, 21280, 531, 1601, 786, 8701, 10701, 236881, 9920, 564, 735, 600, 236764, 564, 236789, 236753, 1133, 506, 6376, 143896, 17046, 573, 1041, 1519, 236761, 564, 2462, 1586, 625, 27858, 1217, 101952, 740, 8913, 607, 1041, 10299, 9871, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 193319, 1083, 78493, 1201, 1083, 623, 236776, 2302, 827, 623, 1896, 236779, 8572, 1083, 623, 27393, 236743, 236778, 236770, 753, 5365, 236743, 236770, 236819, 827, 623, 7011, 1083, 623, 19382, 827, 623, 173831, 1083, 11058, 169685, 109708, 827, 623, 57054, 676, 806, 827, 623, 23790, 70726, 14255, 623, 102229, 1083, 11058, 113747, 827, 623, 149662, 136455, 152254, 3714, 1201, 1083, 623, 236774, 39824, 827, 623, 1896, 236779, 8572, 1083, 623, 30651, 236743, 236778, 236771, 753, 3353, 236743, 236778, 236771, 827, 623, 7011, 1083, 623, 52858, 827, 623, 173831, 1083, 11058, 112239, 742, 827, 623, 52420, 827, 623, 94786, 11811, 14255, 623, 102229, 1083, 11058, 43059, 1909, 827, 623, 230038, 152254, 3714, 1201, 1083, 623, 77683, 2818, 827, 623, 1896, 236779, 8572, 1083, 623, 12055, 236743, 236778, 236770, 753, 5142, 236743, 236778, 236771, 827, 623, 7011, 1083, 623, 17995, 827, 623, 173831, 1083, 11058, 15413, 1434, 827, 623, 62554, 742, 827, 623, 2704, 1050, 139804, 14255, 623, 102229, 1083, 11058, 220615, 827, 623, 62887, 37671, 152254, 3714, 1201, 1083, 623, 97195, 827, 623, 1896, 236779, 8572, 1083, 623, 27403, 236743, 236778, 236770, 753, 5505, 236743, 236778, 236778, 827, 623, 7011, 1083, 623, 17390, 827, 623, 173831, 1083, 11058, 219699, 827, 623, 235456, 2407, 827, 623, 25151, 32032, 14255, 623, 102229, 1083, 11058, 3900, 108519, 827, 623, 154826, 1426, 152254, 3714, 1201, 1083, 623, 113747, 827, 623, 1896, 236779, 8572, 1083, 623, 30211, 236743, 236778, 236800, 753, 5729, 236743, 236778, 236778, 827, 623, 7011, 1083, 623, 19382, 827, 623, 173831, 1083, 11058, 146097, 827, 623, 5820, 69185, 827, 623, 189521, 14255, 623, 102229, 1083, 11058, 236776, 2302, 827, 623, 149662, 136455, 152254, 3714, 1201, 1083, 623, 43059, 1909, 827, 623, 1896, 236779, 8572, 1083, 623, 30902, 236743, 236778, 236800, 753, 5857, 236743, 236778, 236778, 827, 623, 7011, 1083, 623, 52858, 827, 623, 173831, 1083, 11058, 213998, 827, 623, 121435, 827, 623, 5141, 9260, 617, 14255, 623, 102229, 1083, 11058, 236774, 39824, 827, 623, 230038, 152254, 3714, 1201, 1083, 623, 220615, 827, 623, 1896, 236779, 8572, 1083, 623, 36022, 236743, 236778, 236800, 753, 6198, 236743, 236778, 236778, 827, 623, 7011, 1083, 623, 17995, 827, 623, 173831, 1083, 11058, 115455, 15471, 827, 623, 62622, 236772, 42243, 827, 623, 2704, 1050, 139804, 14255, 623, 102229, 1083, 11058, 77683, 2818, 827, 623, 62887, 37671, 152254, 3714, 1201, 1083, 623, 3900, 108519, 827, 623, 1896, 236779, 8572, 1083, 623, 36817, 236743, 236778, 236800, 753, 6243, 236743, 236778, 236770, 827, 623, 7011, 1083, 623, 17390, 827, 623, 173831, 1083, 11058, 8653, 84242, 827, 623, 10730, 1275, 827, 623, 18109, 35273, 14255, 623, 102229, 1083, 11058, 97195, 827, 623, 154826, 1426, 152254, 3714, 1201, 1083, 623, 149662, 136455, 827, 623, 1896, 236779, 8572, 1083, 623, 36956, 236743, 236778, 236778, 753, 6384, 236743, 236778, 236770, 827, 623, 7011, 1083, 623, 19382, 827, 623, 173831, 1083, 11058, 230313, 61545, 827, 623, 46561, 3316, 827, 623, 1514, 25641, 14255, 623, 102229, 1083, 11058, 236776, 2302, 827, 623, 113747, 152254, 3714, 1201, 1083, 623, 230038, 827, 623, 1896, 236779, 8572, 1083, 623, 36471, 236743, 236778, 236778, 753, 6027, 236743, 236770, 236819, 827, 623, 7011, 1083, 623, 52858, 827, 623, 173831, 1083, 11058, 151460, 1718, 827, 623, 6700, 3896, 1434, 827, 623, 236791, 634, 548, 3316, 14255, 623, 102229, 1083, 11058, 236774, 39824, 827, 623, 43059, 1909, 152254, 3714, 1201, 1083, 623, 62887, 37671, 827, 623, 1896, 236779, 8572, 1083, 623, 36302, 236743, 236778, 236771, 753, 7250, 236743, 236770, 236828, 827, 623, 7011, 1083, 623, 17995, 827, 623, 173831, 1083, 11058, 233660, 827, 623, 81226, 827, 623, 2805, 12346, 742, 14255, 623, 102229, 1083, 11058, 77683, 2818, 827, 623, 220615, 152254, 3714, 1201, 1083, 623, 154826, 1426, 827, 623, 1896, 236779, 8572, 1083, 623, 37207, 236743, 236770, 236819, 753, 5261, 236743, 236778, 236771, 827, 623, 7011, 1083, 623, 17390, 827, 623, 173831, 1083, 11058, 168154, 84242, 827, 623, 75455, 827, 623, 43230, 670, 617, 14255, 623, 102229, 1083, 11058, 97195, 827, 623, 3900, 108519, 1935, 165075, 106, 107, 105, 4368, 107, 22515, 580, 822, 12089, 568, 36817, 236743, 236770, 236810, 594, 779, 611, 3798, 1208, 506, 67961, 1519, 5213, 220615, 1018, 568, 36022, 236743, 236778, 236800, 753, 6198, 236743, 236778, 236778, 769, 2282, 33205, 822, 6376, 143896, 17046, 236764, 564, 236789, 859, 1202, 822, 1463, 236761, 28344, 611, 5091, 4024, 822, 1463, 607, 786, 236881, 1174, 795, 2174, 786, 531, 12270, 822, 28233, 143896, 32769, 607, 822, 10299, 9871, 236888, 106, 107, 105, 2364, 107, 4088, 3003, 236888, 3551, 1463, 563, 46021, 236761, 564, 236858, 236757, 23210, 531, 1460, 1217, 506, 8197, 8913, 607, 1041, 1719, 237028, 38279, 607, 3724, 236772, 28734, 36295, 4891, 872, 672, 2069, 236761, 3792, 236858, 236751, 1460, 1144, 107355, 236858, 236751, 143896, 3189, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236802, 89649, 236779, 8478, 1083, 623, 220615, 827, 623, 1896, 236779, 8572, 1083, 623, 36022, 236743, 236778, 236800, 753, 6198, 236743, 236778, 236778, 827, 623, 32320, 236779, 49611, 1083, 623, 17076, 12076, 87969, 2778, 236764, 46021, 236761, 5180, 3756, 47379, 6130, 795, 29369, 528, 1800, 3577, 532, 5707, 12969, 236761, 562, 10299, 236772, 10619, 8319, 1149, 1861, 4850, 236764, 840, 822, 20433, 11521, 795, 2490, 625, 1131, 496, 41992, 4735, 2707, 573, 784, 5418, 10498, 623, 7011, 1083, 623, 17995, 827, 623, 70424, 236779, 34488, 1083, 870, 236770, 236812, 236764, 236743, 236778, 236778, 236764, 236743, 236800, 236832, 1604, 623, 110444, 1083, 623, 55006, 822, 52097, 1056, 3043, 9886, 3124, 753, 506, 17748, 563, 120022, 531, 1894, 822, 12524, 83638, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 143896, 17046, 573, 3124, 236764, 46021, 568, 220615, 753, 5857, 236743, 236778, 236800, 753, 6198, 236743, 236778, 236778, 1473, 108, 242507, 5213, 42362, 76790, 66515, 138, 107, 236775, 17076, 12076, 87969, 2778, 236888, 5180, 3756, 47379, 6130, 795, 29369, 528, 1800, 3577, 532, 5707, 12969, 236761, 562, 10299, 236772, 10619, 8319, 1149, 1861, 4850, 236764, 840, 822, 20433, 11521, 795, 2490, 625, 1131, 496, 41992, 4735, 2707, 573, 784, 5418, 1781, 108, 239794, 5213, 3113, 66515, 5661, 568, 157484, 822, 7283, 532, 2608, 236772, 73260, 22234, 236768, 138, 107, 254295, 5213, 140929, 49477, 66515, 236743, 236770, 236812, 236764, 236743, 236778, 236778, 236764, 236743, 236800, 236832, 138, 107, 248127, 5213, 106644, 66515, 623, 55006, 822, 52097, 1056, 3043, 9886, 3124, 753, 506, 17748, 563, 120022, 531, 1894, 822, 12524, 83638, 1781, 108, 3497, 107355, 236789, 236751, 66232, 5596, 531, 102905, 532, 1586, 7002, 236764, 822, 3724, 236772, 28734, 36295, 672, 2069, 659, 4547, 531, 7458, 699, 3124, 236789, 236751, 42787, 25000, 236761, 3792, 822, 3756, 59542, 532, 58203, 8214, 1239, 23695, 236888, 236743, 244876, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 1010, 6590, 531, 2426, 1041, 143896, 3124, 840, 14995, 564, 236789, 236757, 711, 11716, 2889, 837, 67961, 1519, 17671, 531, 1041, 12089, 236761, 564, 691, 8132, 580, 6198, 236743, 236770, 236810, 594, 236761, 28344, 611, 1171, 2847, 496, 1694, 529, 67961, 11005, 607, 910, 3433, 21280, 531, 1601, 786, 8701, 10701, 236881, 9920, 564, 735, 600, 236764, 564, 236789, 236753, 1133, 506, 6376, 143896, 17046, 573, 1041, 1519, 236761, 564, 2462, 1586, 625, 27858, 1217, 101952, 740, 8913, 607, 1041, 10299, 9871, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 193319, 1083, 78493, 1201, 1083, 623, 236776, 2302, 827, 623, 1896, 236779, 8572, 1083, 623, 27393, 236743, 236778, 236770, 753, 5365, 236743, 236770, 236819, 827, 623, 7011, 1083, 623, 19382, 827, 623, 173831, 1083, 11058, 169685, 109708, 827, 623, 57054, 676, 806, 827, 623, 23790, 70726, 14255, 623, 102229, 1083, 11058, 113747, 827, 623, 149662, 136455, 152254, 3714, 1201, 1083, 623, 236774, 39824, 827, 623, 1896, 236779, 8572, 1083, 623, 30651, 236743, 236778, 236771, 753, 3353, 236743, 236778, 236771, 827, 623, 7011, 1083, 623, 52858, 827, 623, 173831, 1083, 11058, 112239, 742, 827, 623, 52420, 827, 623, 94786, 11811, 14255, 623, 102229, 1083, 11058, 43059, 1909, 827, 623, 230038, 152254, 3714, 1201, 1083, 623, 77683, 2818, 827, 623, 1896, 236779, 8572, 1083, 623, 12055, 236743, 236778, 236770, 753, 5142, 236743, 236778, 236771, 827, 623, 7011, 1083, 623, 17995, 827, 623, 173831, 1083, 11058, 15413, 1434, 827, 623, 62554, 742, 827, 623, 2704, 1050, 139804, 14255, 623, 102229, 1083, 11058, 220615, 827, 623, 62887, 37671, 152254, 3714, 1201, 1083, 623, 97195, 827, 623, 1896, 236779, 8572, 1083, 623, 27403, 236743, 236778, 236770, 753, 5505, 236743, 236778, 236778, 827, 623, 7011, 1083, 623, 17390, 827, 623, 173831, 1083, 11058, 219699, 827, 623, 235456, 2407, 827, 623, 25151, 32032, 14255, 623, 102229, 1083, 11058, 3900, 108519, 827, 623, 154826, 1426, 152254, 3714, 1201, 1083, 623, 113747, 827, 623, 1896, 236779, 8572, 1083, 623, 30211, 236743, 236778, 236800, 753, 5729, 236743, 236778, 236778, 827, 623, 7011, 1083, 623, 19382, 827, 623, 173831, 1083, 11058, 146097, 827, 623, 5820, 69185, 827, 623, 189521, 14255, 623, 102229, 1083, 11058, 236776, 2302, 827, 623, 149662, 136455, 152254, 3714, 1201, 1083, 623, 43059, 1909, 827, 623, 1896, 236779, 8572, 1083, 623, 30902, 236743, 236778, 236800, 753, 5857, 236743, 236778, 236778, 827, 623, 7011, 1083, 623, 52858, 827, 623, 173831, 1083, 11058, 213998, 827, 623, 121435, 827, 623, 5141, 9260, 617, 14255, 623, 102229, 1083, 11058, 236774, 39824, 827, 623, 230038, 152254, 3714, 1201, 1083, 623, 220615, 827, 623, 1896, 236779, 8572, 1083, 623, 36022, 236743, 236778, 236800, 753, 6198, 236743, 236778, 236778, 827, 623, 7011, 1083, 623, 17995, 827, 623, 173831, 1083, 11058, 115455, 15471, 827, 623, 62622, 236772, 42243, 827, 623, 2704, 1050, 139804, 14255, 623, 102229, 1083, 11058, 77683, 2818, 827, 623, 62887, 37671, 152254, 3714, 1201, 1083, 623, 3900, 108519, 827, 623, 1896, 236779, 8572, 1083, 623, 36817, 236743, 236778, 236800, 753, 6243, 236743, 236778, 236770, 827, 623, 7011, 1083, 623, 17390, 827, 623, 173831, 1083, 11058, 8653, 84242, 827, 623, 10730, 1275, 827, 623, 18109, 35273, 14255, 623, 102229, 1083, 11058, 97195, 827, 623, 154826, 1426, 152254, 3714, 1201, 1083, 623, 149662, 136455, 827, 623, 1896, 236779, 8572, 1083, 623, 36956, 236743, 236778, 236778, 753, 6384, 236743, 236778, 236770, 827, 623, 7011, 1083, 623, 19382, 827, 623, 173831, 1083, 11058, 230313, 61545, 827, 623, 46561, 3316, 827, 623, 1514, 25641, 14255, 623, 102229, 1083, 11058, 236776, 2302, 827, 623, 113747, 152254, 3714, 1201, 1083, 623, 230038, 827, 623, 1896, 236779, 8572, 1083, 623, 36471, 236743, 236778, 236778, 753, 6027, 236743, 236770, 236819, 827, 623, 7011, 1083, 623, 52858, 827, 623, 173831, 1083, 11058, 151460, 1718, 827, 623, 6700, 3896, 1434, 827, 623, 236791, 634, 548, 3316, 14255, 623, 102229, 1083, 11058, 236774, 39824, 827, 623, 43059, 1909, 152254, 3714, 1201, 1083, 623, 62887, 37671, 827, 623, 1896, 236779, 8572, 1083, 623, 36302, 236743, 236778, 236771, 753, 7250, 236743, 236770, 236828, 827, 623, 7011, 1083, 623, 17995, 827, 623, 173831, 1083, 11058, 233660, 827, 623, 81226, 827, 623, 2805, 12346, 742, 14255, 623, 102229, 1083, 11058, 77683, 2818, 827, 623, 220615, 152254, 3714, 1201, 1083, 623, 154826, 1426, 827, 623, 1896, 236779, 8572, 1083, 623, 37207, 236743, 236770, 236819, 753, 5261, 236743, 236778, 236771, 827, 623, 7011, 1083, 623, 17390, 827, 623, 173831, 1083, 11058, 168154, 84242, 827, 623, 75455, 827, 623, 43230, 670, 617, 14255, 623, 102229, 1083, 11058, 97195, 827, 623, 3900, 108519, 1935, 165075, 106, 107, 105, 4368, 107, 22515, 580, 822, 12089, 568, 36817, 236743, 236770, 236810, 594, 779, 611, 3798, 1208, 506, 67961, 1519, 5213, 220615, 1018, 568, 36022, 236743, 236778, 236800, 753, 6198, 236743, 236778, 236778, 769, 2282, 33205, 822, 6376, 143896, 17046, 236764, 564, 236789, 859, 1202, 822, 1463, 236761, 28344, 611, 5091, 4024, 822, 1463, 607, 786, 236881, 1174, 795, 2174, 786, 531, 12270, 822, 28233, 143896, 32769, 607, 822, 10299, 9871, 236888, 106, 107, 105, 2364, 107, 4088, 3003, 236888, 3551, 1463, 563, 46021, 236761, 564, 236858, 236757, 23210, 531, 1460, 1217, 506, 8197, 8913, 607, 1041, 1719, 237028, 38279, 607, 3724, 236772, 28734, 36295, 4891, 872, 672, 2069, 236761, 3792, 236858, 236751, 1460, 1144, 107355, 236858, 236751, 143896, 3189, 236888, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 236802, 89649, 236779, 8478, 1083, 623, 220615, 827, 623, 1896, 236779, 8572, 1083, 623, 36022, 236743, 236778, 236800, 753, 6198, 236743, 236778, 236778, 827, 623, 32320, 236779, 49611, 1083, 623, 17076, 12076, 87969, 2778, 236764, 46021, 236761, 5180, 3756, 47379, 6130, 795, 29369, 528, 1800, 3577, 532, 5707, 12969, 236761, 562, 10299, 236772, 10619, 8319, 1149, 1861, 4850, 236764, 840, 822, 20433, 11521, 795, 2490, 625, 1131, 496, 41992, 4735, 2707, 573, 784, 5418, 10498, 623, 7011, 1083, 623, 17995, 827, 623, 70424, 236779, 34488, 1083, 870, 236770, 236812, 236764, 236743, 236778, 236778, 236764, 236743, 236800, 236832, 1604, 623, 110444, 1083, 623, 55006, 822, 52097, 1056, 3043, 9886, 3124, 753, 506, 17748, 563, 120022, 531, 1894, 822, 12524, 83638, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 143896, 17046, 573, 3124, 236764, 46021, 568, 220615, 753, 5857, 236743, 236778, 236800, 753, 6198, 236743, 236778, 236778, 1473, 108, 242507, 5213, 42362, 76790, 66515, 138, 107, 236775, 17076, 12076, 87969, 2778, 236888, 5180, 3756, 47379, 6130, 795, 29369, 528, 1800, 3577, 532, 5707, 12969, 236761, 562, 10299, 236772, 10619, 8319, 1149, 1861, 4850, 236764, 840, 822, 20433, 11521, 795, 2490, 625, 1131, 496, 41992, 4735, 2707, 573, 784, 5418, 1781, 108, 239794, 5213, 3113, 66515, 5661, 568, 157484, 822, 7283, 532, 2608, 236772, 73260, 22234, 236768, 138, 107, 254295, 5213, 140929, 49477, 66515, 236743, 236770, 236812, 236764, 236743, 236778, 236778, 236764, 236743, 236800, 236832, 138, 107, 248127, 5213, 106644, 66515, 623, 55006, 822, 52097, 1056, 3043, 9886, 3124, 753, 506, 17748, 563, 120022, 531, 1894, 822, 12524, 83638, 1781, 108, 3497, 107355, 236789, 236751, 66232, 5596, 531, 102905, 532, 1586, 7002, 236764, 822, 3724, 236772, 28734, 36295, 672, 2069, 659, 4547, 531, 7458, 699, 3124, 236789, 236751, 42787, 25000, 236761, 3792, 822, 3756, 59542, 532, 58203, 8214, 1239, 23695, 236888, 236743, 244876, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 2506, 496, 6213, 7489, 30181, 1015, 3548, 496, 861, 25028, 57731, 573, 1116, 46391, 236764, 840, 1304, 236789, 236751, 22566, 1003, 82425, 5384, 236761, 3199, 611, 1601, 786, 2426, 1116, 53260, 5672, 40243, 236881, 5315, 236764, 1385, 872, 1116, 2881, 1699, 5602, 5853, 236743, 236832, 236828, 236819, 236812, 236810, 236825, 236761, 1637, 1304, 236789, 236751, 10833, 236764, 564, 236789, 859, 1202, 506, 7548, 2731, 4889, 531, 3249, 607, 1116, 236761, 1637, 1304, 236789, 236751, 711, 17793, 236764, 1531, 236789, 236751, 2426, 1116, 2369, 6822, 236789, 236751, 2881, 568, 1735, 236743, 236812, 236810, 236825, 236770, 236778, 236800, 236768, 2338, 668, 6494, 1028, 236772, 193319, 5526, 14348, 236761, 1637, 13637, 4146, 236764, 564, 236789, 859, 735, 531, 11327, 9302, 22617, 3835, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 90190, 1083, 1847, 236764, 623, 24471, 236779, 15081, 236779, 13308, 1083, 3714, 59849, 236779, 17846, 1083, 236743, 236778, 236810, 236771, 236771, 236761, 236771, 236764, 623, 3843, 236779, 24471, 236779, 15979, 1083, 236743, 236810, 236771, 236771, 236761, 236771, 236764, 623, 71832, 236779, 14131, 1230, 1083, 236743, 236812, 236764, 623, 21878, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236764, 623, 42103, 236779, 97516, 1083, 2416, 1263, 623, 11622, 236779, 4818, 1083, 623, 5034, 827, 623, 31443, 236779, 8318, 236779, 8572, 1083, 623, 236825, 236778, 236771, 236772, 236825, 236810, 236819, 827, 623, 4375, 1083, 623, 19952, 10833, 573, 53260, 5672, 607, 4077, 3755, 236761, 35032, 2731, 7087, 1679, 7548, 529, 609, 236810, 236771, 236771, 532, 236743, 236812, 13822, 120391, 529, 609, 236810, 236771, 236771, 1546, 236761, 30234, 1921, 577, 10951, 1680, 26891, 1781, 236783, 106, 107, 105, 4368, 107, 122452, 236789, 236751, 53260, 5672, 40243, 815, 1010, 10778, 236888, 5715, 236789, 236751, 506, 25890, 236787, 108, 1018, 110817, 18365, 53121, 113452, 161465, 138, 107, 1018, 47453, 27242, 20214, 53121, 236743, 236825, 236778, 236771, 236772, 236825, 236810, 236819, 138, 107, 1018, 27932, 9620, 28636, 53121, 107, 236772, 5213, 9640, 46203, 53121, 609, 236778, 236764, 236810, 236771, 236771, 138, 107, 236772, 5213, 8063, 35032, 53121, 609, 236810, 236771, 236771, 568, 15979, 82425, 236768, 138, 107, 236772, 5213, 96579, 64848, 53121, 236743, 236812, 120391, 529, 609, 236810, 236771, 236771, 1546, 138, 107, 236772, 5213, 34430, 25870, 53121, 236743, 236771, 236908, 138, 108, 1018, 9272, 50228, 53121, 107, 236770, 236761, 30181, 3548, 531, 35252, 4242, 506, 3755, 107, 236778, 236761, 669, 1679, 7548, 1093, 2890, 236743, 236778, 236771, 236908, 529, 506, 57731, 2157, 107, 236800, 236761, 167774, 7002, 1093, 577, 6382, 2142, 236772, 6796, 1024, 236743, 236812, 3794, 108, 38786, 611, 1133, 786, 531, 1887, 653, 4553, 1239, 4889, 531, 30181, 573, 1116, 3540, 236881, 564, 740, 992, 2426, 768, 1304, 8150, 531, 7162, 607, 31183, 506, 3755, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 560, 2506, 496, 6213, 7489, 30181, 1015, 3548, 496, 861, 25028, 57731, 573, 1116, 46391, 236764, 840, 1304, 236789, 236751, 22566, 1003, 82425, 5384, 236761, 3199, 611, 1601, 786, 2426, 1116, 53260, 5672, 40243, 236881, 5315, 236764, 1385, 872, 1116, 2881, 1699, 5602, 5853, 236743, 236832, 236828, 236819, 236812, 236810, 236825, 236761, 1637, 1304, 236789, 236751, 10833, 236764, 564, 236789, 859, 1202, 506, 7548, 2731, 4889, 531, 3249, 607, 1116, 236761, 1637, 1304, 236789, 236751, 711, 17793, 236764, 1531, 236789, 236751, 2426, 1116, 2369, 6822, 236789, 236751, 2881, 568, 1735, 236743, 236812, 236810, 236825, 236770, 236778, 236800, 236768, 2338, 668, 6494, 1028, 236772, 193319, 5526, 14348, 236761, 1637, 13637, 4146, 236764, 564, 236789, 859, 735, 531, 11327, 9302, 22617, 3835, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 90190, 1083, 1847, 236764, 623, 24471, 236779, 15081, 236779, 13308, 1083, 3714, 59849, 236779, 17846, 1083, 236743, 236778, 236810, 236771, 236771, 236761, 236771, 236764, 623, 3843, 236779, 24471, 236779, 15979, 1083, 236743, 236810, 236771, 236771, 236761, 236771, 236764, 623, 71832, 236779, 14131, 1230, 1083, 236743, 236812, 236764, 623, 21878, 236779, 4720, 1083, 236743, 236771, 236761, 236771, 236764, 623, 42103, 236779, 97516, 1083, 2416, 1263, 623, 11622, 236779, 4818, 1083, 623, 5034, 827, 623, 31443, 236779, 8318, 236779, 8572, 1083, 623, 236825, 236778, 236771, 236772, 236825, 236810, 236819, 827, 623, 4375, 1083, 623, 19952, 10833, 573, 53260, 5672, 607, 4077, 3755, 236761, 35032, 2731, 7087, 1679, 7548, 529, 609, 236810, 236771, 236771, 532, 236743, 236812, 13822, 120391, 529, 609, 236810, 236771, 236771, 1546, 236761, 30234, 1921, 577, 10951, 1680, 26891, 1781, 236783, 106, 107, 105, 4368, 107, 122452, 236789, 236751, 53260, 5672, 40243, 815, 1010, 10778, 236888, 5715, 236789, 236751, 506, 25890, 236787, 108, 1018, 110817, 18365, 53121, 113452, 161465, 138, 107, 1018, 47453, 27242, 20214, 53121, 236743, 236825, 236778, 236771, 236772, 236825, 236810, 236819, 138, 107, 1018, 27932, 9620, 28636, 53121, 107, 236772, 5213, 9640, 46203, 53121, 609, 236778, 236764, 236810, 236771, 236771, 138, 107, 236772, 5213, 8063, 35032, 53121, 609, 236810, 236771, 236771, 568, 15979, 82425, 236768, 138, 107, 236772, 5213, 96579, 64848, 53121, 236743, 236812, 120391, 529, 609, 236810, 236771, 236771, 1546, 138, 107, 236772, 5213, 34430, 25870, 53121, 236743, 236771, 236908, 138, 108, 1018, 9272, 50228, 53121, 107, 236770, 236761, 30181, 3548, 531, 35252, 4242, 506, 3755, 107, 236778, 236761, 669, 1679, 7548, 1093, 2890, 236743, 236778, 236771, 236908, 529, 506, 57731, 2157, 107, 236800, 236761, 167774, 7002, 1093, 577, 6382, 2142, 236772, 6796, 1024, 236743, 236812, 3794, 108, 38786, 611, 1133, 786, 531, 1887, 653, 4553, 1239, 4889, 531, 30181, 573, 1116, 3540, 236881, 564, 740, 992, 2426, 768, 1304, 8150, 531, 7162, 607, 31183, 506, 3755, 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, 496, 34950, 102025, 236772, 5140, 130398, 15028, 600, 14491, 1388, 607, 10710, 2205, 532, 16807, 1041, 7500, 15020, 4889, 531, 5330, 564, 740, 5697, 531, 506, 4762, 531, 3717, 506, 13153, 236761, 3792, 236789, 236751, 1502, 684, 8159, 506, 15028, 1171, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 1083, 3714, 1201, 1083, 623, 4225, 3009, 201752, 84839, 58508, 827, 623, 77095, 1083, 11058, 236770, 8578, 25865, 179144, 827, 623, 236778, 107072, 26012, 4446, 827, 623, 236770, 72881, 59010, 129882, 827, 623, 236770, 236786, 236778, 72881, 214274, 22300, 827, 623, 236770, 29508, 161624, 568, 1387, 1465, 22730, 623, 69654, 531, 11613, 14255, 623, 96654, 1083, 623, 3695, 31071, 19768, 531, 236743, 236812, 236771, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236761, 195062, 179144, 607, 26012, 4446, 236764, 129882, 236764, 214274, 236764, 29508, 236764, 532, 9551, 236761, 66599, 580, 25671, 10988, 532, 59681, 573, 236743, 236778, 236810, 236772, 236800, 236771, 4310, 3097, 66799, 236761, 25750, 8427, 1680, 12284, 10498, 623, 219202, 236779, 14210, 1083, 623, 818, 97609, 43615, 8781, 89289, 506, 3920, 15505, 99300, 529, 10710, 2205, 127096, 106, 107, 105, 4368, 107, 6445, 600, 692, 735, 506, 15028, 236764, 1531, 236789, 236751, 16807, 822, 7500, 15020, 236761, 7323, 2847, 236787, 107, 236770, 236761, 5180, 7500, 15020, 1548, 107, 236778, 236761, 669, 1883, 1298, 822, 7500, 563, 12314, 108, 12703, 6518, 236787, 623, 50615, 9661, 236787, 21593, 236770, 236778, 236800, 236764, 3245, 236787, 8253, 236775, 106, 107, 105, 2364, 107, 50615, 9661, 236787, 152296, 236832, 236828, 236819, 236764, 3245, 236787, 13187, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 50990, 236779, 4818, 1083, 623, 14009, 827, 623, 50990, 236779, 111977, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236778, 236772, 236800, 236770, 827, 623, 17766, 236779, 1201, 1083, 623, 12720, 98881, 827, 623, 41239, 236779, 13308, 1083, 3714, 10383, 1083, 623, 236770, 54283, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 9636, 1083, 623, 120803, 827, 623, 4368, 1083, 623, 9521, 36995, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 1263, 623, 3255, 1083, 623, 6597, 25938, 106, 107, 105, 4368, 107, 1018, 64020, 7989, 53121, 138, 107, 1018, 4225, 3009, 201752, 84839, 58508, 1018, 138, 107, 236772, 5213, 64690, 53121, 84839, 58508, 236764, 26012, 4446, 236764, 59010, 129882, 236764, 214274, 236764, 29508, 236764, 9551, 138, 107, 236772, 5213, 81851, 53121, 187986, 657, 236743, 236812, 236771, 236771, 237366, 236811, 573, 236743, 236778, 236810, 236772, 236800, 236771, 4310, 3097, 66799, 236761, 138, 107, 236772, 5213, 29452, 522, 53121, 200343, 1388, 607, 10710, 2205, 2779, 531, 97609, 43615, 8687, 236761, 138, 108, 1018, 50615, 36997, 128731, 568, 6597, 1473, 1018, 138, 107, 236772, 5213, 6717, 53121, 23531, 3097, 6384, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 30423, 53121, 3415, 98881, 138, 107, 236772, 5213, 50615, 53121, 236743, 236778, 236771, 236778, 236771, 31601, 142715, 568, 88645, 236787, 236743, 236770, 54283, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236768, 138, 108, 3048, 236858, 500, 784, 1076, 531, 5697, 531, 506, 4762, 532, 1386, 506, 15028, 236888, 3792, 786, 1281, 768, 611, 1202, 3342, 1601, 236761, 236743, 245701, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 496, 34950, 102025, 236772, 5140, 130398, 15028, 600, 14491, 1388, 607, 10710, 2205, 532, 16807, 1041, 7500, 15020, 4889, 531, 5330, 564, 740, 5697, 531, 506, 4762, 531, 3717, 506, 13153, 236761, 3792, 236789, 236751, 1502, 684, 8159, 506, 15028, 1171, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 1083, 3714, 1201, 1083, 623, 4225, 3009, 201752, 84839, 58508, 827, 623, 77095, 1083, 11058, 236770, 8578, 25865, 179144, 827, 623, 236778, 107072, 26012, 4446, 827, 623, 236770, 72881, 59010, 129882, 827, 623, 236770, 236786, 236778, 72881, 214274, 22300, 827, 623, 236770, 29508, 161624, 568, 1387, 1465, 22730, 623, 69654, 531, 11613, 14255, 623, 96654, 1083, 623, 3695, 31071, 19768, 531, 236743, 236812, 236771, 236771, 236785, 236756, 236771, 236771, 236763, 236771, 236811, 236761, 195062, 179144, 607, 26012, 4446, 236764, 129882, 236764, 214274, 236764, 29508, 236764, 532, 9551, 236761, 66599, 580, 25671, 10988, 532, 59681, 573, 236743, 236778, 236810, 236772, 236800, 236771, 4310, 3097, 66799, 236761, 25750, 8427, 1680, 12284, 10498, 623, 219202, 236779, 14210, 1083, 623, 818, 97609, 43615, 8781, 89289, 506, 3920, 15505, 99300, 529, 10710, 2205, 127096, 106, 107, 105, 4368, 107, 6445, 600, 692, 735, 506, 15028, 236764, 1531, 236789, 236751, 16807, 822, 7500, 15020, 236761, 7323, 2847, 236787, 107, 236770, 236761, 5180, 7500, 15020, 1548, 107, 236778, 236761, 669, 1883, 1298, 822, 7500, 563, 12314, 108, 12703, 6518, 236787, 623, 50615, 9661, 236787, 21593, 236770, 236778, 236800, 236764, 3245, 236787, 8253, 236775, 106, 107, 105, 2364, 107, 50615, 9661, 236787, 152296, 236832, 236828, 236819, 236764, 3245, 236787, 13187, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 50990, 236779, 4818, 1083, 623, 14009, 827, 623, 50990, 236779, 111977, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236770, 236778, 236772, 236800, 236770, 827, 623, 17766, 236779, 1201, 1083, 623, 12720, 98881, 827, 623, 41239, 236779, 13308, 1083, 3714, 10383, 1083, 623, 236770, 54283, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 827, 623, 9636, 1083, 623, 120803, 827, 623, 4368, 1083, 623, 9521, 36995, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236771, 1263, 623, 3255, 1083, 623, 6597, 25938, 106, 107, 105, 4368, 107, 1018, 64020, 7989, 53121, 138, 107, 1018, 4225, 3009, 201752, 84839, 58508, 1018, 138, 107, 236772, 5213, 64690, 53121, 84839, 58508, 236764, 26012, 4446, 236764, 59010, 129882, 236764, 214274, 236764, 29508, 236764, 9551, 138, 107, 236772, 5213, 81851, 53121, 187986, 657, 236743, 236812, 236771, 236771, 237366, 236811, 573, 236743, 236778, 236810, 236772, 236800, 236771, 4310, 3097, 66799, 236761, 138, 107, 236772, 5213, 29452, 522, 53121, 200343, 1388, 607, 10710, 2205, 2779, 531, 97609, 43615, 8687, 236761, 138, 108, 1018, 50615, 36997, 128731, 568, 6597, 1473, 1018, 138, 107, 236772, 5213, 6717, 53121, 23531, 3097, 6384, 236743, 236800, 236770, 236764, 236743, 236778, 236771, 236778, 236810, 138, 107, 236772, 5213, 30423, 53121, 3415, 98881, 138, 107, 236772, 5213, 50615, 53121, 236743, 236778, 236771, 236778, 236771, 31601, 142715, 568, 88645, 236787, 236743, 236770, 54283, 236832, 236828, 236819, 236771, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236768, 138, 108, 3048, 236858, 500, 784, 1076, 531, 5697, 531, 506, 4762, 532, 1386, 506, 15028, 236888, 3792, 786, 1281, 768, 611, 1202, 3342, 1601, 236761, 236743, 245701, 239794, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 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, 3551, 1873, 15858, 659, 5809, 531, 9795, 611, 3927, 573, 4876, 1699, 30154, 236761, 21284, 611, 1133, 786, 531, 1385, 872, 2613, 1663, 573, 611, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 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, 3551, 1873, 15858, 659, 5809, 531, 9795, 611, 3927, 573, 4876, 1699, 30154, 236761, 21284, 611, 1133, 786, 531, 1385, 872, 2613, 1663, 573, 611, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1765, 496, 11285, 60004, 9509, 11072, 657, 496, 120566, 2436, 672, 9735, 236764, 840, 506, 9641, 1526, 13290, 563, 52872, 236761, 564, 5630, 9333, 496, 14268, 912, 3489, 607, 1698, 5853, 112570, 236772, 8809, 1425, 236772, 236778, 236771, 236778, 236800, 236761, 3199, 611, 2426, 9593, 236789, 236751, 3385, 532, 15830, 573, 672, 912, 236764, 1299, 10769, 625, 607, 3361, 3211, 531, 1386, 2889, 625, 236789, 236751, 506, 1791, 5086, 236881, 1637, 625, 236789, 236751, 711, 528, 2862, 236764, 1451, 611, 1601, 1586, 24277, 236881, 564, 1202, 531, 7562, 672, 1680, 1041, 2148, 32286, 3446, 12441, 4598, 2148, 2069, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 3250, 1083, 623, 198975, 9509, 43015, 67349, 68311, 7936, 45240, 827, 623, 9707, 1083, 6610, 236778, 236812, 236761, 236819, 236819, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 66850, 1083, 236743, 236770, 236778, 236771, 236764, 623, 5690, 8112, 1083, 3714, 18942, 1083, 623, 183733, 827, 623, 3038, 1083, 623, 236770, 236761, 236810, 12371, 13634, 827, 623, 107405, 1083, 623, 198975, 9509, 76357, 4681, 236743, 236770, 236819, 236778, 236771, 236772, 236770, 236819, 236810, 236771, 23179, 623, 81907, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 1083, 3714, 3250, 1083, 623, 198975, 9509, 43015, 68311, 7936, 45240, 67349, 568, 4989, 80538, 236772, 8809, 1425, 236772, 236778, 236771, 236778, 236800, 22730, 623, 9707, 1083, 6610, 236770, 236810, 236761, 236819, 236819, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 7777, 1083, 623, 68428, 236772, 172671, 28575, 14268, 13290, 573, 11285, 60004, 9509, 76357, 236761, 98263, 607, 4681, 699, 506, 236743, 236770, 236819, 236800, 236771, 236751, 236772, 236770, 236819, 236810, 236771, 236751, 236761, 49308, 11764, 11808, 10498, 623, 5930, 236779, 547, 1083, 623, 4989, 80538, 236772, 8809, 1425, 236772, 236778, 236771, 236778, 236800, 23179, 623, 36988, 4853, 1083, 78493, 3250, 1083, 623, 57782, 43015, 45240, 5833, 568, 82774, 31389, 22730, 623, 9707, 1083, 6610, 236770, 236828, 236761, 236810, 236771, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 1263, 3714, 3250, 1083, 623, 4974, 69928, 75661, 43015, 50270, 15806, 827, 623, 9707, 1083, 6610, 236778, 236778, 236761, 236771, 236771, 827, 623, 56905, 1083, 623, 5566, 42357, 568, 18101, 528, 236743, 236810, 236772, 236832, 2668, 22730, 623, 13126, 1083, 236743, 236812, 236761, 236832, 104960, 623, 88933, 236779, 14210, 1083, 623, 818, 3303, 112570, 236772, 8809, 1425, 236772, 236778, 236771, 236778, 236800, 563, 506, 1346, 17075, 532, 2487, 5086, 236761, 120119, 2729, 25898, 37031, 840, 3715, 2157, 653, 24701, 12631, 1781, 236783, 106, 107, 105, 4368, 107, 818, 112570, 236772, 8809, 1425, 236772, 236778, 236771, 236778, 236800, 14268, 13290, 563, 2487, 580, 9593, 657, 5213, 236795, 236770, 236810, 236761, 236819, 236819, 1018, 568, 3843, 699, 609, 236778, 236812, 236761, 236819, 236819, 528, 506, 1982, 1698, 38485, 236768, 532, 19916, 684, 6243, 236743, 236770, 236810, 594, 236764, 1164, 528, 990, 573, 822, 32286, 3446, 236761, 120119, 3204, 236787, 108, 236770, 236761, 5213, 82774, 45240, 5833, 1018, 6131, 236770, 236828, 236761, 236810, 236771, 236764, 5809, 2862, 236768, 107, 236778, 236761, 5213, 4974, 69928, 50270, 15806, 1018, 6131, 236778, 236778, 236761, 236771, 236771, 236764, 236743, 236810, 236772, 236832, 1719, 12631, 236768, 108, 818, 3303, 912, 5469, 506, 1791, 3385, 532, 13258, 15830, 236761, 21284, 611, 1133, 1601, 21186, 625, 5467, 653, 16329, 2263, 11790, 17320, 618, 21609, 3835, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1765, 496, 11285, 60004, 9509, 11072, 657, 496, 120566, 2436, 672, 9735, 236764, 840, 506, 9641, 1526, 13290, 563, 52872, 236761, 564, 5630, 9333, 496, 14268, 912, 3489, 607, 1698, 5853, 112570, 236772, 8809, 1425, 236772, 236778, 236771, 236778, 236800, 236761, 3199, 611, 2426, 9593, 236789, 236751, 3385, 532, 15830, 573, 672, 912, 236764, 1299, 10769, 625, 607, 3361, 3211, 531, 1386, 2889, 625, 236789, 236751, 506, 1791, 5086, 236881, 1637, 625, 236789, 236751, 711, 528, 2862, 236764, 1451, 611, 1601, 1586, 24277, 236881, 564, 1202, 531, 7562, 672, 1680, 1041, 2148, 32286, 3446, 12441, 4598, 2148, 2069, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 236779, 3250, 1083, 623, 198975, 9509, 43015, 67349, 68311, 7936, 45240, 827, 623, 9707, 1083, 6610, 236778, 236812, 236761, 236819, 236819, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 66850, 1083, 236743, 236770, 236778, 236771, 236764, 623, 5690, 8112, 1083, 3714, 18942, 1083, 623, 183733, 827, 623, 3038, 1083, 623, 236770, 236761, 236810, 12371, 13634, 827, 623, 107405, 1083, 623, 198975, 9509, 76357, 4681, 236743, 236770, 236819, 236778, 236771, 236772, 236770, 236819, 236810, 236771, 23179, 623, 81907, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236770, 236772, 236770, 236810, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 5930, 1083, 3714, 3250, 1083, 623, 198975, 9509, 43015, 68311, 7936, 45240, 67349, 568, 4989, 80538, 236772, 8809, 1425, 236772, 236778, 236771, 236778, 236800, 22730, 623, 9707, 1083, 6610, 236770, 236810, 236761, 236819, 236819, 827, 623, 56905, 1083, 623, 902, 13827, 827, 623, 13126, 1083, 236743, 236812, 236761, 236810, 236764, 623, 7777, 1083, 623, 68428, 236772, 172671, 28575, 14268, 13290, 573, 11285, 60004, 9509, 76357, 236761, 98263, 607, 4681, 699, 506, 236743, 236770, 236819, 236800, 236771, 236751, 236772, 236770, 236819, 236810, 236771, 236751, 236761, 49308, 11764, 11808, 10498, 623, 5930, 236779, 547, 1083, 623, 4989, 80538, 236772, 8809, 1425, 236772, 236778, 236771, 236778, 236800, 23179, 623, 36988, 4853, 1083, 78493, 3250, 1083, 623, 57782, 43015, 45240, 5833, 568, 82774, 31389, 22730, 623, 9707, 1083, 6610, 236770, 236828, 236761, 236810, 236771, 827, 623, 56905, 1083, 623, 16904, 236743, 236800, 2378, 528, 2862, 827, 623, 13126, 1083, 236743, 236812, 236761, 236778, 1263, 3714, 3250, 1083, 623, 4974, 69928, 75661, 43015, 50270, 15806, 827, 623, 9707, 1083, 6610, 236778, 236778, 236761, 236771, 236771, 827, 623, 56905, 1083, 623, 5566, 42357, 568, 18101, 528, 236743, 236810, 236772, 236832, 2668, 22730, 623, 13126, 1083, 236743, 236812, 236761, 236832, 104960, 623, 88933, 236779, 14210, 1083, 623, 818, 3303, 112570, 236772, 8809, 1425, 236772, 236778, 236771, 236778, 236800, 563, 506, 1346, 17075, 532, 2487, 5086, 236761, 120119, 2729, 25898, 37031, 840, 3715, 2157, 653, 24701, 12631, 1781, 236783, 106, 107, 105, 4368, 107, 818, 112570, 236772, 8809, 1425, 236772, 236778, 236771, 236778, 236800, 14268, 13290, 563, 2487, 580, 9593, 657, 5213, 236795, 236770, 236810, 236761, 236819, 236819, 1018, 568, 3843, 699, 609, 236778, 236812, 236761, 236819, 236819, 528, 506, 1982, 1698, 38485, 236768, 532, 19916, 684, 6243, 236743, 236770, 236810, 594, 236764, 1164, 528, 990, 573, 822, 32286, 3446, 236761, 120119, 3204, 236787, 108, 236770, 236761, 5213, 82774, 45240, 5833, 1018, 6131, 236770, 236828, 236761, 236810, 236771, 236764, 5809, 2862, 236768, 107, 236778, 236761, 5213, 4974, 69928, 50270, 15806, 1018, 6131, 236778, 236778, 236761, 236771, 236771, 236764, 236743, 236810, 236772, 236832, 1719, 12631, 236768, 108, 818, 3303, 912, 5469, 506, 1791, 3385, 532, 13258, 15830, 236761, 21284, 611, 1133, 1601, 21186, 625, 5467, 653, 16329, 2263, 11790, 17320, 618, 21609, 3835, 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, 506, 1171, 1868, 699, 506, 36059, 13577, 34641, 8817, 236789, 236751, 623, 18160, 26438, 5137, 20349, 236775, 7073, 531, 2028, 1041, 861, 3399, 4083, 18669, 18214, 1308, 236761, 3199, 611, 33205, 600, 573, 786, 236881, 564, 1461, 531, 1386, 2889, 564, 236789, 236757, 43887, 506, 1638, 7304, 529, 1023, 23060, 528, 1041, 861, 43285, 5417, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 623, 9185, 236779, 236771, 236771, 236770, 236779, 236798, 11767, 827, 623, 3250, 1083, 623, 64801, 522, 36059, 13577, 236789, 236751, 85454, 236787, 562, 50104, 14935, 7578, 827, 623, 3955, 1083, 623, 5471, 1063, 1131, 506, 3710, 529, 36059, 13577, 607, 1023, 6524, 19717, 58442, 11285, 24133, 236764, 16348, 54949, 236764, 532, 48479, 699, 506, 3649, 236743, 236770, 236819, 236771, 236771, 236751, 236761, 144458, 506, 28968, 600, 21735, 1023, 3399, 41218, 623, 80158, 236779, 547, 1083, 623, 18160, 26438, 5137, 20349, 827, 623, 4818, 1083, 623, 5034, 827, 623, 95845, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1171, 1868, 699, 506, 36059, 13577, 34641, 8817, 236789, 236751, 623, 18160, 26438, 5137, 20349, 236775, 7073, 236787, 108, 1018, 7118, 17310, 53121, 165996, 64801, 522, 36059, 13577, 236789, 236751, 85454, 236787, 562, 50104, 14935, 7578, 147698, 138, 107, 1018, 4795, 53121, 138, 107, 236775, 5471, 1063, 1131, 506, 3710, 529, 36059, 13577, 607, 1023, 6524, 19717, 58442, 11285, 24133, 236764, 16348, 54949, 236764, 532, 48479, 699, 506, 3649, 236743, 236770, 236819, 236771, 236771, 236751, 236761, 144458, 506, 28968, 600, 21735, 1023, 3399, 9332, 138, 108, 1018, 3503, 38456, 531, 9483, 1701, 5180, 39405, 63326, 53121, 138, 107, 236770, 236761, 5213, 202880, 30235, 53121, 4075, 9042, 969, 49603, 13792, 531, 506, 3068, 568, 236744, 236761, 236759, 1126, 623, 22163, 775, 531, 11327, 36059, 13577, 236789, 236751, 11497, 8511, 1343, 4916, 236772, 498, 48479, 532, 109692, 10789, 4248, 138, 107, 236778, 236761, 5213, 46640, 18260, 53121, 48830, 506, 23722, 15737, 6791, 700, 3399, 2098, 623, 105183, 606, 28968, 1373, 531, 31830, 2263, 15154, 236761, 138, 107, 236800, 236761, 5213, 21554, 88389, 22160, 53121, 6890, 5158, 84364, 1133, 623, 9340, 1063, 2098, 623, 112620, 2098, 532, 623, 105183, 606, 236775, 531, 2619, 57337, 12056, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 672, 3342, 653, 11327, 4767, 12714, 573, 18014, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 531, 1586, 506, 1171, 1868, 699, 506, 36059, 13577, 34641, 8817, 236789, 236751, 623, 18160, 26438, 5137, 20349, 236775, 7073, 531, 2028, 1041, 861, 3399, 4083, 18669, 18214, 1308, 236761, 3199, 611, 33205, 600, 573, 786, 236881, 564, 1461, 531, 1386, 2889, 564, 236789, 236757, 43887, 506, 1638, 7304, 529, 1023, 23060, 528, 1041, 861, 43285, 5417, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 3274, 236779, 547, 1083, 623, 9185, 236779, 236771, 236771, 236770, 236779, 236798, 11767, 827, 623, 3250, 1083, 623, 64801, 522, 36059, 13577, 236789, 236751, 85454, 236787, 562, 50104, 14935, 7578, 827, 623, 3955, 1083, 623, 5471, 1063, 1131, 506, 3710, 529, 36059, 13577, 607, 1023, 6524, 19717, 58442, 11285, 24133, 236764, 16348, 54949, 236764, 532, 48479, 699, 506, 3649, 236743, 236770, 236819, 236771, 236771, 236751, 236761, 144458, 506, 28968, 600, 21735, 1023, 3399, 41218, 623, 80158, 236779, 547, 1083, 623, 18160, 26438, 5137, 20349, 827, 623, 4818, 1083, 623, 5034, 827, 623, 95845, 236779, 502, 1083, 623, 236778, 236771, 236778, 236810, 236772, 236771, 236800, 236772, 236770, 236810, 236774, 236771, 236819, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 1171, 1868, 699, 506, 36059, 13577, 34641, 8817, 236789, 236751, 623, 18160, 26438, 5137, 20349, 236775, 7073, 236787, 108, 1018, 7118, 17310, 53121, 165996, 64801, 522, 36059, 13577, 236789, 236751, 85454, 236787, 562, 50104, 14935, 7578, 147698, 138, 107, 1018, 4795, 53121, 138, 107, 236775, 5471, 1063, 1131, 506, 3710, 529, 36059, 13577, 607, 1023, 6524, 19717, 58442, 11285, 24133, 236764, 16348, 54949, 236764, 532, 48479, 699, 506, 3649, 236743, 236770, 236819, 236771, 236771, 236751, 236761, 144458, 506, 28968, 600, 21735, 1023, 3399, 9332, 138, 108, 1018, 3503, 38456, 531, 9483, 1701, 5180, 39405, 63326, 53121, 138, 107, 236770, 236761, 5213, 202880, 30235, 53121, 4075, 9042, 969, 49603, 13792, 531, 506, 3068, 568, 236744, 236761, 236759, 1126, 623, 22163, 775, 531, 11327, 36059, 13577, 236789, 236751, 11497, 8511, 1343, 4916, 236772, 498, 48479, 532, 109692, 10789, 4248, 138, 107, 236778, 236761, 5213, 46640, 18260, 53121, 48830, 506, 23722, 15737, 6791, 700, 3399, 2098, 623, 105183, 606, 28968, 1373, 531, 31830, 2263, 15154, 236761, 138, 107, 236800, 236761, 5213, 21554, 88389, 22160, 53121, 6890, 5158, 84364, 1133, 623, 9340, 1063, 2098, 623, 112620, 2098, 532, 623, 105183, 606, 236775, 531, 2619, 57337, 12056, 236761, 138, 108, 38786, 611, 1133, 531, 59638, 672, 3342, 653, 11327, 4767, 12714, 573, 18014, 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, 129875, 236761, 564, 236789, 236757, 6995, 531, 1386, 677, 2538, 135556, 24988, 573, 1041, 222549, 236789, 3517, 672, 9735, 236761, 5315, 236764, 1451, 611, 1385, 872, 496, 15028, 573, 677, 2538, 135556, 24988, 528, 26135, 27249, 236881, 4298, 236764, 506, 15028, 3189, 625, 3548, 236743, 236810, 236771, 236771, 31254, 529, 13840, 237028, 236777, 1202, 531, 7352, 600, 531, 56875, 1547, 1041, 8351, 5559, 1186, 3831, 56875, 236761, 1593, 1308, 611, 974, 506, 15028, 236764, 7352, 236743, 236810, 236771, 236771, 31254, 531, 56875, 573, 786, 236764, 5091, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 1201, 1083, 623, 83738, 971, 2538, 630, 10436, 585, 827, 623, 230586, 1083, 623, 158333, 827, 623, 77095, 1083, 11058, 236810, 2455, 32123, 3173, 47948, 827, 623, 236810, 236771, 236771, 31254, 116308, 66389, 568, 8162, 38829, 22730, 623, 236778, 14318, 827, 623, 236770, 236786, 236778, 8578, 784, 236772, 48009, 18763, 827, 623, 236770, 236786, 236812, 8578, 9556, 827, 623, 236770, 236786, 236778, 51407, 142513, 827, 623, 163625, 4446, 573, 66050, 14255, 623, 96654, 1083, 623, 236770, 236761, 187986, 47948, 3097, 172138, 236764, 52314, 236764, 532, 6349, 15003, 236761, 236743, 236778, 236761, 39198, 607, 116308, 66389, 236764, 6309, 236764, 532, 12372, 528, 8727, 236772, 1674, 700, 11711, 236761, 236743, 236800, 236761, 38355, 3097, 13935, 236761, 236743, 236812, 236761, 68988, 607, 30336, 71800, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 2394, 1083, 236743, 236770, 236832, 236761, 236825, 236812, 236764, 623, 2543, 236779, 6805, 1083, 623, 1616, 827, 623, 1071, 236779, 6805, 1083, 623, 13429, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 15028, 573, 5213, 83738, 971, 2538, 630, 10436, 585, 1018, 568, 158333, 27249, 236768, 532, 506, 14274, 611, 15633, 236787, 108, 7243, 108, 10354, 236743, 247861, 238178, 5213, 64020, 236787, 27847, 971, 2538, 630, 10436, 585, 1018, 107, 1018, 64690, 66515, 107, 236772, 236743, 236810, 2455, 32123, 3173, 47948, 138, 107, 236772, 236743, 236810, 236771, 236771, 31254, 808, 6601, 236748, 66389, 236829, 568, 8162, 38829, 236768, 138, 107, 236772, 236743, 236778, 14318, 138, 107, 236772, 47041, 8578, 784, 236772, 48009, 18763, 138, 107, 236772, 81568, 8578, 9556, 138, 107, 236772, 47041, 51407, 142513, 138, 107, 236772, 43591, 4446, 573, 66050, 138, 108, 1018, 81851, 66515, 107, 236770, 236761, 187986, 47948, 3097, 172138, 236764, 52314, 236764, 532, 6349, 15003, 236761, 138, 107, 236778, 236761, 39198, 607, 808, 6601, 236748, 66389, 30237, 6309, 236764, 532, 12372, 528, 8727, 236772, 1674, 700, 11711, 236761, 138, 107, 236800, 236761, 38355, 3097, 13935, 236761, 138, 107, 236812, 236761, 68988, 607, 30336, 71800, 236761, 138, 108, 7243, 108, 10354, 236743, 248705, 5213, 75675, 66515, 138, 107, 1018, 236810, 236771, 236771, 31254, 529, 13840, 578, 236743, 236770, 236832, 236761, 236825, 236812, 56875, 1018, 138, 107, 11069, 8351, 5559, 795, 1676, 5213, 236770, 236832, 236761, 236825, 236812, 16109, 1018, 573, 506, 13840, 236761, 28819, 14049, 607, 822, 222549, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 9259, 236764, 564, 236789, 236757, 129875, 236761, 564, 236789, 236757, 6995, 531, 1386, 677, 2538, 135556, 24988, 573, 1041, 222549, 236789, 3517, 672, 9735, 236761, 5315, 236764, 1451, 611, 1385, 872, 496, 15028, 573, 677, 2538, 135556, 24988, 528, 26135, 27249, 236881, 4298, 236764, 506, 15028, 3189, 625, 3548, 236743, 236810, 236771, 236771, 31254, 529, 13840, 237028, 236777, 1202, 531, 7352, 600, 531, 56875, 1547, 1041, 8351, 5559, 1186, 3831, 56875, 236761, 1593, 1308, 611, 974, 506, 15028, 236764, 7352, 236743, 236810, 236771, 236771, 31254, 531, 56875, 573, 786, 236764, 5091, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 42352, 236779, 1201, 1083, 623, 83738, 971, 2538, 630, 10436, 585, 827, 623, 230586, 1083, 623, 158333, 827, 623, 77095, 1083, 11058, 236810, 2455, 32123, 3173, 47948, 827, 623, 236810, 236771, 236771, 31254, 116308, 66389, 568, 8162, 38829, 22730, 623, 236778, 14318, 827, 623, 236770, 236786, 236778, 8578, 784, 236772, 48009, 18763, 827, 623, 236770, 236786, 236812, 8578, 9556, 827, 623, 236770, 236786, 236778, 51407, 142513, 827, 623, 163625, 4446, 573, 66050, 14255, 623, 96654, 1083, 623, 236770, 236761, 187986, 47948, 3097, 172138, 236764, 52314, 236764, 532, 6349, 15003, 236761, 236743, 236778, 236761, 39198, 607, 116308, 66389, 236764, 6309, 236764, 532, 12372, 528, 8727, 236772, 1674, 700, 11711, 236761, 236743, 236800, 236761, 38355, 3097, 13935, 236761, 236743, 236812, 236761, 68988, 607, 30336, 71800, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 107642, 236779, 2394, 1083, 236743, 236770, 236832, 236761, 236825, 236812, 236764, 623, 2543, 236779, 6805, 1083, 623, 1616, 827, 623, 1071, 236779, 6805, 1083, 623, 13429, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 15028, 573, 5213, 83738, 971, 2538, 630, 10436, 585, 1018, 568, 158333, 27249, 236768, 532, 506, 14274, 611, 15633, 236787, 108, 7243, 108, 10354, 236743, 247861, 238178, 5213, 64020, 236787, 27847, 971, 2538, 630, 10436, 585, 1018, 107, 1018, 64690, 66515, 107, 236772, 236743, 236810, 2455, 32123, 3173, 47948, 138, 107, 236772, 236743, 236810, 236771, 236771, 31254, 808, 6601, 236748, 66389, 236829, 568, 8162, 38829, 236768, 138, 107, 236772, 236743, 236778, 14318, 138, 107, 236772, 47041, 8578, 784, 236772, 48009, 18763, 138, 107, 236772, 81568, 8578, 9556, 138, 107, 236772, 47041, 51407, 142513, 138, 107, 236772, 43591, 4446, 573, 66050, 138, 108, 1018, 81851, 66515, 107, 236770, 236761, 187986, 47948, 3097, 172138, 236764, 52314, 236764, 532, 6349, 15003, 236761, 138, 107, 236778, 236761, 39198, 607, 808, 6601, 236748, 66389, 30237, 6309, 236764, 532, 12372, 528, 8727, 236772, 1674, 700, 11711, 236761, 138, 107, 236800, 236761, 38355, 3097, 13935, 236761, 138, 107, 236812, 236761, 68988, 607, 30336, 71800, 236761, 138, 108, 7243, 108, 10354, 236743, 248705, 5213, 75675, 66515, 138, 107, 1018, 236810, 236771, 236771, 31254, 529, 13840, 578, 236743, 236770, 236832, 236761, 236825, 236812, 56875, 1018, 138, 107, 11069, 8351, 5559, 795, 1676, 5213, 236770, 236832, 236761, 236825, 236812, 16109, 1018, 573, 506, 13840, 236761, 28819, 14049, 607, 822, 222549, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 236743, 236778, 236796, 14626, 8411, 573, 506, 3399, 3988, 236789, 236751, 16038, 4749, 672, 2297, 236761, 28344, 611, 8729, 886, 6807, 5505, 236743, 236778, 236771, 236778, 236812, 607, 1023, 16789, 24564, 13721, 532, 9550, 99531, 11373, 236881, 564, 1461, 531, 1386, 2889, 506, 14069, 8913, 607, 506, 49115, 5975, 236789, 236751, 10368, 2311, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23426, 236779, 8545, 1083, 870, 4119, 827, 623, 236770, 827, 623, 236778, 827, 623, 236800, 827, 623, 236812, 827, 623, 236810, 827, 623, 236825, 14255, 11058, 236832, 827, 623, 236828, 827, 623, 236819, 827, 623, 236770, 236771, 827, 623, 236770, 236770, 827, 623, 236770, 236778, 827, 623, 236770, 236800, 14255, 11058, 236770, 236812, 827, 623, 236770, 236810, 827, 623, 236770, 236825, 827, 623, 236770, 236832, 827, 623, 236770, 236828, 827, 623, 236770, 236819, 827, 623, 236778, 236771, 14255, 11058, 236778, 236770, 827, 623, 236778, 236778, 827, 623, 236778, 236800, 827, 623, 236778, 236812, 827, 623, 236778, 236810, 827, 623, 236778, 236825, 827, 623, 236778, 236832, 14255, 11058, 236778, 236828, 827, 623, 236778, 236819, 827, 623, 236800, 236771, 827, 623, 236800, 236770, 827, 15437, 15437, 623, 1935, 1604, 623, 18582, 1083, 78493, 3250, 1083, 623, 218799, 25402, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236828, 827, 623, 7125, 1083, 623, 46640, 6022, 23179, 3714, 3250, 1083, 623, 51551, 48298, 61538, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236770, 236778, 827, 623, 7125, 1083, 623, 46640, 6022, 23179, 3714, 3250, 1083, 623, 105411, 3999, 9055, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236770, 236810, 827, 623, 7125, 1083, 623, 46640, 19871, 23179, 3714, 3250, 1083, 623, 218799, 25402, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236778, 236778, 827, 623, 7125, 1083, 623, 46640, 6022, 23179, 3714, 3250, 1083, 623, 46640, 12410, 91624, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236778, 236832, 827, 623, 7125, 1083, 623, 46640, 9519, 25938, 1604, 623, 11283, 1083, 236743, 236832, 236764, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236812, 236764, 623, 99883, 1083, 623, 47158, 236786, 4199, 236779, 74093, 827, 623, 3041, 236779, 1496, 1083, 623, 48049, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 236743, 236778, 236796, 14626, 8411, 573, 5505, 236743, 236778, 236771, 236778, 236812, 607, 822, 3399, 3988, 4749, 236787, 108, 1018, 30211, 236743, 236778, 236771, 236778, 236812, 30467, 568, 2866, 13873, 236787, 5711, 236786, 4199, 236779, 74093, 62902, 107, 2717, 107, 4541, 138, 18557, 138, 21831, 138, 1882, 138, 1214, 138, 4255, 138, 15799, 107, 146, 236770, 139, 236778, 139, 236800, 139, 236812, 139, 236825, 107, 236743, 236832, 139, 236828, 139, 236819, 138, 236770, 236771, 138, 236770, 236770, 138, 236770, 236778, 138, 236770, 236800, 107, 236770, 236812, 138, 236770, 236810, 138, 236770, 236825, 138, 236770, 236832, 138, 236770, 236828, 138, 236770, 236819, 138, 236778, 236771, 107, 236778, 236770, 138, 236778, 236778, 138, 236778, 236800, 138, 236778, 236812, 138, 236778, 236810, 138, 236778, 236825, 138, 236778, 236832, 107, 236778, 236828, 138, 236778, 236819, 138, 236800, 236771, 138, 236800, 236770, 107, 2717, 108, 1018, 10666, 524, 31698, 53121, 107, 236772, 5213, 218799, 25402, 1018, 568, 18557, 11291, 236743, 236828, 236768, 753, 11493, 6022, 107, 236772, 5213, 51551, 48298, 61538, 1018, 568, 110239, 11291, 236743, 236770, 236778, 236768, 753, 11493, 6022, 107, 236772, 5213, 105411, 3999, 9055, 1018, 568, 10505, 11291, 236743, 236770, 236810, 236768, 753, 11493, 19871, 107, 236772, 5213, 218799, 25402, 1018, 568, 10505, 11291, 236743, 236778, 236778, 236768, 753, 11493, 6022, 107, 236772, 5213, 46640, 12410, 91624, 1018, 568, 45533, 11291, 236743, 236778, 236832, 236768, 753, 11493, 9519, 108, 818, 14626, 9857, 5695, 580, 8174, 618, 15633, 236761, 669, 49115, 5975, 2460, 580, 5505, 236743, 236770, 236810, 100146, 607, 506, 3399, 3988, 236789, 236751, 10368, 532, 4038, 236789, 236745, 12160, 607, 1032, 11373, 4749, 236761, 21284, 611, 1133, 786, 531, 6253, 4658, 653, 1138, 4767, 2460, 26401, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2619, 496, 236743, 236800, 236796, 44751, 529, 1041, 25357, 7972, 11273, 1699, 506, 29080, 10368, 564, 7659, 1774, 2297, 236881, 564, 1461, 531, 1460, 1217, 506, 14836, 13035, 2731, 100146, 607, 506, 3399, 3988, 236789, 236751, 2460, 14626, 692, 1164, 20301, 236761, 39799, 236764, 564, 1202, 531, 5330, 506, 3798, 14919, 14069, 1537, 236789, 236745, 12160, 607, 1023, 24564, 13721, 580, 5505, 236743, 236828, 594, 532, 236743, 236778, 236778, 523, 236761, 669, 236743, 236800, 236796, 2028, 1374, 1407, 1546, 8541, 236789, 236751, 13376, 236764, 14836, 4458, 236764, 532, 3877, 13479, 684, 2069, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4368, 236779, 547, 1083, 623, 236800, 236796, 236779, 236823, 10581, 1439, 236779, 236778, 236771, 236778, 236812, 236771, 236832, 236771, 236770, 827, 623, 19631, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 20097, 236779, 32248, 236779, 27297, 1083, 236743, 236800, 236825, 236771, 236771, 236764, 623, 1516, 1083, 3714, 36530, 1083, 78493, 5767, 236779, 547, 1083, 623, 236776, 236770, 827, 623, 63265, 1083, 623, 236800, 236757, 1123, 236743, 236778, 236757, 827, 623, 4002, 236779, 47923, 1083, 623, 23889, 15202, 827, 623, 45882, 236779, 17585, 1083, 623, 24569, 2546, 827, 623, 48828, 236779, 41413, 1083, 3714, 10141, 236779, 48828, 236779, 3041, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 10141, 236779, 48828, 236779, 643, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236800, 236771, 236775, 5237, 3714, 5767, 236779, 547, 1083, 623, 236799, 236778, 827, 623, 63265, 1083, 623, 236778, 236761, 236810, 236757, 1123, 236743, 236770, 236761, 236828, 236757, 827, 623, 4002, 236779, 47923, 1083, 623, 9767, 153373, 827, 623, 45882, 236779, 17585, 1083, 623, 13632, 8236, 827, 623, 48828, 236779, 41413, 1083, 3714, 10141, 236779, 48828, 236779, 3041, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236778, 236771, 827, 623, 10141, 236779, 48828, 236779, 643, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236771, 236810, 127096, 1604, 623, 5106, 236779, 10331, 79055, 1083, 78493, 5106, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236828, 827, 623, 10331, 115051, 236779, 36530, 1083, 11058, 236776, 236770, 827, 623, 236799, 236778, 14255, 623, 128828, 236779, 2084, 1083, 623, 218799, 25402, 7178, 35680, 23179, 3714, 5106, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236778, 236778, 827, 623, 10331, 115051, 236779, 36530, 1083, 11058, 236776, 236770, 827, 623, 236799, 236778, 14255, 623, 128828, 236779, 2084, 1083, 623, 218799, 25402, 7178, 35680, 25938, 1604, 623, 5939, 1083, 623, 3723, 827, 623, 35396, 1083, 623, 11480, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 236743, 236800, 236796, 7972, 44751, 3671, 13148, 607, 506, 3399, 14626, 236787, 108, 1018, 236800, 236796, 19871, 9483, 568, 1735, 236787, 236743, 236800, 236796, 236779, 236823, 10581, 1439, 236779, 236778, 236771, 236778, 236812, 236771, 236832, 236771, 236770, 62902, 107, 236772, 60257, 236787, 5505, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236771, 236771, 236787, 236771, 236771, 59528, 107, 236772, 47278, 236787, 4819, 107, 236772, 83910, 236787, 47203, 51599, 108, 1018, 115232, 37521, 53121, 107, 236770, 236761, 5213, 29274, 562, 236770, 1018, 568, 236800, 236757, 1123, 236743, 236778, 236757, 236768, 753, 95463, 107, 139, 236772, 14040, 32079, 236787, 226298, 107, 139, 236772, 16175, 56846, 236787, 5110, 236743, 236770, 236810, 753, 4905, 236743, 236800, 236771, 108, 236778, 236761, 5213, 29274, 603, 236778, 1018, 568, 236778, 236761, 236810, 236757, 1123, 236743, 236770, 236761, 236828, 236757, 236768, 753, 3331, 153373, 107, 139, 236772, 14040, 32079, 236787, 37081, 8236, 107, 139, 236772, 16175, 56846, 236787, 5110, 236743, 236778, 236771, 753, 8934, 236743, 236810, 108, 1018, 39656, 217210, 228274, 53121, 107, 236772, 5213, 30211, 236743, 236828, 568, 218799, 25402, 1473, 1018, 10508, 23299, 1660, 9626, 1913, 2460, 107, 236772, 5213, 30211, 236743, 236778, 236778, 568, 218799, 25402, 1473, 1018, 10508, 23299, 528, 6749, 3877, 5420, 1913, 2460, 108, 818, 44751, 3831, 951, 1982, 12160, 1534, 3798, 14919, 14069, 568, 28104, 236772, 29097, 236768, 532, 506, 5505, 24564, 13721, 236761, 3153, 236764, 1873, 3877, 13479, 1660, 5700, 1913, 1800, 13721, 236761, 21284, 611, 1133, 531, 236787, 107, 236770, 236761, 35593, 7972, 9626, 30916, 107, 236778, 236761, 110238, 2460, 21238, 107, 236800, 236761, 5841, 28540, 236743, 236800, 236796, 2028, 607, 20843, 90353, 108, 818, 2028, 795, 11269, 16955, 51599, 531, 7495, 3877, 27187, 236761, 106, 107, 105, 2364, 107, 30092, 611, 6253, 506, 7972, 9626, 10368, 531, 94140, 1680, 1546, 24564, 5395, 532, 8729, 614, 10448, 236743, 236800, 236796, 2028, 236881, 39799, 236764, 8633, 30336, 76325, 531, 5505, 236743, 236832, 594, 568, 48049, 236768, 532, 58958, 106831, 531, 5505, 236743, 236778, 236770, 540, 568, 48049, 236768, 531, 5571, 28847, 236761, 564, 1461, 531, 1460, 768, 672, 19375, 14836, 13035, 21238, 653, 14004, 861, 4342, 607, 506, 3399, 14626, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4368, 236779, 547, 1083, 623, 4368, 236779, 236778, 236771, 236778, 236812, 236779, 45312, 827, 623, 4818, 1083, 623, 10934, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 1516, 236779, 2451, 1083, 623, 2574, 1411, 3677, 236761, 8358, 236761, 854, 236786, 236800, 236753, 11245, 236786, 45312, 236779, 3667, 236779, 236778, 236771, 236778, 236812, 827, 623, 4375, 1083, 623, 236800, 236796, 44751, 10448, 607, 20843, 9626, 10368, 236787, 96294, 76325, 29465, 531, 5505, 236743, 236832, 594, 532, 58958, 106831, 531, 5505, 236743, 236778, 236770, 540, 236761, 2301, 28847, 13207, 607, 1873, 14836, 13035, 90353, 10498, 623, 20097, 236779, 32248, 1083, 236743, 236800, 236825, 236771, 236771, 236764, 623, 1516, 236779, 5939, 1083, 623, 3723, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 10448, 236743, 236800, 236796, 7972, 44751, 607, 822, 20843, 9626, 10368, 236787, 108, 1018, 236800, 236796, 19871, 9483, 568, 1735, 236787, 2028, 236779, 236778, 236771, 236778, 236812, 236779, 45312, 62902, 107, 236772, 18365, 236787, 82521, 10448, 107, 236772, 11662, 42841, 236787, 5505, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236771, 236771, 236787, 236771, 236771, 59528, 107, 236772, 13863, 236787, 870, 18086, 236786, 2039, 236743, 236800, 236796, 9483, 5457, 2574, 1411, 3677, 236761, 8358, 236761, 854, 236786, 236800, 236753, 11245, 236786, 45312, 236779, 3667, 236779, 236778, 236771, 236778, 236812, 236768, 108, 1018, 3503, 35593, 1230, 53121, 107, 236772, 96294, 76325, 7808, 531, 5213, 30211, 236743, 236832, 568, 48049, 62902, 107, 236772, 210782, 106831, 14812, 573, 5213, 30211, 236743, 236778, 236770, 568, 48049, 62902, 107, 236772, 10508, 9395, 1492, 7723, 1680, 24564, 13721, 580, 5505, 236743, 236828, 532, 236743, 236778, 236778, 108, 1018, 66207, 13768, 53121, 107, 240732, 2301, 1763, 580, 14836, 13035, 90353, 138, 107, 240732, 2301, 861, 28847, 607, 3399, 14626, 4749, 138, 107, 240732, 2343, 9626, 9395, 1492, 14812, 580, 64635, 1056, 3399, 3988, 563, 6535, 108, 818, 2028, 44898, 822, 30981, 10428, 14245, 39252, 28847, 1651, 16977, 12567, 14836, 2913, 90353, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 19148, 3530, 3877, 5552, 35719, 573, 1546, 8541, 236881, 107, 236778, 236761, 43165, 506, 236743, 236800, 236796, 2028, 573, 35726, 3540, 236881, 107, 236800, 236761, 5833, 872, 14623, 12160, 51679, 573, 3402, 10368, 3731, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 1202, 496, 236743, 236778, 236796, 14626, 8411, 573, 506, 3399, 3988, 236789, 236751, 16038, 4749, 672, 2297, 236761, 28344, 611, 8729, 886, 6807, 5505, 236743, 236778, 236771, 236778, 236812, 607, 1023, 16789, 24564, 13721, 532, 9550, 99531, 11373, 236881, 564, 1461, 531, 1386, 2889, 506, 14069, 8913, 607, 506, 49115, 5975, 236789, 236751, 10368, 2311, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 23426, 236779, 8545, 1083, 870, 4119, 827, 623, 236770, 827, 623, 236778, 827, 623, 236800, 827, 623, 236812, 827, 623, 236810, 827, 623, 236825, 14255, 11058, 236832, 827, 623, 236828, 827, 623, 236819, 827, 623, 236770, 236771, 827, 623, 236770, 236770, 827, 623, 236770, 236778, 827, 623, 236770, 236800, 14255, 11058, 236770, 236812, 827, 623, 236770, 236810, 827, 623, 236770, 236825, 827, 623, 236770, 236832, 827, 623, 236770, 236828, 827, 623, 236770, 236819, 827, 623, 236778, 236771, 14255, 11058, 236778, 236770, 827, 623, 236778, 236778, 827, 623, 236778, 236800, 827, 623, 236778, 236812, 827, 623, 236778, 236810, 827, 623, 236778, 236825, 827, 623, 236778, 236832, 14255, 11058, 236778, 236828, 827, 623, 236778, 236819, 827, 623, 236800, 236771, 827, 623, 236800, 236770, 827, 15437, 15437, 623, 1935, 1604, 623, 18582, 1083, 78493, 3250, 1083, 623, 218799, 25402, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236828, 827, 623, 7125, 1083, 623, 46640, 6022, 23179, 3714, 3250, 1083, 623, 51551, 48298, 61538, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236770, 236778, 827, 623, 7125, 1083, 623, 46640, 6022, 23179, 3714, 3250, 1083, 623, 105411, 3999, 9055, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236770, 236810, 827, 623, 7125, 1083, 623, 46640, 19871, 23179, 3714, 3250, 1083, 623, 218799, 25402, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236778, 236778, 827, 623, 7125, 1083, 623, 46640, 6022, 23179, 3714, 3250, 1083, 623, 46640, 12410, 91624, 827, 623, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236778, 236832, 827, 623, 7125, 1083, 623, 46640, 9519, 25938, 1604, 623, 11283, 1083, 236743, 236832, 236764, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236812, 236764, 623, 99883, 1083, 623, 47158, 236786, 4199, 236779, 74093, 827, 623, 3041, 236779, 1496, 1083, 623, 48049, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 236743, 236778, 236796, 14626, 8411, 573, 5505, 236743, 236778, 236771, 236778, 236812, 607, 822, 3399, 3988, 4749, 236787, 108, 1018, 30211, 236743, 236778, 236771, 236778, 236812, 30467, 568, 2866, 13873, 236787, 5711, 236786, 4199, 236779, 74093, 62902, 107, 2717, 107, 4541, 138, 18557, 138, 21831, 138, 1882, 138, 1214, 138, 4255, 138, 15799, 107, 146, 236770, 139, 236778, 139, 236800, 139, 236812, 139, 236825, 107, 236743, 236832, 139, 236828, 139, 236819, 138, 236770, 236771, 138, 236770, 236770, 138, 236770, 236778, 138, 236770, 236800, 107, 236770, 236812, 138, 236770, 236810, 138, 236770, 236825, 138, 236770, 236832, 138, 236770, 236828, 138, 236770, 236819, 138, 236778, 236771, 107, 236778, 236770, 138, 236778, 236778, 138, 236778, 236800, 138, 236778, 236812, 138, 236778, 236810, 138, 236778, 236825, 138, 236778, 236832, 107, 236778, 236828, 138, 236778, 236819, 138, 236800, 236771, 138, 236800, 236770, 107, 2717, 108, 1018, 10666, 524, 31698, 53121, 107, 236772, 5213, 218799, 25402, 1018, 568, 18557, 11291, 236743, 236828, 236768, 753, 11493, 6022, 107, 236772, 5213, 51551, 48298, 61538, 1018, 568, 110239, 11291, 236743, 236770, 236778, 236768, 753, 11493, 6022, 107, 236772, 5213, 105411, 3999, 9055, 1018, 568, 10505, 11291, 236743, 236770, 236810, 236768, 753, 11493, 19871, 107, 236772, 5213, 218799, 25402, 1018, 568, 10505, 11291, 236743, 236778, 236778, 236768, 753, 11493, 6022, 107, 236772, 5213, 46640, 12410, 91624, 1018, 568, 45533, 11291, 236743, 236778, 236832, 236768, 753, 11493, 9519, 108, 818, 14626, 9857, 5695, 580, 8174, 618, 15633, 236761, 669, 49115, 5975, 2460, 580, 5505, 236743, 236770, 236810, 100146, 607, 506, 3399, 3988, 236789, 236751, 10368, 532, 4038, 236789, 236745, 12160, 607, 1032, 11373, 4749, 236761, 21284, 611, 1133, 786, 531, 6253, 4658, 653, 1138, 4767, 2460, 26401, 236881, 106, 107, 105, 2364, 107, 30092, 611, 2619, 496, 236743, 236800, 236796, 44751, 529, 1041, 25357, 7972, 11273, 1699, 506, 29080, 10368, 564, 7659, 1774, 2297, 236881, 564, 1461, 531, 1460, 1217, 506, 14836, 13035, 2731, 100146, 607, 506, 3399, 3988, 236789, 236751, 2460, 14626, 692, 1164, 20301, 236761, 39799, 236764, 564, 1202, 531, 5330, 506, 3798, 14919, 14069, 1537, 236789, 236745, 12160, 607, 1023, 24564, 13721, 580, 5505, 236743, 236828, 594, 532, 236743, 236778, 236778, 523, 236761, 669, 236743, 236800, 236796, 2028, 1374, 1407, 1546, 8541, 236789, 236751, 13376, 236764, 14836, 4458, 236764, 532, 3877, 13479, 684, 2069, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4818, 1083, 623, 10934, 827, 623, 4368, 236779, 547, 1083, 623, 236800, 236796, 236779, 236823, 10581, 1439, 236779, 236778, 236771, 236778, 236812, 236771, 236832, 236771, 236770, 827, 623, 19631, 236779, 502, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 20097, 236779, 32248, 236779, 27297, 1083, 236743, 236800, 236825, 236771, 236771, 236764, 623, 1516, 1083, 3714, 36530, 1083, 78493, 5767, 236779, 547, 1083, 623, 236776, 236770, 827, 623, 63265, 1083, 623, 236800, 236757, 1123, 236743, 236778, 236757, 827, 623, 4002, 236779, 47923, 1083, 623, 23889, 15202, 827, 623, 45882, 236779, 17585, 1083, 623, 24569, 2546, 827, 623, 48828, 236779, 41413, 1083, 3714, 10141, 236779, 48828, 236779, 3041, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236770, 236810, 827, 623, 10141, 236779, 48828, 236779, 643, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236771, 236772, 236800, 236771, 236775, 5237, 3714, 5767, 236779, 547, 1083, 623, 236799, 236778, 827, 623, 63265, 1083, 623, 236778, 236761, 236810, 236757, 1123, 236743, 236770, 236761, 236828, 236757, 827, 623, 4002, 236779, 47923, 1083, 623, 9767, 153373, 827, 623, 45882, 236779, 17585, 1083, 623, 13632, 8236, 827, 623, 48828, 236779, 41413, 1083, 3714, 10141, 236779, 48828, 236779, 3041, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236819, 236772, 236778, 236771, 827, 623, 10141, 236779, 48828, 236779, 643, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236770, 236770, 236772, 236771, 236810, 127096, 1604, 623, 5106, 236779, 10331, 79055, 1083, 78493, 5106, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236828, 827, 623, 10331, 115051, 236779, 36530, 1083, 11058, 236776, 236770, 827, 623, 236799, 236778, 14255, 623, 128828, 236779, 2084, 1083, 623, 218799, 25402, 7178, 35680, 23179, 3714, 5106, 236779, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236778, 236778, 827, 623, 10331, 115051, 236779, 36530, 1083, 11058, 236776, 236770, 827, 623, 236799, 236778, 14255, 623, 128828, 236779, 2084, 1083, 623, 218799, 25402, 7178, 35680, 25938, 1604, 623, 5939, 1083, 623, 3723, 827, 623, 35396, 1083, 623, 11480, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 822, 236743, 236800, 236796, 7972, 44751, 3671, 13148, 607, 506, 3399, 14626, 236787, 108, 1018, 236800, 236796, 19871, 9483, 568, 1735, 236787, 236743, 236800, 236796, 236779, 236823, 10581, 1439, 236779, 236778, 236771, 236778, 236812, 236771, 236832, 236771, 236770, 62902, 107, 236772, 60257, 236787, 5505, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236771, 236771, 236787, 236771, 236771, 59528, 107, 236772, 47278, 236787, 4819, 107, 236772, 83910, 236787, 47203, 51599, 108, 1018, 115232, 37521, 53121, 107, 236770, 236761, 5213, 29274, 562, 236770, 1018, 568, 236800, 236757, 1123, 236743, 236778, 236757, 236768, 753, 95463, 107, 139, 236772, 14040, 32079, 236787, 226298, 107, 139, 236772, 16175, 56846, 236787, 5110, 236743, 236770, 236810, 753, 4905, 236743, 236800, 236771, 108, 236778, 236761, 5213, 29274, 603, 236778, 1018, 568, 236778, 236761, 236810, 236757, 1123, 236743, 236770, 236761, 236828, 236757, 236768, 753, 3331, 153373, 107, 139, 236772, 14040, 32079, 236787, 37081, 8236, 107, 139, 236772, 16175, 56846, 236787, 5110, 236743, 236778, 236771, 753, 8934, 236743, 236810, 108, 1018, 39656, 217210, 228274, 53121, 107, 236772, 5213, 30211, 236743, 236828, 568, 218799, 25402, 1473, 1018, 10508, 23299, 1660, 9626, 1913, 2460, 107, 236772, 5213, 30211, 236743, 236778, 236778, 568, 218799, 25402, 1473, 1018, 10508, 23299, 528, 6749, 3877, 5420, 1913, 2460, 108, 818, 44751, 3831, 951, 1982, 12160, 1534, 3798, 14919, 14069, 568, 28104, 236772, 29097, 236768, 532, 506, 5505, 24564, 13721, 236761, 3153, 236764, 1873, 3877, 13479, 1660, 5700, 1913, 1800, 13721, 236761, 21284, 611, 1133, 531, 236787, 107, 236770, 236761, 35593, 7972, 9626, 30916, 107, 236778, 236761, 110238, 2460, 21238, 107, 236800, 236761, 5841, 28540, 236743, 236800, 236796, 2028, 607, 20843, 90353, 108, 818, 2028, 795, 11269, 16955, 51599, 531, 7495, 3877, 27187, 236761, 106, 107, 105, 2364, 107, 30092, 611, 6253, 506, 7972, 9626, 10368, 531, 94140, 1680, 1546, 24564, 5395, 532, 8729, 614, 10448, 236743, 236800, 236796, 2028, 236881, 39799, 236764, 8633, 30336, 76325, 531, 5505, 236743, 236832, 594, 568, 48049, 236768, 532, 58958, 106831, 531, 5505, 236743, 236778, 236770, 540, 568, 48049, 236768, 531, 5571, 28847, 236761, 564, 1461, 531, 1460, 768, 672, 19375, 14836, 13035, 21238, 653, 14004, 861, 4342, 607, 506, 3399, 14626, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 4368, 236779, 547, 1083, 623, 4368, 236779, 236778, 236771, 236778, 236812, 236779, 45312, 827, 623, 4818, 1083, 623, 10934, 827, 623, 5455, 236779, 25903, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236832, 236772, 236771, 236770, 236774, 236771, 236771, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 827, 623, 1516, 236779, 2451, 1083, 623, 2574, 1411, 3677, 236761, 8358, 236761, 854, 236786, 236800, 236753, 11245, 236786, 45312, 236779, 3667, 236779, 236778, 236771, 236778, 236812, 827, 623, 4375, 1083, 623, 236800, 236796, 44751, 10448, 607, 20843, 9626, 10368, 236787, 96294, 76325, 29465, 531, 5505, 236743, 236832, 594, 532, 58958, 106831, 531, 5505, 236743, 236778, 236770, 540, 236761, 2301, 28847, 13207, 607, 1873, 14836, 13035, 90353, 10498, 623, 20097, 236779, 32248, 1083, 236743, 236800, 236825, 236771, 236771, 236764, 623, 1516, 236779, 5939, 1083, 623, 3723, 25938, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 10448, 236743, 236800, 236796, 7972, 44751, 607, 822, 20843, 9626, 10368, 236787, 108, 1018, 236800, 236796, 19871, 9483, 568, 1735, 236787, 2028, 236779, 236778, 236771, 236778, 236812, 236779, 45312, 62902, 107, 236772, 18365, 236787, 82521, 10448, 107, 236772, 11662, 42841, 236787, 5505, 236743, 236770, 236764, 236743, 236778, 236771, 236778, 236812, 657, 236743, 236771, 236771, 236787, 236771, 236771, 59528, 107, 236772, 13863, 236787, 870, 18086, 236786, 2039, 236743, 236800, 236796, 9483, 5457, 2574, 1411, 3677, 236761, 8358, 236761, 854, 236786, 236800, 236753, 11245, 236786, 45312, 236779, 3667, 236779, 236778, 236771, 236778, 236812, 236768, 108, 1018, 3503, 35593, 1230, 53121, 107, 236772, 96294, 76325, 7808, 531, 5213, 30211, 236743, 236832, 568, 48049, 62902, 107, 236772, 210782, 106831, 14812, 573, 5213, 30211, 236743, 236778, 236770, 568, 48049, 62902, 107, 236772, 10508, 9395, 1492, 7723, 1680, 24564, 13721, 580, 5505, 236743, 236828, 532, 236743, 236778, 236778, 108, 1018, 66207, 13768, 53121, 107, 240732, 2301, 1763, 580, 14836, 13035, 90353, 138, 107, 240732, 2301, 861, 28847, 607, 3399, 14626, 4749, 138, 107, 240732, 2343, 9626, 9395, 1492, 14812, 580, 64635, 1056, 3399, 3988, 563, 6535, 108, 818, 2028, 44898, 822, 30981, 10428, 14245, 39252, 28847, 1651, 16977, 12567, 14836, 2913, 90353, 236761, 21284, 611, 1133, 786, 531, 236787, 107, 236770, 236761, 19148, 3530, 3877, 5552, 35719, 573, 1546, 8541, 236881, 107, 236778, 236761, 43165, 506, 236743, 236800, 236796, 2028, 573, 35726, 3540, 236881, 107, 236800, 236761, 5833, 872, 14623, 12160, 51679, 573, 3402, 10368, 3731, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 163521, 1590, 236761, 26660, 496, 5371, 657, 506, 31882, 564, 1202, 1601, 607, 236761, 9187, 684, 4710, 496, 24966, 752, 741, 27773, 3671, 580, 506, 54630, 44803, 10202, 753, 600, 176288, 7797, 236772, 2883, 3336, 3541, 506, 13317, 106771, 815, 1010, 13011, 872, 236761, 9920, 611, 974, 1724, 2536, 236764, 4071, 236772, 30449, 1027, 13207, 24798, 607, 506, 22125, 5873, 3499, 236789, 236751, 5776, 25716, 699, 506, 3068, 236743, 236832, 236778, 3885, 236761, 4298, 236764, 2721, 580, 506, 10805, 14900, 699, 1800, 18025, 236764, 56856, 837, 20874, 1202, 13258, 5663, 17611, 14922, 837, 740, 4491, 573, 506, 3446, 42942, 236761, 9996, 2889, 531, 8134, 1027, 3759, 96460, 1534, 10202, 30609, 532, 5842, 181057, 753, 600, 2255, 29193, 684, 506, 22295, 2473, 577, 14260, 2416, 74477, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13873, 236779, 547, 1083, 236743, 236800, 236764, 623, 4818, 1083, 623, 5034, 827, 623, 121774, 236779, 61677, 236751, 1083, 78493, 2084, 1083, 623, 212757, 236779, 1968, 813, 827, 623, 58578, 1083, 236743, 236771, 236761, 236832, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 13308, 1083, 3714, 33422, 236779, 20001, 1083, 623, 221627, 827, 623, 5973, 236779, 2086, 1083, 623, 28602, 827, 623, 10082, 236779, 63055, 1083, 623, 4530, 236779, 30558, 236779, 26303, 236779, 1071, 236779, 155176, 236779, 207013, 127096, 1604, 623, 58578, 236779, 34436, 236779, 3456, 1083, 236743, 236771, 236761, 236825, 236764, 623, 28263, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236810, 236787, 236771, 236771, 236953, 827, 623, 85038, 567, 1083, 623, 39656, 5663, 17611, 1913, 2148, 58745, 3885, 236793, 4071, 236772, 30449, 607, 22125, 5873, 5776, 25716, 573, 3759, 28981, 607, 29193, 181057, 1781, 236783, 106, 107, 105, 4368, 107, 236820, 28263, 236813, 107, 818, 24966, 752, 741, 27773, 3671, 573, 54630, 44803, 10202, 236743, 236800, 568, 14084, 37182, 236772, 31191, 119070, 236772, 236771, 236770, 236768, 13207, 496, 3435, 44803, 29162, 657, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 59528, 607, 236743, 236832, 236778, 236908, 10805, 236761, 669, 1458, 85859, 26237, 5776, 9935, 532, 7860, 236772, 21928, 7751, 3541, 506, 176288, 7797, 236772, 2883, 22295, 236761, 96519, 236764, 506, 3671, 8385, 496, 2653, 14824, 607, 12214, 22055, 753, 672, 100146, 607, 822, 4561, 1003, 506, 2255, 29193, 14260, 2416, 74477, 236761, 108, 9675, 236764, 564, 3914, 4133, 4071, 236772, 35380, 9908, 607, 506, 22125, 5873, 3499, 236789, 236751, 5776, 25716, 618, 564, 1537, 236789, 236745, 735, 2802, 531, 600, 1262, 3738, 236761, 28344, 611, 2847, 236787, 107, 236770, 236761, 669, 3530, 5873, 5853, 573, 506, 22125, 3499, 568, 5939, 236787, 37182, 236772, 31191, 119070, 236772, 11002, 236768, 107, 236778, 236761, 13863, 531, 11858, 5776, 25716, 573, 600, 5873, 108, 8782, 15136, 2721, 580, 2487, 1262, 236787, 107, 236772, 59193, 64226, 236787, 27773, 236743, 236800, 568, 36227, 10958, 44803, 236768, 2779, 531, 236743, 236832, 236778, 236908, 10805, 6317, 107, 236772, 40675, 7179, 236787, 92474, 17611, 531, 16807, 12214, 22055, 107, 236772, 15895, 74617, 236787, 26295, 10202, 236743, 236800, 607, 4869, 17511, 568, 58578, 14272, 236743, 236771, 236761, 236812, 236768, 108, 38786, 611, 1133, 786, 531, 6253, 506, 3671, 6137, 653, 3213, 580, 1027, 3530, 10217, 529, 506, 13207, 7492, 236881, 107, 954, 28263, 236813, 106, 107, 105, 2364, 107, 818, 22125, 3499, 563, 37182, 236772, 31191, 119070, 236772, 236771, 236810, 753, 600, 236789, 236751, 506, 886, 14086, 506, 13317, 26625, 10259, 236761, 1773, 573, 25716, 236764, 611, 236789, 859, 1202, 531, 8091, 1091, 1343, 506, 1689, 5052, 5941, 236789, 236751, 5776, 236779, 1587, 9173, 236761, 175011, 506, 4077, 31324, 753, 1161, 506, 11996, 223851, 16433, 692, 1076, 872, 1774, 1051, 1913, 506, 1458, 74319, 236761, 9920, 611, 236789, 560, 2506, 1724, 25716, 236764, 4071, 236772, 30449, 1091, 607, 506, 29193, 236789, 236751, 9626, 8735, 699, 506, 8848, 7948, 236761, 11696, 10916, 573, 9832, 57952, 16590, 506, 5776, 53768, 753, 600, 236789, 859, 3442, 775, 768, 625, 236789, 236751, 496, 14628, 12866, 653, 5396, 76149, 236761, 1452, 1651, 611, 236789, 500, 657, 625, 236764, 2426, 768, 506, 85859, 29162, 990, 88435, 607, 1027, 14812, 108308, 18560, 528, 600, 7095, 236761, 1637, 625, 236789, 236751, 1164, 506, 3446, 13919, 61886, 28754, 6211, 1570, 236764, 564, 236789, 859, 735, 4171, 607, 68283, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14084, 236779, 547, 1083, 623, 43885, 236772, 31191, 119070, 236772, 236771, 236810, 827, 623, 13873, 236779, 547, 1083, 623, 80382, 236779, 10890, 2783, 39415, 827, 623, 4818, 1083, 623, 1968, 813, 236779, 121774, 827, 623, 121774, 236779, 61677, 236751, 1083, 78493, 2084, 1083, 623, 602, 34798, 236779, 8482, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 7777, 1083, 623, 36623, 236772, 21928, 5776, 13207, 657, 22295, 1757, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236828, 236953, 23179, 3714, 2084, 1083, 623, 89149, 236779, 207013, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236825, 236810, 236764, 623, 7777, 1083, 623, 236847, 14987, 3759, 9958, 607, 22295, 162516, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236828, 236953, 25938, 1604, 623, 58578, 236779, 34436, 236779, 3456, 1083, 236743, 236771, 236761, 236812, 236764, 623, 89149, 236779, 4818, 1083, 3714, 105298, 236779, 80382, 236772, 236770, 1083, 623, 5034, 236779, 236766, 14987, 827, 623, 73249, 236779, 168196, 1083, 623, 108977, 2470, 23179, 623, 85038, 567, 1083, 623, 30255, 77372, 5663, 17611, 529, 45753, 44803, 10202, 236761, 12713, 236772, 30449, 607, 37182, 236772, 165266, 236772, 236771, 236778, 5776, 25716, 3831, 236743, 236800, 48490, 4749, 528, 3068, 236743, 236832, 236778, 3885, 10498, 623, 135615, 236779, 28263, 1083, 3714, 33422, 236779, 20001, 1083, 623, 2266, 183010, 236779, 976, 236779, 11243, 827, 623, 4530, 236779, 30558, 236779, 37716, 1083, 623, 114292, 827, 623, 125595, 236779, 68995, 1083, 623, 11480, 236779, 15879, 236779, 16023, 236779, 5034, 127096, 106, 107, 105, 4368, 107, 236820, 28263, 236813, 107, 818, 4071, 236772, 28263, 529, 1800, 5873, 40037, 21577, 496, 6749, 14824, 236787, 108, 236770, 236761, 5213, 43885, 236772, 31191, 119070, 236772, 236771, 236770, 568, 25907, 10958, 209987, 62902, 138, 107, 139, 236772, 228274, 236743, 236832, 236778, 236908, 10805, 29162, 657, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 59528, 138, 107, 139, 236772, 1804, 85859, 623, 10082, 236779, 63055, 236787, 2416, 236779, 30558, 236779, 26303, 236779, 1071, 236779, 155176, 236779, 207013, 236775, 108, 236778, 236761, 5213, 43885, 236772, 31191, 119070, 236772, 236771, 236810, 568, 83256, 8199, 62902, 138, 107, 139, 236772, 228274, 48490, 62362, 7234, 568, 236832, 236828, 11376, 532, 5842, 22055, 568, 236825, 236810, 11376, 657, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236743, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236828, 236953, 138, 107, 139, 236772, 29187, 4981, 3831, 623, 105298, 236779, 80382, 236772, 236770, 236787, 5158, 236779, 236766, 14987, 236775, 1913, 672, 2846, 108, 3503, 9935, 8385, 236787, 138, 107, 236772, 10508, 29135, 10997, 1913, 1494, 6573, 51679, 568, 125595, 5415, 236768, 138, 107, 236772, 191957, 99885, 8913, 607, 29193, 31383, 4749, 138, 107, 236772, 37182, 236772, 31191, 119070, 236772, 236771, 236810, 3831, 623, 236800, 48490, 4749, 528, 3068, 236743, 236832, 236778, 3885, 236775, 108, 1018, 201430, 53121, 138, 107, 236770, 236761, 5213, 110613, 10659, 53121, 138, 107, 139, 236772, 64231, 9626, 531, 19703, 29193, 45753, 236772, 236770, 573, 9832, 57952, 1913, 236743, 236770, 236812, 236787, 236778, 236778, 236772, 236770, 236812, 236787, 236800, 236810, 59528, 4771, 138, 107, 139, 236772, 27468, 12040, 22295, 17611, 573, 45753, 44803, 568, 34065, 77372, 1024, 3446, 42942, 236768, 138, 108, 236778, 236761, 5213, 2100, 90329, 53121, 138, 107, 139, 236772, 12713, 236772, 30449, 607, 108308, 30916, 573, 31115, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236743, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236828, 236953, 138, 107, 139, 236772, 7179, 37182, 236772, 165266, 236772, 236771, 236778, 5776, 25716, 573, 506, 236743, 236800, 4785, 48490, 4749, 138, 108, 236800, 236761, 5213, 9277, 44771, 156416, 53121, 138, 107, 139, 236772, 35593, 12692, 236779, 9074, 573, 37182, 236772, 31191, 119070, 236772, 236771, 236770, 531, 623, 28435, 5710, 236779, 114613, 236775, 1913, 1494, 6573, 3439, 138, 107, 139, 236772, 26959, 10805, 236779, 34436, 531, 236743, 236771, 236761, 236812, 1186, 1913, 29193, 9626, 11665, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3671, 6137, 653, 3213, 580, 3530, 14824, 10217, 236881, 669, 1458, 3914, 5467, 2802, 9626, 8735, 653, 108308, 30916, 2180, 12040, 2744, 236761, 107, 954, 28263, 236813, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 163521, 1590, 236761, 26660, 496, 5371, 657, 506, 31882, 564, 1202, 1601, 607, 236761, 9187, 684, 4710, 496, 24966, 752, 741, 27773, 3671, 580, 506, 54630, 44803, 10202, 753, 600, 176288, 7797, 236772, 2883, 3336, 3541, 506, 13317, 106771, 815, 1010, 13011, 872, 236761, 9920, 611, 974, 1724, 2536, 236764, 4071, 236772, 30449, 1027, 13207, 24798, 607, 506, 22125, 5873, 3499, 236789, 236751, 5776, 25716, 699, 506, 3068, 236743, 236832, 236778, 3885, 236761, 4298, 236764, 2721, 580, 506, 10805, 14900, 699, 1800, 18025, 236764, 56856, 837, 20874, 1202, 13258, 5663, 17611, 14922, 837, 740, 4491, 573, 506, 3446, 42942, 236761, 9996, 2889, 531, 8134, 1027, 3759, 96460, 1534, 10202, 30609, 532, 5842, 181057, 753, 600, 2255, 29193, 684, 506, 22295, 2473, 577, 14260, 2416, 74477, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 13873, 236779, 547, 1083, 236743, 236800, 236764, 623, 4818, 1083, 623, 5034, 827, 623, 121774, 236779, 61677, 236751, 1083, 78493, 2084, 1083, 623, 212757, 236779, 1968, 813, 827, 623, 58578, 1083, 236743, 236771, 236761, 236832, 236778, 236764, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 236953, 827, 623, 13308, 1083, 3714, 33422, 236779, 20001, 1083, 623, 221627, 827, 623, 5973, 236779, 2086, 1083, 623, 28602, 827, 623, 10082, 236779, 63055, 1083, 623, 4530, 236779, 30558, 236779, 26303, 236779, 1071, 236779, 155176, 236779, 207013, 127096, 1604, 623, 58578, 236779, 34436, 236779, 3456, 1083, 236743, 236771, 236761, 236825, 236764, 623, 28263, 236779, 2289, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236774, 236770, 236812, 236787, 236778, 236810, 236787, 236771, 236771, 236953, 827, 623, 85038, 567, 1083, 623, 39656, 5663, 17611, 1913, 2148, 58745, 3885, 236793, 4071, 236772, 30449, 607, 22125, 5873, 5776, 25716, 573, 3759, 28981, 607, 29193, 181057, 1781, 236783, 106, 107, 105, 4368, 107, 236820, 28263, 236813, 107, 818, 24966, 752, 741, 27773, 3671, 573, 54630, 44803, 10202, 236743, 236800, 568, 14084, 37182, 236772, 31191, 119070, 236772, 236771, 236770, 236768, 13207, 496, 3435, 44803, 29162, 657, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 59528, 607, 236743, 236832, 236778, 236908, 10805, 236761, 669, 1458, 85859, 26237, 5776, 9935, 532, 7860, 236772, 21928, 7751, 3541, 506, 176288, 7797, 236772, 2883, 22295, 236761, 96519, 236764, 506, 3671, 8385, 496, 2653, 14824, 607, 12214, 22055, 753, 672, 100146, 607, 822, 4561, 1003, 506, 2255, 29193, 14260, 2416, 74477, 236761, 108, 9675, 236764, 564, 3914, 4133, 4071, 236772, 35380, 9908, 607, 506, 22125, 5873, 3499, 236789, 236751, 5776, 25716, 618, 564, 1537, 236789, 236745, 735, 2802, 531, 600, 1262, 3738, 236761, 28344, 611, 2847, 236787, 107, 236770, 236761, 669, 3530, 5873, 5853, 573, 506, 22125, 3499, 568, 5939, 236787, 37182, 236772, 31191, 119070, 236772, 11002, 236768, 107, 236778, 236761, 13863, 531, 11858, 5776, 25716, 573, 600, 5873, 108, 8782, 15136, 2721, 580, 2487, 1262, 236787, 107, 236772, 59193, 64226, 236787, 27773, 236743, 236800, 568, 36227, 10958, 44803, 236768, 2779, 531, 236743, 236832, 236778, 236908, 10805, 6317, 107, 236772, 40675, 7179, 236787, 92474, 17611, 531, 16807, 12214, 22055, 107, 236772, 15895, 74617, 236787, 26295, 10202, 236743, 236800, 607, 4869, 17511, 568, 58578, 14272, 236743, 236771, 236761, 236812, 236768, 108, 38786, 611, 1133, 786, 531, 6253, 506, 3671, 6137, 653, 3213, 580, 1027, 3530, 10217, 529, 506, 13207, 7492, 236881, 107, 954, 28263, 236813, 106, 107, 105, 2364, 107, 818, 22125, 3499, 563, 37182, 236772, 31191, 119070, 236772, 236771, 236810, 753, 600, 236789, 236751, 506, 886, 14086, 506, 13317, 26625, 10259, 236761, 1773, 573, 25716, 236764, 611, 236789, 859, 1202, 531, 8091, 1091, 1343, 506, 1689, 5052, 5941, 236789, 236751, 5776, 236779, 1587, 9173, 236761, 175011, 506, 4077, 31324, 753, 1161, 506, 11996, 223851, 16433, 692, 1076, 872, 1774, 1051, 1913, 506, 1458, 74319, 236761, 9920, 611, 236789, 560, 2506, 1724, 25716, 236764, 4071, 236772, 30449, 1091, 607, 506, 29193, 236789, 236751, 9626, 8735, 699, 506, 8848, 7948, 236761, 11696, 10916, 573, 9832, 57952, 16590, 506, 5776, 53768, 753, 600, 236789, 859, 3442, 775, 768, 625, 236789, 236751, 496, 14628, 12866, 653, 5396, 76149, 236761, 1452, 1651, 611, 236789, 500, 657, 625, 236764, 2426, 768, 506, 85859, 29162, 990, 88435, 607, 1027, 14812, 108308, 18560, 528, 600, 7095, 236761, 1637, 625, 236789, 236751, 1164, 506, 3446, 13919, 61886, 28754, 6211, 1570, 236764, 564, 236789, 859, 735, 4171, 607, 68283, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 14084, 236779, 547, 1083, 623, 43885, 236772, 31191, 119070, 236772, 236771, 236810, 827, 623, 13873, 236779, 547, 1083, 623, 80382, 236779, 10890, 2783, 39415, 827, 623, 4818, 1083, 623, 1968, 813, 236779, 121774, 827, 623, 121774, 236779, 61677, 236751, 1083, 78493, 2084, 1083, 623, 602, 34798, 236779, 8482, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236832, 236828, 236764, 623, 7777, 1083, 623, 36623, 236772, 21928, 5776, 13207, 657, 22295, 1757, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236828, 236953, 23179, 3714, 2084, 1083, 623, 89149, 236779, 207013, 827, 623, 58578, 236779, 8318, 1083, 236743, 236771, 236761, 236825, 236810, 236764, 623, 7777, 1083, 623, 236847, 14987, 3759, 9958, 607, 22295, 162516, 827, 623, 24422, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236774, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236828, 236953, 25938, 1604, 623, 58578, 236779, 34436, 236779, 3456, 1083, 236743, 236771, 236761, 236812, 236764, 623, 89149, 236779, 4818, 1083, 3714, 105298, 236779, 80382, 236772, 236770, 1083, 623, 5034, 236779, 236766, 14987, 827, 623, 73249, 236779, 168196, 1083, 623, 108977, 2470, 23179, 623, 85038, 567, 1083, 623, 30255, 77372, 5663, 17611, 529, 45753, 44803, 10202, 236761, 12713, 236772, 30449, 607, 37182, 236772, 165266, 236772, 236771, 236778, 5776, 25716, 3831, 236743, 236800, 48490, 4749, 528, 3068, 236743, 236832, 236778, 3885, 10498, 623, 135615, 236779, 28263, 1083, 3714, 33422, 236779, 20001, 1083, 623, 2266, 183010, 236779, 976, 236779, 11243, 827, 623, 4530, 236779, 30558, 236779, 37716, 1083, 623, 114292, 827, 623, 125595, 236779, 68995, 1083, 623, 11480, 236779, 15879, 236779, 16023, 236779, 5034, 127096, 106, 107, 105, 4368, 107, 236820, 28263, 236813, 107, 818, 4071, 236772, 28263, 529, 1800, 5873, 40037, 21577, 496, 6749, 14824, 236787, 108, 236770, 236761, 5213, 43885, 236772, 31191, 119070, 236772, 236771, 236770, 568, 25907, 10958, 209987, 62902, 138, 107, 139, 236772, 228274, 236743, 236832, 236778, 236908, 10805, 29162, 657, 236743, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236771, 236810, 236743, 236770, 236812, 236787, 236778, 236778, 236787, 236770, 236832, 59528, 138, 107, 139, 236772, 1804, 85859, 623, 10082, 236779, 63055, 236787, 2416, 236779, 30558, 236779, 26303, 236779, 1071, 236779, 155176, 236779, 207013, 236775, 108, 236778, 236761, 5213, 43885, 236772, 31191, 119070, 236772, 236771, 236810, 568, 83256, 8199, 62902, 138, 107, 139, 236772, 228274, 48490, 62362, 7234, 568, 236832, 236828, 11376, 532, 5842, 22055, 568, 236825, 236810, 11376, 657, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236743, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236828, 236953, 138, 107, 139, 236772, 29187, 4981, 3831, 623, 105298, 236779, 80382, 236772, 236770, 236787, 5158, 236779, 236766, 14987, 236775, 1913, 672, 2846, 108, 3503, 9935, 8385, 236787, 138, 107, 236772, 10508, 29135, 10997, 1913, 1494, 6573, 51679, 568, 125595, 5415, 236768, 138, 107, 236772, 191957, 99885, 8913, 607, 29193, 31383, 4749, 138, 107, 236772, 37182, 236772, 31191, 119070, 236772, 236771, 236810, 3831, 623, 236800, 48490, 4749, 528, 3068, 236743, 236832, 236778, 3885, 236775, 108, 1018, 201430, 53121, 138, 107, 236770, 236761, 5213, 110613, 10659, 53121, 138, 107, 139, 236772, 64231, 9626, 531, 19703, 29193, 45753, 236772, 236770, 573, 9832, 57952, 1913, 236743, 236770, 236812, 236787, 236778, 236778, 236772, 236770, 236812, 236787, 236800, 236810, 59528, 4771, 138, 107, 139, 236772, 27468, 12040, 22295, 17611, 573, 45753, 44803, 568, 34065, 77372, 1024, 3446, 42942, 236768, 138, 108, 236778, 236761, 5213, 2100, 90329, 53121, 138, 107, 139, 236772, 12713, 236772, 30449, 607, 108308, 30916, 573, 31115, 236743, 236778, 236771, 236778, 236800, 236772, 236771, 236819, 236772, 236778, 236810, 236743, 236770, 236812, 236787, 236800, 236778, 236787, 236770, 236828, 236953, 138, 107, 139, 236772, 7179, 37182, 236772, 165266, 236772, 236771, 236778, 5776, 25716, 573, 506, 236743, 236800, 4785, 48490, 4749, 138, 108, 236800, 236761, 5213, 9277, 44771, 156416, 53121, 138, 107, 139, 236772, 35593, 12692, 236779, 9074, 573, 37182, 236772, 31191, 119070, 236772, 236771, 236770, 531, 623, 28435, 5710, 236779, 114613, 236775, 1913, 1494, 6573, 3439, 138, 107, 139, 236772, 26959, 10805, 236779, 34436, 531, 236743, 236771, 236761, 236812, 1186, 1913, 29193, 9626, 11665, 138, 108, 38786, 611, 1133, 786, 531, 59638, 506, 3671, 6137, 653, 3213, 580, 3530, 14824, 10217, 236881, 669, 1458, 3914, 5467, 2802, 9626, 8735, 653, 108308, 30916, 2180, 12040, 2744, 236761, 107, 954, 28263, 236813, 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, 9226, 2197, 91624, 2460, 528, 181238, 532, 1202, 1601, 21558, 14417, 37643, 600, 8913, 607, 2263, 15067, 236761, 5715, 236789, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 1161, 2165, 2305, 236779, 495, 236779, 7376, 236929, 607, 15375, 236743, 236800, 236770, 236761, 236825, 236800, 236771, 236771, 237366, 236797, 236764, 236743, 236832, 236761, 236819, 236819, 236771, 236771, 237366, 236824, 532, 18384, 1984, 236743, 236770, 236771, 531, 1586, 1903, 236772, 7577, 2460, 9952, 653, 12616, 528, 181238, 236761, 236743, 236778, 236761, 12774, 506, 1960, 62606, 699, 506, 3927, 2536, 532, 2426, 910, 151540, 4981, 1699, 2165, 716, 3067, 10228, 236779, 127988, 547, 236929, 568, 151439, 1960, 62606, 4187, 531, 54067, 62606, 573, 672, 5708, 769, 236743, 236800, 236761, 1701, 1027, 14417, 37643, 8385, 236764, 12270, 60194, 35088, 18853, 699, 7607, 46811, 1699, 2165, 145644, 236779, 4060, 236779, 53298, 236929, 531, 1460, 768, 1027, 2263, 11421, 659, 16939, 236764, 834, 564, 740, 16422, 1610, 19365, 657, 506, 2460, 236761, 1637, 1027, 5904, 2246, 20269, 2779, 531, 7689, 31085, 117947, 653, 9299, 16305, 236764, 6253, 506, 4313, 1651, 16977, 506, 7157, 12092, 236761, 3792, 786, 1281, 768, 611, 1202, 4767, 4403, 236888, 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, 8938, 1083, 623, 46456, 1548, 236764, 2506, 2483, 827, 623, 68520, 1083, 623, 46456, 1548, 236764, 2506, 2483, 827, 623, 35076, 1083, 623, 46456, 1548, 236764, 2506, 2483, 827, 623, 17846, 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, 214009, 1083, 78493, 23019, 236779, 547, 1083, 623, 231834, 236770, 236778, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 9585, 169945, 32462, 98823, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 7125, 1083, 3714, 7720, 236770, 1083, 623, 236776, 6109, 569, 759, 21427, 827, 623, 13319, 1083, 623, 9585, 169945, 827, 623, 14801, 1083, 623, 27505, 28232, 827, 623, 15905, 236779, 3970, 1083, 623, 236812, 236771, 236771, 236771, 236771, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236770, 236761, 236825, 236800, 236770, 236810, 236764, 623, 41713, 1083, 753, 236832, 236761, 236819, 236828, 236832, 236810, 112679, 3714, 23019, 236779, 547, 1083, 623, 231834, 236825, 236832, 236828, 236819, 236771, 827, 623, 1201, 1083, 623, 16170, 792, 31698, 833, 133806, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 7125, 1083, 3714, 7720, 236770, 1083, 623, 192784, 853, 133855, 827, 623, 13319, 1083, 623, 9585, 169945, 827, 623, 14801, 1083, 623, 27505, 28232, 827, 623, 15905, 236779, 3970, 1083, 623, 236812, 236771, 236771, 236771, 236771, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236770, 236761, 236825, 236778, 236828, 236819, 236764, 623, 41713, 1083, 753, 236832, 236761, 236819, 236819, 236778, 236770, 112679, 3714, 23019, 236779, 547, 1083, 623, 231834, 236770, 236770, 236778, 236778, 236800, 827, 623, 1201, 1083, 623, 236773, 144833, 29223, 833, 82637, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 7125, 1083, 3714, 7720, 236770, 1083, 623, 24698, 730, 5680, 236746, 862, 236772, 236811, 1789, 827, 623, 13319, 1083, 623, 9585, 169945, 827, 623, 14801, 1083, 623, 27505, 28232, 827, 623, 15905, 236779, 3970, 1083, 623, 236812, 236771, 236771, 236771, 236771, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236770, 236761, 236825, 236800, 236800, 236812, 236764, 623, 41713, 1083, 753, 236832, 236761, 236819, 236828, 236819, 236828, 19465, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236810, 236764, 623, 35076, 236779, 5909, 236779, 3456, 1083, 236743, 236770, 236771, 236764, 623, 13647, 1083, 623, 841, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 78928, 1083, 1847, 236764, 623, 6109, 1083, 623, 2368, 131973, 722, 68039, 67924, 827, 623, 43289, 1083, 623, 97875, 827, 623, 12549, 236779, 5909, 1083, 623, 18034, 5135, 236779, 8960, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 145644, 236779, 54405, 1083, 78493, 1201, 1083, 623, 177285, 33438, 4585, 827, 623, 76562, 1083, 623, 9585, 169945, 32106, 109278, 827, 623, 20845, 1083, 623, 236770, 236778, 236771, 236771, 57480, 827, 623, 12380, 236779, 9707, 1083, 623, 236771, 236761, 236828, 57480, 827, 623, 27923, 1083, 236743, 236800, 236812, 236771, 236771, 1263, 3714, 1201, 1083, 623, 105487, 214389, 827, 623, 76562, 1083, 623, 30185, 31942, 17399, 616, 827, 623, 20845, 1083, 623, 236819, 236810, 236771, 57480, 827, 623, 12380, 236779, 9707, 1083, 623, 236771, 236761, 236825, 236810, 57480, 827, 623, 27923, 1083, 236743, 236778, 236770, 236771, 236771, 1263, 3714, 1201, 1083, 623, 120761, 31093, 17468, 827, 623, 76562, 1083, 623, 23720, 793, 140226, 2805, 785, 827, 623, 20845, 1083, 623, 236832, 236828, 236771, 57480, 827, 623, 12380, 236779, 9707, 1083, 623, 236771, 236761, 236810, 57480, 827, 623, 27923, 1083, 236743, 236770, 236828, 236771, 236771, 104960, 623, 53298, 1083, 3714, 4002, 236779, 17846, 1083, 236743, 236810, 236771, 236764, 623, 4002, 236779, 10617, 1083, 236743, 236771, 236764, 623, 6725, 236779, 54405, 1083, 236743, 236770, 236778, 236832, 236764, 623, 4874, 236779, 10617, 1083, 236743, 236810, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 67722, 1938, 573, 822, 9226, 2197, 91624, 2460, 528, 181238, 236787, 108, 1018, 128996, 98823, 229414, 53121, 107, 236772, 5213, 2368, 131973, 722, 68039, 67924, 1018, 568, 17844, 5853, 236787, 219055, 236770, 236778, 236800, 236812, 236810, 236768, 107, 138, 236772, 13863, 236787, 122484, 236772, 8960, 107, 138, 236772, 40279, 236787, 32173, 107, 138, 236772, 21617, 236787, 17463, 569, 759, 21427, 236764, 181238, 568, 236812, 236761, 236828, 240281, 14470, 236768, 108, 1018, 13517, 8231, 236772, 21998, 28636, 53121, 107, 236770, 236761, 26382, 31698, 833, 133806, 568, 236812, 236761, 236825, 240281, 236768, 107, 236778, 236761, 555, 144833, 29223, 833, 82637, 568, 236812, 236761, 236832, 240281, 236768, 108, 1018, 13149, 58887, 580, 7607, 46811, 155208, 4224, 53121, 107, 236770, 236761, 5213, 9585, 169945, 32106, 109278, 1018, 753, 623, 177285, 33438, 4585, 236775, 568, 236770, 236778, 236771, 236771, 57480, 5542, 236768, 107, 236778, 236761, 5213, 30185, 31942, 17399, 616, 1018, 753, 623, 105487, 214389, 236775, 568, 236819, 236810, 236771, 57480, 5542, 236768, 107, 236800, 236761, 5213, 23720, 793, 140226, 2805, 785, 1018, 753, 623, 120761, 31093, 17468, 236775, 568, 236832, 236828, 236771, 57480, 5542, 236768, 108, 9208, 11421, 1451, 2847, 7516, 9226, 4403, 573, 822, 2460, 236761, 21284, 611, 1133, 1601, 68657, 19573, 6799, 3342, 653, 22260, 3530, 1610, 12434, 3835, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 35447, 496, 9226, 2197, 91624, 2460, 528, 181238, 532, 1202, 1601, 21558, 14417, 37643, 600, 8913, 607, 2263, 15067, 236761, 5715, 236789, 236751, 1144, 564, 1202, 236787, 236743, 236770, 236761, 5315, 236764, 1161, 2165, 2305, 236779, 495, 236779, 7376, 236929, 607, 15375, 236743, 236800, 236770, 236761, 236825, 236800, 236771, 236771, 237366, 236797, 236764, 236743, 236832, 236761, 236819, 236819, 236771, 236771, 237366, 236824, 532, 18384, 1984, 236743, 236770, 236771, 531, 1586, 1903, 236772, 7577, 2460, 9952, 653, 12616, 528, 181238, 236761, 236743, 236778, 236761, 12774, 506, 1960, 62606, 699, 506, 3927, 2536, 532, 2426, 910, 151540, 4981, 1699, 2165, 716, 3067, 10228, 236779, 127988, 547, 236929, 568, 151439, 1960, 62606, 4187, 531, 54067, 62606, 573, 672, 5708, 769, 236743, 236800, 236761, 1701, 1027, 14417, 37643, 8385, 236764, 12270, 60194, 35088, 18853, 699, 7607, 46811, 1699, 2165, 145644, 236779, 4060, 236779, 53298, 236929, 531, 1460, 768, 1027, 2263, 11421, 659, 16939, 236764, 834, 564, 740, 16422, 1610, 19365, 657, 506, 2460, 236761, 1637, 1027, 5904, 2246, 20269, 2779, 531, 7689, 31085, 117947, 653, 9299, 16305, 236764, 6253, 506, 4313, 1651, 16977, 506, 7157, 12092, 236761, 3792, 786, 1281, 768, 611, 1202, 4767, 4403, 236888, 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, 8938, 1083, 623, 46456, 1548, 236764, 2506, 2483, 827, 623, 68520, 1083, 623, 46456, 1548, 236764, 2506, 2483, 827, 623, 35076, 1083, 623, 46456, 1548, 236764, 2506, 2483, 827, 623, 17846, 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, 214009, 1083, 78493, 23019, 236779, 547, 1083, 623, 231834, 236770, 236778, 236800, 236812, 236810, 827, 623, 1201, 1083, 623, 9585, 169945, 32462, 98823, 827, 623, 13126, 1083, 236743, 236812, 236761, 236828, 236764, 623, 7125, 1083, 3714, 7720, 236770, 1083, 623, 236776, 6109, 569, 759, 21427, 827, 623, 13319, 1083, 623, 9585, 169945, 827, 623, 14801, 1083, 623, 27505, 28232, 827, 623, 15905, 236779, 3970, 1083, 623, 236812, 236771, 236771, 236771, 236771, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236770, 236761, 236825, 236800, 236770, 236810, 236764, 623, 41713, 1083, 753, 236832, 236761, 236819, 236828, 236832, 236810, 112679, 3714, 23019, 236779, 547, 1083, 623, 231834, 236825, 236832, 236828, 236819, 236771, 827, 623, 1201, 1083, 623, 16170, 792, 31698, 833, 133806, 827, 623, 13126, 1083, 236743, 236812, 236761, 236825, 236764, 623, 7125, 1083, 3714, 7720, 236770, 1083, 623, 192784, 853, 133855, 827, 623, 13319, 1083, 623, 9585, 169945, 827, 623, 14801, 1083, 623, 27505, 28232, 827, 623, 15905, 236779, 3970, 1083, 623, 236812, 236771, 236771, 236771, 236771, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236770, 236761, 236825, 236778, 236828, 236819, 236764, 623, 41713, 1083, 753, 236832, 236761, 236819, 236819, 236778, 236770, 112679, 3714, 23019, 236779, 547, 1083, 623, 231834, 236770, 236770, 236778, 236778, 236800, 827, 623, 1201, 1083, 623, 236773, 144833, 29223, 833, 82637, 827, 623, 13126, 1083, 236743, 236812, 236761, 236832, 236764, 623, 7125, 1083, 3714, 7720, 236770, 1083, 623, 24698, 730, 5680, 236746, 862, 236772, 236811, 1789, 827, 623, 13319, 1083, 623, 9585, 169945, 827, 623, 14801, 1083, 623, 27505, 28232, 827, 623, 15905, 236779, 3970, 1083, 623, 236812, 236771, 236771, 236771, 236771, 827, 623, 56220, 1083, 3714, 37673, 1083, 236743, 236800, 236770, 236761, 236825, 236800, 236800, 236812, 236764, 623, 41713, 1083, 753, 236832, 236761, 236819, 236828, 236819, 236828, 19465, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236770, 236810, 236764, 623, 35076, 236779, 5909, 236779, 3456, 1083, 236743, 236770, 236771, 236764, 623, 13647, 1083, 623, 841, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 78928, 1083, 1847, 236764, 623, 6109, 1083, 623, 2368, 131973, 722, 68039, 67924, 827, 623, 43289, 1083, 623, 97875, 827, 623, 12549, 236779, 5909, 1083, 623, 18034, 5135, 236779, 8960, 25938, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 145644, 236779, 54405, 1083, 78493, 1201, 1083, 623, 177285, 33438, 4585, 827, 623, 76562, 1083, 623, 9585, 169945, 32106, 109278, 827, 623, 20845, 1083, 623, 236770, 236778, 236771, 236771, 57480, 827, 623, 12380, 236779, 9707, 1083, 623, 236771, 236761, 236828, 57480, 827, 623, 27923, 1083, 236743, 236800, 236812, 236771, 236771, 1263, 3714, 1201, 1083, 623, 105487, 214389, 827, 623, 76562, 1083, 623, 30185, 31942, 17399, 616, 827, 623, 20845, 1083, 623, 236819, 236810, 236771, 57480, 827, 623, 12380, 236779, 9707, 1083, 623, 236771, 236761, 236825, 236810, 57480, 827, 623, 27923, 1083, 236743, 236778, 236770, 236771, 236771, 1263, 3714, 1201, 1083, 623, 120761, 31093, 17468, 827, 623, 76562, 1083, 623, 23720, 793, 140226, 2805, 785, 827, 623, 20845, 1083, 623, 236832, 236828, 236771, 57480, 827, 623, 12380, 236779, 9707, 1083, 623, 236771, 236761, 236810, 57480, 827, 623, 27923, 1083, 236743, 236770, 236828, 236771, 236771, 104960, 623, 53298, 1083, 3714, 4002, 236779, 17846, 1083, 236743, 236810, 236771, 236764, 623, 4002, 236779, 10617, 1083, 236743, 236771, 236764, 623, 6725, 236779, 54405, 1083, 236743, 236770, 236778, 236832, 236764, 623, 4874, 236779, 10617, 1083, 236743, 236810, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 67722, 1938, 573, 822, 9226, 2197, 91624, 2460, 528, 181238, 236787, 108, 1018, 128996, 98823, 229414, 53121, 107, 236772, 5213, 2368, 131973, 722, 68039, 67924, 1018, 568, 17844, 5853, 236787, 219055, 236770, 236778, 236800, 236812, 236810, 236768, 107, 138, 236772, 13863, 236787, 122484, 236772, 8960, 107, 138, 236772, 40279, 236787, 32173, 107, 138, 236772, 21617, 236787, 17463, 569, 759, 21427, 236764, 181238, 568, 236812, 236761, 236828, 240281, 14470, 236768, 108, 1018, 13517, 8231, 236772, 21998, 28636, 53121, 107, 236770, 236761, 26382, 31698, 833, 133806, 568, 236812, 236761, 236825, 240281, 236768, 107, 236778, 236761, 555, 144833, 29223, 833, 82637, 568, 236812, 236761, 236832, 240281, 236768, 108, 1018, 13149, 58887, 580, 7607, 46811, 155208, 4224, 53121, 107, 236770, 236761, 5213, 9585, 169945, 32106, 109278, 1018, 753, 623, 177285, 33438, 4585, 236775, 568, 236770, 236778, 236771, 236771, 57480, 5542, 236768, 107, 236778, 236761, 5213, 30185, 31942, 17399, 616, 1018, 753, 623, 105487, 214389, 236775, 568, 236819, 236810, 236771, 57480, 5542, 236768, 107, 236800, 236761, 5213, 23720, 793, 140226, 2805, 785, 1018, 753, 623, 120761, 31093, 17468, 236775, 568, 236832, 236828, 236771, 57480, 5542, 236768, 108, 9208, 11421, 1451, 2847, 7516, 9226, 4403, 573, 822, 2460, 236761, 21284, 611, 1133, 1601, 68657, 19573, 6799, 3342, 653, 22260, 3530, 1610, 12434, 3835, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 43204, 496, 21205, 1699, 1041, 4993, 1984, 623, 19256, 236779, 93571, 827, 6130, 2440, 5431, 236764, 9626, 236764, 2608, 236772, 73260, 236764, 532, 97460, 73666, 568, 80353, 236786, 27832, 779, 532, 10467, 1463, 623, 23243, 31309, 11493, 7430, 236775, 1581, 3635, 564, 3782, 236789, 236745, 17506, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52463, 236779, 547, 1083, 623, 12994, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 827, 623, 4818, 1083, 623, 19631, 827, 623, 114105, 1083, 623, 23243, 31309, 11493, 7430, 827, 623, 28042, 1083, 623, 19256, 236779, 93571, 827, 623, 55283, 1083, 623, 21692, 236764, 9626, 236764, 2608, 236772, 73260, 236764, 97460, 73666, 568, 80353, 236786, 27832, 22730, 623, 14210, 1083, 623, 34355, 7835, 573, 4993, 1984, 756, 19256, 236779, 93571, 236789, 568, 14210, 236787, 34689, 4981, 711, 10778, 16291, 236783, 106, 107, 105, 4368, 107, 11069, 21205, 815, 1010, 10428, 7835, 607, 506, 2269, 4889, 236787, 108, 1018, 30582, 53121, 5054, 31309, 11493, 7430, 138, 107, 1018, 85720, 53121, 1070, 236779, 93571, 138, 107, 1018, 74356, 53121, 5431, 236764, 9626, 236764, 2608, 236772, 73260, 236764, 97460, 73666, 568, 80353, 236786, 27832, 236768, 138, 108, 236829, 10282, 236787, 92535, 22136, 4993, 1984, 623, 19256, 236779, 93571, 236775, 568, 176331, 4981, 711, 10778, 163765, 108, 34355, 5853, 236787, 15870, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 138, 107, 3048, 740, 1161, 672, 5853, 531, 33205, 653, 5577, 822, 2354, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107, 105, 2364, 107, 236777, 1202, 506, 7383, 13245, 89439, 236789, 2434, 5853, 531, 5510, 573, 496, 9626, 2939, 657, 215949, 24933, 236761, 3199, 611, 8091, 910, 23769, 4698, 8283, 1699, 506, 4338, 2434, 5853, 236881, 564, 1461, 531, 1586, 506, 1447, 3662, 573, 506, 29353, 236789, 236751, 9626, 7920, 236761, 106, 107, 105, 4368, 107, 236777, 6303, 496, 2307, 45058, 8389, 236787, 5213, 1364, 12057, 4698, 1018, 568, 236744, 236761, 236759, 1126, 16810, 236764, 16326, 26601, 236768, 659, 711, 506, 4338, 19722, 573, 5213, 540, 13419, 9626, 10681, 84750, 669, 9626, 7920, 657, 215949, 24933, 563, 10542, 21112, 699, 506, 21637, 2434, 236789, 236751, 23769, 4698, 236761, 236743, 108, 47622, 236764, 564, 3914, 9128, 506, 7383, 13245, 89439, 236789, 2434, 5853, 1699, 506, 6436, 3847, 236761, 669, 2165, 68925, 236779, 1364, 5179, 236779, 14992, 2643, 236929, 5904, 42182, 531, 2165, 236770, 236812, 236810, 8347, 840, 672, 563, 5213, 2217, 23535, 1018, 531, 577, 506, 4338, 5853, 573, 506, 89439, 236764, 532, 1581, 768, 625, 964, 236764, 625, 1093, 711, 2847, 9626, 7920, 19722, 236761, 108, 1018, 211199, 53121, 138, 107, 2021, 5510, 573, 496, 9626, 2939, 657, 215949, 24933, 236764, 3662, 506, 5213, 123803, 1716, 24933, 50390, 653, 11096, 18238, 7920, 5467, 1018, 4323, 236787, 107, 236772, 21124, 236787, 870, 2769, 236761, 136673, 9964, 236761, 854, 236786, 144573, 5457, 2574, 1411, 2769, 236761, 136673, 9964, 236761, 854, 236786, 144573, 236768, 138, 107, 236772, 23386, 236787, 568, 236800, 236778, 236800, 236768, 236743, 236778, 236778, 236812, 236772, 236771, 236771, 236771, 236771, 568, 891, 573, 506, 623, 130913, 27194, 236775, 2434, 769, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 66582, 496, 3618, 531, 910, 18341, 2434, 236888, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 496, 63510, 4553, 12262, 573, 215949, 24933, 18341, 237028, 14170, 2926, 531, 822, 21205, 532, 6130, 236761, 564, 236789, 859, 2514, 625, 5707, 840, 1982, 236764, 1133, 611, 236789, 236753, 1461, 236787, 138, 108, 7243, 138, 107, 1018, 21288, 53121, 40675, 27180, 12518, 1271, 64685, 8404, 870, 9008, 7343, 236842, 1271, 92535, 5853, 236787, 15870, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 138, 108, 31163, 24933, 27194, 10765, 236764, 138, 108, 4754, 1463, 563, 64685, 8404, 870, 9008, 7343, 1604, 532, 564, 236858, 236757, 496, 5054, 31309, 10704, 607, 236743, 236770, 236771, 236862, 1518, 529, 4916, 236772, 498, 5431, 532, 9626, 2707, 236764, 2440, 71192, 69650, 236764, 12214, 3797, 236764, 532, 10056, 128942, 236761, 564, 236858, 560, 11744, 1041, 21205, 568, 1735, 236787, 15870, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 236768, 58237, 1041, 97460, 73666, 568, 80353, 236786, 27832, 779, 2608, 236772, 73260, 3213, 236764, 532, 31044, 981, 79975, 237028, 55283, 564, 236858, 236753, 5510, 6842, 531, 1894, 215949, 24933, 236858, 236751, 6675, 236761, 138, 108, 2205, 496, 51359, 89439, 8340, 532, 3399, 4374, 236764, 564, 236858, 236757, 27322, 531, 13157, 531, 496, 10056, 564, 236858, 560, 120899, 573, 2338, 18918, 236761, 564, 236858, 236753, 8349, 506, 6584, 531, 3249, 1217, 1041, 1695, 100146, 607, 822, 2434, 236858, 236751, 3548, 236761, 138, 108, 14782, 611, 573, 822, 990, 237028, 236777, 1385, 4448, 531, 822, 15148, 236761, 138, 107, 162293, 236764, 138, 107, 204227, 8404, 870, 9008, 7343, 236842, 138, 107, 236769, 236800, 236770, 236771, 236768, 47943, 236772, 32503, 1109, 870, 11069, 19955, 236842, 138, 107, 7243, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 625, 20843, 573, 14361, 653, 531, 37837, 3530, 6130, 568, 236744, 236761, 236759, 1126, 623, 89653, 14143, 236775, 653, 623, 14992, 26937, 4248, 44096, 531, 5039, 1056, 611, 659, 236761, 106, 107, 105, 4368, 107, 11069, 4553, 12262, 563, 5213, 45437, 236764, 36443, 236764, 532, 70650, 20756, 822, 7798, 6130, 1018, 237028, 50936, 573, 496, 29353, 9626, 3853, 236761, 564, 236858, 560, 1603, 5213, 811, 9875, 100257, 1018, 573, 29972, 568, 15640, 524, 3426, 236768, 532, 10778, 784, 180399, 659, 15195, 17024, 236787, 108, 7243, 108, 1018, 21288, 53121, 40675, 27180, 12518, 1271, 64685, 8404, 870, 9008, 7343, 236842, 1271, 92535, 5853, 236787, 15870, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 138, 108, 31163, 24933, 27194, 10765, 236764, 138, 108, 4754, 1463, 563, 64685, 8404, 870, 9008, 7343, 1604, 532, 564, 236858, 236757, 496, 5054, 31309, 10704, 607, 236743, 236770, 236771, 236862, 1518, 529, 4916, 236772, 498, 5431, 532, 9626, 2707, 236764, 2440, 71192, 69650, 236764, 12214, 3797, 236764, 532, 10056, 128942, 236761, 564, 236858, 560, 11744, 1041, 21205, 568, 1735, 236787, 5213, 12994, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 119542, 58237, 1041, 97460, 73666, 568, 80353, 236786, 27832, 779, 2608, 236772, 73260, 3213, 236764, 532, 31044, 981, 79975, 237028, 55283, 564, 236858, 236753, 5510, 6842, 531, 1894, 215949, 24933, 236858, 236751, 6675, 236761, 138, 108, 2205, 496, 51359, 89439, 8340, 532, 3399, 4374, 236764, 564, 236858, 236757, 27322, 531, 13157, 531, 496, 10056, 564, 236858, 560, 120899, 573, 2338, 18918, 236761, 564, 236858, 236753, 8349, 506, 6584, 531, 3249, 1217, 1041, 1695, 100146, 607, 822, 2434, 236858, 236751, 3548, 236761, 138, 108, 14782, 611, 573, 822, 990, 237028, 236777, 1385, 4448, 531, 822, 15148, 236761, 138, 107, 162293, 236764, 138, 107, 204227, 8404, 870, 9008, 7343, 236842, 138, 107, 236769, 236800, 236770, 236771, 236768, 47943, 236772, 32503, 1109, 870, 11069, 19955, 236842, 138, 108, 7243, 108, 10354, 113452, 9533, 15955, 236787, 107, 236772, 44629, 5213, 236775, 179686, 128942, 236775, 1018, 531, 37386, 9626, 11104, 568, 25541, 29353, 6675, 769, 107, 236772, 160431, 61343, 623, 65448, 981, 79975, 236775, 211983, 568, 68020, 25832, 684, 2707, 769, 107, 236772, 5460, 693, 822, 5213, 236763, 53300, 20622, 1018, 532, 5213, 37939, 5603, 1018, 237028, 39633, 573, 2263, 26972, 236761, 108, 10354, 236743, 242083, 12067, 6555, 236787, 107, 236770, 236761, 5213, 42762, 41706, 1018, 607, 822, 5396, 4889, 236761, 107, 236778, 236761, 5213, 57588, 506, 21205, 1018, 568, 1735, 236787, 15870, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 236768, 1056, 15656, 236761, 107, 236800, 236761, 5213, 15617, 531, 66515, 870, 144573, 236940, 136673, 9964, 236761, 854, 5457, 36440, 236787, 144573, 236940, 136673, 9964, 236761, 854, 236768, 653, 4323, 506, 870, 123803, 9964, 125951, 40392, 5457, 2574, 1411, 2769, 236761, 136673, 9964, 236761, 854, 236786, 144573, 769, 108, 30134, 625, 5213, 495, 14361, 1018, 653, 20843, 573, 5213, 89653, 14143, 236786, 14992, 26937, 1018, 236881, 564, 236858, 859, 59638, 625, 26310, 236761, 44096, 531, 5039, 236881, 236743, 242015, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 43204, 496, 21205, 1699, 1041, 4993, 1984, 623, 19256, 236779, 93571, 827, 6130, 2440, 5431, 236764, 9626, 236764, 2608, 236772, 73260, 236764, 532, 97460, 73666, 568, 80353, 236786, 27832, 779, 532, 10467, 1463, 623, 23243, 31309, 11493, 7430, 236775, 1581, 3635, 564, 3782, 236789, 236745, 17506, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 52463, 236779, 547, 1083, 623, 12994, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 827, 623, 4818, 1083, 623, 19631, 827, 623, 114105, 1083, 623, 23243, 31309, 11493, 7430, 827, 623, 28042, 1083, 623, 19256, 236779, 93571, 827, 623, 55283, 1083, 623, 21692, 236764, 9626, 236764, 2608, 236772, 73260, 236764, 97460, 73666, 568, 80353, 236786, 27832, 22730, 623, 14210, 1083, 623, 34355, 7835, 573, 4993, 1984, 756, 19256, 236779, 93571, 236789, 568, 14210, 236787, 34689, 4981, 711, 10778, 16291, 236783, 106, 107, 105, 4368, 107, 11069, 21205, 815, 1010, 10428, 7835, 607, 506, 2269, 4889, 236787, 108, 1018, 30582, 53121, 5054, 31309, 11493, 7430, 138, 107, 1018, 85720, 53121, 1070, 236779, 93571, 138, 107, 1018, 74356, 53121, 5431, 236764, 9626, 236764, 2608, 236772, 73260, 236764, 97460, 73666, 568, 80353, 236786, 27832, 236768, 138, 108, 236829, 10282, 236787, 92535, 22136, 4993, 1984, 623, 19256, 236779, 93571, 236775, 568, 176331, 4981, 711, 10778, 163765, 108, 34355, 5853, 236787, 15870, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 138, 107, 3048, 740, 1161, 672, 5853, 531, 33205, 653, 5577, 822, 2354, 236761, 3792, 786, 1281, 768, 611, 1202, 3342, 30981, 236888, 106, 107, 105, 2364, 107, 236777, 1202, 506, 7383, 13245, 89439, 236789, 2434, 5853, 531, 5510, 573, 496, 9626, 2939, 657, 215949, 24933, 236761, 3199, 611, 8091, 910, 23769, 4698, 8283, 1699, 506, 4338, 2434, 5853, 236881, 564, 1461, 531, 1586, 506, 1447, 3662, 573, 506, 29353, 236789, 236751, 9626, 7920, 236761, 106, 107, 105, 4368, 107, 236777, 6303, 496, 2307, 45058, 8389, 236787, 5213, 1364, 12057, 4698, 1018, 568, 236744, 236761, 236759, 1126, 16810, 236764, 16326, 26601, 236768, 659, 711, 506, 4338, 19722, 573, 5213, 540, 13419, 9626, 10681, 84750, 669, 9626, 7920, 657, 215949, 24933, 563, 10542, 21112, 699, 506, 21637, 2434, 236789, 236751, 23769, 4698, 236761, 236743, 108, 47622, 236764, 564, 3914, 9128, 506, 7383, 13245, 89439, 236789, 2434, 5853, 1699, 506, 6436, 3847, 236761, 669, 2165, 68925, 236779, 1364, 5179, 236779, 14992, 2643, 236929, 5904, 42182, 531, 2165, 236770, 236812, 236810, 8347, 840, 672, 563, 5213, 2217, 23535, 1018, 531, 577, 506, 4338, 5853, 573, 506, 89439, 236764, 532, 1581, 768, 625, 964, 236764, 625, 1093, 711, 2847, 9626, 7920, 19722, 236761, 108, 1018, 211199, 53121, 138, 107, 2021, 5510, 573, 496, 9626, 2939, 657, 215949, 24933, 236764, 3662, 506, 5213, 123803, 1716, 24933, 50390, 653, 11096, 18238, 7920, 5467, 1018, 4323, 236787, 107, 236772, 21124, 236787, 870, 2769, 236761, 136673, 9964, 236761, 854, 236786, 144573, 5457, 2574, 1411, 2769, 236761, 136673, 9964, 236761, 854, 236786, 144573, 236768, 138, 107, 236772, 23386, 236787, 568, 236800, 236778, 236800, 236768, 236743, 236778, 236778, 236812, 236772, 236771, 236771, 236771, 236771, 568, 891, 573, 506, 623, 130913, 27194, 236775, 2434, 769, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 1601, 66582, 496, 3618, 531, 910, 18341, 2434, 236888, 106, 107, 105, 2364, 107, 8291, 236789, 236751, 496, 63510, 4553, 12262, 573, 215949, 24933, 18341, 237028, 14170, 2926, 531, 822, 21205, 532, 6130, 236761, 564, 236789, 859, 2514, 625, 5707, 840, 1982, 236764, 1133, 611, 236789, 236753, 1461, 236787, 138, 108, 7243, 138, 107, 1018, 21288, 53121, 40675, 27180, 12518, 1271, 64685, 8404, 870, 9008, 7343, 236842, 1271, 92535, 5853, 236787, 15870, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 138, 108, 31163, 24933, 27194, 10765, 236764, 138, 108, 4754, 1463, 563, 64685, 8404, 870, 9008, 7343, 1604, 532, 564, 236858, 236757, 496, 5054, 31309, 10704, 607, 236743, 236770, 236771, 236862, 1518, 529, 4916, 236772, 498, 5431, 532, 9626, 2707, 236764, 2440, 71192, 69650, 236764, 12214, 3797, 236764, 532, 10056, 128942, 236761, 564, 236858, 560, 11744, 1041, 21205, 568, 1735, 236787, 15870, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 236768, 58237, 1041, 97460, 73666, 568, 80353, 236786, 27832, 779, 2608, 236772, 73260, 3213, 236764, 532, 31044, 981, 79975, 237028, 55283, 564, 236858, 236753, 5510, 6842, 531, 1894, 215949, 24933, 236858, 236751, 6675, 236761, 138, 108, 2205, 496, 51359, 89439, 8340, 532, 3399, 4374, 236764, 564, 236858, 236757, 27322, 531, 13157, 531, 496, 10056, 564, 236858, 560, 120899, 573, 2338, 18918, 236761, 564, 236858, 236753, 8349, 506, 6584, 531, 3249, 1217, 1041, 1695, 100146, 607, 822, 2434, 236858, 236751, 3548, 236761, 138, 108, 14782, 611, 573, 822, 990, 237028, 236777, 1385, 4448, 531, 822, 15148, 236761, 138, 107, 162293, 236764, 138, 107, 204227, 8404, 870, 9008, 7343, 236842, 138, 107, 236769, 236800, 236770, 236771, 236768, 47943, 236772, 32503, 1109, 870, 11069, 19955, 236842, 138, 107, 7243, 138, 108, 6481, 786, 1281, 768, 611, 236858, 236753, 1133, 625, 20843, 573, 14361, 653, 531, 37837, 3530, 6130, 568, 236744, 236761, 236759, 1126, 623, 89653, 14143, 236775, 653, 623, 14992, 26937, 4248, 44096, 531, 5039, 1056, 611, 659, 236761, 106, 107, 105, 4368, 107, 11069, 4553, 12262, 563, 5213, 45437, 236764, 36443, 236764, 532, 70650, 20756, 822, 7798, 6130, 1018, 237028, 50936, 573, 496, 29353, 9626, 3853, 236761, 564, 236858, 560, 1603, 5213, 811, 9875, 100257, 1018, 573, 29972, 568, 15640, 524, 3426, 236768, 532, 10778, 784, 180399, 659, 15195, 17024, 236787, 108, 7243, 108, 1018, 21288, 53121, 40675, 27180, 12518, 1271, 64685, 8404, 870, 9008, 7343, 236842, 1271, 92535, 5853, 236787, 15870, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 138, 108, 31163, 24933, 27194, 10765, 236764, 138, 108, 4754, 1463, 563, 64685, 8404, 870, 9008, 7343, 1604, 532, 564, 236858, 236757, 496, 5054, 31309, 10704, 607, 236743, 236770, 236771, 236862, 1518, 529, 4916, 236772, 498, 5431, 532, 9626, 2707, 236764, 2440, 71192, 69650, 236764, 12214, 3797, 236764, 532, 10056, 128942, 236761, 564, 236858, 560, 11744, 1041, 21205, 568, 1735, 236787, 5213, 12994, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 119542, 58237, 1041, 97460, 73666, 568, 80353, 236786, 27832, 779, 2608, 236772, 73260, 3213, 236764, 532, 31044, 981, 79975, 237028, 55283, 564, 236858, 236753, 5510, 6842, 531, 1894, 215949, 24933, 236858, 236751, 6675, 236761, 138, 108, 2205, 496, 51359, 89439, 8340, 532, 3399, 4374, 236764, 564, 236858, 236757, 27322, 531, 13157, 531, 496, 10056, 564, 236858, 560, 120899, 573, 2338, 18918, 236761, 564, 236858, 236753, 8349, 506, 6584, 531, 3249, 1217, 1041, 1695, 100146, 607, 822, 2434, 236858, 236751, 3548, 236761, 138, 108, 14782, 611, 573, 822, 990, 237028, 236777, 1385, 4448, 531, 822, 15148, 236761, 138, 107, 162293, 236764, 138, 107, 204227, 8404, 870, 9008, 7343, 236842, 138, 107, 236769, 236800, 236770, 236771, 236768, 47943, 236772, 32503, 1109, 870, 11069, 19955, 236842, 138, 108, 7243, 108, 10354, 113452, 9533, 15955, 236787, 107, 236772, 44629, 5213, 236775, 179686, 128942, 236775, 1018, 531, 37386, 9626, 11104, 568, 25541, 29353, 6675, 769, 107, 236772, 160431, 61343, 623, 65448, 981, 79975, 236775, 211983, 568, 68020, 25832, 684, 2707, 769, 107, 236772, 5460, 693, 822, 5213, 236763, 53300, 20622, 1018, 532, 5213, 37939, 5603, 1018, 237028, 39633, 573, 2263, 26972, 236761, 108, 10354, 236743, 242083, 12067, 6555, 236787, 107, 236770, 236761, 5213, 42762, 41706, 1018, 607, 822, 5396, 4889, 236761, 107, 236778, 236761, 5213, 57588, 506, 21205, 1018, 568, 1735, 236787, 15870, 236772, 236778, 236771, 236778, 236812, 236772, 236771, 236771, 236770, 236768, 1056, 15656, 236761, 107, 236800, 236761, 5213, 15617, 531, 66515, 870, 144573, 236940, 136673, 9964, 236761, 854, 5457, 36440, 236787, 144573, 236940, 136673, 9964, 236761, 854, 236768, 653, 4323, 506, 870, 123803, 9964, 125951, 40392, 5457, 2574, 1411, 2769, 236761, 136673, 9964, 236761, 854, 236786, 144573, 769, 108, 30134, 625, 5213, 495, 14361, 1018, 653, 20843, 573, 5213, 89653, 14143, 236786, 14992, 26937, 1018, 236881, 564, 236858, 859, 59638, 625, 26310, 236761, 44096, 531, 5039, 236881, 236743, 242015, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 496, 21355, 3182, 531, 11327, 16106, 236772, 41889, 6828, 3835, 573, 1041, 20130, 15771, 236761, 28344, 611, 1601, 786, 1586, 8775, 653, 129075, 4596, 531, 506, 5526, 7095, 236881, 564, 236789, 236753, 1133, 531, 3540, 910, 3736, 532, 4652, 20183, 531, 1386, 13819, 9886, 32769, 607, 1041, 26167, 4867, 7545, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 22037, 1083, 623, 2808, 1565, 236761, 2371, 827, 623, 1201, 1083, 623, 236747, 83857, 17354, 42622, 78165, 827, 623, 35992, 1083, 623, 7742, 236771, 236771, 236799, 236812, 236798, 236810, 236874, 236819, 236828, 236800, 827, 623, 22248, 1083, 623, 6907, 30392, 827, 623, 32677, 1083, 3714, 236770, 236874, 236779, 2060, 1083, 236743, 236819, 236761, 236778, 236764, 623, 236800, 236874, 236779, 2060, 1083, 236743, 236825, 236761, 236828, 236764, 623, 236810, 236874, 236779, 2060, 1083, 236743, 236832, 236761, 236770, 1263, 623, 37716, 236779, 13330, 1083, 3714, 23771, 236779, 95253, 1083, 236743, 236770, 236778, 236761, 236812, 236764, 623, 99053, 635, 236779, 28350, 1083, 236743, 236771, 236761, 236810, 236828, 1263, 623, 101970, 236779, 28350, 1083, 236743, 236771, 236761, 236770, 236810, 236764, 623, 13308, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 151332, 236772, 527, 23179, 3714, 22037, 1083, 623, 236847, 24084, 236836, 236761, 236798, 827, 623, 1201, 1083, 623, 236847, 57849, 5554, 10668, 78165, 827, 623, 35992, 1083, 623, 7742, 236771, 236771, 236799, 236800, 236847, 236771, 64240, 236832, 236825, 827, 623, 22248, 1083, 623, 236847, 57849, 827, 623, 32677, 1083, 3714, 236770, 236874, 236779, 2060, 1083, 236743, 236828, 236761, 236810, 236764, 623, 236800, 236874, 236779, 2060, 1083, 236743, 236832, 236761, 236778, 236764, 623, 236810, 236874, 236779, 2060, 1083, 236743, 236825, 236761, 236819, 1263, 623, 37716, 236779, 13330, 1083, 3714, 23771, 236779, 95253, 1083, 236743, 236770, 236770, 236761, 236828, 236764, 623, 99053, 635, 236779, 28350, 1083, 236743, 236771, 236761, 236825, 236770, 1263, 623, 101970, 236779, 28350, 1083, 236743, 236771, 236761, 236770, 236778, 236764, 623, 13308, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 36322, 7313, 236772, 236752, 23179, 3714, 22037, 1083, 623, 49128, 236847, 827, 623, 1201, 1083, 623, 19924, 10668, 13466, 47026, 11446, 7560, 9642, 827, 623, 35992, 1083, 623, 3118, 236812, 236832, 236828, 236770, 236770, 236800, 236770, 236771, 236832, 236771, 827, 623, 22248, 1083, 623, 3112, 6718, 12232, 827, 623, 32677, 1083, 3714, 236770, 236874, 236779, 2060, 1083, 236743, 236828, 236761, 236819, 236764, 623, 236800, 236874, 236779, 2060, 1083, 236743, 236825, 236761, 236810, 236764, 623, 236810, 236874, 236779, 2060, 1083, 236743, 236832, 236761, 236800, 1263, 623, 37716, 236779, 13330, 1083, 3714, 23771, 236779, 95253, 1083, 236743, 236770, 236800, 236761, 236770, 236764, 623, 99053, 635, 236779, 28350, 1083, 236743, 236771, 236761, 236810, 236810, 1263, 623, 101970, 236779, 28350, 1083, 236743, 236771, 236761, 236770, 236800, 236764, 623, 13308, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 18765, 236766, 25938, 1604, 623, 2763, 37755, 1083, 623, 52277, 1262, 9282, 3068, 3736, 532, 563, 711, 53850, 529, 3402, 7623, 236761, 32180, 19455, 9255, 2721, 580, 236743, 236800, 236772, 3704, 11858, 1262, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1806, 16106, 236772, 41889, 78165, 3835, 9273, 573, 26167, 13177, 236764, 3008, 607, 910, 2307, 19455, 236787, 108, 236770, 236761, 5213, 236847, 57849, 5554, 10668, 78165, 568, 236847, 24084, 236836, 236761, 236798, 62902, 138, 107, 139, 236772, 5213, 236770, 236874, 236786, 236800, 236874, 236786, 236810, 236874, 15543, 53121, 236743, 236828, 236761, 236810, 236908, 965, 236743, 236832, 236761, 236778, 236908, 965, 236743, 236825, 236761, 236819, 236908, 138, 107, 139, 236772, 5213, 71398, 29520, 53121, 13029, 164069, 236743, 236770, 236770, 236761, 236828, 568, 976, 43866, 779, 119546, 66814, 236743, 236771, 236761, 236825, 236770, 568, 22468, 4652, 236772, 79442, 7623, 236768, 138, 107, 139, 236772, 5213, 93743, 66814, 53121, 236743, 236771, 236761, 236770, 236778, 236908, 568, 117835, 2157, 236768, 138, 107, 139, 236772, 5213, 11355, 14066, 53121, 8890, 7002, 529, 9958, 7623, 532, 2708, 4652, 236764, 7436, 573, 26167, 11298, 236761, 138, 108, 236778, 236761, 5213, 236747, 83857, 17354, 42622, 78165, 568, 2808, 1565, 236761, 2371, 62902, 138, 107, 139, 236772, 5213, 236770, 236874, 236786, 236800, 236874, 236786, 236810, 236874, 15543, 53121, 236743, 236819, 236761, 236778, 236908, 965, 236743, 236825, 236761, 236828, 236908, 965, 236743, 236832, 236761, 236770, 236908, 138, 107, 139, 236772, 5213, 71398, 29520, 53121, 13029, 164069, 236743, 236770, 236778, 236761, 236812, 568, 114292, 43866, 779, 119546, 66814, 236743, 236771, 236761, 236810, 236828, 138, 107, 139, 236772, 5213, 93743, 66814, 53121, 236743, 236771, 236761, 236770, 236810, 236908, 138, 107, 139, 236772, 5213, 11355, 14066, 53121, 172669, 3715, 2822, 236772, 6061, 7623, 840, 919, 37590, 1082, 782, 24084, 236836, 236761, 236798, 236761, 138, 108, 236800, 236761, 5213, 19924, 10668, 13466, 47026, 11446, 7560, 9642, 568, 49128, 236847, 62902, 138, 107, 139, 236772, 5213, 236770, 236874, 236786, 236800, 236874, 236786, 236810, 236874, 15543, 53121, 236743, 236828, 236761, 236819, 236908, 965, 236743, 236825, 236761, 236810, 236908, 965, 236743, 236832, 236761, 236800, 236908, 138, 107, 139, 236772, 5213, 71398, 29520, 53121, 13029, 164069, 236743, 236770, 236800, 236761, 236770, 568, 78353, 43866, 779, 119546, 66814, 236743, 236771, 236761, 236810, 236810, 138, 107, 139, 236772, 5213, 93743, 66814, 53121, 236743, 236771, 236761, 236770, 236800, 236908, 138, 107, 139, 236772, 5213, 11355, 14066, 53121, 27717, 1440, 236772, 6061, 7623, 840, 3715, 4652, 5483, 531, 506, 3496, 236761, 138, 108, 1018, 211199, 53121, 138, 107, 2542, 496, 26167, 4313, 236764, 5213, 236847, 24084, 236836, 236761, 236798, 1018, 11979, 855, 2779, 531, 1061, 12132, 119546, 7232, 568, 37716, 236772, 79442, 7623, 236768, 532, 14723, 12412, 236761, 1637, 611, 236789, 236753, 1133, 19276, 3671, 529, 1027, 3055, 568, 236744, 236761, 236759, 1126, 54561, 236764, 3530, 4652, 5872, 779, 1531, 786, 1281, 236888, 138, 108, 236829, 10282, 236787, 20349, 3736, 1677, 711, 15246, 3402, 2536, 236761, 31246, 1966, 822, 4652, 26759, 532, 6618, 496, 4867, 39031, 768, 4354, 9603, 106, 107, 105, 2364, 107, 30092, 611, 2847, 496, 9813, 25890, 529, 506, 97757, 5554, 10668, 78165, 568, 236847, 24084, 236836, 236761, 236798, 20625, 564, 236858, 236753, 1133, 531, 3050, 1061, 3530, 54561, 236764, 6828, 7545, 236764, 532, 1027, 4767, 4652, 5872, 711, 7438, 528, 506, 12323, 236761, 1773, 496, 21355, 236764, 564, 1550, 29624, 532, 1461, 531, 5330, 672, 100146, 607, 1041, 26167, 4313, 531, 1440, 236772, 6061, 11646, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25627, 236779, 1201, 1083, 623, 236847, 57849, 5554, 10668, 78165, 568, 236847, 24084, 236836, 236761, 236798, 22730, 623, 76975, 236779, 87685, 1083, 623, 89783, 506, 3736, 529, 506, 210117, 6322, 5554, 10668, 13291, 236764, 19541, 580, 4699, 14076, 528, 16106, 3211, 236764, 3019, 236764, 532, 102985, 10498, 623, 101970, 236779, 28350, 1083, 236743, 236771, 236761, 236770, 236778, 236764, 623, 37716, 236779, 13330, 1083, 3714, 16350, 236779, 37716, 1083, 623, 13238, 10885, 531, 16106, 7095, 43866, 827, 623, 155215, 236779, 37716, 1083, 623, 201382, 3251, 12126, 532, 21212, 23437, 827, 623, 130498, 236779, 37716, 1083, 623, 4330, 6078, 10681, 528, 2455, 236772, 5565, 30142, 4699, 23179, 623, 3991, 236779, 2840, 1013, 1083, 11058, 236776, 10815, 133312, 79249, 568, 236770, 236828, 236761, 236778, 11376, 827, 623, 22297, 151881, 35501, 213473, 79249, 568, 236770, 236810, 236761, 236832, 11376, 827, 623, 165251, 501, 8875, 7952, 833, 2372, 236761, 751, 25003, 236776, 568, 236770, 236778, 236761, 236812, 11376, 827, 623, 29097, 144749, 17692, 568, 236770, 236770, 236761, 236819, 11376, 14255, 623, 33686, 236779, 2763, 56785, 1083, 3714, 22775, 14475, 236779, 37716, 1083, 623, 19503, 4398, 6376, 12376, 5542, 5483, 531, 6674, 2436, 129075, 827, 623, 27617, 236779, 37716, 1083, 623, 59262, 531, 109384, 532, 35594, 15130, 30217, 827, 623, 236751, 152405, 236779, 13330, 1083, 623, 166920, 86101, 13682, 4596, 531, 30142, 6429, 7797, 10154, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 25890, 529, 506, 5213, 236847, 57849, 5554, 10668, 78165, 568, 236847, 24084, 236836, 236761, 236798, 62902, 36443, 531, 822, 28304, 618, 496, 26167, 236764, 1440, 236772, 6061, 29311, 236787, 108, 7243, 108, 10354, 5213, 116075, 34428, 1018, 138, 107, 236772, 5213, 86865, 53121, 82678, 506, 808, 5352, 9575, 6322, 5554, 10668, 13291, 30237, 19541, 580, 5213, 188964, 3211, 236764, 3019, 236764, 532, 102985, 84750, 138, 107, 236772, 5213, 147609, 53121, 10089, 2232, 10542, 236764, 42351, 531, 53785, 506, 3546, 236858, 236751, 3736, 684, 7046, 496, 14441, 5498, 529, 1061, 26936, 236761, 138, 108, 7243, 108, 10354, 5213, 8534, 53234, 568, 164865, 30235, 62902, 138, 107, 818, 3055, 563, 18677, 32581, 8797, 2455, 236772, 5565, 236764, 27768, 12659, 30142, 532, 16106, 4699, 236787, 138, 107, 236770, 236761, 5213, 236776, 10815, 133312, 79249, 568, 236770, 236828, 236761, 236778, 11376, 1018, 1271, 562, 4185, 8575, 528, 106084, 532, 29842, 48703, 236761, 138, 107, 236778, 236761, 5213, 22297, 151881, 35501, 213473, 79249, 568, 236770, 236810, 236761, 236832, 11376, 1018, 1271, 30235, 507, 580, 30460, 236764, 22397, 17591, 236764, 532, 11713, 16106, 236761, 138, 107, 236800, 236761, 5213, 165251, 501, 8875, 7952, 833, 2372, 236761, 751, 25003, 236776, 568, 236770, 236778, 236761, 236812, 11376, 1018, 1271, 10624, 5411, 528, 88174, 3211, 532, 3019, 236761, 138, 107, 236812, 236761, 5213, 29097, 144749, 17692, 568, 236770, 236770, 236761, 236819, 11376, 1018, 1271, 46627, 1277, 528, 9331, 11682, 236764, 188593, 568, 236773, 2308, 236802, 779, 532, 106084, 236761, 138, 108, 1018, 10282, 53121, 669, 1903, 236743, 236812, 54561, 2881, 573, 5213, 236995, 236810, 236828, 236908, 529, 506, 15771, 125546, 17674, 5213, 130498, 4652, 1018, 528, 2455, 236772, 5565, 123836, 14601, 236761, 1174, 1451, 88866, 43866, 768, 17286, 653, 21212, 23437, 4100, 1239, 18597, 236761, 108, 7243, 108, 10354, 5213, 3503, 132163, 531, 14066, 1018, 138, 107, 8409, 506, 3055, 100146, 607, 26167, 12466, 236764, 1239, 13682, 12691, 5700, 236787, 138, 107, 236770, 236761, 5213, 190705, 32180, 1018, 138, 107, 139, 236772, 669, 16106, 7095, 13799, 18487, 55170, 699, 17882, 568, 236744, 236761, 236759, 1126, 5290, 21212, 33624, 528, 506, 749, 236761, 236773, 2701, 30722, 769, 138, 107, 139, 236772, 14691, 236787, 150207, 532, 115812, 735, 17175, 21212, 23437, 528, 1237, 16106, 3797, 236761, 138, 108, 236778, 236761, 5213, 154469, 1830, 32180, 1018, 138, 107, 139, 236772, 7178, 6078, 528, 2455, 236772, 5565, 123836, 1149, 4576, 77557, 6417, 5483, 531, 25898, 16106, 129075, 236761, 138, 108, 236800, 236761, 5213, 51574, 32180, 1018, 138, 107, 139, 236772, 80292, 531, 109384, 532, 35594, 30217, 568, 25142, 54561, 659, 13336, 6322, 236786, 42377, 4699, 769, 138, 108, 236812, 236761, 5213, 68058, 14475, 32180, 1018, 138, 107, 139, 236772, 26959, 4398, 6376, 12376, 5542, 75720, 237704, 236810, 236964, 236770, 236771, 236792, 236768, 5483, 531, 6674, 236772, 16350, 129075, 1133, 782, 17578, 236761, 1174, 1451, 2080, 531, 17865, 13700, 236772, 891, 52249, 1913, 2436, 5013, 236761, 138, 108, 236810, 236761, 5213, 200249, 132163, 1018, 138, 107, 139, 236772, 90434, 13682, 4596, 531, 30142, 6429, 21896, 568, 236744, 236761, 236759, 1126, 8646, 4100, 529, 5290, 11675, 236764, 30426, 73476, 769, 138, 108, 7243, 108, 10354, 5213, 11355, 1174, 145982, 5180, 57577, 34428, 1018, 138, 107, 236772, 5213, 26834, 11117, 53121, 81675, 7232, 529, 5213, 236771, 236761, 236770, 236778, 236908, 1018, 568, 943, 2389, 1082, 22074, 10542, 8775, 769, 138, 107, 236772, 5213, 122926, 53234, 53121, 30235, 580, 6697, 236764, 30627, 236772, 106094, 47941, 607, 51687, 8216, 17752, 568, 236744, 236761, 236759, 1126, 150207, 236858, 236751, 236743, 236778, 236761, 236810, 236908, 30627, 6422, 769, 138, 107, 236772, 5213, 164865, 54482, 134035, 53121, 84007, 17014, 532, 17044, 5933, 15067, 1894, 1440, 236772, 6061, 5056, 573, 16106, 3019, 236761, 138, 108, 7243, 108, 10354, 5213, 17667, 75042, 1018, 138, 107, 818, 5213, 236847, 24084, 236836, 236761, 236798, 1018, 5469, 496, 75885, 236764, 2708, 236772, 13769, 7234, 1131, 506, 16106, 7095, 607, 10885, 531, 3956, 5670, 236761, 3153, 236764, 1061, 8499, 528, 123836, 532, 17286, 17511, 2820, 625, 1374, 14125, 237028, 2217, 41932, 237028, 236746, 73012, 15771, 236761, 1701, 3742, 11646, 236764, 1966, 39364, 625, 607, 496, 6674, 236772, 16350, 78165, 568, 236744, 236761, 236759, 1126, 4185, 16960, 3546, 3055, 236768, 531, 7002, 7095, 236772, 15396, 13682, 236761, 138, 108, 38786, 611, 1133, 496, 9960, 529, 782, 24084, 236836, 236761, 236798, 607, 1032, 16106, 129075, 568, 236744, 236761, 236759, 1126, 13962, 1565, 236761, 2371, 236768, 531, 3342, 59638, 822, 4893, 236881, 106, 107, 105, 2364, 107, 30092, 611, 10769, 506, 5213, 236847, 57849, 5554, 10668, 78165, 568, 236847, 24084, 236836, 236761, 236798, 62902, 607, 506, 5213, 236747, 83857, 17354, 42622, 78165, 568, 2808, 1565, 236761, 2371, 62902, 1699, 11858, 3736, 1262, 699, 506, 3068, 236743, 236810, 1518, 236881, 564, 236858, 236753, 1133, 531, 1460, 1217, 901, 236858, 560, 6984, 1913, 2436, 30217, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236771, 236778, 236771, 10248, 236764, 236743, 236778, 236771, 236778, 236778, 3136, 71634, 236768, 531, 2480, 5608, 910, 11646, 532, 35691, 236761, 1773, 496, 26167, 29311, 236764, 6611, 910, 6868, 528, 87451, 236751, 1093, 1601, 786, 10741, 837, 100146, 2480, 607, 1041, 4652, 26759, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 2305, 2478, 573, 13962, 1565, 236761, 2371, 14255, 623, 29995, 1083, 3714, 181278, 838, 594, 1083, 623, 46456, 236743, 236770, 236828, 236778, 236810, 2668, 573, 236743, 236810, 236772, 3704, 3671, 236764, 2506, 236743, 236800, 236825, 236810, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 11205, 1083, 623, 2808, 1565, 236761, 2371, 827, 623, 124977, 236779, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 48515, 236779, 9707, 1083, 236743, 236812, 236810, 236761, 236825, 236832, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236764, 623, 32677, 1083, 10955, 236770, 236761, 236778, 236810, 171446, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236770, 827, 623, 48515, 236779, 9707, 1083, 236743, 236812, 236825, 236761, 236771, 236778, 236764, 623, 20845, 1083, 236743, 236770, 236800, 236778, 236771, 236771, 236771, 236764, 623, 32677, 1083, 10955, 236771, 236761, 236832, 236825, 171446, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 48515, 236779, 9707, 1083, 236743, 236812, 236828, 236761, 236800, 236812, 236764, 623, 20845, 1083, 236743, 236770, 236812, 236832, 236771, 236771, 236771, 236764, 623, 32677, 1083, 9296, 236771, 236761, 236800, 236800, 171446, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 48515, 236779, 9707, 1083, 236743, 236812, 236828, 236761, 236770, 236828, 236764, 623, 20845, 1083, 236743, 236770, 236812, 236770, 236771, 236771, 236771, 236764, 623, 32677, 1083, 10955, 236771, 236761, 236770, 236810, 236908, 25938, 1604, 623, 2289, 236779, 23735, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236771, 531, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 14210, 1083, 623, 2100, 5132, 6376, 16996, 6527, 236764, 5542, 236764, 532, 3736, 19455, 573, 858, 83857, 17354, 42622, 78165, 568, 2808, 1565, 236761, 2371, 236768, 1024, 506, 15633, 236743, 236800, 236825, 236810, 236772, 1496, 2846, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11205, 1083, 623, 236847, 24084, 236836, 236761, 236798, 827, 623, 2289, 236779, 23735, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236770, 236772, 236771, 236770, 531, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 32248, 1083, 623, 32320, 827, 623, 124977, 236779, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 9707, 1083, 3714, 5265, 1083, 236743, 236810, 236771, 236761, 236778, 236810, 236764, 623, 11480, 1083, 236743, 236810, 236770, 236761, 236770, 236764, 623, 976, 1083, 236743, 236812, 236819, 236761, 236828, 236764, 623, 5977, 1083, 236743, 236810, 236771, 236761, 236832, 236810, 1263, 623, 20845, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 236764, 623, 32677, 1083, 3714, 32320, 236779, 2060, 1083, 236743, 236771, 236761, 236771, 236771, 236812, 236810, 236764, 623, 147147, 236779, 2060, 1083, 236743, 236771, 236761, 236771, 236771, 236812, 236810, 5237, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236800, 236772, 236778, 236771, 827, 623, 9707, 1083, 3714, 5265, 1083, 236743, 236812, 236778, 236761, 236770, 236764, 623, 11480, 1083, 236743, 236812, 236800, 236761, 236810, 236764, 623, 976, 1083, 236743, 236812, 236770, 236761, 236800, 236764, 623, 5977, 1083, 236743, 236812, 236778, 236761, 236819, 1263, 623, 20845, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 32677, 1083, 3714, 32320, 236779, 2060, 1083, 753, 236771, 236761, 236771, 236778, 236828, 236764, 623, 147147, 236779, 2060, 1083, 753, 236771, 236761, 236770, 236810, 5237, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 9707, 1083, 3714, 5265, 1083, 236743, 236812, 236828, 236761, 236832, 236810, 236764, 623, 11480, 1083, 236743, 236812, 236819, 236761, 236778, 236764, 623, 976, 1083, 236743, 236812, 236832, 236761, 236810, 236764, 623, 5977, 1083, 236743, 236812, 236828, 236761, 236770, 1263, 623, 20845, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236764, 623, 32677, 1083, 3714, 32320, 236779, 2060, 1083, 753, 236771, 236761, 236771, 236770, 236778, 236764, 623, 147147, 236779, 2060, 1083, 236743, 236771, 236761, 236771, 236810, 1807, 1604, 623, 32677, 236779, 6011, 1083, 3714, 236755, 107384, 1083, 236743, 236771, 236761, 236771, 236825, 236778, 236764, 623, 23771, 236779, 95253, 1083, 236743, 236771, 236761, 236770, 236778, 236764, 623, 2074, 236779, 6736, 3843, 1083, 753, 236771, 236761, 236778, 236778, 236764, 623, 99053, 635, 236779, 28350, 1083, 236743, 236771, 236761, 236810, 236778, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 11205, 1083, 623, 2808, 1565, 236761, 2371, 827, 623, 1516, 1083, 3714, 2289, 236779, 23735, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236825, 236772, 236778, 236771, 531, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 124977, 236779, 62938, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236800, 236772, 236778, 236771, 827, 623, 9707, 1083, 236743, 236778, 236828, 236761, 236812, 236810, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236764, 623, 16350, 236779, 19216, 1083, 623, 87546, 5133, 14533, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 9707, 1083, 236743, 236800, 236812, 236761, 236770, 236778, 236764, 623, 20845, 1083, 236743, 236819, 236828, 236771, 236771, 236771, 236764, 623, 16350, 236779, 19216, 1083, 623, 21796, 156084, 22053, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 9707, 1083, 236743, 236812, 236770, 236761, 236828, 236764, 623, 20845, 1083, 236743, 236832, 236825, 236771, 236771, 236771, 236764, 623, 16350, 236779, 19216, 1083, 623, 122926, 12726, 25938, 1604, 623, 32677, 236779, 29263, 1083, 3714, 236810, 236779, 3704, 236779, 236755, 107384, 1083, 236743, 236832, 236761, 236828, 236764, 623, 2074, 236779, 6736, 3843, 1083, 753, 236778, 236778, 236761, 236800, 236764, 623, 99053, 635, 236779, 28350, 1083, 236743, 236771, 236761, 236825, 236810, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31898, 3671, 529, 5213, 236847, 24084, 236836, 236761, 236798, 1018, 532, 5213, 2808, 1565, 236761, 2371, 1018, 1024, 506, 3068, 236743, 236810, 1518, 236764, 19541, 580, 2307, 2436, 5013, 13443, 532, 4652, 236772, 79442, 3736, 236787, 108, 7243, 108, 10354, 5213, 3503, 116589, 36520, 1018, 107, 236909, 5213, 84276, 1018, 151, 236909, 5213, 236847, 24084, 236836, 236761, 236798, 568, 236847, 57849, 62902, 142, 236909, 5213, 2808, 1565, 236761, 2371, 568, 236747, 83857, 62902, 142, 236909, 107, 236909, 2819, 24912, 236909, 2819, 12857, 236909, 2819, 12857, 236909, 107, 236909, 5213, 236810, 236772, 16431, 146106, 1018, 147, 236909, 236743, 236825, 236761, 236778, 236908, 159, 236909, 236743, 236832, 236761, 236828, 236908, 159, 236909, 107, 236909, 5213, 8554, 22705, 3843, 1018, 146, 236909, 753, 236778, 236778, 236908, 568, 236778, 236771, 236778, 236771, 10248, 236768, 143, 236909, 753, 236778, 236778, 236761, 236800, 236908, 568, 236778, 236771, 236778, 236771, 10248, 236768, 141, 236909, 107, 236909, 5213, 114457, 635, 66814, 1018, 146, 236909, 236743, 236771, 236761, 236810, 236778, 159, 236909, 236743, 236771, 236761, 236825, 236810, 159, 236909, 107, 236909, 5213, 202477, 568, 894, 11062, 62902, 140, 236909, 236743, 236770, 236778, 236908, 160, 236909, 236743, 236770, 236778, 236761, 236812, 236908, 568, 236770, 236874, 779, 236743, 236770, 236800, 236761, 236770, 236908, 568, 236810, 236874, 34561, 236768, 1109, 107, 236909, 5213, 236778, 236771, 236778, 236771, 93508, 14533, 1018, 141, 236909, 609, 236812, 236778, 236761, 236819, 236771, 568, 27393, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236771, 236768, 140, 236909, 609, 236778, 236828, 236761, 236812, 236810, 568, 27393, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236771, 236768, 139, 236909, 107, 236909, 5213, 236778, 236771, 236778, 236778, 25870, 156084, 22053, 1018, 1109, 609, 236812, 236828, 236761, 236770, 236771, 568, 27403, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236778, 236768, 141, 236909, 609, 236800, 236812, 236761, 236770, 236778, 568, 27403, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236778, 236768, 140, 236909, 107, 236909, 5213, 8782, 14584, 568, 236778, 236771, 236778, 236812, 62902, 138, 236909, 609, 236812, 236828, 236761, 236800, 236812, 157, 236909, 609, 236812, 236770, 236761, 236828, 236771, 157, 236909, 108, 7243, 108, 10354, 5213, 52277, 9529, 12726, 43378, 1018, 107, 236770, 236761, 5213, 236778, 236771, 236778, 236771, 93508, 84028, 1018, 138, 107, 139, 236772, 10508, 129075, 9763, 3361, 4988, 108057, 75720, 236778, 236778, 28585, 32427, 7095, 236772, 5462, 4204, 699, 6429, 7797, 86557, 532, 24701, 17591, 236761, 138, 107, 139, 236772, 5213, 2808, 1565, 236761, 2371, 1018, 21919, 11442, 1868, 236772, 236778, 236771, 236778, 236771, 236764, 14208, 684, 496, 15281, 65810, 528, 749, 236761, 236773, 4862, 34807, 16106, 18300, 236761, 138, 108, 236778, 236761, 5213, 236778, 236771, 236778, 236778, 25870, 156084, 6285, 26633, 1018, 138, 107, 139, 236772, 66399, 2142, 6224, 113707, 3877, 236772, 29963, 16106, 18300, 236761, 138, 107, 139, 236772, 5213, 236847, 24084, 236836, 236761, 236798, 1018, 6418, 8427, 2480, 35691, 15554, 236770, 236761, 236778, 236908, 6376, 994, 7728, 236761, 13962, 1565, 236761, 2371, 236858, 236751, 723, 13142, 2093, 840, 145996, 4988, 108057, 769, 138, 107, 139, 236772, 10508, 21919, 684, 236743, 236778, 236771, 236778, 236800, 618, 14440, 59758, 236761, 138, 108, 236800, 236761, 5213, 12059, 236772, 10960, 69489, 1018, 138, 107, 139, 236772, 5213, 2808, 1565, 236761, 2371, 1018, 149862, 607, 496, 5213, 236832, 236761, 236828, 236908, 146106, 1018, 7728, 236761, 5213, 236847, 24084, 236836, 236761, 236798, 236858, 236751, 236743, 236825, 236761, 236778, 236908, 125546, 840, 607, 101196, 3715, 43866, 236761, 138, 107, 139, 236772, 5213, 114457, 635, 66814, 66515, 13962, 1565, 236761, 2371, 568, 236771, 236761, 236825, 236810, 236768, 1890, 782, 24084, 236836, 236761, 236798, 568, 236771, 236761, 236810, 236778, 779, 17674, 2480, 4652, 236772, 79442, 7623, 573, 13962, 1565, 236761, 2371, 236761, 138, 108, 7243, 108, 10354, 5213, 71398, 107452, 573, 57577, 68729, 1018, 107, 236772, 5213, 236847, 24084, 236836, 236761, 236798, 19247, 159517, 66515, 138, 107, 138, 236772, 26959, 43866, 568, 236770, 236778, 236908, 842, 11062, 236768, 532, 10885, 531, 10385, 6693, 123836, 47941, 568, 236744, 236761, 236759, 1126, 150207, 769, 138, 107, 138, 236772, 27026, 46840, 1913, 3136, 71634, 568, 87596, 5542, 528, 236743, 236778, 236771, 236778, 236778, 769, 138, 108, 236772, 5213, 2808, 1565, 236761, 2371, 19247, 159517, 66515, 138, 107, 138, 236772, 27717, 497, 1440, 236772, 6061, 3877, 568, 236832, 236761, 236828, 236908, 146106, 236768, 532, 3715, 119546, 7232, 236761, 138, 107, 138, 236772, 5755, 1877, 42442, 77557, 568, 236836, 236761, 236773, 1126, 11514, 236764, 532, 4185, 54561, 769, 138, 108, 236772, 5213, 50384, 132163, 66515, 138, 107, 138, 236772, 50246, 4204, 568, 236744, 236761, 236759, 1126, 5290, 21212, 33624, 769, 138, 107, 138, 236772, 90011, 528, 2455, 236772, 5565, 123836, 236786, 5353, 61402, 568, 124505, 531, 9737, 7464, 31164, 653, 20333, 62260, 769, 138, 108, 7243, 108, 10354, 5213, 211199, 573, 5180, 57577, 34428, 1018, 107, 236772, 5213, 236847, 24084, 236836, 236761, 236798, 1018, 563, 61250, 768, 611, 56856, 5213, 11462, 43866, 1018, 532, 5213, 15721, 236772, 6061, 11646, 125546, 4285, 1913, 3136, 71634, 653, 46840, 1976, 98674, 236761, 138, 107, 236772, 5213, 2808, 1565, 236761, 2371, 1018, 26818, 1724, 10788, 531, 4242, 5213, 174991, 3715, 43866, 1018, 573, 5213, 22468, 497, 1440, 236772, 6061, 3877, 1018, 532, 2480, 4652, 236772, 79442, 7623, 236761, 138, 108, 2542, 496, 20433, 4313, 236764, 1966, 5213, 17677, 236772, 6078, 522, 1800, 129075, 1018, 531, 95910, 42442, 236786, 155215, 13682, 1651, 43887, 7095, 9743, 134035, 568, 4158, 17014, 236764, 17044, 5933, 5056, 769, 138, 108, 38786, 611, 1133, 496, 7426, 9535, 22020, 910, 236743, 236810, 236772, 3704, 3736, 15067, 653, 496, 19276, 30386, 1131, 910, 54561, 531, 5608, 77557, 236881, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 496, 21355, 3182, 531, 11327, 16106, 236772, 41889, 6828, 3835, 573, 1041, 20130, 15771, 236761, 28344, 611, 1601, 786, 1586, 8775, 653, 129075, 4596, 531, 506, 5526, 7095, 236881, 564, 236789, 236753, 1133, 531, 3540, 910, 3736, 532, 4652, 20183, 531, 1386, 13819, 9886, 32769, 607, 1041, 26167, 4867, 7545, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 2305, 236779, 12103, 1083, 78493, 22037, 1083, 623, 2808, 1565, 236761, 2371, 827, 623, 1201, 1083, 623, 236747, 83857, 17354, 42622, 78165, 827, 623, 35992, 1083, 623, 7742, 236771, 236771, 236799, 236812, 236798, 236810, 236874, 236819, 236828, 236800, 827, 623, 22248, 1083, 623, 6907, 30392, 827, 623, 32677, 1083, 3714, 236770, 236874, 236779, 2060, 1083, 236743, 236819, 236761, 236778, 236764, 623, 236800, 236874, 236779, 2060, 1083, 236743, 236825, 236761, 236828, 236764, 623, 236810, 236874, 236779, 2060, 1083, 236743, 236832, 236761, 236770, 1263, 623, 37716, 236779, 13330, 1083, 3714, 23771, 236779, 95253, 1083, 236743, 236770, 236778, 236761, 236812, 236764, 623, 99053, 635, 236779, 28350, 1083, 236743, 236771, 236761, 236810, 236828, 1263, 623, 101970, 236779, 28350, 1083, 236743, 236771, 236761, 236770, 236810, 236764, 623, 13308, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 151332, 236772, 527, 23179, 3714, 22037, 1083, 623, 236847, 24084, 236836, 236761, 236798, 827, 623, 1201, 1083, 623, 236847, 57849, 5554, 10668, 78165, 827, 623, 35992, 1083, 623, 7742, 236771, 236771, 236799, 236800, 236847, 236771, 64240, 236832, 236825, 827, 623, 22248, 1083, 623, 236847, 57849, 827, 623, 32677, 1083, 3714, 236770, 236874, 236779, 2060, 1083, 236743, 236828, 236761, 236810, 236764, 623, 236800, 236874, 236779, 2060, 1083, 236743, 236832, 236761, 236778, 236764, 623, 236810, 236874, 236779, 2060, 1083, 236743, 236825, 236761, 236819, 1263, 623, 37716, 236779, 13330, 1083, 3714, 23771, 236779, 95253, 1083, 236743, 236770, 236770, 236761, 236828, 236764, 623, 99053, 635, 236779, 28350, 1083, 236743, 236771, 236761, 236825, 236770, 1263, 623, 101970, 236779, 28350, 1083, 236743, 236771, 236761, 236770, 236778, 236764, 623, 13308, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 36322, 7313, 236772, 236752, 23179, 3714, 22037, 1083, 623, 49128, 236847, 827, 623, 1201, 1083, 623, 19924, 10668, 13466, 47026, 11446, 7560, 9642, 827, 623, 35992, 1083, 623, 3118, 236812, 236832, 236828, 236770, 236770, 236800, 236770, 236771, 236832, 236771, 827, 623, 22248, 1083, 623, 3112, 6718, 12232, 827, 623, 32677, 1083, 3714, 236770, 236874, 236779, 2060, 1083, 236743, 236828, 236761, 236819, 236764, 623, 236800, 236874, 236779, 2060, 1083, 236743, 236825, 236761, 236810, 236764, 623, 236810, 236874, 236779, 2060, 1083, 236743, 236832, 236761, 236800, 1263, 623, 37716, 236779, 13330, 1083, 3714, 23771, 236779, 95253, 1083, 236743, 236770, 236800, 236761, 236770, 236764, 623, 99053, 635, 236779, 28350, 1083, 236743, 236771, 236761, 236810, 236810, 1263, 623, 101970, 236779, 28350, 1083, 236743, 236771, 236761, 236770, 236800, 236764, 623, 13308, 236779, 2451, 1083, 623, 2574, 1411, 8358, 236761, 854, 236786, 18765, 236766, 25938, 1604, 623, 2763, 37755, 1083, 623, 52277, 1262, 9282, 3068, 3736, 532, 563, 711, 53850, 529, 3402, 7623, 236761, 32180, 19455, 9255, 2721, 580, 236743, 236800, 236772, 3704, 11858, 1262, 1781, 236783, 106, 107, 105, 4368, 107, 8291, 659, 1806, 16106, 236772, 41889, 78165, 3835, 9273, 573, 26167, 13177, 236764, 3008, 607, 910, 2307, 19455, 236787, 108, 236770, 236761, 5213, 236847, 57849, 5554, 10668, 78165, 568, 236847, 24084, 236836, 236761, 236798, 62902, 138, 107, 139, 236772, 5213, 236770, 236874, 236786, 236800, 236874, 236786, 236810, 236874, 15543, 53121, 236743, 236828, 236761, 236810, 236908, 965, 236743, 236832, 236761, 236778, 236908, 965, 236743, 236825, 236761, 236819, 236908, 138, 107, 139, 236772, 5213, 71398, 29520, 53121, 13029, 164069, 236743, 236770, 236770, 236761, 236828, 568, 976, 43866, 779, 119546, 66814, 236743, 236771, 236761, 236825, 236770, 568, 22468, 4652, 236772, 79442, 7623, 236768, 138, 107, 139, 236772, 5213, 93743, 66814, 53121, 236743, 236771, 236761, 236770, 236778, 236908, 568, 117835, 2157, 236768, 138, 107, 139, 236772, 5213, 11355, 14066, 53121, 8890, 7002, 529, 9958, 7623, 532, 2708, 4652, 236764, 7436, 573, 26167, 11298, 236761, 138, 108, 236778, 236761, 5213, 236747, 83857, 17354, 42622, 78165, 568, 2808, 1565, 236761, 2371, 62902, 138, 107, 139, 236772, 5213, 236770, 236874, 236786, 236800, 236874, 236786, 236810, 236874, 15543, 53121, 236743, 236819, 236761, 236778, 236908, 965, 236743, 236825, 236761, 236828, 236908, 965, 236743, 236832, 236761, 236770, 236908, 138, 107, 139, 236772, 5213, 71398, 29520, 53121, 13029, 164069, 236743, 236770, 236778, 236761, 236812, 568, 114292, 43866, 779, 119546, 66814, 236743, 236771, 236761, 236810, 236828, 138, 107, 139, 236772, 5213, 93743, 66814, 53121, 236743, 236771, 236761, 236770, 236810, 236908, 138, 107, 139, 236772, 5213, 11355, 14066, 53121, 172669, 3715, 2822, 236772, 6061, 7623, 840, 919, 37590, 1082, 782, 24084, 236836, 236761, 236798, 236761, 138, 108, 236800, 236761, 5213, 19924, 10668, 13466, 47026, 11446, 7560, 9642, 568, 49128, 236847, 62902, 138, 107, 139, 236772, 5213, 236770, 236874, 236786, 236800, 236874, 236786, 236810, 236874, 15543, 53121, 236743, 236828, 236761, 236819, 236908, 965, 236743, 236825, 236761, 236810, 236908, 965, 236743, 236832, 236761, 236800, 236908, 138, 107, 139, 236772, 5213, 71398, 29520, 53121, 13029, 164069, 236743, 236770, 236800, 236761, 236770, 568, 78353, 43866, 779, 119546, 66814, 236743, 236771, 236761, 236810, 236810, 138, 107, 139, 236772, 5213, 93743, 66814, 53121, 236743, 236771, 236761, 236770, 236800, 236908, 138, 107, 139, 236772, 5213, 11355, 14066, 53121, 27717, 1440, 236772, 6061, 7623, 840, 3715, 4652, 5483, 531, 506, 3496, 236761, 138, 108, 1018, 211199, 53121, 138, 107, 2542, 496, 26167, 4313, 236764, 5213, 236847, 24084, 236836, 236761, 236798, 1018, 11979, 855, 2779, 531, 1061, 12132, 119546, 7232, 568, 37716, 236772, 79442, 7623, 236768, 532, 14723, 12412, 236761, 1637, 611, 236789, 236753, 1133, 19276, 3671, 529, 1027, 3055, 568, 236744, 236761, 236759, 1126, 54561, 236764, 3530, 4652, 5872, 779, 1531, 786, 1281, 236888, 138, 108, 236829, 10282, 236787, 20349, 3736, 1677, 711, 15246, 3402, 2536, 236761, 31246, 1966, 822, 4652, 26759, 532, 6618, 496, 4867, 39031, 768, 4354, 9603, 106, 107, 105, 2364, 107, 30092, 611, 2847, 496, 9813, 25890, 529, 506, 97757, 5554, 10668, 78165, 568, 236847, 24084, 236836, 236761, 236798, 20625, 564, 236858, 236753, 1133, 531, 3050, 1061, 3530, 54561, 236764, 6828, 7545, 236764, 532, 1027, 4767, 4652, 5872, 711, 7438, 528, 506, 12323, 236761, 1773, 496, 21355, 236764, 564, 1550, 29624, 532, 1461, 531, 5330, 672, 100146, 607, 1041, 26167, 4313, 531, 1440, 236772, 6061, 11646, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 25627, 236779, 1201, 1083, 623, 236847, 57849, 5554, 10668, 78165, 568, 236847, 24084, 236836, 236761, 236798, 22730, 623, 76975, 236779, 87685, 1083, 623, 89783, 506, 3736, 529, 506, 210117, 6322, 5554, 10668, 13291, 236764, 19541, 580, 4699, 14076, 528, 16106, 3211, 236764, 3019, 236764, 532, 102985, 10498, 623, 101970, 236779, 28350, 1083, 236743, 236771, 236761, 236770, 236778, 236764, 623, 37716, 236779, 13330, 1083, 3714, 16350, 236779, 37716, 1083, 623, 13238, 10885, 531, 16106, 7095, 43866, 827, 623, 155215, 236779, 37716, 1083, 623, 201382, 3251, 12126, 532, 21212, 23437, 827, 623, 130498, 236779, 37716, 1083, 623, 4330, 6078, 10681, 528, 2455, 236772, 5565, 30142, 4699, 23179, 623, 3991, 236779, 2840, 1013, 1083, 11058, 236776, 10815, 133312, 79249, 568, 236770, 236828, 236761, 236778, 11376, 827, 623, 22297, 151881, 35501, 213473, 79249, 568, 236770, 236810, 236761, 236832, 11376, 827, 623, 165251, 501, 8875, 7952, 833, 2372, 236761, 751, 25003, 236776, 568, 236770, 236778, 236761, 236812, 11376, 827, 623, 29097, 144749, 17692, 568, 236770, 236770, 236761, 236819, 11376, 14255, 623, 33686, 236779, 2763, 56785, 1083, 3714, 22775, 14475, 236779, 37716, 1083, 623, 19503, 4398, 6376, 12376, 5542, 5483, 531, 6674, 2436, 129075, 827, 623, 27617, 236779, 37716, 1083, 623, 59262, 531, 109384, 532, 35594, 15130, 30217, 827, 623, 236751, 152405, 236779, 13330, 1083, 623, 166920, 86101, 13682, 4596, 531, 30142, 6429, 7797, 10154, 127096, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 9813, 25890, 529, 506, 5213, 236847, 57849, 5554, 10668, 78165, 568, 236847, 24084, 236836, 236761, 236798, 62902, 36443, 531, 822, 28304, 618, 496, 26167, 236764, 1440, 236772, 6061, 29311, 236787, 108, 7243, 108, 10354, 5213, 116075, 34428, 1018, 138, 107, 236772, 5213, 86865, 53121, 82678, 506, 808, 5352, 9575, 6322, 5554, 10668, 13291, 30237, 19541, 580, 5213, 188964, 3211, 236764, 3019, 236764, 532, 102985, 84750, 138, 107, 236772, 5213, 147609, 53121, 10089, 2232, 10542, 236764, 42351, 531, 53785, 506, 3546, 236858, 236751, 3736, 684, 7046, 496, 14441, 5498, 529, 1061, 26936, 236761, 138, 108, 7243, 108, 10354, 5213, 8534, 53234, 568, 164865, 30235, 62902, 138, 107, 818, 3055, 563, 18677, 32581, 8797, 2455, 236772, 5565, 236764, 27768, 12659, 30142, 532, 16106, 4699, 236787, 138, 107, 236770, 236761, 5213, 236776, 10815, 133312, 79249, 568, 236770, 236828, 236761, 236778, 11376, 1018, 1271, 562, 4185, 8575, 528, 106084, 532, 29842, 48703, 236761, 138, 107, 236778, 236761, 5213, 22297, 151881, 35501, 213473, 79249, 568, 236770, 236810, 236761, 236832, 11376, 1018, 1271, 30235, 507, 580, 30460, 236764, 22397, 17591, 236764, 532, 11713, 16106, 236761, 138, 107, 236800, 236761, 5213, 165251, 501, 8875, 7952, 833, 2372, 236761, 751, 25003, 236776, 568, 236770, 236778, 236761, 236812, 11376, 1018, 1271, 10624, 5411, 528, 88174, 3211, 532, 3019, 236761, 138, 107, 236812, 236761, 5213, 29097, 144749, 17692, 568, 236770, 236770, 236761, 236819, 11376, 1018, 1271, 46627, 1277, 528, 9331, 11682, 236764, 188593, 568, 236773, 2308, 236802, 779, 532, 106084, 236761, 138, 108, 1018, 10282, 53121, 669, 1903, 236743, 236812, 54561, 2881, 573, 5213, 236995, 236810, 236828, 236908, 529, 506, 15771, 125546, 17674, 5213, 130498, 4652, 1018, 528, 2455, 236772, 5565, 123836, 14601, 236761, 1174, 1451, 88866, 43866, 768, 17286, 653, 21212, 23437, 4100, 1239, 18597, 236761, 108, 7243, 108, 10354, 5213, 3503, 132163, 531, 14066, 1018, 138, 107, 8409, 506, 3055, 100146, 607, 26167, 12466, 236764, 1239, 13682, 12691, 5700, 236787, 138, 107, 236770, 236761, 5213, 190705, 32180, 1018, 138, 107, 139, 236772, 669, 16106, 7095, 13799, 18487, 55170, 699, 17882, 568, 236744, 236761, 236759, 1126, 5290, 21212, 33624, 528, 506, 749, 236761, 236773, 2701, 30722, 769, 138, 107, 139, 236772, 14691, 236787, 150207, 532, 115812, 735, 17175, 21212, 23437, 528, 1237, 16106, 3797, 236761, 138, 108, 236778, 236761, 5213, 154469, 1830, 32180, 1018, 138, 107, 139, 236772, 7178, 6078, 528, 2455, 236772, 5565, 123836, 1149, 4576, 77557, 6417, 5483, 531, 25898, 16106, 129075, 236761, 138, 108, 236800, 236761, 5213, 51574, 32180, 1018, 138, 107, 139, 236772, 80292, 531, 109384, 532, 35594, 30217, 568, 25142, 54561, 659, 13336, 6322, 236786, 42377, 4699, 769, 138, 108, 236812, 236761, 5213, 68058, 14475, 32180, 1018, 138, 107, 139, 236772, 26959, 4398, 6376, 12376, 5542, 75720, 237704, 236810, 236964, 236770, 236771, 236792, 236768, 5483, 531, 6674, 236772, 16350, 129075, 1133, 782, 17578, 236761, 1174, 1451, 2080, 531, 17865, 13700, 236772, 891, 52249, 1913, 2436, 5013, 236761, 138, 108, 236810, 236761, 5213, 200249, 132163, 1018, 138, 107, 139, 236772, 90434, 13682, 4596, 531, 30142, 6429, 21896, 568, 236744, 236761, 236759, 1126, 8646, 4100, 529, 5290, 11675, 236764, 30426, 73476, 769, 138, 108, 7243, 108, 10354, 5213, 11355, 1174, 145982, 5180, 57577, 34428, 1018, 138, 107, 236772, 5213, 26834, 11117, 53121, 81675, 7232, 529, 5213, 236771, 236761, 236770, 236778, 236908, 1018, 568, 943, 2389, 1082, 22074, 10542, 8775, 769, 138, 107, 236772, 5213, 122926, 53234, 53121, 30235, 580, 6697, 236764, 30627, 236772, 106094, 47941, 607, 51687, 8216, 17752, 568, 236744, 236761, 236759, 1126, 150207, 236858, 236751, 236743, 236778, 236761, 236810, 236908, 30627, 6422, 769, 138, 107, 236772, 5213, 164865, 54482, 134035, 53121, 84007, 17014, 532, 17044, 5933, 15067, 1894, 1440, 236772, 6061, 5056, 573, 16106, 3019, 236761, 138, 108, 7243, 108, 10354, 5213, 17667, 75042, 1018, 138, 107, 818, 5213, 236847, 24084, 236836, 236761, 236798, 1018, 5469, 496, 75885, 236764, 2708, 236772, 13769, 7234, 1131, 506, 16106, 7095, 607, 10885, 531, 3956, 5670, 236761, 3153, 236764, 1061, 8499, 528, 123836, 532, 17286, 17511, 2820, 625, 1374, 14125, 237028, 2217, 41932, 237028, 236746, 73012, 15771, 236761, 1701, 3742, 11646, 236764, 1966, 39364, 625, 607, 496, 6674, 236772, 16350, 78165, 568, 236744, 236761, 236759, 1126, 4185, 16960, 3546, 3055, 236768, 531, 7002, 7095, 236772, 15396, 13682, 236761, 138, 108, 38786, 611, 1133, 496, 9960, 529, 782, 24084, 236836, 236761, 236798, 607, 1032, 16106, 129075, 568, 236744, 236761, 236759, 1126, 13962, 1565, 236761, 2371, 236768, 531, 3342, 59638, 822, 4893, 236881, 106, 107, 105, 2364, 107, 30092, 611, 10769, 506, 5213, 236847, 57849, 5554, 10668, 78165, 568, 236847, 24084, 236836, 236761, 236798, 62902, 607, 506, 5213, 236747, 83857, 17354, 42622, 78165, 568, 2808, 1565, 236761, 2371, 62902, 1699, 11858, 3736, 1262, 699, 506, 3068, 236743, 236810, 1518, 236881, 564, 236858, 236753, 1133, 531, 1460, 1217, 901, 236858, 560, 6984, 1913, 2436, 30217, 568, 236744, 236761, 236759, 1126, 236743, 236778, 236771, 236778, 236771, 10248, 236764, 236743, 236778, 236771, 236778, 236778, 3136, 71634, 236768, 531, 2480, 5608, 910, 11646, 532, 35691, 236761, 1773, 496, 26167, 29311, 236764, 6611, 910, 6868, 528, 87451, 236751, 1093, 1601, 786, 10741, 837, 100146, 2480, 607, 1041, 4652, 26759, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1899, 1083, 623, 18331, 5904, 2246, 827, 623, 13308, 1083, 3714, 46691, 1083, 11058, 2305, 2478, 573, 13962, 1565, 236761, 2371, 14255, 623, 29995, 1083, 3714, 181278, 838, 594, 1083, 623, 46456, 236743, 236770, 236828, 236778, 236810, 2668, 573, 236743, 236810, 236772, 3704, 3671, 236764, 2506, 236743, 236800, 236825, 236810, 236775, 19465, 108, 236840, 7741, 11130, 236842, 107, 14937, 11205, 1083, 623, 2808, 1565, 236761, 2371, 827, 623, 124977, 236779, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 48515, 236779, 9707, 1083, 236743, 236812, 236810, 236761, 236825, 236832, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236764, 623, 32677, 1083, 10955, 236770, 236761, 236778, 236810, 171446, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236770, 827, 623, 48515, 236779, 9707, 1083, 236743, 236812, 236825, 236761, 236771, 236778, 236764, 623, 20845, 1083, 236743, 236770, 236800, 236778, 236771, 236771, 236771, 236764, 623, 32677, 1083, 10955, 236771, 236761, 236832, 236825, 171446, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236770, 236819, 827, 623, 48515, 236779, 9707, 1083, 236743, 236812, 236828, 236761, 236800, 236812, 236764, 623, 20845, 1083, 236743, 236770, 236812, 236832, 236771, 236771, 236771, 236764, 623, 32677, 1083, 9296, 236771, 236761, 236800, 236800, 171446, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 48515, 236779, 9707, 1083, 236743, 236812, 236828, 236761, 236770, 236828, 236764, 623, 20845, 1083, 236743, 236770, 236812, 236770, 236771, 236771, 236771, 236764, 623, 32677, 1083, 10955, 236771, 236761, 236770, 236810, 236908, 25938, 1604, 623, 2289, 236779, 23735, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236771, 236825, 236772, 236778, 236771, 531, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 14210, 1083, 623, 2100, 5132, 6376, 16996, 6527, 236764, 5542, 236764, 532, 3736, 19455, 573, 858, 83857, 17354, 42622, 78165, 568, 2808, 1565, 236761, 2371, 236768, 1024, 506, 15633, 236743, 236800, 236825, 236810, 236772, 1496, 2846, 1781, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11205, 1083, 623, 236847, 24084, 236836, 236761, 236798, 827, 623, 2289, 236779, 23735, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236770, 236772, 236771, 236770, 531, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 32248, 1083, 623, 32320, 827, 623, 124977, 236779, 1516, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236770, 236772, 236771, 236770, 827, 623, 9707, 1083, 3714, 5265, 1083, 236743, 236810, 236771, 236761, 236778, 236810, 236764, 623, 11480, 1083, 236743, 236810, 236770, 236761, 236770, 236764, 623, 976, 1083, 236743, 236812, 236819, 236761, 236828, 236764, 623, 5977, 1083, 236743, 236810, 236771, 236761, 236832, 236810, 1263, 623, 20845, 1083, 236743, 236770, 236778, 236771, 236771, 236771, 236771, 236771, 236764, 623, 32677, 1083, 3714, 32320, 236779, 2060, 1083, 236743, 236771, 236761, 236771, 236771, 236812, 236810, 236764, 623, 147147, 236779, 2060, 1083, 236743, 236771, 236761, 236771, 236771, 236812, 236810, 5237, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236800, 236772, 236778, 236771, 827, 623, 9707, 1083, 3714, 5265, 1083, 236743, 236812, 236778, 236761, 236770, 236764, 623, 11480, 1083, 236743, 236812, 236800, 236761, 236810, 236764, 623, 976, 1083, 236743, 236812, 236770, 236761, 236800, 236764, 623, 5977, 1083, 236743, 236812, 236778, 236761, 236819, 1263, 623, 20845, 1083, 236743, 236778, 236810, 236771, 236771, 236771, 236771, 236771, 236764, 623, 32677, 1083, 3714, 32320, 236779, 2060, 1083, 753, 236771, 236761, 236771, 236778, 236828, 236764, 623, 147147, 236779, 2060, 1083, 753, 236771, 236761, 236770, 236810, 5237, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236825, 236772, 236770, 236810, 827, 623, 9707, 1083, 3714, 5265, 1083, 236743, 236812, 236828, 236761, 236832, 236810, 236764, 623, 11480, 1083, 236743, 236812, 236819, 236761, 236778, 236764, 623, 976, 1083, 236743, 236812, 236832, 236761, 236810, 236764, 623, 5977, 1083, 236743, 236812, 236828, 236761, 236770, 1263, 623, 20845, 1083, 236743, 236770, 236828, 236771, 236771, 236771, 236771, 236771, 236764, 623, 32677, 1083, 3714, 32320, 236779, 2060, 1083, 753, 236771, 236761, 236771, 236770, 236778, 236764, 623, 147147, 236779, 2060, 1083, 236743, 236771, 236761, 236771, 236810, 1807, 1604, 623, 32677, 236779, 6011, 1083, 3714, 236755, 107384, 1083, 236743, 236771, 236761, 236771, 236825, 236778, 236764, 623, 23771, 236779, 95253, 1083, 236743, 236771, 236761, 236770, 236778, 236764, 623, 2074, 236779, 6736, 3843, 1083, 753, 236771, 236761, 236778, 236778, 236764, 623, 99053, 635, 236779, 28350, 1083, 236743, 236771, 236761, 236810, 236778, 1807, 108, 236840, 7741, 11130, 236842, 107, 14937, 11205, 1083, 623, 2808, 1565, 236761, 2371, 827, 623, 1516, 1083, 3714, 2289, 236779, 23735, 1083, 623, 236778, 236771, 236770, 236819, 236772, 236771, 236825, 236772, 236778, 236771, 531, 236743, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 124977, 236779, 62938, 1083, 78493, 1896, 1083, 623, 236778, 236771, 236778, 236771, 236772, 236771, 236800, 236772, 236778, 236771, 827, 623, 9707, 1083, 236743, 236778, 236828, 236761, 236812, 236810, 236764, 623, 20845, 1083, 236743, 236770, 236778, 236810, 236771, 236771, 236771, 236764, 623, 16350, 236779, 19216, 1083, 623, 87546, 5133, 14533, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236778, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 9707, 1083, 236743, 236800, 236812, 236761, 236770, 236778, 236764, 623, 20845, 1083, 236743, 236819, 236828, 236771, 236771, 236771, 236764, 623, 16350, 236779, 19216, 1083, 623, 21796, 156084, 22053, 23179, 3714, 1896, 1083, 623, 236778, 236771, 236778, 236812, 236772, 236771, 236825, 236772, 236778, 236771, 827, 623, 9707, 1083, 236743, 236812, 236770, 236761, 236828, 236764, 623, 20845, 1083, 236743, 236832, 236825, 236771, 236771, 236771, 236764, 623, 16350, 236779, 19216, 1083, 623, 122926, 12726, 25938, 1604, 623, 32677, 236779, 29263, 1083, 3714, 236810, 236779, 3704, 236779, 236755, 107384, 1083, 236743, 236832, 236761, 236828, 236764, 623, 2074, 236779, 6736, 3843, 1083, 753, 236778, 236778, 236761, 236800, 236764, 623, 99053, 635, 236779, 28350, 1083, 236743, 236771, 236761, 236825, 236810, 19465, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 496, 31898, 3671, 529, 5213, 236847, 24084, 236836, 236761, 236798, 1018, 532, 5213, 2808, 1565, 236761, 2371, 1018, 1024, 506, 3068, 236743, 236810, 1518, 236764, 19541, 580, 2307, 2436, 5013, 13443, 532, 4652, 236772, 79442, 3736, 236787, 108, 7243, 108, 10354, 5213, 3503, 116589, 36520, 1018, 107, 236909, 5213, 84276, 1018, 151, 236909, 5213, 236847, 24084, 236836, 236761, 236798, 568, 236847, 57849, 62902, 142, 236909, 5213, 2808, 1565, 236761, 2371, 568, 236747, 83857, 62902, 142, 236909, 107, 236909, 2819, 24912, 236909, 2819, 12857, 236909, 2819, 12857, 236909, 107, 236909, 5213, 236810, 236772, 16431, 146106, 1018, 147, 236909, 236743, 236825, 236761, 236778, 236908, 159, 236909, 236743, 236832, 236761, 236828, 236908, 159, 236909, 107, 236909, 5213, 8554, 22705, 3843, 1018, 146, 236909, 753, 236778, 236778, 236908, 568, 236778, 236771, 236778, 236771, 10248, 236768, 143, 236909, 753, 236778, 236778, 236761, 236800, 236908, 568, 236778, 236771, 236778, 236771, 10248, 236768, 141, 236909, 107, 236909, 5213, 114457, 635, 66814, 1018, 146, 236909, 236743, 236771, 236761, 236810, 236778, 159, 236909, 236743, 236771, 236761, 236825, 236810, 159, 236909, 107, 236909, 5213, 202477, 568, 894, 11062, 62902, 140, 236909, 236743, 236770, 236778, 236908, 160, 236909, 236743, 236770, 236778, 236761, 236812, 236908, 568, 236770, 236874, 779, 236743, 236770, 236800, 236761, 236770, 236908, 568, 236810, 236874, 34561, 236768, 1109, 107, 236909, 5213, 236778, 236771, 236778, 236771, 93508, 14533, 1018, 141, 236909, 609, 236812, 236778, 236761, 236819, 236771, 568, 27393, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236771, 236768, 140, 236909, 609, 236778, 236828, 236761, 236812, 236810, 568, 27393, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236771, 236768, 139, 236909, 107, 236909, 5213, 236778, 236771, 236778, 236778, 25870, 156084, 22053, 1018, 1109, 609, 236812, 236828, 236761, 236770, 236771, 568, 27403, 236743, 236770, 236810, 236764, 236743, 236778, 236771, 236778, 236778, 236768, 141, 236909, 609, 236800, 236812, 236761, 236770, 236778, 568, 27403, 236743, 236778, 236771, 236764, 236743, 236778, 236771, 236778, 236778, 236768, 140, 236909, 107, 236909, 5213, 8782, 14584, 568, 236778, 236771, 236778, 236812, 62902, 138, 236909, 609, 236812, 236828, 236761, 236800, 236812, 157, 236909, 609, 236812, 236770, 236761, 236828, 236771, 157, 236909, 108, 7243, 108, 10354, 5213, 52277, 9529, 12726, 43378, 1018, 107, 236770, 236761, 5213, 236778, 236771, 236778, 236771, 93508, 84028, 1018, 138, 107, 139, 236772, 10508, 129075, 9763, 3361, 4988, 108057, 75720, 236778, 236778, 28585, 32427, 7095, 236772, 5462, 4204, 699, 6429, 7797, 86557, 532, 24701, 17591, 236761, 138, 107, 139, 236772, 5213, 2808, 1565, 236761, 2371, 1018, 21919, 11442, 1868, 236772, 236778, 236771, 236778, 236771, 236764, 14208, 684, 496, 15281, 65810, 528, 749, 236761, 236773, 4862, 34807, 16106, 18300, 236761, 138, 108, 236778, 236761, 5213, 236778, 236771, 236778, 236778, 25870, 156084, 6285, 26633, 1018, 138, 107, 139, 236772, 66399, 2142, 6224, 113707, 3877, 236772, 29963, 16106, 18300, 236761, 138, 107, 139, 236772, 5213, 236847, 24084, 236836, 236761, 236798, 1018, 6418, 8427, 2480, 35691, 15554, 236770, 236761, 236778, 236908, 6376, 994, 7728, 236761, 13962, 1565, 236761, 2371, 236858, 236751, 723, 13142, 2093, 840, 145996, 4988, 108057, 769, 138, 107, 139, 236772, 10508, 21919, 684, 236743, 236778, 236771, 236778, 236800, 618, 14440, 59758, 236761, 138, 108, 236800, 236761, 5213, 12059, 236772, 10960, 69489, 1018, 138, 107, 139, 236772, 5213, 2808, 1565, 236761, 2371, 1018, 149862, 607, 496, 5213, 236832, 236761, 236828, 236908, 146106, 1018, 7728, 236761, 5213, 236847, 24084, 236836, 236761, 236798, 236858, 236751, 236743, 236825, 236761, 236778, 236908, 125546, 840, 607, 101196, 3715, 43866, 236761, 138, 107, 139, 236772, 5213, 114457, 635, 66814, 66515, 13962, 1565, 236761, 2371, 568, 236771, 236761, 236825, 236810, 236768, 1890, 782, 24084, 236836, 236761, 236798, 568, 236771, 236761, 236810, 236778, 779, 17674, 2480, 4652, 236772, 79442, 7623, 573, 13962, 1565, 236761, 2371, 236761, 138, 108, 7243, 108, 10354, 5213, 71398, 107452, 573, 57577, 68729, 1018, 107, 236772, 5213, 236847, 24084, 236836, 236761, 236798, 19247, 159517, 66515, 138, 107, 138, 236772, 26959, 43866, 568, 236770, 236778, 236908, 842, 11062, 236768, 532, 10885, 531, 10385, 6693, 123836, 47941, 568, 236744, 236761, 236759, 1126, 150207, 769, 138, 107, 138, 236772, 27026, 46840, 1913, 3136, 71634, 568, 87596, 5542, 528, 236743, 236778, 236771, 236778, 236778, 769, 138, 108, 236772, 5213, 2808, 1565, 236761, 2371, 19247, 159517, 66515, 138, 107, 138, 236772, 27717, 497, 1440, 236772, 6061, 3877, 568, 236832, 236761, 236828, 236908, 146106, 236768, 532, 3715, 119546, 7232, 236761, 138, 107, 138, 236772, 5755, 1877, 42442, 77557, 568, 236836, 236761, 236773, 1126, 11514, 236764, 532, 4185, 54561, 769, 138, 108, 236772, 5213, 50384, 132163, 66515, 138, 107, 138, 236772, 50246, 4204, 568, 236744, 236761, 236759, 1126, 5290, 21212, 33624, 769, 138, 107, 138, 236772, 90011, 528, 2455, 236772, 5565, 123836, 236786, 5353, 61402, 568, 124505, 531, 9737, 7464, 31164, 653, 20333, 62260, 769, 138, 108, 7243, 108, 10354, 5213, 211199, 573, 5180, 57577, 34428, 1018, 107, 236772, 5213, 236847, 24084, 236836, 236761, 236798, 1018, 563, 61250, 768, 611, 56856, 5213, 11462, 43866, 1018, 532, 5213, 15721, 236772, 6061, 11646, 125546, 4285, 1913, 3136, 71634, 653, 46840, 1976, 98674, 236761, 138, 107, 236772, 5213, 2808, 1565, 236761, 2371, 1018, 26818, 1724, 10788, 531, 4242, 5213, 174991, 3715, 43866, 1018, 573, 5213, 22468, 497, 1440, 236772, 6061, 3877, 1018, 532, 2480, 4652, 236772, 79442, 7623, 236761, 138, 108, 2542, 496, 20433, 4313, 236764, 1966, 5213, 17677, 236772, 6078, 522, 1800, 129075, 1018, 531, 95910, 42442, 236786, 155215, 13682, 1651, 43887, 7095, 9743, 134035, 568, 4158, 17014, 236764, 17044, 5933, 5056, 769, 138, 108, 38786, 611, 1133, 496, 7426, 9535, 22020, 910, 236743, 236810, 236772, 3704, 3736, 15067, 653, 496, 19276, 30386, 1131, 910, 54561, 531, 5608, 77557, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 17373, 573, 496, 3435, 18214, 531, 2080, 47818, 532, 1461, 531, 4196, 10448, 580, 3956, 1791, 10154, 236761, 28344, 611, 1586, 10308, 1003, 10319, 11298, 573, 24519, 532, 861, 10952, 528, 8459, 21096, 9626, 236881, 6542, 236764, 564, 236789, 236757, 6995, 496, 7946, 531, 34493, 2148, 2297, 532, 1202, 531, 1281, 506, 1873, 23058, 531, 35594, 14274, 3136, 573, 90352, 8616, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 139388, 528, 44813, 46001, 236787, 147320, 1799, 29287, 573, 71293, 827, 623, 6386, 1083, 623, 9231, 236761, 35649, 151581, 827, 623, 6011, 1083, 623, 20647, 2985, 10319, 11298, 573, 24519, 44173, 12498, 236772, 27612, 59533, 528, 8459, 7846, 10498, 623, 2451, 1083, 623, 2574, 1411, 71758, 145439, 236761, 854, 236786, 117548, 236772, 17470, 236772, 49701, 23179, 3714, 3250, 1083, 623, 49789, 74823, 40675, 236787, 199018, 11096, 145655, 607, 63640, 827, 623, 6386, 1083, 623, 29518, 15416, 827, 623, 6011, 1083, 623, 154572, 507, 16217, 10319, 4681, 26614, 6672, 12974, 6130, 607, 37247, 236772, 25475, 45819, 9626, 10498, 623, 2451, 1083, 623, 2574, 1411, 71332, 15837, 31524, 236761, 2187, 236786, 90987, 236772, 117548, 23179, 3714, 3250, 1083, 623, 91293, 506, 53575, 236787, 14232, 57146, 528, 19380, 40675, 46001, 827, 623, 6386, 1083, 623, 192481, 587, 236785, 236756, 236771, 236771, 236760, 738, 1898, 827, 623, 6011, 1083, 623, 9818, 5254, 580, 6595, 10319, 1913, 25477, 531, 51229, 9496, 568, 1425, 236768, 6436, 528, 11879, 9626, 10498, 623, 2451, 1083, 623, 2574, 1411, 78024, 236812, 236771, 31725, 236761, 854, 236786, 516, 236772, 118047, 25938, 1604, 623, 103411, 236779, 17846, 1083, 236743, 236800, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 4720, 1083, 236743, 236771, 236761, 236819, 236800, 236810, 236778, 236764, 623, 107642, 236779, 13304, 1083, 236743, 236771, 236761, 236819, 236800, 236810, 236778, 236764, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 5405, 564, 1765, 573, 822, 18214, 12652, 532, 34493, 7946, 236787, 108, 1018, 139388, 833, 20467, 10856, 39009, 53121, 107, 236770, 236761, 5213, 139388, 528, 44813, 46001, 1018, 138, 107, 139, 236829, 9231, 236761, 35649, 151581, 236829, 138, 107, 139, 20647, 2985, 12498, 236772, 27612, 59533, 12434, 528, 8459, 7846, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 71758, 145439, 236761, 854, 236786, 117548, 236772, 17470, 236772, 49701, 236768, 108, 236778, 236761, 5213, 49789, 74823, 40675, 1018, 138, 107, 139, 236829, 29518, 15416, 236829, 138, 107, 139, 154572, 507, 16217, 4681, 26614, 6672, 6130, 607, 37247, 236772, 25475, 45819, 9626, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 71332, 15837, 31524, 236761, 2187, 236786, 90987, 236772, 117548, 236768, 108, 236800, 236761, 5213, 32106, 57146, 528, 40675, 1018, 138, 107, 139, 236829, 192481, 71503, 236829, 138, 107, 139, 9818, 5254, 580, 8886, 6436, 22109, 528, 11879, 9626, 7974, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 78024, 236812, 236771, 31725, 236761, 854, 236786, 516, 236772, 118047, 236768, 108, 1018, 38556, 531, 35594, 67292, 25870, 568, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 1473, 1018, 138, 107, 236770, 23058, 578, 236743, 236771, 236761, 236819, 236800, 236810, 236778, 35594, 138, 108, 2094, 3136, 795, 1601, 611, 2731, 822, 34493, 7715, 236761, 58041, 1149, 130712, 236764, 834, 611, 2473, 1461, 531, 2426, 1570, 12532, 531, 822, 4301, 3433, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 236777, 236789, 236757, 17373, 573, 496, 3435, 18214, 531, 2080, 47818, 532, 1461, 531, 4196, 10448, 580, 3956, 1791, 10154, 236761, 28344, 611, 1586, 10308, 1003, 10319, 11298, 573, 24519, 532, 861, 10952, 528, 8459, 21096, 9626, 236881, 6542, 236764, 564, 236789, 236757, 6995, 496, 7946, 531, 34493, 2148, 2297, 532, 1202, 531, 1281, 506, 1873, 23058, 531, 35594, 14274, 3136, 573, 90352, 8616, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 24948, 1083, 78493, 3250, 1083, 623, 139388, 528, 44813, 46001, 236787, 147320, 1799, 29287, 573, 71293, 827, 623, 6386, 1083, 623, 9231, 236761, 35649, 151581, 827, 623, 6011, 1083, 623, 20647, 2985, 10319, 11298, 573, 24519, 44173, 12498, 236772, 27612, 59533, 528, 8459, 7846, 10498, 623, 2451, 1083, 623, 2574, 1411, 71758, 145439, 236761, 854, 236786, 117548, 236772, 17470, 236772, 49701, 23179, 3714, 3250, 1083, 623, 49789, 74823, 40675, 236787, 199018, 11096, 145655, 607, 63640, 827, 623, 6386, 1083, 623, 29518, 15416, 827, 623, 6011, 1083, 623, 154572, 507, 16217, 10319, 4681, 26614, 6672, 12974, 6130, 607, 37247, 236772, 25475, 45819, 9626, 10498, 623, 2451, 1083, 623, 2574, 1411, 71332, 15837, 31524, 236761, 2187, 236786, 90987, 236772, 117548, 23179, 3714, 3250, 1083, 623, 91293, 506, 53575, 236787, 14232, 57146, 528, 19380, 40675, 46001, 827, 623, 6386, 1083, 623, 192481, 587, 236785, 236756, 236771, 236771, 236760, 738, 1898, 827, 623, 6011, 1083, 623, 9818, 5254, 580, 6595, 10319, 1913, 25477, 531, 51229, 9496, 568, 1425, 236768, 6436, 528, 11879, 9626, 10498, 623, 2451, 1083, 623, 2574, 1411, 78024, 236812, 236771, 31725, 236761, 854, 236786, 516, 236772, 118047, 25938, 1604, 623, 103411, 236779, 17846, 1083, 236743, 236800, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 4720, 1083, 236743, 236771, 236761, 236819, 236800, 236810, 236778, 236764, 623, 107642, 236779, 13304, 1083, 236743, 236771, 236761, 236819, 236800, 236810, 236778, 236764, 623, 1896, 1083, 623, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 236774, 236770, 236778, 236787, 236771, 236771, 236787, 236771, 236771, 236953, 25938, 106, 107, 105, 4368, 107, 8291, 659, 506, 5405, 564, 1765, 573, 822, 18214, 12652, 532, 34493, 7946, 236787, 108, 1018, 139388, 833, 20467, 10856, 39009, 53121, 107, 236770, 236761, 5213, 139388, 528, 44813, 46001, 1018, 138, 107, 139, 236829, 9231, 236761, 35649, 151581, 236829, 138, 107, 139, 20647, 2985, 12498, 236772, 27612, 59533, 12434, 528, 8459, 7846, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 71758, 145439, 236761, 854, 236786, 117548, 236772, 17470, 236772, 49701, 236768, 108, 236778, 236761, 5213, 49789, 74823, 40675, 1018, 138, 107, 139, 236829, 29518, 15416, 236829, 138, 107, 139, 154572, 507, 16217, 4681, 26614, 6672, 6130, 607, 37247, 236772, 25475, 45819, 9626, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 71332, 15837, 31524, 236761, 2187, 236786, 90987, 236772, 117548, 236768, 108, 236800, 236761, 5213, 32106, 57146, 528, 40675, 1018, 138, 107, 139, 236829, 192481, 71503, 236829, 138, 107, 139, 9818, 5254, 580, 8886, 6436, 22109, 528, 11879, 9626, 7974, 236761, 138, 107, 139, 236840, 6190, 919, 5457, 2574, 1411, 78024, 236812, 236771, 31725, 236761, 854, 236786, 516, 236772, 118047, 236768, 108, 1018, 38556, 531, 35594, 67292, 25870, 568, 236778, 236771, 236778, 236800, 236772, 236770, 236771, 236772, 236770, 236810, 1473, 1018, 138, 107, 236770, 23058, 578, 236743, 236771, 236761, 236819, 236800, 236810, 236778, 35594, 138, 108, 2094, 3136, 795, 1601, 611, 2731, 822, 34493, 7715, 236761, 58041, 1149, 130712, 236764, 834, 611, 2473, 1461, 531, 2426, 1570, 12532, 531, 822, 4301, 3433, 236761, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 29367, 1964, 48561, 16787, 573, 5154, 62606, 756, 5275, 236770, 236778, 236800, 963, 756, 5275, 236812, 236810, 236825, 963, 532, 756, 5275, 236832, 236828, 236819, 103709, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 48561, 3997, 3797, 653, 506, 20478, 531, 29367, 1964, 16787, 236761, 3551, 1873, 15858, 659, 5809, 531, 20150, 44426, 17253, 1699, 506, 566, 236770, 236779, 170274, 5904, 236761, 21284, 611, 1133, 786, 531, 2619, 496, 44426, 3393, 573, 1027, 529, 506, 5154, 62606, 611, 6950, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 30092, 611, 29367, 1964, 48561, 16787, 573, 5154, 62606, 756, 5275, 236770, 236778, 236800, 963, 756, 5275, 236812, 236810, 236825, 963, 532, 756, 5275, 236832, 236828, 236819, 103709, 106, 107, 105, 4368, 107, 236777, 1537, 236789, 236745, 735, 2802, 531, 48561, 3997, 3797, 653, 506, 20478, 531, 29367, 1964, 16787, 236761, 3551, 1873, 15858, 659, 5809, 531, 20150, 44426, 17253, 1699, 506, 566, 236770, 236779, 170274, 5904, 236761, 21284, 611, 1133, 786, 531, 2619, 496, 44426, 3393, 573, 1027, 529, 506, 5154, 62606, 611, 6950, 236881, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1586, 786, 13154, 580, 94345, 600, 659, 1003, 22072, 653, 34499, 129379, 6540, 236764, 532, 1299, 974, 506, 60194, 42703, 4596, 531, 1724, 13154, 236881, 564, 1461, 531, 4024, 1091, 607, 1041, 44393, 507, 531, 1386, 1023, 13721, 919, 21964, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 818, 31016, 236789, 236751, 50104, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 2084, 1083, 623, 21000, 827, 623, 108456, 236779, 547, 1083, 623, 1220, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 13126, 1083, 236743, 236832, 236761, 236828, 236764, 623, 3973, 1083, 11058, 12720, 98881, 827, 623, 65897, 8943, 14255, 623, 7777, 1083, 623, 236776, 101841, 22720, 529, 614, 19042, 236789, 236751, 8991, 532, 147424, 528, 4532, 7299, 221476, 3714, 3250, 1083, 623, 162890, 129379, 28917, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 2084, 1083, 623, 21000, 827, 623, 108456, 236779, 547, 1083, 623, 1220, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 13126, 1083, 236743, 236828, 236761, 236770, 236764, 623, 3973, 1083, 11058, 96630, 72558, 827, 623, 60526, 53415, 14255, 623, 7777, 1083, 623, 162117, 506, 8326, 6540, 532, 4083, 529, 34499, 43008, 1343, 3577, 8511, 1781, 104960, 623, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 547, 1083, 623, 31348, 236770, 236778, 236800, 827, 623, 2451, 1083, 623, 2574, 1411, 10494, 236761, 152532, 236761, 854, 236786, 10494, 236786, 31348, 236770, 236778, 236800, 236786, 152532, 236761, 21729, 827, 623, 7777, 1083, 623, 118856, 21561, 657, 79768, 827, 623, 19112, 1083, 11058, 80563, 827, 623, 190909, 827, 623, 21692, 152254, 3714, 547, 1083, 623, 50526, 236812, 236810, 236825, 827, 623, 2451, 1083, 623, 2574, 1411, 10494, 236761, 152532, 236761, 854, 236786, 10494, 236786, 50526, 236812, 236810, 236825, 236786, 152532, 236761, 21729, 827, 623, 7777, 1083, 623, 81646, 19042, 607, 2651, 5423, 22974, 827, 623, 19112, 1083, 11058, 113230, 827, 623, 105183, 567, 827, 623, 89653, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236828, 236819, 236764, 623, 10617, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236778, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 145644, 236779, 20889, 616, 1083, 78493, 547, 1083, 623, 236759, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 2451, 1083, 623, 2574, 1411, 10494, 236761, 152532, 236761, 854, 236786, 10494, 236786, 236759, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236786, 152532, 236761, 21729, 827, 623, 7777, 1083, 623, 162890, 129379, 8134, 49117, 607, 37017, 4252, 8687, 827, 623, 19112, 1083, 11058, 162890, 43008, 827, 623, 57534, 827, 623, 26873, 152254, 3714, 547, 1083, 623, 236754, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 2451, 1083, 623, 2574, 1411, 10494, 236761, 152532, 236761, 854, 236786, 10494, 236786, 236754, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236786, 152532, 236761, 21729, 827, 623, 7777, 1083, 623, 118856, 34031, 496, 39622, 8659, 3905, 607, 83809, 827, 623, 19112, 1083, 11058, 80563, 827, 623, 17470, 827, 623, 107091, 99471, 1604, 623, 7655, 1083, 3714, 10617, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236778, 236810, 236764, 623, 6725, 1083, 236743, 236770, 236810, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 13154, 532, 4596, 42703, 564, 1765, 236787, 108, 1018, 43553, 580, 94345, 53121, 107, 236770, 236761, 5213, 818, 31016, 236789, 236751, 50104, 1018, 568, 236778, 236771, 236778, 236800, 236768, 138, 107, 139, 236772, 47240, 236787, 236743, 236832, 236761, 236828, 138, 107, 139, 236772, 10184, 236787, 3415, 98881, 236764, 18821, 8943, 138, 107, 139, 236772, 17243, 236787, 562, 101841, 22720, 529, 614, 19042, 236789, 236751, 8991, 532, 147424, 236761, 138, 108, 236778, 236761, 5213, 162890, 129379, 28917, 1018, 568, 236778, 236771, 236778, 236800, 236768, 138, 107, 139, 236772, 47240, 236787, 236743, 236828, 236761, 236770, 138, 107, 139, 236772, 10184, 236787, 24913, 72558, 236764, 17015, 53415, 138, 107, 139, 236772, 17243, 236787, 98717, 34499, 129379, 6540, 1343, 3577, 8511, 236761, 138, 108, 1018, 136971, 179864, 53121, 138, 107, 236770, 236761, 5213, 118856, 236772, 68122, 1018, 138, 107, 139, 236772, 870, 192218, 236787, 31016, 34031, 496, 39622, 8659, 3905, 5457, 2574, 1411, 10494, 236761, 152532, 236761, 854, 236786, 10494, 236786, 50526, 236812, 236810, 236825, 236786, 152532, 236761, 21729, 236768, 138, 107, 139, 236772, 64663, 236787, 997, 80563, 997, 17470, 997, 107091, 138, 108, 236778, 236761, 5213, 162890, 129379, 236772, 68122, 1018, 138, 107, 139, 236772, 870, 192218, 236787, 34499, 129379, 8134, 607, 37017, 4252, 8687, 5457, 2574, 1411, 10494, 236761, 152532, 236761, 854, 236786, 10494, 236786, 236759, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236786, 152532, 236761, 21729, 236768, 138, 107, 139, 236772, 64663, 236787, 997, 162890, 236794, 2486, 997, 57534, 997, 26873, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 506, 21088, 3927, 3342, 653, 1202, 4889, 1003, 1032, 13154, 236888, 103453, 106, 107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 8574, 611, 1586, 786, 13154, 580, 94345, 600, 659, 1003, 22072, 653, 34499, 129379, 6540, 236764, 532, 1299, 974, 506, 60194, 42703, 4596, 531, 1724, 13154, 236881, 564, 1461, 531, 4024, 1091, 607, 1041, 44393, 507, 531, 1386, 1023, 13721, 919, 21964, 236761, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 12103, 1083, 78493, 3250, 1083, 623, 818, 31016, 236789, 236751, 50104, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 2084, 1083, 623, 21000, 827, 623, 108456, 236779, 547, 1083, 623, 1220, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 827, 623, 13126, 1083, 236743, 236832, 236761, 236828, 236764, 623, 3973, 1083, 11058, 12720, 98881, 827, 623, 65897, 8943, 14255, 623, 7777, 1083, 623, 236776, 101841, 22720, 529, 614, 19042, 236789, 236751, 8991, 532, 147424, 528, 4532, 7299, 221476, 3714, 3250, 1083, 623, 162890, 129379, 28917, 827, 623, 3704, 1083, 236743, 236778, 236771, 236778, 236800, 236764, 623, 2084, 1083, 623, 21000, 827, 623, 108456, 236779, 547, 1083, 623, 1220, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 13126, 1083, 236743, 236828, 236761, 236770, 236764, 623, 3973, 1083, 11058, 96630, 72558, 827, 623, 60526, 53415, 14255, 623, 7777, 1083, 623, 162117, 506, 8326, 6540, 532, 4083, 529, 34499, 43008, 1343, 3577, 8511, 1781, 104960, 623, 4000, 1083, 236743, 236770, 236764, 623, 6725, 236779, 11134, 1083, 236743, 236810, 236783, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 1516, 1083, 78493, 547, 1083, 623, 31348, 236770, 236778, 236800, 827, 623, 2451, 1083, 623, 2574, 1411, 10494, 236761, 152532, 236761, 854, 236786, 10494, 236786, 31348, 236770, 236778, 236800, 236786, 152532, 236761, 21729, 827, 623, 7777, 1083, 623, 118856, 21561, 657, 79768, 827, 623, 19112, 1083, 11058, 80563, 827, 623, 190909, 827, 623, 21692, 152254, 3714, 547, 1083, 623, 50526, 236812, 236810, 236825, 827, 623, 2451, 1083, 623, 2574, 1411, 10494, 236761, 152532, 236761, 854, 236786, 10494, 236786, 50526, 236812, 236810, 236825, 236786, 152532, 236761, 21729, 827, 623, 7777, 1083, 623, 81646, 19042, 607, 2651, 5423, 22974, 827, 623, 19112, 1083, 11058, 113230, 827, 623, 105183, 567, 827, 623, 89653, 99471, 1604, 623, 6725, 236779, 12103, 1083, 236743, 236828, 236819, 236764, 623, 10617, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236778, 236810, 236783, 108, 236840, 7741, 11130, 236842, 107, 14937, 145644, 236779, 20889, 616, 1083, 78493, 547, 1083, 623, 236759, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 827, 623, 2451, 1083, 623, 2574, 1411, 10494, 236761, 152532, 236761, 854, 236786, 10494, 236786, 236759, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236786, 152532, 236761, 21729, 827, 623, 7777, 1083, 623, 162890, 129379, 8134, 49117, 607, 37017, 4252, 8687, 827, 623, 19112, 1083, 11058, 162890, 43008, 827, 623, 57534, 827, 623, 26873, 152254, 3714, 547, 1083, 623, 236754, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 827, 623, 2451, 1083, 623, 2574, 1411, 10494, 236761, 152532, 236761, 854, 236786, 10494, 236786, 236754, 236771, 236819, 236828, 236832, 236825, 236810, 236812, 236800, 236778, 236770, 236786, 152532, 236761, 21729, 827, 623, 7777, 1083, 623, 118856, 34031, 496, 39622, 8659, 3905, 607, 83809, 827, 623, 19112, 1083, 11058, 80563, 827, 623, 17470, 827, 623, 107091, 99471, 1604, 623, 7655, 1083, 3714, 10617, 1083, 236743, 236771, 236764, 623, 17846, 1083, 236743, 236778, 236810, 236764, 623, 6725, 1083, 236743, 236770, 236810, 236771, 1807, 106, 107, 105, 4368, 107, 8291, 659, 506, 13154, 532, 4596, 42703, 564, 1765, 236787, 108, 1018, 43553, 580, 94345, 53121, 107, 236770, 236761, 5213, 818, 31016, 236789, 236751, 50104, 1018, 568, 236778, 236771, 236778, 236800, 236768, 138, 107, 139, 236772, 47240, 236787, 236743, 236832, 236761, 236828, 138, 107, 139, 236772, 10184, 236787, 3415, 98881, 236764, 18821, 8943, 138, 107, 139, 236772, 17243, 236787, 562, 101841, 22720, 529, 614, 19042, 236789, 236751, 8991, 532, 147424, 236761, 138, 108, 236778, 236761, 5213, 162890, 129379, 28917, 1018, 568, 236778, 236771, 236778, 236800, 236768, 138, 107, 139, 236772, 47240, 236787, 236743, 236828, 236761, 236770, 138, 107, 139, 236772, 10184, 236787, 24913, 72558, 236764, 17015, 53415, 138, 107, 139, 236772, 17243, 236787, 98717, 34499, 129379, 6540, 1343, 3577, 8511, 236761, 138, 108, 1018, 136971, 179864, 53121, 138, 107, 236770, 236761, 5213, 118856, 236772, 68122, 1018, 138, 107, 139, 236772, 870, 192218, 236787, 31016, 34031, 496, 39622, 8659, 3905, 5457, 2574, 1411, 10494, 236761, 152532, 236761, 854, 236786, 10494, 236786, 50526, 236812, 236810, 236825, 236786, 152532, 236761, 21729, 236768, 138, 107, 139, 236772, 64663, 236787, 997, 80563, 997, 17470, 997, 107091, 138, 108, 236778, 236761, 5213, 162890, 129379, 236772, 68122, 1018, 138, 107, 139, 236772, 870, 192218, 236787, 34499, 129379, 8134, 607, 37017, 4252, 8687, 5457, 2574, 1411, 10494, 236761, 152532, 236761, 854, 236786, 10494, 236786, 236759, 236770, 236778, 236800, 236812, 236810, 236825, 236832, 236828, 236819, 236771, 236786, 152532, 236761, 21729, 236768, 138, 107, 139, 236772, 64663, 236787, 997, 162890, 236794, 2486, 997, 57534, 997, 26873, 138, 108, 6481, 786, 1281, 768, 611, 236789, 236753, 1133, 531, 59638, 506, 21088, 3927, 3342, 653, 1202, 4889, 1003, 1032, 13154, 236888, 103453, 106, 107 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236787, 18428, 236888, 564, 236789, 236757, 12498, 236772, 24333, 236761, 2900, 740, 564, 776, 573, 611, 236881, 48609, 236787, 564, 236789, 236757, 4875, 531, 1502, 496, 2263, 4083, 4469, 1960, 1590, 528, 11210, 9339, 2760, 623, 229641, 175179, 2098, 532, 564, 1202, 1601, 54909, 26694, 580, 10365, 236761, 28344, 611, 1161, 600, 17673, 5904, 531, 33205, 20183, 529, 11858, 4469, 26309, 653, 4882, 4083, 48030, 528, 506, 61521, 236881, 564, 236789, 236753, 2765, 531, 1460, 910, 41628, 532, 2460, 6704, 573, 18014, 236761, 48609, 236787, 870, 30988, 657, 822, 4322, 236842, 29202, 236764, 1602, 600, 5904, 994, 1027, 20183, 607, 4876, 529, 236743, 236770, 236819, 594, 236772, 33201, 138645, 81746, 653, 7438, 117209, 236881, 669, 8943, 5796, 34641, 8817, 528, 22753, 8784, 496, 55738, 13234, 1948, 1271, 7463, 2426, 768, 901, 236789, 560, 2506, 496, 1237, 10365, 8781, 236881, 48609, 236787, 7062, 236764, 600, 4168, 8781, 607, 506, 1700, 598, 9096, 55738, 2471, 5724, 4011, 236888, 28344, 611, 33205, 910, 2587, 8781, 4889, 2148, 236881, 564, 1461, 531, 1460, 1144, 118252, 901, 1161, 573, 910, 623, 16146, 8382, 506, 30155, 236775, 3545, 13455, 236761, 15704, 692, 1451, 41049, 80480, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 33205, 506, 2587, 8781, 4889, 573, 506, 11858, 7299, 236789, 236751, 10365, 2881, 236761, 2282, 7162, 236764, 564, 236789, 859, 1202, 506, 4453, 15345, 568, 31048, 506, 12091, 1606, 529, 506, 8781, 611, 1461, 531, 17318, 236761, 28344, 611, 5091, 4024, 506, 3530, 10365, 6060, 611, 236789, 236753, 1133, 786, 531, 1385, 872, 236881, 1701, 2591, 236787, 623, 37540, 78660, 39421, 49133, 4618, 236775, 653, 623, 92401, 830, 57890, 553, 140628, 236775, 753, 9002, 910, 5396, 6060, 2473, 577, 236761, 106, 107, 105, 2364, 107, 37540, 2861, 69732, 582, 830, 78802, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 37540, 2861, 69732, 582, 830, 78802, 827, 623, 10602, 236779, 1201, 1083, 623, 35501, 5796, 137326, 42055, 827, 623, 76647, 1083, 236743, 236770, 236778, 236812, 236810, 236771, 236764, 623, 71524, 1083, 236743, 236778, 236800, 236771, 236764, 623, 22487, 1083, 236743, 236828, 236819, 236764, 623, 36627, 1083, 623, 162117, 17110, 55738, 22249, 532, 39983, 10063, 23060, 236761, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236771, 236812, 236785, 689, 236828, 236800, 236753, 236785, 689, 236755, 236771, 236744, 997, 21221, 20163, 997, 91270, 236794, 3651, 827, 623, 13330, 236779, 12904, 236779, 5521, 236825, 236812, 1083, 623, 236747, 65626, 1579, 236765, 236771, 61655, 1909, 70136, 1536, 13204, 236754, 30722, 236759, 8686, 2807, 236935, 34754, 49256, 623, 511, 236779, 7128, 1083, 2416, 236764, 623, 511, 236779, 87622, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8781, 1938, 573, 5213, 35501, 5796, 137326, 42055, 66515, 108, 236772, 5213, 29338, 66515, 75358, 2861, 69732, 582, 830, 78802, 138, 107, 236772, 5213, 13973, 7343, 66515, 8943, 5796, 137326, 42055, 138, 107, 236772, 5213, 27447, 616, 66515, 236743, 236770, 236778, 236764, 236812, 236810, 236771, 138, 107, 236772, 5213, 25221, 66515, 236743, 236778, 236800, 236771, 138, 107, 236772, 5213, 35999, 66515, 236743, 236828, 236819, 138, 107, 236772, 5213, 46065, 66515, 623, 162117, 17110, 55738, 22249, 532, 39983, 10063, 23060, 236761, 236743, 247506, 250009, 997, 21221, 20163, 997, 91270, 236794, 3651, 236775, 138, 107, 236772, 5213, 114895, 66515, 8438, 138, 107, 236772, 5213, 16679, 36011, 66515, 18326, 568, 5521, 236825, 236812, 236772, 32626, 1262, 52236, 236768, 138, 108, 2094, 2881, 7412, 5158, 532, 100146, 607, 822, 2142, 528, 11858, 26931, 236761, 9963, 118252, 1133, 5213, 236865, 21221, 20163, 1018, 532, 5213, 236865, 91270, 236794, 3651, 1018, 1451, 30463, 822, 623, 229641, 175179, 236775, 41628, 236761, 21284, 611, 1133, 786, 531, 18840, 910, 4803, 12714, 653, 3600, 13859, 6549, 236881, 106, 107, 105, 2364, 107, 159810, 236787, 870, 3258, 15190, 4448, 236764, 6114, 7804, 236842, 3792, 236858, 236751, 3137, 1131, 910, 4803, 12714, 236888, 2088, 776, 910, 13234, 11881, 6704, 10769, 531, 1041, 70450, 175179, 10884, 236881, 7062, 236764, 532, 768, 901, 236858, 560, 56188, 2263, 8634, 528, 4749, 236764, 600, 236858, 236753, 2583, 786, 6549, 573, 33000, 236761, 3199, 611, 8091, 910, 6524, 236743, 236770, 236771, 12714, 236858, 100264, 532, 118252, 236881, 564, 236858, 236757, 23210, 768, 901, 4928, 11858, 138645, 773, 1230, 1271, 564, 236858, 560, 1010, 114521, 8009, 16530, 62476, 8511, 531, 1023, 26931, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 2802, 531, 33205, 3530, 10365, 12714, 653, 100264, 1271, 506, 5904, 564, 1456, 6517, 1186, 212073, 6079, 8781, 1938, 236764, 711, 3141, 12714, 653, 11858, 3004, 236761, 236743, 108, 3048, 2473, 1461, 531, 24473, 11327, 910, 10365, 4387, 531, 18840, 12714, 236764, 653, 1966, 1699, 10365, 236789, 236751, 3927, 4065, 5467, 568, 236744, 236761, 236759, 1126, 19460, 118252, 1133, 997, 236824, 5018, 178179, 653, 997, 100368, 1479, 501, 773, 1230, 769, 21284, 611, 1133, 1601, 114521, 11403, 6549, 653, 68657, 822, 4469, 22888, 2721, 580, 506, 8781, 1262, 564, 808, 4881, 236829, 2847, 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 ]
[ 2, 2, 105, 2364, 107, 236840, 6302, 236842, 106, 107, 105, 9731, 107, 106, 107, 105, 2364, 107, 12553, 236772, 24333, 236787, 18428, 236888, 564, 236789, 236757, 12498, 236772, 24333, 236761, 2900, 740, 564, 776, 573, 611, 236881, 48609, 236787, 564, 236789, 236757, 4875, 531, 1502, 496, 2263, 4083, 4469, 1960, 1590, 528, 11210, 9339, 2760, 623, 229641, 175179, 2098, 532, 564, 1202, 1601, 54909, 26694, 580, 10365, 236761, 28344, 611, 1161, 600, 17673, 5904, 531, 33205, 20183, 529, 11858, 4469, 26309, 653, 4882, 4083, 48030, 528, 506, 61521, 236881, 564, 236789, 236753, 2765, 531, 1460, 910, 41628, 532, 2460, 6704, 573, 18014, 236761, 48609, 236787, 870, 30988, 657, 822, 4322, 236842, 29202, 236764, 1602, 600, 5904, 994, 1027, 20183, 607, 4876, 529, 236743, 236770, 236819, 594, 236772, 33201, 138645, 81746, 653, 7438, 117209, 236881, 669, 8943, 5796, 34641, 8817, 528, 22753, 8784, 496, 55738, 13234, 1948, 1271, 7463, 2426, 768, 901, 236789, 560, 2506, 496, 1237, 10365, 8781, 236881, 48609, 236787, 7062, 236764, 600, 4168, 8781, 607, 506, 1700, 598, 9096, 55738, 2471, 5724, 4011, 236888, 28344, 611, 33205, 910, 2587, 8781, 4889, 2148, 236881, 564, 1461, 531, 1460, 1144, 118252, 901, 1161, 573, 910, 623, 16146, 8382, 506, 30155, 236775, 3545, 13455, 236761, 15704, 692, 1451, 41049, 80480, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 859, 1601, 611, 33205, 506, 2587, 8781, 4889, 573, 506, 11858, 7299, 236789, 236751, 10365, 2881, 236761, 2282, 7162, 236764, 564, 236789, 859, 1202, 506, 4453, 15345, 568, 31048, 506, 12091, 1606, 529, 506, 8781, 611, 1461, 531, 17318, 236761, 28344, 611, 5091, 4024, 506, 3530, 10365, 6060, 611, 236789, 236753, 1133, 786, 531, 1385, 872, 236881, 1701, 2591, 236787, 623, 37540, 78660, 39421, 49133, 4618, 236775, 653, 623, 92401, 830, 57890, 553, 140628, 236775, 753, 9002, 910, 5396, 6060, 2473, 577, 236761, 106, 107, 105, 2364, 107, 37540, 2861, 69732, 582, 830, 78802, 106, 107, 105, 4368, 107, 106, 107, 105, 2364, 107, 236840, 7741, 11130, 236842, 107, 14937, 11668, 1083, 623, 37540, 2861, 69732, 582, 830, 78802, 827, 623, 10602, 236779, 1201, 1083, 623, 35501, 5796, 137326, 42055, 827, 623, 76647, 1083, 236743, 236770, 236778, 236812, 236810, 236771, 236764, 623, 71524, 1083, 236743, 236778, 236800, 236771, 236764, 623, 22487, 1083, 236743, 236828, 236819, 236764, 623, 36627, 1083, 623, 162117, 17110, 55738, 22249, 532, 39983, 10063, 23060, 236761, 621, 689, 236828, 236800, 236755, 236785, 689, 236760, 236771, 236812, 236785, 689, 236828, 236800, 236753, 236785, 689, 236755, 236771, 236744, 997, 21221, 20163, 997, 91270, 236794, 3651, 827, 623, 13330, 236779, 12904, 236779, 5521, 236825, 236812, 1083, 623, 236747, 65626, 1579, 236765, 236771, 61655, 1909, 70136, 1536, 13204, 236754, 30722, 236759, 8686, 2807, 236935, 34754, 49256, 623, 511, 236779, 7128, 1083, 2416, 236764, 623, 511, 236779, 87622, 1083, 1847, 236783, 106, 107, 105, 4368, 107, 8291, 236789, 236751, 506, 8781, 1938, 573, 5213, 35501, 5796, 137326, 42055, 66515, 108, 236772, 5213, 29338, 66515, 75358, 2861, 69732, 582, 830, 78802, 138, 107, 236772, 5213, 13973, 7343, 66515, 8943, 5796, 137326, 42055, 138, 107, 236772, 5213, 27447, 616, 66515, 236743, 236770, 236778, 236764, 236812, 236810, 236771, 138, 107, 236772, 5213, 25221, 66515, 236743, 236778, 236800, 236771, 138, 107, 236772, 5213, 35999, 66515, 236743, 236828, 236819, 138, 107, 236772, 5213, 46065, 66515, 623, 162117, 17110, 55738, 22249, 532, 39983, 10063, 23060, 236761, 236743, 247506, 250009, 997, 21221, 20163, 997, 91270, 236794, 3651, 236775, 138, 107, 236772, 5213, 114895, 66515, 8438, 138, 107, 236772, 5213, 16679, 36011, 66515, 18326, 568, 5521, 236825, 236812, 236772, 32626, 1262, 52236, 236768, 138, 108, 2094, 2881, 7412, 5158, 532, 100146, 607, 822, 2142, 528, 11858, 26931, 236761, 9963, 118252, 1133, 5213, 236865, 21221, 20163, 1018, 532, 5213, 236865, 91270, 236794, 3651, 1018, 1451, 30463, 822, 623, 229641, 175179, 236775, 41628, 236761, 21284, 611, 1133, 786, 531, 18840, 910, 4803, 12714, 653, 3600, 13859, 6549, 236881, 106, 107, 105, 2364, 107, 159810, 236787, 870, 3258, 15190, 4448, 236764, 6114, 7804, 236842, 3792, 236858, 236751, 3137, 1131, 910, 4803, 12714, 236888, 2088, 776, 910, 13234, 11881, 6704, 10769, 531, 1041, 70450, 175179, 10884, 236881, 7062, 236764, 532, 768, 901, 236858, 560, 56188, 2263, 8634, 528, 4749, 236764, 600, 236858, 236753, 2583, 786, 6549, 573, 33000, 236761, 3199, 611, 8091, 910, 6524, 236743, 236770, 236771, 12714, 236858, 100264, 532, 118252, 236881, 564, 236858, 236757, 23210, 768, 901, 4928, 11858, 138645, 773, 1230, 1271, 564, 236858, 560, 1010, 114521, 8009, 16530, 62476, 8511, 531, 1023, 26931, 236888, 106, 107, 105, 4368, 107, 236777, 236789, 236757, 15025, 236764, 840, 564, 1537, 236789, 236745, 735, 2802, 531, 33205, 3530, 10365, 12714, 653, 100264, 1271, 506, 5904, 564, 1456, 6517, 1186, 212073, 6079, 8781, 1938, 236764, 711, 3141, 12714, 653, 11858, 3004, 236761, 236743, 108, 3048, 2473, 1461, 531, 24473, 11327, 910, 10365, 4387, 531, 18840, 12714, 236764, 653, 1966, 1699, 10365, 236789, 236751, 3927, 4065, 5467, 568, 236744, 236761, 236759, 1126, 19460, 118252, 1133, 997, 236824, 5018, 178179, 653, 997, 100368, 1479, 501, 773, 1230, 769, 21284, 611, 1133, 1601, 114521, 11403, 6549, 653, 68657, 822, 4469, 22888, 2721, 580, 506, 8781, 1262, 564, 808, 4881, 236829, 2847, 236881, 106, 107 ]